1(3(& )$&( 8)* · The Dark Side of Prudential MeasuresI Paulo R. Scalco a, Benjamin M. Tabak1,...

55
SÉRIE DE TEXTOS PARA DISCUSSÃO DO CURSO DE CIÊNCIAS ECONÔMICAS TEXTO PARA DISCUSSÃO N. 078 The Dark Side of Prudential Measures Paulo R. Scalco Benjamin M. Tabak Anderson M. Teixeira NEPEC/FACE/UFG Goiânia – Junho de 2019

Transcript of 1(3(& )$&( 8)* · The Dark Side of Prudential MeasuresI Paulo R. Scalco a, Benjamin M. Tabak1,...

Page 1: 1(3(& )$&( 8)* · The Dark Side of Prudential MeasuresI Paulo R. Scalco a, Benjamin M. Tabak1, Anderson M. Teixeira aFaculty of Management, Accounting and Economics, Federal University

SEacuteRIE DE TEXTOS PARA DISCUSSAtildeO DO CURSO DE CIEcircNCIAS ECONOcircMICAS TEXTO PARA DISCUSSAtildeO N 078

The Dark Side of Prudential Measures

Paulo R Scalco

Benjamin M Tabak Anderson M Teixeira

NEPECFACEUFG Goiacircnia ndash Junho de 2019

Seacuterie de Textos para Discussatildeo do Curso de Ciecircncias Econocircmicas ndash FACEUFG ndash TD [078]

Dados Internacionais de Catalogaccedilatildeo na Publicaccedilatildeo (CIP) GPTBCUFG

Scalco Paulo Roberto The Dark Side of Prudential Measures Benjamin M Tabak Anderson M Teixeira - 2019

53 f (Seacuterie de Textos para Discussatildeo do Curso de Ciecircncias Econocircmicas 078)

Universidade Federal de Goiaacutes Faculdade de Administraccedilatildeo Ciecircncias Contaacutebeis e Ciecircncias Econocircmicas (FACE) Goiacircnia 2018

1 Bank Regulation 2 Prudential Measures 3 Market Power IV Tiacutetulo

The Dark Side of Prudential MeasuresI

Paulo R Scalcoa Benjamin M Tabak1 Anderson M Teixeiraa

aFaculty of Management Accounting and Economics Federal University of Goias - FACEUFG BrazilbEscola de Polıticas Publicas e Governo Fundacao Getulio Vargas - FGVEPPG (School of Public Policy

and Government Getulio Vargas Foundation - FGV) Brasılia Brazil

Abstract

In the aftermath of the financial crisis of 2008 and 2009 there is a series of changes in the

scenario of financial regulation Globally several macroprudential measures that seek to

limit systemic risk are currently in use We evaluated the effect of these measures on the

market power of banks in the Brazilian case in which there was a process of great banking

concentration that coexists with high bank spreads Using an innovative methodology we

show that the effect of macroprudential measures is to reduce bank competition by increasing

the market power of banks It is essential that financial regulators consider this adverse effect

in the design of a financial regulation that not only aims at financial stability but also a

more competitive banking system

Keywords Bank Regulation Prudential Measures Market Power Lerner Index

Stochastic Frontier

IPaulo R Scalco (Grant no 4210782018-9) Benjamin M Tabak (Grant no 3054272014-8) andAnderson M Teixeira (Grant no4021702016-4) gratefully acknowledge financial support from the CNPqfoundation

Email addresses scalcoufgbr (Paulo R Scalco) benjamintabkgmailcom (Benjamin MTabak) andersonmutterteixeiragmailcom (Anderson M Teixeira)

Preprint submitted to Elsevier June 27 2019

1 Introduction

The financial crisis that hit the economies of the world from 2007 to 2009 reinvigorated

the debate on how to regulate banks and other financial institutions to ensure financial

stability Before the global financial crisis (GFC) financial regulation for banks and other

financial intermediaries was focused on instruments aimed at reducing the risk of bankruptcy

ie microprudential measures However as seen in the GFC the bankruptcy of a large

financial institution (FI) put at risk the solvency of the system as a whole and raised concerns

about global financial stability Since then systemic risk became the focus of financial

regulation - macroprudential measures

The implementation of this new set of micro and macroprudential measures has raised

several challenges for assessing the impact of such measures on banks and the financial

system as a whole and spurred a vast literature on the subject One of the main challenges

is to evaluate the effectiveness of macroprudential policies concerning the central objective

of increasing resilience Besides that to smooth the business cycles of the financial system

(Claessens et al 2013 Claessens amp Laeven 2004 Cerutti et al 2017a Jimenez et al 2017

Altunbas et al 2018 Ely et al 2019 Klingelhoger amp Sun 2019 Richter et al 2019)

To the best of our knowledge we note that most of the research focuses on analyzing

the impact of prudential measures (micro and macroprudential) on bank loans risk-taking

behavior of the FI or transmission of monetary policies however not directly on the (in)

efficiency of the credit market There are few exceptions The first is the work of Cubillas

amp Suarez (2018) that investigates the negative impact of the GFC on the availability of

credit and find that the increase of the banksrsquo market power neutralized this effect The

relevant fact of this study is that this neutralizing effect on the availability of credit caused

by the increase in market power is more significant in countries with fewer restrictions on

the activities of banks or less power of official supervision of financial institutions

The second is Ayyagari et al (2018) combining balance sheet data on 900000 firms

from 48 countries between 2003 and 2011 with detailed data on the use of macroprudential

policy instruments The main result indicate that macroprudential policies are negatively

2

associated with firm financing growth

In light of this situation this article in a pioneering way investigates the influence of

some prudential measures (micro and macroprudential) on the market power of Brazilian

banks using a new class of market power estimation models based on border techniques

(Stochastic Frontier Analysis - SFA) initially proposed by Kumbhakar et al (2012)

The central hypothesis formulated in this paper is that prudential rules to which FIs are

subject may affect banks market power According to Claessens amp Laeven (2004) any policy

that restricts banking activity and makes it challenging to operate has negative impacts on

market competition since it enables large banks to increase their market power Therefore

a strict prudential regulatory framework could affect concentration indices and influence the

market power of FIs since the implementation of Basel I agreements in 1988

Our main contribution is to demonstrate that tightening on prudential measures has

a positive impact on bank mark-ups and therefore detrimental effects on competition in

the Brazilian banking industry Although not wholly comparable intuitively our results

are contrary to those of Cubillas amp Suarez (2018) A second empirical verification was to

establish a positive relationship between concentration and mark-up in the same sense estab-

lished by the traditional structure-conduct-performance paradigm of industrial organization

literature

Another contribution concerns the empirical method For the first time we employ

SFA models to estimate market power for Brazilian banks on an individual basis With

the estimation of the Lerner indexes for each bank it is possible to evaluate the market

power according to ownership and to verify that state-owned banks have market power

slightly lower than the private banks and foreign banks respectively Finally we also obtain

estimates of returns to scale that provides some evidence that Brazilrsquos financial institutions

operate with decreasing returns to scale

Although there is a large body of literature that shows the positive effects of prudential

measures ndash micro and macro ndash there is scarce literature that discusses the adverse effects of

these policies Most of the literature focuses on the effectiveness of these measures (Claessens

et al 2013 Cerutti et al 2017ab Jimenez et al 2017 Altunbas et al 2018 Ely et al

3

2019 Klingelhoger amp Sun 2019 Richter et al 2019) We present evidence that this effect

comes with a cost This reult is even more true for countries with imperfect credit markets

such as Brazil in which banking spreads are very high in real terms

We organize the remainder of the paper as follows In section two we present related

literature We present the empirical model in section three while we describe the database

and the empirical strategy in section four In the fifth section we present our main results

and in the sixth and last section we present our final considerations

2 Brief Literature Review

We can divide the literature related to our article into two groups The first group focuses

on the effectiveness of prudential measures while the second focuses on the traditional

literature of industrial organization more specifically on the estimation of market power

Before GFC the focus of financial regulation for banks and other financial intermediaries

was on instruments aimed at reducing the risk of bankruptcy ie measures of a micropru-

dential nature and not on the financial system as a whole However as seen in the GFC the

bankruptcy of a large FI put at risk the solvency of the system as a whole When a large

FI fails there is potential for amplification and contagion in the banking system These

effects may lead to cascade failures in the financial system which can provoke a significant

shock that affects the real sector adversely In order to account for the interconnections that

may exist between financial system players financial regulation changed its focus to curb

systemic risk using macroprudential measures

The works of Moreno (2011) Galati amp Moessner (2013) Lim et al (2011) Claessens

et al (2013) Claessens (2015) and Freixas et al (2015) summarize the main prudential

instruments (microprudential and macroprudential) implemented by developed and devel-

oping countries Also they present their meaning and purpose to mitigate the probability

of bankruptcy of FIs and the systemic risk arising from the procyclicality and the intercon-

nectivity between FIs

Among the empirical studies Lim et al (2011) analyze the links between macroprudential

policies and the development of the credit market and bank leverage They find evidence

4

suggesting that the presence of policies such as limits on maximum loan value (LTV) limits of

indebtedness (DTI) limits of credit growth capital reserve requirements and dynamic rules

of provisioning are associated with reductions in the procyclicality of credit and leverage

Claessens et al (2013) investigate how the change in the individual balance sheets of

banks in 48 countries in the period 2000-2010 responds to specific changes in some macro-

legal measures Among the main results the authors show that the maximum limits of

LTV DTI and the maximum limits of foreign currency lending are effective in reducing the

growth of bank leverage and the price of assets

Aiyar et al (2014) show that in response to stricter capital requirements (capital re-

quirement) regulated banks reduce borrowing while unregulated banks may even increase

Gropp et al (2018) study the requirement for higher capital requirements Its results point

to a reduction in credit and a smaller search for capital to meet the new targets Auer

amp Ongena (2019) find that an additional capital requirement on real estate loans leads to

growth in the retail lending channel

In addition to this empirical evidence Cerutti et al (2017a) using an IMF survey cover-

ing the use of twelve macroprudential measures in 119 countries over the period 2000-2013

indicate that in general emerging countries use intensely such instruments Also instru-

ments such as LTV and others that limit the level of indebtedness are associated with the

decline in credit growth especially real estate lending

Other studies however focusing on a few prudential measures and for few countries also

stand out Igan amp Kang (2011) investigate only the effectiveness of LTV and DTI measures

in Korea Wong et al (2011) also use only the LTV and DTI measures to investigate the

behavior of real estate credit and real estate prices in Hong Kong Camors amp Peydro (2014)

investigate the effect of capital withdrawal in Uruguay in the year 2008 Aiyar et al (2014)

also investigate the capital requirement for UK banks and confirm a substantial effect on

the bank loan Finally more recently Altunbas et al (2018) direct the investigation of the

effectiveness of macroprudential measures for the risk behavior of banks

Overall this literature shows that for different countries samples and prudential mea-

sures there is a positive effect on systemic risk Countries that implement these measures

5

can reduce their lending growth to more sustainable levels and improve their financial sta-

bility However what is the costs of these measures Is there a trade-off in using such

measures We now discuss the market power and bank competition literature to assess the

second strand of the literature that helps us make our connection

In the competition-related literature in the banking industry research models and ap-

proaches generally have a limitation due to the structure and availability of data However

the model of Panzar amp Rosse (1987) - PR - is a standard method when one wants to evaluate

the degree of competition in the industry Only in Brazil we can cite the works of Belaisch

(2003) Araujo amp Jorge Neto (2007) Lucinda (2010) Tabak et al (2012) Silva Barbosa

et al (2015) Tabak amp Gomes (2015) and Cardoso et al (2016) In our investigation we

found only two other studies that did not use the PR model Nakane (2002) uses a structural

model as proposed by Bresnahan amp Reiss (1991) and Coelho et al (2013) use a bank entry

model developed by Bresnahan (1982) Internationally the literature is vast and Bikker

et al (2012) offers a comprehensive survey of the literature developed around the world

Most papers that use the PR H-statistic assume it has a monotonic relationship with

bank competition Panzar amp Rosse (1987) did not establish this monotonic relation between

H-Statistic and the degree of market competition The magnitude of the H-Statistic relates

to ranges of values that refer to the hypothesis underlying the market structure Thus it does

not represent a monotonic relationship with the degree of market power (Panzar amp Rosse

1987 Bikker et al 2012 Cardoso et al 2016) Another problem is that the hypotheses

underlying the equilibria of monopolistic and perfect competition in the PR model use

another extremely restrictive set of hypotheses An important one is that the observed data

is from firms that operate in long-term equilibrium Also the model is susceptible to the

variables used and the specification used in the estimation process of the model (Hyde amp

Perloff 1995) Bikker et al (2012) are more emphatic and argue that the H-Statistic does

not even have an ordinal function with the level of competition in the industry

Given that what the evidence suggests is that H-statistics is not a reliable measure of

the degree of market power in an industry At least not in a continuous sense or monotonic

of measure Hyde amp Perloff (1995) emphasize that although structural models have some

6

influence on the specifications of their functions they would still be the only models capable

of providing an estimate of the degree of market power

Given this context we will use a new class of models to measure the degree of market

power proposed by Kumbhakar et al (2012) and based on stochastic boundary analysis

techniques (SFA) The SFA models have several advantages when compared to the traditional

models of literature known as New Industrial Empirical Organization (NEIO) and allow

estimating in a single model a unified structure a mark-up measure and an indicator of

market power Also we can obtain measures of elasticity return to scale and efficiency

Among the main advantages of SFA models it is possible to emphasize the flexibility

and the low requirement of information for estimations of the models The method also

allows estimating market power with or without constant returns to scale and provides an

estimate of the degree of market power in the same style as the Lerner index (Lerner 1934)

thereby circumventing the critique of the use of H as a monotonic measure of the degree

of competition Another advantage of the method is that unlike most NEIO models this

measure of market power is not only an estimate of the average parameter of the competition

level of the industry but the method also allows estimating a measure of the degree of market

power per bank and over time In the same way it is possible to estimate the returns to

the banksrsquo scale Finally the SFA technique allows the parameter of market power to be a

function of deterministic variables

One of the pioneering works using SFA techniques in the banking industry is the work

of Coccorese (2014) In this article the author estimates the Lerner index for each bank

individually for a group of countries between 1994 and 2012 with the results being broadly

comparable with the traditional NEIO models More recently Das amp Kumbhakar (2016)

have also used this class of models to investigate the market power of Indian banks

We use this model to evaluate the effect of prudential measures on the bankrsquos market

power Combining an SFA method with data on prudential measures we can estimate these

effects We use prudential measures as explanatory variables for the market power parameter

that we estimate in the SFA

7

3 Empirical Method

31 Empirical Model

Our empirical model follows the models proposed by Coccorese (2014) and Das amp Kumb-

hakar (2016) However we incorporate the possibility that the mark-up has two components

a purely stochastic and a deterministic part The derivation of the model starts from the

equilibrium condition that for a profit-maximizing bank (P ) will be greater than or equal

to its Marginal Cost (MC)

P geMC (1)

The distance between P and MC determines the degree of market power of the bank

If we multiply both terms of the inequality in equation 1 by the ratio of the total product

(Y ) and the total cost (C) and considering that MC = partCpartY

we have

P middot YCge partC

partY

Y

C (2)

or

TR

Cge partlnC

partlnY (3)

Where TR corresponds to the total revenue and the relationship established in equation 3

states that in the same way as price deviates from its marginal cost the revenue-cost ratio

of the bank (TRC) detracts from its cost-elasticity

The inequality in equation 3 can be solved by adding a non-negative term u Thus

RC equiv TR

C=

partlnC

partlnY+ u u ge 0 (4)

RC is the observed revenue-cost ratio and partlnCpartlnY

is the cost-elasticity The non-negative

term u represents the mark-up of the bank however it can not be calculated using the

bankrsquos accounting data because the cost elasticity unlike RC must be calculated from a cost

8

function In addition the revenue-cost ratio can be affected by other unobserved variables

To accommodate this assumption we add a random error term iid v to equation 4

RC =partlnC

partlnY+ u+ v (5)

32 Primal Approach

As equation 5 has been defined we need to specify a cost function to estimate the term

u that is we are using a dual approach in the context of production theory Kumbhakar

et al (2012) show however that SFA models can use both the dual and primal approaches

to estimate market power In the dual approach the total cost of the bank depends on

the output quantity and input prices and the primal approach we can specify a produc-

tion function (or an input-distance function) where the output is a function of only input

quantities

This flexibility is essential because unlike many examples in the banking industry we do

not have information available on input prices When empirical models need this informa-

tion such as the PR model for example researchers circumvent this problem by estimating

input price estimates from accounting information such as the ratio between expenditure

and the amount of input used (expenditure on staff on total assets for example) The use

of this artifice however as highlighted by Kumbhakar et al (2012) can generate problems

in situations where the amount of input is endogenous

Thus like Das amp Kumbhakar (2016) we use the primal form as an alternative to the dual

form We start from the specification of a transformation function defined as Af(x Y T ) =

1 where f(middot) is a production function for a given technology Y is the quantity produced x

is the quantity vector of inputs used T is a trend variable capturing technological changes

and A is a parameter of neutral technological shift

Using a set of appropriate identification restrictions (Kumbhakar 2012) we can derive a

function input distance (IDF) from the transformation function given by xJ = Ah(x Y T )

or lnxJ = Ah(ln x lnY T ) where xj =xj

xJ j = 1 2 J minus 1 The IDF uses the normal-

ization that f(x Y T ) is homogeneous of degree minus1 iesum

jpartlnfpartlnxj

= minus1

9

Assuming that banks minimize the cost subject to technology specified by the production

function the Lagrangian for the minimization can be defined as

L = wrsquox + λ(Af(x Y T )minus 1) (6)

where w is a vector of input prices and the corresponding first order condition is

wj = minusλApartf(middot)partxj

j = 1 2 J (7)

Multiplying and dividing both sides by xj and f(middot) and rearranging terms we can

rewrite 7 as

wjxj = minusλAf(middot)partf(middot)partxj

xjf(middot)

= minusλAf(middot)partlnf(middot)partlnxj

j = 1 2 J (8)

If we take the sum of all inputs equation 8 becomes

C =Jsum

j=1

wjxj = minusλAf(middot)Jsum

j=1

partlnf(middot)partlnxj

rArr minusλA =C

f(middot)middot 1sumJ

j=1partlnf(middot)partlnxj

(9)

From the envelop Theorem we have that the marginal cost (MC) is partLpartYequiv MC =

λApartf(middot)partY

= 0

If we use equation 9 we can express it as

MC = minus C

f(middot)middot 1sumJ

j=1partlnf(middot)partlnxj

middot partf(middot)partY

partC

party

Y

Cequiv partlnC

partlny= minuspartf(middot)

partY

Y

f(middot)middot 1sumJ

j=1partlnf(middot)partlnxj

EC equivpartlnC

partlny= minuspartlnf(middot)

partlnYmiddot 1sumJ

j=1partlnf(middot)partlnxj

=partlnf(middot)partlnY

equiv EY (10)

Equation 10 states that the Cost Elasticity (EC) equals Product elasticity (EY ) which

can be calculated from the parameters of the distance input function (IDF) This result

10

is important because it means that we can substitute the term on the right side of the

equation 5 by product elasticity that is

RC =partlnf(middot)partlny

+ u+ v u ge 0 (11)

The advantage of estimating equation 11 rather than equation 5 is that we can estimate

mark-ups without the need for input and output prices that is we only need the information

on revenue and total cost of banks and the respective input quantities

In order to estimate the mark-up defined in equation 11 we assume that the transforma-

tion function takes a form of the translog type and apply the appropriate normalizations as

in Kumbhakar (2012) to express the transformation function in the form of an input input

function given by

lnx1 = α0 +Jminus1sumj=1

αjlnxj +1

2

Jminus1sumj=1

Jsumk=2

αjklnxjlnxk

+ αY lnY +1

2αY Y (lnY )2 +

Jminus1sumj=1

αjY lnxjlnY+ + αTT +1

2αTTT

2

+Jminus1sumj=1

αjT lnxjT + αY TT lnY

(12)

from which we can derive the product-elasticity as

EY equivpartlnx1partlnY

= αY + αY Y lnY +Jminus1sumj=1

αjY lnxj + αY TT (13)

where xj =xj

xJ j = 1 2 J minus 1

Replacing equation 13 in equation 11 we define our empirical equation as

RC = αY + αY Y lnY +Jminus1sumj=1

αjY lnxj + αY TT + u+ v (14)

As highlighted by Kumbhakar et al (2012) once that we are interested in estimating

the individual mark-up of each bank we need to focus only on 14 without the need to

11

estimate the full distance input function defined by 12 Besides since the compound error

term (ε = u + v) is the same in the SFA models we use the Maximum Likelihood method

to estimate the model (14) For this it is necessary to assume a hypothesis about the

distribution of the two components

We follow the literature and assume that the random error component v is independent

and identically distributed with a normal distribution zero mean and constant variance

that is v sim N(0 σ2v) On the other hand for the nonnegative component u representing

the banksrsquo mark-up we extend the models of by Coccorese (2014) and Das amp Kumbhakar

(2016) and separating the deviation from the competitive frontier in a deterministic part

which is a function of a vector of explanatory variables Zrsquo of the purely stochastic part

Following the SFA literature we estimate the deterministic component of mark-up si-

multaneously with the parameters of the 14 in the same way as Lopez et al (2018) This

procedure reduces possibility of bias of the estimates when the stochastic term includes

determinants of deviations Thus the mark-up (u) in 14 can be represented by

u = Zrsquoδ + ω (15)

where ω is the stochastic component of mark-up and is defined by a truncated normal

distribution with zero mean and constant variance σ2ω such that ω ge -Zrsquoδ Therefore the

mark-up (u) follows a distribution u sim N+(Zrsquoδ σ2ω)

Combining equations 14 and 15 the model we estimate is as follows

RC = αY + αY Y lnY +Jminus1sumj=1

αjY lnxj + αY TT + Zrsquoδ + ωit + v (16)

In order to verify the impact of prudential measures on the degree of competition we

have included the measures Cerutti et al (2016) as determinants of mark-up in addition to

a measure of concentration represented by the HHI calculated from the total assets of the

banks

12

33 Market Power

To measure the degree of power of each bank we use the traditional measure defined by

Lerner (1934)

L =P minusMC

P (17)

if L = 0 P = MC and for any value L gt 0 P gt MC In the limit L = 1

The connection between the SFA model (equation 16) and the Lerner index is done

rearranging the equation 5 Omitting the error term (v) for simplification we can rewrite

equation 5 as

P middot YC

partlnY

partlnCminus 1 = u

partlnY

partlnCmiddot (18)

Considering that partlnYpartlnC

= (partYpartC

)(CY

) we have

P minusMC

MC=

u

EC

middot (19)

Equation 19 corresponds to an alternative definition of mark-up called θ where the

distance between price and marginal cost is expressed as a fraction of the latter In addition

since the function input distance is dual the cost function we can substitute EC for EY in

equation 19 and after estimating equation 16 and obtain estimates of the mark-up (u) the

estimation of market power can be obtained by replacing the values estimated in equation 19

as follow

θ equiv P minusMC

MC=

u

αY + αY Y lnY +sumJminus1

j=1 αjY ln xj + αY TT (20)

This estimate can be used to obtain the traditional measure of Lerner index as in

equation 16 employing the following formula

L =θ

1 + θ (21)

13

34 Returns to Scale

Finally we can use the estimates of equation 16 to obtain other characteristics of tech-

nology such as the return to scale and the scale bias Formally EC = partlnCpartlnY

= (partCpartY

)(YC) =

MCAC where AC represents the average cost This means that the return to scale is

inversely related to cost elasticity that is RTS = 1EC If EC = 1 we will have constant re-

turns to scale if EC lt 1 we will have increasing returns (economies of scale) and if (EC gt 1)

we will have decreasing returns (diseconomies of scale) Again using the duality condition

between IDF and the cost function we can use the estimates of equation 16 to calculate the

return to scale and scale bias Respectively

RTS =1

αY + αY Y lnY +sumJminus1

j=1 αjY ln xj + αY TT(22)

and

Scale Bias = αY T (23)

If the scale bias parameter (αY T ) is statistically significant and greater than zero this

suggests that technological change is reducing economies of scale over time

4 Database and empirical approach

The database used can be divided into two parts The first part includes the information

of all FI authorized to operate in Brazil by the Brazilian Central Bank (BCB) This infor-

mation is available on the BCBrsquos website through the IFdata system and contains detailed

information on the balance sheet income statement and credit portfolio of all IFs In ad-

dition data are available on an individual basis as well as on financial conglomerates and

prudential conglomerates1 For this work we use the concept of financial conglomerates In

1The BCB defines as a financial conglomerate the group of financial entities directly or unrelated byshareholding or by effective operational control characterized by standard management or by operatingin the market under the same brand or commercial name (Circular note no 1273 from Brazilian CentralBank) The concept of a prudential conglomerate in turn encompasses a broader universe of entities suchas consortium administrators payment institutions and companies that purchase credit operations (Officedocument no 1273 from Brazilian Central Bank)

14

December 2018 there was information on a total of 2753 IFs between commercial banks

or multiple banks with and without commercial portfolios credit cooperatives development

banks among others arranged quarterly since the first quarter of 2000

Our sample was restricted only to commercial banks or multiple banks with commercial

portfolios and savings banks Banks with loan portfolio equal zero and did not contain

information for at least three consecutive years were excluded In the same way we excluded

banks with observations that fell bellow 1st percentile of the sample for each one of variables

used in the model or above 99th percentile only for the dependent variable RC = TRC

Furthermore we chose to work with the data on a semi-annual basis (June and December

base dates) because inconsistencies we have found in some quarterly accounting data After

applying all these criteria our sample was restricted to a panel with only 83 banks between

the first half of 2000 and the second half of 2014 totaling 1818 observations2 In terms

of representativeness our sample with only 83 banks corresponded to 794 of the total

assets and 817 of the credit portfolio of the entire SFN in December 2014

The second database was obtained from Cerutti et al (2016) In this unprecedented

database the focus is on the change and intensity in the use of a set of prudential instruments

classified as micro-prudential and macro-prudential3 They collect the data for 64 countries

with a quarterly period covering the period between the first quarter of 2000 and the fourth

quarter of 2014 In the database in addition to a considerable number of countries the

information collected by the authors has the objective of mapping the intensity and the

change occurring quarterly in each of the prudential instruments

The original instruments of the database are the capital requirement capital buffer

interbank exposure limit concentration limit maximum loan amount commonly known as

Loan-to-value and reserve requirement

Concerning the capital requirement instrument we can understand it as an imposition

2Although the BCB has information until the second half of 2018 the database with prudential variablesavailable in the article by Cerutti et al (2016) goes only until the second half of 2014

3The database of Cerutti et al (2016) is a considerable advance to the available prudential data collectedso far in Lim et al (2011) and Cerutti et al (2017a) In both studies the focus is on only identifying whetheror not the country has implemented the appropriate prudential instrument

15

for a compulsory deposit with the BCB of demand deposits of financial institutions Capital

buffer serves as a buffer against countercyclical capital whose purpose is to protect the

banking sector in periods of excessive credit growth which is associated with increased

systemic risk On the other hand in periods of credit constraint the buffering capital may

decrease and thus not affecting the performance of the real side of the economy

The interbank exposure limit is a liability limiter maintained by the banking sector as a

whole or by a particular bank By the concentration limit we mean a procedure that limits

the fraction of assets concentrated to a limited number of borrowers

Loan-to-value is a restriction to the borrower or activity It is the imposition of maximum

amounts of loans on the value of collateral or even maximum amounts of indebtedness to the

income of the borrower Finally we can interpret a reserve requirement as an instrument

whose purpose is to limit the multiplication of money in the economy through the imposition

of compulsory deposits with the Central Bank

The prudential capital buffer instrument was broken down into the following categories

general capital requirement real estate credit consumer credit and others We decompose

the reserve requirement instrument into two sub-indices local domestic currency and foreign

currency

Information on intensity and change in prudential tooling is collected as follows by the

researchers If the financial regulator tightens the instrument in question in a specific quarter

the index assumes a value of +1 On the other hand if the same instrument undergoes

relaxation or loosening the value of minus1

Finally the index receives a value of zero if there was no change in the prudential

instrument in that quarter4 According to Cerutti et al (2016) in addition to capturing the

intensity of change in such a prudential policy this type of coding incorporates qualitative

characteristics of the policy that are lost by the type of dichotomous coding (1 if implemented

and 0 otherwise) Despite the simplicity of the coding used it is imperfectly able to measure

direction in policy change Not all the instruments available on the original basis were used

4For more details on how the base was built see Cerutti et al (2016)

16

because some measures were not implemented by the BCB Examples are the capital buffer

for real estate credit the concentration limit of banks to sectors or borrowers and the limit

on interbank exposure

Moreover due to the low variability in most measures and the semi-annual structure

of the database obtained in the BCB we chose to use the cumulative indexes of variation

According to Cerutti et al (2016) the purpose of this cumulative index is to capture the

level of tightness or looseness over a given period Finally to capture an overall measure of

prudential instruments we aggregate all variations of prudential instruments into a single

aggregate instrument called cumulative prudential Table A5 attached illustrates the

change and the intensity of the prudential instruments implemented by Brazil according to

the data collected by Cerutti et al (2016)

Our empirical strategy consists in estimating the equation 16 by Maximum Likelihood in

a two-stage procedure wherein the first stage we obtain the estimates of the parameters of

the equation and in the second stage we calculate the estimates of uit using the conditional

mean estimator of Jondrow et al (1982)

After obtaining the estimates of u and RC equiv EY we use equation 20 to calculate the

estimated values of θ which are used to calculat e the Lerner Index (L) according to

equation 21

We estimated six models wif different sets of deterministic variables (prudential measures)

to control the parameter of market power (uit) In the first model we did not add any

controls In the second we include only the HHI In the third specification we include the

capital buffer and capital requirement The fourth model uses only the loan-to-value In the

fifth model we include reserve requirements in both foreign and local currency and in the

last model we include the cumulative prudential measure which is the sum of the changes

in all other prudential measures

The inclusion of prudential variables in a separated way was necessary because they

represent only the tightening or the loosening of the prudential instrument Therefore they

do not represent the change in the magnitude of the prudential instrument As such the

variables have little variability and the high correlation generated between them causes

17

severe problems in the estimation process by maximum likelihood In general the tests with

the aggregate models did not reach the convergence of likelihood function even using different

strategies for initial values or optimization algorithm and when the optimization reaches an

optimal state the estimates were inconsistent For this reason we chose to estimate simpler

models including prudential variables separately or at most two when they represented

similar measures

Besides two critical events occurred in the second half of 2008 and significantly changed

the structure and dynamics of the banking industry in Brazil The outbreak of the subprime

crisis in the US and the acquisition of Unibanco by Itau in Brazil5 Itau-Unibanco has become

the largest bank in Brazil (Itau-Unibanco) accounting for 191 of total SFN assets and

184 of the total loan portfolio in the second half of 2008

We can observe the increase in market concentration in Figure 1 which represents HHI

concentration indices for total assets and total credit portfolio The increase in concentra-

tion levels of the banking industry on the other hand also coincides temporarily with the

outbreak of the GFC and an increase in rigidity in prudential instruments after the onset of

the crisis6

These events result in a high correlation between the variables and making it more

difficult to isolate the effects of each variable on the parameter of market power In this

way we also chose to estimate an HHI-only model as the control variable of market power

(uit)

Figure 1 Evolution of the Herfindahl Index (HHI) over time using credit and total assets

for the Brazilian banking system

We summarize the description of the variables that we will use in the estimation of

5Unibanco was the sixth largest Brazilian bank in the first half of 2008 accounting for 59 of total SFNassets and 6 of the total loan portfolio Also Itau was the third largest bank with 118 of SFN and119 of the loan portfolio

6Cubillas amp Suarez (2018) find the same result as the banksrsquo market power increased shortly after theGFC

18

equation 16 and how we calculate them in Table 1 All variables included in equation 16

except for trend prudential variables an HHI are in the logarithms form

Table 1 Variables used to IDF estimatation

5 Empirical Results

We present the results of the models in Table 2 Initially focusing on the interpretation

of the parameters of the input-distance function we verified that the size of the IF credit

portfolio (lnY ) has a negative sign but it was significant only for models 1 4 and 5 This

result implies that the larger the portfolio size the lower the revenue-cost ratio of the FI

Table 2 Results of IDF estimation

The coefficients of Staff costs (lnx1) and volume of funding (lnx2) were also negative

and significant in all models Thus the higher the staff costs and the higher the funding

volume the lower the cost-to-cost ratio of the FIs The trend variable as established by

equation 23 represents the scale bias and the negative sign would indicate that technological

change would increase economies of scale over time however no estimate was significant

51 Impact of Prudential Measures on Mark-up

The evaluation of the variables that determine the mark-up parameter (u) shows that

all of them are statistically significant and positive The SFA model is not linear in these

parameters Therefore the value of the coefficients does not represent the effect of the

magnitude of changes in the variables on the mark-up (their elasticities) However we can

estimate their marginal effects We present them for each variable in Figure 2

19

Figure 2 Marginal effects of HHI and prudential instruments (Capital Buffer Capital

RequirementLTV Reserve Requirement (Foreign) Reserve Requirement (domestic) and

cumulative prud) on themark-upucomponent

The positive sign of HHI in model 2 means that the more concentrated the banking

industry is the higher the market power of FIs This result is in line with that established by

the traditional structure-conduct-performance paradigm (Schmalensee 1989) However as

can be seen in Figure 1 the increase in the concentration index coincides with the tightening

of the prudential measures stemming from the GFC In this sense we can not say whether

this is the real effect of the increase in market concentration on the market power of FIs or

whether it is affected by the tightening of prudential measures

If we focus on prudential instruments the results for capital buffers and the capital

requirement (model 3) indicate that a tightening in these variables - whose purpose is to

increase banksrsquo capital reserve during positive shocks in the economy - has a detrimental

effect on competition market since they raise the IF mark-ups This effect happens because

this prudential measure influences the smoothing of the credit supply cycle

The same results are present for the loan-to-value variable (model 4) In general this

measure sets limits on the leverage of mortgages and other securities and a tightening in

ltv is effective in controlling possible booms in the real estate market by reducing real estate

prices and ultimately reducing the excess volatility of the economy ((Zhang amp Zoli 2016

Ely et al 2019) According to the result found the higher the limits the greater the market

power of the FIs

With respect to reserve requirements both in foreign and local currency - credit limits

directly in foreign currency and domestic currency respectively - the results (model 5) also

demonstrate a detrimental effect on competition since the tightening in such measures also

implies an increase mark-up of IFs In the model 6 where we introduce the aggregate

prudential measure the result found is similar to the others that is the higher the tightness

(in general) in the prudential measures of the financial system the higher the market power

of FIs

20

Unfortunately since prudential variables represent only a measure of tightening or loos-

ening of prudential policy and not its magnitude we can not accurately assess the impact

of these variables on the mark-up The marginal effects represented in Figure 2 give us only

an idea of how such variables affected the estimated mark-ups

However in general we can say that the positive signs of the estimates mean that the

higher the tightness in these prudential policies the greater the mark-up and consequently

the higher the market power of the FIs Therefore we find a perverse effect on industry

competition and probably a loss of borrowers welfare

Our results are in accordance with the evidence that the increase in prudential rigor has

negative impacts mainly on the supply of credit (Lim et al 2011 Claessens 2015 Aiyar

et al 2014 Gropp et al 2018 Cerutti et al 2017a) Ceteris paribus the increase of IF

mark-ups would be a fully expected effect As highlighted by Claessens amp Laeven (2004) any

policy that restricts the activity of banks and hinders their operation has negative impacts

on market competition

52 Estimation of Lerner indices

Regarding the mark-up estimation the values reported at the bottom of Table 2 corre-

spond to the distance between the observed revenue-cost ratio and its competitive boundary

that is the component u

To interpret the mark-up however we will focus the discussion on the estimates of

Lerner index (equation 21) because they have a more unambiguous economic meaning We

summarize the results of Lerner index for general estimates by type of control and for each

model in Table 3 and the Figure 3 shows their frequency distributions We should emphasize

that these estimates are individuals that is we obtain the estimates for each IF and at each

period t The tables in Annex (A6 to A11) summarizes the estimates of the Lerner index

and the returns to scale for each IF in the sample

Table 3 Estimates of Lerner index general and by type of control

21

Figure 3 Frequency distribution of Lerner indexes for each model and density estimation

Kernel by typeof control

For all six models all mark-up estimates were within the theoretical range of 0 and 1

with the minimum value being 0009 (model 2) and the maximum value 0362 (model 3) In

general the estimated average value was between 0051 (model 2) and 0058 (models 1 and

5) which means that on average Brazilian banks have a mark-up between 51 and 58

These values are slightly different when we separate the estimates by type of control

In the case of state-owned banks the average mark-up was between 0047 (model 2)

and 0057 (model 1) These values are lower in all the estimated models to the values

of (privates) national banks (0052-0057) and foreign banks (0050-0061) However the

medians of estimated values for state-owned banks were higher than the national and foreign

private banks in all models

For comparison purposes these values are considerably lower than the value (016) esti-

mated for Brazil in Coccorese (2014) We believe that this difference is due to the model and

sample used Coccorese (2014) has estimated the dual version of model (equation 5) and

as highlighted by Kumbhakar et al (2012) the use of accounting information to calculate

input prices can generate problems when they are endogenous

Regarding the sample Coccorese (2014) also used a different period from ours (1994 to

2012) and a more significant number of IFs in the sample (189 against 83 used by us) The

main difference here is in the number of IF - 106 in total In this respect it is essential to

note that these FIs constitute small FIs and in the second half of 2014 they held only 37

of total SFN assets and 24 of the total credit portfolio

We tried to replicated the Coccoresersquo sample but in preliminary tests we have found great

difficulties in the models estimations in particular at convergence of likelihood function

We observed these small IFs had in several situations extremely high values for the revenue-

cost ratio or excessively low for the inputs used (personnel expenses and funding) as well

as other problems such as launch errors (positive values in variables of expenditure for

example) and missings For these reasons and considering that such IFs represented only a

22

small fraction of Brazilian credit market we decided to exclude them from the sample

However It is worth highlight as they are small FIs the vast majority operate in particular

segments of the credit market and probably assume a more risk-taking behavior Considering

that they will work with a segment of credit claimants with rdquoworse scoresrdquo than borrowers

using large FIs we expect that the mark-up of these IFs will be higher We can observe

(part of) this phenomenon in Figure 4 where we represent the estimates of the Lerner index

(vertical axis) against market share of total assets (horizontal axis) of our sample and it is

quite evident the smaller banks have the higher mark-ups Therefore as our sample exclude

a large proportion of these small IFs it is natural that Coccorese (2014)rsquo results larger than

ours

Figure 4 Lerner indexes according to the size (market share) of banksrsquo assets

Regardless of this our results seem to adhere well to reality because if we look at Figure

5 we note that the Lerner indices show a significant increase from the second semester of

2008 These results are in agreement with the results of Cubillas amp Suarez (2018) Besides

in Figure 6 Lerner indexes are separated by type of control and we can observe that with

some exceptions the market power has always been lower for state-owned banks especially

considering the period after the GFC

Figure 5 Average Lerner indices for each model between 2000q2 and 2014q4

Figure 6 Average Lerner indices estimated for public private national and private

foreign banks between2000q2 and 2014q4

23

53 Estimation of Returns to Scale

Finally Table 4 and Figure 7 summarize the estimates of returns to scale We highlight

that the average of the returns to the scale of the Brazilian FIs is very close if we comparer

the six estimated models (between 0848 and 0851) Although the values are close to unity

in all IFs we reject the hypotheses of constant returns to the scale that is RTS = 1 therefore

IFs have diseconomies of scale

Table 4 Estimates of returns to scale by control type and general

When we separate estimates by type of control the estimates of state-owned banks

(0937-0944) are higher than national (0824-0829) and foreign banks (0841-0844) This

result means that the scale problem is a problem common to all FIs in Brazil Moreover

state-owned banks runs closer to the constant return region than national and foreign banks

Figure 7 Frequency distribution of the returns to scale indexes for each model and

density estimationKernel by type of control

6 Final Considerations

Considering that the banking industry underwent a significant restructuring in recent

years caused by several mergers and acquisitions in the sector as well as by a severe financial

crisis started in mid 2007 and potentialized in 2008 understand the behavior of market

power and as a (partial) set of prudential instruments influencing this dynamic has become

paramount Thus in an innovative way this paper proposed the use of stochastic frontier

analysis techniques to measure market power for the Brazilian banking industry and to test

if such prudential measures had an impact on the competitive dynamics of sector

The estimated average Lerner index was between 51 and 58 for Brazilian FIs How-

ever when controlled by the type of control we find that state-owned banks have slightly

24

lower estimates than national and foreign banks respectively Also estimates of returns to

scale allow us to infer that FIs operate with diseconomies of scale

Concerning the impact of prudential measures on the market power of FIs our results

generally suggest that tightening of prudential measures have a positive impact on bank

mark-up and consequently have detrimental effects on competition in industry banking

Finally in future research it will be possible to better understand the influence of some

prudential measures in the banking market through the study by type of segment or line of

credit

25

References

Aiyar S Calomiris C W amp Wieladek T (2014) Does macro-prudential regulation leak ev-

idence from a uk policy experiment Journal of Money Credit and Banking 46 181ndash214

URL httpsonlinelibrarywileycomdoiabs101111jmcb12086 doi101111jmcb12086

arXivhttpsonlinelibrarywileycomdoipdf101111jmcb12086

Altunbas Y Binici M amp Gambacorta L (2018) Macroprudential policy and bank risk Journal of

International Money and Finance 81 203ndash220 doihttpsdoiorg101016jjimonfin201711

012

Araujo L A D d amp Jorge Neto P d M (2007) Risco e competicao bancaria no Brasil Revista Brasileira

de Economia 61 175ndash200 URL httpwwwscielobrscielophpscript=sci_abstractamppid=

S0034-71402007000200003amplng=enampnrm=isoamptlng=pt doi101590S0034-71402007000200003

Auer R amp Ongena S (2019) The countercyclical capital buffer and the composition of bank lending

Available at SSRN 3345189

Ayyagari M Beck T amp Peria M (2018) The micro impact of macroprudential policies Firm-level

evidence IMF Working Paper

Barbosa K de Paula Rocha B amp Salazar F (2015) Assessing competition in the banking indus-

try A multi-product approach Journal of Banking amp Finance 50 340ndash362 URL httpwww

sciencedirectcomsciencearticlepiiS0378426614001642 doi101016jjbankfin201405

003

Belaisch A (2003) Do Brazilian Banks Compete SSRN Scholarly Paper ID 879189 Social Science Research

Network Rochester NY URL httpspapersssrncomabstract=879189

Bikker J A Shaffer S amp Spierdijk L K (2012) Assessing competition with the panzar-rosse model

The role of scale costs and equilibrium Economics Letters 94 1025ndash1044

Bresnahan T F (1982) The oligopoly solution concept is identified Economics Letters 10 87ndash92 URL

httpdxdoiorg1010160165-1765(82)90121-5 doi1010160165-1765(82)90121-5

Bresnahan T F amp Reiss P (1991) Entry and competition in concentrated markets Journal of Political

Economy 99 977ndash1009

Camors C amp Peydro J (2014) Macroprudential and monetary policy Loan-level evidence from reserve

requirement Mimeo Universitat Pompeu Fabra URL httpspdfssemanticscholarorgd508

61639bb4e7453a7a39184edf9b0c1e7016a6pdf

Cardoso M Azevedo P F amp Barbosa K (2016) Concorrencia no setor bancario brasileiro bancos

individuais versus conglomerados bancarios (pp 113ndash146) URL httprepositorioipeagovbr

handle110586650

Cerutti E Claessens S amp Laeven L (2017a) The use and effectiveness of macroprudential policies New

26

evidence Journal of Financial Stability 28 203ndash224 doihttpsdoiorg101016jjfs201510

004

Cerutti E Correa R Fiorentino E amp Segalla E (2016) Changes in prudential policy instruments ndash a

new cross-country database IMF Working Paper WP1610

Cerutti E Dagher J amp DellrsquoAriccia G (2017b) Housing finance and real-estate booms A cross-country

perspective Journal of Housing Economics 38 1ndash13

Claessens S (2015) An overview of macroprudential policy tools Annual Re-

view of Financial Economics 7 397ndash422 URL httpsdoiorg101146

annurev-financial-111914-041807 doi101146annurev-financial-111914-041807

arXivhttpsdoiorg101146annurev-financial-111914-041807

Claessens S Ghosh S R amp Mihet R (2013) Macro-prudential policies to mitigate financial system

vulnerabilities Journal of International Money and Finance 39 153ndash185 doihttpsdoiorg10

1016jjimonfin201306023

Claessens S amp Laeven L (2004) What drives bank competition some international evidence Journal

of Money Credit and Banking 36 563ndash583 URL httpwwwjstororgstable3838954

Coccorese P (2014) Estimating the Lerner index for the banking industry a stochastic frontier approach

Applied Financial Economics 24 73ndash88 URL httpdxdoiorg101080096031072013866202

doi101080096031072013866202

Coelho C A De Mello J M amp Rezende L (2013) Do Public Banks Compete with Private

Banks Evidence from Concentrated Local Markets in Brazil Journal of Money Credit and Bank-

ing 45 1581ndash1615 URL httponlinelibrarywileycomdoi101111jmcb12063abstract

doi101111jmcb12063

Cubillas E amp Suarez N (2018) Bank market power and lending during the global financial crisis Jour-

nal of International Money and Finance 89 1ndash22 URL httpwwwsciencedirectcomscience

articlepiiS0261560618303048 doihttpsdoiorg101016jjimonfin201808003

Das A amp Kumbhakar S C (2016) Markup and efficiency of Indian banks an input distance func-

tion approach Empirical Economics (pp 1ndash31) URL httplinkspringercomarticle101007

s00181-015-1062-4 doi101007s00181-015-1062-4

Ely R Tabak B amp Teixeira A (2019) Heterogeneous effects of the implementation of macroprudential

policies on bank risk MPRA Paper No94546

Freixas X Laeven L amp Peydro J-L (2015) Systemic Risk Crises and Macroprudential Regulation

Mit Press URL httpwwwjstororgstablejctt17kk82g

Galati G amp Moessner R (2013) Macroprudential policy ndash a literature review Jour-

nal of Economic Surveys 27 846ndash878 URL httpsonlinelibrarywileycom

27

doiabs101111j1467-6419201200729x doi101111j1467-6419201200729x

arXivhttpsonlinelibrarywileycomdoipdf101111j1467-6419201200729x

Gropp R Mosk T Ongena S amp Wix C (2018) Banks Response to Higher Cap-

ital Requirements Evidence from a Quasi-Natural Experiment The Review of Finan-

cial Studies 32 266ndash299 URL httpsdoiorg101093rfshhy052 doi101093rfshhy052

arXivhttpoupprodsislanrfsarticle-pdf32126627185080hhy052pdf

Hyde C E amp Perloff J M (1995) Can market power be estimated Review of Industrial Organization 10

465ndash485 URL httplinkspringercomarticle101007BF01024231 doi101007BF01024231

Igan D amp Kang H (2011) Do loan-to-value and debt-to-income limits work evidence from korea IMF

Working Papers (pp 1ndash34)

Jimenez G Ongena S Peydro J-L amp Saurina J (2017) Macroprudential policy countercyclical bank

capital buffers and credit supply Evidence from the spanish dynamic provisioning experiments Journal

of Political Economy 125 2126ndash2177 URL httpsdoiorg101086694289 doi101086694289

arXivhttpsdoiorg101086694289

Jondrow J Knox Lovell C A Materov I S amp Schmidt P (1982) On the estimation of technical

inefficiency in the stochastic frontier production function model Journal of Econometrics 19 233ndash

238 URL httpwwwsciencedirectcomsciencearticlepii0304407682900045 doi101016

0304-4076(82)90004-5

Klingelhoger J amp Sun R (2019) Macruprudential policy central banks and financial stability Evidence

from china Journal of International Money and Finance 93 19ndash41 URL httpsdoiorg101016

jjimonfin201812015

Kumbhakar S C (2012) Specification and estimation of primal production models European Journal

of Operational Research 217 509ndash518 URL httpwwwsciencedirectcomsciencearticlepii

S0377221711008939 doi101016jejor201109043

Kumbhakar S C Baardsen S amp Lien G (2012) A New Method for Estimating Market Power with

an Application to Norwegian Sawmilling Review of Industrial Organization 40 109ndash129 URL http

linkspringercomarticle101007s11151-012-9339-7 doi101007s11151-012-9339-7

Lerner A P (1934) The Concept of Monopoly and the Measurement of Monopoly Power The Review

of Economic Studies 1 157ndash175 URL httprestudoxfordjournalsorglookupdoi102307

2967480 doi1023072967480

Lim C H Costa A Columba F Kongsamut P Otani A Saiyid M Wezel T amp Wu X (2011)

Macroprudential policy what instruments and how to use them lessons from country experiences IMF

working papers (pp 1ndash85)

Lopez R A He X amp Azzam A (2018) Stochastic frontier estimation of market

28

power in the food industries Journal of Agricultural Economics 69 3ndash17 URL https

onlinelibrarywileycomdoiabs1011111477-955212219 doi1011111477-955212219

arXivhttpsonlinelibrarywileycomdoipdf1011111477-955212219

Lucinda C R (2010) Competition in the Brazilian loan market an empirical analysis Estudos Economicos

(Sao Paulo) 40 831ndash858 URL httpwwwscielobrscielophpscript=sci_abstractamppid=

S0101-41612010000400004amplng=enampnrm=isoamptlng=en doi101590S0101-41612010000400004

Moreno R (2011) Policymaking from arsquomacroprudentialrsquoperspective in emerging market economies

Nakane M I (2002) A test of competition in brazilian banking Estudos Economicos (Sao Paulo) 32

203ndash224 URL httpwwwrevistasuspbreearticleview117799

Panzar J C amp Rosse J N (1987) Testing for rdquomonopolyrdquo equilibrium The Journal of Industrial

Economics 35 443ndash456 URL httpwwwjstororgstable2098582 doi1023072098582

Richter B Schularick M amp Shim I (2019) The costs of macroprudential policy Journal of Inter-

national Economics 118 263 ndash 282 URL httpwwwsciencedirectcomsciencearticlepii

S0022199618302617 doihttpsdoiorg101016jjinteco201811011

Schmalensee R (1989) Chapter 16 inter-industry studies of structure and performance In Hand-

book of Industrial Organization (pp 951ndash1009) Elsevier BV URL httpdxdoiorg101016

s1573-448x(89)02004-2 doi101016s1573-448x(89)02004-2

Silva M S d () Avaliacao do processo de concentracao-competicao no setor bancario brasileiro URL

httpwwwbcbgovbrpecwpsporttd377pdf

Tabak B amp Gomes G (2015) The impact of market power at bank level in risk-taking The brazilian

case International Review of Financial Analysis 40 154ndash165

Tabak B M Fazio D M amp Cajueiro D O (2012) The relationship between banking market competition

and risk-taking Do size and capitalization matter 36 3366ndash3381 URL httpwwwsciencedirect

comsciencearticlepiiS0378426612002026 doi101016jjbankfin201207022

Wong T Fong T Li K-f amp Choi H (2011) Loan-to-value ratio as a macroprudential tool-hong kongrsquos

experience and cross-country evidence

Zhang L amp Zoli E (2016) Leaning against the wind Macroprudential policy in asia Journal of Asian

Economics 42 33ndash52

29

Figure 1 Evolution of the Herfindahl Index (HHI) over time using credit and total assets for theBrazilian banking system

30

Figure 2 Marginal effects of HHI and prudential instruments (Capital Buffer Capital RequirementLTV Reserve Requirement (Foreign) Reserve Requirement (domestic) and cumulative prud) on the

mark-up u component

31

Figure 3 Frequency distribution of Lerner indexes for each model and density estimation Kernel by typeof control

32

Figure 4 Lerner indexes according to the size (market share) of banksrsquo assets

33

Figure 5 Average Lerner indices for each model between 2000q2 and 2014q4

34

Figure 6 Average Lerner indices estimated for public private national and private foreign banks between2000q2 and 2014q4

35

Figure 7 Frequency distribution of the returns to scale indexes for each model and density estimationKernel by type of control

36

Table 1 Variables used to IDF estimatation

Variabel Description SourceBasic variables

TR Total Revenue = Gross Insterest Income (a) + Bank-ing Service Fee Income (d1) + Banking Fee Income(d2) + Other Operating Income (d7)

Inc statIFData

TC Total Cost = Interest Expenses (b) + Personnel Ex-penses (d3) + Administrative Expenses (d4) + TaxExpenses (d5) + Other Operating Expenses (d8)

Inc statIFData

Y Loan Lease and Other Credit Operations by RiskLevel

SummaryIFData

x1 Personnel Expenses (d3) Inc statIFDatax2 Funding (e) LiabilitiesIFDatax3 Equity (j) LiabilitiesIFData

Model variabelslnRC Log of Revenue-Cost ratiolnY Log of total loanlnx1 Log of personnel expenses and equity ratio (x1x3)lnx2 Log of funding and equity ratio (x2x3)T Time

Prudential variables - Deterministic mark-up parametersHHIt HHIt =

sumS2it where Sit

2 is market share of totalasset of bank i on time t

Inc statIFData

cb cumulative change of capital buffer Cerutti et al (2016)cr cumulative change of capital requirement Cerutti et al (2016)ltv cumulative change of loan-to-value Cerutti et al (2016)

rr foreign cumulative change of reserve requirement (foreigncurrency)

Cerutti et al (2016)

rr local cumulative change of reserve requirement (domesticcurrency)

Cerutti et al (2016)

37

Table 2 Results of IDF estimation

Parameters VariablesEstimates

Model Model Model Model Model Model(1) (2) (3) (4) (5) (6)

Parametros da funcao insumo distanciaαY Y lnY -0013 -0003 -0004 -0012 -0011 -0005

(000) (000) (000) (000) (000) (000)α1Y lnx1 -0096 -0095 -0094 -0094 -0096 -0090

(001) (001) (001) (001) (001) (001)α2Y lnx2 -0019 -0022 -0022 -0019 -0020 -0021

(001) (001) (001) (001) (001) (001)αY T T -0000 -0000 -0000 -0000 -0000 -0000

(000) (000) (000) (000) (000) (000)αY const 1153 1010 1035 1134 1129 1057

(005) (007) (005) (005) (005) (006)

Deterministic Mark-up parametersδ1 HHI 764157

(12270)δ1 Capital

Buffer7586(065)

δ2 CapitalReq

4696(160)

δ1 Loan-to-value38511(671)

δ1 ResR(foreign)10730(433)

δ2 ResR(local)2869(126)

δ1 Cum Prud3237(020)

δ0 const minus10601minus10194minus5306 minus9866 minus8577 minus4993(032) (2064) (316) (079) (119) (122)

Distribution of u and vσ2u 2840 1418 1620 2643 2441 1593σ2v 0118 0121 0120 0118 0118 0120λ 2402 1172 1354 2233 2065 1325Log Lik 887404 922033 918606 896019 891991 907817

EstimatesEstimates of Mark-up (u)Avg 0075 0065 0068 0074 0075 00691st quartile 0052 0038 0051 0051 0051 0044Median 0062 0048 0060 0060 0061 00543st quartile 0080 0074 0079 0079 0079 0075std-dev 0053 0054 0053 0053 0054 0054

Note p lt 010 p lt 005 and p lt 001

38

Table 3 Estimates of Lerner index general and by type of control

EstimatesModel Model Model Model Model Model

(1) (2) (3) (4) (5) (6)Mark-up (L) generalAverage 0058 0051 0053 0057 0058 0053std-dev 0032 0034 0034 0032 0032 00331st quartile 0043 0031 0034 0041 0042 0036Median 0051 0039 0044 0050 0050 00453st quartile 0063 0060 0059 0063 0063 0060Mark-up (L) State-owned banksAverage 0057 0047 0049 0056 0056 0050std-dev 0018 0017 0017 0018 0016 00161st quartile 0047 0035 0038 0045 0046 0040Median 0054 0041 0046 0053 0053 00463st quartile 0064 0056 0056 0064 0063 0057Mark-up (L) National banksAverage 0057 0052 0054 0057 0057 0054std-dev 0034 0038 0038 0035 0035 00371st quartile 0041 0030 0033 0040 0041 0035Median 0050 0038 0043 0048 0049 00443st quartile 0061 0061 0060 0061 0062 0060Mark-up (L) Foreign banksAverage 0061 0050 0053 0059 0060 0054std-dev 0034 0033 0032 0034 0034 00321st quartile 0042 0031 0034 0041 0042 0036Median 0052 0040 0044 0051 0051 00453st quartile 0068 0059 0060 0066 0066 0061

Table 4 Estimates of returns to scale by control type and general

ModelState-owned

banksNational

banksForeignbanks

General std-dev Min Max

1 0944 0824 0842 0848 0073 0665 11242 0940 0829 0843 0851 0066 0690 10733 0938 0827 0842 0849 0066 0689 10764 0941 0824 0842 0848 0071 0671 11115 0942 0824 0841 0848 0072 0669 11136 0937 0829 0844 0850 0065 0692 1073

39

Appendix A Attachment Tables

Table A5 Cumulative change on Prudential Measures intensity

TimeCapitalBuffer 2

(cb)

CapitalReq(cr)

Loan-to-Value(ltv)

Reserve Reqlocal curr

(RR local)

Reserve Reqforeign cur

(RR foreign)

CumulativePrudential 3

(Cum Prud)2000q2 -1 0 0 0 -2 -32000q4 -1 0 0 0 -2 -32001q2 -1 0 0 0 -2 -32001q4 0 0 0 0 -1 -12002q2 0 0 0 0 0 02002q4 2 0 0 0 2 42003q2 0 0 0 0 3 32003q4 0 0 0 0 2 22004q2 0 0 0 0 2 22004q4 0 0 0 0 2 22005q2 0 0 0 0 2 22005q4 0 0 0 0 2 22006q2 0 0 0 0 2 22006q4 0 0 0 0 2 22007q2 2 0 0 0 2 42007q4 2 0 0 0 2 42008q2 2 0 0 0 2 42008q4 2 0 0 0 1 32009q2 2 0 0 0 0 22009q4 2 0 0 0 -1 12010q2 2 0 0 0 1 32010q4 3 0 0 0 3 62011q2 3 0 0 1 3 72011q4 4 0 0 2 3 92012q2 3 1 0 2 3 92012q4 3 1 0 1 2 72013q2 3 2 0 0 2 72013q4 3 2 1 0 2 82014q2 3 2 1 0 2 82014q4 2 2 1 0 3 82Sum of capital buffer and others 3Aggregate measure (It is the sum of the change of all other instrument)

40

Table A6 Estimates of Lerner index and return to scale by bank - Model (1)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0042 0082 0009 0940 0007 -85Banrisul S 0055 0041 0084 0009 0952 0008 -635BEC S 0048 0021 0077 0016 0844 0009 -1756BRB S 0058 0033 0100 0015 0961 0003 -1533BB S 0058 0039 0098 0012 0990 0006 -173Caixa Economica Federal S 0063 0051 0174 0022 1052 0004 1458B da Amazonia SA S 0057 0016 0124 0023 0844 0008 -2028B do Estado Do Para SA S 0061 0026 0110 0022 0936 0004 -1764B do Est do Maranhao SA S 0055 0046 0065 0006 0935 0014 -455B do Est do Piauı SA - Bep S 0057 0030 0155 0029 0862 0004 -326B do Estado De Sergipe SA S 0061 0024 0135 0022 0947 0004 -1453Nossa Caixa - N Banco SA S 0057 0036 0090 0013 0981 0004 -444Bradesco N 0056 0038 0114 0015 0925 0004 -1945Itau N 0059 0031 0220 0033 0901 0003 -3797Safra N 0053 0037 0085 0009 0885 0003 -4215Unibanco N 0055 0037 0088 0014 0897 0001 -7054Mercantil Do Brasil N 0057 0027 0077 0011 0945 0002 -2527BBM N 0076 0016 0300 0065 0783 0005 -4464BMC N 0052 0030 0079 0012 0845 0003 -4703BMG N 0065 0017 0208 0045 0779 0003 -729JMalucelli N 0047 0022 0069 0013 0718 0003 -8765PEBB N 0065 0017 0181 0047 0698 0008 -3914SS N 0057 0034 0220 0037 0799 0007 -2839Sofisa N 0054 0021 0092 0020 0804 0002 -9903BIC N 0060 0034 0236 0040 0855 0005 -276Schahin N 0056 0028 0214 0035 0835 0006 -262Stock N 0081 0020 0267 0067 0817 0006 -3107Pine N 0052 0022 0108 0019 0808 0004 -545Socopa N 0056 0027 0120 0017 0886 0003 -3806Intercap N 0060 0023 0212 0037 0812 0007 -2851Indusval N 0062 0030 0246 0043 0857 0005 -3139Bonsucesso N 0052 0020 0092 0018 0779 0005 -4033Industrial do Brasil N 0051 0031 0081 0016 0807 0002 -952Votorantim N 0052 0037 0107 0017 0819 0009 -2117Cacique N 0053 0024 0071 0014 0774 0005 -4621Inter Amex N 0055 0037 0068 0010 0837 0008 -2158Alfa N 0048 0041 0059 0005 0806 0002 -11303Rendimento N 0053 0022 0080 0012 0872 0008 -1562Bancoob N 0052 0046 0056 0003 0856 0003 -5061Original N 0085 0017 0279 0090 0729 0007 -4163Banco Intermedium SA N 0052 0028 0070 0015 0743 0006 -3973

Table A6 ndash Continue on next page

41

Table A6 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0225 0049 0761 0003 -7509Banco BBN SA N 0053 0027 0077 0014 0817 0012 -1509B Cooperativo Sicredi SA N 0052 0043 0062 0005 0875 0005 -2477B Cooperativo do Brasil SA N 0056 0046 0142 0020 0910 0006 -1479Banco Topazio SA N 0060 0035 0110 0027 0834 0006 -2966Banco Gerador SA N 0069 0045 0122 0028 0852 0008 -1968Banco Randon SA N 0109 0023 0320 0109 0783 0005 -4158Parana Banco SA N 0050 0026 0108 0020 0784 0008 -2799Banco Triangulo SA N 0055 0028 0091 0020 0833 0004 -4201Banco Guanabara SA N 0052 0024 0169 0025 0777 0004 -5588Banco Cedula SA N 0068 0012 0339 0061 0731 0003 -10236Banco Cacique SA N 0077 0028 0248 0077 0785 0016 -1309B Luso Brasileiro SA N 0065 0027 0208 0043 0849 0004 -349Banco Pecunia SA N 0047 0039 0060 0006 0770 0003 -7086Banco Zogbi SA N 0051 0038 0067 0011 0778 0001 -15193Banco Daycoval SA N 0054 0023 0131 0026 0783 0004 -5522B John Deere SA N 0059 0018 0133 0033 0756 0003 -7955Banco AJ Renner SA N 0053 0025 0081 0015 0827 0006 -2742ABN Amro F 0056 0039 0079 0014 0914 0002 -427Chase F 0068 0014 0228 0049 0790 0008 -2678LLoyds F 0053 0027 0064 0012 0825 0003 -5159BankBoston F 0057 0040 0099 0020 0902 0006 -1638Santander Brasil F 0057 0034 0097 0017 0890 0008 -146Citibank F 0059 0026 0153 0028 0875 0003 -4039BNL F 0055 0041 0097 0019 0840 0006 -2767Sudameris F 0056 0048 0065 0005 0966 0012 -297Societe Generale F 0060 0024 0153 0031 0826 0006 -299Europeu F 0054 0032 0073 0013 0848 0007 -2287ABC-Brasil F 0052 0025 0082 0014 0815 0003 -6207Dresdner F 0083 0017 0280 0074 0815 0006 -3234AGF Braseg F 0051 0031 0100 0016 0794 0004 -4923HSBC F 0057 0046 0092 0010 0971 0006 -466Deutsche F 0068 0013 0160 0036 0857 0004 -3335BNP Paribas F 0050 0037 0068 0007 0824 0005 -3665Barclays F 0052 0024 0089 0021 0771 0008 -2787Rabobank Int Brasil SA F 0058 0022 0166 0028 0842 0003 -5284B Nat de Paris Br SA F 0063 0023 0109 0033 0811 0006 -3331Ibibank SA - Banco Multiplo F 0059 0012 0106 0024 0781 0015 -1441Dresdner Bank - B Multiplo F 0086 0016 0244 0068 0768 0008 -2746Banco Westlb Do Brasil SA F 0064 0034 0108 0027 0839 0010 -1626Banco GE Capital SA F 0067 0032 0247 0047 0852 0010 -1527B Com Uruguai SA F 0072 0020 0192 0049 0830 0003 -52281S - State-owned bank N - National bank and F - Foreign bank

42

Table A7 Estimates of Lerner index and return to scale by bank - Model (2)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0049 0032 0085 0016 0944 0008 -716Banrisul S 0049 0032 0106 0017 0939 0008 -75BEC S 0032 0016 0046 0008 0860 0009 -1489BRB S 0049 0030 0112 0017 0961 0002 -1681BB S 0049 0032 0091 0016 0948 0006 -845Caixa Economica Federal S 0052 0034 0081 0014 1012 0003 382B da Amazonia SA S 0053 0015 0140 0028 0847 0008 -1922B do Estado Do Para SA S 0046 0029 0063 0009 0952 0005 -963B do Est do Maranhao SA S 0036 0029 0045 0005 0963 0016 -235B do Est do Piauı SA - Bep S 0036 0023 0071 0011 0888 0005 -2314B do Estado De Sergipe SA S 0050 0020 0155 0024 0962 0004 -1043Nossa Caixa - N Banco SA S 0039 0027 0074 0011 0972 0005 -601Bradesco N 0050 0028 0116 0023 0890 0004 -2618Itau N 0052 0024 0222 0037 0869 0003 -4269Safra N 0046 0028 0100 0017 0867 0003 -5042Unibanco N 0035 0028 0054 0007 0873 0001 -8511Mercantil Do Brasil N 0051 0029 0093 0019 0941 0002 -2837BBM N 0063 0012 0213 0048 0790 0005 -4494BMC N 0034 0023 0049 0007 0851 0003 -4266BMG N 0065 0015 0233 0057 0776 0004 -6135JMalucelli N 0052 0018 0080 0016 0720 0003 -9566PEBB N 0037 0014 0108 0025 0732 0009 -3086SS N 0056 0024 0236 0046 0797 0007 -2849Sofisa N 0052 0018 0107 0028 0808 0002 -8115BIC N 0057 0026 0259 0050 0850 0006 -2531Schahin N 0047 0022 0225 0041 0845 0007 -2359Stock N 0078 0017 0287 0071 0843 0006 -2782Pine N 0048 0018 0114 0023 0811 0004 -4973Socopa N 0050 0022 0136 0024 0908 0003 -3089Intercap N 0051 0019 0133 0031 0832 0006 -2759Indusval N 0061 0023 0267 0052 0866 0006 -2437Bonsucesso N 0050 0017 0109 0026 0791 0006 -3655Industrial do Brasil N 0044 0024 0079 0015 0816 0002 -8095Votorantim N 0048 0025 0120 0026 0807 0007 -2721Cacique N 0033 0020 0039 0006 0782 0005 -4597Inter Amex N 0035 0025 0045 0007 0844 0006 -2419Alfa N 0042 0029 0069 0013 0801 0002 -12139Rendimento N 0049 0019 0077 0015 0889 0008 -1394Bancoob N 0065 0057 0073 0006 0855 0003 -4199Original N 0099 0019 0299 0096 0732 0006 -4473Banco Intermedium SA N 0062 0032 0081 0019 0754 0006 -4393

Table A7 ndash Continue on next page

43

Table A7 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0059 0016 0239 0051 0778 0003 -6944Banco BBN SA N 0035 0020 0053 0009 0834 0011 -1466B Cooperativo Sicredi SA N 0045 0032 0070 0011 0881 0005 -2581B Cooperativo do Brasil SA N 0045 0029 0147 0025 0922 0006 -1274Banco Topazio SA N 0076 0043 0138 0038 0861 0005 -2569Banco Gerador SA N 0089 0054 0153 0037 0874 0008 -1645Banco Randon SA N 0122 0029 0335 0113 0803 0005 -388Parana Banco SA N 0033 0020 0062 0011 0800 0009 -234Banco Triangulo SA N 0052 0022 0105 0027 0841 0004 -4148Banco Guanabara SA N 0046 0019 0091 0020 0793 0004 -5561Banco Cedula SA N 0062 0011 0359 0067 0749 0003 -9911Banco Cacique SA N 0049 0020 0157 0048 0791 0016 -1315Banco Luso Brasileiro SA N 0066 0022 0241 0055 0870 0005 -2851Banco Pecunia SA N 0032 0027 0036 0003 0787 0003 -6876Banco Zogbi SA N 0032 0026 0037 0005 0784 0002 -13006Banco Daycoval SA N 0053 0019 0139 0036 0784 0004 -6065Banco John Deere SA N 0035 0016 0073 0016 0761 0003 -8278Banco AJ Renner SA N 0047 0021 0083 0015 0844 0006 -2553ABN Amro F 0035 0027 0047 0006 0889 0002 -7231Chase F 0054 0013 0157 0033 0804 0007 -2702LLoyds F 0033 0020 0043 0008 0821 0003 -5429BankBoston F 0036 0026 0060 0011 0888 0006 -1917Santander Brasil F 0055 0025 0115 0030 0864 0008 -1647Citibank F 0051 0020 0132 0025 0860 0003 -4735BNL F 0036 0026 0062 0012 0843 0005 -2959Sudameris F 0036 0031 0040 0004 0949 0011 -468Societe Generale F 0051 0018 0104 0024 0835 0007 -2454Europeu F 0034 0025 0041 0006 0859 0007 -2076ABC-Brasil F 0043 0026 0086 0015 0813 0003 -5797Dresdner F 0050 0014 0190 0046 0824 0004 -3975AGF Braseg F 0044 0024 0068 0014 0810 0005 -4109HSBC F 0052 0031 0110 0021 0948 0007 -776Deutsche F 0054 0012 0166 0030 0866 0005 -2754BNP Paribas F 0049 0028 0073 0013 0818 0004 -4092Barclays F 0065 0028 0121 0027 0811 0005 -4028Rabobank Int Brasil SA F 0047 0017 0102 0017 0845 0003 -4605B Nat de Paris Brasil SA F 0036 0017 0054 0013 0819 0005 -3304Ibibank SA - Banco Multiplo F 0043 0010 0114 0025 0782 0013 -1623Dresdner Bank - B Multiplo F 0096 0015 0270 0076 0785 0007 -2924Banco Westlb Do Brasil SA F 0041 0026 0062 0013 0853 0010 -154Banco GE Capital SA F 0054 0026 0253 0049 0862 0010 -1444B Com Uruguai SA F 0070 0017 0220 0058 0849 0003 -4471S - State-owned bank N - National bank and F - Foreign bank

44

Table A8 Estimates of Lerner index and return to scale by bank - Model (3)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0034 0090 0016 0941 0008 -772Banrisul S 0051 0032 0108 0016 0938 0008 -772BEC S 0035 0018 0051 0009 0856 0009 -1562BRB S 0052 0032 0122 0018 0958 0002 -1793BB S 0052 0035 0085 0015 0951 0006 -809Caixa Economica Federal S 0054 0039 0098 0014 1015 0003 465B da Amazonia SA S 0053 0014 0113 0024 0845 0008 -1977B do Estado Do Para SA S 0049 0028 0071 0010 0947 0005 -1117B do E do Maranhao SA S 0041 0032 0059 0008 0957 0015 -285B do E do Piauı SA - Bep S 0041 0028 0086 0014 0882 0005 -2518B do Estado De Sergipe SA S 0052 0021 0145 0022 0957 0004 -1182Nossa Caixa - N Banco SA S 0045 0029 0081 0015 0971 0005 -651Bradesco N 0052 0029 0101 0021 0893 0004 -2614Itau N 0054 0025 0203 0034 0872 0003 -4328Safra N 0048 0029 0093 0015 0869 0003 -5008Unibanco N 0041 0028 0067 0010 0874 0001 -8514Mercantil Do Brasil N 0053 0026 0095 0018 0939 0002 -29BBM N 0067 0013 0250 0056 0789 0005 -4501BMC N 0038 0024 0069 0010 0849 0003 -4408BMG N 0067 0015 0233 0058 0776 0004 -6374JMalucelli N 0052 0022 0087 0016 0720 0003 -9426PEBB N 0045 0014 0158 0040 0727 0009 -3192SS N 0057 0025 0231 0046 0797 0007 -287Sofisa N 0053 0018 0116 0026 0807 0002 -8444BIC N 0059 0030 0250 0049 0850 0006 -2596Schahin N 0048 0023 0220 0038 0842 0007 -2424Stock N 0083 0017 0304 0077 0838 0006 -2873Pine N 0049 0019 0105 0020 0810 0004 -5103Socopa N 0050 0026 0111 0018 0903 0003 -3253Intercap N 0055 0020 0196 0036 0828 0006 -283Indusval N 0062 0029 0282 0052 0863 0005 -2588Bonsucesso N 0051 0017 0118 0025 0789 0006 -3771Industrial do Brasil N 0046 0025 0086 0015 0815 0002 -8341Votorantim N 0050 0027 0128 0027 0809 0007 -2664Cacique N 0037 0020 0048 0009 0781 0005 -4645Inter Amex N 0039 0026 0058 0009 0842 0006 -2468Alfa N 0044 0031 0072 0011 0801 0002 -11998Rendimento N 0049 0022 0078 0011 0885 0008 -1463Bancoob N 0066 0057 0077 0007 0854 0003 -4342Original N 0102 0019 0301 0096 0730 0006 -4526Banco Intermedium SA N 0059 0027 0083 0020 0752 0006 -4354

Table A8 ndash Continue on next page

45

Table A8 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0017 0217 0054 0776 0003 -7084Banco BBN SA N 0038 0022 0058 0010 0831 0011 -1492B Cooperativo Sicredi SA N 0047 0035 0071 0010 0879 0005 -259B Cooperativo do Brasil SA N 0046 0035 0128 0020 0919 0006 -1339Banco Topazio SA N 0075 0036 0153 0041 0855 0005 -2657Banco Gerador SA N 0091 0057 0144 0034 0869 0008 -173Banco Randon SA N 0124 0029 0332 0112 0799 0005 -4023Parana Banco SA N 0036 0021 0071 0012 0797 0008 -2452Banco Triangulo SA N 0053 0023 0115 0027 0839 0004 -4256Banco Guanabara SA N 0047 0020 0100 0019 0790 0004 -561Banco Cedula SA N 0066 0012 0362 0068 0747 0003 -10082Banco Cacique SA N 0063 0026 0231 0074 0789 0016 -1336Banco Luso Brasileiro SA N 0066 0026 0249 0053 0865 0005 -2985Banco Pecunia SA N 0034 0029 0041 0004 0784 0003 -7038Banco Zogbi SA N 0036 0027 0046 0006 0782 0002 -13399Banco Daycoval SA N 0054 0019 0131 0034 0784 0004 -607Banco John Deere SA N 0039 0015 0083 0018 0761 0003 -8316Banco AJ Renner SA N 0049 0024 0073 0013 0840 0006 -2621ABN Amro F 0041 0030 0066 0009 0890 0002 -6866Chase F 0059 0013 0173 0039 0801 0007 -2733LLoyds F 0038 0021 0055 0010 0821 0003 -5484BankBoston F 0040 0028 0063 0012 0888 0006 -1931Santander Brasil F 0056 0028 0107 0027 0866 0008 -1663Citibank F 0052 0022 0123 0023 0860 0003 -4735BNL F 0039 0028 0063 0014 0841 0005 -2966Sudameris F 0041 0036 0052 0006 0948 0011 -473Societe Generale F 0052 0020 0103 0022 0833 0006 -2579Europeu F 0038 0030 0049 0007 0856 0007 -2153ABC-Brasil F 0046 0029 0079 0014 0813 0003 -5935Dresdner F 0055 0014 0212 0052 0822 0005 -3913AGF Braseg F 0046 0027 0071 0014 0806 0005 -4276HSBC F 0053 0032 0101 0019 0949 0007 -784Deutsche F 0058 0013 0141 0029 0863 0005 -2878BNP Paribas F 0051 0030 0074 0012 0818 0004 -4118Barclays F 0066 0025 0130 0030 0805 0005 -4123Rabobank Int Brasil SA F 0049 0019 0109 0018 0844 0003 -4752B Nat de Paris Brasil SA F 0041 0019 0069 0018 0817 0005 -3368Ibibank SA - Banco Multiplo F 0046 0010 0095 0021 0781 0014 -1617Dresdner Bank - B Multiplo F 0093 0017 0282 0072 0782 0008 -2899Banco Westlb Do Brasil SA F 0044 0027 0069 0015 0850 0009 -1591Banco GE Capital SA F 0055 0026 0249 0046 0859 0009 -1489B Com Uruguai SA F 0071 0017 0228 0056 0845 0003 -46241S - State-owned bank N - National bank and F - Foreign bank

46

Table A9 Estimates of Lerner index and return to scale by bank - Model (4)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0054 0041 0078 0011 0939 0007 -873Banrisul S 0055 0040 0106 0014 0948 0008 -692BEC S 0046 0020 0072 0014 0846 0009 -1746BRB S 0057 0032 0094 0016 0959 0002 -1673BB S 0057 0038 0095 0014 0981 0006 -33Caixa Economica Federal S 0061 0049 0165 0021 1042 0003 1249B da Amazonia SA S 0056 0015 0117 0022 0844 0008 -2047B do Estado Do Para SA S 0059 0025 0103 0020 0936 0004 -1701B do E Do Maranhao SA S 0052 0044 0062 0005 0936 0014 -448B do E Do Piauı SA - Bep S 0054 0029 0147 0028 0865 0004 -3201B do Estado De Sergipe SA S 0061 0023 0168 0026 0947 0004 -1484Nossa Caixa - N Banco SA S 0054 0035 0085 0012 0977 0004 -547Bradesco N 0056 0036 0107 0017 0919 0004 -2123Itau N 0058 0030 0212 0032 0896 0003 -3979Safra N 0052 0035 0107 0013 0882 0003 -445Unibanco N 0052 0035 0082 0013 0892 0001 -7446Mercantil Do Brasil N 0057 0027 0093 0015 0942 0002 -2687BBM N 0075 0015 0294 0064 0784 0005 -4512BMC N 0050 0029 0074 0011 0846 0003 -472BMG N 0065 0016 0202 0047 0779 0003 -7192JMalucelli N 0048 0022 0071 0014 0720 0003 -8923PEBB N 0061 0016 0172 0044 0704 0008 -382SS N 0056 0033 0213 0037 0799 0007 -2875Sofisa N 0053 0020 0087 0019 0805 0002 -9731BIC N 0061 0033 0269 0048 0854 0005 -2768Schahin N 0053 0027 0205 0034 0836 0006 -2627Stock N 0081 0020 0265 0068 0820 0006 -3122Pine N 0052 0022 0118 0021 0808 0004 -5467Socopa N 0054 0026 0114 0016 0888 0003 -3785Intercap N 0057 0023 0203 0035 0815 0006 -2877Indusval N 0062 0029 0239 0043 0857 0005 -3085Bonsucesso N 0052 0019 0088 0018 0782 0005 -403Industrial do Brasil N 0050 0030 0076 0015 0809 0002 -9427Votorantim N 0051 0036 0102 0017 0817 0008 -2222Cacique N 0050 0023 0067 0013 0776 0005 -4659Inter Amex N 0052 0035 0064 0009 0837 0007 -2226Alfa N 0048 0039 0071 0007 0805 0002 -11484Rendimento N 0052 0022 0076 0013 0874 0008 -1571Bancoob N 0057 0045 0071 0011 0855 0003 -5022Original N 0094 0017 0278 0090 0730 0006 -4242Banco Intermedium SA N 0049 0027 0065 0014 0746 0006 -4054

Table A9 ndash Continue on next page

47

Table A9 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0019 0220 0050 0764 0003 -7516Banco BBN SA N 0050 0027 0072 0013 0819 0012 -1529B Cooperativo Sicredi SA N 0051 0041 0068 0006 0875 0005 -2551B Cooperativo do Brasil SA N 0053 0044 0134 0018 0910 0006 -151Banco Topazio SA N 0066 0035 0128 0036 0837 0005 -2981Banco Gerador SA N 0082 0045 0157 0043 0854 0007 -1967Banco Randon SA N 0106 0026 0312 0105 0786 0005 -4204Parana Banco SA N 0048 0025 0102 0018 0787 0008 -2768Banco Triangulo SA N 0054 0027 0088 0021 0834 0004 -427Banco Guanabara SA N 0051 0023 0161 0025 0780 0004 -5659Banco Cedula SA N 0069 0012 0360 0065 0735 0003 -1028Banco Cacique SA N 0073 0027 0240 0075 0786 0016 -1327Banco Luso Brasileiro SA N 0065 0026 0242 0047 0852 0004 -346Banco Pecunia SA N 0045 0037 0056 0006 0773 0003 -7139Banco Zogbi SA N 0048 0036 0064 0010 0779 0001 -15057Banco Daycoval SA N 0055 0022 0126 0030 0784 0004 -568Banco John Deere SA N 0056 0018 0125 0031 0757 0003 -8084Banco AJ Renner SA N 0051 0025 0077 0013 0829 0006 -2763ABN Amro F 0053 0038 0074 0013 0909 0002 -4803Chase F 0066 0014 0220 0046 0793 0008 -2711LLoyds F 0050 0026 0060 0011 0825 0003 -5323BankBoston F 0054 0038 0092 0018 0899 0006 -1734Santander Brasil F 0056 0033 0098 0019 0885 0007 -1529Citibank F 0059 0025 0145 0030 0872 0003 -421BNL F 0052 0039 0091 0018 0840 0006 -2854Sudameris F 0053 0046 0062 0005 0961 0011 -352Societe Generale F 0058 0023 0144 0028 0827 0006 -2968Europeu F 0052 0031 0069 0012 0849 0007 -23ABC-Brasil F 0051 0028 0091 0015 0815 0003 -6225Dresdner F 0078 0017 0271 0071 0816 0005 -339AGF Braseg F 0050 0030 0094 0015 0797 0004 -4873HSBC F 0057 0045 0116 0016 0966 0006 -562Deutsche F 0066 0013 0151 0034 0858 0004 -3316BNP Paribas F 0050 0036 0071 0010 0823 0005 -3772Barclays F 0057 0024 0102 0025 0777 0007 -3003Rabobank Int Brasil SA F 0057 0021 0157 0026 0842 0003 -5266B Nat de Paris Brasil SA F 0059 0023 0102 0030 0812 0006 -3387Ibibank SA - Banco Multiplo F 0056 0012 0100 0023 0781 0015 -148Dresdner Bank - B Multiplo F 0084 0016 0237 0064 0771 0008 -2798Banco Westlb Do Brasil SA F 0061 0033 0101 0025 0841 0010 -1646Banco GE Capital SA F 0063 0031 0238 0044 0853 0010 -1548B Com Uruguai SA F 0074 0020 0226 0056 0833 0003 -51921S - State-owned bank N - National bank and F - Foreign bank

48

Table A10 Estimates of Lerner index and return to scale by bank - Model (5)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0043 0093 0012 0940 0007 -834Banrisul S 0054 0041 0083 0009 0949 0008 -668BEC S 0046 0020 0075 0014 0846 0009 -1719BRB S 0058 0032 0121 0017 0960 0002 -1607BB S 0056 0037 0087 0010 0981 0006 -321Caixa Economica Federal S 0061 0050 0156 0019 1044 0003 1282B da Amazonia SA S 0057 0016 0115 0023 0843 0008 -2023B do Estado Do Para SA S 0059 0027 0102 0020 0938 0004 -1608B do E Do Maranhao SA S 0052 0042 0064 0006 0939 0015 -418B do E Do Piauı SA - Bep S 0054 0029 0138 0025 0866 0004 -3097B do Estado De Sergipe SA S 0059 0024 0136 0020 0949 0004 -1404Nossa Caixa - N Banco SA S 0055 0036 0088 0013 0979 0004 -494Bradesco N 0056 0037 0108 0016 0918 0004 -2108Itau N 0058 0031 0213 0033 0894 0003 -3968Safra N 0052 0036 0086 0010 0881 0003 -4388Unibanco N 0053 0037 0085 0013 0892 0001 -7433Mercantil Do Brasil N 0057 0027 0086 0012 0943 0002 -2619BBM N 0075 0015 0292 0063 0784 0005 -447BMC N 0050 0029 0077 0012 0846 0003 -4648BMG N 0067 0017 0220 0051 0777 0003 -7116JMalucelli N 0049 0022 0083 0016 0718 0003 -8879PEBB N 0060 0017 0176 0044 0704 0008 -3743SS N 0059 0032 0223 0041 0798 0007 -2847Sofisa N 0055 0021 0112 0022 0804 0002 -9624BIC N 0060 0032 0238 0041 0853 0005 -2725Schahin N 0055 0028 0228 0038 0836 0006 -2575Stock N 0082 0019 0267 0068 0821 0006 -3063Pine N 0052 0022 0096 0018 0808 0004 -5392Socopa N 0055 0027 0113 0016 0889 0003 -3694Intercap N 0060 0023 0210 0037 0814 0006 -2856Indusval N 0062 0029 0245 0044 0857 0005 -3023Bonsucesso N 0053 0020 0113 0022 0781 0005 -3999Industrial do Brasil N 0051 0030 0084 0016 0808 0002 -9274Votorantim N 0052 0037 0130 0022 0816 0008 -2227Cacique N 0049 0024 0065 0012 0775 0005 -4632Inter Amex N 0052 0034 0067 0011 0837 0007 -2236Alfa N 0047 0041 0056 0004 0804 0002 -11448Rendimento N 0053 0022 0079 0011 0874 0008 -1549Bancoob N 0056 0050 0064 0005 0856 0003 -4874Original N 0087 0018 0288 0093 0728 0006 -4259Banco Intermedium SA N 0055 0027 0078 0019 0744 0006 -4047

Table A10 ndash Continue on next page

49

Table A10 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0217 0048 0763 0003 -7417Banco BBN SA N 0051 0026 0075 0014 0820 0012 -1504B Cooperativo Sicredi SA N 0051 0040 0061 0005 0876 0005 -2499B Cooperativo do Brasil SA N 0054 0043 0136 0019 0912 0006 -1445Banco Topazio SA N 0061 0034 0109 0026 0838 0006 -2897Banco Gerador SA N 0073 0052 0124 0026 0855 0008 -1918Banco Randon SA N 0120 0024 0327 0114 0785 0005 -4153Parana Banco SA N 0048 0026 0106 0020 0786 0008 -2732Banco Triangulo SA N 0055 0027 0111 0022 0834 0004 -4227Banco Guanabara SA N 0052 0024 0153 0024 0779 0004 -5589Banco Cedula SA N 0069 0012 0339 0062 0734 0003 -10232Banco Cacique SA N 0076 0027 0246 0076 0785 0016 -1317Banco Luso Brasileiro SA N 0067 0027 0207 0047 0852 0004 -3379Banco Pecunia SA N 0046 0038 0054 0006 0773 0003 -71Banco Zogbi SA N 0047 0037 0061 0010 0778 0001 -14931Banco Daycoval SA N 0054 0022 0126 0026 0782 0004 -5661Banco John Deere SA N 0056 0018 0129 0031 0756 0003 -8043Banco AJ Renner SA N 0053 0025 0080 0015 0829 0006 -2716ABN Amro F 0053 0038 0074 0012 0908 0002 -4751Chase F 0067 0014 0225 0047 0792 0008 -2693LLoyds F 0049 0025 0064 0012 0824 0003 -5227BankBoston F 0054 0037 0096 0020 0899 0006 -1701Santander Brasil F 0057 0033 0103 0019 0884 0008 -1511Citibank F 0059 0026 0154 0028 0871 0003 -4204BNL F 0052 0037 0097 0020 0840 0006 -28Sudameris F 0052 0045 0058 0005 0962 0011 -334Societe Generale F 0060 0023 0151 0031 0827 0006 -2924Europeu F 0050 0032 0066 0012 0849 0007 -2263ABC-Brasil F 0051 0025 0079 0014 0814 0003 -617Dresdner F 0080 0017 0276 0073 0816 0005 -3374AGF Braseg F 0050 0031 0093 0015 0796 0004 -4812HSBC F 0057 0043 0093 0011 0966 0006 -541Deutsche F 0066 0013 0155 0035 0858 0004 -3244BNP Paribas F 0050 0035 0067 0008 0822 0005 -3775Barclays F 0056 0024 0113 0025 0778 0007 -305Rabobank Int Brasil SA F 0057 0021 0163 0027 0842 0003 -5208B Nat de Paris Brasil SA F 0058 0022 0100 0029 0812 0006 -3343Ibibank SA - Banco Multiplo F 0057 0012 0099 0023 0780 0015 -1478Dresdner Bank - B Multiplo F 0087 0016 0244 0068 0770 0008 -2768Banco Westlb Do Brasil SA F 0063 0034 0106 0026 0841 0010 -1625Banco GE Capital SA F 0064 0032 0247 0046 0853 0010 -1522B Com Uruguai SA F 0073 0019 0191 0049 0833 0003 -50981S - State-owned bank N - National bank and F - Foreign bank

50

Table A11 Estimates of Lerner index and return to scale by bank - Model (6)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0036 0096 0015 0939 0007 -855Banrisul S 0050 0035 0098 0014 0938 0008 -82BEC S 0041 0019 0067 0012 0855 0009 -1644BRB S 0053 0029 0124 0018 0956 0002 -1996BB S 0051 0032 0088 0013 0954 0006 -807Caixa Economica Federal S 0054 0040 0094 0012 1014 0003 475B da Amazonia SA S 0053 0015 0103 0022 0846 0008 -205B do Estado Do Para SA S 0051 0028 0074 0013 0943 0004 -1319B do E Do Maranhao SA S 0041 0031 0059 0008 0950 0014 -346B do E Do Piauı SA - Bep S 0042 0028 0084 0012 0879 0004 -2727B do Estado De Sergipe SA S 0052 0022 0153 0022 0953 0003 -1377Nossa Caixa - N Banco SA S 0047 0032 0081 0014 0969 0004 -74Bradesco N 0052 0032 0097 0019 0898 0004 -2645Itau N 0054 0027 0190 0031 0877 0003 -4452Safra N 0049 0032 0100 0015 0872 0003 -5056Unibanco N 0043 0032 0067 0010 0878 0001 -8666Mercantil Do Brasil N 0053 0026 0087 0017 0938 0002 -3104BBM N 0066 0013 0251 0056 0792 0005 -4556BMC N 0041 0026 0069 0011 0850 0003 -4582BMG N 0067 0016 0228 0057 0781 0003 -6611JMalucelli N 0051 0022 0089 0017 0725 0003 -9344PEBB N 0046 0015 0157 0039 0728 0008 -3313SS N 0058 0025 0230 0046 0801 0007 -292Sofisa N 0053 0020 0119 0025 0809 0002 -8846BIC N 0060 0029 0262 0049 0852 0005 -2697Schahin N 0049 0025 0229 0040 0843 0006 -2523Stock N 0081 0017 0284 0072 0836 0005 -2986Pine N 0049 0021 0112 0019 0812 0004 -5267Socopa N 0050 0026 0095 0015 0900 0003 -3515Intercap N 0055 0021 0196 0035 0828 0006 -2899Indusval N 0061 0029 0262 0049 0863 0005 -2762Bonsucesso N 0052 0019 0123 0026 0791 0005 -3885Industrial do Brasil N 0046 0027 0088 0015 0816 0002 -8698Votorantim N 0051 0027 0139 0027 0813 0007 -262Cacique N 0039 0022 0050 0009 0784 0005 -4707Inter Amex N 0045 0027 0064 0012 0843 0006 -2493Alfa N 0044 0033 0068 0009 0805 0002 -12111Rendimento N 0050 0022 0073 0010 0883 0008 -1543Bancoob N 0066 0055 0072 0007 0856 0003 -4559Original N 0098 0020 0294 0094 0735 0006 -4509Banco Intermedium SA N 0057 0024 0085 0022 0756 0006 -4324

Table A11 ndash Continue on next page

51

Table A11 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0061 0017 0195 0048 0777 0003 -7233Banco BBN SA N 0042 0023 0059 0012 0831 0011 -1529B Cooperativo Sicredi SA N 0048 0035 0066 0009 0879 0005 -2672B Cooperativo do Brasil SA N 0046 0034 0119 0017 0917 0006 -1439Banco Topazio SA N 0070 0031 0129 0036 0853 0005 -2776Banco Gerador SA N 0086 0057 0148 0034 0867 0007 -1825Banco Randon SA N 0126 0028 0331 0114 0799 0005 -4136Parana Banco SA N 0039 0023 0082 0015 0798 0008 -2556Banco Triangulo SA N 0052 0025 0116 0025 0840 0004 -4363Banco Guanabara SA N 0048 0021 0100 0019 0792 0004 -5683Banco Cedula SA N 0067 0013 0356 0067 0749 0002 -10205Banco Cacique SA N 0067 0026 0232 0073 0792 0015 -1356Banco Luso Brasileiro SA N 0065 0025 0237 0052 0864 0004 -3163Banco Pecunia SA N 0037 0029 0045 0006 0786 0003 -7158Banco Zogbi SA N 0037 0027 0045 0007 0785 0002 -13921Banco Daycoval SA N 0053 0020 0120 0031 0787 0003 -6088Banco John Deere SA N 0043 0017 0099 0022 0764 0003 -8346Banco AJ Renner SA N 0050 0025 0080 0013 0840 0006 -2706ABN Amro F 0043 0035 0067 0008 0894 0002 -6685Chase F 0059 0014 0189 0040 0803 0007 -2772LLoyds F 0039 0021 0055 0012 0824 0003 -5536BankBoston F 0044 0029 0075 0015 0890 0006 -1965Santander Brasil F 0054 0028 0107 0024 0871 0008 -1694Citibank F 0054 0023 0133 0026 0863 0003 -4787BNL F 0042 0028 0078 0018 0843 0005 -2998Sudameris F 0041 0036 0052 0006 0948 0010 -491Societe Generale F 0054 0020 0118 0025 0834 0006 -2716Europeu F 0038 0029 0049 0008 0856 0006 -2239ABC-Brasil F 0046 0028 0084 0014 0816 0003 -6111Dresdner F 0063 0015 0239 0061 0823 0005 -3888AGF Braseg F 0047 0027 0074 0014 0807 0004 -4477HSBC F 0054 0032 0109 0018 0950 0006 -823Deutsche F 0058 0013 0122 0028 0863 0004 -305BNP Paribas F 0051 0032 0070 0011 0822 0004 -4145Barclays F 0064 0024 0128 0029 0802 0005 -4051Rabobank Int Brasil SA F 0051 0019 0130 0021 0846 0003 -4992B Nat de Paris Brasil SA F 0043 0019 0070 0019 0819 0005 -3429Ibibank SA - Banco Multiplo F 0049 0010 0083 0020 0785 0013 -161Dresdner Bank - B Multiplo F 0087 0016 0261 0066 0783 0007 -2901Banco Westlb Do Brasil SA F 0051 0030 0082 0019 0850 0009 -1643Banco GE Capital SA F 0053 0028 0239 0044 0859 0009 -1544B Com Uruguai SA F 0071 0017 0217 0054 0845 0003 -48451S - State-owned bank N - National bank and F - Foreign bank

52

Seacuterie de Textos para Discussatildeo do Curso de Ciecircncias Econocircmicas ndash FACEUFG ndash TD [078]

EDITORIAL FACE ndash Faculdade de Administraccedilatildeo Ciecircncias Contaacutebeis e Ciecircncias Econocircmicas Curso de Ciecircncias Econocircmicas Direccedilatildeo FACE Prof Moiseacutes Ferreira da Cunha Vice-Direccedilatildeo FACE Profordf Andreacutea Freire de Lucena Coordenaccedilatildeo do Curso de Ciecircncias Econocircmicas Prof Tiago Camarinha Lopes NEPEC ndash Nuacutecleo de Estudos e Pesquisas Econocircmicas Coordenaccedilatildeo Prof Seacutergio Fornazier Meyrelles Filho SEacuteRIE DE TEXTOS PARA DISCUSSAtildeO DO CURSO DE CIEcircNCIAS ECONOcircMICAS DA UFG Coordenaccedilatildeo e Equipe de Editoraccedilatildeo Prof Sandro Eduardo Monsueto Adriana Moura Guimaratildees Matheus Henrique de Arauacutejo Dutra

Endereccedilo Campus Samambaia Preacutedio da FACE ndash Rodovia GoiacircniaNova Veneza km 0 ndash CEP 74690-900 Goiacircnia ndash GO Tel (62) 3521 ndash 1390 URL httpwwwfaceufgbreconomia Publicaccedilatildeo cujo objetivo eacute divulgar resultados de estudos que contam com a participaccedilatildeo de pesquisadores do NEPEC As opiniotildees contidas nesta publicaccedilatildeo satildeo de inteira responsabilidade do(s) autor(es) natildeo representando necessariamente o ponto de vista do NEPEC ou da FACEUFG Eacute permitida a reproduccedilatildeo desde que citada a fonte

Page 2: 1(3(& )$&( 8)* · The Dark Side of Prudential MeasuresI Paulo R. Scalco a, Benjamin M. Tabak1, Anderson M. Teixeira aFaculty of Management, Accounting and Economics, Federal University

Seacuterie de Textos para Discussatildeo do Curso de Ciecircncias Econocircmicas ndash FACEUFG ndash TD [078]

Dados Internacionais de Catalogaccedilatildeo na Publicaccedilatildeo (CIP) GPTBCUFG

Scalco Paulo Roberto The Dark Side of Prudential Measures Benjamin M Tabak Anderson M Teixeira - 2019

53 f (Seacuterie de Textos para Discussatildeo do Curso de Ciecircncias Econocircmicas 078)

Universidade Federal de Goiaacutes Faculdade de Administraccedilatildeo Ciecircncias Contaacutebeis e Ciecircncias Econocircmicas (FACE) Goiacircnia 2018

1 Bank Regulation 2 Prudential Measures 3 Market Power IV Tiacutetulo

The Dark Side of Prudential MeasuresI

Paulo R Scalcoa Benjamin M Tabak1 Anderson M Teixeiraa

aFaculty of Management Accounting and Economics Federal University of Goias - FACEUFG BrazilbEscola de Polıticas Publicas e Governo Fundacao Getulio Vargas - FGVEPPG (School of Public Policy

and Government Getulio Vargas Foundation - FGV) Brasılia Brazil

Abstract

In the aftermath of the financial crisis of 2008 and 2009 there is a series of changes in the

scenario of financial regulation Globally several macroprudential measures that seek to

limit systemic risk are currently in use We evaluated the effect of these measures on the

market power of banks in the Brazilian case in which there was a process of great banking

concentration that coexists with high bank spreads Using an innovative methodology we

show that the effect of macroprudential measures is to reduce bank competition by increasing

the market power of banks It is essential that financial regulators consider this adverse effect

in the design of a financial regulation that not only aims at financial stability but also a

more competitive banking system

Keywords Bank Regulation Prudential Measures Market Power Lerner Index

Stochastic Frontier

IPaulo R Scalco (Grant no 4210782018-9) Benjamin M Tabak (Grant no 3054272014-8) andAnderson M Teixeira (Grant no4021702016-4) gratefully acknowledge financial support from the CNPqfoundation

Email addresses scalcoufgbr (Paulo R Scalco) benjamintabkgmailcom (Benjamin MTabak) andersonmutterteixeiragmailcom (Anderson M Teixeira)

Preprint submitted to Elsevier June 27 2019

1 Introduction

The financial crisis that hit the economies of the world from 2007 to 2009 reinvigorated

the debate on how to regulate banks and other financial institutions to ensure financial

stability Before the global financial crisis (GFC) financial regulation for banks and other

financial intermediaries was focused on instruments aimed at reducing the risk of bankruptcy

ie microprudential measures However as seen in the GFC the bankruptcy of a large

financial institution (FI) put at risk the solvency of the system as a whole and raised concerns

about global financial stability Since then systemic risk became the focus of financial

regulation - macroprudential measures

The implementation of this new set of micro and macroprudential measures has raised

several challenges for assessing the impact of such measures on banks and the financial

system as a whole and spurred a vast literature on the subject One of the main challenges

is to evaluate the effectiveness of macroprudential policies concerning the central objective

of increasing resilience Besides that to smooth the business cycles of the financial system

(Claessens et al 2013 Claessens amp Laeven 2004 Cerutti et al 2017a Jimenez et al 2017

Altunbas et al 2018 Ely et al 2019 Klingelhoger amp Sun 2019 Richter et al 2019)

To the best of our knowledge we note that most of the research focuses on analyzing

the impact of prudential measures (micro and macroprudential) on bank loans risk-taking

behavior of the FI or transmission of monetary policies however not directly on the (in)

efficiency of the credit market There are few exceptions The first is the work of Cubillas

amp Suarez (2018) that investigates the negative impact of the GFC on the availability of

credit and find that the increase of the banksrsquo market power neutralized this effect The

relevant fact of this study is that this neutralizing effect on the availability of credit caused

by the increase in market power is more significant in countries with fewer restrictions on

the activities of banks or less power of official supervision of financial institutions

The second is Ayyagari et al (2018) combining balance sheet data on 900000 firms

from 48 countries between 2003 and 2011 with detailed data on the use of macroprudential

policy instruments The main result indicate that macroprudential policies are negatively

2

associated with firm financing growth

In light of this situation this article in a pioneering way investigates the influence of

some prudential measures (micro and macroprudential) on the market power of Brazilian

banks using a new class of market power estimation models based on border techniques

(Stochastic Frontier Analysis - SFA) initially proposed by Kumbhakar et al (2012)

The central hypothesis formulated in this paper is that prudential rules to which FIs are

subject may affect banks market power According to Claessens amp Laeven (2004) any policy

that restricts banking activity and makes it challenging to operate has negative impacts on

market competition since it enables large banks to increase their market power Therefore

a strict prudential regulatory framework could affect concentration indices and influence the

market power of FIs since the implementation of Basel I agreements in 1988

Our main contribution is to demonstrate that tightening on prudential measures has

a positive impact on bank mark-ups and therefore detrimental effects on competition in

the Brazilian banking industry Although not wholly comparable intuitively our results

are contrary to those of Cubillas amp Suarez (2018) A second empirical verification was to

establish a positive relationship between concentration and mark-up in the same sense estab-

lished by the traditional structure-conduct-performance paradigm of industrial organization

literature

Another contribution concerns the empirical method For the first time we employ

SFA models to estimate market power for Brazilian banks on an individual basis With

the estimation of the Lerner indexes for each bank it is possible to evaluate the market

power according to ownership and to verify that state-owned banks have market power

slightly lower than the private banks and foreign banks respectively Finally we also obtain

estimates of returns to scale that provides some evidence that Brazilrsquos financial institutions

operate with decreasing returns to scale

Although there is a large body of literature that shows the positive effects of prudential

measures ndash micro and macro ndash there is scarce literature that discusses the adverse effects of

these policies Most of the literature focuses on the effectiveness of these measures (Claessens

et al 2013 Cerutti et al 2017ab Jimenez et al 2017 Altunbas et al 2018 Ely et al

3

2019 Klingelhoger amp Sun 2019 Richter et al 2019) We present evidence that this effect

comes with a cost This reult is even more true for countries with imperfect credit markets

such as Brazil in which banking spreads are very high in real terms

We organize the remainder of the paper as follows In section two we present related

literature We present the empirical model in section three while we describe the database

and the empirical strategy in section four In the fifth section we present our main results

and in the sixth and last section we present our final considerations

2 Brief Literature Review

We can divide the literature related to our article into two groups The first group focuses

on the effectiveness of prudential measures while the second focuses on the traditional

literature of industrial organization more specifically on the estimation of market power

Before GFC the focus of financial regulation for banks and other financial intermediaries

was on instruments aimed at reducing the risk of bankruptcy ie measures of a micropru-

dential nature and not on the financial system as a whole However as seen in the GFC the

bankruptcy of a large FI put at risk the solvency of the system as a whole When a large

FI fails there is potential for amplification and contagion in the banking system These

effects may lead to cascade failures in the financial system which can provoke a significant

shock that affects the real sector adversely In order to account for the interconnections that

may exist between financial system players financial regulation changed its focus to curb

systemic risk using macroprudential measures

The works of Moreno (2011) Galati amp Moessner (2013) Lim et al (2011) Claessens

et al (2013) Claessens (2015) and Freixas et al (2015) summarize the main prudential

instruments (microprudential and macroprudential) implemented by developed and devel-

oping countries Also they present their meaning and purpose to mitigate the probability

of bankruptcy of FIs and the systemic risk arising from the procyclicality and the intercon-

nectivity between FIs

Among the empirical studies Lim et al (2011) analyze the links between macroprudential

policies and the development of the credit market and bank leverage They find evidence

4

suggesting that the presence of policies such as limits on maximum loan value (LTV) limits of

indebtedness (DTI) limits of credit growth capital reserve requirements and dynamic rules

of provisioning are associated with reductions in the procyclicality of credit and leverage

Claessens et al (2013) investigate how the change in the individual balance sheets of

banks in 48 countries in the period 2000-2010 responds to specific changes in some macro-

legal measures Among the main results the authors show that the maximum limits of

LTV DTI and the maximum limits of foreign currency lending are effective in reducing the

growth of bank leverage and the price of assets

Aiyar et al (2014) show that in response to stricter capital requirements (capital re-

quirement) regulated banks reduce borrowing while unregulated banks may even increase

Gropp et al (2018) study the requirement for higher capital requirements Its results point

to a reduction in credit and a smaller search for capital to meet the new targets Auer

amp Ongena (2019) find that an additional capital requirement on real estate loans leads to

growth in the retail lending channel

In addition to this empirical evidence Cerutti et al (2017a) using an IMF survey cover-

ing the use of twelve macroprudential measures in 119 countries over the period 2000-2013

indicate that in general emerging countries use intensely such instruments Also instru-

ments such as LTV and others that limit the level of indebtedness are associated with the

decline in credit growth especially real estate lending

Other studies however focusing on a few prudential measures and for few countries also

stand out Igan amp Kang (2011) investigate only the effectiveness of LTV and DTI measures

in Korea Wong et al (2011) also use only the LTV and DTI measures to investigate the

behavior of real estate credit and real estate prices in Hong Kong Camors amp Peydro (2014)

investigate the effect of capital withdrawal in Uruguay in the year 2008 Aiyar et al (2014)

also investigate the capital requirement for UK banks and confirm a substantial effect on

the bank loan Finally more recently Altunbas et al (2018) direct the investigation of the

effectiveness of macroprudential measures for the risk behavior of banks

Overall this literature shows that for different countries samples and prudential mea-

sures there is a positive effect on systemic risk Countries that implement these measures

5

can reduce their lending growth to more sustainable levels and improve their financial sta-

bility However what is the costs of these measures Is there a trade-off in using such

measures We now discuss the market power and bank competition literature to assess the

second strand of the literature that helps us make our connection

In the competition-related literature in the banking industry research models and ap-

proaches generally have a limitation due to the structure and availability of data However

the model of Panzar amp Rosse (1987) - PR - is a standard method when one wants to evaluate

the degree of competition in the industry Only in Brazil we can cite the works of Belaisch

(2003) Araujo amp Jorge Neto (2007) Lucinda (2010) Tabak et al (2012) Silva Barbosa

et al (2015) Tabak amp Gomes (2015) and Cardoso et al (2016) In our investigation we

found only two other studies that did not use the PR model Nakane (2002) uses a structural

model as proposed by Bresnahan amp Reiss (1991) and Coelho et al (2013) use a bank entry

model developed by Bresnahan (1982) Internationally the literature is vast and Bikker

et al (2012) offers a comprehensive survey of the literature developed around the world

Most papers that use the PR H-statistic assume it has a monotonic relationship with

bank competition Panzar amp Rosse (1987) did not establish this monotonic relation between

H-Statistic and the degree of market competition The magnitude of the H-Statistic relates

to ranges of values that refer to the hypothesis underlying the market structure Thus it does

not represent a monotonic relationship with the degree of market power (Panzar amp Rosse

1987 Bikker et al 2012 Cardoso et al 2016) Another problem is that the hypotheses

underlying the equilibria of monopolistic and perfect competition in the PR model use

another extremely restrictive set of hypotheses An important one is that the observed data

is from firms that operate in long-term equilibrium Also the model is susceptible to the

variables used and the specification used in the estimation process of the model (Hyde amp

Perloff 1995) Bikker et al (2012) are more emphatic and argue that the H-Statistic does

not even have an ordinal function with the level of competition in the industry

Given that what the evidence suggests is that H-statistics is not a reliable measure of

the degree of market power in an industry At least not in a continuous sense or monotonic

of measure Hyde amp Perloff (1995) emphasize that although structural models have some

6

influence on the specifications of their functions they would still be the only models capable

of providing an estimate of the degree of market power

Given this context we will use a new class of models to measure the degree of market

power proposed by Kumbhakar et al (2012) and based on stochastic boundary analysis

techniques (SFA) The SFA models have several advantages when compared to the traditional

models of literature known as New Industrial Empirical Organization (NEIO) and allow

estimating in a single model a unified structure a mark-up measure and an indicator of

market power Also we can obtain measures of elasticity return to scale and efficiency

Among the main advantages of SFA models it is possible to emphasize the flexibility

and the low requirement of information for estimations of the models The method also

allows estimating market power with or without constant returns to scale and provides an

estimate of the degree of market power in the same style as the Lerner index (Lerner 1934)

thereby circumventing the critique of the use of H as a monotonic measure of the degree

of competition Another advantage of the method is that unlike most NEIO models this

measure of market power is not only an estimate of the average parameter of the competition

level of the industry but the method also allows estimating a measure of the degree of market

power per bank and over time In the same way it is possible to estimate the returns to

the banksrsquo scale Finally the SFA technique allows the parameter of market power to be a

function of deterministic variables

One of the pioneering works using SFA techniques in the banking industry is the work

of Coccorese (2014) In this article the author estimates the Lerner index for each bank

individually for a group of countries between 1994 and 2012 with the results being broadly

comparable with the traditional NEIO models More recently Das amp Kumbhakar (2016)

have also used this class of models to investigate the market power of Indian banks

We use this model to evaluate the effect of prudential measures on the bankrsquos market

power Combining an SFA method with data on prudential measures we can estimate these

effects We use prudential measures as explanatory variables for the market power parameter

that we estimate in the SFA

7

3 Empirical Method

31 Empirical Model

Our empirical model follows the models proposed by Coccorese (2014) and Das amp Kumb-

hakar (2016) However we incorporate the possibility that the mark-up has two components

a purely stochastic and a deterministic part The derivation of the model starts from the

equilibrium condition that for a profit-maximizing bank (P ) will be greater than or equal

to its Marginal Cost (MC)

P geMC (1)

The distance between P and MC determines the degree of market power of the bank

If we multiply both terms of the inequality in equation 1 by the ratio of the total product

(Y ) and the total cost (C) and considering that MC = partCpartY

we have

P middot YCge partC

partY

Y

C (2)

or

TR

Cge partlnC

partlnY (3)

Where TR corresponds to the total revenue and the relationship established in equation 3

states that in the same way as price deviates from its marginal cost the revenue-cost ratio

of the bank (TRC) detracts from its cost-elasticity

The inequality in equation 3 can be solved by adding a non-negative term u Thus

RC equiv TR

C=

partlnC

partlnY+ u u ge 0 (4)

RC is the observed revenue-cost ratio and partlnCpartlnY

is the cost-elasticity The non-negative

term u represents the mark-up of the bank however it can not be calculated using the

bankrsquos accounting data because the cost elasticity unlike RC must be calculated from a cost

8

function In addition the revenue-cost ratio can be affected by other unobserved variables

To accommodate this assumption we add a random error term iid v to equation 4

RC =partlnC

partlnY+ u+ v (5)

32 Primal Approach

As equation 5 has been defined we need to specify a cost function to estimate the term

u that is we are using a dual approach in the context of production theory Kumbhakar

et al (2012) show however that SFA models can use both the dual and primal approaches

to estimate market power In the dual approach the total cost of the bank depends on

the output quantity and input prices and the primal approach we can specify a produc-

tion function (or an input-distance function) where the output is a function of only input

quantities

This flexibility is essential because unlike many examples in the banking industry we do

not have information available on input prices When empirical models need this informa-

tion such as the PR model for example researchers circumvent this problem by estimating

input price estimates from accounting information such as the ratio between expenditure

and the amount of input used (expenditure on staff on total assets for example) The use

of this artifice however as highlighted by Kumbhakar et al (2012) can generate problems

in situations where the amount of input is endogenous

Thus like Das amp Kumbhakar (2016) we use the primal form as an alternative to the dual

form We start from the specification of a transformation function defined as Af(x Y T ) =

1 where f(middot) is a production function for a given technology Y is the quantity produced x

is the quantity vector of inputs used T is a trend variable capturing technological changes

and A is a parameter of neutral technological shift

Using a set of appropriate identification restrictions (Kumbhakar 2012) we can derive a

function input distance (IDF) from the transformation function given by xJ = Ah(x Y T )

or lnxJ = Ah(ln x lnY T ) where xj =xj

xJ j = 1 2 J minus 1 The IDF uses the normal-

ization that f(x Y T ) is homogeneous of degree minus1 iesum

jpartlnfpartlnxj

= minus1

9

Assuming that banks minimize the cost subject to technology specified by the production

function the Lagrangian for the minimization can be defined as

L = wrsquox + λ(Af(x Y T )minus 1) (6)

where w is a vector of input prices and the corresponding first order condition is

wj = minusλApartf(middot)partxj

j = 1 2 J (7)

Multiplying and dividing both sides by xj and f(middot) and rearranging terms we can

rewrite 7 as

wjxj = minusλAf(middot)partf(middot)partxj

xjf(middot)

= minusλAf(middot)partlnf(middot)partlnxj

j = 1 2 J (8)

If we take the sum of all inputs equation 8 becomes

C =Jsum

j=1

wjxj = minusλAf(middot)Jsum

j=1

partlnf(middot)partlnxj

rArr minusλA =C

f(middot)middot 1sumJ

j=1partlnf(middot)partlnxj

(9)

From the envelop Theorem we have that the marginal cost (MC) is partLpartYequiv MC =

λApartf(middot)partY

= 0

If we use equation 9 we can express it as

MC = minus C

f(middot)middot 1sumJ

j=1partlnf(middot)partlnxj

middot partf(middot)partY

partC

party

Y

Cequiv partlnC

partlny= minuspartf(middot)

partY

Y

f(middot)middot 1sumJ

j=1partlnf(middot)partlnxj

EC equivpartlnC

partlny= minuspartlnf(middot)

partlnYmiddot 1sumJ

j=1partlnf(middot)partlnxj

=partlnf(middot)partlnY

equiv EY (10)

Equation 10 states that the Cost Elasticity (EC) equals Product elasticity (EY ) which

can be calculated from the parameters of the distance input function (IDF) This result

10

is important because it means that we can substitute the term on the right side of the

equation 5 by product elasticity that is

RC =partlnf(middot)partlny

+ u+ v u ge 0 (11)

The advantage of estimating equation 11 rather than equation 5 is that we can estimate

mark-ups without the need for input and output prices that is we only need the information

on revenue and total cost of banks and the respective input quantities

In order to estimate the mark-up defined in equation 11 we assume that the transforma-

tion function takes a form of the translog type and apply the appropriate normalizations as

in Kumbhakar (2012) to express the transformation function in the form of an input input

function given by

lnx1 = α0 +Jminus1sumj=1

αjlnxj +1

2

Jminus1sumj=1

Jsumk=2

αjklnxjlnxk

+ αY lnY +1

2αY Y (lnY )2 +

Jminus1sumj=1

αjY lnxjlnY+ + αTT +1

2αTTT

2

+Jminus1sumj=1

αjT lnxjT + αY TT lnY

(12)

from which we can derive the product-elasticity as

EY equivpartlnx1partlnY

= αY + αY Y lnY +Jminus1sumj=1

αjY lnxj + αY TT (13)

where xj =xj

xJ j = 1 2 J minus 1

Replacing equation 13 in equation 11 we define our empirical equation as

RC = αY + αY Y lnY +Jminus1sumj=1

αjY lnxj + αY TT + u+ v (14)

As highlighted by Kumbhakar et al (2012) once that we are interested in estimating

the individual mark-up of each bank we need to focus only on 14 without the need to

11

estimate the full distance input function defined by 12 Besides since the compound error

term (ε = u + v) is the same in the SFA models we use the Maximum Likelihood method

to estimate the model (14) For this it is necessary to assume a hypothesis about the

distribution of the two components

We follow the literature and assume that the random error component v is independent

and identically distributed with a normal distribution zero mean and constant variance

that is v sim N(0 σ2v) On the other hand for the nonnegative component u representing

the banksrsquo mark-up we extend the models of by Coccorese (2014) and Das amp Kumbhakar

(2016) and separating the deviation from the competitive frontier in a deterministic part

which is a function of a vector of explanatory variables Zrsquo of the purely stochastic part

Following the SFA literature we estimate the deterministic component of mark-up si-

multaneously with the parameters of the 14 in the same way as Lopez et al (2018) This

procedure reduces possibility of bias of the estimates when the stochastic term includes

determinants of deviations Thus the mark-up (u) in 14 can be represented by

u = Zrsquoδ + ω (15)

where ω is the stochastic component of mark-up and is defined by a truncated normal

distribution with zero mean and constant variance σ2ω such that ω ge -Zrsquoδ Therefore the

mark-up (u) follows a distribution u sim N+(Zrsquoδ σ2ω)

Combining equations 14 and 15 the model we estimate is as follows

RC = αY + αY Y lnY +Jminus1sumj=1

αjY lnxj + αY TT + Zrsquoδ + ωit + v (16)

In order to verify the impact of prudential measures on the degree of competition we

have included the measures Cerutti et al (2016) as determinants of mark-up in addition to

a measure of concentration represented by the HHI calculated from the total assets of the

banks

12

33 Market Power

To measure the degree of power of each bank we use the traditional measure defined by

Lerner (1934)

L =P minusMC

P (17)

if L = 0 P = MC and for any value L gt 0 P gt MC In the limit L = 1

The connection between the SFA model (equation 16) and the Lerner index is done

rearranging the equation 5 Omitting the error term (v) for simplification we can rewrite

equation 5 as

P middot YC

partlnY

partlnCminus 1 = u

partlnY

partlnCmiddot (18)

Considering that partlnYpartlnC

= (partYpartC

)(CY

) we have

P minusMC

MC=

u

EC

middot (19)

Equation 19 corresponds to an alternative definition of mark-up called θ where the

distance between price and marginal cost is expressed as a fraction of the latter In addition

since the function input distance is dual the cost function we can substitute EC for EY in

equation 19 and after estimating equation 16 and obtain estimates of the mark-up (u) the

estimation of market power can be obtained by replacing the values estimated in equation 19

as follow

θ equiv P minusMC

MC=

u

αY + αY Y lnY +sumJminus1

j=1 αjY ln xj + αY TT (20)

This estimate can be used to obtain the traditional measure of Lerner index as in

equation 16 employing the following formula

L =θ

1 + θ (21)

13

34 Returns to Scale

Finally we can use the estimates of equation 16 to obtain other characteristics of tech-

nology such as the return to scale and the scale bias Formally EC = partlnCpartlnY

= (partCpartY

)(YC) =

MCAC where AC represents the average cost This means that the return to scale is

inversely related to cost elasticity that is RTS = 1EC If EC = 1 we will have constant re-

turns to scale if EC lt 1 we will have increasing returns (economies of scale) and if (EC gt 1)

we will have decreasing returns (diseconomies of scale) Again using the duality condition

between IDF and the cost function we can use the estimates of equation 16 to calculate the

return to scale and scale bias Respectively

RTS =1

αY + αY Y lnY +sumJminus1

j=1 αjY ln xj + αY TT(22)

and

Scale Bias = αY T (23)

If the scale bias parameter (αY T ) is statistically significant and greater than zero this

suggests that technological change is reducing economies of scale over time

4 Database and empirical approach

The database used can be divided into two parts The first part includes the information

of all FI authorized to operate in Brazil by the Brazilian Central Bank (BCB) This infor-

mation is available on the BCBrsquos website through the IFdata system and contains detailed

information on the balance sheet income statement and credit portfolio of all IFs In ad-

dition data are available on an individual basis as well as on financial conglomerates and

prudential conglomerates1 For this work we use the concept of financial conglomerates In

1The BCB defines as a financial conglomerate the group of financial entities directly or unrelated byshareholding or by effective operational control characterized by standard management or by operatingin the market under the same brand or commercial name (Circular note no 1273 from Brazilian CentralBank) The concept of a prudential conglomerate in turn encompasses a broader universe of entities suchas consortium administrators payment institutions and companies that purchase credit operations (Officedocument no 1273 from Brazilian Central Bank)

14

December 2018 there was information on a total of 2753 IFs between commercial banks

or multiple banks with and without commercial portfolios credit cooperatives development

banks among others arranged quarterly since the first quarter of 2000

Our sample was restricted only to commercial banks or multiple banks with commercial

portfolios and savings banks Banks with loan portfolio equal zero and did not contain

information for at least three consecutive years were excluded In the same way we excluded

banks with observations that fell bellow 1st percentile of the sample for each one of variables

used in the model or above 99th percentile only for the dependent variable RC = TRC

Furthermore we chose to work with the data on a semi-annual basis (June and December

base dates) because inconsistencies we have found in some quarterly accounting data After

applying all these criteria our sample was restricted to a panel with only 83 banks between

the first half of 2000 and the second half of 2014 totaling 1818 observations2 In terms

of representativeness our sample with only 83 banks corresponded to 794 of the total

assets and 817 of the credit portfolio of the entire SFN in December 2014

The second database was obtained from Cerutti et al (2016) In this unprecedented

database the focus is on the change and intensity in the use of a set of prudential instruments

classified as micro-prudential and macro-prudential3 They collect the data for 64 countries

with a quarterly period covering the period between the first quarter of 2000 and the fourth

quarter of 2014 In the database in addition to a considerable number of countries the

information collected by the authors has the objective of mapping the intensity and the

change occurring quarterly in each of the prudential instruments

The original instruments of the database are the capital requirement capital buffer

interbank exposure limit concentration limit maximum loan amount commonly known as

Loan-to-value and reserve requirement

Concerning the capital requirement instrument we can understand it as an imposition

2Although the BCB has information until the second half of 2018 the database with prudential variablesavailable in the article by Cerutti et al (2016) goes only until the second half of 2014

3The database of Cerutti et al (2016) is a considerable advance to the available prudential data collectedso far in Lim et al (2011) and Cerutti et al (2017a) In both studies the focus is on only identifying whetheror not the country has implemented the appropriate prudential instrument

15

for a compulsory deposit with the BCB of demand deposits of financial institutions Capital

buffer serves as a buffer against countercyclical capital whose purpose is to protect the

banking sector in periods of excessive credit growth which is associated with increased

systemic risk On the other hand in periods of credit constraint the buffering capital may

decrease and thus not affecting the performance of the real side of the economy

The interbank exposure limit is a liability limiter maintained by the banking sector as a

whole or by a particular bank By the concentration limit we mean a procedure that limits

the fraction of assets concentrated to a limited number of borrowers

Loan-to-value is a restriction to the borrower or activity It is the imposition of maximum

amounts of loans on the value of collateral or even maximum amounts of indebtedness to the

income of the borrower Finally we can interpret a reserve requirement as an instrument

whose purpose is to limit the multiplication of money in the economy through the imposition

of compulsory deposits with the Central Bank

The prudential capital buffer instrument was broken down into the following categories

general capital requirement real estate credit consumer credit and others We decompose

the reserve requirement instrument into two sub-indices local domestic currency and foreign

currency

Information on intensity and change in prudential tooling is collected as follows by the

researchers If the financial regulator tightens the instrument in question in a specific quarter

the index assumes a value of +1 On the other hand if the same instrument undergoes

relaxation or loosening the value of minus1

Finally the index receives a value of zero if there was no change in the prudential

instrument in that quarter4 According to Cerutti et al (2016) in addition to capturing the

intensity of change in such a prudential policy this type of coding incorporates qualitative

characteristics of the policy that are lost by the type of dichotomous coding (1 if implemented

and 0 otherwise) Despite the simplicity of the coding used it is imperfectly able to measure

direction in policy change Not all the instruments available on the original basis were used

4For more details on how the base was built see Cerutti et al (2016)

16

because some measures were not implemented by the BCB Examples are the capital buffer

for real estate credit the concentration limit of banks to sectors or borrowers and the limit

on interbank exposure

Moreover due to the low variability in most measures and the semi-annual structure

of the database obtained in the BCB we chose to use the cumulative indexes of variation

According to Cerutti et al (2016) the purpose of this cumulative index is to capture the

level of tightness or looseness over a given period Finally to capture an overall measure of

prudential instruments we aggregate all variations of prudential instruments into a single

aggregate instrument called cumulative prudential Table A5 attached illustrates the

change and the intensity of the prudential instruments implemented by Brazil according to

the data collected by Cerutti et al (2016)

Our empirical strategy consists in estimating the equation 16 by Maximum Likelihood in

a two-stage procedure wherein the first stage we obtain the estimates of the parameters of

the equation and in the second stage we calculate the estimates of uit using the conditional

mean estimator of Jondrow et al (1982)

After obtaining the estimates of u and RC equiv EY we use equation 20 to calculate the

estimated values of θ which are used to calculat e the Lerner Index (L) according to

equation 21

We estimated six models wif different sets of deterministic variables (prudential measures)

to control the parameter of market power (uit) In the first model we did not add any

controls In the second we include only the HHI In the third specification we include the

capital buffer and capital requirement The fourth model uses only the loan-to-value In the

fifth model we include reserve requirements in both foreign and local currency and in the

last model we include the cumulative prudential measure which is the sum of the changes

in all other prudential measures

The inclusion of prudential variables in a separated way was necessary because they

represent only the tightening or the loosening of the prudential instrument Therefore they

do not represent the change in the magnitude of the prudential instrument As such the

variables have little variability and the high correlation generated between them causes

17

severe problems in the estimation process by maximum likelihood In general the tests with

the aggregate models did not reach the convergence of likelihood function even using different

strategies for initial values or optimization algorithm and when the optimization reaches an

optimal state the estimates were inconsistent For this reason we chose to estimate simpler

models including prudential variables separately or at most two when they represented

similar measures

Besides two critical events occurred in the second half of 2008 and significantly changed

the structure and dynamics of the banking industry in Brazil The outbreak of the subprime

crisis in the US and the acquisition of Unibanco by Itau in Brazil5 Itau-Unibanco has become

the largest bank in Brazil (Itau-Unibanco) accounting for 191 of total SFN assets and

184 of the total loan portfolio in the second half of 2008

We can observe the increase in market concentration in Figure 1 which represents HHI

concentration indices for total assets and total credit portfolio The increase in concentra-

tion levels of the banking industry on the other hand also coincides temporarily with the

outbreak of the GFC and an increase in rigidity in prudential instruments after the onset of

the crisis6

These events result in a high correlation between the variables and making it more

difficult to isolate the effects of each variable on the parameter of market power In this

way we also chose to estimate an HHI-only model as the control variable of market power

(uit)

Figure 1 Evolution of the Herfindahl Index (HHI) over time using credit and total assets

for the Brazilian banking system

We summarize the description of the variables that we will use in the estimation of

5Unibanco was the sixth largest Brazilian bank in the first half of 2008 accounting for 59 of total SFNassets and 6 of the total loan portfolio Also Itau was the third largest bank with 118 of SFN and119 of the loan portfolio

6Cubillas amp Suarez (2018) find the same result as the banksrsquo market power increased shortly after theGFC

18

equation 16 and how we calculate them in Table 1 All variables included in equation 16

except for trend prudential variables an HHI are in the logarithms form

Table 1 Variables used to IDF estimatation

5 Empirical Results

We present the results of the models in Table 2 Initially focusing on the interpretation

of the parameters of the input-distance function we verified that the size of the IF credit

portfolio (lnY ) has a negative sign but it was significant only for models 1 4 and 5 This

result implies that the larger the portfolio size the lower the revenue-cost ratio of the FI

Table 2 Results of IDF estimation

The coefficients of Staff costs (lnx1) and volume of funding (lnx2) were also negative

and significant in all models Thus the higher the staff costs and the higher the funding

volume the lower the cost-to-cost ratio of the FIs The trend variable as established by

equation 23 represents the scale bias and the negative sign would indicate that technological

change would increase economies of scale over time however no estimate was significant

51 Impact of Prudential Measures on Mark-up

The evaluation of the variables that determine the mark-up parameter (u) shows that

all of them are statistically significant and positive The SFA model is not linear in these

parameters Therefore the value of the coefficients does not represent the effect of the

magnitude of changes in the variables on the mark-up (their elasticities) However we can

estimate their marginal effects We present them for each variable in Figure 2

19

Figure 2 Marginal effects of HHI and prudential instruments (Capital Buffer Capital

RequirementLTV Reserve Requirement (Foreign) Reserve Requirement (domestic) and

cumulative prud) on themark-upucomponent

The positive sign of HHI in model 2 means that the more concentrated the banking

industry is the higher the market power of FIs This result is in line with that established by

the traditional structure-conduct-performance paradigm (Schmalensee 1989) However as

can be seen in Figure 1 the increase in the concentration index coincides with the tightening

of the prudential measures stemming from the GFC In this sense we can not say whether

this is the real effect of the increase in market concentration on the market power of FIs or

whether it is affected by the tightening of prudential measures

If we focus on prudential instruments the results for capital buffers and the capital

requirement (model 3) indicate that a tightening in these variables - whose purpose is to

increase banksrsquo capital reserve during positive shocks in the economy - has a detrimental

effect on competition market since they raise the IF mark-ups This effect happens because

this prudential measure influences the smoothing of the credit supply cycle

The same results are present for the loan-to-value variable (model 4) In general this

measure sets limits on the leverage of mortgages and other securities and a tightening in

ltv is effective in controlling possible booms in the real estate market by reducing real estate

prices and ultimately reducing the excess volatility of the economy ((Zhang amp Zoli 2016

Ely et al 2019) According to the result found the higher the limits the greater the market

power of the FIs

With respect to reserve requirements both in foreign and local currency - credit limits

directly in foreign currency and domestic currency respectively - the results (model 5) also

demonstrate a detrimental effect on competition since the tightening in such measures also

implies an increase mark-up of IFs In the model 6 where we introduce the aggregate

prudential measure the result found is similar to the others that is the higher the tightness

(in general) in the prudential measures of the financial system the higher the market power

of FIs

20

Unfortunately since prudential variables represent only a measure of tightening or loos-

ening of prudential policy and not its magnitude we can not accurately assess the impact

of these variables on the mark-up The marginal effects represented in Figure 2 give us only

an idea of how such variables affected the estimated mark-ups

However in general we can say that the positive signs of the estimates mean that the

higher the tightness in these prudential policies the greater the mark-up and consequently

the higher the market power of the FIs Therefore we find a perverse effect on industry

competition and probably a loss of borrowers welfare

Our results are in accordance with the evidence that the increase in prudential rigor has

negative impacts mainly on the supply of credit (Lim et al 2011 Claessens 2015 Aiyar

et al 2014 Gropp et al 2018 Cerutti et al 2017a) Ceteris paribus the increase of IF

mark-ups would be a fully expected effect As highlighted by Claessens amp Laeven (2004) any

policy that restricts the activity of banks and hinders their operation has negative impacts

on market competition

52 Estimation of Lerner indices

Regarding the mark-up estimation the values reported at the bottom of Table 2 corre-

spond to the distance between the observed revenue-cost ratio and its competitive boundary

that is the component u

To interpret the mark-up however we will focus the discussion on the estimates of

Lerner index (equation 21) because they have a more unambiguous economic meaning We

summarize the results of Lerner index for general estimates by type of control and for each

model in Table 3 and the Figure 3 shows their frequency distributions We should emphasize

that these estimates are individuals that is we obtain the estimates for each IF and at each

period t The tables in Annex (A6 to A11) summarizes the estimates of the Lerner index

and the returns to scale for each IF in the sample

Table 3 Estimates of Lerner index general and by type of control

21

Figure 3 Frequency distribution of Lerner indexes for each model and density estimation

Kernel by typeof control

For all six models all mark-up estimates were within the theoretical range of 0 and 1

with the minimum value being 0009 (model 2) and the maximum value 0362 (model 3) In

general the estimated average value was between 0051 (model 2) and 0058 (models 1 and

5) which means that on average Brazilian banks have a mark-up between 51 and 58

These values are slightly different when we separate the estimates by type of control

In the case of state-owned banks the average mark-up was between 0047 (model 2)

and 0057 (model 1) These values are lower in all the estimated models to the values

of (privates) national banks (0052-0057) and foreign banks (0050-0061) However the

medians of estimated values for state-owned banks were higher than the national and foreign

private banks in all models

For comparison purposes these values are considerably lower than the value (016) esti-

mated for Brazil in Coccorese (2014) We believe that this difference is due to the model and

sample used Coccorese (2014) has estimated the dual version of model (equation 5) and

as highlighted by Kumbhakar et al (2012) the use of accounting information to calculate

input prices can generate problems when they are endogenous

Regarding the sample Coccorese (2014) also used a different period from ours (1994 to

2012) and a more significant number of IFs in the sample (189 against 83 used by us) The

main difference here is in the number of IF - 106 in total In this respect it is essential to

note that these FIs constitute small FIs and in the second half of 2014 they held only 37

of total SFN assets and 24 of the total credit portfolio

We tried to replicated the Coccoresersquo sample but in preliminary tests we have found great

difficulties in the models estimations in particular at convergence of likelihood function

We observed these small IFs had in several situations extremely high values for the revenue-

cost ratio or excessively low for the inputs used (personnel expenses and funding) as well

as other problems such as launch errors (positive values in variables of expenditure for

example) and missings For these reasons and considering that such IFs represented only a

22

small fraction of Brazilian credit market we decided to exclude them from the sample

However It is worth highlight as they are small FIs the vast majority operate in particular

segments of the credit market and probably assume a more risk-taking behavior Considering

that they will work with a segment of credit claimants with rdquoworse scoresrdquo than borrowers

using large FIs we expect that the mark-up of these IFs will be higher We can observe

(part of) this phenomenon in Figure 4 where we represent the estimates of the Lerner index

(vertical axis) against market share of total assets (horizontal axis) of our sample and it is

quite evident the smaller banks have the higher mark-ups Therefore as our sample exclude

a large proportion of these small IFs it is natural that Coccorese (2014)rsquo results larger than

ours

Figure 4 Lerner indexes according to the size (market share) of banksrsquo assets

Regardless of this our results seem to adhere well to reality because if we look at Figure

5 we note that the Lerner indices show a significant increase from the second semester of

2008 These results are in agreement with the results of Cubillas amp Suarez (2018) Besides

in Figure 6 Lerner indexes are separated by type of control and we can observe that with

some exceptions the market power has always been lower for state-owned banks especially

considering the period after the GFC

Figure 5 Average Lerner indices for each model between 2000q2 and 2014q4

Figure 6 Average Lerner indices estimated for public private national and private

foreign banks between2000q2 and 2014q4

23

53 Estimation of Returns to Scale

Finally Table 4 and Figure 7 summarize the estimates of returns to scale We highlight

that the average of the returns to the scale of the Brazilian FIs is very close if we comparer

the six estimated models (between 0848 and 0851) Although the values are close to unity

in all IFs we reject the hypotheses of constant returns to the scale that is RTS = 1 therefore

IFs have diseconomies of scale

Table 4 Estimates of returns to scale by control type and general

When we separate estimates by type of control the estimates of state-owned banks

(0937-0944) are higher than national (0824-0829) and foreign banks (0841-0844) This

result means that the scale problem is a problem common to all FIs in Brazil Moreover

state-owned banks runs closer to the constant return region than national and foreign banks

Figure 7 Frequency distribution of the returns to scale indexes for each model and

density estimationKernel by type of control

6 Final Considerations

Considering that the banking industry underwent a significant restructuring in recent

years caused by several mergers and acquisitions in the sector as well as by a severe financial

crisis started in mid 2007 and potentialized in 2008 understand the behavior of market

power and as a (partial) set of prudential instruments influencing this dynamic has become

paramount Thus in an innovative way this paper proposed the use of stochastic frontier

analysis techniques to measure market power for the Brazilian banking industry and to test

if such prudential measures had an impact on the competitive dynamics of sector

The estimated average Lerner index was between 51 and 58 for Brazilian FIs How-

ever when controlled by the type of control we find that state-owned banks have slightly

24

lower estimates than national and foreign banks respectively Also estimates of returns to

scale allow us to infer that FIs operate with diseconomies of scale

Concerning the impact of prudential measures on the market power of FIs our results

generally suggest that tightening of prudential measures have a positive impact on bank

mark-up and consequently have detrimental effects on competition in industry banking

Finally in future research it will be possible to better understand the influence of some

prudential measures in the banking market through the study by type of segment or line of

credit

25

References

Aiyar S Calomiris C W amp Wieladek T (2014) Does macro-prudential regulation leak ev-

idence from a uk policy experiment Journal of Money Credit and Banking 46 181ndash214

URL httpsonlinelibrarywileycomdoiabs101111jmcb12086 doi101111jmcb12086

arXivhttpsonlinelibrarywileycomdoipdf101111jmcb12086

Altunbas Y Binici M amp Gambacorta L (2018) Macroprudential policy and bank risk Journal of

International Money and Finance 81 203ndash220 doihttpsdoiorg101016jjimonfin201711

012

Araujo L A D d amp Jorge Neto P d M (2007) Risco e competicao bancaria no Brasil Revista Brasileira

de Economia 61 175ndash200 URL httpwwwscielobrscielophpscript=sci_abstractamppid=

S0034-71402007000200003amplng=enampnrm=isoamptlng=pt doi101590S0034-71402007000200003

Auer R amp Ongena S (2019) The countercyclical capital buffer and the composition of bank lending

Available at SSRN 3345189

Ayyagari M Beck T amp Peria M (2018) The micro impact of macroprudential policies Firm-level

evidence IMF Working Paper

Barbosa K de Paula Rocha B amp Salazar F (2015) Assessing competition in the banking indus-

try A multi-product approach Journal of Banking amp Finance 50 340ndash362 URL httpwww

sciencedirectcomsciencearticlepiiS0378426614001642 doi101016jjbankfin201405

003

Belaisch A (2003) Do Brazilian Banks Compete SSRN Scholarly Paper ID 879189 Social Science Research

Network Rochester NY URL httpspapersssrncomabstract=879189

Bikker J A Shaffer S amp Spierdijk L K (2012) Assessing competition with the panzar-rosse model

The role of scale costs and equilibrium Economics Letters 94 1025ndash1044

Bresnahan T F (1982) The oligopoly solution concept is identified Economics Letters 10 87ndash92 URL

httpdxdoiorg1010160165-1765(82)90121-5 doi1010160165-1765(82)90121-5

Bresnahan T F amp Reiss P (1991) Entry and competition in concentrated markets Journal of Political

Economy 99 977ndash1009

Camors C amp Peydro J (2014) Macroprudential and monetary policy Loan-level evidence from reserve

requirement Mimeo Universitat Pompeu Fabra URL httpspdfssemanticscholarorgd508

61639bb4e7453a7a39184edf9b0c1e7016a6pdf

Cardoso M Azevedo P F amp Barbosa K (2016) Concorrencia no setor bancario brasileiro bancos

individuais versus conglomerados bancarios (pp 113ndash146) URL httprepositorioipeagovbr

handle110586650

Cerutti E Claessens S amp Laeven L (2017a) The use and effectiveness of macroprudential policies New

26

evidence Journal of Financial Stability 28 203ndash224 doihttpsdoiorg101016jjfs201510

004

Cerutti E Correa R Fiorentino E amp Segalla E (2016) Changes in prudential policy instruments ndash a

new cross-country database IMF Working Paper WP1610

Cerutti E Dagher J amp DellrsquoAriccia G (2017b) Housing finance and real-estate booms A cross-country

perspective Journal of Housing Economics 38 1ndash13

Claessens S (2015) An overview of macroprudential policy tools Annual Re-

view of Financial Economics 7 397ndash422 URL httpsdoiorg101146

annurev-financial-111914-041807 doi101146annurev-financial-111914-041807

arXivhttpsdoiorg101146annurev-financial-111914-041807

Claessens S Ghosh S R amp Mihet R (2013) Macro-prudential policies to mitigate financial system

vulnerabilities Journal of International Money and Finance 39 153ndash185 doihttpsdoiorg10

1016jjimonfin201306023

Claessens S amp Laeven L (2004) What drives bank competition some international evidence Journal

of Money Credit and Banking 36 563ndash583 URL httpwwwjstororgstable3838954

Coccorese P (2014) Estimating the Lerner index for the banking industry a stochastic frontier approach

Applied Financial Economics 24 73ndash88 URL httpdxdoiorg101080096031072013866202

doi101080096031072013866202

Coelho C A De Mello J M amp Rezende L (2013) Do Public Banks Compete with Private

Banks Evidence from Concentrated Local Markets in Brazil Journal of Money Credit and Bank-

ing 45 1581ndash1615 URL httponlinelibrarywileycomdoi101111jmcb12063abstract

doi101111jmcb12063

Cubillas E amp Suarez N (2018) Bank market power and lending during the global financial crisis Jour-

nal of International Money and Finance 89 1ndash22 URL httpwwwsciencedirectcomscience

articlepiiS0261560618303048 doihttpsdoiorg101016jjimonfin201808003

Das A amp Kumbhakar S C (2016) Markup and efficiency of Indian banks an input distance func-

tion approach Empirical Economics (pp 1ndash31) URL httplinkspringercomarticle101007

s00181-015-1062-4 doi101007s00181-015-1062-4

Ely R Tabak B amp Teixeira A (2019) Heterogeneous effects of the implementation of macroprudential

policies on bank risk MPRA Paper No94546

Freixas X Laeven L amp Peydro J-L (2015) Systemic Risk Crises and Macroprudential Regulation

Mit Press URL httpwwwjstororgstablejctt17kk82g

Galati G amp Moessner R (2013) Macroprudential policy ndash a literature review Jour-

nal of Economic Surveys 27 846ndash878 URL httpsonlinelibrarywileycom

27

doiabs101111j1467-6419201200729x doi101111j1467-6419201200729x

arXivhttpsonlinelibrarywileycomdoipdf101111j1467-6419201200729x

Gropp R Mosk T Ongena S amp Wix C (2018) Banks Response to Higher Cap-

ital Requirements Evidence from a Quasi-Natural Experiment The Review of Finan-

cial Studies 32 266ndash299 URL httpsdoiorg101093rfshhy052 doi101093rfshhy052

arXivhttpoupprodsislanrfsarticle-pdf32126627185080hhy052pdf

Hyde C E amp Perloff J M (1995) Can market power be estimated Review of Industrial Organization 10

465ndash485 URL httplinkspringercomarticle101007BF01024231 doi101007BF01024231

Igan D amp Kang H (2011) Do loan-to-value and debt-to-income limits work evidence from korea IMF

Working Papers (pp 1ndash34)

Jimenez G Ongena S Peydro J-L amp Saurina J (2017) Macroprudential policy countercyclical bank

capital buffers and credit supply Evidence from the spanish dynamic provisioning experiments Journal

of Political Economy 125 2126ndash2177 URL httpsdoiorg101086694289 doi101086694289

arXivhttpsdoiorg101086694289

Jondrow J Knox Lovell C A Materov I S amp Schmidt P (1982) On the estimation of technical

inefficiency in the stochastic frontier production function model Journal of Econometrics 19 233ndash

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0304-4076(82)90004-5

Klingelhoger J amp Sun R (2019) Macruprudential policy central banks and financial stability Evidence

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jjimonfin201812015

Kumbhakar S C (2012) Specification and estimation of primal production models European Journal

of Operational Research 217 509ndash518 URL httpwwwsciencedirectcomsciencearticlepii

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Kumbhakar S C Baardsen S amp Lien G (2012) A New Method for Estimating Market Power with

an Application to Norwegian Sawmilling Review of Industrial Organization 40 109ndash129 URL http

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Lerner A P (1934) The Concept of Monopoly and the Measurement of Monopoly Power The Review

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2967480 doi1023072967480

Lim C H Costa A Columba F Kongsamut P Otani A Saiyid M Wezel T amp Wu X (2011)

Macroprudential policy what instruments and how to use them lessons from country experiences IMF

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Lopez R A He X amp Azzam A (2018) Stochastic frontier estimation of market

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Lucinda C R (2010) Competition in the Brazilian loan market an empirical analysis Estudos Economicos

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Moreno R (2011) Policymaking from arsquomacroprudentialrsquoperspective in emerging market economies

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Economics 42 33ndash52

29

Figure 1 Evolution of the Herfindahl Index (HHI) over time using credit and total assets for theBrazilian banking system

30

Figure 2 Marginal effects of HHI and prudential instruments (Capital Buffer Capital RequirementLTV Reserve Requirement (Foreign) Reserve Requirement (domestic) and cumulative prud) on the

mark-up u component

31

Figure 3 Frequency distribution of Lerner indexes for each model and density estimation Kernel by typeof control

32

Figure 4 Lerner indexes according to the size (market share) of banksrsquo assets

33

Figure 5 Average Lerner indices for each model between 2000q2 and 2014q4

34

Figure 6 Average Lerner indices estimated for public private national and private foreign banks between2000q2 and 2014q4

35

Figure 7 Frequency distribution of the returns to scale indexes for each model and density estimationKernel by type of control

36

Table 1 Variables used to IDF estimatation

Variabel Description SourceBasic variables

TR Total Revenue = Gross Insterest Income (a) + Bank-ing Service Fee Income (d1) + Banking Fee Income(d2) + Other Operating Income (d7)

Inc statIFData

TC Total Cost = Interest Expenses (b) + Personnel Ex-penses (d3) + Administrative Expenses (d4) + TaxExpenses (d5) + Other Operating Expenses (d8)

Inc statIFData

Y Loan Lease and Other Credit Operations by RiskLevel

SummaryIFData

x1 Personnel Expenses (d3) Inc statIFDatax2 Funding (e) LiabilitiesIFDatax3 Equity (j) LiabilitiesIFData

Model variabelslnRC Log of Revenue-Cost ratiolnY Log of total loanlnx1 Log of personnel expenses and equity ratio (x1x3)lnx2 Log of funding and equity ratio (x2x3)T Time

Prudential variables - Deterministic mark-up parametersHHIt HHIt =

sumS2it where Sit

2 is market share of totalasset of bank i on time t

Inc statIFData

cb cumulative change of capital buffer Cerutti et al (2016)cr cumulative change of capital requirement Cerutti et al (2016)ltv cumulative change of loan-to-value Cerutti et al (2016)

rr foreign cumulative change of reserve requirement (foreigncurrency)

Cerutti et al (2016)

rr local cumulative change of reserve requirement (domesticcurrency)

Cerutti et al (2016)

37

Table 2 Results of IDF estimation

Parameters VariablesEstimates

Model Model Model Model Model Model(1) (2) (3) (4) (5) (6)

Parametros da funcao insumo distanciaαY Y lnY -0013 -0003 -0004 -0012 -0011 -0005

(000) (000) (000) (000) (000) (000)α1Y lnx1 -0096 -0095 -0094 -0094 -0096 -0090

(001) (001) (001) (001) (001) (001)α2Y lnx2 -0019 -0022 -0022 -0019 -0020 -0021

(001) (001) (001) (001) (001) (001)αY T T -0000 -0000 -0000 -0000 -0000 -0000

(000) (000) (000) (000) (000) (000)αY const 1153 1010 1035 1134 1129 1057

(005) (007) (005) (005) (005) (006)

Deterministic Mark-up parametersδ1 HHI 764157

(12270)δ1 Capital

Buffer7586(065)

δ2 CapitalReq

4696(160)

δ1 Loan-to-value38511(671)

δ1 ResR(foreign)10730(433)

δ2 ResR(local)2869(126)

δ1 Cum Prud3237(020)

δ0 const minus10601minus10194minus5306 minus9866 minus8577 minus4993(032) (2064) (316) (079) (119) (122)

Distribution of u and vσ2u 2840 1418 1620 2643 2441 1593σ2v 0118 0121 0120 0118 0118 0120λ 2402 1172 1354 2233 2065 1325Log Lik 887404 922033 918606 896019 891991 907817

EstimatesEstimates of Mark-up (u)Avg 0075 0065 0068 0074 0075 00691st quartile 0052 0038 0051 0051 0051 0044Median 0062 0048 0060 0060 0061 00543st quartile 0080 0074 0079 0079 0079 0075std-dev 0053 0054 0053 0053 0054 0054

Note p lt 010 p lt 005 and p lt 001

38

Table 3 Estimates of Lerner index general and by type of control

EstimatesModel Model Model Model Model Model

(1) (2) (3) (4) (5) (6)Mark-up (L) generalAverage 0058 0051 0053 0057 0058 0053std-dev 0032 0034 0034 0032 0032 00331st quartile 0043 0031 0034 0041 0042 0036Median 0051 0039 0044 0050 0050 00453st quartile 0063 0060 0059 0063 0063 0060Mark-up (L) State-owned banksAverage 0057 0047 0049 0056 0056 0050std-dev 0018 0017 0017 0018 0016 00161st quartile 0047 0035 0038 0045 0046 0040Median 0054 0041 0046 0053 0053 00463st quartile 0064 0056 0056 0064 0063 0057Mark-up (L) National banksAverage 0057 0052 0054 0057 0057 0054std-dev 0034 0038 0038 0035 0035 00371st quartile 0041 0030 0033 0040 0041 0035Median 0050 0038 0043 0048 0049 00443st quartile 0061 0061 0060 0061 0062 0060Mark-up (L) Foreign banksAverage 0061 0050 0053 0059 0060 0054std-dev 0034 0033 0032 0034 0034 00321st quartile 0042 0031 0034 0041 0042 0036Median 0052 0040 0044 0051 0051 00453st quartile 0068 0059 0060 0066 0066 0061

Table 4 Estimates of returns to scale by control type and general

ModelState-owned

banksNational

banksForeignbanks

General std-dev Min Max

1 0944 0824 0842 0848 0073 0665 11242 0940 0829 0843 0851 0066 0690 10733 0938 0827 0842 0849 0066 0689 10764 0941 0824 0842 0848 0071 0671 11115 0942 0824 0841 0848 0072 0669 11136 0937 0829 0844 0850 0065 0692 1073

39

Appendix A Attachment Tables

Table A5 Cumulative change on Prudential Measures intensity

TimeCapitalBuffer 2

(cb)

CapitalReq(cr)

Loan-to-Value(ltv)

Reserve Reqlocal curr

(RR local)

Reserve Reqforeign cur

(RR foreign)

CumulativePrudential 3

(Cum Prud)2000q2 -1 0 0 0 -2 -32000q4 -1 0 0 0 -2 -32001q2 -1 0 0 0 -2 -32001q4 0 0 0 0 -1 -12002q2 0 0 0 0 0 02002q4 2 0 0 0 2 42003q2 0 0 0 0 3 32003q4 0 0 0 0 2 22004q2 0 0 0 0 2 22004q4 0 0 0 0 2 22005q2 0 0 0 0 2 22005q4 0 0 0 0 2 22006q2 0 0 0 0 2 22006q4 0 0 0 0 2 22007q2 2 0 0 0 2 42007q4 2 0 0 0 2 42008q2 2 0 0 0 2 42008q4 2 0 0 0 1 32009q2 2 0 0 0 0 22009q4 2 0 0 0 -1 12010q2 2 0 0 0 1 32010q4 3 0 0 0 3 62011q2 3 0 0 1 3 72011q4 4 0 0 2 3 92012q2 3 1 0 2 3 92012q4 3 1 0 1 2 72013q2 3 2 0 0 2 72013q4 3 2 1 0 2 82014q2 3 2 1 0 2 82014q4 2 2 1 0 3 82Sum of capital buffer and others 3Aggregate measure (It is the sum of the change of all other instrument)

40

Table A6 Estimates of Lerner index and return to scale by bank - Model (1)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0042 0082 0009 0940 0007 -85Banrisul S 0055 0041 0084 0009 0952 0008 -635BEC S 0048 0021 0077 0016 0844 0009 -1756BRB S 0058 0033 0100 0015 0961 0003 -1533BB S 0058 0039 0098 0012 0990 0006 -173Caixa Economica Federal S 0063 0051 0174 0022 1052 0004 1458B da Amazonia SA S 0057 0016 0124 0023 0844 0008 -2028B do Estado Do Para SA S 0061 0026 0110 0022 0936 0004 -1764B do Est do Maranhao SA S 0055 0046 0065 0006 0935 0014 -455B do Est do Piauı SA - Bep S 0057 0030 0155 0029 0862 0004 -326B do Estado De Sergipe SA S 0061 0024 0135 0022 0947 0004 -1453Nossa Caixa - N Banco SA S 0057 0036 0090 0013 0981 0004 -444Bradesco N 0056 0038 0114 0015 0925 0004 -1945Itau N 0059 0031 0220 0033 0901 0003 -3797Safra N 0053 0037 0085 0009 0885 0003 -4215Unibanco N 0055 0037 0088 0014 0897 0001 -7054Mercantil Do Brasil N 0057 0027 0077 0011 0945 0002 -2527BBM N 0076 0016 0300 0065 0783 0005 -4464BMC N 0052 0030 0079 0012 0845 0003 -4703BMG N 0065 0017 0208 0045 0779 0003 -729JMalucelli N 0047 0022 0069 0013 0718 0003 -8765PEBB N 0065 0017 0181 0047 0698 0008 -3914SS N 0057 0034 0220 0037 0799 0007 -2839Sofisa N 0054 0021 0092 0020 0804 0002 -9903BIC N 0060 0034 0236 0040 0855 0005 -276Schahin N 0056 0028 0214 0035 0835 0006 -262Stock N 0081 0020 0267 0067 0817 0006 -3107Pine N 0052 0022 0108 0019 0808 0004 -545Socopa N 0056 0027 0120 0017 0886 0003 -3806Intercap N 0060 0023 0212 0037 0812 0007 -2851Indusval N 0062 0030 0246 0043 0857 0005 -3139Bonsucesso N 0052 0020 0092 0018 0779 0005 -4033Industrial do Brasil N 0051 0031 0081 0016 0807 0002 -952Votorantim N 0052 0037 0107 0017 0819 0009 -2117Cacique N 0053 0024 0071 0014 0774 0005 -4621Inter Amex N 0055 0037 0068 0010 0837 0008 -2158Alfa N 0048 0041 0059 0005 0806 0002 -11303Rendimento N 0053 0022 0080 0012 0872 0008 -1562Bancoob N 0052 0046 0056 0003 0856 0003 -5061Original N 0085 0017 0279 0090 0729 0007 -4163Banco Intermedium SA N 0052 0028 0070 0015 0743 0006 -3973

Table A6 ndash Continue on next page

41

Table A6 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0225 0049 0761 0003 -7509Banco BBN SA N 0053 0027 0077 0014 0817 0012 -1509B Cooperativo Sicredi SA N 0052 0043 0062 0005 0875 0005 -2477B Cooperativo do Brasil SA N 0056 0046 0142 0020 0910 0006 -1479Banco Topazio SA N 0060 0035 0110 0027 0834 0006 -2966Banco Gerador SA N 0069 0045 0122 0028 0852 0008 -1968Banco Randon SA N 0109 0023 0320 0109 0783 0005 -4158Parana Banco SA N 0050 0026 0108 0020 0784 0008 -2799Banco Triangulo SA N 0055 0028 0091 0020 0833 0004 -4201Banco Guanabara SA N 0052 0024 0169 0025 0777 0004 -5588Banco Cedula SA N 0068 0012 0339 0061 0731 0003 -10236Banco Cacique SA N 0077 0028 0248 0077 0785 0016 -1309B Luso Brasileiro SA N 0065 0027 0208 0043 0849 0004 -349Banco Pecunia SA N 0047 0039 0060 0006 0770 0003 -7086Banco Zogbi SA N 0051 0038 0067 0011 0778 0001 -15193Banco Daycoval SA N 0054 0023 0131 0026 0783 0004 -5522B John Deere SA N 0059 0018 0133 0033 0756 0003 -7955Banco AJ Renner SA N 0053 0025 0081 0015 0827 0006 -2742ABN Amro F 0056 0039 0079 0014 0914 0002 -427Chase F 0068 0014 0228 0049 0790 0008 -2678LLoyds F 0053 0027 0064 0012 0825 0003 -5159BankBoston F 0057 0040 0099 0020 0902 0006 -1638Santander Brasil F 0057 0034 0097 0017 0890 0008 -146Citibank F 0059 0026 0153 0028 0875 0003 -4039BNL F 0055 0041 0097 0019 0840 0006 -2767Sudameris F 0056 0048 0065 0005 0966 0012 -297Societe Generale F 0060 0024 0153 0031 0826 0006 -299Europeu F 0054 0032 0073 0013 0848 0007 -2287ABC-Brasil F 0052 0025 0082 0014 0815 0003 -6207Dresdner F 0083 0017 0280 0074 0815 0006 -3234AGF Braseg F 0051 0031 0100 0016 0794 0004 -4923HSBC F 0057 0046 0092 0010 0971 0006 -466Deutsche F 0068 0013 0160 0036 0857 0004 -3335BNP Paribas F 0050 0037 0068 0007 0824 0005 -3665Barclays F 0052 0024 0089 0021 0771 0008 -2787Rabobank Int Brasil SA F 0058 0022 0166 0028 0842 0003 -5284B Nat de Paris Br SA F 0063 0023 0109 0033 0811 0006 -3331Ibibank SA - Banco Multiplo F 0059 0012 0106 0024 0781 0015 -1441Dresdner Bank - B Multiplo F 0086 0016 0244 0068 0768 0008 -2746Banco Westlb Do Brasil SA F 0064 0034 0108 0027 0839 0010 -1626Banco GE Capital SA F 0067 0032 0247 0047 0852 0010 -1527B Com Uruguai SA F 0072 0020 0192 0049 0830 0003 -52281S - State-owned bank N - National bank and F - Foreign bank

42

Table A7 Estimates of Lerner index and return to scale by bank - Model (2)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0049 0032 0085 0016 0944 0008 -716Banrisul S 0049 0032 0106 0017 0939 0008 -75BEC S 0032 0016 0046 0008 0860 0009 -1489BRB S 0049 0030 0112 0017 0961 0002 -1681BB S 0049 0032 0091 0016 0948 0006 -845Caixa Economica Federal S 0052 0034 0081 0014 1012 0003 382B da Amazonia SA S 0053 0015 0140 0028 0847 0008 -1922B do Estado Do Para SA S 0046 0029 0063 0009 0952 0005 -963B do Est do Maranhao SA S 0036 0029 0045 0005 0963 0016 -235B do Est do Piauı SA - Bep S 0036 0023 0071 0011 0888 0005 -2314B do Estado De Sergipe SA S 0050 0020 0155 0024 0962 0004 -1043Nossa Caixa - N Banco SA S 0039 0027 0074 0011 0972 0005 -601Bradesco N 0050 0028 0116 0023 0890 0004 -2618Itau N 0052 0024 0222 0037 0869 0003 -4269Safra N 0046 0028 0100 0017 0867 0003 -5042Unibanco N 0035 0028 0054 0007 0873 0001 -8511Mercantil Do Brasil N 0051 0029 0093 0019 0941 0002 -2837BBM N 0063 0012 0213 0048 0790 0005 -4494BMC N 0034 0023 0049 0007 0851 0003 -4266BMG N 0065 0015 0233 0057 0776 0004 -6135JMalucelli N 0052 0018 0080 0016 0720 0003 -9566PEBB N 0037 0014 0108 0025 0732 0009 -3086SS N 0056 0024 0236 0046 0797 0007 -2849Sofisa N 0052 0018 0107 0028 0808 0002 -8115BIC N 0057 0026 0259 0050 0850 0006 -2531Schahin N 0047 0022 0225 0041 0845 0007 -2359Stock N 0078 0017 0287 0071 0843 0006 -2782Pine N 0048 0018 0114 0023 0811 0004 -4973Socopa N 0050 0022 0136 0024 0908 0003 -3089Intercap N 0051 0019 0133 0031 0832 0006 -2759Indusval N 0061 0023 0267 0052 0866 0006 -2437Bonsucesso N 0050 0017 0109 0026 0791 0006 -3655Industrial do Brasil N 0044 0024 0079 0015 0816 0002 -8095Votorantim N 0048 0025 0120 0026 0807 0007 -2721Cacique N 0033 0020 0039 0006 0782 0005 -4597Inter Amex N 0035 0025 0045 0007 0844 0006 -2419Alfa N 0042 0029 0069 0013 0801 0002 -12139Rendimento N 0049 0019 0077 0015 0889 0008 -1394Bancoob N 0065 0057 0073 0006 0855 0003 -4199Original N 0099 0019 0299 0096 0732 0006 -4473Banco Intermedium SA N 0062 0032 0081 0019 0754 0006 -4393

Table A7 ndash Continue on next page

43

Table A7 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0059 0016 0239 0051 0778 0003 -6944Banco BBN SA N 0035 0020 0053 0009 0834 0011 -1466B Cooperativo Sicredi SA N 0045 0032 0070 0011 0881 0005 -2581B Cooperativo do Brasil SA N 0045 0029 0147 0025 0922 0006 -1274Banco Topazio SA N 0076 0043 0138 0038 0861 0005 -2569Banco Gerador SA N 0089 0054 0153 0037 0874 0008 -1645Banco Randon SA N 0122 0029 0335 0113 0803 0005 -388Parana Banco SA N 0033 0020 0062 0011 0800 0009 -234Banco Triangulo SA N 0052 0022 0105 0027 0841 0004 -4148Banco Guanabara SA N 0046 0019 0091 0020 0793 0004 -5561Banco Cedula SA N 0062 0011 0359 0067 0749 0003 -9911Banco Cacique SA N 0049 0020 0157 0048 0791 0016 -1315Banco Luso Brasileiro SA N 0066 0022 0241 0055 0870 0005 -2851Banco Pecunia SA N 0032 0027 0036 0003 0787 0003 -6876Banco Zogbi SA N 0032 0026 0037 0005 0784 0002 -13006Banco Daycoval SA N 0053 0019 0139 0036 0784 0004 -6065Banco John Deere SA N 0035 0016 0073 0016 0761 0003 -8278Banco AJ Renner SA N 0047 0021 0083 0015 0844 0006 -2553ABN Amro F 0035 0027 0047 0006 0889 0002 -7231Chase F 0054 0013 0157 0033 0804 0007 -2702LLoyds F 0033 0020 0043 0008 0821 0003 -5429BankBoston F 0036 0026 0060 0011 0888 0006 -1917Santander Brasil F 0055 0025 0115 0030 0864 0008 -1647Citibank F 0051 0020 0132 0025 0860 0003 -4735BNL F 0036 0026 0062 0012 0843 0005 -2959Sudameris F 0036 0031 0040 0004 0949 0011 -468Societe Generale F 0051 0018 0104 0024 0835 0007 -2454Europeu F 0034 0025 0041 0006 0859 0007 -2076ABC-Brasil F 0043 0026 0086 0015 0813 0003 -5797Dresdner F 0050 0014 0190 0046 0824 0004 -3975AGF Braseg F 0044 0024 0068 0014 0810 0005 -4109HSBC F 0052 0031 0110 0021 0948 0007 -776Deutsche F 0054 0012 0166 0030 0866 0005 -2754BNP Paribas F 0049 0028 0073 0013 0818 0004 -4092Barclays F 0065 0028 0121 0027 0811 0005 -4028Rabobank Int Brasil SA F 0047 0017 0102 0017 0845 0003 -4605B Nat de Paris Brasil SA F 0036 0017 0054 0013 0819 0005 -3304Ibibank SA - Banco Multiplo F 0043 0010 0114 0025 0782 0013 -1623Dresdner Bank - B Multiplo F 0096 0015 0270 0076 0785 0007 -2924Banco Westlb Do Brasil SA F 0041 0026 0062 0013 0853 0010 -154Banco GE Capital SA F 0054 0026 0253 0049 0862 0010 -1444B Com Uruguai SA F 0070 0017 0220 0058 0849 0003 -4471S - State-owned bank N - National bank and F - Foreign bank

44

Table A8 Estimates of Lerner index and return to scale by bank - Model (3)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0034 0090 0016 0941 0008 -772Banrisul S 0051 0032 0108 0016 0938 0008 -772BEC S 0035 0018 0051 0009 0856 0009 -1562BRB S 0052 0032 0122 0018 0958 0002 -1793BB S 0052 0035 0085 0015 0951 0006 -809Caixa Economica Federal S 0054 0039 0098 0014 1015 0003 465B da Amazonia SA S 0053 0014 0113 0024 0845 0008 -1977B do Estado Do Para SA S 0049 0028 0071 0010 0947 0005 -1117B do E do Maranhao SA S 0041 0032 0059 0008 0957 0015 -285B do E do Piauı SA - Bep S 0041 0028 0086 0014 0882 0005 -2518B do Estado De Sergipe SA S 0052 0021 0145 0022 0957 0004 -1182Nossa Caixa - N Banco SA S 0045 0029 0081 0015 0971 0005 -651Bradesco N 0052 0029 0101 0021 0893 0004 -2614Itau N 0054 0025 0203 0034 0872 0003 -4328Safra N 0048 0029 0093 0015 0869 0003 -5008Unibanco N 0041 0028 0067 0010 0874 0001 -8514Mercantil Do Brasil N 0053 0026 0095 0018 0939 0002 -29BBM N 0067 0013 0250 0056 0789 0005 -4501BMC N 0038 0024 0069 0010 0849 0003 -4408BMG N 0067 0015 0233 0058 0776 0004 -6374JMalucelli N 0052 0022 0087 0016 0720 0003 -9426PEBB N 0045 0014 0158 0040 0727 0009 -3192SS N 0057 0025 0231 0046 0797 0007 -287Sofisa N 0053 0018 0116 0026 0807 0002 -8444BIC N 0059 0030 0250 0049 0850 0006 -2596Schahin N 0048 0023 0220 0038 0842 0007 -2424Stock N 0083 0017 0304 0077 0838 0006 -2873Pine N 0049 0019 0105 0020 0810 0004 -5103Socopa N 0050 0026 0111 0018 0903 0003 -3253Intercap N 0055 0020 0196 0036 0828 0006 -283Indusval N 0062 0029 0282 0052 0863 0005 -2588Bonsucesso N 0051 0017 0118 0025 0789 0006 -3771Industrial do Brasil N 0046 0025 0086 0015 0815 0002 -8341Votorantim N 0050 0027 0128 0027 0809 0007 -2664Cacique N 0037 0020 0048 0009 0781 0005 -4645Inter Amex N 0039 0026 0058 0009 0842 0006 -2468Alfa N 0044 0031 0072 0011 0801 0002 -11998Rendimento N 0049 0022 0078 0011 0885 0008 -1463Bancoob N 0066 0057 0077 0007 0854 0003 -4342Original N 0102 0019 0301 0096 0730 0006 -4526Banco Intermedium SA N 0059 0027 0083 0020 0752 0006 -4354

Table A8 ndash Continue on next page

45

Table A8 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0017 0217 0054 0776 0003 -7084Banco BBN SA N 0038 0022 0058 0010 0831 0011 -1492B Cooperativo Sicredi SA N 0047 0035 0071 0010 0879 0005 -259B Cooperativo do Brasil SA N 0046 0035 0128 0020 0919 0006 -1339Banco Topazio SA N 0075 0036 0153 0041 0855 0005 -2657Banco Gerador SA N 0091 0057 0144 0034 0869 0008 -173Banco Randon SA N 0124 0029 0332 0112 0799 0005 -4023Parana Banco SA N 0036 0021 0071 0012 0797 0008 -2452Banco Triangulo SA N 0053 0023 0115 0027 0839 0004 -4256Banco Guanabara SA N 0047 0020 0100 0019 0790 0004 -561Banco Cedula SA N 0066 0012 0362 0068 0747 0003 -10082Banco Cacique SA N 0063 0026 0231 0074 0789 0016 -1336Banco Luso Brasileiro SA N 0066 0026 0249 0053 0865 0005 -2985Banco Pecunia SA N 0034 0029 0041 0004 0784 0003 -7038Banco Zogbi SA N 0036 0027 0046 0006 0782 0002 -13399Banco Daycoval SA N 0054 0019 0131 0034 0784 0004 -607Banco John Deere SA N 0039 0015 0083 0018 0761 0003 -8316Banco AJ Renner SA N 0049 0024 0073 0013 0840 0006 -2621ABN Amro F 0041 0030 0066 0009 0890 0002 -6866Chase F 0059 0013 0173 0039 0801 0007 -2733LLoyds F 0038 0021 0055 0010 0821 0003 -5484BankBoston F 0040 0028 0063 0012 0888 0006 -1931Santander Brasil F 0056 0028 0107 0027 0866 0008 -1663Citibank F 0052 0022 0123 0023 0860 0003 -4735BNL F 0039 0028 0063 0014 0841 0005 -2966Sudameris F 0041 0036 0052 0006 0948 0011 -473Societe Generale F 0052 0020 0103 0022 0833 0006 -2579Europeu F 0038 0030 0049 0007 0856 0007 -2153ABC-Brasil F 0046 0029 0079 0014 0813 0003 -5935Dresdner F 0055 0014 0212 0052 0822 0005 -3913AGF Braseg F 0046 0027 0071 0014 0806 0005 -4276HSBC F 0053 0032 0101 0019 0949 0007 -784Deutsche F 0058 0013 0141 0029 0863 0005 -2878BNP Paribas F 0051 0030 0074 0012 0818 0004 -4118Barclays F 0066 0025 0130 0030 0805 0005 -4123Rabobank Int Brasil SA F 0049 0019 0109 0018 0844 0003 -4752B Nat de Paris Brasil SA F 0041 0019 0069 0018 0817 0005 -3368Ibibank SA - Banco Multiplo F 0046 0010 0095 0021 0781 0014 -1617Dresdner Bank - B Multiplo F 0093 0017 0282 0072 0782 0008 -2899Banco Westlb Do Brasil SA F 0044 0027 0069 0015 0850 0009 -1591Banco GE Capital SA F 0055 0026 0249 0046 0859 0009 -1489B Com Uruguai SA F 0071 0017 0228 0056 0845 0003 -46241S - State-owned bank N - National bank and F - Foreign bank

46

Table A9 Estimates of Lerner index and return to scale by bank - Model (4)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0054 0041 0078 0011 0939 0007 -873Banrisul S 0055 0040 0106 0014 0948 0008 -692BEC S 0046 0020 0072 0014 0846 0009 -1746BRB S 0057 0032 0094 0016 0959 0002 -1673BB S 0057 0038 0095 0014 0981 0006 -33Caixa Economica Federal S 0061 0049 0165 0021 1042 0003 1249B da Amazonia SA S 0056 0015 0117 0022 0844 0008 -2047B do Estado Do Para SA S 0059 0025 0103 0020 0936 0004 -1701B do E Do Maranhao SA S 0052 0044 0062 0005 0936 0014 -448B do E Do Piauı SA - Bep S 0054 0029 0147 0028 0865 0004 -3201B do Estado De Sergipe SA S 0061 0023 0168 0026 0947 0004 -1484Nossa Caixa - N Banco SA S 0054 0035 0085 0012 0977 0004 -547Bradesco N 0056 0036 0107 0017 0919 0004 -2123Itau N 0058 0030 0212 0032 0896 0003 -3979Safra N 0052 0035 0107 0013 0882 0003 -445Unibanco N 0052 0035 0082 0013 0892 0001 -7446Mercantil Do Brasil N 0057 0027 0093 0015 0942 0002 -2687BBM N 0075 0015 0294 0064 0784 0005 -4512BMC N 0050 0029 0074 0011 0846 0003 -472BMG N 0065 0016 0202 0047 0779 0003 -7192JMalucelli N 0048 0022 0071 0014 0720 0003 -8923PEBB N 0061 0016 0172 0044 0704 0008 -382SS N 0056 0033 0213 0037 0799 0007 -2875Sofisa N 0053 0020 0087 0019 0805 0002 -9731BIC N 0061 0033 0269 0048 0854 0005 -2768Schahin N 0053 0027 0205 0034 0836 0006 -2627Stock N 0081 0020 0265 0068 0820 0006 -3122Pine N 0052 0022 0118 0021 0808 0004 -5467Socopa N 0054 0026 0114 0016 0888 0003 -3785Intercap N 0057 0023 0203 0035 0815 0006 -2877Indusval N 0062 0029 0239 0043 0857 0005 -3085Bonsucesso N 0052 0019 0088 0018 0782 0005 -403Industrial do Brasil N 0050 0030 0076 0015 0809 0002 -9427Votorantim N 0051 0036 0102 0017 0817 0008 -2222Cacique N 0050 0023 0067 0013 0776 0005 -4659Inter Amex N 0052 0035 0064 0009 0837 0007 -2226Alfa N 0048 0039 0071 0007 0805 0002 -11484Rendimento N 0052 0022 0076 0013 0874 0008 -1571Bancoob N 0057 0045 0071 0011 0855 0003 -5022Original N 0094 0017 0278 0090 0730 0006 -4242Banco Intermedium SA N 0049 0027 0065 0014 0746 0006 -4054

Table A9 ndash Continue on next page

47

Table A9 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0019 0220 0050 0764 0003 -7516Banco BBN SA N 0050 0027 0072 0013 0819 0012 -1529B Cooperativo Sicredi SA N 0051 0041 0068 0006 0875 0005 -2551B Cooperativo do Brasil SA N 0053 0044 0134 0018 0910 0006 -151Banco Topazio SA N 0066 0035 0128 0036 0837 0005 -2981Banco Gerador SA N 0082 0045 0157 0043 0854 0007 -1967Banco Randon SA N 0106 0026 0312 0105 0786 0005 -4204Parana Banco SA N 0048 0025 0102 0018 0787 0008 -2768Banco Triangulo SA N 0054 0027 0088 0021 0834 0004 -427Banco Guanabara SA N 0051 0023 0161 0025 0780 0004 -5659Banco Cedula SA N 0069 0012 0360 0065 0735 0003 -1028Banco Cacique SA N 0073 0027 0240 0075 0786 0016 -1327Banco Luso Brasileiro SA N 0065 0026 0242 0047 0852 0004 -346Banco Pecunia SA N 0045 0037 0056 0006 0773 0003 -7139Banco Zogbi SA N 0048 0036 0064 0010 0779 0001 -15057Banco Daycoval SA N 0055 0022 0126 0030 0784 0004 -568Banco John Deere SA N 0056 0018 0125 0031 0757 0003 -8084Banco AJ Renner SA N 0051 0025 0077 0013 0829 0006 -2763ABN Amro F 0053 0038 0074 0013 0909 0002 -4803Chase F 0066 0014 0220 0046 0793 0008 -2711LLoyds F 0050 0026 0060 0011 0825 0003 -5323BankBoston F 0054 0038 0092 0018 0899 0006 -1734Santander Brasil F 0056 0033 0098 0019 0885 0007 -1529Citibank F 0059 0025 0145 0030 0872 0003 -421BNL F 0052 0039 0091 0018 0840 0006 -2854Sudameris F 0053 0046 0062 0005 0961 0011 -352Societe Generale F 0058 0023 0144 0028 0827 0006 -2968Europeu F 0052 0031 0069 0012 0849 0007 -23ABC-Brasil F 0051 0028 0091 0015 0815 0003 -6225Dresdner F 0078 0017 0271 0071 0816 0005 -339AGF Braseg F 0050 0030 0094 0015 0797 0004 -4873HSBC F 0057 0045 0116 0016 0966 0006 -562Deutsche F 0066 0013 0151 0034 0858 0004 -3316BNP Paribas F 0050 0036 0071 0010 0823 0005 -3772Barclays F 0057 0024 0102 0025 0777 0007 -3003Rabobank Int Brasil SA F 0057 0021 0157 0026 0842 0003 -5266B Nat de Paris Brasil SA F 0059 0023 0102 0030 0812 0006 -3387Ibibank SA - Banco Multiplo F 0056 0012 0100 0023 0781 0015 -148Dresdner Bank - B Multiplo F 0084 0016 0237 0064 0771 0008 -2798Banco Westlb Do Brasil SA F 0061 0033 0101 0025 0841 0010 -1646Banco GE Capital SA F 0063 0031 0238 0044 0853 0010 -1548B Com Uruguai SA F 0074 0020 0226 0056 0833 0003 -51921S - State-owned bank N - National bank and F - Foreign bank

48

Table A10 Estimates of Lerner index and return to scale by bank - Model (5)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0043 0093 0012 0940 0007 -834Banrisul S 0054 0041 0083 0009 0949 0008 -668BEC S 0046 0020 0075 0014 0846 0009 -1719BRB S 0058 0032 0121 0017 0960 0002 -1607BB S 0056 0037 0087 0010 0981 0006 -321Caixa Economica Federal S 0061 0050 0156 0019 1044 0003 1282B da Amazonia SA S 0057 0016 0115 0023 0843 0008 -2023B do Estado Do Para SA S 0059 0027 0102 0020 0938 0004 -1608B do E Do Maranhao SA S 0052 0042 0064 0006 0939 0015 -418B do E Do Piauı SA - Bep S 0054 0029 0138 0025 0866 0004 -3097B do Estado De Sergipe SA S 0059 0024 0136 0020 0949 0004 -1404Nossa Caixa - N Banco SA S 0055 0036 0088 0013 0979 0004 -494Bradesco N 0056 0037 0108 0016 0918 0004 -2108Itau N 0058 0031 0213 0033 0894 0003 -3968Safra N 0052 0036 0086 0010 0881 0003 -4388Unibanco N 0053 0037 0085 0013 0892 0001 -7433Mercantil Do Brasil N 0057 0027 0086 0012 0943 0002 -2619BBM N 0075 0015 0292 0063 0784 0005 -447BMC N 0050 0029 0077 0012 0846 0003 -4648BMG N 0067 0017 0220 0051 0777 0003 -7116JMalucelli N 0049 0022 0083 0016 0718 0003 -8879PEBB N 0060 0017 0176 0044 0704 0008 -3743SS N 0059 0032 0223 0041 0798 0007 -2847Sofisa N 0055 0021 0112 0022 0804 0002 -9624BIC N 0060 0032 0238 0041 0853 0005 -2725Schahin N 0055 0028 0228 0038 0836 0006 -2575Stock N 0082 0019 0267 0068 0821 0006 -3063Pine N 0052 0022 0096 0018 0808 0004 -5392Socopa N 0055 0027 0113 0016 0889 0003 -3694Intercap N 0060 0023 0210 0037 0814 0006 -2856Indusval N 0062 0029 0245 0044 0857 0005 -3023Bonsucesso N 0053 0020 0113 0022 0781 0005 -3999Industrial do Brasil N 0051 0030 0084 0016 0808 0002 -9274Votorantim N 0052 0037 0130 0022 0816 0008 -2227Cacique N 0049 0024 0065 0012 0775 0005 -4632Inter Amex N 0052 0034 0067 0011 0837 0007 -2236Alfa N 0047 0041 0056 0004 0804 0002 -11448Rendimento N 0053 0022 0079 0011 0874 0008 -1549Bancoob N 0056 0050 0064 0005 0856 0003 -4874Original N 0087 0018 0288 0093 0728 0006 -4259Banco Intermedium SA N 0055 0027 0078 0019 0744 0006 -4047

Table A10 ndash Continue on next page

49

Table A10 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0217 0048 0763 0003 -7417Banco BBN SA N 0051 0026 0075 0014 0820 0012 -1504B Cooperativo Sicredi SA N 0051 0040 0061 0005 0876 0005 -2499B Cooperativo do Brasil SA N 0054 0043 0136 0019 0912 0006 -1445Banco Topazio SA N 0061 0034 0109 0026 0838 0006 -2897Banco Gerador SA N 0073 0052 0124 0026 0855 0008 -1918Banco Randon SA N 0120 0024 0327 0114 0785 0005 -4153Parana Banco SA N 0048 0026 0106 0020 0786 0008 -2732Banco Triangulo SA N 0055 0027 0111 0022 0834 0004 -4227Banco Guanabara SA N 0052 0024 0153 0024 0779 0004 -5589Banco Cedula SA N 0069 0012 0339 0062 0734 0003 -10232Banco Cacique SA N 0076 0027 0246 0076 0785 0016 -1317Banco Luso Brasileiro SA N 0067 0027 0207 0047 0852 0004 -3379Banco Pecunia SA N 0046 0038 0054 0006 0773 0003 -71Banco Zogbi SA N 0047 0037 0061 0010 0778 0001 -14931Banco Daycoval SA N 0054 0022 0126 0026 0782 0004 -5661Banco John Deere SA N 0056 0018 0129 0031 0756 0003 -8043Banco AJ Renner SA N 0053 0025 0080 0015 0829 0006 -2716ABN Amro F 0053 0038 0074 0012 0908 0002 -4751Chase F 0067 0014 0225 0047 0792 0008 -2693LLoyds F 0049 0025 0064 0012 0824 0003 -5227BankBoston F 0054 0037 0096 0020 0899 0006 -1701Santander Brasil F 0057 0033 0103 0019 0884 0008 -1511Citibank F 0059 0026 0154 0028 0871 0003 -4204BNL F 0052 0037 0097 0020 0840 0006 -28Sudameris F 0052 0045 0058 0005 0962 0011 -334Societe Generale F 0060 0023 0151 0031 0827 0006 -2924Europeu F 0050 0032 0066 0012 0849 0007 -2263ABC-Brasil F 0051 0025 0079 0014 0814 0003 -617Dresdner F 0080 0017 0276 0073 0816 0005 -3374AGF Braseg F 0050 0031 0093 0015 0796 0004 -4812HSBC F 0057 0043 0093 0011 0966 0006 -541Deutsche F 0066 0013 0155 0035 0858 0004 -3244BNP Paribas F 0050 0035 0067 0008 0822 0005 -3775Barclays F 0056 0024 0113 0025 0778 0007 -305Rabobank Int Brasil SA F 0057 0021 0163 0027 0842 0003 -5208B Nat de Paris Brasil SA F 0058 0022 0100 0029 0812 0006 -3343Ibibank SA - Banco Multiplo F 0057 0012 0099 0023 0780 0015 -1478Dresdner Bank - B Multiplo F 0087 0016 0244 0068 0770 0008 -2768Banco Westlb Do Brasil SA F 0063 0034 0106 0026 0841 0010 -1625Banco GE Capital SA F 0064 0032 0247 0046 0853 0010 -1522B Com Uruguai SA F 0073 0019 0191 0049 0833 0003 -50981S - State-owned bank N - National bank and F - Foreign bank

50

Table A11 Estimates of Lerner index and return to scale by bank - Model (6)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0036 0096 0015 0939 0007 -855Banrisul S 0050 0035 0098 0014 0938 0008 -82BEC S 0041 0019 0067 0012 0855 0009 -1644BRB S 0053 0029 0124 0018 0956 0002 -1996BB S 0051 0032 0088 0013 0954 0006 -807Caixa Economica Federal S 0054 0040 0094 0012 1014 0003 475B da Amazonia SA S 0053 0015 0103 0022 0846 0008 -205B do Estado Do Para SA S 0051 0028 0074 0013 0943 0004 -1319B do E Do Maranhao SA S 0041 0031 0059 0008 0950 0014 -346B do E Do Piauı SA - Bep S 0042 0028 0084 0012 0879 0004 -2727B do Estado De Sergipe SA S 0052 0022 0153 0022 0953 0003 -1377Nossa Caixa - N Banco SA S 0047 0032 0081 0014 0969 0004 -74Bradesco N 0052 0032 0097 0019 0898 0004 -2645Itau N 0054 0027 0190 0031 0877 0003 -4452Safra N 0049 0032 0100 0015 0872 0003 -5056Unibanco N 0043 0032 0067 0010 0878 0001 -8666Mercantil Do Brasil N 0053 0026 0087 0017 0938 0002 -3104BBM N 0066 0013 0251 0056 0792 0005 -4556BMC N 0041 0026 0069 0011 0850 0003 -4582BMG N 0067 0016 0228 0057 0781 0003 -6611JMalucelli N 0051 0022 0089 0017 0725 0003 -9344PEBB N 0046 0015 0157 0039 0728 0008 -3313SS N 0058 0025 0230 0046 0801 0007 -292Sofisa N 0053 0020 0119 0025 0809 0002 -8846BIC N 0060 0029 0262 0049 0852 0005 -2697Schahin N 0049 0025 0229 0040 0843 0006 -2523Stock N 0081 0017 0284 0072 0836 0005 -2986Pine N 0049 0021 0112 0019 0812 0004 -5267Socopa N 0050 0026 0095 0015 0900 0003 -3515Intercap N 0055 0021 0196 0035 0828 0006 -2899Indusval N 0061 0029 0262 0049 0863 0005 -2762Bonsucesso N 0052 0019 0123 0026 0791 0005 -3885Industrial do Brasil N 0046 0027 0088 0015 0816 0002 -8698Votorantim N 0051 0027 0139 0027 0813 0007 -262Cacique N 0039 0022 0050 0009 0784 0005 -4707Inter Amex N 0045 0027 0064 0012 0843 0006 -2493Alfa N 0044 0033 0068 0009 0805 0002 -12111Rendimento N 0050 0022 0073 0010 0883 0008 -1543Bancoob N 0066 0055 0072 0007 0856 0003 -4559Original N 0098 0020 0294 0094 0735 0006 -4509Banco Intermedium SA N 0057 0024 0085 0022 0756 0006 -4324

Table A11 ndash Continue on next page

51

Table A11 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0061 0017 0195 0048 0777 0003 -7233Banco BBN SA N 0042 0023 0059 0012 0831 0011 -1529B Cooperativo Sicredi SA N 0048 0035 0066 0009 0879 0005 -2672B Cooperativo do Brasil SA N 0046 0034 0119 0017 0917 0006 -1439Banco Topazio SA N 0070 0031 0129 0036 0853 0005 -2776Banco Gerador SA N 0086 0057 0148 0034 0867 0007 -1825Banco Randon SA N 0126 0028 0331 0114 0799 0005 -4136Parana Banco SA N 0039 0023 0082 0015 0798 0008 -2556Banco Triangulo SA N 0052 0025 0116 0025 0840 0004 -4363Banco Guanabara SA N 0048 0021 0100 0019 0792 0004 -5683Banco Cedula SA N 0067 0013 0356 0067 0749 0002 -10205Banco Cacique SA N 0067 0026 0232 0073 0792 0015 -1356Banco Luso Brasileiro SA N 0065 0025 0237 0052 0864 0004 -3163Banco Pecunia SA N 0037 0029 0045 0006 0786 0003 -7158Banco Zogbi SA N 0037 0027 0045 0007 0785 0002 -13921Banco Daycoval SA N 0053 0020 0120 0031 0787 0003 -6088Banco John Deere SA N 0043 0017 0099 0022 0764 0003 -8346Banco AJ Renner SA N 0050 0025 0080 0013 0840 0006 -2706ABN Amro F 0043 0035 0067 0008 0894 0002 -6685Chase F 0059 0014 0189 0040 0803 0007 -2772LLoyds F 0039 0021 0055 0012 0824 0003 -5536BankBoston F 0044 0029 0075 0015 0890 0006 -1965Santander Brasil F 0054 0028 0107 0024 0871 0008 -1694Citibank F 0054 0023 0133 0026 0863 0003 -4787BNL F 0042 0028 0078 0018 0843 0005 -2998Sudameris F 0041 0036 0052 0006 0948 0010 -491Societe Generale F 0054 0020 0118 0025 0834 0006 -2716Europeu F 0038 0029 0049 0008 0856 0006 -2239ABC-Brasil F 0046 0028 0084 0014 0816 0003 -6111Dresdner F 0063 0015 0239 0061 0823 0005 -3888AGF Braseg F 0047 0027 0074 0014 0807 0004 -4477HSBC F 0054 0032 0109 0018 0950 0006 -823Deutsche F 0058 0013 0122 0028 0863 0004 -305BNP Paribas F 0051 0032 0070 0011 0822 0004 -4145Barclays F 0064 0024 0128 0029 0802 0005 -4051Rabobank Int Brasil SA F 0051 0019 0130 0021 0846 0003 -4992B Nat de Paris Brasil SA F 0043 0019 0070 0019 0819 0005 -3429Ibibank SA - Banco Multiplo F 0049 0010 0083 0020 0785 0013 -161Dresdner Bank - B Multiplo F 0087 0016 0261 0066 0783 0007 -2901Banco Westlb Do Brasil SA F 0051 0030 0082 0019 0850 0009 -1643Banco GE Capital SA F 0053 0028 0239 0044 0859 0009 -1544B Com Uruguai SA F 0071 0017 0217 0054 0845 0003 -48451S - State-owned bank N - National bank and F - Foreign bank

52

Seacuterie de Textos para Discussatildeo do Curso de Ciecircncias Econocircmicas ndash FACEUFG ndash TD [078]

EDITORIAL FACE ndash Faculdade de Administraccedilatildeo Ciecircncias Contaacutebeis e Ciecircncias Econocircmicas Curso de Ciecircncias Econocircmicas Direccedilatildeo FACE Prof Moiseacutes Ferreira da Cunha Vice-Direccedilatildeo FACE Profordf Andreacutea Freire de Lucena Coordenaccedilatildeo do Curso de Ciecircncias Econocircmicas Prof Tiago Camarinha Lopes NEPEC ndash Nuacutecleo de Estudos e Pesquisas Econocircmicas Coordenaccedilatildeo Prof Seacutergio Fornazier Meyrelles Filho SEacuteRIE DE TEXTOS PARA DISCUSSAtildeO DO CURSO DE CIEcircNCIAS ECONOcircMICAS DA UFG Coordenaccedilatildeo e Equipe de Editoraccedilatildeo Prof Sandro Eduardo Monsueto Adriana Moura Guimaratildees Matheus Henrique de Arauacutejo Dutra

Endereccedilo Campus Samambaia Preacutedio da FACE ndash Rodovia GoiacircniaNova Veneza km 0 ndash CEP 74690-900 Goiacircnia ndash GO Tel (62) 3521 ndash 1390 URL httpwwwfaceufgbreconomia Publicaccedilatildeo cujo objetivo eacute divulgar resultados de estudos que contam com a participaccedilatildeo de pesquisadores do NEPEC As opiniotildees contidas nesta publicaccedilatildeo satildeo de inteira responsabilidade do(s) autor(es) natildeo representando necessariamente o ponto de vista do NEPEC ou da FACEUFG Eacute permitida a reproduccedilatildeo desde que citada a fonte

Page 3: 1(3(& )$&( 8)* · The Dark Side of Prudential MeasuresI Paulo R. Scalco a, Benjamin M. Tabak1, Anderson M. Teixeira aFaculty of Management, Accounting and Economics, Federal University

The Dark Side of Prudential MeasuresI

Paulo R Scalcoa Benjamin M Tabak1 Anderson M Teixeiraa

aFaculty of Management Accounting and Economics Federal University of Goias - FACEUFG BrazilbEscola de Polıticas Publicas e Governo Fundacao Getulio Vargas - FGVEPPG (School of Public Policy

and Government Getulio Vargas Foundation - FGV) Brasılia Brazil

Abstract

In the aftermath of the financial crisis of 2008 and 2009 there is a series of changes in the

scenario of financial regulation Globally several macroprudential measures that seek to

limit systemic risk are currently in use We evaluated the effect of these measures on the

market power of banks in the Brazilian case in which there was a process of great banking

concentration that coexists with high bank spreads Using an innovative methodology we

show that the effect of macroprudential measures is to reduce bank competition by increasing

the market power of banks It is essential that financial regulators consider this adverse effect

in the design of a financial regulation that not only aims at financial stability but also a

more competitive banking system

Keywords Bank Regulation Prudential Measures Market Power Lerner Index

Stochastic Frontier

IPaulo R Scalco (Grant no 4210782018-9) Benjamin M Tabak (Grant no 3054272014-8) andAnderson M Teixeira (Grant no4021702016-4) gratefully acknowledge financial support from the CNPqfoundation

Email addresses scalcoufgbr (Paulo R Scalco) benjamintabkgmailcom (Benjamin MTabak) andersonmutterteixeiragmailcom (Anderson M Teixeira)

Preprint submitted to Elsevier June 27 2019

1 Introduction

The financial crisis that hit the economies of the world from 2007 to 2009 reinvigorated

the debate on how to regulate banks and other financial institutions to ensure financial

stability Before the global financial crisis (GFC) financial regulation for banks and other

financial intermediaries was focused on instruments aimed at reducing the risk of bankruptcy

ie microprudential measures However as seen in the GFC the bankruptcy of a large

financial institution (FI) put at risk the solvency of the system as a whole and raised concerns

about global financial stability Since then systemic risk became the focus of financial

regulation - macroprudential measures

The implementation of this new set of micro and macroprudential measures has raised

several challenges for assessing the impact of such measures on banks and the financial

system as a whole and spurred a vast literature on the subject One of the main challenges

is to evaluate the effectiveness of macroprudential policies concerning the central objective

of increasing resilience Besides that to smooth the business cycles of the financial system

(Claessens et al 2013 Claessens amp Laeven 2004 Cerutti et al 2017a Jimenez et al 2017

Altunbas et al 2018 Ely et al 2019 Klingelhoger amp Sun 2019 Richter et al 2019)

To the best of our knowledge we note that most of the research focuses on analyzing

the impact of prudential measures (micro and macroprudential) on bank loans risk-taking

behavior of the FI or transmission of monetary policies however not directly on the (in)

efficiency of the credit market There are few exceptions The first is the work of Cubillas

amp Suarez (2018) that investigates the negative impact of the GFC on the availability of

credit and find that the increase of the banksrsquo market power neutralized this effect The

relevant fact of this study is that this neutralizing effect on the availability of credit caused

by the increase in market power is more significant in countries with fewer restrictions on

the activities of banks or less power of official supervision of financial institutions

The second is Ayyagari et al (2018) combining balance sheet data on 900000 firms

from 48 countries between 2003 and 2011 with detailed data on the use of macroprudential

policy instruments The main result indicate that macroprudential policies are negatively

2

associated with firm financing growth

In light of this situation this article in a pioneering way investigates the influence of

some prudential measures (micro and macroprudential) on the market power of Brazilian

banks using a new class of market power estimation models based on border techniques

(Stochastic Frontier Analysis - SFA) initially proposed by Kumbhakar et al (2012)

The central hypothesis formulated in this paper is that prudential rules to which FIs are

subject may affect banks market power According to Claessens amp Laeven (2004) any policy

that restricts banking activity and makes it challenging to operate has negative impacts on

market competition since it enables large banks to increase their market power Therefore

a strict prudential regulatory framework could affect concentration indices and influence the

market power of FIs since the implementation of Basel I agreements in 1988

Our main contribution is to demonstrate that tightening on prudential measures has

a positive impact on bank mark-ups and therefore detrimental effects on competition in

the Brazilian banking industry Although not wholly comparable intuitively our results

are contrary to those of Cubillas amp Suarez (2018) A second empirical verification was to

establish a positive relationship between concentration and mark-up in the same sense estab-

lished by the traditional structure-conduct-performance paradigm of industrial organization

literature

Another contribution concerns the empirical method For the first time we employ

SFA models to estimate market power for Brazilian banks on an individual basis With

the estimation of the Lerner indexes for each bank it is possible to evaluate the market

power according to ownership and to verify that state-owned banks have market power

slightly lower than the private banks and foreign banks respectively Finally we also obtain

estimates of returns to scale that provides some evidence that Brazilrsquos financial institutions

operate with decreasing returns to scale

Although there is a large body of literature that shows the positive effects of prudential

measures ndash micro and macro ndash there is scarce literature that discusses the adverse effects of

these policies Most of the literature focuses on the effectiveness of these measures (Claessens

et al 2013 Cerutti et al 2017ab Jimenez et al 2017 Altunbas et al 2018 Ely et al

3

2019 Klingelhoger amp Sun 2019 Richter et al 2019) We present evidence that this effect

comes with a cost This reult is even more true for countries with imperfect credit markets

such as Brazil in which banking spreads are very high in real terms

We organize the remainder of the paper as follows In section two we present related

literature We present the empirical model in section three while we describe the database

and the empirical strategy in section four In the fifth section we present our main results

and in the sixth and last section we present our final considerations

2 Brief Literature Review

We can divide the literature related to our article into two groups The first group focuses

on the effectiveness of prudential measures while the second focuses on the traditional

literature of industrial organization more specifically on the estimation of market power

Before GFC the focus of financial regulation for banks and other financial intermediaries

was on instruments aimed at reducing the risk of bankruptcy ie measures of a micropru-

dential nature and not on the financial system as a whole However as seen in the GFC the

bankruptcy of a large FI put at risk the solvency of the system as a whole When a large

FI fails there is potential for amplification and contagion in the banking system These

effects may lead to cascade failures in the financial system which can provoke a significant

shock that affects the real sector adversely In order to account for the interconnections that

may exist between financial system players financial regulation changed its focus to curb

systemic risk using macroprudential measures

The works of Moreno (2011) Galati amp Moessner (2013) Lim et al (2011) Claessens

et al (2013) Claessens (2015) and Freixas et al (2015) summarize the main prudential

instruments (microprudential and macroprudential) implemented by developed and devel-

oping countries Also they present their meaning and purpose to mitigate the probability

of bankruptcy of FIs and the systemic risk arising from the procyclicality and the intercon-

nectivity between FIs

Among the empirical studies Lim et al (2011) analyze the links between macroprudential

policies and the development of the credit market and bank leverage They find evidence

4

suggesting that the presence of policies such as limits on maximum loan value (LTV) limits of

indebtedness (DTI) limits of credit growth capital reserve requirements and dynamic rules

of provisioning are associated with reductions in the procyclicality of credit and leverage

Claessens et al (2013) investigate how the change in the individual balance sheets of

banks in 48 countries in the period 2000-2010 responds to specific changes in some macro-

legal measures Among the main results the authors show that the maximum limits of

LTV DTI and the maximum limits of foreign currency lending are effective in reducing the

growth of bank leverage and the price of assets

Aiyar et al (2014) show that in response to stricter capital requirements (capital re-

quirement) regulated banks reduce borrowing while unregulated banks may even increase

Gropp et al (2018) study the requirement for higher capital requirements Its results point

to a reduction in credit and a smaller search for capital to meet the new targets Auer

amp Ongena (2019) find that an additional capital requirement on real estate loans leads to

growth in the retail lending channel

In addition to this empirical evidence Cerutti et al (2017a) using an IMF survey cover-

ing the use of twelve macroprudential measures in 119 countries over the period 2000-2013

indicate that in general emerging countries use intensely such instruments Also instru-

ments such as LTV and others that limit the level of indebtedness are associated with the

decline in credit growth especially real estate lending

Other studies however focusing on a few prudential measures and for few countries also

stand out Igan amp Kang (2011) investigate only the effectiveness of LTV and DTI measures

in Korea Wong et al (2011) also use only the LTV and DTI measures to investigate the

behavior of real estate credit and real estate prices in Hong Kong Camors amp Peydro (2014)

investigate the effect of capital withdrawal in Uruguay in the year 2008 Aiyar et al (2014)

also investigate the capital requirement for UK banks and confirm a substantial effect on

the bank loan Finally more recently Altunbas et al (2018) direct the investigation of the

effectiveness of macroprudential measures for the risk behavior of banks

Overall this literature shows that for different countries samples and prudential mea-

sures there is a positive effect on systemic risk Countries that implement these measures

5

can reduce their lending growth to more sustainable levels and improve their financial sta-

bility However what is the costs of these measures Is there a trade-off in using such

measures We now discuss the market power and bank competition literature to assess the

second strand of the literature that helps us make our connection

In the competition-related literature in the banking industry research models and ap-

proaches generally have a limitation due to the structure and availability of data However

the model of Panzar amp Rosse (1987) - PR - is a standard method when one wants to evaluate

the degree of competition in the industry Only in Brazil we can cite the works of Belaisch

(2003) Araujo amp Jorge Neto (2007) Lucinda (2010) Tabak et al (2012) Silva Barbosa

et al (2015) Tabak amp Gomes (2015) and Cardoso et al (2016) In our investigation we

found only two other studies that did not use the PR model Nakane (2002) uses a structural

model as proposed by Bresnahan amp Reiss (1991) and Coelho et al (2013) use a bank entry

model developed by Bresnahan (1982) Internationally the literature is vast and Bikker

et al (2012) offers a comprehensive survey of the literature developed around the world

Most papers that use the PR H-statistic assume it has a monotonic relationship with

bank competition Panzar amp Rosse (1987) did not establish this monotonic relation between

H-Statistic and the degree of market competition The magnitude of the H-Statistic relates

to ranges of values that refer to the hypothesis underlying the market structure Thus it does

not represent a monotonic relationship with the degree of market power (Panzar amp Rosse

1987 Bikker et al 2012 Cardoso et al 2016) Another problem is that the hypotheses

underlying the equilibria of monopolistic and perfect competition in the PR model use

another extremely restrictive set of hypotheses An important one is that the observed data

is from firms that operate in long-term equilibrium Also the model is susceptible to the

variables used and the specification used in the estimation process of the model (Hyde amp

Perloff 1995) Bikker et al (2012) are more emphatic and argue that the H-Statistic does

not even have an ordinal function with the level of competition in the industry

Given that what the evidence suggests is that H-statistics is not a reliable measure of

the degree of market power in an industry At least not in a continuous sense or monotonic

of measure Hyde amp Perloff (1995) emphasize that although structural models have some

6

influence on the specifications of their functions they would still be the only models capable

of providing an estimate of the degree of market power

Given this context we will use a new class of models to measure the degree of market

power proposed by Kumbhakar et al (2012) and based on stochastic boundary analysis

techniques (SFA) The SFA models have several advantages when compared to the traditional

models of literature known as New Industrial Empirical Organization (NEIO) and allow

estimating in a single model a unified structure a mark-up measure and an indicator of

market power Also we can obtain measures of elasticity return to scale and efficiency

Among the main advantages of SFA models it is possible to emphasize the flexibility

and the low requirement of information for estimations of the models The method also

allows estimating market power with or without constant returns to scale and provides an

estimate of the degree of market power in the same style as the Lerner index (Lerner 1934)

thereby circumventing the critique of the use of H as a monotonic measure of the degree

of competition Another advantage of the method is that unlike most NEIO models this

measure of market power is not only an estimate of the average parameter of the competition

level of the industry but the method also allows estimating a measure of the degree of market

power per bank and over time In the same way it is possible to estimate the returns to

the banksrsquo scale Finally the SFA technique allows the parameter of market power to be a

function of deterministic variables

One of the pioneering works using SFA techniques in the banking industry is the work

of Coccorese (2014) In this article the author estimates the Lerner index for each bank

individually for a group of countries between 1994 and 2012 with the results being broadly

comparable with the traditional NEIO models More recently Das amp Kumbhakar (2016)

have also used this class of models to investigate the market power of Indian banks

We use this model to evaluate the effect of prudential measures on the bankrsquos market

power Combining an SFA method with data on prudential measures we can estimate these

effects We use prudential measures as explanatory variables for the market power parameter

that we estimate in the SFA

7

3 Empirical Method

31 Empirical Model

Our empirical model follows the models proposed by Coccorese (2014) and Das amp Kumb-

hakar (2016) However we incorporate the possibility that the mark-up has two components

a purely stochastic and a deterministic part The derivation of the model starts from the

equilibrium condition that for a profit-maximizing bank (P ) will be greater than or equal

to its Marginal Cost (MC)

P geMC (1)

The distance between P and MC determines the degree of market power of the bank

If we multiply both terms of the inequality in equation 1 by the ratio of the total product

(Y ) and the total cost (C) and considering that MC = partCpartY

we have

P middot YCge partC

partY

Y

C (2)

or

TR

Cge partlnC

partlnY (3)

Where TR corresponds to the total revenue and the relationship established in equation 3

states that in the same way as price deviates from its marginal cost the revenue-cost ratio

of the bank (TRC) detracts from its cost-elasticity

The inequality in equation 3 can be solved by adding a non-negative term u Thus

RC equiv TR

C=

partlnC

partlnY+ u u ge 0 (4)

RC is the observed revenue-cost ratio and partlnCpartlnY

is the cost-elasticity The non-negative

term u represents the mark-up of the bank however it can not be calculated using the

bankrsquos accounting data because the cost elasticity unlike RC must be calculated from a cost

8

function In addition the revenue-cost ratio can be affected by other unobserved variables

To accommodate this assumption we add a random error term iid v to equation 4

RC =partlnC

partlnY+ u+ v (5)

32 Primal Approach

As equation 5 has been defined we need to specify a cost function to estimate the term

u that is we are using a dual approach in the context of production theory Kumbhakar

et al (2012) show however that SFA models can use both the dual and primal approaches

to estimate market power In the dual approach the total cost of the bank depends on

the output quantity and input prices and the primal approach we can specify a produc-

tion function (or an input-distance function) where the output is a function of only input

quantities

This flexibility is essential because unlike many examples in the banking industry we do

not have information available on input prices When empirical models need this informa-

tion such as the PR model for example researchers circumvent this problem by estimating

input price estimates from accounting information such as the ratio between expenditure

and the amount of input used (expenditure on staff on total assets for example) The use

of this artifice however as highlighted by Kumbhakar et al (2012) can generate problems

in situations where the amount of input is endogenous

Thus like Das amp Kumbhakar (2016) we use the primal form as an alternative to the dual

form We start from the specification of a transformation function defined as Af(x Y T ) =

1 where f(middot) is a production function for a given technology Y is the quantity produced x

is the quantity vector of inputs used T is a trend variable capturing technological changes

and A is a parameter of neutral technological shift

Using a set of appropriate identification restrictions (Kumbhakar 2012) we can derive a

function input distance (IDF) from the transformation function given by xJ = Ah(x Y T )

or lnxJ = Ah(ln x lnY T ) where xj =xj

xJ j = 1 2 J minus 1 The IDF uses the normal-

ization that f(x Y T ) is homogeneous of degree minus1 iesum

jpartlnfpartlnxj

= minus1

9

Assuming that banks minimize the cost subject to technology specified by the production

function the Lagrangian for the minimization can be defined as

L = wrsquox + λ(Af(x Y T )minus 1) (6)

where w is a vector of input prices and the corresponding first order condition is

wj = minusλApartf(middot)partxj

j = 1 2 J (7)

Multiplying and dividing both sides by xj and f(middot) and rearranging terms we can

rewrite 7 as

wjxj = minusλAf(middot)partf(middot)partxj

xjf(middot)

= minusλAf(middot)partlnf(middot)partlnxj

j = 1 2 J (8)

If we take the sum of all inputs equation 8 becomes

C =Jsum

j=1

wjxj = minusλAf(middot)Jsum

j=1

partlnf(middot)partlnxj

rArr minusλA =C

f(middot)middot 1sumJ

j=1partlnf(middot)partlnxj

(9)

From the envelop Theorem we have that the marginal cost (MC) is partLpartYequiv MC =

λApartf(middot)partY

= 0

If we use equation 9 we can express it as

MC = minus C

f(middot)middot 1sumJ

j=1partlnf(middot)partlnxj

middot partf(middot)partY

partC

party

Y

Cequiv partlnC

partlny= minuspartf(middot)

partY

Y

f(middot)middot 1sumJ

j=1partlnf(middot)partlnxj

EC equivpartlnC

partlny= minuspartlnf(middot)

partlnYmiddot 1sumJ

j=1partlnf(middot)partlnxj

=partlnf(middot)partlnY

equiv EY (10)

Equation 10 states that the Cost Elasticity (EC) equals Product elasticity (EY ) which

can be calculated from the parameters of the distance input function (IDF) This result

10

is important because it means that we can substitute the term on the right side of the

equation 5 by product elasticity that is

RC =partlnf(middot)partlny

+ u+ v u ge 0 (11)

The advantage of estimating equation 11 rather than equation 5 is that we can estimate

mark-ups without the need for input and output prices that is we only need the information

on revenue and total cost of banks and the respective input quantities

In order to estimate the mark-up defined in equation 11 we assume that the transforma-

tion function takes a form of the translog type and apply the appropriate normalizations as

in Kumbhakar (2012) to express the transformation function in the form of an input input

function given by

lnx1 = α0 +Jminus1sumj=1

αjlnxj +1

2

Jminus1sumj=1

Jsumk=2

αjklnxjlnxk

+ αY lnY +1

2αY Y (lnY )2 +

Jminus1sumj=1

αjY lnxjlnY+ + αTT +1

2αTTT

2

+Jminus1sumj=1

αjT lnxjT + αY TT lnY

(12)

from which we can derive the product-elasticity as

EY equivpartlnx1partlnY

= αY + αY Y lnY +Jminus1sumj=1

αjY lnxj + αY TT (13)

where xj =xj

xJ j = 1 2 J minus 1

Replacing equation 13 in equation 11 we define our empirical equation as

RC = αY + αY Y lnY +Jminus1sumj=1

αjY lnxj + αY TT + u+ v (14)

As highlighted by Kumbhakar et al (2012) once that we are interested in estimating

the individual mark-up of each bank we need to focus only on 14 without the need to

11

estimate the full distance input function defined by 12 Besides since the compound error

term (ε = u + v) is the same in the SFA models we use the Maximum Likelihood method

to estimate the model (14) For this it is necessary to assume a hypothesis about the

distribution of the two components

We follow the literature and assume that the random error component v is independent

and identically distributed with a normal distribution zero mean and constant variance

that is v sim N(0 σ2v) On the other hand for the nonnegative component u representing

the banksrsquo mark-up we extend the models of by Coccorese (2014) and Das amp Kumbhakar

(2016) and separating the deviation from the competitive frontier in a deterministic part

which is a function of a vector of explanatory variables Zrsquo of the purely stochastic part

Following the SFA literature we estimate the deterministic component of mark-up si-

multaneously with the parameters of the 14 in the same way as Lopez et al (2018) This

procedure reduces possibility of bias of the estimates when the stochastic term includes

determinants of deviations Thus the mark-up (u) in 14 can be represented by

u = Zrsquoδ + ω (15)

where ω is the stochastic component of mark-up and is defined by a truncated normal

distribution with zero mean and constant variance σ2ω such that ω ge -Zrsquoδ Therefore the

mark-up (u) follows a distribution u sim N+(Zrsquoδ σ2ω)

Combining equations 14 and 15 the model we estimate is as follows

RC = αY + αY Y lnY +Jminus1sumj=1

αjY lnxj + αY TT + Zrsquoδ + ωit + v (16)

In order to verify the impact of prudential measures on the degree of competition we

have included the measures Cerutti et al (2016) as determinants of mark-up in addition to

a measure of concentration represented by the HHI calculated from the total assets of the

banks

12

33 Market Power

To measure the degree of power of each bank we use the traditional measure defined by

Lerner (1934)

L =P minusMC

P (17)

if L = 0 P = MC and for any value L gt 0 P gt MC In the limit L = 1

The connection between the SFA model (equation 16) and the Lerner index is done

rearranging the equation 5 Omitting the error term (v) for simplification we can rewrite

equation 5 as

P middot YC

partlnY

partlnCminus 1 = u

partlnY

partlnCmiddot (18)

Considering that partlnYpartlnC

= (partYpartC

)(CY

) we have

P minusMC

MC=

u

EC

middot (19)

Equation 19 corresponds to an alternative definition of mark-up called θ where the

distance between price and marginal cost is expressed as a fraction of the latter In addition

since the function input distance is dual the cost function we can substitute EC for EY in

equation 19 and after estimating equation 16 and obtain estimates of the mark-up (u) the

estimation of market power can be obtained by replacing the values estimated in equation 19

as follow

θ equiv P minusMC

MC=

u

αY + αY Y lnY +sumJminus1

j=1 αjY ln xj + αY TT (20)

This estimate can be used to obtain the traditional measure of Lerner index as in

equation 16 employing the following formula

L =θ

1 + θ (21)

13

34 Returns to Scale

Finally we can use the estimates of equation 16 to obtain other characteristics of tech-

nology such as the return to scale and the scale bias Formally EC = partlnCpartlnY

= (partCpartY

)(YC) =

MCAC where AC represents the average cost This means that the return to scale is

inversely related to cost elasticity that is RTS = 1EC If EC = 1 we will have constant re-

turns to scale if EC lt 1 we will have increasing returns (economies of scale) and if (EC gt 1)

we will have decreasing returns (diseconomies of scale) Again using the duality condition

between IDF and the cost function we can use the estimates of equation 16 to calculate the

return to scale and scale bias Respectively

RTS =1

αY + αY Y lnY +sumJminus1

j=1 αjY ln xj + αY TT(22)

and

Scale Bias = αY T (23)

If the scale bias parameter (αY T ) is statistically significant and greater than zero this

suggests that technological change is reducing economies of scale over time

4 Database and empirical approach

The database used can be divided into two parts The first part includes the information

of all FI authorized to operate in Brazil by the Brazilian Central Bank (BCB) This infor-

mation is available on the BCBrsquos website through the IFdata system and contains detailed

information on the balance sheet income statement and credit portfolio of all IFs In ad-

dition data are available on an individual basis as well as on financial conglomerates and

prudential conglomerates1 For this work we use the concept of financial conglomerates In

1The BCB defines as a financial conglomerate the group of financial entities directly or unrelated byshareholding or by effective operational control characterized by standard management or by operatingin the market under the same brand or commercial name (Circular note no 1273 from Brazilian CentralBank) The concept of a prudential conglomerate in turn encompasses a broader universe of entities suchas consortium administrators payment institutions and companies that purchase credit operations (Officedocument no 1273 from Brazilian Central Bank)

14

December 2018 there was information on a total of 2753 IFs between commercial banks

or multiple banks with and without commercial portfolios credit cooperatives development

banks among others arranged quarterly since the first quarter of 2000

Our sample was restricted only to commercial banks or multiple banks with commercial

portfolios and savings banks Banks with loan portfolio equal zero and did not contain

information for at least three consecutive years were excluded In the same way we excluded

banks with observations that fell bellow 1st percentile of the sample for each one of variables

used in the model or above 99th percentile only for the dependent variable RC = TRC

Furthermore we chose to work with the data on a semi-annual basis (June and December

base dates) because inconsistencies we have found in some quarterly accounting data After

applying all these criteria our sample was restricted to a panel with only 83 banks between

the first half of 2000 and the second half of 2014 totaling 1818 observations2 In terms

of representativeness our sample with only 83 banks corresponded to 794 of the total

assets and 817 of the credit portfolio of the entire SFN in December 2014

The second database was obtained from Cerutti et al (2016) In this unprecedented

database the focus is on the change and intensity in the use of a set of prudential instruments

classified as micro-prudential and macro-prudential3 They collect the data for 64 countries

with a quarterly period covering the period between the first quarter of 2000 and the fourth

quarter of 2014 In the database in addition to a considerable number of countries the

information collected by the authors has the objective of mapping the intensity and the

change occurring quarterly in each of the prudential instruments

The original instruments of the database are the capital requirement capital buffer

interbank exposure limit concentration limit maximum loan amount commonly known as

Loan-to-value and reserve requirement

Concerning the capital requirement instrument we can understand it as an imposition

2Although the BCB has information until the second half of 2018 the database with prudential variablesavailable in the article by Cerutti et al (2016) goes only until the second half of 2014

3The database of Cerutti et al (2016) is a considerable advance to the available prudential data collectedso far in Lim et al (2011) and Cerutti et al (2017a) In both studies the focus is on only identifying whetheror not the country has implemented the appropriate prudential instrument

15

for a compulsory deposit with the BCB of demand deposits of financial institutions Capital

buffer serves as a buffer against countercyclical capital whose purpose is to protect the

banking sector in periods of excessive credit growth which is associated with increased

systemic risk On the other hand in periods of credit constraint the buffering capital may

decrease and thus not affecting the performance of the real side of the economy

The interbank exposure limit is a liability limiter maintained by the banking sector as a

whole or by a particular bank By the concentration limit we mean a procedure that limits

the fraction of assets concentrated to a limited number of borrowers

Loan-to-value is a restriction to the borrower or activity It is the imposition of maximum

amounts of loans on the value of collateral or even maximum amounts of indebtedness to the

income of the borrower Finally we can interpret a reserve requirement as an instrument

whose purpose is to limit the multiplication of money in the economy through the imposition

of compulsory deposits with the Central Bank

The prudential capital buffer instrument was broken down into the following categories

general capital requirement real estate credit consumer credit and others We decompose

the reserve requirement instrument into two sub-indices local domestic currency and foreign

currency

Information on intensity and change in prudential tooling is collected as follows by the

researchers If the financial regulator tightens the instrument in question in a specific quarter

the index assumes a value of +1 On the other hand if the same instrument undergoes

relaxation or loosening the value of minus1

Finally the index receives a value of zero if there was no change in the prudential

instrument in that quarter4 According to Cerutti et al (2016) in addition to capturing the

intensity of change in such a prudential policy this type of coding incorporates qualitative

characteristics of the policy that are lost by the type of dichotomous coding (1 if implemented

and 0 otherwise) Despite the simplicity of the coding used it is imperfectly able to measure

direction in policy change Not all the instruments available on the original basis were used

4For more details on how the base was built see Cerutti et al (2016)

16

because some measures were not implemented by the BCB Examples are the capital buffer

for real estate credit the concentration limit of banks to sectors or borrowers and the limit

on interbank exposure

Moreover due to the low variability in most measures and the semi-annual structure

of the database obtained in the BCB we chose to use the cumulative indexes of variation

According to Cerutti et al (2016) the purpose of this cumulative index is to capture the

level of tightness or looseness over a given period Finally to capture an overall measure of

prudential instruments we aggregate all variations of prudential instruments into a single

aggregate instrument called cumulative prudential Table A5 attached illustrates the

change and the intensity of the prudential instruments implemented by Brazil according to

the data collected by Cerutti et al (2016)

Our empirical strategy consists in estimating the equation 16 by Maximum Likelihood in

a two-stage procedure wherein the first stage we obtain the estimates of the parameters of

the equation and in the second stage we calculate the estimates of uit using the conditional

mean estimator of Jondrow et al (1982)

After obtaining the estimates of u and RC equiv EY we use equation 20 to calculate the

estimated values of θ which are used to calculat e the Lerner Index (L) according to

equation 21

We estimated six models wif different sets of deterministic variables (prudential measures)

to control the parameter of market power (uit) In the first model we did not add any

controls In the second we include only the HHI In the third specification we include the

capital buffer and capital requirement The fourth model uses only the loan-to-value In the

fifth model we include reserve requirements in both foreign and local currency and in the

last model we include the cumulative prudential measure which is the sum of the changes

in all other prudential measures

The inclusion of prudential variables in a separated way was necessary because they

represent only the tightening or the loosening of the prudential instrument Therefore they

do not represent the change in the magnitude of the prudential instrument As such the

variables have little variability and the high correlation generated between them causes

17

severe problems in the estimation process by maximum likelihood In general the tests with

the aggregate models did not reach the convergence of likelihood function even using different

strategies for initial values or optimization algorithm and when the optimization reaches an

optimal state the estimates were inconsistent For this reason we chose to estimate simpler

models including prudential variables separately or at most two when they represented

similar measures

Besides two critical events occurred in the second half of 2008 and significantly changed

the structure and dynamics of the banking industry in Brazil The outbreak of the subprime

crisis in the US and the acquisition of Unibanco by Itau in Brazil5 Itau-Unibanco has become

the largest bank in Brazil (Itau-Unibanco) accounting for 191 of total SFN assets and

184 of the total loan portfolio in the second half of 2008

We can observe the increase in market concentration in Figure 1 which represents HHI

concentration indices for total assets and total credit portfolio The increase in concentra-

tion levels of the banking industry on the other hand also coincides temporarily with the

outbreak of the GFC and an increase in rigidity in prudential instruments after the onset of

the crisis6

These events result in a high correlation between the variables and making it more

difficult to isolate the effects of each variable on the parameter of market power In this

way we also chose to estimate an HHI-only model as the control variable of market power

(uit)

Figure 1 Evolution of the Herfindahl Index (HHI) over time using credit and total assets

for the Brazilian banking system

We summarize the description of the variables that we will use in the estimation of

5Unibanco was the sixth largest Brazilian bank in the first half of 2008 accounting for 59 of total SFNassets and 6 of the total loan portfolio Also Itau was the third largest bank with 118 of SFN and119 of the loan portfolio

6Cubillas amp Suarez (2018) find the same result as the banksrsquo market power increased shortly after theGFC

18

equation 16 and how we calculate them in Table 1 All variables included in equation 16

except for trend prudential variables an HHI are in the logarithms form

Table 1 Variables used to IDF estimatation

5 Empirical Results

We present the results of the models in Table 2 Initially focusing on the interpretation

of the parameters of the input-distance function we verified that the size of the IF credit

portfolio (lnY ) has a negative sign but it was significant only for models 1 4 and 5 This

result implies that the larger the portfolio size the lower the revenue-cost ratio of the FI

Table 2 Results of IDF estimation

The coefficients of Staff costs (lnx1) and volume of funding (lnx2) were also negative

and significant in all models Thus the higher the staff costs and the higher the funding

volume the lower the cost-to-cost ratio of the FIs The trend variable as established by

equation 23 represents the scale bias and the negative sign would indicate that technological

change would increase economies of scale over time however no estimate was significant

51 Impact of Prudential Measures on Mark-up

The evaluation of the variables that determine the mark-up parameter (u) shows that

all of them are statistically significant and positive The SFA model is not linear in these

parameters Therefore the value of the coefficients does not represent the effect of the

magnitude of changes in the variables on the mark-up (their elasticities) However we can

estimate their marginal effects We present them for each variable in Figure 2

19

Figure 2 Marginal effects of HHI and prudential instruments (Capital Buffer Capital

RequirementLTV Reserve Requirement (Foreign) Reserve Requirement (domestic) and

cumulative prud) on themark-upucomponent

The positive sign of HHI in model 2 means that the more concentrated the banking

industry is the higher the market power of FIs This result is in line with that established by

the traditional structure-conduct-performance paradigm (Schmalensee 1989) However as

can be seen in Figure 1 the increase in the concentration index coincides with the tightening

of the prudential measures stemming from the GFC In this sense we can not say whether

this is the real effect of the increase in market concentration on the market power of FIs or

whether it is affected by the tightening of prudential measures

If we focus on prudential instruments the results for capital buffers and the capital

requirement (model 3) indicate that a tightening in these variables - whose purpose is to

increase banksrsquo capital reserve during positive shocks in the economy - has a detrimental

effect on competition market since they raise the IF mark-ups This effect happens because

this prudential measure influences the smoothing of the credit supply cycle

The same results are present for the loan-to-value variable (model 4) In general this

measure sets limits on the leverage of mortgages and other securities and a tightening in

ltv is effective in controlling possible booms in the real estate market by reducing real estate

prices and ultimately reducing the excess volatility of the economy ((Zhang amp Zoli 2016

Ely et al 2019) According to the result found the higher the limits the greater the market

power of the FIs

With respect to reserve requirements both in foreign and local currency - credit limits

directly in foreign currency and domestic currency respectively - the results (model 5) also

demonstrate a detrimental effect on competition since the tightening in such measures also

implies an increase mark-up of IFs In the model 6 where we introduce the aggregate

prudential measure the result found is similar to the others that is the higher the tightness

(in general) in the prudential measures of the financial system the higher the market power

of FIs

20

Unfortunately since prudential variables represent only a measure of tightening or loos-

ening of prudential policy and not its magnitude we can not accurately assess the impact

of these variables on the mark-up The marginal effects represented in Figure 2 give us only

an idea of how such variables affected the estimated mark-ups

However in general we can say that the positive signs of the estimates mean that the

higher the tightness in these prudential policies the greater the mark-up and consequently

the higher the market power of the FIs Therefore we find a perverse effect on industry

competition and probably a loss of borrowers welfare

Our results are in accordance with the evidence that the increase in prudential rigor has

negative impacts mainly on the supply of credit (Lim et al 2011 Claessens 2015 Aiyar

et al 2014 Gropp et al 2018 Cerutti et al 2017a) Ceteris paribus the increase of IF

mark-ups would be a fully expected effect As highlighted by Claessens amp Laeven (2004) any

policy that restricts the activity of banks and hinders their operation has negative impacts

on market competition

52 Estimation of Lerner indices

Regarding the mark-up estimation the values reported at the bottom of Table 2 corre-

spond to the distance between the observed revenue-cost ratio and its competitive boundary

that is the component u

To interpret the mark-up however we will focus the discussion on the estimates of

Lerner index (equation 21) because they have a more unambiguous economic meaning We

summarize the results of Lerner index for general estimates by type of control and for each

model in Table 3 and the Figure 3 shows their frequency distributions We should emphasize

that these estimates are individuals that is we obtain the estimates for each IF and at each

period t The tables in Annex (A6 to A11) summarizes the estimates of the Lerner index

and the returns to scale for each IF in the sample

Table 3 Estimates of Lerner index general and by type of control

21

Figure 3 Frequency distribution of Lerner indexes for each model and density estimation

Kernel by typeof control

For all six models all mark-up estimates were within the theoretical range of 0 and 1

with the minimum value being 0009 (model 2) and the maximum value 0362 (model 3) In

general the estimated average value was between 0051 (model 2) and 0058 (models 1 and

5) which means that on average Brazilian banks have a mark-up between 51 and 58

These values are slightly different when we separate the estimates by type of control

In the case of state-owned banks the average mark-up was between 0047 (model 2)

and 0057 (model 1) These values are lower in all the estimated models to the values

of (privates) national banks (0052-0057) and foreign banks (0050-0061) However the

medians of estimated values for state-owned banks were higher than the national and foreign

private banks in all models

For comparison purposes these values are considerably lower than the value (016) esti-

mated for Brazil in Coccorese (2014) We believe that this difference is due to the model and

sample used Coccorese (2014) has estimated the dual version of model (equation 5) and

as highlighted by Kumbhakar et al (2012) the use of accounting information to calculate

input prices can generate problems when they are endogenous

Regarding the sample Coccorese (2014) also used a different period from ours (1994 to

2012) and a more significant number of IFs in the sample (189 against 83 used by us) The

main difference here is in the number of IF - 106 in total In this respect it is essential to

note that these FIs constitute small FIs and in the second half of 2014 they held only 37

of total SFN assets and 24 of the total credit portfolio

We tried to replicated the Coccoresersquo sample but in preliminary tests we have found great

difficulties in the models estimations in particular at convergence of likelihood function

We observed these small IFs had in several situations extremely high values for the revenue-

cost ratio or excessively low for the inputs used (personnel expenses and funding) as well

as other problems such as launch errors (positive values in variables of expenditure for

example) and missings For these reasons and considering that such IFs represented only a

22

small fraction of Brazilian credit market we decided to exclude them from the sample

However It is worth highlight as they are small FIs the vast majority operate in particular

segments of the credit market and probably assume a more risk-taking behavior Considering

that they will work with a segment of credit claimants with rdquoworse scoresrdquo than borrowers

using large FIs we expect that the mark-up of these IFs will be higher We can observe

(part of) this phenomenon in Figure 4 where we represent the estimates of the Lerner index

(vertical axis) against market share of total assets (horizontal axis) of our sample and it is

quite evident the smaller banks have the higher mark-ups Therefore as our sample exclude

a large proportion of these small IFs it is natural that Coccorese (2014)rsquo results larger than

ours

Figure 4 Lerner indexes according to the size (market share) of banksrsquo assets

Regardless of this our results seem to adhere well to reality because if we look at Figure

5 we note that the Lerner indices show a significant increase from the second semester of

2008 These results are in agreement with the results of Cubillas amp Suarez (2018) Besides

in Figure 6 Lerner indexes are separated by type of control and we can observe that with

some exceptions the market power has always been lower for state-owned banks especially

considering the period after the GFC

Figure 5 Average Lerner indices for each model between 2000q2 and 2014q4

Figure 6 Average Lerner indices estimated for public private national and private

foreign banks between2000q2 and 2014q4

23

53 Estimation of Returns to Scale

Finally Table 4 and Figure 7 summarize the estimates of returns to scale We highlight

that the average of the returns to the scale of the Brazilian FIs is very close if we comparer

the six estimated models (between 0848 and 0851) Although the values are close to unity

in all IFs we reject the hypotheses of constant returns to the scale that is RTS = 1 therefore

IFs have diseconomies of scale

Table 4 Estimates of returns to scale by control type and general

When we separate estimates by type of control the estimates of state-owned banks

(0937-0944) are higher than national (0824-0829) and foreign banks (0841-0844) This

result means that the scale problem is a problem common to all FIs in Brazil Moreover

state-owned banks runs closer to the constant return region than national and foreign banks

Figure 7 Frequency distribution of the returns to scale indexes for each model and

density estimationKernel by type of control

6 Final Considerations

Considering that the banking industry underwent a significant restructuring in recent

years caused by several mergers and acquisitions in the sector as well as by a severe financial

crisis started in mid 2007 and potentialized in 2008 understand the behavior of market

power and as a (partial) set of prudential instruments influencing this dynamic has become

paramount Thus in an innovative way this paper proposed the use of stochastic frontier

analysis techniques to measure market power for the Brazilian banking industry and to test

if such prudential measures had an impact on the competitive dynamics of sector

The estimated average Lerner index was between 51 and 58 for Brazilian FIs How-

ever when controlled by the type of control we find that state-owned banks have slightly

24

lower estimates than national and foreign banks respectively Also estimates of returns to

scale allow us to infer that FIs operate with diseconomies of scale

Concerning the impact of prudential measures on the market power of FIs our results

generally suggest that tightening of prudential measures have a positive impact on bank

mark-up and consequently have detrimental effects on competition in industry banking

Finally in future research it will be possible to better understand the influence of some

prudential measures in the banking market through the study by type of segment or line of

credit

25

References

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idence from a uk policy experiment Journal of Money Credit and Banking 46 181ndash214

URL httpsonlinelibrarywileycomdoiabs101111jmcb12086 doi101111jmcb12086

arXivhttpsonlinelibrarywileycomdoipdf101111jmcb12086

Altunbas Y Binici M amp Gambacorta L (2018) Macroprudential policy and bank risk Journal of

International Money and Finance 81 203ndash220 doihttpsdoiorg101016jjimonfin201711

012

Araujo L A D d amp Jorge Neto P d M (2007) Risco e competicao bancaria no Brasil Revista Brasileira

de Economia 61 175ndash200 URL httpwwwscielobrscielophpscript=sci_abstractamppid=

S0034-71402007000200003amplng=enampnrm=isoamptlng=pt doi101590S0034-71402007000200003

Auer R amp Ongena S (2019) The countercyclical capital buffer and the composition of bank lending

Available at SSRN 3345189

Ayyagari M Beck T amp Peria M (2018) The micro impact of macroprudential policies Firm-level

evidence IMF Working Paper

Barbosa K de Paula Rocha B amp Salazar F (2015) Assessing competition in the banking indus-

try A multi-product approach Journal of Banking amp Finance 50 340ndash362 URL httpwww

sciencedirectcomsciencearticlepiiS0378426614001642 doi101016jjbankfin201405

003

Belaisch A (2003) Do Brazilian Banks Compete SSRN Scholarly Paper ID 879189 Social Science Research

Network Rochester NY URL httpspapersssrncomabstract=879189

Bikker J A Shaffer S amp Spierdijk L K (2012) Assessing competition with the panzar-rosse model

The role of scale costs and equilibrium Economics Letters 94 1025ndash1044

Bresnahan T F (1982) The oligopoly solution concept is identified Economics Letters 10 87ndash92 URL

httpdxdoiorg1010160165-1765(82)90121-5 doi1010160165-1765(82)90121-5

Bresnahan T F amp Reiss P (1991) Entry and competition in concentrated markets Journal of Political

Economy 99 977ndash1009

Camors C amp Peydro J (2014) Macroprudential and monetary policy Loan-level evidence from reserve

requirement Mimeo Universitat Pompeu Fabra URL httpspdfssemanticscholarorgd508

61639bb4e7453a7a39184edf9b0c1e7016a6pdf

Cardoso M Azevedo P F amp Barbosa K (2016) Concorrencia no setor bancario brasileiro bancos

individuais versus conglomerados bancarios (pp 113ndash146) URL httprepositorioipeagovbr

handle110586650

Cerutti E Claessens S amp Laeven L (2017a) The use and effectiveness of macroprudential policies New

26

evidence Journal of Financial Stability 28 203ndash224 doihttpsdoiorg101016jjfs201510

004

Cerutti E Correa R Fiorentino E amp Segalla E (2016) Changes in prudential policy instruments ndash a

new cross-country database IMF Working Paper WP1610

Cerutti E Dagher J amp DellrsquoAriccia G (2017b) Housing finance and real-estate booms A cross-country

perspective Journal of Housing Economics 38 1ndash13

Claessens S (2015) An overview of macroprudential policy tools Annual Re-

view of Financial Economics 7 397ndash422 URL httpsdoiorg101146

annurev-financial-111914-041807 doi101146annurev-financial-111914-041807

arXivhttpsdoiorg101146annurev-financial-111914-041807

Claessens S Ghosh S R amp Mihet R (2013) Macro-prudential policies to mitigate financial system

vulnerabilities Journal of International Money and Finance 39 153ndash185 doihttpsdoiorg10

1016jjimonfin201306023

Claessens S amp Laeven L (2004) What drives bank competition some international evidence Journal

of Money Credit and Banking 36 563ndash583 URL httpwwwjstororgstable3838954

Coccorese P (2014) Estimating the Lerner index for the banking industry a stochastic frontier approach

Applied Financial Economics 24 73ndash88 URL httpdxdoiorg101080096031072013866202

doi101080096031072013866202

Coelho C A De Mello J M amp Rezende L (2013) Do Public Banks Compete with Private

Banks Evidence from Concentrated Local Markets in Brazil Journal of Money Credit and Bank-

ing 45 1581ndash1615 URL httponlinelibrarywileycomdoi101111jmcb12063abstract

doi101111jmcb12063

Cubillas E amp Suarez N (2018) Bank market power and lending during the global financial crisis Jour-

nal of International Money and Finance 89 1ndash22 URL httpwwwsciencedirectcomscience

articlepiiS0261560618303048 doihttpsdoiorg101016jjimonfin201808003

Das A amp Kumbhakar S C (2016) Markup and efficiency of Indian banks an input distance func-

tion approach Empirical Economics (pp 1ndash31) URL httplinkspringercomarticle101007

s00181-015-1062-4 doi101007s00181-015-1062-4

Ely R Tabak B amp Teixeira A (2019) Heterogeneous effects of the implementation of macroprudential

policies on bank risk MPRA Paper No94546

Freixas X Laeven L amp Peydro J-L (2015) Systemic Risk Crises and Macroprudential Regulation

Mit Press URL httpwwwjstororgstablejctt17kk82g

Galati G amp Moessner R (2013) Macroprudential policy ndash a literature review Jour-

nal of Economic Surveys 27 846ndash878 URL httpsonlinelibrarywileycom

27

doiabs101111j1467-6419201200729x doi101111j1467-6419201200729x

arXivhttpsonlinelibrarywileycomdoipdf101111j1467-6419201200729x

Gropp R Mosk T Ongena S amp Wix C (2018) Banks Response to Higher Cap-

ital Requirements Evidence from a Quasi-Natural Experiment The Review of Finan-

cial Studies 32 266ndash299 URL httpsdoiorg101093rfshhy052 doi101093rfshhy052

arXivhttpoupprodsislanrfsarticle-pdf32126627185080hhy052pdf

Hyde C E amp Perloff J M (1995) Can market power be estimated Review of Industrial Organization 10

465ndash485 URL httplinkspringercomarticle101007BF01024231 doi101007BF01024231

Igan D amp Kang H (2011) Do loan-to-value and debt-to-income limits work evidence from korea IMF

Working Papers (pp 1ndash34)

Jimenez G Ongena S Peydro J-L amp Saurina J (2017) Macroprudential policy countercyclical bank

capital buffers and credit supply Evidence from the spanish dynamic provisioning experiments Journal

of Political Economy 125 2126ndash2177 URL httpsdoiorg101086694289 doi101086694289

arXivhttpsdoiorg101086694289

Jondrow J Knox Lovell C A Materov I S amp Schmidt P (1982) On the estimation of technical

inefficiency in the stochastic frontier production function model Journal of Econometrics 19 233ndash

238 URL httpwwwsciencedirectcomsciencearticlepii0304407682900045 doi101016

0304-4076(82)90004-5

Klingelhoger J amp Sun R (2019) Macruprudential policy central banks and financial stability Evidence

from china Journal of International Money and Finance 93 19ndash41 URL httpsdoiorg101016

jjimonfin201812015

Kumbhakar S C (2012) Specification and estimation of primal production models European Journal

of Operational Research 217 509ndash518 URL httpwwwsciencedirectcomsciencearticlepii

S0377221711008939 doi101016jejor201109043

Kumbhakar S C Baardsen S amp Lien G (2012) A New Method for Estimating Market Power with

an Application to Norwegian Sawmilling Review of Industrial Organization 40 109ndash129 URL http

linkspringercomarticle101007s11151-012-9339-7 doi101007s11151-012-9339-7

Lerner A P (1934) The Concept of Monopoly and the Measurement of Monopoly Power The Review

of Economic Studies 1 157ndash175 URL httprestudoxfordjournalsorglookupdoi102307

2967480 doi1023072967480

Lim C H Costa A Columba F Kongsamut P Otani A Saiyid M Wezel T amp Wu X (2011)

Macroprudential policy what instruments and how to use them lessons from country experiences IMF

working papers (pp 1ndash85)

Lopez R A He X amp Azzam A (2018) Stochastic frontier estimation of market

28

power in the food industries Journal of Agricultural Economics 69 3ndash17 URL https

onlinelibrarywileycomdoiabs1011111477-955212219 doi1011111477-955212219

arXivhttpsonlinelibrarywileycomdoipdf1011111477-955212219

Lucinda C R (2010) Competition in the Brazilian loan market an empirical analysis Estudos Economicos

(Sao Paulo) 40 831ndash858 URL httpwwwscielobrscielophpscript=sci_abstractamppid=

S0101-41612010000400004amplng=enampnrm=isoamptlng=en doi101590S0101-41612010000400004

Moreno R (2011) Policymaking from arsquomacroprudentialrsquoperspective in emerging market economies

Nakane M I (2002) A test of competition in brazilian banking Estudos Economicos (Sao Paulo) 32

203ndash224 URL httpwwwrevistasuspbreearticleview117799

Panzar J C amp Rosse J N (1987) Testing for rdquomonopolyrdquo equilibrium The Journal of Industrial

Economics 35 443ndash456 URL httpwwwjstororgstable2098582 doi1023072098582

Richter B Schularick M amp Shim I (2019) The costs of macroprudential policy Journal of Inter-

national Economics 118 263 ndash 282 URL httpwwwsciencedirectcomsciencearticlepii

S0022199618302617 doihttpsdoiorg101016jjinteco201811011

Schmalensee R (1989) Chapter 16 inter-industry studies of structure and performance In Hand-

book of Industrial Organization (pp 951ndash1009) Elsevier BV URL httpdxdoiorg101016

s1573-448x(89)02004-2 doi101016s1573-448x(89)02004-2

Silva M S d () Avaliacao do processo de concentracao-competicao no setor bancario brasileiro URL

httpwwwbcbgovbrpecwpsporttd377pdf

Tabak B amp Gomes G (2015) The impact of market power at bank level in risk-taking The brazilian

case International Review of Financial Analysis 40 154ndash165

Tabak B M Fazio D M amp Cajueiro D O (2012) The relationship between banking market competition

and risk-taking Do size and capitalization matter 36 3366ndash3381 URL httpwwwsciencedirect

comsciencearticlepiiS0378426612002026 doi101016jjbankfin201207022

Wong T Fong T Li K-f amp Choi H (2011) Loan-to-value ratio as a macroprudential tool-hong kongrsquos

experience and cross-country evidence

Zhang L amp Zoli E (2016) Leaning against the wind Macroprudential policy in asia Journal of Asian

Economics 42 33ndash52

29

Figure 1 Evolution of the Herfindahl Index (HHI) over time using credit and total assets for theBrazilian banking system

30

Figure 2 Marginal effects of HHI and prudential instruments (Capital Buffer Capital RequirementLTV Reserve Requirement (Foreign) Reserve Requirement (domestic) and cumulative prud) on the

mark-up u component

31

Figure 3 Frequency distribution of Lerner indexes for each model and density estimation Kernel by typeof control

32

Figure 4 Lerner indexes according to the size (market share) of banksrsquo assets

33

Figure 5 Average Lerner indices for each model between 2000q2 and 2014q4

34

Figure 6 Average Lerner indices estimated for public private national and private foreign banks between2000q2 and 2014q4

35

Figure 7 Frequency distribution of the returns to scale indexes for each model and density estimationKernel by type of control

36

Table 1 Variables used to IDF estimatation

Variabel Description SourceBasic variables

TR Total Revenue = Gross Insterest Income (a) + Bank-ing Service Fee Income (d1) + Banking Fee Income(d2) + Other Operating Income (d7)

Inc statIFData

TC Total Cost = Interest Expenses (b) + Personnel Ex-penses (d3) + Administrative Expenses (d4) + TaxExpenses (d5) + Other Operating Expenses (d8)

Inc statIFData

Y Loan Lease and Other Credit Operations by RiskLevel

SummaryIFData

x1 Personnel Expenses (d3) Inc statIFDatax2 Funding (e) LiabilitiesIFDatax3 Equity (j) LiabilitiesIFData

Model variabelslnRC Log of Revenue-Cost ratiolnY Log of total loanlnx1 Log of personnel expenses and equity ratio (x1x3)lnx2 Log of funding and equity ratio (x2x3)T Time

Prudential variables - Deterministic mark-up parametersHHIt HHIt =

sumS2it where Sit

2 is market share of totalasset of bank i on time t

Inc statIFData

cb cumulative change of capital buffer Cerutti et al (2016)cr cumulative change of capital requirement Cerutti et al (2016)ltv cumulative change of loan-to-value Cerutti et al (2016)

rr foreign cumulative change of reserve requirement (foreigncurrency)

Cerutti et al (2016)

rr local cumulative change of reserve requirement (domesticcurrency)

Cerutti et al (2016)

37

Table 2 Results of IDF estimation

Parameters VariablesEstimates

Model Model Model Model Model Model(1) (2) (3) (4) (5) (6)

Parametros da funcao insumo distanciaαY Y lnY -0013 -0003 -0004 -0012 -0011 -0005

(000) (000) (000) (000) (000) (000)α1Y lnx1 -0096 -0095 -0094 -0094 -0096 -0090

(001) (001) (001) (001) (001) (001)α2Y lnx2 -0019 -0022 -0022 -0019 -0020 -0021

(001) (001) (001) (001) (001) (001)αY T T -0000 -0000 -0000 -0000 -0000 -0000

(000) (000) (000) (000) (000) (000)αY const 1153 1010 1035 1134 1129 1057

(005) (007) (005) (005) (005) (006)

Deterministic Mark-up parametersδ1 HHI 764157

(12270)δ1 Capital

Buffer7586(065)

δ2 CapitalReq

4696(160)

δ1 Loan-to-value38511(671)

δ1 ResR(foreign)10730(433)

δ2 ResR(local)2869(126)

δ1 Cum Prud3237(020)

δ0 const minus10601minus10194minus5306 minus9866 minus8577 minus4993(032) (2064) (316) (079) (119) (122)

Distribution of u and vσ2u 2840 1418 1620 2643 2441 1593σ2v 0118 0121 0120 0118 0118 0120λ 2402 1172 1354 2233 2065 1325Log Lik 887404 922033 918606 896019 891991 907817

EstimatesEstimates of Mark-up (u)Avg 0075 0065 0068 0074 0075 00691st quartile 0052 0038 0051 0051 0051 0044Median 0062 0048 0060 0060 0061 00543st quartile 0080 0074 0079 0079 0079 0075std-dev 0053 0054 0053 0053 0054 0054

Note p lt 010 p lt 005 and p lt 001

38

Table 3 Estimates of Lerner index general and by type of control

EstimatesModel Model Model Model Model Model

(1) (2) (3) (4) (5) (6)Mark-up (L) generalAverage 0058 0051 0053 0057 0058 0053std-dev 0032 0034 0034 0032 0032 00331st quartile 0043 0031 0034 0041 0042 0036Median 0051 0039 0044 0050 0050 00453st quartile 0063 0060 0059 0063 0063 0060Mark-up (L) State-owned banksAverage 0057 0047 0049 0056 0056 0050std-dev 0018 0017 0017 0018 0016 00161st quartile 0047 0035 0038 0045 0046 0040Median 0054 0041 0046 0053 0053 00463st quartile 0064 0056 0056 0064 0063 0057Mark-up (L) National banksAverage 0057 0052 0054 0057 0057 0054std-dev 0034 0038 0038 0035 0035 00371st quartile 0041 0030 0033 0040 0041 0035Median 0050 0038 0043 0048 0049 00443st quartile 0061 0061 0060 0061 0062 0060Mark-up (L) Foreign banksAverage 0061 0050 0053 0059 0060 0054std-dev 0034 0033 0032 0034 0034 00321st quartile 0042 0031 0034 0041 0042 0036Median 0052 0040 0044 0051 0051 00453st quartile 0068 0059 0060 0066 0066 0061

Table 4 Estimates of returns to scale by control type and general

ModelState-owned

banksNational

banksForeignbanks

General std-dev Min Max

1 0944 0824 0842 0848 0073 0665 11242 0940 0829 0843 0851 0066 0690 10733 0938 0827 0842 0849 0066 0689 10764 0941 0824 0842 0848 0071 0671 11115 0942 0824 0841 0848 0072 0669 11136 0937 0829 0844 0850 0065 0692 1073

39

Appendix A Attachment Tables

Table A5 Cumulative change on Prudential Measures intensity

TimeCapitalBuffer 2

(cb)

CapitalReq(cr)

Loan-to-Value(ltv)

Reserve Reqlocal curr

(RR local)

Reserve Reqforeign cur

(RR foreign)

CumulativePrudential 3

(Cum Prud)2000q2 -1 0 0 0 -2 -32000q4 -1 0 0 0 -2 -32001q2 -1 0 0 0 -2 -32001q4 0 0 0 0 -1 -12002q2 0 0 0 0 0 02002q4 2 0 0 0 2 42003q2 0 0 0 0 3 32003q4 0 0 0 0 2 22004q2 0 0 0 0 2 22004q4 0 0 0 0 2 22005q2 0 0 0 0 2 22005q4 0 0 0 0 2 22006q2 0 0 0 0 2 22006q4 0 0 0 0 2 22007q2 2 0 0 0 2 42007q4 2 0 0 0 2 42008q2 2 0 0 0 2 42008q4 2 0 0 0 1 32009q2 2 0 0 0 0 22009q4 2 0 0 0 -1 12010q2 2 0 0 0 1 32010q4 3 0 0 0 3 62011q2 3 0 0 1 3 72011q4 4 0 0 2 3 92012q2 3 1 0 2 3 92012q4 3 1 0 1 2 72013q2 3 2 0 0 2 72013q4 3 2 1 0 2 82014q2 3 2 1 0 2 82014q4 2 2 1 0 3 82Sum of capital buffer and others 3Aggregate measure (It is the sum of the change of all other instrument)

40

Table A6 Estimates of Lerner index and return to scale by bank - Model (1)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0042 0082 0009 0940 0007 -85Banrisul S 0055 0041 0084 0009 0952 0008 -635BEC S 0048 0021 0077 0016 0844 0009 -1756BRB S 0058 0033 0100 0015 0961 0003 -1533BB S 0058 0039 0098 0012 0990 0006 -173Caixa Economica Federal S 0063 0051 0174 0022 1052 0004 1458B da Amazonia SA S 0057 0016 0124 0023 0844 0008 -2028B do Estado Do Para SA S 0061 0026 0110 0022 0936 0004 -1764B do Est do Maranhao SA S 0055 0046 0065 0006 0935 0014 -455B do Est do Piauı SA - Bep S 0057 0030 0155 0029 0862 0004 -326B do Estado De Sergipe SA S 0061 0024 0135 0022 0947 0004 -1453Nossa Caixa - N Banco SA S 0057 0036 0090 0013 0981 0004 -444Bradesco N 0056 0038 0114 0015 0925 0004 -1945Itau N 0059 0031 0220 0033 0901 0003 -3797Safra N 0053 0037 0085 0009 0885 0003 -4215Unibanco N 0055 0037 0088 0014 0897 0001 -7054Mercantil Do Brasil N 0057 0027 0077 0011 0945 0002 -2527BBM N 0076 0016 0300 0065 0783 0005 -4464BMC N 0052 0030 0079 0012 0845 0003 -4703BMG N 0065 0017 0208 0045 0779 0003 -729JMalucelli N 0047 0022 0069 0013 0718 0003 -8765PEBB N 0065 0017 0181 0047 0698 0008 -3914SS N 0057 0034 0220 0037 0799 0007 -2839Sofisa N 0054 0021 0092 0020 0804 0002 -9903BIC N 0060 0034 0236 0040 0855 0005 -276Schahin N 0056 0028 0214 0035 0835 0006 -262Stock N 0081 0020 0267 0067 0817 0006 -3107Pine N 0052 0022 0108 0019 0808 0004 -545Socopa N 0056 0027 0120 0017 0886 0003 -3806Intercap N 0060 0023 0212 0037 0812 0007 -2851Indusval N 0062 0030 0246 0043 0857 0005 -3139Bonsucesso N 0052 0020 0092 0018 0779 0005 -4033Industrial do Brasil N 0051 0031 0081 0016 0807 0002 -952Votorantim N 0052 0037 0107 0017 0819 0009 -2117Cacique N 0053 0024 0071 0014 0774 0005 -4621Inter Amex N 0055 0037 0068 0010 0837 0008 -2158Alfa N 0048 0041 0059 0005 0806 0002 -11303Rendimento N 0053 0022 0080 0012 0872 0008 -1562Bancoob N 0052 0046 0056 0003 0856 0003 -5061Original N 0085 0017 0279 0090 0729 0007 -4163Banco Intermedium SA N 0052 0028 0070 0015 0743 0006 -3973

Table A6 ndash Continue on next page

41

Table A6 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0225 0049 0761 0003 -7509Banco BBN SA N 0053 0027 0077 0014 0817 0012 -1509B Cooperativo Sicredi SA N 0052 0043 0062 0005 0875 0005 -2477B Cooperativo do Brasil SA N 0056 0046 0142 0020 0910 0006 -1479Banco Topazio SA N 0060 0035 0110 0027 0834 0006 -2966Banco Gerador SA N 0069 0045 0122 0028 0852 0008 -1968Banco Randon SA N 0109 0023 0320 0109 0783 0005 -4158Parana Banco SA N 0050 0026 0108 0020 0784 0008 -2799Banco Triangulo SA N 0055 0028 0091 0020 0833 0004 -4201Banco Guanabara SA N 0052 0024 0169 0025 0777 0004 -5588Banco Cedula SA N 0068 0012 0339 0061 0731 0003 -10236Banco Cacique SA N 0077 0028 0248 0077 0785 0016 -1309B Luso Brasileiro SA N 0065 0027 0208 0043 0849 0004 -349Banco Pecunia SA N 0047 0039 0060 0006 0770 0003 -7086Banco Zogbi SA N 0051 0038 0067 0011 0778 0001 -15193Banco Daycoval SA N 0054 0023 0131 0026 0783 0004 -5522B John Deere SA N 0059 0018 0133 0033 0756 0003 -7955Banco AJ Renner SA N 0053 0025 0081 0015 0827 0006 -2742ABN Amro F 0056 0039 0079 0014 0914 0002 -427Chase F 0068 0014 0228 0049 0790 0008 -2678LLoyds F 0053 0027 0064 0012 0825 0003 -5159BankBoston F 0057 0040 0099 0020 0902 0006 -1638Santander Brasil F 0057 0034 0097 0017 0890 0008 -146Citibank F 0059 0026 0153 0028 0875 0003 -4039BNL F 0055 0041 0097 0019 0840 0006 -2767Sudameris F 0056 0048 0065 0005 0966 0012 -297Societe Generale F 0060 0024 0153 0031 0826 0006 -299Europeu F 0054 0032 0073 0013 0848 0007 -2287ABC-Brasil F 0052 0025 0082 0014 0815 0003 -6207Dresdner F 0083 0017 0280 0074 0815 0006 -3234AGF Braseg F 0051 0031 0100 0016 0794 0004 -4923HSBC F 0057 0046 0092 0010 0971 0006 -466Deutsche F 0068 0013 0160 0036 0857 0004 -3335BNP Paribas F 0050 0037 0068 0007 0824 0005 -3665Barclays F 0052 0024 0089 0021 0771 0008 -2787Rabobank Int Brasil SA F 0058 0022 0166 0028 0842 0003 -5284B Nat de Paris Br SA F 0063 0023 0109 0033 0811 0006 -3331Ibibank SA - Banco Multiplo F 0059 0012 0106 0024 0781 0015 -1441Dresdner Bank - B Multiplo F 0086 0016 0244 0068 0768 0008 -2746Banco Westlb Do Brasil SA F 0064 0034 0108 0027 0839 0010 -1626Banco GE Capital SA F 0067 0032 0247 0047 0852 0010 -1527B Com Uruguai SA F 0072 0020 0192 0049 0830 0003 -52281S - State-owned bank N - National bank and F - Foreign bank

42

Table A7 Estimates of Lerner index and return to scale by bank - Model (2)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0049 0032 0085 0016 0944 0008 -716Banrisul S 0049 0032 0106 0017 0939 0008 -75BEC S 0032 0016 0046 0008 0860 0009 -1489BRB S 0049 0030 0112 0017 0961 0002 -1681BB S 0049 0032 0091 0016 0948 0006 -845Caixa Economica Federal S 0052 0034 0081 0014 1012 0003 382B da Amazonia SA S 0053 0015 0140 0028 0847 0008 -1922B do Estado Do Para SA S 0046 0029 0063 0009 0952 0005 -963B do Est do Maranhao SA S 0036 0029 0045 0005 0963 0016 -235B do Est do Piauı SA - Bep S 0036 0023 0071 0011 0888 0005 -2314B do Estado De Sergipe SA S 0050 0020 0155 0024 0962 0004 -1043Nossa Caixa - N Banco SA S 0039 0027 0074 0011 0972 0005 -601Bradesco N 0050 0028 0116 0023 0890 0004 -2618Itau N 0052 0024 0222 0037 0869 0003 -4269Safra N 0046 0028 0100 0017 0867 0003 -5042Unibanco N 0035 0028 0054 0007 0873 0001 -8511Mercantil Do Brasil N 0051 0029 0093 0019 0941 0002 -2837BBM N 0063 0012 0213 0048 0790 0005 -4494BMC N 0034 0023 0049 0007 0851 0003 -4266BMG N 0065 0015 0233 0057 0776 0004 -6135JMalucelli N 0052 0018 0080 0016 0720 0003 -9566PEBB N 0037 0014 0108 0025 0732 0009 -3086SS N 0056 0024 0236 0046 0797 0007 -2849Sofisa N 0052 0018 0107 0028 0808 0002 -8115BIC N 0057 0026 0259 0050 0850 0006 -2531Schahin N 0047 0022 0225 0041 0845 0007 -2359Stock N 0078 0017 0287 0071 0843 0006 -2782Pine N 0048 0018 0114 0023 0811 0004 -4973Socopa N 0050 0022 0136 0024 0908 0003 -3089Intercap N 0051 0019 0133 0031 0832 0006 -2759Indusval N 0061 0023 0267 0052 0866 0006 -2437Bonsucesso N 0050 0017 0109 0026 0791 0006 -3655Industrial do Brasil N 0044 0024 0079 0015 0816 0002 -8095Votorantim N 0048 0025 0120 0026 0807 0007 -2721Cacique N 0033 0020 0039 0006 0782 0005 -4597Inter Amex N 0035 0025 0045 0007 0844 0006 -2419Alfa N 0042 0029 0069 0013 0801 0002 -12139Rendimento N 0049 0019 0077 0015 0889 0008 -1394Bancoob N 0065 0057 0073 0006 0855 0003 -4199Original N 0099 0019 0299 0096 0732 0006 -4473Banco Intermedium SA N 0062 0032 0081 0019 0754 0006 -4393

Table A7 ndash Continue on next page

43

Table A7 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0059 0016 0239 0051 0778 0003 -6944Banco BBN SA N 0035 0020 0053 0009 0834 0011 -1466B Cooperativo Sicredi SA N 0045 0032 0070 0011 0881 0005 -2581B Cooperativo do Brasil SA N 0045 0029 0147 0025 0922 0006 -1274Banco Topazio SA N 0076 0043 0138 0038 0861 0005 -2569Banco Gerador SA N 0089 0054 0153 0037 0874 0008 -1645Banco Randon SA N 0122 0029 0335 0113 0803 0005 -388Parana Banco SA N 0033 0020 0062 0011 0800 0009 -234Banco Triangulo SA N 0052 0022 0105 0027 0841 0004 -4148Banco Guanabara SA N 0046 0019 0091 0020 0793 0004 -5561Banco Cedula SA N 0062 0011 0359 0067 0749 0003 -9911Banco Cacique SA N 0049 0020 0157 0048 0791 0016 -1315Banco Luso Brasileiro SA N 0066 0022 0241 0055 0870 0005 -2851Banco Pecunia SA N 0032 0027 0036 0003 0787 0003 -6876Banco Zogbi SA N 0032 0026 0037 0005 0784 0002 -13006Banco Daycoval SA N 0053 0019 0139 0036 0784 0004 -6065Banco John Deere SA N 0035 0016 0073 0016 0761 0003 -8278Banco AJ Renner SA N 0047 0021 0083 0015 0844 0006 -2553ABN Amro F 0035 0027 0047 0006 0889 0002 -7231Chase F 0054 0013 0157 0033 0804 0007 -2702LLoyds F 0033 0020 0043 0008 0821 0003 -5429BankBoston F 0036 0026 0060 0011 0888 0006 -1917Santander Brasil F 0055 0025 0115 0030 0864 0008 -1647Citibank F 0051 0020 0132 0025 0860 0003 -4735BNL F 0036 0026 0062 0012 0843 0005 -2959Sudameris F 0036 0031 0040 0004 0949 0011 -468Societe Generale F 0051 0018 0104 0024 0835 0007 -2454Europeu F 0034 0025 0041 0006 0859 0007 -2076ABC-Brasil F 0043 0026 0086 0015 0813 0003 -5797Dresdner F 0050 0014 0190 0046 0824 0004 -3975AGF Braseg F 0044 0024 0068 0014 0810 0005 -4109HSBC F 0052 0031 0110 0021 0948 0007 -776Deutsche F 0054 0012 0166 0030 0866 0005 -2754BNP Paribas F 0049 0028 0073 0013 0818 0004 -4092Barclays F 0065 0028 0121 0027 0811 0005 -4028Rabobank Int Brasil SA F 0047 0017 0102 0017 0845 0003 -4605B Nat de Paris Brasil SA F 0036 0017 0054 0013 0819 0005 -3304Ibibank SA - Banco Multiplo F 0043 0010 0114 0025 0782 0013 -1623Dresdner Bank - B Multiplo F 0096 0015 0270 0076 0785 0007 -2924Banco Westlb Do Brasil SA F 0041 0026 0062 0013 0853 0010 -154Banco GE Capital SA F 0054 0026 0253 0049 0862 0010 -1444B Com Uruguai SA F 0070 0017 0220 0058 0849 0003 -4471S - State-owned bank N - National bank and F - Foreign bank

44

Table A8 Estimates of Lerner index and return to scale by bank - Model (3)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0034 0090 0016 0941 0008 -772Banrisul S 0051 0032 0108 0016 0938 0008 -772BEC S 0035 0018 0051 0009 0856 0009 -1562BRB S 0052 0032 0122 0018 0958 0002 -1793BB S 0052 0035 0085 0015 0951 0006 -809Caixa Economica Federal S 0054 0039 0098 0014 1015 0003 465B da Amazonia SA S 0053 0014 0113 0024 0845 0008 -1977B do Estado Do Para SA S 0049 0028 0071 0010 0947 0005 -1117B do E do Maranhao SA S 0041 0032 0059 0008 0957 0015 -285B do E do Piauı SA - Bep S 0041 0028 0086 0014 0882 0005 -2518B do Estado De Sergipe SA S 0052 0021 0145 0022 0957 0004 -1182Nossa Caixa - N Banco SA S 0045 0029 0081 0015 0971 0005 -651Bradesco N 0052 0029 0101 0021 0893 0004 -2614Itau N 0054 0025 0203 0034 0872 0003 -4328Safra N 0048 0029 0093 0015 0869 0003 -5008Unibanco N 0041 0028 0067 0010 0874 0001 -8514Mercantil Do Brasil N 0053 0026 0095 0018 0939 0002 -29BBM N 0067 0013 0250 0056 0789 0005 -4501BMC N 0038 0024 0069 0010 0849 0003 -4408BMG N 0067 0015 0233 0058 0776 0004 -6374JMalucelli N 0052 0022 0087 0016 0720 0003 -9426PEBB N 0045 0014 0158 0040 0727 0009 -3192SS N 0057 0025 0231 0046 0797 0007 -287Sofisa N 0053 0018 0116 0026 0807 0002 -8444BIC N 0059 0030 0250 0049 0850 0006 -2596Schahin N 0048 0023 0220 0038 0842 0007 -2424Stock N 0083 0017 0304 0077 0838 0006 -2873Pine N 0049 0019 0105 0020 0810 0004 -5103Socopa N 0050 0026 0111 0018 0903 0003 -3253Intercap N 0055 0020 0196 0036 0828 0006 -283Indusval N 0062 0029 0282 0052 0863 0005 -2588Bonsucesso N 0051 0017 0118 0025 0789 0006 -3771Industrial do Brasil N 0046 0025 0086 0015 0815 0002 -8341Votorantim N 0050 0027 0128 0027 0809 0007 -2664Cacique N 0037 0020 0048 0009 0781 0005 -4645Inter Amex N 0039 0026 0058 0009 0842 0006 -2468Alfa N 0044 0031 0072 0011 0801 0002 -11998Rendimento N 0049 0022 0078 0011 0885 0008 -1463Bancoob N 0066 0057 0077 0007 0854 0003 -4342Original N 0102 0019 0301 0096 0730 0006 -4526Banco Intermedium SA N 0059 0027 0083 0020 0752 0006 -4354

Table A8 ndash Continue on next page

45

Table A8 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0017 0217 0054 0776 0003 -7084Banco BBN SA N 0038 0022 0058 0010 0831 0011 -1492B Cooperativo Sicredi SA N 0047 0035 0071 0010 0879 0005 -259B Cooperativo do Brasil SA N 0046 0035 0128 0020 0919 0006 -1339Banco Topazio SA N 0075 0036 0153 0041 0855 0005 -2657Banco Gerador SA N 0091 0057 0144 0034 0869 0008 -173Banco Randon SA N 0124 0029 0332 0112 0799 0005 -4023Parana Banco SA N 0036 0021 0071 0012 0797 0008 -2452Banco Triangulo SA N 0053 0023 0115 0027 0839 0004 -4256Banco Guanabara SA N 0047 0020 0100 0019 0790 0004 -561Banco Cedula SA N 0066 0012 0362 0068 0747 0003 -10082Banco Cacique SA N 0063 0026 0231 0074 0789 0016 -1336Banco Luso Brasileiro SA N 0066 0026 0249 0053 0865 0005 -2985Banco Pecunia SA N 0034 0029 0041 0004 0784 0003 -7038Banco Zogbi SA N 0036 0027 0046 0006 0782 0002 -13399Banco Daycoval SA N 0054 0019 0131 0034 0784 0004 -607Banco John Deere SA N 0039 0015 0083 0018 0761 0003 -8316Banco AJ Renner SA N 0049 0024 0073 0013 0840 0006 -2621ABN Amro F 0041 0030 0066 0009 0890 0002 -6866Chase F 0059 0013 0173 0039 0801 0007 -2733LLoyds F 0038 0021 0055 0010 0821 0003 -5484BankBoston F 0040 0028 0063 0012 0888 0006 -1931Santander Brasil F 0056 0028 0107 0027 0866 0008 -1663Citibank F 0052 0022 0123 0023 0860 0003 -4735BNL F 0039 0028 0063 0014 0841 0005 -2966Sudameris F 0041 0036 0052 0006 0948 0011 -473Societe Generale F 0052 0020 0103 0022 0833 0006 -2579Europeu F 0038 0030 0049 0007 0856 0007 -2153ABC-Brasil F 0046 0029 0079 0014 0813 0003 -5935Dresdner F 0055 0014 0212 0052 0822 0005 -3913AGF Braseg F 0046 0027 0071 0014 0806 0005 -4276HSBC F 0053 0032 0101 0019 0949 0007 -784Deutsche F 0058 0013 0141 0029 0863 0005 -2878BNP Paribas F 0051 0030 0074 0012 0818 0004 -4118Barclays F 0066 0025 0130 0030 0805 0005 -4123Rabobank Int Brasil SA F 0049 0019 0109 0018 0844 0003 -4752B Nat de Paris Brasil SA F 0041 0019 0069 0018 0817 0005 -3368Ibibank SA - Banco Multiplo F 0046 0010 0095 0021 0781 0014 -1617Dresdner Bank - B Multiplo F 0093 0017 0282 0072 0782 0008 -2899Banco Westlb Do Brasil SA F 0044 0027 0069 0015 0850 0009 -1591Banco GE Capital SA F 0055 0026 0249 0046 0859 0009 -1489B Com Uruguai SA F 0071 0017 0228 0056 0845 0003 -46241S - State-owned bank N - National bank and F - Foreign bank

46

Table A9 Estimates of Lerner index and return to scale by bank - Model (4)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0054 0041 0078 0011 0939 0007 -873Banrisul S 0055 0040 0106 0014 0948 0008 -692BEC S 0046 0020 0072 0014 0846 0009 -1746BRB S 0057 0032 0094 0016 0959 0002 -1673BB S 0057 0038 0095 0014 0981 0006 -33Caixa Economica Federal S 0061 0049 0165 0021 1042 0003 1249B da Amazonia SA S 0056 0015 0117 0022 0844 0008 -2047B do Estado Do Para SA S 0059 0025 0103 0020 0936 0004 -1701B do E Do Maranhao SA S 0052 0044 0062 0005 0936 0014 -448B do E Do Piauı SA - Bep S 0054 0029 0147 0028 0865 0004 -3201B do Estado De Sergipe SA S 0061 0023 0168 0026 0947 0004 -1484Nossa Caixa - N Banco SA S 0054 0035 0085 0012 0977 0004 -547Bradesco N 0056 0036 0107 0017 0919 0004 -2123Itau N 0058 0030 0212 0032 0896 0003 -3979Safra N 0052 0035 0107 0013 0882 0003 -445Unibanco N 0052 0035 0082 0013 0892 0001 -7446Mercantil Do Brasil N 0057 0027 0093 0015 0942 0002 -2687BBM N 0075 0015 0294 0064 0784 0005 -4512BMC N 0050 0029 0074 0011 0846 0003 -472BMG N 0065 0016 0202 0047 0779 0003 -7192JMalucelli N 0048 0022 0071 0014 0720 0003 -8923PEBB N 0061 0016 0172 0044 0704 0008 -382SS N 0056 0033 0213 0037 0799 0007 -2875Sofisa N 0053 0020 0087 0019 0805 0002 -9731BIC N 0061 0033 0269 0048 0854 0005 -2768Schahin N 0053 0027 0205 0034 0836 0006 -2627Stock N 0081 0020 0265 0068 0820 0006 -3122Pine N 0052 0022 0118 0021 0808 0004 -5467Socopa N 0054 0026 0114 0016 0888 0003 -3785Intercap N 0057 0023 0203 0035 0815 0006 -2877Indusval N 0062 0029 0239 0043 0857 0005 -3085Bonsucesso N 0052 0019 0088 0018 0782 0005 -403Industrial do Brasil N 0050 0030 0076 0015 0809 0002 -9427Votorantim N 0051 0036 0102 0017 0817 0008 -2222Cacique N 0050 0023 0067 0013 0776 0005 -4659Inter Amex N 0052 0035 0064 0009 0837 0007 -2226Alfa N 0048 0039 0071 0007 0805 0002 -11484Rendimento N 0052 0022 0076 0013 0874 0008 -1571Bancoob N 0057 0045 0071 0011 0855 0003 -5022Original N 0094 0017 0278 0090 0730 0006 -4242Banco Intermedium SA N 0049 0027 0065 0014 0746 0006 -4054

Table A9 ndash Continue on next page

47

Table A9 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0019 0220 0050 0764 0003 -7516Banco BBN SA N 0050 0027 0072 0013 0819 0012 -1529B Cooperativo Sicredi SA N 0051 0041 0068 0006 0875 0005 -2551B Cooperativo do Brasil SA N 0053 0044 0134 0018 0910 0006 -151Banco Topazio SA N 0066 0035 0128 0036 0837 0005 -2981Banco Gerador SA N 0082 0045 0157 0043 0854 0007 -1967Banco Randon SA N 0106 0026 0312 0105 0786 0005 -4204Parana Banco SA N 0048 0025 0102 0018 0787 0008 -2768Banco Triangulo SA N 0054 0027 0088 0021 0834 0004 -427Banco Guanabara SA N 0051 0023 0161 0025 0780 0004 -5659Banco Cedula SA N 0069 0012 0360 0065 0735 0003 -1028Banco Cacique SA N 0073 0027 0240 0075 0786 0016 -1327Banco Luso Brasileiro SA N 0065 0026 0242 0047 0852 0004 -346Banco Pecunia SA N 0045 0037 0056 0006 0773 0003 -7139Banco Zogbi SA N 0048 0036 0064 0010 0779 0001 -15057Banco Daycoval SA N 0055 0022 0126 0030 0784 0004 -568Banco John Deere SA N 0056 0018 0125 0031 0757 0003 -8084Banco AJ Renner SA N 0051 0025 0077 0013 0829 0006 -2763ABN Amro F 0053 0038 0074 0013 0909 0002 -4803Chase F 0066 0014 0220 0046 0793 0008 -2711LLoyds F 0050 0026 0060 0011 0825 0003 -5323BankBoston F 0054 0038 0092 0018 0899 0006 -1734Santander Brasil F 0056 0033 0098 0019 0885 0007 -1529Citibank F 0059 0025 0145 0030 0872 0003 -421BNL F 0052 0039 0091 0018 0840 0006 -2854Sudameris F 0053 0046 0062 0005 0961 0011 -352Societe Generale F 0058 0023 0144 0028 0827 0006 -2968Europeu F 0052 0031 0069 0012 0849 0007 -23ABC-Brasil F 0051 0028 0091 0015 0815 0003 -6225Dresdner F 0078 0017 0271 0071 0816 0005 -339AGF Braseg F 0050 0030 0094 0015 0797 0004 -4873HSBC F 0057 0045 0116 0016 0966 0006 -562Deutsche F 0066 0013 0151 0034 0858 0004 -3316BNP Paribas F 0050 0036 0071 0010 0823 0005 -3772Barclays F 0057 0024 0102 0025 0777 0007 -3003Rabobank Int Brasil SA F 0057 0021 0157 0026 0842 0003 -5266B Nat de Paris Brasil SA F 0059 0023 0102 0030 0812 0006 -3387Ibibank SA - Banco Multiplo F 0056 0012 0100 0023 0781 0015 -148Dresdner Bank - B Multiplo F 0084 0016 0237 0064 0771 0008 -2798Banco Westlb Do Brasil SA F 0061 0033 0101 0025 0841 0010 -1646Banco GE Capital SA F 0063 0031 0238 0044 0853 0010 -1548B Com Uruguai SA F 0074 0020 0226 0056 0833 0003 -51921S - State-owned bank N - National bank and F - Foreign bank

48

Table A10 Estimates of Lerner index and return to scale by bank - Model (5)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0043 0093 0012 0940 0007 -834Banrisul S 0054 0041 0083 0009 0949 0008 -668BEC S 0046 0020 0075 0014 0846 0009 -1719BRB S 0058 0032 0121 0017 0960 0002 -1607BB S 0056 0037 0087 0010 0981 0006 -321Caixa Economica Federal S 0061 0050 0156 0019 1044 0003 1282B da Amazonia SA S 0057 0016 0115 0023 0843 0008 -2023B do Estado Do Para SA S 0059 0027 0102 0020 0938 0004 -1608B do E Do Maranhao SA S 0052 0042 0064 0006 0939 0015 -418B do E Do Piauı SA - Bep S 0054 0029 0138 0025 0866 0004 -3097B do Estado De Sergipe SA S 0059 0024 0136 0020 0949 0004 -1404Nossa Caixa - N Banco SA S 0055 0036 0088 0013 0979 0004 -494Bradesco N 0056 0037 0108 0016 0918 0004 -2108Itau N 0058 0031 0213 0033 0894 0003 -3968Safra N 0052 0036 0086 0010 0881 0003 -4388Unibanco N 0053 0037 0085 0013 0892 0001 -7433Mercantil Do Brasil N 0057 0027 0086 0012 0943 0002 -2619BBM N 0075 0015 0292 0063 0784 0005 -447BMC N 0050 0029 0077 0012 0846 0003 -4648BMG N 0067 0017 0220 0051 0777 0003 -7116JMalucelli N 0049 0022 0083 0016 0718 0003 -8879PEBB N 0060 0017 0176 0044 0704 0008 -3743SS N 0059 0032 0223 0041 0798 0007 -2847Sofisa N 0055 0021 0112 0022 0804 0002 -9624BIC N 0060 0032 0238 0041 0853 0005 -2725Schahin N 0055 0028 0228 0038 0836 0006 -2575Stock N 0082 0019 0267 0068 0821 0006 -3063Pine N 0052 0022 0096 0018 0808 0004 -5392Socopa N 0055 0027 0113 0016 0889 0003 -3694Intercap N 0060 0023 0210 0037 0814 0006 -2856Indusval N 0062 0029 0245 0044 0857 0005 -3023Bonsucesso N 0053 0020 0113 0022 0781 0005 -3999Industrial do Brasil N 0051 0030 0084 0016 0808 0002 -9274Votorantim N 0052 0037 0130 0022 0816 0008 -2227Cacique N 0049 0024 0065 0012 0775 0005 -4632Inter Amex N 0052 0034 0067 0011 0837 0007 -2236Alfa N 0047 0041 0056 0004 0804 0002 -11448Rendimento N 0053 0022 0079 0011 0874 0008 -1549Bancoob N 0056 0050 0064 0005 0856 0003 -4874Original N 0087 0018 0288 0093 0728 0006 -4259Banco Intermedium SA N 0055 0027 0078 0019 0744 0006 -4047

Table A10 ndash Continue on next page

49

Table A10 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0217 0048 0763 0003 -7417Banco BBN SA N 0051 0026 0075 0014 0820 0012 -1504B Cooperativo Sicredi SA N 0051 0040 0061 0005 0876 0005 -2499B Cooperativo do Brasil SA N 0054 0043 0136 0019 0912 0006 -1445Banco Topazio SA N 0061 0034 0109 0026 0838 0006 -2897Banco Gerador SA N 0073 0052 0124 0026 0855 0008 -1918Banco Randon SA N 0120 0024 0327 0114 0785 0005 -4153Parana Banco SA N 0048 0026 0106 0020 0786 0008 -2732Banco Triangulo SA N 0055 0027 0111 0022 0834 0004 -4227Banco Guanabara SA N 0052 0024 0153 0024 0779 0004 -5589Banco Cedula SA N 0069 0012 0339 0062 0734 0003 -10232Banco Cacique SA N 0076 0027 0246 0076 0785 0016 -1317Banco Luso Brasileiro SA N 0067 0027 0207 0047 0852 0004 -3379Banco Pecunia SA N 0046 0038 0054 0006 0773 0003 -71Banco Zogbi SA N 0047 0037 0061 0010 0778 0001 -14931Banco Daycoval SA N 0054 0022 0126 0026 0782 0004 -5661Banco John Deere SA N 0056 0018 0129 0031 0756 0003 -8043Banco AJ Renner SA N 0053 0025 0080 0015 0829 0006 -2716ABN Amro F 0053 0038 0074 0012 0908 0002 -4751Chase F 0067 0014 0225 0047 0792 0008 -2693LLoyds F 0049 0025 0064 0012 0824 0003 -5227BankBoston F 0054 0037 0096 0020 0899 0006 -1701Santander Brasil F 0057 0033 0103 0019 0884 0008 -1511Citibank F 0059 0026 0154 0028 0871 0003 -4204BNL F 0052 0037 0097 0020 0840 0006 -28Sudameris F 0052 0045 0058 0005 0962 0011 -334Societe Generale F 0060 0023 0151 0031 0827 0006 -2924Europeu F 0050 0032 0066 0012 0849 0007 -2263ABC-Brasil F 0051 0025 0079 0014 0814 0003 -617Dresdner F 0080 0017 0276 0073 0816 0005 -3374AGF Braseg F 0050 0031 0093 0015 0796 0004 -4812HSBC F 0057 0043 0093 0011 0966 0006 -541Deutsche F 0066 0013 0155 0035 0858 0004 -3244BNP Paribas F 0050 0035 0067 0008 0822 0005 -3775Barclays F 0056 0024 0113 0025 0778 0007 -305Rabobank Int Brasil SA F 0057 0021 0163 0027 0842 0003 -5208B Nat de Paris Brasil SA F 0058 0022 0100 0029 0812 0006 -3343Ibibank SA - Banco Multiplo F 0057 0012 0099 0023 0780 0015 -1478Dresdner Bank - B Multiplo F 0087 0016 0244 0068 0770 0008 -2768Banco Westlb Do Brasil SA F 0063 0034 0106 0026 0841 0010 -1625Banco GE Capital SA F 0064 0032 0247 0046 0853 0010 -1522B Com Uruguai SA F 0073 0019 0191 0049 0833 0003 -50981S - State-owned bank N - National bank and F - Foreign bank

50

Table A11 Estimates of Lerner index and return to scale by bank - Model (6)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0036 0096 0015 0939 0007 -855Banrisul S 0050 0035 0098 0014 0938 0008 -82BEC S 0041 0019 0067 0012 0855 0009 -1644BRB S 0053 0029 0124 0018 0956 0002 -1996BB S 0051 0032 0088 0013 0954 0006 -807Caixa Economica Federal S 0054 0040 0094 0012 1014 0003 475B da Amazonia SA S 0053 0015 0103 0022 0846 0008 -205B do Estado Do Para SA S 0051 0028 0074 0013 0943 0004 -1319B do E Do Maranhao SA S 0041 0031 0059 0008 0950 0014 -346B do E Do Piauı SA - Bep S 0042 0028 0084 0012 0879 0004 -2727B do Estado De Sergipe SA S 0052 0022 0153 0022 0953 0003 -1377Nossa Caixa - N Banco SA S 0047 0032 0081 0014 0969 0004 -74Bradesco N 0052 0032 0097 0019 0898 0004 -2645Itau N 0054 0027 0190 0031 0877 0003 -4452Safra N 0049 0032 0100 0015 0872 0003 -5056Unibanco N 0043 0032 0067 0010 0878 0001 -8666Mercantil Do Brasil N 0053 0026 0087 0017 0938 0002 -3104BBM N 0066 0013 0251 0056 0792 0005 -4556BMC N 0041 0026 0069 0011 0850 0003 -4582BMG N 0067 0016 0228 0057 0781 0003 -6611JMalucelli N 0051 0022 0089 0017 0725 0003 -9344PEBB N 0046 0015 0157 0039 0728 0008 -3313SS N 0058 0025 0230 0046 0801 0007 -292Sofisa N 0053 0020 0119 0025 0809 0002 -8846BIC N 0060 0029 0262 0049 0852 0005 -2697Schahin N 0049 0025 0229 0040 0843 0006 -2523Stock N 0081 0017 0284 0072 0836 0005 -2986Pine N 0049 0021 0112 0019 0812 0004 -5267Socopa N 0050 0026 0095 0015 0900 0003 -3515Intercap N 0055 0021 0196 0035 0828 0006 -2899Indusval N 0061 0029 0262 0049 0863 0005 -2762Bonsucesso N 0052 0019 0123 0026 0791 0005 -3885Industrial do Brasil N 0046 0027 0088 0015 0816 0002 -8698Votorantim N 0051 0027 0139 0027 0813 0007 -262Cacique N 0039 0022 0050 0009 0784 0005 -4707Inter Amex N 0045 0027 0064 0012 0843 0006 -2493Alfa N 0044 0033 0068 0009 0805 0002 -12111Rendimento N 0050 0022 0073 0010 0883 0008 -1543Bancoob N 0066 0055 0072 0007 0856 0003 -4559Original N 0098 0020 0294 0094 0735 0006 -4509Banco Intermedium SA N 0057 0024 0085 0022 0756 0006 -4324

Table A11 ndash Continue on next page

51

Table A11 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0061 0017 0195 0048 0777 0003 -7233Banco BBN SA N 0042 0023 0059 0012 0831 0011 -1529B Cooperativo Sicredi SA N 0048 0035 0066 0009 0879 0005 -2672B Cooperativo do Brasil SA N 0046 0034 0119 0017 0917 0006 -1439Banco Topazio SA N 0070 0031 0129 0036 0853 0005 -2776Banco Gerador SA N 0086 0057 0148 0034 0867 0007 -1825Banco Randon SA N 0126 0028 0331 0114 0799 0005 -4136Parana Banco SA N 0039 0023 0082 0015 0798 0008 -2556Banco Triangulo SA N 0052 0025 0116 0025 0840 0004 -4363Banco Guanabara SA N 0048 0021 0100 0019 0792 0004 -5683Banco Cedula SA N 0067 0013 0356 0067 0749 0002 -10205Banco Cacique SA N 0067 0026 0232 0073 0792 0015 -1356Banco Luso Brasileiro SA N 0065 0025 0237 0052 0864 0004 -3163Banco Pecunia SA N 0037 0029 0045 0006 0786 0003 -7158Banco Zogbi SA N 0037 0027 0045 0007 0785 0002 -13921Banco Daycoval SA N 0053 0020 0120 0031 0787 0003 -6088Banco John Deere SA N 0043 0017 0099 0022 0764 0003 -8346Banco AJ Renner SA N 0050 0025 0080 0013 0840 0006 -2706ABN Amro F 0043 0035 0067 0008 0894 0002 -6685Chase F 0059 0014 0189 0040 0803 0007 -2772LLoyds F 0039 0021 0055 0012 0824 0003 -5536BankBoston F 0044 0029 0075 0015 0890 0006 -1965Santander Brasil F 0054 0028 0107 0024 0871 0008 -1694Citibank F 0054 0023 0133 0026 0863 0003 -4787BNL F 0042 0028 0078 0018 0843 0005 -2998Sudameris F 0041 0036 0052 0006 0948 0010 -491Societe Generale F 0054 0020 0118 0025 0834 0006 -2716Europeu F 0038 0029 0049 0008 0856 0006 -2239ABC-Brasil F 0046 0028 0084 0014 0816 0003 -6111Dresdner F 0063 0015 0239 0061 0823 0005 -3888AGF Braseg F 0047 0027 0074 0014 0807 0004 -4477HSBC F 0054 0032 0109 0018 0950 0006 -823Deutsche F 0058 0013 0122 0028 0863 0004 -305BNP Paribas F 0051 0032 0070 0011 0822 0004 -4145Barclays F 0064 0024 0128 0029 0802 0005 -4051Rabobank Int Brasil SA F 0051 0019 0130 0021 0846 0003 -4992B Nat de Paris Brasil SA F 0043 0019 0070 0019 0819 0005 -3429Ibibank SA - Banco Multiplo F 0049 0010 0083 0020 0785 0013 -161Dresdner Bank - B Multiplo F 0087 0016 0261 0066 0783 0007 -2901Banco Westlb Do Brasil SA F 0051 0030 0082 0019 0850 0009 -1643Banco GE Capital SA F 0053 0028 0239 0044 0859 0009 -1544B Com Uruguai SA F 0071 0017 0217 0054 0845 0003 -48451S - State-owned bank N - National bank and F - Foreign bank

52

Seacuterie de Textos para Discussatildeo do Curso de Ciecircncias Econocircmicas ndash FACEUFG ndash TD [078]

EDITORIAL FACE ndash Faculdade de Administraccedilatildeo Ciecircncias Contaacutebeis e Ciecircncias Econocircmicas Curso de Ciecircncias Econocircmicas Direccedilatildeo FACE Prof Moiseacutes Ferreira da Cunha Vice-Direccedilatildeo FACE Profordf Andreacutea Freire de Lucena Coordenaccedilatildeo do Curso de Ciecircncias Econocircmicas Prof Tiago Camarinha Lopes NEPEC ndash Nuacutecleo de Estudos e Pesquisas Econocircmicas Coordenaccedilatildeo Prof Seacutergio Fornazier Meyrelles Filho SEacuteRIE DE TEXTOS PARA DISCUSSAtildeO DO CURSO DE CIEcircNCIAS ECONOcircMICAS DA UFG Coordenaccedilatildeo e Equipe de Editoraccedilatildeo Prof Sandro Eduardo Monsueto Adriana Moura Guimaratildees Matheus Henrique de Arauacutejo Dutra

Endereccedilo Campus Samambaia Preacutedio da FACE ndash Rodovia GoiacircniaNova Veneza km 0 ndash CEP 74690-900 Goiacircnia ndash GO Tel (62) 3521 ndash 1390 URL httpwwwfaceufgbreconomia Publicaccedilatildeo cujo objetivo eacute divulgar resultados de estudos que contam com a participaccedilatildeo de pesquisadores do NEPEC As opiniotildees contidas nesta publicaccedilatildeo satildeo de inteira responsabilidade do(s) autor(es) natildeo representando necessariamente o ponto de vista do NEPEC ou da FACEUFG Eacute permitida a reproduccedilatildeo desde que citada a fonte

Page 4: 1(3(& )$&( 8)* · The Dark Side of Prudential MeasuresI Paulo R. Scalco a, Benjamin M. Tabak1, Anderson M. Teixeira aFaculty of Management, Accounting and Economics, Federal University

1 Introduction

The financial crisis that hit the economies of the world from 2007 to 2009 reinvigorated

the debate on how to regulate banks and other financial institutions to ensure financial

stability Before the global financial crisis (GFC) financial regulation for banks and other

financial intermediaries was focused on instruments aimed at reducing the risk of bankruptcy

ie microprudential measures However as seen in the GFC the bankruptcy of a large

financial institution (FI) put at risk the solvency of the system as a whole and raised concerns

about global financial stability Since then systemic risk became the focus of financial

regulation - macroprudential measures

The implementation of this new set of micro and macroprudential measures has raised

several challenges for assessing the impact of such measures on banks and the financial

system as a whole and spurred a vast literature on the subject One of the main challenges

is to evaluate the effectiveness of macroprudential policies concerning the central objective

of increasing resilience Besides that to smooth the business cycles of the financial system

(Claessens et al 2013 Claessens amp Laeven 2004 Cerutti et al 2017a Jimenez et al 2017

Altunbas et al 2018 Ely et al 2019 Klingelhoger amp Sun 2019 Richter et al 2019)

To the best of our knowledge we note that most of the research focuses on analyzing

the impact of prudential measures (micro and macroprudential) on bank loans risk-taking

behavior of the FI or transmission of monetary policies however not directly on the (in)

efficiency of the credit market There are few exceptions The first is the work of Cubillas

amp Suarez (2018) that investigates the negative impact of the GFC on the availability of

credit and find that the increase of the banksrsquo market power neutralized this effect The

relevant fact of this study is that this neutralizing effect on the availability of credit caused

by the increase in market power is more significant in countries with fewer restrictions on

the activities of banks or less power of official supervision of financial institutions

The second is Ayyagari et al (2018) combining balance sheet data on 900000 firms

from 48 countries between 2003 and 2011 with detailed data on the use of macroprudential

policy instruments The main result indicate that macroprudential policies are negatively

2

associated with firm financing growth

In light of this situation this article in a pioneering way investigates the influence of

some prudential measures (micro and macroprudential) on the market power of Brazilian

banks using a new class of market power estimation models based on border techniques

(Stochastic Frontier Analysis - SFA) initially proposed by Kumbhakar et al (2012)

The central hypothesis formulated in this paper is that prudential rules to which FIs are

subject may affect banks market power According to Claessens amp Laeven (2004) any policy

that restricts banking activity and makes it challenging to operate has negative impacts on

market competition since it enables large banks to increase their market power Therefore

a strict prudential regulatory framework could affect concentration indices and influence the

market power of FIs since the implementation of Basel I agreements in 1988

Our main contribution is to demonstrate that tightening on prudential measures has

a positive impact on bank mark-ups and therefore detrimental effects on competition in

the Brazilian banking industry Although not wholly comparable intuitively our results

are contrary to those of Cubillas amp Suarez (2018) A second empirical verification was to

establish a positive relationship between concentration and mark-up in the same sense estab-

lished by the traditional structure-conduct-performance paradigm of industrial organization

literature

Another contribution concerns the empirical method For the first time we employ

SFA models to estimate market power for Brazilian banks on an individual basis With

the estimation of the Lerner indexes for each bank it is possible to evaluate the market

power according to ownership and to verify that state-owned banks have market power

slightly lower than the private banks and foreign banks respectively Finally we also obtain

estimates of returns to scale that provides some evidence that Brazilrsquos financial institutions

operate with decreasing returns to scale

Although there is a large body of literature that shows the positive effects of prudential

measures ndash micro and macro ndash there is scarce literature that discusses the adverse effects of

these policies Most of the literature focuses on the effectiveness of these measures (Claessens

et al 2013 Cerutti et al 2017ab Jimenez et al 2017 Altunbas et al 2018 Ely et al

3

2019 Klingelhoger amp Sun 2019 Richter et al 2019) We present evidence that this effect

comes with a cost This reult is even more true for countries with imperfect credit markets

such as Brazil in which banking spreads are very high in real terms

We organize the remainder of the paper as follows In section two we present related

literature We present the empirical model in section three while we describe the database

and the empirical strategy in section four In the fifth section we present our main results

and in the sixth and last section we present our final considerations

2 Brief Literature Review

We can divide the literature related to our article into two groups The first group focuses

on the effectiveness of prudential measures while the second focuses on the traditional

literature of industrial organization more specifically on the estimation of market power

Before GFC the focus of financial regulation for banks and other financial intermediaries

was on instruments aimed at reducing the risk of bankruptcy ie measures of a micropru-

dential nature and not on the financial system as a whole However as seen in the GFC the

bankruptcy of a large FI put at risk the solvency of the system as a whole When a large

FI fails there is potential for amplification and contagion in the banking system These

effects may lead to cascade failures in the financial system which can provoke a significant

shock that affects the real sector adversely In order to account for the interconnections that

may exist between financial system players financial regulation changed its focus to curb

systemic risk using macroprudential measures

The works of Moreno (2011) Galati amp Moessner (2013) Lim et al (2011) Claessens

et al (2013) Claessens (2015) and Freixas et al (2015) summarize the main prudential

instruments (microprudential and macroprudential) implemented by developed and devel-

oping countries Also they present their meaning and purpose to mitigate the probability

of bankruptcy of FIs and the systemic risk arising from the procyclicality and the intercon-

nectivity between FIs

Among the empirical studies Lim et al (2011) analyze the links between macroprudential

policies and the development of the credit market and bank leverage They find evidence

4

suggesting that the presence of policies such as limits on maximum loan value (LTV) limits of

indebtedness (DTI) limits of credit growth capital reserve requirements and dynamic rules

of provisioning are associated with reductions in the procyclicality of credit and leverage

Claessens et al (2013) investigate how the change in the individual balance sheets of

banks in 48 countries in the period 2000-2010 responds to specific changes in some macro-

legal measures Among the main results the authors show that the maximum limits of

LTV DTI and the maximum limits of foreign currency lending are effective in reducing the

growth of bank leverage and the price of assets

Aiyar et al (2014) show that in response to stricter capital requirements (capital re-

quirement) regulated banks reduce borrowing while unregulated banks may even increase

Gropp et al (2018) study the requirement for higher capital requirements Its results point

to a reduction in credit and a smaller search for capital to meet the new targets Auer

amp Ongena (2019) find that an additional capital requirement on real estate loans leads to

growth in the retail lending channel

In addition to this empirical evidence Cerutti et al (2017a) using an IMF survey cover-

ing the use of twelve macroprudential measures in 119 countries over the period 2000-2013

indicate that in general emerging countries use intensely such instruments Also instru-

ments such as LTV and others that limit the level of indebtedness are associated with the

decline in credit growth especially real estate lending

Other studies however focusing on a few prudential measures and for few countries also

stand out Igan amp Kang (2011) investigate only the effectiveness of LTV and DTI measures

in Korea Wong et al (2011) also use only the LTV and DTI measures to investigate the

behavior of real estate credit and real estate prices in Hong Kong Camors amp Peydro (2014)

investigate the effect of capital withdrawal in Uruguay in the year 2008 Aiyar et al (2014)

also investigate the capital requirement for UK banks and confirm a substantial effect on

the bank loan Finally more recently Altunbas et al (2018) direct the investigation of the

effectiveness of macroprudential measures for the risk behavior of banks

Overall this literature shows that for different countries samples and prudential mea-

sures there is a positive effect on systemic risk Countries that implement these measures

5

can reduce their lending growth to more sustainable levels and improve their financial sta-

bility However what is the costs of these measures Is there a trade-off in using such

measures We now discuss the market power and bank competition literature to assess the

second strand of the literature that helps us make our connection

In the competition-related literature in the banking industry research models and ap-

proaches generally have a limitation due to the structure and availability of data However

the model of Panzar amp Rosse (1987) - PR - is a standard method when one wants to evaluate

the degree of competition in the industry Only in Brazil we can cite the works of Belaisch

(2003) Araujo amp Jorge Neto (2007) Lucinda (2010) Tabak et al (2012) Silva Barbosa

et al (2015) Tabak amp Gomes (2015) and Cardoso et al (2016) In our investigation we

found only two other studies that did not use the PR model Nakane (2002) uses a structural

model as proposed by Bresnahan amp Reiss (1991) and Coelho et al (2013) use a bank entry

model developed by Bresnahan (1982) Internationally the literature is vast and Bikker

et al (2012) offers a comprehensive survey of the literature developed around the world

Most papers that use the PR H-statistic assume it has a monotonic relationship with

bank competition Panzar amp Rosse (1987) did not establish this monotonic relation between

H-Statistic and the degree of market competition The magnitude of the H-Statistic relates

to ranges of values that refer to the hypothesis underlying the market structure Thus it does

not represent a monotonic relationship with the degree of market power (Panzar amp Rosse

1987 Bikker et al 2012 Cardoso et al 2016) Another problem is that the hypotheses

underlying the equilibria of monopolistic and perfect competition in the PR model use

another extremely restrictive set of hypotheses An important one is that the observed data

is from firms that operate in long-term equilibrium Also the model is susceptible to the

variables used and the specification used in the estimation process of the model (Hyde amp

Perloff 1995) Bikker et al (2012) are more emphatic and argue that the H-Statistic does

not even have an ordinal function with the level of competition in the industry

Given that what the evidence suggests is that H-statistics is not a reliable measure of

the degree of market power in an industry At least not in a continuous sense or monotonic

of measure Hyde amp Perloff (1995) emphasize that although structural models have some

6

influence on the specifications of their functions they would still be the only models capable

of providing an estimate of the degree of market power

Given this context we will use a new class of models to measure the degree of market

power proposed by Kumbhakar et al (2012) and based on stochastic boundary analysis

techniques (SFA) The SFA models have several advantages when compared to the traditional

models of literature known as New Industrial Empirical Organization (NEIO) and allow

estimating in a single model a unified structure a mark-up measure and an indicator of

market power Also we can obtain measures of elasticity return to scale and efficiency

Among the main advantages of SFA models it is possible to emphasize the flexibility

and the low requirement of information for estimations of the models The method also

allows estimating market power with or without constant returns to scale and provides an

estimate of the degree of market power in the same style as the Lerner index (Lerner 1934)

thereby circumventing the critique of the use of H as a monotonic measure of the degree

of competition Another advantage of the method is that unlike most NEIO models this

measure of market power is not only an estimate of the average parameter of the competition

level of the industry but the method also allows estimating a measure of the degree of market

power per bank and over time In the same way it is possible to estimate the returns to

the banksrsquo scale Finally the SFA technique allows the parameter of market power to be a

function of deterministic variables

One of the pioneering works using SFA techniques in the banking industry is the work

of Coccorese (2014) In this article the author estimates the Lerner index for each bank

individually for a group of countries between 1994 and 2012 with the results being broadly

comparable with the traditional NEIO models More recently Das amp Kumbhakar (2016)

have also used this class of models to investigate the market power of Indian banks

We use this model to evaluate the effect of prudential measures on the bankrsquos market

power Combining an SFA method with data on prudential measures we can estimate these

effects We use prudential measures as explanatory variables for the market power parameter

that we estimate in the SFA

7

3 Empirical Method

31 Empirical Model

Our empirical model follows the models proposed by Coccorese (2014) and Das amp Kumb-

hakar (2016) However we incorporate the possibility that the mark-up has two components

a purely stochastic and a deterministic part The derivation of the model starts from the

equilibrium condition that for a profit-maximizing bank (P ) will be greater than or equal

to its Marginal Cost (MC)

P geMC (1)

The distance between P and MC determines the degree of market power of the bank

If we multiply both terms of the inequality in equation 1 by the ratio of the total product

(Y ) and the total cost (C) and considering that MC = partCpartY

we have

P middot YCge partC

partY

Y

C (2)

or

TR

Cge partlnC

partlnY (3)

Where TR corresponds to the total revenue and the relationship established in equation 3

states that in the same way as price deviates from its marginal cost the revenue-cost ratio

of the bank (TRC) detracts from its cost-elasticity

The inequality in equation 3 can be solved by adding a non-negative term u Thus

RC equiv TR

C=

partlnC

partlnY+ u u ge 0 (4)

RC is the observed revenue-cost ratio and partlnCpartlnY

is the cost-elasticity The non-negative

term u represents the mark-up of the bank however it can not be calculated using the

bankrsquos accounting data because the cost elasticity unlike RC must be calculated from a cost

8

function In addition the revenue-cost ratio can be affected by other unobserved variables

To accommodate this assumption we add a random error term iid v to equation 4

RC =partlnC

partlnY+ u+ v (5)

32 Primal Approach

As equation 5 has been defined we need to specify a cost function to estimate the term

u that is we are using a dual approach in the context of production theory Kumbhakar

et al (2012) show however that SFA models can use both the dual and primal approaches

to estimate market power In the dual approach the total cost of the bank depends on

the output quantity and input prices and the primal approach we can specify a produc-

tion function (or an input-distance function) where the output is a function of only input

quantities

This flexibility is essential because unlike many examples in the banking industry we do

not have information available on input prices When empirical models need this informa-

tion such as the PR model for example researchers circumvent this problem by estimating

input price estimates from accounting information such as the ratio between expenditure

and the amount of input used (expenditure on staff on total assets for example) The use

of this artifice however as highlighted by Kumbhakar et al (2012) can generate problems

in situations where the amount of input is endogenous

Thus like Das amp Kumbhakar (2016) we use the primal form as an alternative to the dual

form We start from the specification of a transformation function defined as Af(x Y T ) =

1 where f(middot) is a production function for a given technology Y is the quantity produced x

is the quantity vector of inputs used T is a trend variable capturing technological changes

and A is a parameter of neutral technological shift

Using a set of appropriate identification restrictions (Kumbhakar 2012) we can derive a

function input distance (IDF) from the transformation function given by xJ = Ah(x Y T )

or lnxJ = Ah(ln x lnY T ) where xj =xj

xJ j = 1 2 J minus 1 The IDF uses the normal-

ization that f(x Y T ) is homogeneous of degree minus1 iesum

jpartlnfpartlnxj

= minus1

9

Assuming that banks minimize the cost subject to technology specified by the production

function the Lagrangian for the minimization can be defined as

L = wrsquox + λ(Af(x Y T )minus 1) (6)

where w is a vector of input prices and the corresponding first order condition is

wj = minusλApartf(middot)partxj

j = 1 2 J (7)

Multiplying and dividing both sides by xj and f(middot) and rearranging terms we can

rewrite 7 as

wjxj = minusλAf(middot)partf(middot)partxj

xjf(middot)

= minusλAf(middot)partlnf(middot)partlnxj

j = 1 2 J (8)

If we take the sum of all inputs equation 8 becomes

C =Jsum

j=1

wjxj = minusλAf(middot)Jsum

j=1

partlnf(middot)partlnxj

rArr minusλA =C

f(middot)middot 1sumJ

j=1partlnf(middot)partlnxj

(9)

From the envelop Theorem we have that the marginal cost (MC) is partLpartYequiv MC =

λApartf(middot)partY

= 0

If we use equation 9 we can express it as

MC = minus C

f(middot)middot 1sumJ

j=1partlnf(middot)partlnxj

middot partf(middot)partY

partC

party

Y

Cequiv partlnC

partlny= minuspartf(middot)

partY

Y

f(middot)middot 1sumJ

j=1partlnf(middot)partlnxj

EC equivpartlnC

partlny= minuspartlnf(middot)

partlnYmiddot 1sumJ

j=1partlnf(middot)partlnxj

=partlnf(middot)partlnY

equiv EY (10)

Equation 10 states that the Cost Elasticity (EC) equals Product elasticity (EY ) which

can be calculated from the parameters of the distance input function (IDF) This result

10

is important because it means that we can substitute the term on the right side of the

equation 5 by product elasticity that is

RC =partlnf(middot)partlny

+ u+ v u ge 0 (11)

The advantage of estimating equation 11 rather than equation 5 is that we can estimate

mark-ups without the need for input and output prices that is we only need the information

on revenue and total cost of banks and the respective input quantities

In order to estimate the mark-up defined in equation 11 we assume that the transforma-

tion function takes a form of the translog type and apply the appropriate normalizations as

in Kumbhakar (2012) to express the transformation function in the form of an input input

function given by

lnx1 = α0 +Jminus1sumj=1

αjlnxj +1

2

Jminus1sumj=1

Jsumk=2

αjklnxjlnxk

+ αY lnY +1

2αY Y (lnY )2 +

Jminus1sumj=1

αjY lnxjlnY+ + αTT +1

2αTTT

2

+Jminus1sumj=1

αjT lnxjT + αY TT lnY

(12)

from which we can derive the product-elasticity as

EY equivpartlnx1partlnY

= αY + αY Y lnY +Jminus1sumj=1

αjY lnxj + αY TT (13)

where xj =xj

xJ j = 1 2 J minus 1

Replacing equation 13 in equation 11 we define our empirical equation as

RC = αY + αY Y lnY +Jminus1sumj=1

αjY lnxj + αY TT + u+ v (14)

As highlighted by Kumbhakar et al (2012) once that we are interested in estimating

the individual mark-up of each bank we need to focus only on 14 without the need to

11

estimate the full distance input function defined by 12 Besides since the compound error

term (ε = u + v) is the same in the SFA models we use the Maximum Likelihood method

to estimate the model (14) For this it is necessary to assume a hypothesis about the

distribution of the two components

We follow the literature and assume that the random error component v is independent

and identically distributed with a normal distribution zero mean and constant variance

that is v sim N(0 σ2v) On the other hand for the nonnegative component u representing

the banksrsquo mark-up we extend the models of by Coccorese (2014) and Das amp Kumbhakar

(2016) and separating the deviation from the competitive frontier in a deterministic part

which is a function of a vector of explanatory variables Zrsquo of the purely stochastic part

Following the SFA literature we estimate the deterministic component of mark-up si-

multaneously with the parameters of the 14 in the same way as Lopez et al (2018) This

procedure reduces possibility of bias of the estimates when the stochastic term includes

determinants of deviations Thus the mark-up (u) in 14 can be represented by

u = Zrsquoδ + ω (15)

where ω is the stochastic component of mark-up and is defined by a truncated normal

distribution with zero mean and constant variance σ2ω such that ω ge -Zrsquoδ Therefore the

mark-up (u) follows a distribution u sim N+(Zrsquoδ σ2ω)

Combining equations 14 and 15 the model we estimate is as follows

RC = αY + αY Y lnY +Jminus1sumj=1

αjY lnxj + αY TT + Zrsquoδ + ωit + v (16)

In order to verify the impact of prudential measures on the degree of competition we

have included the measures Cerutti et al (2016) as determinants of mark-up in addition to

a measure of concentration represented by the HHI calculated from the total assets of the

banks

12

33 Market Power

To measure the degree of power of each bank we use the traditional measure defined by

Lerner (1934)

L =P minusMC

P (17)

if L = 0 P = MC and for any value L gt 0 P gt MC In the limit L = 1

The connection between the SFA model (equation 16) and the Lerner index is done

rearranging the equation 5 Omitting the error term (v) for simplification we can rewrite

equation 5 as

P middot YC

partlnY

partlnCminus 1 = u

partlnY

partlnCmiddot (18)

Considering that partlnYpartlnC

= (partYpartC

)(CY

) we have

P minusMC

MC=

u

EC

middot (19)

Equation 19 corresponds to an alternative definition of mark-up called θ where the

distance between price and marginal cost is expressed as a fraction of the latter In addition

since the function input distance is dual the cost function we can substitute EC for EY in

equation 19 and after estimating equation 16 and obtain estimates of the mark-up (u) the

estimation of market power can be obtained by replacing the values estimated in equation 19

as follow

θ equiv P minusMC

MC=

u

αY + αY Y lnY +sumJminus1

j=1 αjY ln xj + αY TT (20)

This estimate can be used to obtain the traditional measure of Lerner index as in

equation 16 employing the following formula

L =θ

1 + θ (21)

13

34 Returns to Scale

Finally we can use the estimates of equation 16 to obtain other characteristics of tech-

nology such as the return to scale and the scale bias Formally EC = partlnCpartlnY

= (partCpartY

)(YC) =

MCAC where AC represents the average cost This means that the return to scale is

inversely related to cost elasticity that is RTS = 1EC If EC = 1 we will have constant re-

turns to scale if EC lt 1 we will have increasing returns (economies of scale) and if (EC gt 1)

we will have decreasing returns (diseconomies of scale) Again using the duality condition

between IDF and the cost function we can use the estimates of equation 16 to calculate the

return to scale and scale bias Respectively

RTS =1

αY + αY Y lnY +sumJminus1

j=1 αjY ln xj + αY TT(22)

and

Scale Bias = αY T (23)

If the scale bias parameter (αY T ) is statistically significant and greater than zero this

suggests that technological change is reducing economies of scale over time

4 Database and empirical approach

The database used can be divided into two parts The first part includes the information

of all FI authorized to operate in Brazil by the Brazilian Central Bank (BCB) This infor-

mation is available on the BCBrsquos website through the IFdata system and contains detailed

information on the balance sheet income statement and credit portfolio of all IFs In ad-

dition data are available on an individual basis as well as on financial conglomerates and

prudential conglomerates1 For this work we use the concept of financial conglomerates In

1The BCB defines as a financial conglomerate the group of financial entities directly or unrelated byshareholding or by effective operational control characterized by standard management or by operatingin the market under the same brand or commercial name (Circular note no 1273 from Brazilian CentralBank) The concept of a prudential conglomerate in turn encompasses a broader universe of entities suchas consortium administrators payment institutions and companies that purchase credit operations (Officedocument no 1273 from Brazilian Central Bank)

14

December 2018 there was information on a total of 2753 IFs between commercial banks

or multiple banks with and without commercial portfolios credit cooperatives development

banks among others arranged quarterly since the first quarter of 2000

Our sample was restricted only to commercial banks or multiple banks with commercial

portfolios and savings banks Banks with loan portfolio equal zero and did not contain

information for at least three consecutive years were excluded In the same way we excluded

banks with observations that fell bellow 1st percentile of the sample for each one of variables

used in the model or above 99th percentile only for the dependent variable RC = TRC

Furthermore we chose to work with the data on a semi-annual basis (June and December

base dates) because inconsistencies we have found in some quarterly accounting data After

applying all these criteria our sample was restricted to a panel with only 83 banks between

the first half of 2000 and the second half of 2014 totaling 1818 observations2 In terms

of representativeness our sample with only 83 banks corresponded to 794 of the total

assets and 817 of the credit portfolio of the entire SFN in December 2014

The second database was obtained from Cerutti et al (2016) In this unprecedented

database the focus is on the change and intensity in the use of a set of prudential instruments

classified as micro-prudential and macro-prudential3 They collect the data for 64 countries

with a quarterly period covering the period between the first quarter of 2000 and the fourth

quarter of 2014 In the database in addition to a considerable number of countries the

information collected by the authors has the objective of mapping the intensity and the

change occurring quarterly in each of the prudential instruments

The original instruments of the database are the capital requirement capital buffer

interbank exposure limit concentration limit maximum loan amount commonly known as

Loan-to-value and reserve requirement

Concerning the capital requirement instrument we can understand it as an imposition

2Although the BCB has information until the second half of 2018 the database with prudential variablesavailable in the article by Cerutti et al (2016) goes only until the second half of 2014

3The database of Cerutti et al (2016) is a considerable advance to the available prudential data collectedso far in Lim et al (2011) and Cerutti et al (2017a) In both studies the focus is on only identifying whetheror not the country has implemented the appropriate prudential instrument

15

for a compulsory deposit with the BCB of demand deposits of financial institutions Capital

buffer serves as a buffer against countercyclical capital whose purpose is to protect the

banking sector in periods of excessive credit growth which is associated with increased

systemic risk On the other hand in periods of credit constraint the buffering capital may

decrease and thus not affecting the performance of the real side of the economy

The interbank exposure limit is a liability limiter maintained by the banking sector as a

whole or by a particular bank By the concentration limit we mean a procedure that limits

the fraction of assets concentrated to a limited number of borrowers

Loan-to-value is a restriction to the borrower or activity It is the imposition of maximum

amounts of loans on the value of collateral or even maximum amounts of indebtedness to the

income of the borrower Finally we can interpret a reserve requirement as an instrument

whose purpose is to limit the multiplication of money in the economy through the imposition

of compulsory deposits with the Central Bank

The prudential capital buffer instrument was broken down into the following categories

general capital requirement real estate credit consumer credit and others We decompose

the reserve requirement instrument into two sub-indices local domestic currency and foreign

currency

Information on intensity and change in prudential tooling is collected as follows by the

researchers If the financial regulator tightens the instrument in question in a specific quarter

the index assumes a value of +1 On the other hand if the same instrument undergoes

relaxation or loosening the value of minus1

Finally the index receives a value of zero if there was no change in the prudential

instrument in that quarter4 According to Cerutti et al (2016) in addition to capturing the

intensity of change in such a prudential policy this type of coding incorporates qualitative

characteristics of the policy that are lost by the type of dichotomous coding (1 if implemented

and 0 otherwise) Despite the simplicity of the coding used it is imperfectly able to measure

direction in policy change Not all the instruments available on the original basis were used

4For more details on how the base was built see Cerutti et al (2016)

16

because some measures were not implemented by the BCB Examples are the capital buffer

for real estate credit the concentration limit of banks to sectors or borrowers and the limit

on interbank exposure

Moreover due to the low variability in most measures and the semi-annual structure

of the database obtained in the BCB we chose to use the cumulative indexes of variation

According to Cerutti et al (2016) the purpose of this cumulative index is to capture the

level of tightness or looseness over a given period Finally to capture an overall measure of

prudential instruments we aggregate all variations of prudential instruments into a single

aggregate instrument called cumulative prudential Table A5 attached illustrates the

change and the intensity of the prudential instruments implemented by Brazil according to

the data collected by Cerutti et al (2016)

Our empirical strategy consists in estimating the equation 16 by Maximum Likelihood in

a two-stage procedure wherein the first stage we obtain the estimates of the parameters of

the equation and in the second stage we calculate the estimates of uit using the conditional

mean estimator of Jondrow et al (1982)

After obtaining the estimates of u and RC equiv EY we use equation 20 to calculate the

estimated values of θ which are used to calculat e the Lerner Index (L) according to

equation 21

We estimated six models wif different sets of deterministic variables (prudential measures)

to control the parameter of market power (uit) In the first model we did not add any

controls In the second we include only the HHI In the third specification we include the

capital buffer and capital requirement The fourth model uses only the loan-to-value In the

fifth model we include reserve requirements in both foreign and local currency and in the

last model we include the cumulative prudential measure which is the sum of the changes

in all other prudential measures

The inclusion of prudential variables in a separated way was necessary because they

represent only the tightening or the loosening of the prudential instrument Therefore they

do not represent the change in the magnitude of the prudential instrument As such the

variables have little variability and the high correlation generated between them causes

17

severe problems in the estimation process by maximum likelihood In general the tests with

the aggregate models did not reach the convergence of likelihood function even using different

strategies for initial values or optimization algorithm and when the optimization reaches an

optimal state the estimates were inconsistent For this reason we chose to estimate simpler

models including prudential variables separately or at most two when they represented

similar measures

Besides two critical events occurred in the second half of 2008 and significantly changed

the structure and dynamics of the banking industry in Brazil The outbreak of the subprime

crisis in the US and the acquisition of Unibanco by Itau in Brazil5 Itau-Unibanco has become

the largest bank in Brazil (Itau-Unibanco) accounting for 191 of total SFN assets and

184 of the total loan portfolio in the second half of 2008

We can observe the increase in market concentration in Figure 1 which represents HHI

concentration indices for total assets and total credit portfolio The increase in concentra-

tion levels of the banking industry on the other hand also coincides temporarily with the

outbreak of the GFC and an increase in rigidity in prudential instruments after the onset of

the crisis6

These events result in a high correlation between the variables and making it more

difficult to isolate the effects of each variable on the parameter of market power In this

way we also chose to estimate an HHI-only model as the control variable of market power

(uit)

Figure 1 Evolution of the Herfindahl Index (HHI) over time using credit and total assets

for the Brazilian banking system

We summarize the description of the variables that we will use in the estimation of

5Unibanco was the sixth largest Brazilian bank in the first half of 2008 accounting for 59 of total SFNassets and 6 of the total loan portfolio Also Itau was the third largest bank with 118 of SFN and119 of the loan portfolio

6Cubillas amp Suarez (2018) find the same result as the banksrsquo market power increased shortly after theGFC

18

equation 16 and how we calculate them in Table 1 All variables included in equation 16

except for trend prudential variables an HHI are in the logarithms form

Table 1 Variables used to IDF estimatation

5 Empirical Results

We present the results of the models in Table 2 Initially focusing on the interpretation

of the parameters of the input-distance function we verified that the size of the IF credit

portfolio (lnY ) has a negative sign but it was significant only for models 1 4 and 5 This

result implies that the larger the portfolio size the lower the revenue-cost ratio of the FI

Table 2 Results of IDF estimation

The coefficients of Staff costs (lnx1) and volume of funding (lnx2) were also negative

and significant in all models Thus the higher the staff costs and the higher the funding

volume the lower the cost-to-cost ratio of the FIs The trend variable as established by

equation 23 represents the scale bias and the negative sign would indicate that technological

change would increase economies of scale over time however no estimate was significant

51 Impact of Prudential Measures on Mark-up

The evaluation of the variables that determine the mark-up parameter (u) shows that

all of them are statistically significant and positive The SFA model is not linear in these

parameters Therefore the value of the coefficients does not represent the effect of the

magnitude of changes in the variables on the mark-up (their elasticities) However we can

estimate their marginal effects We present them for each variable in Figure 2

19

Figure 2 Marginal effects of HHI and prudential instruments (Capital Buffer Capital

RequirementLTV Reserve Requirement (Foreign) Reserve Requirement (domestic) and

cumulative prud) on themark-upucomponent

The positive sign of HHI in model 2 means that the more concentrated the banking

industry is the higher the market power of FIs This result is in line with that established by

the traditional structure-conduct-performance paradigm (Schmalensee 1989) However as

can be seen in Figure 1 the increase in the concentration index coincides with the tightening

of the prudential measures stemming from the GFC In this sense we can not say whether

this is the real effect of the increase in market concentration on the market power of FIs or

whether it is affected by the tightening of prudential measures

If we focus on prudential instruments the results for capital buffers and the capital

requirement (model 3) indicate that a tightening in these variables - whose purpose is to

increase banksrsquo capital reserve during positive shocks in the economy - has a detrimental

effect on competition market since they raise the IF mark-ups This effect happens because

this prudential measure influences the smoothing of the credit supply cycle

The same results are present for the loan-to-value variable (model 4) In general this

measure sets limits on the leverage of mortgages and other securities and a tightening in

ltv is effective in controlling possible booms in the real estate market by reducing real estate

prices and ultimately reducing the excess volatility of the economy ((Zhang amp Zoli 2016

Ely et al 2019) According to the result found the higher the limits the greater the market

power of the FIs

With respect to reserve requirements both in foreign and local currency - credit limits

directly in foreign currency and domestic currency respectively - the results (model 5) also

demonstrate a detrimental effect on competition since the tightening in such measures also

implies an increase mark-up of IFs In the model 6 where we introduce the aggregate

prudential measure the result found is similar to the others that is the higher the tightness

(in general) in the prudential measures of the financial system the higher the market power

of FIs

20

Unfortunately since prudential variables represent only a measure of tightening or loos-

ening of prudential policy and not its magnitude we can not accurately assess the impact

of these variables on the mark-up The marginal effects represented in Figure 2 give us only

an idea of how such variables affected the estimated mark-ups

However in general we can say that the positive signs of the estimates mean that the

higher the tightness in these prudential policies the greater the mark-up and consequently

the higher the market power of the FIs Therefore we find a perverse effect on industry

competition and probably a loss of borrowers welfare

Our results are in accordance with the evidence that the increase in prudential rigor has

negative impacts mainly on the supply of credit (Lim et al 2011 Claessens 2015 Aiyar

et al 2014 Gropp et al 2018 Cerutti et al 2017a) Ceteris paribus the increase of IF

mark-ups would be a fully expected effect As highlighted by Claessens amp Laeven (2004) any

policy that restricts the activity of banks and hinders their operation has negative impacts

on market competition

52 Estimation of Lerner indices

Regarding the mark-up estimation the values reported at the bottom of Table 2 corre-

spond to the distance between the observed revenue-cost ratio and its competitive boundary

that is the component u

To interpret the mark-up however we will focus the discussion on the estimates of

Lerner index (equation 21) because they have a more unambiguous economic meaning We

summarize the results of Lerner index for general estimates by type of control and for each

model in Table 3 and the Figure 3 shows their frequency distributions We should emphasize

that these estimates are individuals that is we obtain the estimates for each IF and at each

period t The tables in Annex (A6 to A11) summarizes the estimates of the Lerner index

and the returns to scale for each IF in the sample

Table 3 Estimates of Lerner index general and by type of control

21

Figure 3 Frequency distribution of Lerner indexes for each model and density estimation

Kernel by typeof control

For all six models all mark-up estimates were within the theoretical range of 0 and 1

with the minimum value being 0009 (model 2) and the maximum value 0362 (model 3) In

general the estimated average value was between 0051 (model 2) and 0058 (models 1 and

5) which means that on average Brazilian banks have a mark-up between 51 and 58

These values are slightly different when we separate the estimates by type of control

In the case of state-owned banks the average mark-up was between 0047 (model 2)

and 0057 (model 1) These values are lower in all the estimated models to the values

of (privates) national banks (0052-0057) and foreign banks (0050-0061) However the

medians of estimated values for state-owned banks were higher than the national and foreign

private banks in all models

For comparison purposes these values are considerably lower than the value (016) esti-

mated for Brazil in Coccorese (2014) We believe that this difference is due to the model and

sample used Coccorese (2014) has estimated the dual version of model (equation 5) and

as highlighted by Kumbhakar et al (2012) the use of accounting information to calculate

input prices can generate problems when they are endogenous

Regarding the sample Coccorese (2014) also used a different period from ours (1994 to

2012) and a more significant number of IFs in the sample (189 against 83 used by us) The

main difference here is in the number of IF - 106 in total In this respect it is essential to

note that these FIs constitute small FIs and in the second half of 2014 they held only 37

of total SFN assets and 24 of the total credit portfolio

We tried to replicated the Coccoresersquo sample but in preliminary tests we have found great

difficulties in the models estimations in particular at convergence of likelihood function

We observed these small IFs had in several situations extremely high values for the revenue-

cost ratio or excessively low for the inputs used (personnel expenses and funding) as well

as other problems such as launch errors (positive values in variables of expenditure for

example) and missings For these reasons and considering that such IFs represented only a

22

small fraction of Brazilian credit market we decided to exclude them from the sample

However It is worth highlight as they are small FIs the vast majority operate in particular

segments of the credit market and probably assume a more risk-taking behavior Considering

that they will work with a segment of credit claimants with rdquoworse scoresrdquo than borrowers

using large FIs we expect that the mark-up of these IFs will be higher We can observe

(part of) this phenomenon in Figure 4 where we represent the estimates of the Lerner index

(vertical axis) against market share of total assets (horizontal axis) of our sample and it is

quite evident the smaller banks have the higher mark-ups Therefore as our sample exclude

a large proportion of these small IFs it is natural that Coccorese (2014)rsquo results larger than

ours

Figure 4 Lerner indexes according to the size (market share) of banksrsquo assets

Regardless of this our results seem to adhere well to reality because if we look at Figure

5 we note that the Lerner indices show a significant increase from the second semester of

2008 These results are in agreement with the results of Cubillas amp Suarez (2018) Besides

in Figure 6 Lerner indexes are separated by type of control and we can observe that with

some exceptions the market power has always been lower for state-owned banks especially

considering the period after the GFC

Figure 5 Average Lerner indices for each model between 2000q2 and 2014q4

Figure 6 Average Lerner indices estimated for public private national and private

foreign banks between2000q2 and 2014q4

23

53 Estimation of Returns to Scale

Finally Table 4 and Figure 7 summarize the estimates of returns to scale We highlight

that the average of the returns to the scale of the Brazilian FIs is very close if we comparer

the six estimated models (between 0848 and 0851) Although the values are close to unity

in all IFs we reject the hypotheses of constant returns to the scale that is RTS = 1 therefore

IFs have diseconomies of scale

Table 4 Estimates of returns to scale by control type and general

When we separate estimates by type of control the estimates of state-owned banks

(0937-0944) are higher than national (0824-0829) and foreign banks (0841-0844) This

result means that the scale problem is a problem common to all FIs in Brazil Moreover

state-owned banks runs closer to the constant return region than national and foreign banks

Figure 7 Frequency distribution of the returns to scale indexes for each model and

density estimationKernel by type of control

6 Final Considerations

Considering that the banking industry underwent a significant restructuring in recent

years caused by several mergers and acquisitions in the sector as well as by a severe financial

crisis started in mid 2007 and potentialized in 2008 understand the behavior of market

power and as a (partial) set of prudential instruments influencing this dynamic has become

paramount Thus in an innovative way this paper proposed the use of stochastic frontier

analysis techniques to measure market power for the Brazilian banking industry and to test

if such prudential measures had an impact on the competitive dynamics of sector

The estimated average Lerner index was between 51 and 58 for Brazilian FIs How-

ever when controlled by the type of control we find that state-owned banks have slightly

24

lower estimates than national and foreign banks respectively Also estimates of returns to

scale allow us to infer that FIs operate with diseconomies of scale

Concerning the impact of prudential measures on the market power of FIs our results

generally suggest that tightening of prudential measures have a positive impact on bank

mark-up and consequently have detrimental effects on competition in industry banking

Finally in future research it will be possible to better understand the influence of some

prudential measures in the banking market through the study by type of segment or line of

credit

25

References

Aiyar S Calomiris C W amp Wieladek T (2014) Does macro-prudential regulation leak ev-

idence from a uk policy experiment Journal of Money Credit and Banking 46 181ndash214

URL httpsonlinelibrarywileycomdoiabs101111jmcb12086 doi101111jmcb12086

arXivhttpsonlinelibrarywileycomdoipdf101111jmcb12086

Altunbas Y Binici M amp Gambacorta L (2018) Macroprudential policy and bank risk Journal of

International Money and Finance 81 203ndash220 doihttpsdoiorg101016jjimonfin201711

012

Araujo L A D d amp Jorge Neto P d M (2007) Risco e competicao bancaria no Brasil Revista Brasileira

de Economia 61 175ndash200 URL httpwwwscielobrscielophpscript=sci_abstractamppid=

S0034-71402007000200003amplng=enampnrm=isoamptlng=pt doi101590S0034-71402007000200003

Auer R amp Ongena S (2019) The countercyclical capital buffer and the composition of bank lending

Available at SSRN 3345189

Ayyagari M Beck T amp Peria M (2018) The micro impact of macroprudential policies Firm-level

evidence IMF Working Paper

Barbosa K de Paula Rocha B amp Salazar F (2015) Assessing competition in the banking indus-

try A multi-product approach Journal of Banking amp Finance 50 340ndash362 URL httpwww

sciencedirectcomsciencearticlepiiS0378426614001642 doi101016jjbankfin201405

003

Belaisch A (2003) Do Brazilian Banks Compete SSRN Scholarly Paper ID 879189 Social Science Research

Network Rochester NY URL httpspapersssrncomabstract=879189

Bikker J A Shaffer S amp Spierdijk L K (2012) Assessing competition with the panzar-rosse model

The role of scale costs and equilibrium Economics Letters 94 1025ndash1044

Bresnahan T F (1982) The oligopoly solution concept is identified Economics Letters 10 87ndash92 URL

httpdxdoiorg1010160165-1765(82)90121-5 doi1010160165-1765(82)90121-5

Bresnahan T F amp Reiss P (1991) Entry and competition in concentrated markets Journal of Political

Economy 99 977ndash1009

Camors C amp Peydro J (2014) Macroprudential and monetary policy Loan-level evidence from reserve

requirement Mimeo Universitat Pompeu Fabra URL httpspdfssemanticscholarorgd508

61639bb4e7453a7a39184edf9b0c1e7016a6pdf

Cardoso M Azevedo P F amp Barbosa K (2016) Concorrencia no setor bancario brasileiro bancos

individuais versus conglomerados bancarios (pp 113ndash146) URL httprepositorioipeagovbr

handle110586650

Cerutti E Claessens S amp Laeven L (2017a) The use and effectiveness of macroprudential policies New

26

evidence Journal of Financial Stability 28 203ndash224 doihttpsdoiorg101016jjfs201510

004

Cerutti E Correa R Fiorentino E amp Segalla E (2016) Changes in prudential policy instruments ndash a

new cross-country database IMF Working Paper WP1610

Cerutti E Dagher J amp DellrsquoAriccia G (2017b) Housing finance and real-estate booms A cross-country

perspective Journal of Housing Economics 38 1ndash13

Claessens S (2015) An overview of macroprudential policy tools Annual Re-

view of Financial Economics 7 397ndash422 URL httpsdoiorg101146

annurev-financial-111914-041807 doi101146annurev-financial-111914-041807

arXivhttpsdoiorg101146annurev-financial-111914-041807

Claessens S Ghosh S R amp Mihet R (2013) Macro-prudential policies to mitigate financial system

vulnerabilities Journal of International Money and Finance 39 153ndash185 doihttpsdoiorg10

1016jjimonfin201306023

Claessens S amp Laeven L (2004) What drives bank competition some international evidence Journal

of Money Credit and Banking 36 563ndash583 URL httpwwwjstororgstable3838954

Coccorese P (2014) Estimating the Lerner index for the banking industry a stochastic frontier approach

Applied Financial Economics 24 73ndash88 URL httpdxdoiorg101080096031072013866202

doi101080096031072013866202

Coelho C A De Mello J M amp Rezende L (2013) Do Public Banks Compete with Private

Banks Evidence from Concentrated Local Markets in Brazil Journal of Money Credit and Bank-

ing 45 1581ndash1615 URL httponlinelibrarywileycomdoi101111jmcb12063abstract

doi101111jmcb12063

Cubillas E amp Suarez N (2018) Bank market power and lending during the global financial crisis Jour-

nal of International Money and Finance 89 1ndash22 URL httpwwwsciencedirectcomscience

articlepiiS0261560618303048 doihttpsdoiorg101016jjimonfin201808003

Das A amp Kumbhakar S C (2016) Markup and efficiency of Indian banks an input distance func-

tion approach Empirical Economics (pp 1ndash31) URL httplinkspringercomarticle101007

s00181-015-1062-4 doi101007s00181-015-1062-4

Ely R Tabak B amp Teixeira A (2019) Heterogeneous effects of the implementation of macroprudential

policies on bank risk MPRA Paper No94546

Freixas X Laeven L amp Peydro J-L (2015) Systemic Risk Crises and Macroprudential Regulation

Mit Press URL httpwwwjstororgstablejctt17kk82g

Galati G amp Moessner R (2013) Macroprudential policy ndash a literature review Jour-

nal of Economic Surveys 27 846ndash878 URL httpsonlinelibrarywileycom

27

doiabs101111j1467-6419201200729x doi101111j1467-6419201200729x

arXivhttpsonlinelibrarywileycomdoipdf101111j1467-6419201200729x

Gropp R Mosk T Ongena S amp Wix C (2018) Banks Response to Higher Cap-

ital Requirements Evidence from a Quasi-Natural Experiment The Review of Finan-

cial Studies 32 266ndash299 URL httpsdoiorg101093rfshhy052 doi101093rfshhy052

arXivhttpoupprodsislanrfsarticle-pdf32126627185080hhy052pdf

Hyde C E amp Perloff J M (1995) Can market power be estimated Review of Industrial Organization 10

465ndash485 URL httplinkspringercomarticle101007BF01024231 doi101007BF01024231

Igan D amp Kang H (2011) Do loan-to-value and debt-to-income limits work evidence from korea IMF

Working Papers (pp 1ndash34)

Jimenez G Ongena S Peydro J-L amp Saurina J (2017) Macroprudential policy countercyclical bank

capital buffers and credit supply Evidence from the spanish dynamic provisioning experiments Journal

of Political Economy 125 2126ndash2177 URL httpsdoiorg101086694289 doi101086694289

arXivhttpsdoiorg101086694289

Jondrow J Knox Lovell C A Materov I S amp Schmidt P (1982) On the estimation of technical

inefficiency in the stochastic frontier production function model Journal of Econometrics 19 233ndash

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0304-4076(82)90004-5

Klingelhoger J amp Sun R (2019) Macruprudential policy central banks and financial stability Evidence

from china Journal of International Money and Finance 93 19ndash41 URL httpsdoiorg101016

jjimonfin201812015

Kumbhakar S C (2012) Specification and estimation of primal production models European Journal

of Operational Research 217 509ndash518 URL httpwwwsciencedirectcomsciencearticlepii

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Kumbhakar S C Baardsen S amp Lien G (2012) A New Method for Estimating Market Power with

an Application to Norwegian Sawmilling Review of Industrial Organization 40 109ndash129 URL http

linkspringercomarticle101007s11151-012-9339-7 doi101007s11151-012-9339-7

Lerner A P (1934) The Concept of Monopoly and the Measurement of Monopoly Power The Review

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2967480 doi1023072967480

Lim C H Costa A Columba F Kongsamut P Otani A Saiyid M Wezel T amp Wu X (2011)

Macroprudential policy what instruments and how to use them lessons from country experiences IMF

working papers (pp 1ndash85)

Lopez R A He X amp Azzam A (2018) Stochastic frontier estimation of market

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power in the food industries Journal of Agricultural Economics 69 3ndash17 URL https

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Lucinda C R (2010) Competition in the Brazilian loan market an empirical analysis Estudos Economicos

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S0101-41612010000400004amplng=enampnrm=isoamptlng=en doi101590S0101-41612010000400004

Moreno R (2011) Policymaking from arsquomacroprudentialrsquoperspective in emerging market economies

Nakane M I (2002) A test of competition in brazilian banking Estudos Economicos (Sao Paulo) 32

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Richter B Schularick M amp Shim I (2019) The costs of macroprudential policy Journal of Inter-

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experience and cross-country evidence

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Economics 42 33ndash52

29

Figure 1 Evolution of the Herfindahl Index (HHI) over time using credit and total assets for theBrazilian banking system

30

Figure 2 Marginal effects of HHI and prudential instruments (Capital Buffer Capital RequirementLTV Reserve Requirement (Foreign) Reserve Requirement (domestic) and cumulative prud) on the

mark-up u component

31

Figure 3 Frequency distribution of Lerner indexes for each model and density estimation Kernel by typeof control

32

Figure 4 Lerner indexes according to the size (market share) of banksrsquo assets

33

Figure 5 Average Lerner indices for each model between 2000q2 and 2014q4

34

Figure 6 Average Lerner indices estimated for public private national and private foreign banks between2000q2 and 2014q4

35

Figure 7 Frequency distribution of the returns to scale indexes for each model and density estimationKernel by type of control

36

Table 1 Variables used to IDF estimatation

Variabel Description SourceBasic variables

TR Total Revenue = Gross Insterest Income (a) + Bank-ing Service Fee Income (d1) + Banking Fee Income(d2) + Other Operating Income (d7)

Inc statIFData

TC Total Cost = Interest Expenses (b) + Personnel Ex-penses (d3) + Administrative Expenses (d4) + TaxExpenses (d5) + Other Operating Expenses (d8)

Inc statIFData

Y Loan Lease and Other Credit Operations by RiskLevel

SummaryIFData

x1 Personnel Expenses (d3) Inc statIFDatax2 Funding (e) LiabilitiesIFDatax3 Equity (j) LiabilitiesIFData

Model variabelslnRC Log of Revenue-Cost ratiolnY Log of total loanlnx1 Log of personnel expenses and equity ratio (x1x3)lnx2 Log of funding and equity ratio (x2x3)T Time

Prudential variables - Deterministic mark-up parametersHHIt HHIt =

sumS2it where Sit

2 is market share of totalasset of bank i on time t

Inc statIFData

cb cumulative change of capital buffer Cerutti et al (2016)cr cumulative change of capital requirement Cerutti et al (2016)ltv cumulative change of loan-to-value Cerutti et al (2016)

rr foreign cumulative change of reserve requirement (foreigncurrency)

Cerutti et al (2016)

rr local cumulative change of reserve requirement (domesticcurrency)

Cerutti et al (2016)

37

Table 2 Results of IDF estimation

Parameters VariablesEstimates

Model Model Model Model Model Model(1) (2) (3) (4) (5) (6)

Parametros da funcao insumo distanciaαY Y lnY -0013 -0003 -0004 -0012 -0011 -0005

(000) (000) (000) (000) (000) (000)α1Y lnx1 -0096 -0095 -0094 -0094 -0096 -0090

(001) (001) (001) (001) (001) (001)α2Y lnx2 -0019 -0022 -0022 -0019 -0020 -0021

(001) (001) (001) (001) (001) (001)αY T T -0000 -0000 -0000 -0000 -0000 -0000

(000) (000) (000) (000) (000) (000)αY const 1153 1010 1035 1134 1129 1057

(005) (007) (005) (005) (005) (006)

Deterministic Mark-up parametersδ1 HHI 764157

(12270)δ1 Capital

Buffer7586(065)

δ2 CapitalReq

4696(160)

δ1 Loan-to-value38511(671)

δ1 ResR(foreign)10730(433)

δ2 ResR(local)2869(126)

δ1 Cum Prud3237(020)

δ0 const minus10601minus10194minus5306 minus9866 minus8577 minus4993(032) (2064) (316) (079) (119) (122)

Distribution of u and vσ2u 2840 1418 1620 2643 2441 1593σ2v 0118 0121 0120 0118 0118 0120λ 2402 1172 1354 2233 2065 1325Log Lik 887404 922033 918606 896019 891991 907817

EstimatesEstimates of Mark-up (u)Avg 0075 0065 0068 0074 0075 00691st quartile 0052 0038 0051 0051 0051 0044Median 0062 0048 0060 0060 0061 00543st quartile 0080 0074 0079 0079 0079 0075std-dev 0053 0054 0053 0053 0054 0054

Note p lt 010 p lt 005 and p lt 001

38

Table 3 Estimates of Lerner index general and by type of control

EstimatesModel Model Model Model Model Model

(1) (2) (3) (4) (5) (6)Mark-up (L) generalAverage 0058 0051 0053 0057 0058 0053std-dev 0032 0034 0034 0032 0032 00331st quartile 0043 0031 0034 0041 0042 0036Median 0051 0039 0044 0050 0050 00453st quartile 0063 0060 0059 0063 0063 0060Mark-up (L) State-owned banksAverage 0057 0047 0049 0056 0056 0050std-dev 0018 0017 0017 0018 0016 00161st quartile 0047 0035 0038 0045 0046 0040Median 0054 0041 0046 0053 0053 00463st quartile 0064 0056 0056 0064 0063 0057Mark-up (L) National banksAverage 0057 0052 0054 0057 0057 0054std-dev 0034 0038 0038 0035 0035 00371st quartile 0041 0030 0033 0040 0041 0035Median 0050 0038 0043 0048 0049 00443st quartile 0061 0061 0060 0061 0062 0060Mark-up (L) Foreign banksAverage 0061 0050 0053 0059 0060 0054std-dev 0034 0033 0032 0034 0034 00321st quartile 0042 0031 0034 0041 0042 0036Median 0052 0040 0044 0051 0051 00453st quartile 0068 0059 0060 0066 0066 0061

Table 4 Estimates of returns to scale by control type and general

ModelState-owned

banksNational

banksForeignbanks

General std-dev Min Max

1 0944 0824 0842 0848 0073 0665 11242 0940 0829 0843 0851 0066 0690 10733 0938 0827 0842 0849 0066 0689 10764 0941 0824 0842 0848 0071 0671 11115 0942 0824 0841 0848 0072 0669 11136 0937 0829 0844 0850 0065 0692 1073

39

Appendix A Attachment Tables

Table A5 Cumulative change on Prudential Measures intensity

TimeCapitalBuffer 2

(cb)

CapitalReq(cr)

Loan-to-Value(ltv)

Reserve Reqlocal curr

(RR local)

Reserve Reqforeign cur

(RR foreign)

CumulativePrudential 3

(Cum Prud)2000q2 -1 0 0 0 -2 -32000q4 -1 0 0 0 -2 -32001q2 -1 0 0 0 -2 -32001q4 0 0 0 0 -1 -12002q2 0 0 0 0 0 02002q4 2 0 0 0 2 42003q2 0 0 0 0 3 32003q4 0 0 0 0 2 22004q2 0 0 0 0 2 22004q4 0 0 0 0 2 22005q2 0 0 0 0 2 22005q4 0 0 0 0 2 22006q2 0 0 0 0 2 22006q4 0 0 0 0 2 22007q2 2 0 0 0 2 42007q4 2 0 0 0 2 42008q2 2 0 0 0 2 42008q4 2 0 0 0 1 32009q2 2 0 0 0 0 22009q4 2 0 0 0 -1 12010q2 2 0 0 0 1 32010q4 3 0 0 0 3 62011q2 3 0 0 1 3 72011q4 4 0 0 2 3 92012q2 3 1 0 2 3 92012q4 3 1 0 1 2 72013q2 3 2 0 0 2 72013q4 3 2 1 0 2 82014q2 3 2 1 0 2 82014q4 2 2 1 0 3 82Sum of capital buffer and others 3Aggregate measure (It is the sum of the change of all other instrument)

40

Table A6 Estimates of Lerner index and return to scale by bank - Model (1)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0042 0082 0009 0940 0007 -85Banrisul S 0055 0041 0084 0009 0952 0008 -635BEC S 0048 0021 0077 0016 0844 0009 -1756BRB S 0058 0033 0100 0015 0961 0003 -1533BB S 0058 0039 0098 0012 0990 0006 -173Caixa Economica Federal S 0063 0051 0174 0022 1052 0004 1458B da Amazonia SA S 0057 0016 0124 0023 0844 0008 -2028B do Estado Do Para SA S 0061 0026 0110 0022 0936 0004 -1764B do Est do Maranhao SA S 0055 0046 0065 0006 0935 0014 -455B do Est do Piauı SA - Bep S 0057 0030 0155 0029 0862 0004 -326B do Estado De Sergipe SA S 0061 0024 0135 0022 0947 0004 -1453Nossa Caixa - N Banco SA S 0057 0036 0090 0013 0981 0004 -444Bradesco N 0056 0038 0114 0015 0925 0004 -1945Itau N 0059 0031 0220 0033 0901 0003 -3797Safra N 0053 0037 0085 0009 0885 0003 -4215Unibanco N 0055 0037 0088 0014 0897 0001 -7054Mercantil Do Brasil N 0057 0027 0077 0011 0945 0002 -2527BBM N 0076 0016 0300 0065 0783 0005 -4464BMC N 0052 0030 0079 0012 0845 0003 -4703BMG N 0065 0017 0208 0045 0779 0003 -729JMalucelli N 0047 0022 0069 0013 0718 0003 -8765PEBB N 0065 0017 0181 0047 0698 0008 -3914SS N 0057 0034 0220 0037 0799 0007 -2839Sofisa N 0054 0021 0092 0020 0804 0002 -9903BIC N 0060 0034 0236 0040 0855 0005 -276Schahin N 0056 0028 0214 0035 0835 0006 -262Stock N 0081 0020 0267 0067 0817 0006 -3107Pine N 0052 0022 0108 0019 0808 0004 -545Socopa N 0056 0027 0120 0017 0886 0003 -3806Intercap N 0060 0023 0212 0037 0812 0007 -2851Indusval N 0062 0030 0246 0043 0857 0005 -3139Bonsucesso N 0052 0020 0092 0018 0779 0005 -4033Industrial do Brasil N 0051 0031 0081 0016 0807 0002 -952Votorantim N 0052 0037 0107 0017 0819 0009 -2117Cacique N 0053 0024 0071 0014 0774 0005 -4621Inter Amex N 0055 0037 0068 0010 0837 0008 -2158Alfa N 0048 0041 0059 0005 0806 0002 -11303Rendimento N 0053 0022 0080 0012 0872 0008 -1562Bancoob N 0052 0046 0056 0003 0856 0003 -5061Original N 0085 0017 0279 0090 0729 0007 -4163Banco Intermedium SA N 0052 0028 0070 0015 0743 0006 -3973

Table A6 ndash Continue on next page

41

Table A6 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0225 0049 0761 0003 -7509Banco BBN SA N 0053 0027 0077 0014 0817 0012 -1509B Cooperativo Sicredi SA N 0052 0043 0062 0005 0875 0005 -2477B Cooperativo do Brasil SA N 0056 0046 0142 0020 0910 0006 -1479Banco Topazio SA N 0060 0035 0110 0027 0834 0006 -2966Banco Gerador SA N 0069 0045 0122 0028 0852 0008 -1968Banco Randon SA N 0109 0023 0320 0109 0783 0005 -4158Parana Banco SA N 0050 0026 0108 0020 0784 0008 -2799Banco Triangulo SA N 0055 0028 0091 0020 0833 0004 -4201Banco Guanabara SA N 0052 0024 0169 0025 0777 0004 -5588Banco Cedula SA N 0068 0012 0339 0061 0731 0003 -10236Banco Cacique SA N 0077 0028 0248 0077 0785 0016 -1309B Luso Brasileiro SA N 0065 0027 0208 0043 0849 0004 -349Banco Pecunia SA N 0047 0039 0060 0006 0770 0003 -7086Banco Zogbi SA N 0051 0038 0067 0011 0778 0001 -15193Banco Daycoval SA N 0054 0023 0131 0026 0783 0004 -5522B John Deere SA N 0059 0018 0133 0033 0756 0003 -7955Banco AJ Renner SA N 0053 0025 0081 0015 0827 0006 -2742ABN Amro F 0056 0039 0079 0014 0914 0002 -427Chase F 0068 0014 0228 0049 0790 0008 -2678LLoyds F 0053 0027 0064 0012 0825 0003 -5159BankBoston F 0057 0040 0099 0020 0902 0006 -1638Santander Brasil F 0057 0034 0097 0017 0890 0008 -146Citibank F 0059 0026 0153 0028 0875 0003 -4039BNL F 0055 0041 0097 0019 0840 0006 -2767Sudameris F 0056 0048 0065 0005 0966 0012 -297Societe Generale F 0060 0024 0153 0031 0826 0006 -299Europeu F 0054 0032 0073 0013 0848 0007 -2287ABC-Brasil F 0052 0025 0082 0014 0815 0003 -6207Dresdner F 0083 0017 0280 0074 0815 0006 -3234AGF Braseg F 0051 0031 0100 0016 0794 0004 -4923HSBC F 0057 0046 0092 0010 0971 0006 -466Deutsche F 0068 0013 0160 0036 0857 0004 -3335BNP Paribas F 0050 0037 0068 0007 0824 0005 -3665Barclays F 0052 0024 0089 0021 0771 0008 -2787Rabobank Int Brasil SA F 0058 0022 0166 0028 0842 0003 -5284B Nat de Paris Br SA F 0063 0023 0109 0033 0811 0006 -3331Ibibank SA - Banco Multiplo F 0059 0012 0106 0024 0781 0015 -1441Dresdner Bank - B Multiplo F 0086 0016 0244 0068 0768 0008 -2746Banco Westlb Do Brasil SA F 0064 0034 0108 0027 0839 0010 -1626Banco GE Capital SA F 0067 0032 0247 0047 0852 0010 -1527B Com Uruguai SA F 0072 0020 0192 0049 0830 0003 -52281S - State-owned bank N - National bank and F - Foreign bank

42

Table A7 Estimates of Lerner index and return to scale by bank - Model (2)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0049 0032 0085 0016 0944 0008 -716Banrisul S 0049 0032 0106 0017 0939 0008 -75BEC S 0032 0016 0046 0008 0860 0009 -1489BRB S 0049 0030 0112 0017 0961 0002 -1681BB S 0049 0032 0091 0016 0948 0006 -845Caixa Economica Federal S 0052 0034 0081 0014 1012 0003 382B da Amazonia SA S 0053 0015 0140 0028 0847 0008 -1922B do Estado Do Para SA S 0046 0029 0063 0009 0952 0005 -963B do Est do Maranhao SA S 0036 0029 0045 0005 0963 0016 -235B do Est do Piauı SA - Bep S 0036 0023 0071 0011 0888 0005 -2314B do Estado De Sergipe SA S 0050 0020 0155 0024 0962 0004 -1043Nossa Caixa - N Banco SA S 0039 0027 0074 0011 0972 0005 -601Bradesco N 0050 0028 0116 0023 0890 0004 -2618Itau N 0052 0024 0222 0037 0869 0003 -4269Safra N 0046 0028 0100 0017 0867 0003 -5042Unibanco N 0035 0028 0054 0007 0873 0001 -8511Mercantil Do Brasil N 0051 0029 0093 0019 0941 0002 -2837BBM N 0063 0012 0213 0048 0790 0005 -4494BMC N 0034 0023 0049 0007 0851 0003 -4266BMG N 0065 0015 0233 0057 0776 0004 -6135JMalucelli N 0052 0018 0080 0016 0720 0003 -9566PEBB N 0037 0014 0108 0025 0732 0009 -3086SS N 0056 0024 0236 0046 0797 0007 -2849Sofisa N 0052 0018 0107 0028 0808 0002 -8115BIC N 0057 0026 0259 0050 0850 0006 -2531Schahin N 0047 0022 0225 0041 0845 0007 -2359Stock N 0078 0017 0287 0071 0843 0006 -2782Pine N 0048 0018 0114 0023 0811 0004 -4973Socopa N 0050 0022 0136 0024 0908 0003 -3089Intercap N 0051 0019 0133 0031 0832 0006 -2759Indusval N 0061 0023 0267 0052 0866 0006 -2437Bonsucesso N 0050 0017 0109 0026 0791 0006 -3655Industrial do Brasil N 0044 0024 0079 0015 0816 0002 -8095Votorantim N 0048 0025 0120 0026 0807 0007 -2721Cacique N 0033 0020 0039 0006 0782 0005 -4597Inter Amex N 0035 0025 0045 0007 0844 0006 -2419Alfa N 0042 0029 0069 0013 0801 0002 -12139Rendimento N 0049 0019 0077 0015 0889 0008 -1394Bancoob N 0065 0057 0073 0006 0855 0003 -4199Original N 0099 0019 0299 0096 0732 0006 -4473Banco Intermedium SA N 0062 0032 0081 0019 0754 0006 -4393

Table A7 ndash Continue on next page

43

Table A7 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0059 0016 0239 0051 0778 0003 -6944Banco BBN SA N 0035 0020 0053 0009 0834 0011 -1466B Cooperativo Sicredi SA N 0045 0032 0070 0011 0881 0005 -2581B Cooperativo do Brasil SA N 0045 0029 0147 0025 0922 0006 -1274Banco Topazio SA N 0076 0043 0138 0038 0861 0005 -2569Banco Gerador SA N 0089 0054 0153 0037 0874 0008 -1645Banco Randon SA N 0122 0029 0335 0113 0803 0005 -388Parana Banco SA N 0033 0020 0062 0011 0800 0009 -234Banco Triangulo SA N 0052 0022 0105 0027 0841 0004 -4148Banco Guanabara SA N 0046 0019 0091 0020 0793 0004 -5561Banco Cedula SA N 0062 0011 0359 0067 0749 0003 -9911Banco Cacique SA N 0049 0020 0157 0048 0791 0016 -1315Banco Luso Brasileiro SA N 0066 0022 0241 0055 0870 0005 -2851Banco Pecunia SA N 0032 0027 0036 0003 0787 0003 -6876Banco Zogbi SA N 0032 0026 0037 0005 0784 0002 -13006Banco Daycoval SA N 0053 0019 0139 0036 0784 0004 -6065Banco John Deere SA N 0035 0016 0073 0016 0761 0003 -8278Banco AJ Renner SA N 0047 0021 0083 0015 0844 0006 -2553ABN Amro F 0035 0027 0047 0006 0889 0002 -7231Chase F 0054 0013 0157 0033 0804 0007 -2702LLoyds F 0033 0020 0043 0008 0821 0003 -5429BankBoston F 0036 0026 0060 0011 0888 0006 -1917Santander Brasil F 0055 0025 0115 0030 0864 0008 -1647Citibank F 0051 0020 0132 0025 0860 0003 -4735BNL F 0036 0026 0062 0012 0843 0005 -2959Sudameris F 0036 0031 0040 0004 0949 0011 -468Societe Generale F 0051 0018 0104 0024 0835 0007 -2454Europeu F 0034 0025 0041 0006 0859 0007 -2076ABC-Brasil F 0043 0026 0086 0015 0813 0003 -5797Dresdner F 0050 0014 0190 0046 0824 0004 -3975AGF Braseg F 0044 0024 0068 0014 0810 0005 -4109HSBC F 0052 0031 0110 0021 0948 0007 -776Deutsche F 0054 0012 0166 0030 0866 0005 -2754BNP Paribas F 0049 0028 0073 0013 0818 0004 -4092Barclays F 0065 0028 0121 0027 0811 0005 -4028Rabobank Int Brasil SA F 0047 0017 0102 0017 0845 0003 -4605B Nat de Paris Brasil SA F 0036 0017 0054 0013 0819 0005 -3304Ibibank SA - Banco Multiplo F 0043 0010 0114 0025 0782 0013 -1623Dresdner Bank - B Multiplo F 0096 0015 0270 0076 0785 0007 -2924Banco Westlb Do Brasil SA F 0041 0026 0062 0013 0853 0010 -154Banco GE Capital SA F 0054 0026 0253 0049 0862 0010 -1444B Com Uruguai SA F 0070 0017 0220 0058 0849 0003 -4471S - State-owned bank N - National bank and F - Foreign bank

44

Table A8 Estimates of Lerner index and return to scale by bank - Model (3)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0034 0090 0016 0941 0008 -772Banrisul S 0051 0032 0108 0016 0938 0008 -772BEC S 0035 0018 0051 0009 0856 0009 -1562BRB S 0052 0032 0122 0018 0958 0002 -1793BB S 0052 0035 0085 0015 0951 0006 -809Caixa Economica Federal S 0054 0039 0098 0014 1015 0003 465B da Amazonia SA S 0053 0014 0113 0024 0845 0008 -1977B do Estado Do Para SA S 0049 0028 0071 0010 0947 0005 -1117B do E do Maranhao SA S 0041 0032 0059 0008 0957 0015 -285B do E do Piauı SA - Bep S 0041 0028 0086 0014 0882 0005 -2518B do Estado De Sergipe SA S 0052 0021 0145 0022 0957 0004 -1182Nossa Caixa - N Banco SA S 0045 0029 0081 0015 0971 0005 -651Bradesco N 0052 0029 0101 0021 0893 0004 -2614Itau N 0054 0025 0203 0034 0872 0003 -4328Safra N 0048 0029 0093 0015 0869 0003 -5008Unibanco N 0041 0028 0067 0010 0874 0001 -8514Mercantil Do Brasil N 0053 0026 0095 0018 0939 0002 -29BBM N 0067 0013 0250 0056 0789 0005 -4501BMC N 0038 0024 0069 0010 0849 0003 -4408BMG N 0067 0015 0233 0058 0776 0004 -6374JMalucelli N 0052 0022 0087 0016 0720 0003 -9426PEBB N 0045 0014 0158 0040 0727 0009 -3192SS N 0057 0025 0231 0046 0797 0007 -287Sofisa N 0053 0018 0116 0026 0807 0002 -8444BIC N 0059 0030 0250 0049 0850 0006 -2596Schahin N 0048 0023 0220 0038 0842 0007 -2424Stock N 0083 0017 0304 0077 0838 0006 -2873Pine N 0049 0019 0105 0020 0810 0004 -5103Socopa N 0050 0026 0111 0018 0903 0003 -3253Intercap N 0055 0020 0196 0036 0828 0006 -283Indusval N 0062 0029 0282 0052 0863 0005 -2588Bonsucesso N 0051 0017 0118 0025 0789 0006 -3771Industrial do Brasil N 0046 0025 0086 0015 0815 0002 -8341Votorantim N 0050 0027 0128 0027 0809 0007 -2664Cacique N 0037 0020 0048 0009 0781 0005 -4645Inter Amex N 0039 0026 0058 0009 0842 0006 -2468Alfa N 0044 0031 0072 0011 0801 0002 -11998Rendimento N 0049 0022 0078 0011 0885 0008 -1463Bancoob N 0066 0057 0077 0007 0854 0003 -4342Original N 0102 0019 0301 0096 0730 0006 -4526Banco Intermedium SA N 0059 0027 0083 0020 0752 0006 -4354

Table A8 ndash Continue on next page

45

Table A8 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0017 0217 0054 0776 0003 -7084Banco BBN SA N 0038 0022 0058 0010 0831 0011 -1492B Cooperativo Sicredi SA N 0047 0035 0071 0010 0879 0005 -259B Cooperativo do Brasil SA N 0046 0035 0128 0020 0919 0006 -1339Banco Topazio SA N 0075 0036 0153 0041 0855 0005 -2657Banco Gerador SA N 0091 0057 0144 0034 0869 0008 -173Banco Randon SA N 0124 0029 0332 0112 0799 0005 -4023Parana Banco SA N 0036 0021 0071 0012 0797 0008 -2452Banco Triangulo SA N 0053 0023 0115 0027 0839 0004 -4256Banco Guanabara SA N 0047 0020 0100 0019 0790 0004 -561Banco Cedula SA N 0066 0012 0362 0068 0747 0003 -10082Banco Cacique SA N 0063 0026 0231 0074 0789 0016 -1336Banco Luso Brasileiro SA N 0066 0026 0249 0053 0865 0005 -2985Banco Pecunia SA N 0034 0029 0041 0004 0784 0003 -7038Banco Zogbi SA N 0036 0027 0046 0006 0782 0002 -13399Banco Daycoval SA N 0054 0019 0131 0034 0784 0004 -607Banco John Deere SA N 0039 0015 0083 0018 0761 0003 -8316Banco AJ Renner SA N 0049 0024 0073 0013 0840 0006 -2621ABN Amro F 0041 0030 0066 0009 0890 0002 -6866Chase F 0059 0013 0173 0039 0801 0007 -2733LLoyds F 0038 0021 0055 0010 0821 0003 -5484BankBoston F 0040 0028 0063 0012 0888 0006 -1931Santander Brasil F 0056 0028 0107 0027 0866 0008 -1663Citibank F 0052 0022 0123 0023 0860 0003 -4735BNL F 0039 0028 0063 0014 0841 0005 -2966Sudameris F 0041 0036 0052 0006 0948 0011 -473Societe Generale F 0052 0020 0103 0022 0833 0006 -2579Europeu F 0038 0030 0049 0007 0856 0007 -2153ABC-Brasil F 0046 0029 0079 0014 0813 0003 -5935Dresdner F 0055 0014 0212 0052 0822 0005 -3913AGF Braseg F 0046 0027 0071 0014 0806 0005 -4276HSBC F 0053 0032 0101 0019 0949 0007 -784Deutsche F 0058 0013 0141 0029 0863 0005 -2878BNP Paribas F 0051 0030 0074 0012 0818 0004 -4118Barclays F 0066 0025 0130 0030 0805 0005 -4123Rabobank Int Brasil SA F 0049 0019 0109 0018 0844 0003 -4752B Nat de Paris Brasil SA F 0041 0019 0069 0018 0817 0005 -3368Ibibank SA - Banco Multiplo F 0046 0010 0095 0021 0781 0014 -1617Dresdner Bank - B Multiplo F 0093 0017 0282 0072 0782 0008 -2899Banco Westlb Do Brasil SA F 0044 0027 0069 0015 0850 0009 -1591Banco GE Capital SA F 0055 0026 0249 0046 0859 0009 -1489B Com Uruguai SA F 0071 0017 0228 0056 0845 0003 -46241S - State-owned bank N - National bank and F - Foreign bank

46

Table A9 Estimates of Lerner index and return to scale by bank - Model (4)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0054 0041 0078 0011 0939 0007 -873Banrisul S 0055 0040 0106 0014 0948 0008 -692BEC S 0046 0020 0072 0014 0846 0009 -1746BRB S 0057 0032 0094 0016 0959 0002 -1673BB S 0057 0038 0095 0014 0981 0006 -33Caixa Economica Federal S 0061 0049 0165 0021 1042 0003 1249B da Amazonia SA S 0056 0015 0117 0022 0844 0008 -2047B do Estado Do Para SA S 0059 0025 0103 0020 0936 0004 -1701B do E Do Maranhao SA S 0052 0044 0062 0005 0936 0014 -448B do E Do Piauı SA - Bep S 0054 0029 0147 0028 0865 0004 -3201B do Estado De Sergipe SA S 0061 0023 0168 0026 0947 0004 -1484Nossa Caixa - N Banco SA S 0054 0035 0085 0012 0977 0004 -547Bradesco N 0056 0036 0107 0017 0919 0004 -2123Itau N 0058 0030 0212 0032 0896 0003 -3979Safra N 0052 0035 0107 0013 0882 0003 -445Unibanco N 0052 0035 0082 0013 0892 0001 -7446Mercantil Do Brasil N 0057 0027 0093 0015 0942 0002 -2687BBM N 0075 0015 0294 0064 0784 0005 -4512BMC N 0050 0029 0074 0011 0846 0003 -472BMG N 0065 0016 0202 0047 0779 0003 -7192JMalucelli N 0048 0022 0071 0014 0720 0003 -8923PEBB N 0061 0016 0172 0044 0704 0008 -382SS N 0056 0033 0213 0037 0799 0007 -2875Sofisa N 0053 0020 0087 0019 0805 0002 -9731BIC N 0061 0033 0269 0048 0854 0005 -2768Schahin N 0053 0027 0205 0034 0836 0006 -2627Stock N 0081 0020 0265 0068 0820 0006 -3122Pine N 0052 0022 0118 0021 0808 0004 -5467Socopa N 0054 0026 0114 0016 0888 0003 -3785Intercap N 0057 0023 0203 0035 0815 0006 -2877Indusval N 0062 0029 0239 0043 0857 0005 -3085Bonsucesso N 0052 0019 0088 0018 0782 0005 -403Industrial do Brasil N 0050 0030 0076 0015 0809 0002 -9427Votorantim N 0051 0036 0102 0017 0817 0008 -2222Cacique N 0050 0023 0067 0013 0776 0005 -4659Inter Amex N 0052 0035 0064 0009 0837 0007 -2226Alfa N 0048 0039 0071 0007 0805 0002 -11484Rendimento N 0052 0022 0076 0013 0874 0008 -1571Bancoob N 0057 0045 0071 0011 0855 0003 -5022Original N 0094 0017 0278 0090 0730 0006 -4242Banco Intermedium SA N 0049 0027 0065 0014 0746 0006 -4054

Table A9 ndash Continue on next page

47

Table A9 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0019 0220 0050 0764 0003 -7516Banco BBN SA N 0050 0027 0072 0013 0819 0012 -1529B Cooperativo Sicredi SA N 0051 0041 0068 0006 0875 0005 -2551B Cooperativo do Brasil SA N 0053 0044 0134 0018 0910 0006 -151Banco Topazio SA N 0066 0035 0128 0036 0837 0005 -2981Banco Gerador SA N 0082 0045 0157 0043 0854 0007 -1967Banco Randon SA N 0106 0026 0312 0105 0786 0005 -4204Parana Banco SA N 0048 0025 0102 0018 0787 0008 -2768Banco Triangulo SA N 0054 0027 0088 0021 0834 0004 -427Banco Guanabara SA N 0051 0023 0161 0025 0780 0004 -5659Banco Cedula SA N 0069 0012 0360 0065 0735 0003 -1028Banco Cacique SA N 0073 0027 0240 0075 0786 0016 -1327Banco Luso Brasileiro SA N 0065 0026 0242 0047 0852 0004 -346Banco Pecunia SA N 0045 0037 0056 0006 0773 0003 -7139Banco Zogbi SA N 0048 0036 0064 0010 0779 0001 -15057Banco Daycoval SA N 0055 0022 0126 0030 0784 0004 -568Banco John Deere SA N 0056 0018 0125 0031 0757 0003 -8084Banco AJ Renner SA N 0051 0025 0077 0013 0829 0006 -2763ABN Amro F 0053 0038 0074 0013 0909 0002 -4803Chase F 0066 0014 0220 0046 0793 0008 -2711LLoyds F 0050 0026 0060 0011 0825 0003 -5323BankBoston F 0054 0038 0092 0018 0899 0006 -1734Santander Brasil F 0056 0033 0098 0019 0885 0007 -1529Citibank F 0059 0025 0145 0030 0872 0003 -421BNL F 0052 0039 0091 0018 0840 0006 -2854Sudameris F 0053 0046 0062 0005 0961 0011 -352Societe Generale F 0058 0023 0144 0028 0827 0006 -2968Europeu F 0052 0031 0069 0012 0849 0007 -23ABC-Brasil F 0051 0028 0091 0015 0815 0003 -6225Dresdner F 0078 0017 0271 0071 0816 0005 -339AGF Braseg F 0050 0030 0094 0015 0797 0004 -4873HSBC F 0057 0045 0116 0016 0966 0006 -562Deutsche F 0066 0013 0151 0034 0858 0004 -3316BNP Paribas F 0050 0036 0071 0010 0823 0005 -3772Barclays F 0057 0024 0102 0025 0777 0007 -3003Rabobank Int Brasil SA F 0057 0021 0157 0026 0842 0003 -5266B Nat de Paris Brasil SA F 0059 0023 0102 0030 0812 0006 -3387Ibibank SA - Banco Multiplo F 0056 0012 0100 0023 0781 0015 -148Dresdner Bank - B Multiplo F 0084 0016 0237 0064 0771 0008 -2798Banco Westlb Do Brasil SA F 0061 0033 0101 0025 0841 0010 -1646Banco GE Capital SA F 0063 0031 0238 0044 0853 0010 -1548B Com Uruguai SA F 0074 0020 0226 0056 0833 0003 -51921S - State-owned bank N - National bank and F - Foreign bank

48

Table A10 Estimates of Lerner index and return to scale by bank - Model (5)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0043 0093 0012 0940 0007 -834Banrisul S 0054 0041 0083 0009 0949 0008 -668BEC S 0046 0020 0075 0014 0846 0009 -1719BRB S 0058 0032 0121 0017 0960 0002 -1607BB S 0056 0037 0087 0010 0981 0006 -321Caixa Economica Federal S 0061 0050 0156 0019 1044 0003 1282B da Amazonia SA S 0057 0016 0115 0023 0843 0008 -2023B do Estado Do Para SA S 0059 0027 0102 0020 0938 0004 -1608B do E Do Maranhao SA S 0052 0042 0064 0006 0939 0015 -418B do E Do Piauı SA - Bep S 0054 0029 0138 0025 0866 0004 -3097B do Estado De Sergipe SA S 0059 0024 0136 0020 0949 0004 -1404Nossa Caixa - N Banco SA S 0055 0036 0088 0013 0979 0004 -494Bradesco N 0056 0037 0108 0016 0918 0004 -2108Itau N 0058 0031 0213 0033 0894 0003 -3968Safra N 0052 0036 0086 0010 0881 0003 -4388Unibanco N 0053 0037 0085 0013 0892 0001 -7433Mercantil Do Brasil N 0057 0027 0086 0012 0943 0002 -2619BBM N 0075 0015 0292 0063 0784 0005 -447BMC N 0050 0029 0077 0012 0846 0003 -4648BMG N 0067 0017 0220 0051 0777 0003 -7116JMalucelli N 0049 0022 0083 0016 0718 0003 -8879PEBB N 0060 0017 0176 0044 0704 0008 -3743SS N 0059 0032 0223 0041 0798 0007 -2847Sofisa N 0055 0021 0112 0022 0804 0002 -9624BIC N 0060 0032 0238 0041 0853 0005 -2725Schahin N 0055 0028 0228 0038 0836 0006 -2575Stock N 0082 0019 0267 0068 0821 0006 -3063Pine N 0052 0022 0096 0018 0808 0004 -5392Socopa N 0055 0027 0113 0016 0889 0003 -3694Intercap N 0060 0023 0210 0037 0814 0006 -2856Indusval N 0062 0029 0245 0044 0857 0005 -3023Bonsucesso N 0053 0020 0113 0022 0781 0005 -3999Industrial do Brasil N 0051 0030 0084 0016 0808 0002 -9274Votorantim N 0052 0037 0130 0022 0816 0008 -2227Cacique N 0049 0024 0065 0012 0775 0005 -4632Inter Amex N 0052 0034 0067 0011 0837 0007 -2236Alfa N 0047 0041 0056 0004 0804 0002 -11448Rendimento N 0053 0022 0079 0011 0874 0008 -1549Bancoob N 0056 0050 0064 0005 0856 0003 -4874Original N 0087 0018 0288 0093 0728 0006 -4259Banco Intermedium SA N 0055 0027 0078 0019 0744 0006 -4047

Table A10 ndash Continue on next page

49

Table A10 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0217 0048 0763 0003 -7417Banco BBN SA N 0051 0026 0075 0014 0820 0012 -1504B Cooperativo Sicredi SA N 0051 0040 0061 0005 0876 0005 -2499B Cooperativo do Brasil SA N 0054 0043 0136 0019 0912 0006 -1445Banco Topazio SA N 0061 0034 0109 0026 0838 0006 -2897Banco Gerador SA N 0073 0052 0124 0026 0855 0008 -1918Banco Randon SA N 0120 0024 0327 0114 0785 0005 -4153Parana Banco SA N 0048 0026 0106 0020 0786 0008 -2732Banco Triangulo SA N 0055 0027 0111 0022 0834 0004 -4227Banco Guanabara SA N 0052 0024 0153 0024 0779 0004 -5589Banco Cedula SA N 0069 0012 0339 0062 0734 0003 -10232Banco Cacique SA N 0076 0027 0246 0076 0785 0016 -1317Banco Luso Brasileiro SA N 0067 0027 0207 0047 0852 0004 -3379Banco Pecunia SA N 0046 0038 0054 0006 0773 0003 -71Banco Zogbi SA N 0047 0037 0061 0010 0778 0001 -14931Banco Daycoval SA N 0054 0022 0126 0026 0782 0004 -5661Banco John Deere SA N 0056 0018 0129 0031 0756 0003 -8043Banco AJ Renner SA N 0053 0025 0080 0015 0829 0006 -2716ABN Amro F 0053 0038 0074 0012 0908 0002 -4751Chase F 0067 0014 0225 0047 0792 0008 -2693LLoyds F 0049 0025 0064 0012 0824 0003 -5227BankBoston F 0054 0037 0096 0020 0899 0006 -1701Santander Brasil F 0057 0033 0103 0019 0884 0008 -1511Citibank F 0059 0026 0154 0028 0871 0003 -4204BNL F 0052 0037 0097 0020 0840 0006 -28Sudameris F 0052 0045 0058 0005 0962 0011 -334Societe Generale F 0060 0023 0151 0031 0827 0006 -2924Europeu F 0050 0032 0066 0012 0849 0007 -2263ABC-Brasil F 0051 0025 0079 0014 0814 0003 -617Dresdner F 0080 0017 0276 0073 0816 0005 -3374AGF Braseg F 0050 0031 0093 0015 0796 0004 -4812HSBC F 0057 0043 0093 0011 0966 0006 -541Deutsche F 0066 0013 0155 0035 0858 0004 -3244BNP Paribas F 0050 0035 0067 0008 0822 0005 -3775Barclays F 0056 0024 0113 0025 0778 0007 -305Rabobank Int Brasil SA F 0057 0021 0163 0027 0842 0003 -5208B Nat de Paris Brasil SA F 0058 0022 0100 0029 0812 0006 -3343Ibibank SA - Banco Multiplo F 0057 0012 0099 0023 0780 0015 -1478Dresdner Bank - B Multiplo F 0087 0016 0244 0068 0770 0008 -2768Banco Westlb Do Brasil SA F 0063 0034 0106 0026 0841 0010 -1625Banco GE Capital SA F 0064 0032 0247 0046 0853 0010 -1522B Com Uruguai SA F 0073 0019 0191 0049 0833 0003 -50981S - State-owned bank N - National bank and F - Foreign bank

50

Table A11 Estimates of Lerner index and return to scale by bank - Model (6)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0036 0096 0015 0939 0007 -855Banrisul S 0050 0035 0098 0014 0938 0008 -82BEC S 0041 0019 0067 0012 0855 0009 -1644BRB S 0053 0029 0124 0018 0956 0002 -1996BB S 0051 0032 0088 0013 0954 0006 -807Caixa Economica Federal S 0054 0040 0094 0012 1014 0003 475B da Amazonia SA S 0053 0015 0103 0022 0846 0008 -205B do Estado Do Para SA S 0051 0028 0074 0013 0943 0004 -1319B do E Do Maranhao SA S 0041 0031 0059 0008 0950 0014 -346B do E Do Piauı SA - Bep S 0042 0028 0084 0012 0879 0004 -2727B do Estado De Sergipe SA S 0052 0022 0153 0022 0953 0003 -1377Nossa Caixa - N Banco SA S 0047 0032 0081 0014 0969 0004 -74Bradesco N 0052 0032 0097 0019 0898 0004 -2645Itau N 0054 0027 0190 0031 0877 0003 -4452Safra N 0049 0032 0100 0015 0872 0003 -5056Unibanco N 0043 0032 0067 0010 0878 0001 -8666Mercantil Do Brasil N 0053 0026 0087 0017 0938 0002 -3104BBM N 0066 0013 0251 0056 0792 0005 -4556BMC N 0041 0026 0069 0011 0850 0003 -4582BMG N 0067 0016 0228 0057 0781 0003 -6611JMalucelli N 0051 0022 0089 0017 0725 0003 -9344PEBB N 0046 0015 0157 0039 0728 0008 -3313SS N 0058 0025 0230 0046 0801 0007 -292Sofisa N 0053 0020 0119 0025 0809 0002 -8846BIC N 0060 0029 0262 0049 0852 0005 -2697Schahin N 0049 0025 0229 0040 0843 0006 -2523Stock N 0081 0017 0284 0072 0836 0005 -2986Pine N 0049 0021 0112 0019 0812 0004 -5267Socopa N 0050 0026 0095 0015 0900 0003 -3515Intercap N 0055 0021 0196 0035 0828 0006 -2899Indusval N 0061 0029 0262 0049 0863 0005 -2762Bonsucesso N 0052 0019 0123 0026 0791 0005 -3885Industrial do Brasil N 0046 0027 0088 0015 0816 0002 -8698Votorantim N 0051 0027 0139 0027 0813 0007 -262Cacique N 0039 0022 0050 0009 0784 0005 -4707Inter Amex N 0045 0027 0064 0012 0843 0006 -2493Alfa N 0044 0033 0068 0009 0805 0002 -12111Rendimento N 0050 0022 0073 0010 0883 0008 -1543Bancoob N 0066 0055 0072 0007 0856 0003 -4559Original N 0098 0020 0294 0094 0735 0006 -4509Banco Intermedium SA N 0057 0024 0085 0022 0756 0006 -4324

Table A11 ndash Continue on next page

51

Table A11 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0061 0017 0195 0048 0777 0003 -7233Banco BBN SA N 0042 0023 0059 0012 0831 0011 -1529B Cooperativo Sicredi SA N 0048 0035 0066 0009 0879 0005 -2672B Cooperativo do Brasil SA N 0046 0034 0119 0017 0917 0006 -1439Banco Topazio SA N 0070 0031 0129 0036 0853 0005 -2776Banco Gerador SA N 0086 0057 0148 0034 0867 0007 -1825Banco Randon SA N 0126 0028 0331 0114 0799 0005 -4136Parana Banco SA N 0039 0023 0082 0015 0798 0008 -2556Banco Triangulo SA N 0052 0025 0116 0025 0840 0004 -4363Banco Guanabara SA N 0048 0021 0100 0019 0792 0004 -5683Banco Cedula SA N 0067 0013 0356 0067 0749 0002 -10205Banco Cacique SA N 0067 0026 0232 0073 0792 0015 -1356Banco Luso Brasileiro SA N 0065 0025 0237 0052 0864 0004 -3163Banco Pecunia SA N 0037 0029 0045 0006 0786 0003 -7158Banco Zogbi SA N 0037 0027 0045 0007 0785 0002 -13921Banco Daycoval SA N 0053 0020 0120 0031 0787 0003 -6088Banco John Deere SA N 0043 0017 0099 0022 0764 0003 -8346Banco AJ Renner SA N 0050 0025 0080 0013 0840 0006 -2706ABN Amro F 0043 0035 0067 0008 0894 0002 -6685Chase F 0059 0014 0189 0040 0803 0007 -2772LLoyds F 0039 0021 0055 0012 0824 0003 -5536BankBoston F 0044 0029 0075 0015 0890 0006 -1965Santander Brasil F 0054 0028 0107 0024 0871 0008 -1694Citibank F 0054 0023 0133 0026 0863 0003 -4787BNL F 0042 0028 0078 0018 0843 0005 -2998Sudameris F 0041 0036 0052 0006 0948 0010 -491Societe Generale F 0054 0020 0118 0025 0834 0006 -2716Europeu F 0038 0029 0049 0008 0856 0006 -2239ABC-Brasil F 0046 0028 0084 0014 0816 0003 -6111Dresdner F 0063 0015 0239 0061 0823 0005 -3888AGF Braseg F 0047 0027 0074 0014 0807 0004 -4477HSBC F 0054 0032 0109 0018 0950 0006 -823Deutsche F 0058 0013 0122 0028 0863 0004 -305BNP Paribas F 0051 0032 0070 0011 0822 0004 -4145Barclays F 0064 0024 0128 0029 0802 0005 -4051Rabobank Int Brasil SA F 0051 0019 0130 0021 0846 0003 -4992B Nat de Paris Brasil SA F 0043 0019 0070 0019 0819 0005 -3429Ibibank SA - Banco Multiplo F 0049 0010 0083 0020 0785 0013 -161Dresdner Bank - B Multiplo F 0087 0016 0261 0066 0783 0007 -2901Banco Westlb Do Brasil SA F 0051 0030 0082 0019 0850 0009 -1643Banco GE Capital SA F 0053 0028 0239 0044 0859 0009 -1544B Com Uruguai SA F 0071 0017 0217 0054 0845 0003 -48451S - State-owned bank N - National bank and F - Foreign bank

52

Seacuterie de Textos para Discussatildeo do Curso de Ciecircncias Econocircmicas ndash FACEUFG ndash TD [078]

EDITORIAL FACE ndash Faculdade de Administraccedilatildeo Ciecircncias Contaacutebeis e Ciecircncias Econocircmicas Curso de Ciecircncias Econocircmicas Direccedilatildeo FACE Prof Moiseacutes Ferreira da Cunha Vice-Direccedilatildeo FACE Profordf Andreacutea Freire de Lucena Coordenaccedilatildeo do Curso de Ciecircncias Econocircmicas Prof Tiago Camarinha Lopes NEPEC ndash Nuacutecleo de Estudos e Pesquisas Econocircmicas Coordenaccedilatildeo Prof Seacutergio Fornazier Meyrelles Filho SEacuteRIE DE TEXTOS PARA DISCUSSAtildeO DO CURSO DE CIEcircNCIAS ECONOcircMICAS DA UFG Coordenaccedilatildeo e Equipe de Editoraccedilatildeo Prof Sandro Eduardo Monsueto Adriana Moura Guimaratildees Matheus Henrique de Arauacutejo Dutra

Endereccedilo Campus Samambaia Preacutedio da FACE ndash Rodovia GoiacircniaNova Veneza km 0 ndash CEP 74690-900 Goiacircnia ndash GO Tel (62) 3521 ndash 1390 URL httpwwwfaceufgbreconomia Publicaccedilatildeo cujo objetivo eacute divulgar resultados de estudos que contam com a participaccedilatildeo de pesquisadores do NEPEC As opiniotildees contidas nesta publicaccedilatildeo satildeo de inteira responsabilidade do(s) autor(es) natildeo representando necessariamente o ponto de vista do NEPEC ou da FACEUFG Eacute permitida a reproduccedilatildeo desde que citada a fonte

Page 5: 1(3(& )$&( 8)* · The Dark Side of Prudential MeasuresI Paulo R. Scalco a, Benjamin M. Tabak1, Anderson M. Teixeira aFaculty of Management, Accounting and Economics, Federal University

associated with firm financing growth

In light of this situation this article in a pioneering way investigates the influence of

some prudential measures (micro and macroprudential) on the market power of Brazilian

banks using a new class of market power estimation models based on border techniques

(Stochastic Frontier Analysis - SFA) initially proposed by Kumbhakar et al (2012)

The central hypothesis formulated in this paper is that prudential rules to which FIs are

subject may affect banks market power According to Claessens amp Laeven (2004) any policy

that restricts banking activity and makes it challenging to operate has negative impacts on

market competition since it enables large banks to increase their market power Therefore

a strict prudential regulatory framework could affect concentration indices and influence the

market power of FIs since the implementation of Basel I agreements in 1988

Our main contribution is to demonstrate that tightening on prudential measures has

a positive impact on bank mark-ups and therefore detrimental effects on competition in

the Brazilian banking industry Although not wholly comparable intuitively our results

are contrary to those of Cubillas amp Suarez (2018) A second empirical verification was to

establish a positive relationship between concentration and mark-up in the same sense estab-

lished by the traditional structure-conduct-performance paradigm of industrial organization

literature

Another contribution concerns the empirical method For the first time we employ

SFA models to estimate market power for Brazilian banks on an individual basis With

the estimation of the Lerner indexes for each bank it is possible to evaluate the market

power according to ownership and to verify that state-owned banks have market power

slightly lower than the private banks and foreign banks respectively Finally we also obtain

estimates of returns to scale that provides some evidence that Brazilrsquos financial institutions

operate with decreasing returns to scale

Although there is a large body of literature that shows the positive effects of prudential

measures ndash micro and macro ndash there is scarce literature that discusses the adverse effects of

these policies Most of the literature focuses on the effectiveness of these measures (Claessens

et al 2013 Cerutti et al 2017ab Jimenez et al 2017 Altunbas et al 2018 Ely et al

3

2019 Klingelhoger amp Sun 2019 Richter et al 2019) We present evidence that this effect

comes with a cost This reult is even more true for countries with imperfect credit markets

such as Brazil in which banking spreads are very high in real terms

We organize the remainder of the paper as follows In section two we present related

literature We present the empirical model in section three while we describe the database

and the empirical strategy in section four In the fifth section we present our main results

and in the sixth and last section we present our final considerations

2 Brief Literature Review

We can divide the literature related to our article into two groups The first group focuses

on the effectiveness of prudential measures while the second focuses on the traditional

literature of industrial organization more specifically on the estimation of market power

Before GFC the focus of financial regulation for banks and other financial intermediaries

was on instruments aimed at reducing the risk of bankruptcy ie measures of a micropru-

dential nature and not on the financial system as a whole However as seen in the GFC the

bankruptcy of a large FI put at risk the solvency of the system as a whole When a large

FI fails there is potential for amplification and contagion in the banking system These

effects may lead to cascade failures in the financial system which can provoke a significant

shock that affects the real sector adversely In order to account for the interconnections that

may exist between financial system players financial regulation changed its focus to curb

systemic risk using macroprudential measures

The works of Moreno (2011) Galati amp Moessner (2013) Lim et al (2011) Claessens

et al (2013) Claessens (2015) and Freixas et al (2015) summarize the main prudential

instruments (microprudential and macroprudential) implemented by developed and devel-

oping countries Also they present their meaning and purpose to mitigate the probability

of bankruptcy of FIs and the systemic risk arising from the procyclicality and the intercon-

nectivity between FIs

Among the empirical studies Lim et al (2011) analyze the links between macroprudential

policies and the development of the credit market and bank leverage They find evidence

4

suggesting that the presence of policies such as limits on maximum loan value (LTV) limits of

indebtedness (DTI) limits of credit growth capital reserve requirements and dynamic rules

of provisioning are associated with reductions in the procyclicality of credit and leverage

Claessens et al (2013) investigate how the change in the individual balance sheets of

banks in 48 countries in the period 2000-2010 responds to specific changes in some macro-

legal measures Among the main results the authors show that the maximum limits of

LTV DTI and the maximum limits of foreign currency lending are effective in reducing the

growth of bank leverage and the price of assets

Aiyar et al (2014) show that in response to stricter capital requirements (capital re-

quirement) regulated banks reduce borrowing while unregulated banks may even increase

Gropp et al (2018) study the requirement for higher capital requirements Its results point

to a reduction in credit and a smaller search for capital to meet the new targets Auer

amp Ongena (2019) find that an additional capital requirement on real estate loans leads to

growth in the retail lending channel

In addition to this empirical evidence Cerutti et al (2017a) using an IMF survey cover-

ing the use of twelve macroprudential measures in 119 countries over the period 2000-2013

indicate that in general emerging countries use intensely such instruments Also instru-

ments such as LTV and others that limit the level of indebtedness are associated with the

decline in credit growth especially real estate lending

Other studies however focusing on a few prudential measures and for few countries also

stand out Igan amp Kang (2011) investigate only the effectiveness of LTV and DTI measures

in Korea Wong et al (2011) also use only the LTV and DTI measures to investigate the

behavior of real estate credit and real estate prices in Hong Kong Camors amp Peydro (2014)

investigate the effect of capital withdrawal in Uruguay in the year 2008 Aiyar et al (2014)

also investigate the capital requirement for UK banks and confirm a substantial effect on

the bank loan Finally more recently Altunbas et al (2018) direct the investigation of the

effectiveness of macroprudential measures for the risk behavior of banks

Overall this literature shows that for different countries samples and prudential mea-

sures there is a positive effect on systemic risk Countries that implement these measures

5

can reduce their lending growth to more sustainable levels and improve their financial sta-

bility However what is the costs of these measures Is there a trade-off in using such

measures We now discuss the market power and bank competition literature to assess the

second strand of the literature that helps us make our connection

In the competition-related literature in the banking industry research models and ap-

proaches generally have a limitation due to the structure and availability of data However

the model of Panzar amp Rosse (1987) - PR - is a standard method when one wants to evaluate

the degree of competition in the industry Only in Brazil we can cite the works of Belaisch

(2003) Araujo amp Jorge Neto (2007) Lucinda (2010) Tabak et al (2012) Silva Barbosa

et al (2015) Tabak amp Gomes (2015) and Cardoso et al (2016) In our investigation we

found only two other studies that did not use the PR model Nakane (2002) uses a structural

model as proposed by Bresnahan amp Reiss (1991) and Coelho et al (2013) use a bank entry

model developed by Bresnahan (1982) Internationally the literature is vast and Bikker

et al (2012) offers a comprehensive survey of the literature developed around the world

Most papers that use the PR H-statistic assume it has a monotonic relationship with

bank competition Panzar amp Rosse (1987) did not establish this monotonic relation between

H-Statistic and the degree of market competition The magnitude of the H-Statistic relates

to ranges of values that refer to the hypothesis underlying the market structure Thus it does

not represent a monotonic relationship with the degree of market power (Panzar amp Rosse

1987 Bikker et al 2012 Cardoso et al 2016) Another problem is that the hypotheses

underlying the equilibria of monopolistic and perfect competition in the PR model use

another extremely restrictive set of hypotheses An important one is that the observed data

is from firms that operate in long-term equilibrium Also the model is susceptible to the

variables used and the specification used in the estimation process of the model (Hyde amp

Perloff 1995) Bikker et al (2012) are more emphatic and argue that the H-Statistic does

not even have an ordinal function with the level of competition in the industry

Given that what the evidence suggests is that H-statistics is not a reliable measure of

the degree of market power in an industry At least not in a continuous sense or monotonic

of measure Hyde amp Perloff (1995) emphasize that although structural models have some

6

influence on the specifications of their functions they would still be the only models capable

of providing an estimate of the degree of market power

Given this context we will use a new class of models to measure the degree of market

power proposed by Kumbhakar et al (2012) and based on stochastic boundary analysis

techniques (SFA) The SFA models have several advantages when compared to the traditional

models of literature known as New Industrial Empirical Organization (NEIO) and allow

estimating in a single model a unified structure a mark-up measure and an indicator of

market power Also we can obtain measures of elasticity return to scale and efficiency

Among the main advantages of SFA models it is possible to emphasize the flexibility

and the low requirement of information for estimations of the models The method also

allows estimating market power with or without constant returns to scale and provides an

estimate of the degree of market power in the same style as the Lerner index (Lerner 1934)

thereby circumventing the critique of the use of H as a monotonic measure of the degree

of competition Another advantage of the method is that unlike most NEIO models this

measure of market power is not only an estimate of the average parameter of the competition

level of the industry but the method also allows estimating a measure of the degree of market

power per bank and over time In the same way it is possible to estimate the returns to

the banksrsquo scale Finally the SFA technique allows the parameter of market power to be a

function of deterministic variables

One of the pioneering works using SFA techniques in the banking industry is the work

of Coccorese (2014) In this article the author estimates the Lerner index for each bank

individually for a group of countries between 1994 and 2012 with the results being broadly

comparable with the traditional NEIO models More recently Das amp Kumbhakar (2016)

have also used this class of models to investigate the market power of Indian banks

We use this model to evaluate the effect of prudential measures on the bankrsquos market

power Combining an SFA method with data on prudential measures we can estimate these

effects We use prudential measures as explanatory variables for the market power parameter

that we estimate in the SFA

7

3 Empirical Method

31 Empirical Model

Our empirical model follows the models proposed by Coccorese (2014) and Das amp Kumb-

hakar (2016) However we incorporate the possibility that the mark-up has two components

a purely stochastic and a deterministic part The derivation of the model starts from the

equilibrium condition that for a profit-maximizing bank (P ) will be greater than or equal

to its Marginal Cost (MC)

P geMC (1)

The distance between P and MC determines the degree of market power of the bank

If we multiply both terms of the inequality in equation 1 by the ratio of the total product

(Y ) and the total cost (C) and considering that MC = partCpartY

we have

P middot YCge partC

partY

Y

C (2)

or

TR

Cge partlnC

partlnY (3)

Where TR corresponds to the total revenue and the relationship established in equation 3

states that in the same way as price deviates from its marginal cost the revenue-cost ratio

of the bank (TRC) detracts from its cost-elasticity

The inequality in equation 3 can be solved by adding a non-negative term u Thus

RC equiv TR

C=

partlnC

partlnY+ u u ge 0 (4)

RC is the observed revenue-cost ratio and partlnCpartlnY

is the cost-elasticity The non-negative

term u represents the mark-up of the bank however it can not be calculated using the

bankrsquos accounting data because the cost elasticity unlike RC must be calculated from a cost

8

function In addition the revenue-cost ratio can be affected by other unobserved variables

To accommodate this assumption we add a random error term iid v to equation 4

RC =partlnC

partlnY+ u+ v (5)

32 Primal Approach

As equation 5 has been defined we need to specify a cost function to estimate the term

u that is we are using a dual approach in the context of production theory Kumbhakar

et al (2012) show however that SFA models can use both the dual and primal approaches

to estimate market power In the dual approach the total cost of the bank depends on

the output quantity and input prices and the primal approach we can specify a produc-

tion function (or an input-distance function) where the output is a function of only input

quantities

This flexibility is essential because unlike many examples in the banking industry we do

not have information available on input prices When empirical models need this informa-

tion such as the PR model for example researchers circumvent this problem by estimating

input price estimates from accounting information such as the ratio between expenditure

and the amount of input used (expenditure on staff on total assets for example) The use

of this artifice however as highlighted by Kumbhakar et al (2012) can generate problems

in situations where the amount of input is endogenous

Thus like Das amp Kumbhakar (2016) we use the primal form as an alternative to the dual

form We start from the specification of a transformation function defined as Af(x Y T ) =

1 where f(middot) is a production function for a given technology Y is the quantity produced x

is the quantity vector of inputs used T is a trend variable capturing technological changes

and A is a parameter of neutral technological shift

Using a set of appropriate identification restrictions (Kumbhakar 2012) we can derive a

function input distance (IDF) from the transformation function given by xJ = Ah(x Y T )

or lnxJ = Ah(ln x lnY T ) where xj =xj

xJ j = 1 2 J minus 1 The IDF uses the normal-

ization that f(x Y T ) is homogeneous of degree minus1 iesum

jpartlnfpartlnxj

= minus1

9

Assuming that banks minimize the cost subject to technology specified by the production

function the Lagrangian for the minimization can be defined as

L = wrsquox + λ(Af(x Y T )minus 1) (6)

where w is a vector of input prices and the corresponding first order condition is

wj = minusλApartf(middot)partxj

j = 1 2 J (7)

Multiplying and dividing both sides by xj and f(middot) and rearranging terms we can

rewrite 7 as

wjxj = minusλAf(middot)partf(middot)partxj

xjf(middot)

= minusλAf(middot)partlnf(middot)partlnxj

j = 1 2 J (8)

If we take the sum of all inputs equation 8 becomes

C =Jsum

j=1

wjxj = minusλAf(middot)Jsum

j=1

partlnf(middot)partlnxj

rArr minusλA =C

f(middot)middot 1sumJ

j=1partlnf(middot)partlnxj

(9)

From the envelop Theorem we have that the marginal cost (MC) is partLpartYequiv MC =

λApartf(middot)partY

= 0

If we use equation 9 we can express it as

MC = minus C

f(middot)middot 1sumJ

j=1partlnf(middot)partlnxj

middot partf(middot)partY

partC

party

Y

Cequiv partlnC

partlny= minuspartf(middot)

partY

Y

f(middot)middot 1sumJ

j=1partlnf(middot)partlnxj

EC equivpartlnC

partlny= minuspartlnf(middot)

partlnYmiddot 1sumJ

j=1partlnf(middot)partlnxj

=partlnf(middot)partlnY

equiv EY (10)

Equation 10 states that the Cost Elasticity (EC) equals Product elasticity (EY ) which

can be calculated from the parameters of the distance input function (IDF) This result

10

is important because it means that we can substitute the term on the right side of the

equation 5 by product elasticity that is

RC =partlnf(middot)partlny

+ u+ v u ge 0 (11)

The advantage of estimating equation 11 rather than equation 5 is that we can estimate

mark-ups without the need for input and output prices that is we only need the information

on revenue and total cost of banks and the respective input quantities

In order to estimate the mark-up defined in equation 11 we assume that the transforma-

tion function takes a form of the translog type and apply the appropriate normalizations as

in Kumbhakar (2012) to express the transformation function in the form of an input input

function given by

lnx1 = α0 +Jminus1sumj=1

αjlnxj +1

2

Jminus1sumj=1

Jsumk=2

αjklnxjlnxk

+ αY lnY +1

2αY Y (lnY )2 +

Jminus1sumj=1

αjY lnxjlnY+ + αTT +1

2αTTT

2

+Jminus1sumj=1

αjT lnxjT + αY TT lnY

(12)

from which we can derive the product-elasticity as

EY equivpartlnx1partlnY

= αY + αY Y lnY +Jminus1sumj=1

αjY lnxj + αY TT (13)

where xj =xj

xJ j = 1 2 J minus 1

Replacing equation 13 in equation 11 we define our empirical equation as

RC = αY + αY Y lnY +Jminus1sumj=1

αjY lnxj + αY TT + u+ v (14)

As highlighted by Kumbhakar et al (2012) once that we are interested in estimating

the individual mark-up of each bank we need to focus only on 14 without the need to

11

estimate the full distance input function defined by 12 Besides since the compound error

term (ε = u + v) is the same in the SFA models we use the Maximum Likelihood method

to estimate the model (14) For this it is necessary to assume a hypothesis about the

distribution of the two components

We follow the literature and assume that the random error component v is independent

and identically distributed with a normal distribution zero mean and constant variance

that is v sim N(0 σ2v) On the other hand for the nonnegative component u representing

the banksrsquo mark-up we extend the models of by Coccorese (2014) and Das amp Kumbhakar

(2016) and separating the deviation from the competitive frontier in a deterministic part

which is a function of a vector of explanatory variables Zrsquo of the purely stochastic part

Following the SFA literature we estimate the deterministic component of mark-up si-

multaneously with the parameters of the 14 in the same way as Lopez et al (2018) This

procedure reduces possibility of bias of the estimates when the stochastic term includes

determinants of deviations Thus the mark-up (u) in 14 can be represented by

u = Zrsquoδ + ω (15)

where ω is the stochastic component of mark-up and is defined by a truncated normal

distribution with zero mean and constant variance σ2ω such that ω ge -Zrsquoδ Therefore the

mark-up (u) follows a distribution u sim N+(Zrsquoδ σ2ω)

Combining equations 14 and 15 the model we estimate is as follows

RC = αY + αY Y lnY +Jminus1sumj=1

αjY lnxj + αY TT + Zrsquoδ + ωit + v (16)

In order to verify the impact of prudential measures on the degree of competition we

have included the measures Cerutti et al (2016) as determinants of mark-up in addition to

a measure of concentration represented by the HHI calculated from the total assets of the

banks

12

33 Market Power

To measure the degree of power of each bank we use the traditional measure defined by

Lerner (1934)

L =P minusMC

P (17)

if L = 0 P = MC and for any value L gt 0 P gt MC In the limit L = 1

The connection between the SFA model (equation 16) and the Lerner index is done

rearranging the equation 5 Omitting the error term (v) for simplification we can rewrite

equation 5 as

P middot YC

partlnY

partlnCminus 1 = u

partlnY

partlnCmiddot (18)

Considering that partlnYpartlnC

= (partYpartC

)(CY

) we have

P minusMC

MC=

u

EC

middot (19)

Equation 19 corresponds to an alternative definition of mark-up called θ where the

distance between price and marginal cost is expressed as a fraction of the latter In addition

since the function input distance is dual the cost function we can substitute EC for EY in

equation 19 and after estimating equation 16 and obtain estimates of the mark-up (u) the

estimation of market power can be obtained by replacing the values estimated in equation 19

as follow

θ equiv P minusMC

MC=

u

αY + αY Y lnY +sumJminus1

j=1 αjY ln xj + αY TT (20)

This estimate can be used to obtain the traditional measure of Lerner index as in

equation 16 employing the following formula

L =θ

1 + θ (21)

13

34 Returns to Scale

Finally we can use the estimates of equation 16 to obtain other characteristics of tech-

nology such as the return to scale and the scale bias Formally EC = partlnCpartlnY

= (partCpartY

)(YC) =

MCAC where AC represents the average cost This means that the return to scale is

inversely related to cost elasticity that is RTS = 1EC If EC = 1 we will have constant re-

turns to scale if EC lt 1 we will have increasing returns (economies of scale) and if (EC gt 1)

we will have decreasing returns (diseconomies of scale) Again using the duality condition

between IDF and the cost function we can use the estimates of equation 16 to calculate the

return to scale and scale bias Respectively

RTS =1

αY + αY Y lnY +sumJminus1

j=1 αjY ln xj + αY TT(22)

and

Scale Bias = αY T (23)

If the scale bias parameter (αY T ) is statistically significant and greater than zero this

suggests that technological change is reducing economies of scale over time

4 Database and empirical approach

The database used can be divided into two parts The first part includes the information

of all FI authorized to operate in Brazil by the Brazilian Central Bank (BCB) This infor-

mation is available on the BCBrsquos website through the IFdata system and contains detailed

information on the balance sheet income statement and credit portfolio of all IFs In ad-

dition data are available on an individual basis as well as on financial conglomerates and

prudential conglomerates1 For this work we use the concept of financial conglomerates In

1The BCB defines as a financial conglomerate the group of financial entities directly or unrelated byshareholding or by effective operational control characterized by standard management or by operatingin the market under the same brand or commercial name (Circular note no 1273 from Brazilian CentralBank) The concept of a prudential conglomerate in turn encompasses a broader universe of entities suchas consortium administrators payment institutions and companies that purchase credit operations (Officedocument no 1273 from Brazilian Central Bank)

14

December 2018 there was information on a total of 2753 IFs between commercial banks

or multiple banks with and without commercial portfolios credit cooperatives development

banks among others arranged quarterly since the first quarter of 2000

Our sample was restricted only to commercial banks or multiple banks with commercial

portfolios and savings banks Banks with loan portfolio equal zero and did not contain

information for at least three consecutive years were excluded In the same way we excluded

banks with observations that fell bellow 1st percentile of the sample for each one of variables

used in the model or above 99th percentile only for the dependent variable RC = TRC

Furthermore we chose to work with the data on a semi-annual basis (June and December

base dates) because inconsistencies we have found in some quarterly accounting data After

applying all these criteria our sample was restricted to a panel with only 83 banks between

the first half of 2000 and the second half of 2014 totaling 1818 observations2 In terms

of representativeness our sample with only 83 banks corresponded to 794 of the total

assets and 817 of the credit portfolio of the entire SFN in December 2014

The second database was obtained from Cerutti et al (2016) In this unprecedented

database the focus is on the change and intensity in the use of a set of prudential instruments

classified as micro-prudential and macro-prudential3 They collect the data for 64 countries

with a quarterly period covering the period between the first quarter of 2000 and the fourth

quarter of 2014 In the database in addition to a considerable number of countries the

information collected by the authors has the objective of mapping the intensity and the

change occurring quarterly in each of the prudential instruments

The original instruments of the database are the capital requirement capital buffer

interbank exposure limit concentration limit maximum loan amount commonly known as

Loan-to-value and reserve requirement

Concerning the capital requirement instrument we can understand it as an imposition

2Although the BCB has information until the second half of 2018 the database with prudential variablesavailable in the article by Cerutti et al (2016) goes only until the second half of 2014

3The database of Cerutti et al (2016) is a considerable advance to the available prudential data collectedso far in Lim et al (2011) and Cerutti et al (2017a) In both studies the focus is on only identifying whetheror not the country has implemented the appropriate prudential instrument

15

for a compulsory deposit with the BCB of demand deposits of financial institutions Capital

buffer serves as a buffer against countercyclical capital whose purpose is to protect the

banking sector in periods of excessive credit growth which is associated with increased

systemic risk On the other hand in periods of credit constraint the buffering capital may

decrease and thus not affecting the performance of the real side of the economy

The interbank exposure limit is a liability limiter maintained by the banking sector as a

whole or by a particular bank By the concentration limit we mean a procedure that limits

the fraction of assets concentrated to a limited number of borrowers

Loan-to-value is a restriction to the borrower or activity It is the imposition of maximum

amounts of loans on the value of collateral or even maximum amounts of indebtedness to the

income of the borrower Finally we can interpret a reserve requirement as an instrument

whose purpose is to limit the multiplication of money in the economy through the imposition

of compulsory deposits with the Central Bank

The prudential capital buffer instrument was broken down into the following categories

general capital requirement real estate credit consumer credit and others We decompose

the reserve requirement instrument into two sub-indices local domestic currency and foreign

currency

Information on intensity and change in prudential tooling is collected as follows by the

researchers If the financial regulator tightens the instrument in question in a specific quarter

the index assumes a value of +1 On the other hand if the same instrument undergoes

relaxation or loosening the value of minus1

Finally the index receives a value of zero if there was no change in the prudential

instrument in that quarter4 According to Cerutti et al (2016) in addition to capturing the

intensity of change in such a prudential policy this type of coding incorporates qualitative

characteristics of the policy that are lost by the type of dichotomous coding (1 if implemented

and 0 otherwise) Despite the simplicity of the coding used it is imperfectly able to measure

direction in policy change Not all the instruments available on the original basis were used

4For more details on how the base was built see Cerutti et al (2016)

16

because some measures were not implemented by the BCB Examples are the capital buffer

for real estate credit the concentration limit of banks to sectors or borrowers and the limit

on interbank exposure

Moreover due to the low variability in most measures and the semi-annual structure

of the database obtained in the BCB we chose to use the cumulative indexes of variation

According to Cerutti et al (2016) the purpose of this cumulative index is to capture the

level of tightness or looseness over a given period Finally to capture an overall measure of

prudential instruments we aggregate all variations of prudential instruments into a single

aggregate instrument called cumulative prudential Table A5 attached illustrates the

change and the intensity of the prudential instruments implemented by Brazil according to

the data collected by Cerutti et al (2016)

Our empirical strategy consists in estimating the equation 16 by Maximum Likelihood in

a two-stage procedure wherein the first stage we obtain the estimates of the parameters of

the equation and in the second stage we calculate the estimates of uit using the conditional

mean estimator of Jondrow et al (1982)

After obtaining the estimates of u and RC equiv EY we use equation 20 to calculate the

estimated values of θ which are used to calculat e the Lerner Index (L) according to

equation 21

We estimated six models wif different sets of deterministic variables (prudential measures)

to control the parameter of market power (uit) In the first model we did not add any

controls In the second we include only the HHI In the third specification we include the

capital buffer and capital requirement The fourth model uses only the loan-to-value In the

fifth model we include reserve requirements in both foreign and local currency and in the

last model we include the cumulative prudential measure which is the sum of the changes

in all other prudential measures

The inclusion of prudential variables in a separated way was necessary because they

represent only the tightening or the loosening of the prudential instrument Therefore they

do not represent the change in the magnitude of the prudential instrument As such the

variables have little variability and the high correlation generated between them causes

17

severe problems in the estimation process by maximum likelihood In general the tests with

the aggregate models did not reach the convergence of likelihood function even using different

strategies for initial values or optimization algorithm and when the optimization reaches an

optimal state the estimates were inconsistent For this reason we chose to estimate simpler

models including prudential variables separately or at most two when they represented

similar measures

Besides two critical events occurred in the second half of 2008 and significantly changed

the structure and dynamics of the banking industry in Brazil The outbreak of the subprime

crisis in the US and the acquisition of Unibanco by Itau in Brazil5 Itau-Unibanco has become

the largest bank in Brazil (Itau-Unibanco) accounting for 191 of total SFN assets and

184 of the total loan portfolio in the second half of 2008

We can observe the increase in market concentration in Figure 1 which represents HHI

concentration indices for total assets and total credit portfolio The increase in concentra-

tion levels of the banking industry on the other hand also coincides temporarily with the

outbreak of the GFC and an increase in rigidity in prudential instruments after the onset of

the crisis6

These events result in a high correlation between the variables and making it more

difficult to isolate the effects of each variable on the parameter of market power In this

way we also chose to estimate an HHI-only model as the control variable of market power

(uit)

Figure 1 Evolution of the Herfindahl Index (HHI) over time using credit and total assets

for the Brazilian banking system

We summarize the description of the variables that we will use in the estimation of

5Unibanco was the sixth largest Brazilian bank in the first half of 2008 accounting for 59 of total SFNassets and 6 of the total loan portfolio Also Itau was the third largest bank with 118 of SFN and119 of the loan portfolio

6Cubillas amp Suarez (2018) find the same result as the banksrsquo market power increased shortly after theGFC

18

equation 16 and how we calculate them in Table 1 All variables included in equation 16

except for trend prudential variables an HHI are in the logarithms form

Table 1 Variables used to IDF estimatation

5 Empirical Results

We present the results of the models in Table 2 Initially focusing on the interpretation

of the parameters of the input-distance function we verified that the size of the IF credit

portfolio (lnY ) has a negative sign but it was significant only for models 1 4 and 5 This

result implies that the larger the portfolio size the lower the revenue-cost ratio of the FI

Table 2 Results of IDF estimation

The coefficients of Staff costs (lnx1) and volume of funding (lnx2) were also negative

and significant in all models Thus the higher the staff costs and the higher the funding

volume the lower the cost-to-cost ratio of the FIs The trend variable as established by

equation 23 represents the scale bias and the negative sign would indicate that technological

change would increase economies of scale over time however no estimate was significant

51 Impact of Prudential Measures on Mark-up

The evaluation of the variables that determine the mark-up parameter (u) shows that

all of them are statistically significant and positive The SFA model is not linear in these

parameters Therefore the value of the coefficients does not represent the effect of the

magnitude of changes in the variables on the mark-up (their elasticities) However we can

estimate their marginal effects We present them for each variable in Figure 2

19

Figure 2 Marginal effects of HHI and prudential instruments (Capital Buffer Capital

RequirementLTV Reserve Requirement (Foreign) Reserve Requirement (domestic) and

cumulative prud) on themark-upucomponent

The positive sign of HHI in model 2 means that the more concentrated the banking

industry is the higher the market power of FIs This result is in line with that established by

the traditional structure-conduct-performance paradigm (Schmalensee 1989) However as

can be seen in Figure 1 the increase in the concentration index coincides with the tightening

of the prudential measures stemming from the GFC In this sense we can not say whether

this is the real effect of the increase in market concentration on the market power of FIs or

whether it is affected by the tightening of prudential measures

If we focus on prudential instruments the results for capital buffers and the capital

requirement (model 3) indicate that a tightening in these variables - whose purpose is to

increase banksrsquo capital reserve during positive shocks in the economy - has a detrimental

effect on competition market since they raise the IF mark-ups This effect happens because

this prudential measure influences the smoothing of the credit supply cycle

The same results are present for the loan-to-value variable (model 4) In general this

measure sets limits on the leverage of mortgages and other securities and a tightening in

ltv is effective in controlling possible booms in the real estate market by reducing real estate

prices and ultimately reducing the excess volatility of the economy ((Zhang amp Zoli 2016

Ely et al 2019) According to the result found the higher the limits the greater the market

power of the FIs

With respect to reserve requirements both in foreign and local currency - credit limits

directly in foreign currency and domestic currency respectively - the results (model 5) also

demonstrate a detrimental effect on competition since the tightening in such measures also

implies an increase mark-up of IFs In the model 6 where we introduce the aggregate

prudential measure the result found is similar to the others that is the higher the tightness

(in general) in the prudential measures of the financial system the higher the market power

of FIs

20

Unfortunately since prudential variables represent only a measure of tightening or loos-

ening of prudential policy and not its magnitude we can not accurately assess the impact

of these variables on the mark-up The marginal effects represented in Figure 2 give us only

an idea of how such variables affected the estimated mark-ups

However in general we can say that the positive signs of the estimates mean that the

higher the tightness in these prudential policies the greater the mark-up and consequently

the higher the market power of the FIs Therefore we find a perverse effect on industry

competition and probably a loss of borrowers welfare

Our results are in accordance with the evidence that the increase in prudential rigor has

negative impacts mainly on the supply of credit (Lim et al 2011 Claessens 2015 Aiyar

et al 2014 Gropp et al 2018 Cerutti et al 2017a) Ceteris paribus the increase of IF

mark-ups would be a fully expected effect As highlighted by Claessens amp Laeven (2004) any

policy that restricts the activity of banks and hinders their operation has negative impacts

on market competition

52 Estimation of Lerner indices

Regarding the mark-up estimation the values reported at the bottom of Table 2 corre-

spond to the distance between the observed revenue-cost ratio and its competitive boundary

that is the component u

To interpret the mark-up however we will focus the discussion on the estimates of

Lerner index (equation 21) because they have a more unambiguous economic meaning We

summarize the results of Lerner index for general estimates by type of control and for each

model in Table 3 and the Figure 3 shows their frequency distributions We should emphasize

that these estimates are individuals that is we obtain the estimates for each IF and at each

period t The tables in Annex (A6 to A11) summarizes the estimates of the Lerner index

and the returns to scale for each IF in the sample

Table 3 Estimates of Lerner index general and by type of control

21

Figure 3 Frequency distribution of Lerner indexes for each model and density estimation

Kernel by typeof control

For all six models all mark-up estimates were within the theoretical range of 0 and 1

with the minimum value being 0009 (model 2) and the maximum value 0362 (model 3) In

general the estimated average value was between 0051 (model 2) and 0058 (models 1 and

5) which means that on average Brazilian banks have a mark-up between 51 and 58

These values are slightly different when we separate the estimates by type of control

In the case of state-owned banks the average mark-up was between 0047 (model 2)

and 0057 (model 1) These values are lower in all the estimated models to the values

of (privates) national banks (0052-0057) and foreign banks (0050-0061) However the

medians of estimated values for state-owned banks were higher than the national and foreign

private banks in all models

For comparison purposes these values are considerably lower than the value (016) esti-

mated for Brazil in Coccorese (2014) We believe that this difference is due to the model and

sample used Coccorese (2014) has estimated the dual version of model (equation 5) and

as highlighted by Kumbhakar et al (2012) the use of accounting information to calculate

input prices can generate problems when they are endogenous

Regarding the sample Coccorese (2014) also used a different period from ours (1994 to

2012) and a more significant number of IFs in the sample (189 against 83 used by us) The

main difference here is in the number of IF - 106 in total In this respect it is essential to

note that these FIs constitute small FIs and in the second half of 2014 they held only 37

of total SFN assets and 24 of the total credit portfolio

We tried to replicated the Coccoresersquo sample but in preliminary tests we have found great

difficulties in the models estimations in particular at convergence of likelihood function

We observed these small IFs had in several situations extremely high values for the revenue-

cost ratio or excessively low for the inputs used (personnel expenses and funding) as well

as other problems such as launch errors (positive values in variables of expenditure for

example) and missings For these reasons and considering that such IFs represented only a

22

small fraction of Brazilian credit market we decided to exclude them from the sample

However It is worth highlight as they are small FIs the vast majority operate in particular

segments of the credit market and probably assume a more risk-taking behavior Considering

that they will work with a segment of credit claimants with rdquoworse scoresrdquo than borrowers

using large FIs we expect that the mark-up of these IFs will be higher We can observe

(part of) this phenomenon in Figure 4 where we represent the estimates of the Lerner index

(vertical axis) against market share of total assets (horizontal axis) of our sample and it is

quite evident the smaller banks have the higher mark-ups Therefore as our sample exclude

a large proportion of these small IFs it is natural that Coccorese (2014)rsquo results larger than

ours

Figure 4 Lerner indexes according to the size (market share) of banksrsquo assets

Regardless of this our results seem to adhere well to reality because if we look at Figure

5 we note that the Lerner indices show a significant increase from the second semester of

2008 These results are in agreement with the results of Cubillas amp Suarez (2018) Besides

in Figure 6 Lerner indexes are separated by type of control and we can observe that with

some exceptions the market power has always been lower for state-owned banks especially

considering the period after the GFC

Figure 5 Average Lerner indices for each model between 2000q2 and 2014q4

Figure 6 Average Lerner indices estimated for public private national and private

foreign banks between2000q2 and 2014q4

23

53 Estimation of Returns to Scale

Finally Table 4 and Figure 7 summarize the estimates of returns to scale We highlight

that the average of the returns to the scale of the Brazilian FIs is very close if we comparer

the six estimated models (between 0848 and 0851) Although the values are close to unity

in all IFs we reject the hypotheses of constant returns to the scale that is RTS = 1 therefore

IFs have diseconomies of scale

Table 4 Estimates of returns to scale by control type and general

When we separate estimates by type of control the estimates of state-owned banks

(0937-0944) are higher than national (0824-0829) and foreign banks (0841-0844) This

result means that the scale problem is a problem common to all FIs in Brazil Moreover

state-owned banks runs closer to the constant return region than national and foreign banks

Figure 7 Frequency distribution of the returns to scale indexes for each model and

density estimationKernel by type of control

6 Final Considerations

Considering that the banking industry underwent a significant restructuring in recent

years caused by several mergers and acquisitions in the sector as well as by a severe financial

crisis started in mid 2007 and potentialized in 2008 understand the behavior of market

power and as a (partial) set of prudential instruments influencing this dynamic has become

paramount Thus in an innovative way this paper proposed the use of stochastic frontier

analysis techniques to measure market power for the Brazilian banking industry and to test

if such prudential measures had an impact on the competitive dynamics of sector

The estimated average Lerner index was between 51 and 58 for Brazilian FIs How-

ever when controlled by the type of control we find that state-owned banks have slightly

24

lower estimates than national and foreign banks respectively Also estimates of returns to

scale allow us to infer that FIs operate with diseconomies of scale

Concerning the impact of prudential measures on the market power of FIs our results

generally suggest that tightening of prudential measures have a positive impact on bank

mark-up and consequently have detrimental effects on competition in industry banking

Finally in future research it will be possible to better understand the influence of some

prudential measures in the banking market through the study by type of segment or line of

credit

25

References

Aiyar S Calomiris C W amp Wieladek T (2014) Does macro-prudential regulation leak ev-

idence from a uk policy experiment Journal of Money Credit and Banking 46 181ndash214

URL httpsonlinelibrarywileycomdoiabs101111jmcb12086 doi101111jmcb12086

arXivhttpsonlinelibrarywileycomdoipdf101111jmcb12086

Altunbas Y Binici M amp Gambacorta L (2018) Macroprudential policy and bank risk Journal of

International Money and Finance 81 203ndash220 doihttpsdoiorg101016jjimonfin201711

012

Araujo L A D d amp Jorge Neto P d M (2007) Risco e competicao bancaria no Brasil Revista Brasileira

de Economia 61 175ndash200 URL httpwwwscielobrscielophpscript=sci_abstractamppid=

S0034-71402007000200003amplng=enampnrm=isoamptlng=pt doi101590S0034-71402007000200003

Auer R amp Ongena S (2019) The countercyclical capital buffer and the composition of bank lending

Available at SSRN 3345189

Ayyagari M Beck T amp Peria M (2018) The micro impact of macroprudential policies Firm-level

evidence IMF Working Paper

Barbosa K de Paula Rocha B amp Salazar F (2015) Assessing competition in the banking indus-

try A multi-product approach Journal of Banking amp Finance 50 340ndash362 URL httpwww

sciencedirectcomsciencearticlepiiS0378426614001642 doi101016jjbankfin201405

003

Belaisch A (2003) Do Brazilian Banks Compete SSRN Scholarly Paper ID 879189 Social Science Research

Network Rochester NY URL httpspapersssrncomabstract=879189

Bikker J A Shaffer S amp Spierdijk L K (2012) Assessing competition with the panzar-rosse model

The role of scale costs and equilibrium Economics Letters 94 1025ndash1044

Bresnahan T F (1982) The oligopoly solution concept is identified Economics Letters 10 87ndash92 URL

httpdxdoiorg1010160165-1765(82)90121-5 doi1010160165-1765(82)90121-5

Bresnahan T F amp Reiss P (1991) Entry and competition in concentrated markets Journal of Political

Economy 99 977ndash1009

Camors C amp Peydro J (2014) Macroprudential and monetary policy Loan-level evidence from reserve

requirement Mimeo Universitat Pompeu Fabra URL httpspdfssemanticscholarorgd508

61639bb4e7453a7a39184edf9b0c1e7016a6pdf

Cardoso M Azevedo P F amp Barbosa K (2016) Concorrencia no setor bancario brasileiro bancos

individuais versus conglomerados bancarios (pp 113ndash146) URL httprepositorioipeagovbr

handle110586650

Cerutti E Claessens S amp Laeven L (2017a) The use and effectiveness of macroprudential policies New

26

evidence Journal of Financial Stability 28 203ndash224 doihttpsdoiorg101016jjfs201510

004

Cerutti E Correa R Fiorentino E amp Segalla E (2016) Changes in prudential policy instruments ndash a

new cross-country database IMF Working Paper WP1610

Cerutti E Dagher J amp DellrsquoAriccia G (2017b) Housing finance and real-estate booms A cross-country

perspective Journal of Housing Economics 38 1ndash13

Claessens S (2015) An overview of macroprudential policy tools Annual Re-

view of Financial Economics 7 397ndash422 URL httpsdoiorg101146

annurev-financial-111914-041807 doi101146annurev-financial-111914-041807

arXivhttpsdoiorg101146annurev-financial-111914-041807

Claessens S Ghosh S R amp Mihet R (2013) Macro-prudential policies to mitigate financial system

vulnerabilities Journal of International Money and Finance 39 153ndash185 doihttpsdoiorg10

1016jjimonfin201306023

Claessens S amp Laeven L (2004) What drives bank competition some international evidence Journal

of Money Credit and Banking 36 563ndash583 URL httpwwwjstororgstable3838954

Coccorese P (2014) Estimating the Lerner index for the banking industry a stochastic frontier approach

Applied Financial Economics 24 73ndash88 URL httpdxdoiorg101080096031072013866202

doi101080096031072013866202

Coelho C A De Mello J M amp Rezende L (2013) Do Public Banks Compete with Private

Banks Evidence from Concentrated Local Markets in Brazil Journal of Money Credit and Bank-

ing 45 1581ndash1615 URL httponlinelibrarywileycomdoi101111jmcb12063abstract

doi101111jmcb12063

Cubillas E amp Suarez N (2018) Bank market power and lending during the global financial crisis Jour-

nal of International Money and Finance 89 1ndash22 URL httpwwwsciencedirectcomscience

articlepiiS0261560618303048 doihttpsdoiorg101016jjimonfin201808003

Das A amp Kumbhakar S C (2016) Markup and efficiency of Indian banks an input distance func-

tion approach Empirical Economics (pp 1ndash31) URL httplinkspringercomarticle101007

s00181-015-1062-4 doi101007s00181-015-1062-4

Ely R Tabak B amp Teixeira A (2019) Heterogeneous effects of the implementation of macroprudential

policies on bank risk MPRA Paper No94546

Freixas X Laeven L amp Peydro J-L (2015) Systemic Risk Crises and Macroprudential Regulation

Mit Press URL httpwwwjstororgstablejctt17kk82g

Galati G amp Moessner R (2013) Macroprudential policy ndash a literature review Jour-

nal of Economic Surveys 27 846ndash878 URL httpsonlinelibrarywileycom

27

doiabs101111j1467-6419201200729x doi101111j1467-6419201200729x

arXivhttpsonlinelibrarywileycomdoipdf101111j1467-6419201200729x

Gropp R Mosk T Ongena S amp Wix C (2018) Banks Response to Higher Cap-

ital Requirements Evidence from a Quasi-Natural Experiment The Review of Finan-

cial Studies 32 266ndash299 URL httpsdoiorg101093rfshhy052 doi101093rfshhy052

arXivhttpoupprodsislanrfsarticle-pdf32126627185080hhy052pdf

Hyde C E amp Perloff J M (1995) Can market power be estimated Review of Industrial Organization 10

465ndash485 URL httplinkspringercomarticle101007BF01024231 doi101007BF01024231

Igan D amp Kang H (2011) Do loan-to-value and debt-to-income limits work evidence from korea IMF

Working Papers (pp 1ndash34)

Jimenez G Ongena S Peydro J-L amp Saurina J (2017) Macroprudential policy countercyclical bank

capital buffers and credit supply Evidence from the spanish dynamic provisioning experiments Journal

of Political Economy 125 2126ndash2177 URL httpsdoiorg101086694289 doi101086694289

arXivhttpsdoiorg101086694289

Jondrow J Knox Lovell C A Materov I S amp Schmidt P (1982) On the estimation of technical

inefficiency in the stochastic frontier production function model Journal of Econometrics 19 233ndash

238 URL httpwwwsciencedirectcomsciencearticlepii0304407682900045 doi101016

0304-4076(82)90004-5

Klingelhoger J amp Sun R (2019) Macruprudential policy central banks and financial stability Evidence

from china Journal of International Money and Finance 93 19ndash41 URL httpsdoiorg101016

jjimonfin201812015

Kumbhakar S C (2012) Specification and estimation of primal production models European Journal

of Operational Research 217 509ndash518 URL httpwwwsciencedirectcomsciencearticlepii

S0377221711008939 doi101016jejor201109043

Kumbhakar S C Baardsen S amp Lien G (2012) A New Method for Estimating Market Power with

an Application to Norwegian Sawmilling Review of Industrial Organization 40 109ndash129 URL http

linkspringercomarticle101007s11151-012-9339-7 doi101007s11151-012-9339-7

Lerner A P (1934) The Concept of Monopoly and the Measurement of Monopoly Power The Review

of Economic Studies 1 157ndash175 URL httprestudoxfordjournalsorglookupdoi102307

2967480 doi1023072967480

Lim C H Costa A Columba F Kongsamut P Otani A Saiyid M Wezel T amp Wu X (2011)

Macroprudential policy what instruments and how to use them lessons from country experiences IMF

working papers (pp 1ndash85)

Lopez R A He X amp Azzam A (2018) Stochastic frontier estimation of market

28

power in the food industries Journal of Agricultural Economics 69 3ndash17 URL https

onlinelibrarywileycomdoiabs1011111477-955212219 doi1011111477-955212219

arXivhttpsonlinelibrarywileycomdoipdf1011111477-955212219

Lucinda C R (2010) Competition in the Brazilian loan market an empirical analysis Estudos Economicos

(Sao Paulo) 40 831ndash858 URL httpwwwscielobrscielophpscript=sci_abstractamppid=

S0101-41612010000400004amplng=enampnrm=isoamptlng=en doi101590S0101-41612010000400004

Moreno R (2011) Policymaking from arsquomacroprudentialrsquoperspective in emerging market economies

Nakane M I (2002) A test of competition in brazilian banking Estudos Economicos (Sao Paulo) 32

203ndash224 URL httpwwwrevistasuspbreearticleview117799

Panzar J C amp Rosse J N (1987) Testing for rdquomonopolyrdquo equilibrium The Journal of Industrial

Economics 35 443ndash456 URL httpwwwjstororgstable2098582 doi1023072098582

Richter B Schularick M amp Shim I (2019) The costs of macroprudential policy Journal of Inter-

national Economics 118 263 ndash 282 URL httpwwwsciencedirectcomsciencearticlepii

S0022199618302617 doihttpsdoiorg101016jjinteco201811011

Schmalensee R (1989) Chapter 16 inter-industry studies of structure and performance In Hand-

book of Industrial Organization (pp 951ndash1009) Elsevier BV URL httpdxdoiorg101016

s1573-448x(89)02004-2 doi101016s1573-448x(89)02004-2

Silva M S d () Avaliacao do processo de concentracao-competicao no setor bancario brasileiro URL

httpwwwbcbgovbrpecwpsporttd377pdf

Tabak B amp Gomes G (2015) The impact of market power at bank level in risk-taking The brazilian

case International Review of Financial Analysis 40 154ndash165

Tabak B M Fazio D M amp Cajueiro D O (2012) The relationship between banking market competition

and risk-taking Do size and capitalization matter 36 3366ndash3381 URL httpwwwsciencedirect

comsciencearticlepiiS0378426612002026 doi101016jjbankfin201207022

Wong T Fong T Li K-f amp Choi H (2011) Loan-to-value ratio as a macroprudential tool-hong kongrsquos

experience and cross-country evidence

Zhang L amp Zoli E (2016) Leaning against the wind Macroprudential policy in asia Journal of Asian

Economics 42 33ndash52

29

Figure 1 Evolution of the Herfindahl Index (HHI) over time using credit and total assets for theBrazilian banking system

30

Figure 2 Marginal effects of HHI and prudential instruments (Capital Buffer Capital RequirementLTV Reserve Requirement (Foreign) Reserve Requirement (domestic) and cumulative prud) on the

mark-up u component

31

Figure 3 Frequency distribution of Lerner indexes for each model and density estimation Kernel by typeof control

32

Figure 4 Lerner indexes according to the size (market share) of banksrsquo assets

33

Figure 5 Average Lerner indices for each model between 2000q2 and 2014q4

34

Figure 6 Average Lerner indices estimated for public private national and private foreign banks between2000q2 and 2014q4

35

Figure 7 Frequency distribution of the returns to scale indexes for each model and density estimationKernel by type of control

36

Table 1 Variables used to IDF estimatation

Variabel Description SourceBasic variables

TR Total Revenue = Gross Insterest Income (a) + Bank-ing Service Fee Income (d1) + Banking Fee Income(d2) + Other Operating Income (d7)

Inc statIFData

TC Total Cost = Interest Expenses (b) + Personnel Ex-penses (d3) + Administrative Expenses (d4) + TaxExpenses (d5) + Other Operating Expenses (d8)

Inc statIFData

Y Loan Lease and Other Credit Operations by RiskLevel

SummaryIFData

x1 Personnel Expenses (d3) Inc statIFDatax2 Funding (e) LiabilitiesIFDatax3 Equity (j) LiabilitiesIFData

Model variabelslnRC Log of Revenue-Cost ratiolnY Log of total loanlnx1 Log of personnel expenses and equity ratio (x1x3)lnx2 Log of funding and equity ratio (x2x3)T Time

Prudential variables - Deterministic mark-up parametersHHIt HHIt =

sumS2it where Sit

2 is market share of totalasset of bank i on time t

Inc statIFData

cb cumulative change of capital buffer Cerutti et al (2016)cr cumulative change of capital requirement Cerutti et al (2016)ltv cumulative change of loan-to-value Cerutti et al (2016)

rr foreign cumulative change of reserve requirement (foreigncurrency)

Cerutti et al (2016)

rr local cumulative change of reserve requirement (domesticcurrency)

Cerutti et al (2016)

37

Table 2 Results of IDF estimation

Parameters VariablesEstimates

Model Model Model Model Model Model(1) (2) (3) (4) (5) (6)

Parametros da funcao insumo distanciaαY Y lnY -0013 -0003 -0004 -0012 -0011 -0005

(000) (000) (000) (000) (000) (000)α1Y lnx1 -0096 -0095 -0094 -0094 -0096 -0090

(001) (001) (001) (001) (001) (001)α2Y lnx2 -0019 -0022 -0022 -0019 -0020 -0021

(001) (001) (001) (001) (001) (001)αY T T -0000 -0000 -0000 -0000 -0000 -0000

(000) (000) (000) (000) (000) (000)αY const 1153 1010 1035 1134 1129 1057

(005) (007) (005) (005) (005) (006)

Deterministic Mark-up parametersδ1 HHI 764157

(12270)δ1 Capital

Buffer7586(065)

δ2 CapitalReq

4696(160)

δ1 Loan-to-value38511(671)

δ1 ResR(foreign)10730(433)

δ2 ResR(local)2869(126)

δ1 Cum Prud3237(020)

δ0 const minus10601minus10194minus5306 minus9866 minus8577 minus4993(032) (2064) (316) (079) (119) (122)

Distribution of u and vσ2u 2840 1418 1620 2643 2441 1593σ2v 0118 0121 0120 0118 0118 0120λ 2402 1172 1354 2233 2065 1325Log Lik 887404 922033 918606 896019 891991 907817

EstimatesEstimates of Mark-up (u)Avg 0075 0065 0068 0074 0075 00691st quartile 0052 0038 0051 0051 0051 0044Median 0062 0048 0060 0060 0061 00543st quartile 0080 0074 0079 0079 0079 0075std-dev 0053 0054 0053 0053 0054 0054

Note p lt 010 p lt 005 and p lt 001

38

Table 3 Estimates of Lerner index general and by type of control

EstimatesModel Model Model Model Model Model

(1) (2) (3) (4) (5) (6)Mark-up (L) generalAverage 0058 0051 0053 0057 0058 0053std-dev 0032 0034 0034 0032 0032 00331st quartile 0043 0031 0034 0041 0042 0036Median 0051 0039 0044 0050 0050 00453st quartile 0063 0060 0059 0063 0063 0060Mark-up (L) State-owned banksAverage 0057 0047 0049 0056 0056 0050std-dev 0018 0017 0017 0018 0016 00161st quartile 0047 0035 0038 0045 0046 0040Median 0054 0041 0046 0053 0053 00463st quartile 0064 0056 0056 0064 0063 0057Mark-up (L) National banksAverage 0057 0052 0054 0057 0057 0054std-dev 0034 0038 0038 0035 0035 00371st quartile 0041 0030 0033 0040 0041 0035Median 0050 0038 0043 0048 0049 00443st quartile 0061 0061 0060 0061 0062 0060Mark-up (L) Foreign banksAverage 0061 0050 0053 0059 0060 0054std-dev 0034 0033 0032 0034 0034 00321st quartile 0042 0031 0034 0041 0042 0036Median 0052 0040 0044 0051 0051 00453st quartile 0068 0059 0060 0066 0066 0061

Table 4 Estimates of returns to scale by control type and general

ModelState-owned

banksNational

banksForeignbanks

General std-dev Min Max

1 0944 0824 0842 0848 0073 0665 11242 0940 0829 0843 0851 0066 0690 10733 0938 0827 0842 0849 0066 0689 10764 0941 0824 0842 0848 0071 0671 11115 0942 0824 0841 0848 0072 0669 11136 0937 0829 0844 0850 0065 0692 1073

39

Appendix A Attachment Tables

Table A5 Cumulative change on Prudential Measures intensity

TimeCapitalBuffer 2

(cb)

CapitalReq(cr)

Loan-to-Value(ltv)

Reserve Reqlocal curr

(RR local)

Reserve Reqforeign cur

(RR foreign)

CumulativePrudential 3

(Cum Prud)2000q2 -1 0 0 0 -2 -32000q4 -1 0 0 0 -2 -32001q2 -1 0 0 0 -2 -32001q4 0 0 0 0 -1 -12002q2 0 0 0 0 0 02002q4 2 0 0 0 2 42003q2 0 0 0 0 3 32003q4 0 0 0 0 2 22004q2 0 0 0 0 2 22004q4 0 0 0 0 2 22005q2 0 0 0 0 2 22005q4 0 0 0 0 2 22006q2 0 0 0 0 2 22006q4 0 0 0 0 2 22007q2 2 0 0 0 2 42007q4 2 0 0 0 2 42008q2 2 0 0 0 2 42008q4 2 0 0 0 1 32009q2 2 0 0 0 0 22009q4 2 0 0 0 -1 12010q2 2 0 0 0 1 32010q4 3 0 0 0 3 62011q2 3 0 0 1 3 72011q4 4 0 0 2 3 92012q2 3 1 0 2 3 92012q4 3 1 0 1 2 72013q2 3 2 0 0 2 72013q4 3 2 1 0 2 82014q2 3 2 1 0 2 82014q4 2 2 1 0 3 82Sum of capital buffer and others 3Aggregate measure (It is the sum of the change of all other instrument)

40

Table A6 Estimates of Lerner index and return to scale by bank - Model (1)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0042 0082 0009 0940 0007 -85Banrisul S 0055 0041 0084 0009 0952 0008 -635BEC S 0048 0021 0077 0016 0844 0009 -1756BRB S 0058 0033 0100 0015 0961 0003 -1533BB S 0058 0039 0098 0012 0990 0006 -173Caixa Economica Federal S 0063 0051 0174 0022 1052 0004 1458B da Amazonia SA S 0057 0016 0124 0023 0844 0008 -2028B do Estado Do Para SA S 0061 0026 0110 0022 0936 0004 -1764B do Est do Maranhao SA S 0055 0046 0065 0006 0935 0014 -455B do Est do Piauı SA - Bep S 0057 0030 0155 0029 0862 0004 -326B do Estado De Sergipe SA S 0061 0024 0135 0022 0947 0004 -1453Nossa Caixa - N Banco SA S 0057 0036 0090 0013 0981 0004 -444Bradesco N 0056 0038 0114 0015 0925 0004 -1945Itau N 0059 0031 0220 0033 0901 0003 -3797Safra N 0053 0037 0085 0009 0885 0003 -4215Unibanco N 0055 0037 0088 0014 0897 0001 -7054Mercantil Do Brasil N 0057 0027 0077 0011 0945 0002 -2527BBM N 0076 0016 0300 0065 0783 0005 -4464BMC N 0052 0030 0079 0012 0845 0003 -4703BMG N 0065 0017 0208 0045 0779 0003 -729JMalucelli N 0047 0022 0069 0013 0718 0003 -8765PEBB N 0065 0017 0181 0047 0698 0008 -3914SS N 0057 0034 0220 0037 0799 0007 -2839Sofisa N 0054 0021 0092 0020 0804 0002 -9903BIC N 0060 0034 0236 0040 0855 0005 -276Schahin N 0056 0028 0214 0035 0835 0006 -262Stock N 0081 0020 0267 0067 0817 0006 -3107Pine N 0052 0022 0108 0019 0808 0004 -545Socopa N 0056 0027 0120 0017 0886 0003 -3806Intercap N 0060 0023 0212 0037 0812 0007 -2851Indusval N 0062 0030 0246 0043 0857 0005 -3139Bonsucesso N 0052 0020 0092 0018 0779 0005 -4033Industrial do Brasil N 0051 0031 0081 0016 0807 0002 -952Votorantim N 0052 0037 0107 0017 0819 0009 -2117Cacique N 0053 0024 0071 0014 0774 0005 -4621Inter Amex N 0055 0037 0068 0010 0837 0008 -2158Alfa N 0048 0041 0059 0005 0806 0002 -11303Rendimento N 0053 0022 0080 0012 0872 0008 -1562Bancoob N 0052 0046 0056 0003 0856 0003 -5061Original N 0085 0017 0279 0090 0729 0007 -4163Banco Intermedium SA N 0052 0028 0070 0015 0743 0006 -3973

Table A6 ndash Continue on next page

41

Table A6 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0225 0049 0761 0003 -7509Banco BBN SA N 0053 0027 0077 0014 0817 0012 -1509B Cooperativo Sicredi SA N 0052 0043 0062 0005 0875 0005 -2477B Cooperativo do Brasil SA N 0056 0046 0142 0020 0910 0006 -1479Banco Topazio SA N 0060 0035 0110 0027 0834 0006 -2966Banco Gerador SA N 0069 0045 0122 0028 0852 0008 -1968Banco Randon SA N 0109 0023 0320 0109 0783 0005 -4158Parana Banco SA N 0050 0026 0108 0020 0784 0008 -2799Banco Triangulo SA N 0055 0028 0091 0020 0833 0004 -4201Banco Guanabara SA N 0052 0024 0169 0025 0777 0004 -5588Banco Cedula SA N 0068 0012 0339 0061 0731 0003 -10236Banco Cacique SA N 0077 0028 0248 0077 0785 0016 -1309B Luso Brasileiro SA N 0065 0027 0208 0043 0849 0004 -349Banco Pecunia SA N 0047 0039 0060 0006 0770 0003 -7086Banco Zogbi SA N 0051 0038 0067 0011 0778 0001 -15193Banco Daycoval SA N 0054 0023 0131 0026 0783 0004 -5522B John Deere SA N 0059 0018 0133 0033 0756 0003 -7955Banco AJ Renner SA N 0053 0025 0081 0015 0827 0006 -2742ABN Amro F 0056 0039 0079 0014 0914 0002 -427Chase F 0068 0014 0228 0049 0790 0008 -2678LLoyds F 0053 0027 0064 0012 0825 0003 -5159BankBoston F 0057 0040 0099 0020 0902 0006 -1638Santander Brasil F 0057 0034 0097 0017 0890 0008 -146Citibank F 0059 0026 0153 0028 0875 0003 -4039BNL F 0055 0041 0097 0019 0840 0006 -2767Sudameris F 0056 0048 0065 0005 0966 0012 -297Societe Generale F 0060 0024 0153 0031 0826 0006 -299Europeu F 0054 0032 0073 0013 0848 0007 -2287ABC-Brasil F 0052 0025 0082 0014 0815 0003 -6207Dresdner F 0083 0017 0280 0074 0815 0006 -3234AGF Braseg F 0051 0031 0100 0016 0794 0004 -4923HSBC F 0057 0046 0092 0010 0971 0006 -466Deutsche F 0068 0013 0160 0036 0857 0004 -3335BNP Paribas F 0050 0037 0068 0007 0824 0005 -3665Barclays F 0052 0024 0089 0021 0771 0008 -2787Rabobank Int Brasil SA F 0058 0022 0166 0028 0842 0003 -5284B Nat de Paris Br SA F 0063 0023 0109 0033 0811 0006 -3331Ibibank SA - Banco Multiplo F 0059 0012 0106 0024 0781 0015 -1441Dresdner Bank - B Multiplo F 0086 0016 0244 0068 0768 0008 -2746Banco Westlb Do Brasil SA F 0064 0034 0108 0027 0839 0010 -1626Banco GE Capital SA F 0067 0032 0247 0047 0852 0010 -1527B Com Uruguai SA F 0072 0020 0192 0049 0830 0003 -52281S - State-owned bank N - National bank and F - Foreign bank

42

Table A7 Estimates of Lerner index and return to scale by bank - Model (2)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0049 0032 0085 0016 0944 0008 -716Banrisul S 0049 0032 0106 0017 0939 0008 -75BEC S 0032 0016 0046 0008 0860 0009 -1489BRB S 0049 0030 0112 0017 0961 0002 -1681BB S 0049 0032 0091 0016 0948 0006 -845Caixa Economica Federal S 0052 0034 0081 0014 1012 0003 382B da Amazonia SA S 0053 0015 0140 0028 0847 0008 -1922B do Estado Do Para SA S 0046 0029 0063 0009 0952 0005 -963B do Est do Maranhao SA S 0036 0029 0045 0005 0963 0016 -235B do Est do Piauı SA - Bep S 0036 0023 0071 0011 0888 0005 -2314B do Estado De Sergipe SA S 0050 0020 0155 0024 0962 0004 -1043Nossa Caixa - N Banco SA S 0039 0027 0074 0011 0972 0005 -601Bradesco N 0050 0028 0116 0023 0890 0004 -2618Itau N 0052 0024 0222 0037 0869 0003 -4269Safra N 0046 0028 0100 0017 0867 0003 -5042Unibanco N 0035 0028 0054 0007 0873 0001 -8511Mercantil Do Brasil N 0051 0029 0093 0019 0941 0002 -2837BBM N 0063 0012 0213 0048 0790 0005 -4494BMC N 0034 0023 0049 0007 0851 0003 -4266BMG N 0065 0015 0233 0057 0776 0004 -6135JMalucelli N 0052 0018 0080 0016 0720 0003 -9566PEBB N 0037 0014 0108 0025 0732 0009 -3086SS N 0056 0024 0236 0046 0797 0007 -2849Sofisa N 0052 0018 0107 0028 0808 0002 -8115BIC N 0057 0026 0259 0050 0850 0006 -2531Schahin N 0047 0022 0225 0041 0845 0007 -2359Stock N 0078 0017 0287 0071 0843 0006 -2782Pine N 0048 0018 0114 0023 0811 0004 -4973Socopa N 0050 0022 0136 0024 0908 0003 -3089Intercap N 0051 0019 0133 0031 0832 0006 -2759Indusval N 0061 0023 0267 0052 0866 0006 -2437Bonsucesso N 0050 0017 0109 0026 0791 0006 -3655Industrial do Brasil N 0044 0024 0079 0015 0816 0002 -8095Votorantim N 0048 0025 0120 0026 0807 0007 -2721Cacique N 0033 0020 0039 0006 0782 0005 -4597Inter Amex N 0035 0025 0045 0007 0844 0006 -2419Alfa N 0042 0029 0069 0013 0801 0002 -12139Rendimento N 0049 0019 0077 0015 0889 0008 -1394Bancoob N 0065 0057 0073 0006 0855 0003 -4199Original N 0099 0019 0299 0096 0732 0006 -4473Banco Intermedium SA N 0062 0032 0081 0019 0754 0006 -4393

Table A7 ndash Continue on next page

43

Table A7 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0059 0016 0239 0051 0778 0003 -6944Banco BBN SA N 0035 0020 0053 0009 0834 0011 -1466B Cooperativo Sicredi SA N 0045 0032 0070 0011 0881 0005 -2581B Cooperativo do Brasil SA N 0045 0029 0147 0025 0922 0006 -1274Banco Topazio SA N 0076 0043 0138 0038 0861 0005 -2569Banco Gerador SA N 0089 0054 0153 0037 0874 0008 -1645Banco Randon SA N 0122 0029 0335 0113 0803 0005 -388Parana Banco SA N 0033 0020 0062 0011 0800 0009 -234Banco Triangulo SA N 0052 0022 0105 0027 0841 0004 -4148Banco Guanabara SA N 0046 0019 0091 0020 0793 0004 -5561Banco Cedula SA N 0062 0011 0359 0067 0749 0003 -9911Banco Cacique SA N 0049 0020 0157 0048 0791 0016 -1315Banco Luso Brasileiro SA N 0066 0022 0241 0055 0870 0005 -2851Banco Pecunia SA N 0032 0027 0036 0003 0787 0003 -6876Banco Zogbi SA N 0032 0026 0037 0005 0784 0002 -13006Banco Daycoval SA N 0053 0019 0139 0036 0784 0004 -6065Banco John Deere SA N 0035 0016 0073 0016 0761 0003 -8278Banco AJ Renner SA N 0047 0021 0083 0015 0844 0006 -2553ABN Amro F 0035 0027 0047 0006 0889 0002 -7231Chase F 0054 0013 0157 0033 0804 0007 -2702LLoyds F 0033 0020 0043 0008 0821 0003 -5429BankBoston F 0036 0026 0060 0011 0888 0006 -1917Santander Brasil F 0055 0025 0115 0030 0864 0008 -1647Citibank F 0051 0020 0132 0025 0860 0003 -4735BNL F 0036 0026 0062 0012 0843 0005 -2959Sudameris F 0036 0031 0040 0004 0949 0011 -468Societe Generale F 0051 0018 0104 0024 0835 0007 -2454Europeu F 0034 0025 0041 0006 0859 0007 -2076ABC-Brasil F 0043 0026 0086 0015 0813 0003 -5797Dresdner F 0050 0014 0190 0046 0824 0004 -3975AGF Braseg F 0044 0024 0068 0014 0810 0005 -4109HSBC F 0052 0031 0110 0021 0948 0007 -776Deutsche F 0054 0012 0166 0030 0866 0005 -2754BNP Paribas F 0049 0028 0073 0013 0818 0004 -4092Barclays F 0065 0028 0121 0027 0811 0005 -4028Rabobank Int Brasil SA F 0047 0017 0102 0017 0845 0003 -4605B Nat de Paris Brasil SA F 0036 0017 0054 0013 0819 0005 -3304Ibibank SA - Banco Multiplo F 0043 0010 0114 0025 0782 0013 -1623Dresdner Bank - B Multiplo F 0096 0015 0270 0076 0785 0007 -2924Banco Westlb Do Brasil SA F 0041 0026 0062 0013 0853 0010 -154Banco GE Capital SA F 0054 0026 0253 0049 0862 0010 -1444B Com Uruguai SA F 0070 0017 0220 0058 0849 0003 -4471S - State-owned bank N - National bank and F - Foreign bank

44

Table A8 Estimates of Lerner index and return to scale by bank - Model (3)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0034 0090 0016 0941 0008 -772Banrisul S 0051 0032 0108 0016 0938 0008 -772BEC S 0035 0018 0051 0009 0856 0009 -1562BRB S 0052 0032 0122 0018 0958 0002 -1793BB S 0052 0035 0085 0015 0951 0006 -809Caixa Economica Federal S 0054 0039 0098 0014 1015 0003 465B da Amazonia SA S 0053 0014 0113 0024 0845 0008 -1977B do Estado Do Para SA S 0049 0028 0071 0010 0947 0005 -1117B do E do Maranhao SA S 0041 0032 0059 0008 0957 0015 -285B do E do Piauı SA - Bep S 0041 0028 0086 0014 0882 0005 -2518B do Estado De Sergipe SA S 0052 0021 0145 0022 0957 0004 -1182Nossa Caixa - N Banco SA S 0045 0029 0081 0015 0971 0005 -651Bradesco N 0052 0029 0101 0021 0893 0004 -2614Itau N 0054 0025 0203 0034 0872 0003 -4328Safra N 0048 0029 0093 0015 0869 0003 -5008Unibanco N 0041 0028 0067 0010 0874 0001 -8514Mercantil Do Brasil N 0053 0026 0095 0018 0939 0002 -29BBM N 0067 0013 0250 0056 0789 0005 -4501BMC N 0038 0024 0069 0010 0849 0003 -4408BMG N 0067 0015 0233 0058 0776 0004 -6374JMalucelli N 0052 0022 0087 0016 0720 0003 -9426PEBB N 0045 0014 0158 0040 0727 0009 -3192SS N 0057 0025 0231 0046 0797 0007 -287Sofisa N 0053 0018 0116 0026 0807 0002 -8444BIC N 0059 0030 0250 0049 0850 0006 -2596Schahin N 0048 0023 0220 0038 0842 0007 -2424Stock N 0083 0017 0304 0077 0838 0006 -2873Pine N 0049 0019 0105 0020 0810 0004 -5103Socopa N 0050 0026 0111 0018 0903 0003 -3253Intercap N 0055 0020 0196 0036 0828 0006 -283Indusval N 0062 0029 0282 0052 0863 0005 -2588Bonsucesso N 0051 0017 0118 0025 0789 0006 -3771Industrial do Brasil N 0046 0025 0086 0015 0815 0002 -8341Votorantim N 0050 0027 0128 0027 0809 0007 -2664Cacique N 0037 0020 0048 0009 0781 0005 -4645Inter Amex N 0039 0026 0058 0009 0842 0006 -2468Alfa N 0044 0031 0072 0011 0801 0002 -11998Rendimento N 0049 0022 0078 0011 0885 0008 -1463Bancoob N 0066 0057 0077 0007 0854 0003 -4342Original N 0102 0019 0301 0096 0730 0006 -4526Banco Intermedium SA N 0059 0027 0083 0020 0752 0006 -4354

Table A8 ndash Continue on next page

45

Table A8 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0017 0217 0054 0776 0003 -7084Banco BBN SA N 0038 0022 0058 0010 0831 0011 -1492B Cooperativo Sicredi SA N 0047 0035 0071 0010 0879 0005 -259B Cooperativo do Brasil SA N 0046 0035 0128 0020 0919 0006 -1339Banco Topazio SA N 0075 0036 0153 0041 0855 0005 -2657Banco Gerador SA N 0091 0057 0144 0034 0869 0008 -173Banco Randon SA N 0124 0029 0332 0112 0799 0005 -4023Parana Banco SA N 0036 0021 0071 0012 0797 0008 -2452Banco Triangulo SA N 0053 0023 0115 0027 0839 0004 -4256Banco Guanabara SA N 0047 0020 0100 0019 0790 0004 -561Banco Cedula SA N 0066 0012 0362 0068 0747 0003 -10082Banco Cacique SA N 0063 0026 0231 0074 0789 0016 -1336Banco Luso Brasileiro SA N 0066 0026 0249 0053 0865 0005 -2985Banco Pecunia SA N 0034 0029 0041 0004 0784 0003 -7038Banco Zogbi SA N 0036 0027 0046 0006 0782 0002 -13399Banco Daycoval SA N 0054 0019 0131 0034 0784 0004 -607Banco John Deere SA N 0039 0015 0083 0018 0761 0003 -8316Banco AJ Renner SA N 0049 0024 0073 0013 0840 0006 -2621ABN Amro F 0041 0030 0066 0009 0890 0002 -6866Chase F 0059 0013 0173 0039 0801 0007 -2733LLoyds F 0038 0021 0055 0010 0821 0003 -5484BankBoston F 0040 0028 0063 0012 0888 0006 -1931Santander Brasil F 0056 0028 0107 0027 0866 0008 -1663Citibank F 0052 0022 0123 0023 0860 0003 -4735BNL F 0039 0028 0063 0014 0841 0005 -2966Sudameris F 0041 0036 0052 0006 0948 0011 -473Societe Generale F 0052 0020 0103 0022 0833 0006 -2579Europeu F 0038 0030 0049 0007 0856 0007 -2153ABC-Brasil F 0046 0029 0079 0014 0813 0003 -5935Dresdner F 0055 0014 0212 0052 0822 0005 -3913AGF Braseg F 0046 0027 0071 0014 0806 0005 -4276HSBC F 0053 0032 0101 0019 0949 0007 -784Deutsche F 0058 0013 0141 0029 0863 0005 -2878BNP Paribas F 0051 0030 0074 0012 0818 0004 -4118Barclays F 0066 0025 0130 0030 0805 0005 -4123Rabobank Int Brasil SA F 0049 0019 0109 0018 0844 0003 -4752B Nat de Paris Brasil SA F 0041 0019 0069 0018 0817 0005 -3368Ibibank SA - Banco Multiplo F 0046 0010 0095 0021 0781 0014 -1617Dresdner Bank - B Multiplo F 0093 0017 0282 0072 0782 0008 -2899Banco Westlb Do Brasil SA F 0044 0027 0069 0015 0850 0009 -1591Banco GE Capital SA F 0055 0026 0249 0046 0859 0009 -1489B Com Uruguai SA F 0071 0017 0228 0056 0845 0003 -46241S - State-owned bank N - National bank and F - Foreign bank

46

Table A9 Estimates of Lerner index and return to scale by bank - Model (4)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0054 0041 0078 0011 0939 0007 -873Banrisul S 0055 0040 0106 0014 0948 0008 -692BEC S 0046 0020 0072 0014 0846 0009 -1746BRB S 0057 0032 0094 0016 0959 0002 -1673BB S 0057 0038 0095 0014 0981 0006 -33Caixa Economica Federal S 0061 0049 0165 0021 1042 0003 1249B da Amazonia SA S 0056 0015 0117 0022 0844 0008 -2047B do Estado Do Para SA S 0059 0025 0103 0020 0936 0004 -1701B do E Do Maranhao SA S 0052 0044 0062 0005 0936 0014 -448B do E Do Piauı SA - Bep S 0054 0029 0147 0028 0865 0004 -3201B do Estado De Sergipe SA S 0061 0023 0168 0026 0947 0004 -1484Nossa Caixa - N Banco SA S 0054 0035 0085 0012 0977 0004 -547Bradesco N 0056 0036 0107 0017 0919 0004 -2123Itau N 0058 0030 0212 0032 0896 0003 -3979Safra N 0052 0035 0107 0013 0882 0003 -445Unibanco N 0052 0035 0082 0013 0892 0001 -7446Mercantil Do Brasil N 0057 0027 0093 0015 0942 0002 -2687BBM N 0075 0015 0294 0064 0784 0005 -4512BMC N 0050 0029 0074 0011 0846 0003 -472BMG N 0065 0016 0202 0047 0779 0003 -7192JMalucelli N 0048 0022 0071 0014 0720 0003 -8923PEBB N 0061 0016 0172 0044 0704 0008 -382SS N 0056 0033 0213 0037 0799 0007 -2875Sofisa N 0053 0020 0087 0019 0805 0002 -9731BIC N 0061 0033 0269 0048 0854 0005 -2768Schahin N 0053 0027 0205 0034 0836 0006 -2627Stock N 0081 0020 0265 0068 0820 0006 -3122Pine N 0052 0022 0118 0021 0808 0004 -5467Socopa N 0054 0026 0114 0016 0888 0003 -3785Intercap N 0057 0023 0203 0035 0815 0006 -2877Indusval N 0062 0029 0239 0043 0857 0005 -3085Bonsucesso N 0052 0019 0088 0018 0782 0005 -403Industrial do Brasil N 0050 0030 0076 0015 0809 0002 -9427Votorantim N 0051 0036 0102 0017 0817 0008 -2222Cacique N 0050 0023 0067 0013 0776 0005 -4659Inter Amex N 0052 0035 0064 0009 0837 0007 -2226Alfa N 0048 0039 0071 0007 0805 0002 -11484Rendimento N 0052 0022 0076 0013 0874 0008 -1571Bancoob N 0057 0045 0071 0011 0855 0003 -5022Original N 0094 0017 0278 0090 0730 0006 -4242Banco Intermedium SA N 0049 0027 0065 0014 0746 0006 -4054

Table A9 ndash Continue on next page

47

Table A9 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0019 0220 0050 0764 0003 -7516Banco BBN SA N 0050 0027 0072 0013 0819 0012 -1529B Cooperativo Sicredi SA N 0051 0041 0068 0006 0875 0005 -2551B Cooperativo do Brasil SA N 0053 0044 0134 0018 0910 0006 -151Banco Topazio SA N 0066 0035 0128 0036 0837 0005 -2981Banco Gerador SA N 0082 0045 0157 0043 0854 0007 -1967Banco Randon SA N 0106 0026 0312 0105 0786 0005 -4204Parana Banco SA N 0048 0025 0102 0018 0787 0008 -2768Banco Triangulo SA N 0054 0027 0088 0021 0834 0004 -427Banco Guanabara SA N 0051 0023 0161 0025 0780 0004 -5659Banco Cedula SA N 0069 0012 0360 0065 0735 0003 -1028Banco Cacique SA N 0073 0027 0240 0075 0786 0016 -1327Banco Luso Brasileiro SA N 0065 0026 0242 0047 0852 0004 -346Banco Pecunia SA N 0045 0037 0056 0006 0773 0003 -7139Banco Zogbi SA N 0048 0036 0064 0010 0779 0001 -15057Banco Daycoval SA N 0055 0022 0126 0030 0784 0004 -568Banco John Deere SA N 0056 0018 0125 0031 0757 0003 -8084Banco AJ Renner SA N 0051 0025 0077 0013 0829 0006 -2763ABN Amro F 0053 0038 0074 0013 0909 0002 -4803Chase F 0066 0014 0220 0046 0793 0008 -2711LLoyds F 0050 0026 0060 0011 0825 0003 -5323BankBoston F 0054 0038 0092 0018 0899 0006 -1734Santander Brasil F 0056 0033 0098 0019 0885 0007 -1529Citibank F 0059 0025 0145 0030 0872 0003 -421BNL F 0052 0039 0091 0018 0840 0006 -2854Sudameris F 0053 0046 0062 0005 0961 0011 -352Societe Generale F 0058 0023 0144 0028 0827 0006 -2968Europeu F 0052 0031 0069 0012 0849 0007 -23ABC-Brasil F 0051 0028 0091 0015 0815 0003 -6225Dresdner F 0078 0017 0271 0071 0816 0005 -339AGF Braseg F 0050 0030 0094 0015 0797 0004 -4873HSBC F 0057 0045 0116 0016 0966 0006 -562Deutsche F 0066 0013 0151 0034 0858 0004 -3316BNP Paribas F 0050 0036 0071 0010 0823 0005 -3772Barclays F 0057 0024 0102 0025 0777 0007 -3003Rabobank Int Brasil SA F 0057 0021 0157 0026 0842 0003 -5266B Nat de Paris Brasil SA F 0059 0023 0102 0030 0812 0006 -3387Ibibank SA - Banco Multiplo F 0056 0012 0100 0023 0781 0015 -148Dresdner Bank - B Multiplo F 0084 0016 0237 0064 0771 0008 -2798Banco Westlb Do Brasil SA F 0061 0033 0101 0025 0841 0010 -1646Banco GE Capital SA F 0063 0031 0238 0044 0853 0010 -1548B Com Uruguai SA F 0074 0020 0226 0056 0833 0003 -51921S - State-owned bank N - National bank and F - Foreign bank

48

Table A10 Estimates of Lerner index and return to scale by bank - Model (5)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0043 0093 0012 0940 0007 -834Banrisul S 0054 0041 0083 0009 0949 0008 -668BEC S 0046 0020 0075 0014 0846 0009 -1719BRB S 0058 0032 0121 0017 0960 0002 -1607BB S 0056 0037 0087 0010 0981 0006 -321Caixa Economica Federal S 0061 0050 0156 0019 1044 0003 1282B da Amazonia SA S 0057 0016 0115 0023 0843 0008 -2023B do Estado Do Para SA S 0059 0027 0102 0020 0938 0004 -1608B do E Do Maranhao SA S 0052 0042 0064 0006 0939 0015 -418B do E Do Piauı SA - Bep S 0054 0029 0138 0025 0866 0004 -3097B do Estado De Sergipe SA S 0059 0024 0136 0020 0949 0004 -1404Nossa Caixa - N Banco SA S 0055 0036 0088 0013 0979 0004 -494Bradesco N 0056 0037 0108 0016 0918 0004 -2108Itau N 0058 0031 0213 0033 0894 0003 -3968Safra N 0052 0036 0086 0010 0881 0003 -4388Unibanco N 0053 0037 0085 0013 0892 0001 -7433Mercantil Do Brasil N 0057 0027 0086 0012 0943 0002 -2619BBM N 0075 0015 0292 0063 0784 0005 -447BMC N 0050 0029 0077 0012 0846 0003 -4648BMG N 0067 0017 0220 0051 0777 0003 -7116JMalucelli N 0049 0022 0083 0016 0718 0003 -8879PEBB N 0060 0017 0176 0044 0704 0008 -3743SS N 0059 0032 0223 0041 0798 0007 -2847Sofisa N 0055 0021 0112 0022 0804 0002 -9624BIC N 0060 0032 0238 0041 0853 0005 -2725Schahin N 0055 0028 0228 0038 0836 0006 -2575Stock N 0082 0019 0267 0068 0821 0006 -3063Pine N 0052 0022 0096 0018 0808 0004 -5392Socopa N 0055 0027 0113 0016 0889 0003 -3694Intercap N 0060 0023 0210 0037 0814 0006 -2856Indusval N 0062 0029 0245 0044 0857 0005 -3023Bonsucesso N 0053 0020 0113 0022 0781 0005 -3999Industrial do Brasil N 0051 0030 0084 0016 0808 0002 -9274Votorantim N 0052 0037 0130 0022 0816 0008 -2227Cacique N 0049 0024 0065 0012 0775 0005 -4632Inter Amex N 0052 0034 0067 0011 0837 0007 -2236Alfa N 0047 0041 0056 0004 0804 0002 -11448Rendimento N 0053 0022 0079 0011 0874 0008 -1549Bancoob N 0056 0050 0064 0005 0856 0003 -4874Original N 0087 0018 0288 0093 0728 0006 -4259Banco Intermedium SA N 0055 0027 0078 0019 0744 0006 -4047

Table A10 ndash Continue on next page

49

Table A10 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0217 0048 0763 0003 -7417Banco BBN SA N 0051 0026 0075 0014 0820 0012 -1504B Cooperativo Sicredi SA N 0051 0040 0061 0005 0876 0005 -2499B Cooperativo do Brasil SA N 0054 0043 0136 0019 0912 0006 -1445Banco Topazio SA N 0061 0034 0109 0026 0838 0006 -2897Banco Gerador SA N 0073 0052 0124 0026 0855 0008 -1918Banco Randon SA N 0120 0024 0327 0114 0785 0005 -4153Parana Banco SA N 0048 0026 0106 0020 0786 0008 -2732Banco Triangulo SA N 0055 0027 0111 0022 0834 0004 -4227Banco Guanabara SA N 0052 0024 0153 0024 0779 0004 -5589Banco Cedula SA N 0069 0012 0339 0062 0734 0003 -10232Banco Cacique SA N 0076 0027 0246 0076 0785 0016 -1317Banco Luso Brasileiro SA N 0067 0027 0207 0047 0852 0004 -3379Banco Pecunia SA N 0046 0038 0054 0006 0773 0003 -71Banco Zogbi SA N 0047 0037 0061 0010 0778 0001 -14931Banco Daycoval SA N 0054 0022 0126 0026 0782 0004 -5661Banco John Deere SA N 0056 0018 0129 0031 0756 0003 -8043Banco AJ Renner SA N 0053 0025 0080 0015 0829 0006 -2716ABN Amro F 0053 0038 0074 0012 0908 0002 -4751Chase F 0067 0014 0225 0047 0792 0008 -2693LLoyds F 0049 0025 0064 0012 0824 0003 -5227BankBoston F 0054 0037 0096 0020 0899 0006 -1701Santander Brasil F 0057 0033 0103 0019 0884 0008 -1511Citibank F 0059 0026 0154 0028 0871 0003 -4204BNL F 0052 0037 0097 0020 0840 0006 -28Sudameris F 0052 0045 0058 0005 0962 0011 -334Societe Generale F 0060 0023 0151 0031 0827 0006 -2924Europeu F 0050 0032 0066 0012 0849 0007 -2263ABC-Brasil F 0051 0025 0079 0014 0814 0003 -617Dresdner F 0080 0017 0276 0073 0816 0005 -3374AGF Braseg F 0050 0031 0093 0015 0796 0004 -4812HSBC F 0057 0043 0093 0011 0966 0006 -541Deutsche F 0066 0013 0155 0035 0858 0004 -3244BNP Paribas F 0050 0035 0067 0008 0822 0005 -3775Barclays F 0056 0024 0113 0025 0778 0007 -305Rabobank Int Brasil SA F 0057 0021 0163 0027 0842 0003 -5208B Nat de Paris Brasil SA F 0058 0022 0100 0029 0812 0006 -3343Ibibank SA - Banco Multiplo F 0057 0012 0099 0023 0780 0015 -1478Dresdner Bank - B Multiplo F 0087 0016 0244 0068 0770 0008 -2768Banco Westlb Do Brasil SA F 0063 0034 0106 0026 0841 0010 -1625Banco GE Capital SA F 0064 0032 0247 0046 0853 0010 -1522B Com Uruguai SA F 0073 0019 0191 0049 0833 0003 -50981S - State-owned bank N - National bank and F - Foreign bank

50

Table A11 Estimates of Lerner index and return to scale by bank - Model (6)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0036 0096 0015 0939 0007 -855Banrisul S 0050 0035 0098 0014 0938 0008 -82BEC S 0041 0019 0067 0012 0855 0009 -1644BRB S 0053 0029 0124 0018 0956 0002 -1996BB S 0051 0032 0088 0013 0954 0006 -807Caixa Economica Federal S 0054 0040 0094 0012 1014 0003 475B da Amazonia SA S 0053 0015 0103 0022 0846 0008 -205B do Estado Do Para SA S 0051 0028 0074 0013 0943 0004 -1319B do E Do Maranhao SA S 0041 0031 0059 0008 0950 0014 -346B do E Do Piauı SA - Bep S 0042 0028 0084 0012 0879 0004 -2727B do Estado De Sergipe SA S 0052 0022 0153 0022 0953 0003 -1377Nossa Caixa - N Banco SA S 0047 0032 0081 0014 0969 0004 -74Bradesco N 0052 0032 0097 0019 0898 0004 -2645Itau N 0054 0027 0190 0031 0877 0003 -4452Safra N 0049 0032 0100 0015 0872 0003 -5056Unibanco N 0043 0032 0067 0010 0878 0001 -8666Mercantil Do Brasil N 0053 0026 0087 0017 0938 0002 -3104BBM N 0066 0013 0251 0056 0792 0005 -4556BMC N 0041 0026 0069 0011 0850 0003 -4582BMG N 0067 0016 0228 0057 0781 0003 -6611JMalucelli N 0051 0022 0089 0017 0725 0003 -9344PEBB N 0046 0015 0157 0039 0728 0008 -3313SS N 0058 0025 0230 0046 0801 0007 -292Sofisa N 0053 0020 0119 0025 0809 0002 -8846BIC N 0060 0029 0262 0049 0852 0005 -2697Schahin N 0049 0025 0229 0040 0843 0006 -2523Stock N 0081 0017 0284 0072 0836 0005 -2986Pine N 0049 0021 0112 0019 0812 0004 -5267Socopa N 0050 0026 0095 0015 0900 0003 -3515Intercap N 0055 0021 0196 0035 0828 0006 -2899Indusval N 0061 0029 0262 0049 0863 0005 -2762Bonsucesso N 0052 0019 0123 0026 0791 0005 -3885Industrial do Brasil N 0046 0027 0088 0015 0816 0002 -8698Votorantim N 0051 0027 0139 0027 0813 0007 -262Cacique N 0039 0022 0050 0009 0784 0005 -4707Inter Amex N 0045 0027 0064 0012 0843 0006 -2493Alfa N 0044 0033 0068 0009 0805 0002 -12111Rendimento N 0050 0022 0073 0010 0883 0008 -1543Bancoob N 0066 0055 0072 0007 0856 0003 -4559Original N 0098 0020 0294 0094 0735 0006 -4509Banco Intermedium SA N 0057 0024 0085 0022 0756 0006 -4324

Table A11 ndash Continue on next page

51

Table A11 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0061 0017 0195 0048 0777 0003 -7233Banco BBN SA N 0042 0023 0059 0012 0831 0011 -1529B Cooperativo Sicredi SA N 0048 0035 0066 0009 0879 0005 -2672B Cooperativo do Brasil SA N 0046 0034 0119 0017 0917 0006 -1439Banco Topazio SA N 0070 0031 0129 0036 0853 0005 -2776Banco Gerador SA N 0086 0057 0148 0034 0867 0007 -1825Banco Randon SA N 0126 0028 0331 0114 0799 0005 -4136Parana Banco SA N 0039 0023 0082 0015 0798 0008 -2556Banco Triangulo SA N 0052 0025 0116 0025 0840 0004 -4363Banco Guanabara SA N 0048 0021 0100 0019 0792 0004 -5683Banco Cedula SA N 0067 0013 0356 0067 0749 0002 -10205Banco Cacique SA N 0067 0026 0232 0073 0792 0015 -1356Banco Luso Brasileiro SA N 0065 0025 0237 0052 0864 0004 -3163Banco Pecunia SA N 0037 0029 0045 0006 0786 0003 -7158Banco Zogbi SA N 0037 0027 0045 0007 0785 0002 -13921Banco Daycoval SA N 0053 0020 0120 0031 0787 0003 -6088Banco John Deere SA N 0043 0017 0099 0022 0764 0003 -8346Banco AJ Renner SA N 0050 0025 0080 0013 0840 0006 -2706ABN Amro F 0043 0035 0067 0008 0894 0002 -6685Chase F 0059 0014 0189 0040 0803 0007 -2772LLoyds F 0039 0021 0055 0012 0824 0003 -5536BankBoston F 0044 0029 0075 0015 0890 0006 -1965Santander Brasil F 0054 0028 0107 0024 0871 0008 -1694Citibank F 0054 0023 0133 0026 0863 0003 -4787BNL F 0042 0028 0078 0018 0843 0005 -2998Sudameris F 0041 0036 0052 0006 0948 0010 -491Societe Generale F 0054 0020 0118 0025 0834 0006 -2716Europeu F 0038 0029 0049 0008 0856 0006 -2239ABC-Brasil F 0046 0028 0084 0014 0816 0003 -6111Dresdner F 0063 0015 0239 0061 0823 0005 -3888AGF Braseg F 0047 0027 0074 0014 0807 0004 -4477HSBC F 0054 0032 0109 0018 0950 0006 -823Deutsche F 0058 0013 0122 0028 0863 0004 -305BNP Paribas F 0051 0032 0070 0011 0822 0004 -4145Barclays F 0064 0024 0128 0029 0802 0005 -4051Rabobank Int Brasil SA F 0051 0019 0130 0021 0846 0003 -4992B Nat de Paris Brasil SA F 0043 0019 0070 0019 0819 0005 -3429Ibibank SA - Banco Multiplo F 0049 0010 0083 0020 0785 0013 -161Dresdner Bank - B Multiplo F 0087 0016 0261 0066 0783 0007 -2901Banco Westlb Do Brasil SA F 0051 0030 0082 0019 0850 0009 -1643Banco GE Capital SA F 0053 0028 0239 0044 0859 0009 -1544B Com Uruguai SA F 0071 0017 0217 0054 0845 0003 -48451S - State-owned bank N - National bank and F - Foreign bank

52

Seacuterie de Textos para Discussatildeo do Curso de Ciecircncias Econocircmicas ndash FACEUFG ndash TD [078]

EDITORIAL FACE ndash Faculdade de Administraccedilatildeo Ciecircncias Contaacutebeis e Ciecircncias Econocircmicas Curso de Ciecircncias Econocircmicas Direccedilatildeo FACE Prof Moiseacutes Ferreira da Cunha Vice-Direccedilatildeo FACE Profordf Andreacutea Freire de Lucena Coordenaccedilatildeo do Curso de Ciecircncias Econocircmicas Prof Tiago Camarinha Lopes NEPEC ndash Nuacutecleo de Estudos e Pesquisas Econocircmicas Coordenaccedilatildeo Prof Seacutergio Fornazier Meyrelles Filho SEacuteRIE DE TEXTOS PARA DISCUSSAtildeO DO CURSO DE CIEcircNCIAS ECONOcircMICAS DA UFG Coordenaccedilatildeo e Equipe de Editoraccedilatildeo Prof Sandro Eduardo Monsueto Adriana Moura Guimaratildees Matheus Henrique de Arauacutejo Dutra

Endereccedilo Campus Samambaia Preacutedio da FACE ndash Rodovia GoiacircniaNova Veneza km 0 ndash CEP 74690-900 Goiacircnia ndash GO Tel (62) 3521 ndash 1390 URL httpwwwfaceufgbreconomia Publicaccedilatildeo cujo objetivo eacute divulgar resultados de estudos que contam com a participaccedilatildeo de pesquisadores do NEPEC As opiniotildees contidas nesta publicaccedilatildeo satildeo de inteira responsabilidade do(s) autor(es) natildeo representando necessariamente o ponto de vista do NEPEC ou da FACEUFG Eacute permitida a reproduccedilatildeo desde que citada a fonte

Page 6: 1(3(& )$&( 8)* · The Dark Side of Prudential MeasuresI Paulo R. Scalco a, Benjamin M. Tabak1, Anderson M. Teixeira aFaculty of Management, Accounting and Economics, Federal University

2019 Klingelhoger amp Sun 2019 Richter et al 2019) We present evidence that this effect

comes with a cost This reult is even more true for countries with imperfect credit markets

such as Brazil in which banking spreads are very high in real terms

We organize the remainder of the paper as follows In section two we present related

literature We present the empirical model in section three while we describe the database

and the empirical strategy in section four In the fifth section we present our main results

and in the sixth and last section we present our final considerations

2 Brief Literature Review

We can divide the literature related to our article into two groups The first group focuses

on the effectiveness of prudential measures while the second focuses on the traditional

literature of industrial organization more specifically on the estimation of market power

Before GFC the focus of financial regulation for banks and other financial intermediaries

was on instruments aimed at reducing the risk of bankruptcy ie measures of a micropru-

dential nature and not on the financial system as a whole However as seen in the GFC the

bankruptcy of a large FI put at risk the solvency of the system as a whole When a large

FI fails there is potential for amplification and contagion in the banking system These

effects may lead to cascade failures in the financial system which can provoke a significant

shock that affects the real sector adversely In order to account for the interconnections that

may exist between financial system players financial regulation changed its focus to curb

systemic risk using macroprudential measures

The works of Moreno (2011) Galati amp Moessner (2013) Lim et al (2011) Claessens

et al (2013) Claessens (2015) and Freixas et al (2015) summarize the main prudential

instruments (microprudential and macroprudential) implemented by developed and devel-

oping countries Also they present their meaning and purpose to mitigate the probability

of bankruptcy of FIs and the systemic risk arising from the procyclicality and the intercon-

nectivity between FIs

Among the empirical studies Lim et al (2011) analyze the links between macroprudential

policies and the development of the credit market and bank leverage They find evidence

4

suggesting that the presence of policies such as limits on maximum loan value (LTV) limits of

indebtedness (DTI) limits of credit growth capital reserve requirements and dynamic rules

of provisioning are associated with reductions in the procyclicality of credit and leverage

Claessens et al (2013) investigate how the change in the individual balance sheets of

banks in 48 countries in the period 2000-2010 responds to specific changes in some macro-

legal measures Among the main results the authors show that the maximum limits of

LTV DTI and the maximum limits of foreign currency lending are effective in reducing the

growth of bank leverage and the price of assets

Aiyar et al (2014) show that in response to stricter capital requirements (capital re-

quirement) regulated banks reduce borrowing while unregulated banks may even increase

Gropp et al (2018) study the requirement for higher capital requirements Its results point

to a reduction in credit and a smaller search for capital to meet the new targets Auer

amp Ongena (2019) find that an additional capital requirement on real estate loans leads to

growth in the retail lending channel

In addition to this empirical evidence Cerutti et al (2017a) using an IMF survey cover-

ing the use of twelve macroprudential measures in 119 countries over the period 2000-2013

indicate that in general emerging countries use intensely such instruments Also instru-

ments such as LTV and others that limit the level of indebtedness are associated with the

decline in credit growth especially real estate lending

Other studies however focusing on a few prudential measures and for few countries also

stand out Igan amp Kang (2011) investigate only the effectiveness of LTV and DTI measures

in Korea Wong et al (2011) also use only the LTV and DTI measures to investigate the

behavior of real estate credit and real estate prices in Hong Kong Camors amp Peydro (2014)

investigate the effect of capital withdrawal in Uruguay in the year 2008 Aiyar et al (2014)

also investigate the capital requirement for UK banks and confirm a substantial effect on

the bank loan Finally more recently Altunbas et al (2018) direct the investigation of the

effectiveness of macroprudential measures for the risk behavior of banks

Overall this literature shows that for different countries samples and prudential mea-

sures there is a positive effect on systemic risk Countries that implement these measures

5

can reduce their lending growth to more sustainable levels and improve their financial sta-

bility However what is the costs of these measures Is there a trade-off in using such

measures We now discuss the market power and bank competition literature to assess the

second strand of the literature that helps us make our connection

In the competition-related literature in the banking industry research models and ap-

proaches generally have a limitation due to the structure and availability of data However

the model of Panzar amp Rosse (1987) - PR - is a standard method when one wants to evaluate

the degree of competition in the industry Only in Brazil we can cite the works of Belaisch

(2003) Araujo amp Jorge Neto (2007) Lucinda (2010) Tabak et al (2012) Silva Barbosa

et al (2015) Tabak amp Gomes (2015) and Cardoso et al (2016) In our investigation we

found only two other studies that did not use the PR model Nakane (2002) uses a structural

model as proposed by Bresnahan amp Reiss (1991) and Coelho et al (2013) use a bank entry

model developed by Bresnahan (1982) Internationally the literature is vast and Bikker

et al (2012) offers a comprehensive survey of the literature developed around the world

Most papers that use the PR H-statistic assume it has a monotonic relationship with

bank competition Panzar amp Rosse (1987) did not establish this monotonic relation between

H-Statistic and the degree of market competition The magnitude of the H-Statistic relates

to ranges of values that refer to the hypothesis underlying the market structure Thus it does

not represent a monotonic relationship with the degree of market power (Panzar amp Rosse

1987 Bikker et al 2012 Cardoso et al 2016) Another problem is that the hypotheses

underlying the equilibria of monopolistic and perfect competition in the PR model use

another extremely restrictive set of hypotheses An important one is that the observed data

is from firms that operate in long-term equilibrium Also the model is susceptible to the

variables used and the specification used in the estimation process of the model (Hyde amp

Perloff 1995) Bikker et al (2012) are more emphatic and argue that the H-Statistic does

not even have an ordinal function with the level of competition in the industry

Given that what the evidence suggests is that H-statistics is not a reliable measure of

the degree of market power in an industry At least not in a continuous sense or monotonic

of measure Hyde amp Perloff (1995) emphasize that although structural models have some

6

influence on the specifications of their functions they would still be the only models capable

of providing an estimate of the degree of market power

Given this context we will use a new class of models to measure the degree of market

power proposed by Kumbhakar et al (2012) and based on stochastic boundary analysis

techniques (SFA) The SFA models have several advantages when compared to the traditional

models of literature known as New Industrial Empirical Organization (NEIO) and allow

estimating in a single model a unified structure a mark-up measure and an indicator of

market power Also we can obtain measures of elasticity return to scale and efficiency

Among the main advantages of SFA models it is possible to emphasize the flexibility

and the low requirement of information for estimations of the models The method also

allows estimating market power with or without constant returns to scale and provides an

estimate of the degree of market power in the same style as the Lerner index (Lerner 1934)

thereby circumventing the critique of the use of H as a monotonic measure of the degree

of competition Another advantage of the method is that unlike most NEIO models this

measure of market power is not only an estimate of the average parameter of the competition

level of the industry but the method also allows estimating a measure of the degree of market

power per bank and over time In the same way it is possible to estimate the returns to

the banksrsquo scale Finally the SFA technique allows the parameter of market power to be a

function of deterministic variables

One of the pioneering works using SFA techniques in the banking industry is the work

of Coccorese (2014) In this article the author estimates the Lerner index for each bank

individually for a group of countries between 1994 and 2012 with the results being broadly

comparable with the traditional NEIO models More recently Das amp Kumbhakar (2016)

have also used this class of models to investigate the market power of Indian banks

We use this model to evaluate the effect of prudential measures on the bankrsquos market

power Combining an SFA method with data on prudential measures we can estimate these

effects We use prudential measures as explanatory variables for the market power parameter

that we estimate in the SFA

7

3 Empirical Method

31 Empirical Model

Our empirical model follows the models proposed by Coccorese (2014) and Das amp Kumb-

hakar (2016) However we incorporate the possibility that the mark-up has two components

a purely stochastic and a deterministic part The derivation of the model starts from the

equilibrium condition that for a profit-maximizing bank (P ) will be greater than or equal

to its Marginal Cost (MC)

P geMC (1)

The distance between P and MC determines the degree of market power of the bank

If we multiply both terms of the inequality in equation 1 by the ratio of the total product

(Y ) and the total cost (C) and considering that MC = partCpartY

we have

P middot YCge partC

partY

Y

C (2)

or

TR

Cge partlnC

partlnY (3)

Where TR corresponds to the total revenue and the relationship established in equation 3

states that in the same way as price deviates from its marginal cost the revenue-cost ratio

of the bank (TRC) detracts from its cost-elasticity

The inequality in equation 3 can be solved by adding a non-negative term u Thus

RC equiv TR

C=

partlnC

partlnY+ u u ge 0 (4)

RC is the observed revenue-cost ratio and partlnCpartlnY

is the cost-elasticity The non-negative

term u represents the mark-up of the bank however it can not be calculated using the

bankrsquos accounting data because the cost elasticity unlike RC must be calculated from a cost

8

function In addition the revenue-cost ratio can be affected by other unobserved variables

To accommodate this assumption we add a random error term iid v to equation 4

RC =partlnC

partlnY+ u+ v (5)

32 Primal Approach

As equation 5 has been defined we need to specify a cost function to estimate the term

u that is we are using a dual approach in the context of production theory Kumbhakar

et al (2012) show however that SFA models can use both the dual and primal approaches

to estimate market power In the dual approach the total cost of the bank depends on

the output quantity and input prices and the primal approach we can specify a produc-

tion function (or an input-distance function) where the output is a function of only input

quantities

This flexibility is essential because unlike many examples in the banking industry we do

not have information available on input prices When empirical models need this informa-

tion such as the PR model for example researchers circumvent this problem by estimating

input price estimates from accounting information such as the ratio between expenditure

and the amount of input used (expenditure on staff on total assets for example) The use

of this artifice however as highlighted by Kumbhakar et al (2012) can generate problems

in situations where the amount of input is endogenous

Thus like Das amp Kumbhakar (2016) we use the primal form as an alternative to the dual

form We start from the specification of a transformation function defined as Af(x Y T ) =

1 where f(middot) is a production function for a given technology Y is the quantity produced x

is the quantity vector of inputs used T is a trend variable capturing technological changes

and A is a parameter of neutral technological shift

Using a set of appropriate identification restrictions (Kumbhakar 2012) we can derive a

function input distance (IDF) from the transformation function given by xJ = Ah(x Y T )

or lnxJ = Ah(ln x lnY T ) where xj =xj

xJ j = 1 2 J minus 1 The IDF uses the normal-

ization that f(x Y T ) is homogeneous of degree minus1 iesum

jpartlnfpartlnxj

= minus1

9

Assuming that banks minimize the cost subject to technology specified by the production

function the Lagrangian for the minimization can be defined as

L = wrsquox + λ(Af(x Y T )minus 1) (6)

where w is a vector of input prices and the corresponding first order condition is

wj = minusλApartf(middot)partxj

j = 1 2 J (7)

Multiplying and dividing both sides by xj and f(middot) and rearranging terms we can

rewrite 7 as

wjxj = minusλAf(middot)partf(middot)partxj

xjf(middot)

= minusλAf(middot)partlnf(middot)partlnxj

j = 1 2 J (8)

If we take the sum of all inputs equation 8 becomes

C =Jsum

j=1

wjxj = minusλAf(middot)Jsum

j=1

partlnf(middot)partlnxj

rArr minusλA =C

f(middot)middot 1sumJ

j=1partlnf(middot)partlnxj

(9)

From the envelop Theorem we have that the marginal cost (MC) is partLpartYequiv MC =

λApartf(middot)partY

= 0

If we use equation 9 we can express it as

MC = minus C

f(middot)middot 1sumJ

j=1partlnf(middot)partlnxj

middot partf(middot)partY

partC

party

Y

Cequiv partlnC

partlny= minuspartf(middot)

partY

Y

f(middot)middot 1sumJ

j=1partlnf(middot)partlnxj

EC equivpartlnC

partlny= minuspartlnf(middot)

partlnYmiddot 1sumJ

j=1partlnf(middot)partlnxj

=partlnf(middot)partlnY

equiv EY (10)

Equation 10 states that the Cost Elasticity (EC) equals Product elasticity (EY ) which

can be calculated from the parameters of the distance input function (IDF) This result

10

is important because it means that we can substitute the term on the right side of the

equation 5 by product elasticity that is

RC =partlnf(middot)partlny

+ u+ v u ge 0 (11)

The advantage of estimating equation 11 rather than equation 5 is that we can estimate

mark-ups without the need for input and output prices that is we only need the information

on revenue and total cost of banks and the respective input quantities

In order to estimate the mark-up defined in equation 11 we assume that the transforma-

tion function takes a form of the translog type and apply the appropriate normalizations as

in Kumbhakar (2012) to express the transformation function in the form of an input input

function given by

lnx1 = α0 +Jminus1sumj=1

αjlnxj +1

2

Jminus1sumj=1

Jsumk=2

αjklnxjlnxk

+ αY lnY +1

2αY Y (lnY )2 +

Jminus1sumj=1

αjY lnxjlnY+ + αTT +1

2αTTT

2

+Jminus1sumj=1

αjT lnxjT + αY TT lnY

(12)

from which we can derive the product-elasticity as

EY equivpartlnx1partlnY

= αY + αY Y lnY +Jminus1sumj=1

αjY lnxj + αY TT (13)

where xj =xj

xJ j = 1 2 J minus 1

Replacing equation 13 in equation 11 we define our empirical equation as

RC = αY + αY Y lnY +Jminus1sumj=1

αjY lnxj + αY TT + u+ v (14)

As highlighted by Kumbhakar et al (2012) once that we are interested in estimating

the individual mark-up of each bank we need to focus only on 14 without the need to

11

estimate the full distance input function defined by 12 Besides since the compound error

term (ε = u + v) is the same in the SFA models we use the Maximum Likelihood method

to estimate the model (14) For this it is necessary to assume a hypothesis about the

distribution of the two components

We follow the literature and assume that the random error component v is independent

and identically distributed with a normal distribution zero mean and constant variance

that is v sim N(0 σ2v) On the other hand for the nonnegative component u representing

the banksrsquo mark-up we extend the models of by Coccorese (2014) and Das amp Kumbhakar

(2016) and separating the deviation from the competitive frontier in a deterministic part

which is a function of a vector of explanatory variables Zrsquo of the purely stochastic part

Following the SFA literature we estimate the deterministic component of mark-up si-

multaneously with the parameters of the 14 in the same way as Lopez et al (2018) This

procedure reduces possibility of bias of the estimates when the stochastic term includes

determinants of deviations Thus the mark-up (u) in 14 can be represented by

u = Zrsquoδ + ω (15)

where ω is the stochastic component of mark-up and is defined by a truncated normal

distribution with zero mean and constant variance σ2ω such that ω ge -Zrsquoδ Therefore the

mark-up (u) follows a distribution u sim N+(Zrsquoδ σ2ω)

Combining equations 14 and 15 the model we estimate is as follows

RC = αY + αY Y lnY +Jminus1sumj=1

αjY lnxj + αY TT + Zrsquoδ + ωit + v (16)

In order to verify the impact of prudential measures on the degree of competition we

have included the measures Cerutti et al (2016) as determinants of mark-up in addition to

a measure of concentration represented by the HHI calculated from the total assets of the

banks

12

33 Market Power

To measure the degree of power of each bank we use the traditional measure defined by

Lerner (1934)

L =P minusMC

P (17)

if L = 0 P = MC and for any value L gt 0 P gt MC In the limit L = 1

The connection between the SFA model (equation 16) and the Lerner index is done

rearranging the equation 5 Omitting the error term (v) for simplification we can rewrite

equation 5 as

P middot YC

partlnY

partlnCminus 1 = u

partlnY

partlnCmiddot (18)

Considering that partlnYpartlnC

= (partYpartC

)(CY

) we have

P minusMC

MC=

u

EC

middot (19)

Equation 19 corresponds to an alternative definition of mark-up called θ where the

distance between price and marginal cost is expressed as a fraction of the latter In addition

since the function input distance is dual the cost function we can substitute EC for EY in

equation 19 and after estimating equation 16 and obtain estimates of the mark-up (u) the

estimation of market power can be obtained by replacing the values estimated in equation 19

as follow

θ equiv P minusMC

MC=

u

αY + αY Y lnY +sumJminus1

j=1 αjY ln xj + αY TT (20)

This estimate can be used to obtain the traditional measure of Lerner index as in

equation 16 employing the following formula

L =θ

1 + θ (21)

13

34 Returns to Scale

Finally we can use the estimates of equation 16 to obtain other characteristics of tech-

nology such as the return to scale and the scale bias Formally EC = partlnCpartlnY

= (partCpartY

)(YC) =

MCAC where AC represents the average cost This means that the return to scale is

inversely related to cost elasticity that is RTS = 1EC If EC = 1 we will have constant re-

turns to scale if EC lt 1 we will have increasing returns (economies of scale) and if (EC gt 1)

we will have decreasing returns (diseconomies of scale) Again using the duality condition

between IDF and the cost function we can use the estimates of equation 16 to calculate the

return to scale and scale bias Respectively

RTS =1

αY + αY Y lnY +sumJminus1

j=1 αjY ln xj + αY TT(22)

and

Scale Bias = αY T (23)

If the scale bias parameter (αY T ) is statistically significant and greater than zero this

suggests that technological change is reducing economies of scale over time

4 Database and empirical approach

The database used can be divided into two parts The first part includes the information

of all FI authorized to operate in Brazil by the Brazilian Central Bank (BCB) This infor-

mation is available on the BCBrsquos website through the IFdata system and contains detailed

information on the balance sheet income statement and credit portfolio of all IFs In ad-

dition data are available on an individual basis as well as on financial conglomerates and

prudential conglomerates1 For this work we use the concept of financial conglomerates In

1The BCB defines as a financial conglomerate the group of financial entities directly or unrelated byshareholding or by effective operational control characterized by standard management or by operatingin the market under the same brand or commercial name (Circular note no 1273 from Brazilian CentralBank) The concept of a prudential conglomerate in turn encompasses a broader universe of entities suchas consortium administrators payment institutions and companies that purchase credit operations (Officedocument no 1273 from Brazilian Central Bank)

14

December 2018 there was information on a total of 2753 IFs between commercial banks

or multiple banks with and without commercial portfolios credit cooperatives development

banks among others arranged quarterly since the first quarter of 2000

Our sample was restricted only to commercial banks or multiple banks with commercial

portfolios and savings banks Banks with loan portfolio equal zero and did not contain

information for at least three consecutive years were excluded In the same way we excluded

banks with observations that fell bellow 1st percentile of the sample for each one of variables

used in the model or above 99th percentile only for the dependent variable RC = TRC

Furthermore we chose to work with the data on a semi-annual basis (June and December

base dates) because inconsistencies we have found in some quarterly accounting data After

applying all these criteria our sample was restricted to a panel with only 83 banks between

the first half of 2000 and the second half of 2014 totaling 1818 observations2 In terms

of representativeness our sample with only 83 banks corresponded to 794 of the total

assets and 817 of the credit portfolio of the entire SFN in December 2014

The second database was obtained from Cerutti et al (2016) In this unprecedented

database the focus is on the change and intensity in the use of a set of prudential instruments

classified as micro-prudential and macro-prudential3 They collect the data for 64 countries

with a quarterly period covering the period between the first quarter of 2000 and the fourth

quarter of 2014 In the database in addition to a considerable number of countries the

information collected by the authors has the objective of mapping the intensity and the

change occurring quarterly in each of the prudential instruments

The original instruments of the database are the capital requirement capital buffer

interbank exposure limit concentration limit maximum loan amount commonly known as

Loan-to-value and reserve requirement

Concerning the capital requirement instrument we can understand it as an imposition

2Although the BCB has information until the second half of 2018 the database with prudential variablesavailable in the article by Cerutti et al (2016) goes only until the second half of 2014

3The database of Cerutti et al (2016) is a considerable advance to the available prudential data collectedso far in Lim et al (2011) and Cerutti et al (2017a) In both studies the focus is on only identifying whetheror not the country has implemented the appropriate prudential instrument

15

for a compulsory deposit with the BCB of demand deposits of financial institutions Capital

buffer serves as a buffer against countercyclical capital whose purpose is to protect the

banking sector in periods of excessive credit growth which is associated with increased

systemic risk On the other hand in periods of credit constraint the buffering capital may

decrease and thus not affecting the performance of the real side of the economy

The interbank exposure limit is a liability limiter maintained by the banking sector as a

whole or by a particular bank By the concentration limit we mean a procedure that limits

the fraction of assets concentrated to a limited number of borrowers

Loan-to-value is a restriction to the borrower or activity It is the imposition of maximum

amounts of loans on the value of collateral or even maximum amounts of indebtedness to the

income of the borrower Finally we can interpret a reserve requirement as an instrument

whose purpose is to limit the multiplication of money in the economy through the imposition

of compulsory deposits with the Central Bank

The prudential capital buffer instrument was broken down into the following categories

general capital requirement real estate credit consumer credit and others We decompose

the reserve requirement instrument into two sub-indices local domestic currency and foreign

currency

Information on intensity and change in prudential tooling is collected as follows by the

researchers If the financial regulator tightens the instrument in question in a specific quarter

the index assumes a value of +1 On the other hand if the same instrument undergoes

relaxation or loosening the value of minus1

Finally the index receives a value of zero if there was no change in the prudential

instrument in that quarter4 According to Cerutti et al (2016) in addition to capturing the

intensity of change in such a prudential policy this type of coding incorporates qualitative

characteristics of the policy that are lost by the type of dichotomous coding (1 if implemented

and 0 otherwise) Despite the simplicity of the coding used it is imperfectly able to measure

direction in policy change Not all the instruments available on the original basis were used

4For more details on how the base was built see Cerutti et al (2016)

16

because some measures were not implemented by the BCB Examples are the capital buffer

for real estate credit the concentration limit of banks to sectors or borrowers and the limit

on interbank exposure

Moreover due to the low variability in most measures and the semi-annual structure

of the database obtained in the BCB we chose to use the cumulative indexes of variation

According to Cerutti et al (2016) the purpose of this cumulative index is to capture the

level of tightness or looseness over a given period Finally to capture an overall measure of

prudential instruments we aggregate all variations of prudential instruments into a single

aggregate instrument called cumulative prudential Table A5 attached illustrates the

change and the intensity of the prudential instruments implemented by Brazil according to

the data collected by Cerutti et al (2016)

Our empirical strategy consists in estimating the equation 16 by Maximum Likelihood in

a two-stage procedure wherein the first stage we obtain the estimates of the parameters of

the equation and in the second stage we calculate the estimates of uit using the conditional

mean estimator of Jondrow et al (1982)

After obtaining the estimates of u and RC equiv EY we use equation 20 to calculate the

estimated values of θ which are used to calculat e the Lerner Index (L) according to

equation 21

We estimated six models wif different sets of deterministic variables (prudential measures)

to control the parameter of market power (uit) In the first model we did not add any

controls In the second we include only the HHI In the third specification we include the

capital buffer and capital requirement The fourth model uses only the loan-to-value In the

fifth model we include reserve requirements in both foreign and local currency and in the

last model we include the cumulative prudential measure which is the sum of the changes

in all other prudential measures

The inclusion of prudential variables in a separated way was necessary because they

represent only the tightening or the loosening of the prudential instrument Therefore they

do not represent the change in the magnitude of the prudential instrument As such the

variables have little variability and the high correlation generated between them causes

17

severe problems in the estimation process by maximum likelihood In general the tests with

the aggregate models did not reach the convergence of likelihood function even using different

strategies for initial values or optimization algorithm and when the optimization reaches an

optimal state the estimates were inconsistent For this reason we chose to estimate simpler

models including prudential variables separately or at most two when they represented

similar measures

Besides two critical events occurred in the second half of 2008 and significantly changed

the structure and dynamics of the banking industry in Brazil The outbreak of the subprime

crisis in the US and the acquisition of Unibanco by Itau in Brazil5 Itau-Unibanco has become

the largest bank in Brazil (Itau-Unibanco) accounting for 191 of total SFN assets and

184 of the total loan portfolio in the second half of 2008

We can observe the increase in market concentration in Figure 1 which represents HHI

concentration indices for total assets and total credit portfolio The increase in concentra-

tion levels of the banking industry on the other hand also coincides temporarily with the

outbreak of the GFC and an increase in rigidity in prudential instruments after the onset of

the crisis6

These events result in a high correlation between the variables and making it more

difficult to isolate the effects of each variable on the parameter of market power In this

way we also chose to estimate an HHI-only model as the control variable of market power

(uit)

Figure 1 Evolution of the Herfindahl Index (HHI) over time using credit and total assets

for the Brazilian banking system

We summarize the description of the variables that we will use in the estimation of

5Unibanco was the sixth largest Brazilian bank in the first half of 2008 accounting for 59 of total SFNassets and 6 of the total loan portfolio Also Itau was the third largest bank with 118 of SFN and119 of the loan portfolio

6Cubillas amp Suarez (2018) find the same result as the banksrsquo market power increased shortly after theGFC

18

equation 16 and how we calculate them in Table 1 All variables included in equation 16

except for trend prudential variables an HHI are in the logarithms form

Table 1 Variables used to IDF estimatation

5 Empirical Results

We present the results of the models in Table 2 Initially focusing on the interpretation

of the parameters of the input-distance function we verified that the size of the IF credit

portfolio (lnY ) has a negative sign but it was significant only for models 1 4 and 5 This

result implies that the larger the portfolio size the lower the revenue-cost ratio of the FI

Table 2 Results of IDF estimation

The coefficients of Staff costs (lnx1) and volume of funding (lnx2) were also negative

and significant in all models Thus the higher the staff costs and the higher the funding

volume the lower the cost-to-cost ratio of the FIs The trend variable as established by

equation 23 represents the scale bias and the negative sign would indicate that technological

change would increase economies of scale over time however no estimate was significant

51 Impact of Prudential Measures on Mark-up

The evaluation of the variables that determine the mark-up parameter (u) shows that

all of them are statistically significant and positive The SFA model is not linear in these

parameters Therefore the value of the coefficients does not represent the effect of the

magnitude of changes in the variables on the mark-up (their elasticities) However we can

estimate their marginal effects We present them for each variable in Figure 2

19

Figure 2 Marginal effects of HHI and prudential instruments (Capital Buffer Capital

RequirementLTV Reserve Requirement (Foreign) Reserve Requirement (domestic) and

cumulative prud) on themark-upucomponent

The positive sign of HHI in model 2 means that the more concentrated the banking

industry is the higher the market power of FIs This result is in line with that established by

the traditional structure-conduct-performance paradigm (Schmalensee 1989) However as

can be seen in Figure 1 the increase in the concentration index coincides with the tightening

of the prudential measures stemming from the GFC In this sense we can not say whether

this is the real effect of the increase in market concentration on the market power of FIs or

whether it is affected by the tightening of prudential measures

If we focus on prudential instruments the results for capital buffers and the capital

requirement (model 3) indicate that a tightening in these variables - whose purpose is to

increase banksrsquo capital reserve during positive shocks in the economy - has a detrimental

effect on competition market since they raise the IF mark-ups This effect happens because

this prudential measure influences the smoothing of the credit supply cycle

The same results are present for the loan-to-value variable (model 4) In general this

measure sets limits on the leverage of mortgages and other securities and a tightening in

ltv is effective in controlling possible booms in the real estate market by reducing real estate

prices and ultimately reducing the excess volatility of the economy ((Zhang amp Zoli 2016

Ely et al 2019) According to the result found the higher the limits the greater the market

power of the FIs

With respect to reserve requirements both in foreign and local currency - credit limits

directly in foreign currency and domestic currency respectively - the results (model 5) also

demonstrate a detrimental effect on competition since the tightening in such measures also

implies an increase mark-up of IFs In the model 6 where we introduce the aggregate

prudential measure the result found is similar to the others that is the higher the tightness

(in general) in the prudential measures of the financial system the higher the market power

of FIs

20

Unfortunately since prudential variables represent only a measure of tightening or loos-

ening of prudential policy and not its magnitude we can not accurately assess the impact

of these variables on the mark-up The marginal effects represented in Figure 2 give us only

an idea of how such variables affected the estimated mark-ups

However in general we can say that the positive signs of the estimates mean that the

higher the tightness in these prudential policies the greater the mark-up and consequently

the higher the market power of the FIs Therefore we find a perverse effect on industry

competition and probably a loss of borrowers welfare

Our results are in accordance with the evidence that the increase in prudential rigor has

negative impacts mainly on the supply of credit (Lim et al 2011 Claessens 2015 Aiyar

et al 2014 Gropp et al 2018 Cerutti et al 2017a) Ceteris paribus the increase of IF

mark-ups would be a fully expected effect As highlighted by Claessens amp Laeven (2004) any

policy that restricts the activity of banks and hinders their operation has negative impacts

on market competition

52 Estimation of Lerner indices

Regarding the mark-up estimation the values reported at the bottom of Table 2 corre-

spond to the distance between the observed revenue-cost ratio and its competitive boundary

that is the component u

To interpret the mark-up however we will focus the discussion on the estimates of

Lerner index (equation 21) because they have a more unambiguous economic meaning We

summarize the results of Lerner index for general estimates by type of control and for each

model in Table 3 and the Figure 3 shows their frequency distributions We should emphasize

that these estimates are individuals that is we obtain the estimates for each IF and at each

period t The tables in Annex (A6 to A11) summarizes the estimates of the Lerner index

and the returns to scale for each IF in the sample

Table 3 Estimates of Lerner index general and by type of control

21

Figure 3 Frequency distribution of Lerner indexes for each model and density estimation

Kernel by typeof control

For all six models all mark-up estimates were within the theoretical range of 0 and 1

with the minimum value being 0009 (model 2) and the maximum value 0362 (model 3) In

general the estimated average value was between 0051 (model 2) and 0058 (models 1 and

5) which means that on average Brazilian banks have a mark-up between 51 and 58

These values are slightly different when we separate the estimates by type of control

In the case of state-owned banks the average mark-up was between 0047 (model 2)

and 0057 (model 1) These values are lower in all the estimated models to the values

of (privates) national banks (0052-0057) and foreign banks (0050-0061) However the

medians of estimated values for state-owned banks were higher than the national and foreign

private banks in all models

For comparison purposes these values are considerably lower than the value (016) esti-

mated for Brazil in Coccorese (2014) We believe that this difference is due to the model and

sample used Coccorese (2014) has estimated the dual version of model (equation 5) and

as highlighted by Kumbhakar et al (2012) the use of accounting information to calculate

input prices can generate problems when they are endogenous

Regarding the sample Coccorese (2014) also used a different period from ours (1994 to

2012) and a more significant number of IFs in the sample (189 against 83 used by us) The

main difference here is in the number of IF - 106 in total In this respect it is essential to

note that these FIs constitute small FIs and in the second half of 2014 they held only 37

of total SFN assets and 24 of the total credit portfolio

We tried to replicated the Coccoresersquo sample but in preliminary tests we have found great

difficulties in the models estimations in particular at convergence of likelihood function

We observed these small IFs had in several situations extremely high values for the revenue-

cost ratio or excessively low for the inputs used (personnel expenses and funding) as well

as other problems such as launch errors (positive values in variables of expenditure for

example) and missings For these reasons and considering that such IFs represented only a

22

small fraction of Brazilian credit market we decided to exclude them from the sample

However It is worth highlight as they are small FIs the vast majority operate in particular

segments of the credit market and probably assume a more risk-taking behavior Considering

that they will work with a segment of credit claimants with rdquoworse scoresrdquo than borrowers

using large FIs we expect that the mark-up of these IFs will be higher We can observe

(part of) this phenomenon in Figure 4 where we represent the estimates of the Lerner index

(vertical axis) against market share of total assets (horizontal axis) of our sample and it is

quite evident the smaller banks have the higher mark-ups Therefore as our sample exclude

a large proportion of these small IFs it is natural that Coccorese (2014)rsquo results larger than

ours

Figure 4 Lerner indexes according to the size (market share) of banksrsquo assets

Regardless of this our results seem to adhere well to reality because if we look at Figure

5 we note that the Lerner indices show a significant increase from the second semester of

2008 These results are in agreement with the results of Cubillas amp Suarez (2018) Besides

in Figure 6 Lerner indexes are separated by type of control and we can observe that with

some exceptions the market power has always been lower for state-owned banks especially

considering the period after the GFC

Figure 5 Average Lerner indices for each model between 2000q2 and 2014q4

Figure 6 Average Lerner indices estimated for public private national and private

foreign banks between2000q2 and 2014q4

23

53 Estimation of Returns to Scale

Finally Table 4 and Figure 7 summarize the estimates of returns to scale We highlight

that the average of the returns to the scale of the Brazilian FIs is very close if we comparer

the six estimated models (between 0848 and 0851) Although the values are close to unity

in all IFs we reject the hypotheses of constant returns to the scale that is RTS = 1 therefore

IFs have diseconomies of scale

Table 4 Estimates of returns to scale by control type and general

When we separate estimates by type of control the estimates of state-owned banks

(0937-0944) are higher than national (0824-0829) and foreign banks (0841-0844) This

result means that the scale problem is a problem common to all FIs in Brazil Moreover

state-owned banks runs closer to the constant return region than national and foreign banks

Figure 7 Frequency distribution of the returns to scale indexes for each model and

density estimationKernel by type of control

6 Final Considerations

Considering that the banking industry underwent a significant restructuring in recent

years caused by several mergers and acquisitions in the sector as well as by a severe financial

crisis started in mid 2007 and potentialized in 2008 understand the behavior of market

power and as a (partial) set of prudential instruments influencing this dynamic has become

paramount Thus in an innovative way this paper proposed the use of stochastic frontier

analysis techniques to measure market power for the Brazilian banking industry and to test

if such prudential measures had an impact on the competitive dynamics of sector

The estimated average Lerner index was between 51 and 58 for Brazilian FIs How-

ever when controlled by the type of control we find that state-owned banks have slightly

24

lower estimates than national and foreign banks respectively Also estimates of returns to

scale allow us to infer that FIs operate with diseconomies of scale

Concerning the impact of prudential measures on the market power of FIs our results

generally suggest that tightening of prudential measures have a positive impact on bank

mark-up and consequently have detrimental effects on competition in industry banking

Finally in future research it will be possible to better understand the influence of some

prudential measures in the banking market through the study by type of segment or line of

credit

25

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idence from a uk policy experiment Journal of Money Credit and Banking 46 181ndash214

URL httpsonlinelibrarywileycomdoiabs101111jmcb12086 doi101111jmcb12086

arXivhttpsonlinelibrarywileycomdoipdf101111jmcb12086

Altunbas Y Binici M amp Gambacorta L (2018) Macroprudential policy and bank risk Journal of

International Money and Finance 81 203ndash220 doihttpsdoiorg101016jjimonfin201711

012

Araujo L A D d amp Jorge Neto P d M (2007) Risco e competicao bancaria no Brasil Revista Brasileira

de Economia 61 175ndash200 URL httpwwwscielobrscielophpscript=sci_abstractamppid=

S0034-71402007000200003amplng=enampnrm=isoamptlng=pt doi101590S0034-71402007000200003

Auer R amp Ongena S (2019) The countercyclical capital buffer and the composition of bank lending

Available at SSRN 3345189

Ayyagari M Beck T amp Peria M (2018) The micro impact of macroprudential policies Firm-level

evidence IMF Working Paper

Barbosa K de Paula Rocha B amp Salazar F (2015) Assessing competition in the banking indus-

try A multi-product approach Journal of Banking amp Finance 50 340ndash362 URL httpwww

sciencedirectcomsciencearticlepiiS0378426614001642 doi101016jjbankfin201405

003

Belaisch A (2003) Do Brazilian Banks Compete SSRN Scholarly Paper ID 879189 Social Science Research

Network Rochester NY URL httpspapersssrncomabstract=879189

Bikker J A Shaffer S amp Spierdijk L K (2012) Assessing competition with the panzar-rosse model

The role of scale costs and equilibrium Economics Letters 94 1025ndash1044

Bresnahan T F (1982) The oligopoly solution concept is identified Economics Letters 10 87ndash92 URL

httpdxdoiorg1010160165-1765(82)90121-5 doi1010160165-1765(82)90121-5

Bresnahan T F amp Reiss P (1991) Entry and competition in concentrated markets Journal of Political

Economy 99 977ndash1009

Camors C amp Peydro J (2014) Macroprudential and monetary policy Loan-level evidence from reserve

requirement Mimeo Universitat Pompeu Fabra URL httpspdfssemanticscholarorgd508

61639bb4e7453a7a39184edf9b0c1e7016a6pdf

Cardoso M Azevedo P F amp Barbosa K (2016) Concorrencia no setor bancario brasileiro bancos

individuais versus conglomerados bancarios (pp 113ndash146) URL httprepositorioipeagovbr

handle110586650

Cerutti E Claessens S amp Laeven L (2017a) The use and effectiveness of macroprudential policies New

26

evidence Journal of Financial Stability 28 203ndash224 doihttpsdoiorg101016jjfs201510

004

Cerutti E Correa R Fiorentino E amp Segalla E (2016) Changes in prudential policy instruments ndash a

new cross-country database IMF Working Paper WP1610

Cerutti E Dagher J amp DellrsquoAriccia G (2017b) Housing finance and real-estate booms A cross-country

perspective Journal of Housing Economics 38 1ndash13

Claessens S (2015) An overview of macroprudential policy tools Annual Re-

view of Financial Economics 7 397ndash422 URL httpsdoiorg101146

annurev-financial-111914-041807 doi101146annurev-financial-111914-041807

arXivhttpsdoiorg101146annurev-financial-111914-041807

Claessens S Ghosh S R amp Mihet R (2013) Macro-prudential policies to mitigate financial system

vulnerabilities Journal of International Money and Finance 39 153ndash185 doihttpsdoiorg10

1016jjimonfin201306023

Claessens S amp Laeven L (2004) What drives bank competition some international evidence Journal

of Money Credit and Banking 36 563ndash583 URL httpwwwjstororgstable3838954

Coccorese P (2014) Estimating the Lerner index for the banking industry a stochastic frontier approach

Applied Financial Economics 24 73ndash88 URL httpdxdoiorg101080096031072013866202

doi101080096031072013866202

Coelho C A De Mello J M amp Rezende L (2013) Do Public Banks Compete with Private

Banks Evidence from Concentrated Local Markets in Brazil Journal of Money Credit and Bank-

ing 45 1581ndash1615 URL httponlinelibrarywileycomdoi101111jmcb12063abstract

doi101111jmcb12063

Cubillas E amp Suarez N (2018) Bank market power and lending during the global financial crisis Jour-

nal of International Money and Finance 89 1ndash22 URL httpwwwsciencedirectcomscience

articlepiiS0261560618303048 doihttpsdoiorg101016jjimonfin201808003

Das A amp Kumbhakar S C (2016) Markup and efficiency of Indian banks an input distance func-

tion approach Empirical Economics (pp 1ndash31) URL httplinkspringercomarticle101007

s00181-015-1062-4 doi101007s00181-015-1062-4

Ely R Tabak B amp Teixeira A (2019) Heterogeneous effects of the implementation of macroprudential

policies on bank risk MPRA Paper No94546

Freixas X Laeven L amp Peydro J-L (2015) Systemic Risk Crises and Macroprudential Regulation

Mit Press URL httpwwwjstororgstablejctt17kk82g

Galati G amp Moessner R (2013) Macroprudential policy ndash a literature review Jour-

nal of Economic Surveys 27 846ndash878 URL httpsonlinelibrarywileycom

27

doiabs101111j1467-6419201200729x doi101111j1467-6419201200729x

arXivhttpsonlinelibrarywileycomdoipdf101111j1467-6419201200729x

Gropp R Mosk T Ongena S amp Wix C (2018) Banks Response to Higher Cap-

ital Requirements Evidence from a Quasi-Natural Experiment The Review of Finan-

cial Studies 32 266ndash299 URL httpsdoiorg101093rfshhy052 doi101093rfshhy052

arXivhttpoupprodsislanrfsarticle-pdf32126627185080hhy052pdf

Hyde C E amp Perloff J M (1995) Can market power be estimated Review of Industrial Organization 10

465ndash485 URL httplinkspringercomarticle101007BF01024231 doi101007BF01024231

Igan D amp Kang H (2011) Do loan-to-value and debt-to-income limits work evidence from korea IMF

Working Papers (pp 1ndash34)

Jimenez G Ongena S Peydro J-L amp Saurina J (2017) Macroprudential policy countercyclical bank

capital buffers and credit supply Evidence from the spanish dynamic provisioning experiments Journal

of Political Economy 125 2126ndash2177 URL httpsdoiorg101086694289 doi101086694289

arXivhttpsdoiorg101086694289

Jondrow J Knox Lovell C A Materov I S amp Schmidt P (1982) On the estimation of technical

inefficiency in the stochastic frontier production function model Journal of Econometrics 19 233ndash

238 URL httpwwwsciencedirectcomsciencearticlepii0304407682900045 doi101016

0304-4076(82)90004-5

Klingelhoger J amp Sun R (2019) Macruprudential policy central banks and financial stability Evidence

from china Journal of International Money and Finance 93 19ndash41 URL httpsdoiorg101016

jjimonfin201812015

Kumbhakar S C (2012) Specification and estimation of primal production models European Journal

of Operational Research 217 509ndash518 URL httpwwwsciencedirectcomsciencearticlepii

S0377221711008939 doi101016jejor201109043

Kumbhakar S C Baardsen S amp Lien G (2012) A New Method for Estimating Market Power with

an Application to Norwegian Sawmilling Review of Industrial Organization 40 109ndash129 URL http

linkspringercomarticle101007s11151-012-9339-7 doi101007s11151-012-9339-7

Lerner A P (1934) The Concept of Monopoly and the Measurement of Monopoly Power The Review

of Economic Studies 1 157ndash175 URL httprestudoxfordjournalsorglookupdoi102307

2967480 doi1023072967480

Lim C H Costa A Columba F Kongsamut P Otani A Saiyid M Wezel T amp Wu X (2011)

Macroprudential policy what instruments and how to use them lessons from country experiences IMF

working papers (pp 1ndash85)

Lopez R A He X amp Azzam A (2018) Stochastic frontier estimation of market

28

power in the food industries Journal of Agricultural Economics 69 3ndash17 URL https

onlinelibrarywileycomdoiabs1011111477-955212219 doi1011111477-955212219

arXivhttpsonlinelibrarywileycomdoipdf1011111477-955212219

Lucinda C R (2010) Competition in the Brazilian loan market an empirical analysis Estudos Economicos

(Sao Paulo) 40 831ndash858 URL httpwwwscielobrscielophpscript=sci_abstractamppid=

S0101-41612010000400004amplng=enampnrm=isoamptlng=en doi101590S0101-41612010000400004

Moreno R (2011) Policymaking from arsquomacroprudentialrsquoperspective in emerging market economies

Nakane M I (2002) A test of competition in brazilian banking Estudos Economicos (Sao Paulo) 32

203ndash224 URL httpwwwrevistasuspbreearticleview117799

Panzar J C amp Rosse J N (1987) Testing for rdquomonopolyrdquo equilibrium The Journal of Industrial

Economics 35 443ndash456 URL httpwwwjstororgstable2098582 doi1023072098582

Richter B Schularick M amp Shim I (2019) The costs of macroprudential policy Journal of Inter-

national Economics 118 263 ndash 282 URL httpwwwsciencedirectcomsciencearticlepii

S0022199618302617 doihttpsdoiorg101016jjinteco201811011

Schmalensee R (1989) Chapter 16 inter-industry studies of structure and performance In Hand-

book of Industrial Organization (pp 951ndash1009) Elsevier BV URL httpdxdoiorg101016

s1573-448x(89)02004-2 doi101016s1573-448x(89)02004-2

Silva M S d () Avaliacao do processo de concentracao-competicao no setor bancario brasileiro URL

httpwwwbcbgovbrpecwpsporttd377pdf

Tabak B amp Gomes G (2015) The impact of market power at bank level in risk-taking The brazilian

case International Review of Financial Analysis 40 154ndash165

Tabak B M Fazio D M amp Cajueiro D O (2012) The relationship between banking market competition

and risk-taking Do size and capitalization matter 36 3366ndash3381 URL httpwwwsciencedirect

comsciencearticlepiiS0378426612002026 doi101016jjbankfin201207022

Wong T Fong T Li K-f amp Choi H (2011) Loan-to-value ratio as a macroprudential tool-hong kongrsquos

experience and cross-country evidence

Zhang L amp Zoli E (2016) Leaning against the wind Macroprudential policy in asia Journal of Asian

Economics 42 33ndash52

29

Figure 1 Evolution of the Herfindahl Index (HHI) over time using credit and total assets for theBrazilian banking system

30

Figure 2 Marginal effects of HHI and prudential instruments (Capital Buffer Capital RequirementLTV Reserve Requirement (Foreign) Reserve Requirement (domestic) and cumulative prud) on the

mark-up u component

31

Figure 3 Frequency distribution of Lerner indexes for each model and density estimation Kernel by typeof control

32

Figure 4 Lerner indexes according to the size (market share) of banksrsquo assets

33

Figure 5 Average Lerner indices for each model between 2000q2 and 2014q4

34

Figure 6 Average Lerner indices estimated for public private national and private foreign banks between2000q2 and 2014q4

35

Figure 7 Frequency distribution of the returns to scale indexes for each model and density estimationKernel by type of control

36

Table 1 Variables used to IDF estimatation

Variabel Description SourceBasic variables

TR Total Revenue = Gross Insterest Income (a) + Bank-ing Service Fee Income (d1) + Banking Fee Income(d2) + Other Operating Income (d7)

Inc statIFData

TC Total Cost = Interest Expenses (b) + Personnel Ex-penses (d3) + Administrative Expenses (d4) + TaxExpenses (d5) + Other Operating Expenses (d8)

Inc statIFData

Y Loan Lease and Other Credit Operations by RiskLevel

SummaryIFData

x1 Personnel Expenses (d3) Inc statIFDatax2 Funding (e) LiabilitiesIFDatax3 Equity (j) LiabilitiesIFData

Model variabelslnRC Log of Revenue-Cost ratiolnY Log of total loanlnx1 Log of personnel expenses and equity ratio (x1x3)lnx2 Log of funding and equity ratio (x2x3)T Time

Prudential variables - Deterministic mark-up parametersHHIt HHIt =

sumS2it where Sit

2 is market share of totalasset of bank i on time t

Inc statIFData

cb cumulative change of capital buffer Cerutti et al (2016)cr cumulative change of capital requirement Cerutti et al (2016)ltv cumulative change of loan-to-value Cerutti et al (2016)

rr foreign cumulative change of reserve requirement (foreigncurrency)

Cerutti et al (2016)

rr local cumulative change of reserve requirement (domesticcurrency)

Cerutti et al (2016)

37

Table 2 Results of IDF estimation

Parameters VariablesEstimates

Model Model Model Model Model Model(1) (2) (3) (4) (5) (6)

Parametros da funcao insumo distanciaαY Y lnY -0013 -0003 -0004 -0012 -0011 -0005

(000) (000) (000) (000) (000) (000)α1Y lnx1 -0096 -0095 -0094 -0094 -0096 -0090

(001) (001) (001) (001) (001) (001)α2Y lnx2 -0019 -0022 -0022 -0019 -0020 -0021

(001) (001) (001) (001) (001) (001)αY T T -0000 -0000 -0000 -0000 -0000 -0000

(000) (000) (000) (000) (000) (000)αY const 1153 1010 1035 1134 1129 1057

(005) (007) (005) (005) (005) (006)

Deterministic Mark-up parametersδ1 HHI 764157

(12270)δ1 Capital

Buffer7586(065)

δ2 CapitalReq

4696(160)

δ1 Loan-to-value38511(671)

δ1 ResR(foreign)10730(433)

δ2 ResR(local)2869(126)

δ1 Cum Prud3237(020)

δ0 const minus10601minus10194minus5306 minus9866 minus8577 minus4993(032) (2064) (316) (079) (119) (122)

Distribution of u and vσ2u 2840 1418 1620 2643 2441 1593σ2v 0118 0121 0120 0118 0118 0120λ 2402 1172 1354 2233 2065 1325Log Lik 887404 922033 918606 896019 891991 907817

EstimatesEstimates of Mark-up (u)Avg 0075 0065 0068 0074 0075 00691st quartile 0052 0038 0051 0051 0051 0044Median 0062 0048 0060 0060 0061 00543st quartile 0080 0074 0079 0079 0079 0075std-dev 0053 0054 0053 0053 0054 0054

Note p lt 010 p lt 005 and p lt 001

38

Table 3 Estimates of Lerner index general and by type of control

EstimatesModel Model Model Model Model Model

(1) (2) (3) (4) (5) (6)Mark-up (L) generalAverage 0058 0051 0053 0057 0058 0053std-dev 0032 0034 0034 0032 0032 00331st quartile 0043 0031 0034 0041 0042 0036Median 0051 0039 0044 0050 0050 00453st quartile 0063 0060 0059 0063 0063 0060Mark-up (L) State-owned banksAverage 0057 0047 0049 0056 0056 0050std-dev 0018 0017 0017 0018 0016 00161st quartile 0047 0035 0038 0045 0046 0040Median 0054 0041 0046 0053 0053 00463st quartile 0064 0056 0056 0064 0063 0057Mark-up (L) National banksAverage 0057 0052 0054 0057 0057 0054std-dev 0034 0038 0038 0035 0035 00371st quartile 0041 0030 0033 0040 0041 0035Median 0050 0038 0043 0048 0049 00443st quartile 0061 0061 0060 0061 0062 0060Mark-up (L) Foreign banksAverage 0061 0050 0053 0059 0060 0054std-dev 0034 0033 0032 0034 0034 00321st quartile 0042 0031 0034 0041 0042 0036Median 0052 0040 0044 0051 0051 00453st quartile 0068 0059 0060 0066 0066 0061

Table 4 Estimates of returns to scale by control type and general

ModelState-owned

banksNational

banksForeignbanks

General std-dev Min Max

1 0944 0824 0842 0848 0073 0665 11242 0940 0829 0843 0851 0066 0690 10733 0938 0827 0842 0849 0066 0689 10764 0941 0824 0842 0848 0071 0671 11115 0942 0824 0841 0848 0072 0669 11136 0937 0829 0844 0850 0065 0692 1073

39

Appendix A Attachment Tables

Table A5 Cumulative change on Prudential Measures intensity

TimeCapitalBuffer 2

(cb)

CapitalReq(cr)

Loan-to-Value(ltv)

Reserve Reqlocal curr

(RR local)

Reserve Reqforeign cur

(RR foreign)

CumulativePrudential 3

(Cum Prud)2000q2 -1 0 0 0 -2 -32000q4 -1 0 0 0 -2 -32001q2 -1 0 0 0 -2 -32001q4 0 0 0 0 -1 -12002q2 0 0 0 0 0 02002q4 2 0 0 0 2 42003q2 0 0 0 0 3 32003q4 0 0 0 0 2 22004q2 0 0 0 0 2 22004q4 0 0 0 0 2 22005q2 0 0 0 0 2 22005q4 0 0 0 0 2 22006q2 0 0 0 0 2 22006q4 0 0 0 0 2 22007q2 2 0 0 0 2 42007q4 2 0 0 0 2 42008q2 2 0 0 0 2 42008q4 2 0 0 0 1 32009q2 2 0 0 0 0 22009q4 2 0 0 0 -1 12010q2 2 0 0 0 1 32010q4 3 0 0 0 3 62011q2 3 0 0 1 3 72011q4 4 0 0 2 3 92012q2 3 1 0 2 3 92012q4 3 1 0 1 2 72013q2 3 2 0 0 2 72013q4 3 2 1 0 2 82014q2 3 2 1 0 2 82014q4 2 2 1 0 3 82Sum of capital buffer and others 3Aggregate measure (It is the sum of the change of all other instrument)

40

Table A6 Estimates of Lerner index and return to scale by bank - Model (1)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0042 0082 0009 0940 0007 -85Banrisul S 0055 0041 0084 0009 0952 0008 -635BEC S 0048 0021 0077 0016 0844 0009 -1756BRB S 0058 0033 0100 0015 0961 0003 -1533BB S 0058 0039 0098 0012 0990 0006 -173Caixa Economica Federal S 0063 0051 0174 0022 1052 0004 1458B da Amazonia SA S 0057 0016 0124 0023 0844 0008 -2028B do Estado Do Para SA S 0061 0026 0110 0022 0936 0004 -1764B do Est do Maranhao SA S 0055 0046 0065 0006 0935 0014 -455B do Est do Piauı SA - Bep S 0057 0030 0155 0029 0862 0004 -326B do Estado De Sergipe SA S 0061 0024 0135 0022 0947 0004 -1453Nossa Caixa - N Banco SA S 0057 0036 0090 0013 0981 0004 -444Bradesco N 0056 0038 0114 0015 0925 0004 -1945Itau N 0059 0031 0220 0033 0901 0003 -3797Safra N 0053 0037 0085 0009 0885 0003 -4215Unibanco N 0055 0037 0088 0014 0897 0001 -7054Mercantil Do Brasil N 0057 0027 0077 0011 0945 0002 -2527BBM N 0076 0016 0300 0065 0783 0005 -4464BMC N 0052 0030 0079 0012 0845 0003 -4703BMG N 0065 0017 0208 0045 0779 0003 -729JMalucelli N 0047 0022 0069 0013 0718 0003 -8765PEBB N 0065 0017 0181 0047 0698 0008 -3914SS N 0057 0034 0220 0037 0799 0007 -2839Sofisa N 0054 0021 0092 0020 0804 0002 -9903BIC N 0060 0034 0236 0040 0855 0005 -276Schahin N 0056 0028 0214 0035 0835 0006 -262Stock N 0081 0020 0267 0067 0817 0006 -3107Pine N 0052 0022 0108 0019 0808 0004 -545Socopa N 0056 0027 0120 0017 0886 0003 -3806Intercap N 0060 0023 0212 0037 0812 0007 -2851Indusval N 0062 0030 0246 0043 0857 0005 -3139Bonsucesso N 0052 0020 0092 0018 0779 0005 -4033Industrial do Brasil N 0051 0031 0081 0016 0807 0002 -952Votorantim N 0052 0037 0107 0017 0819 0009 -2117Cacique N 0053 0024 0071 0014 0774 0005 -4621Inter Amex N 0055 0037 0068 0010 0837 0008 -2158Alfa N 0048 0041 0059 0005 0806 0002 -11303Rendimento N 0053 0022 0080 0012 0872 0008 -1562Bancoob N 0052 0046 0056 0003 0856 0003 -5061Original N 0085 0017 0279 0090 0729 0007 -4163Banco Intermedium SA N 0052 0028 0070 0015 0743 0006 -3973

Table A6 ndash Continue on next page

41

Table A6 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0225 0049 0761 0003 -7509Banco BBN SA N 0053 0027 0077 0014 0817 0012 -1509B Cooperativo Sicredi SA N 0052 0043 0062 0005 0875 0005 -2477B Cooperativo do Brasil SA N 0056 0046 0142 0020 0910 0006 -1479Banco Topazio SA N 0060 0035 0110 0027 0834 0006 -2966Banco Gerador SA N 0069 0045 0122 0028 0852 0008 -1968Banco Randon SA N 0109 0023 0320 0109 0783 0005 -4158Parana Banco SA N 0050 0026 0108 0020 0784 0008 -2799Banco Triangulo SA N 0055 0028 0091 0020 0833 0004 -4201Banco Guanabara SA N 0052 0024 0169 0025 0777 0004 -5588Banco Cedula SA N 0068 0012 0339 0061 0731 0003 -10236Banco Cacique SA N 0077 0028 0248 0077 0785 0016 -1309B Luso Brasileiro SA N 0065 0027 0208 0043 0849 0004 -349Banco Pecunia SA N 0047 0039 0060 0006 0770 0003 -7086Banco Zogbi SA N 0051 0038 0067 0011 0778 0001 -15193Banco Daycoval SA N 0054 0023 0131 0026 0783 0004 -5522B John Deere SA N 0059 0018 0133 0033 0756 0003 -7955Banco AJ Renner SA N 0053 0025 0081 0015 0827 0006 -2742ABN Amro F 0056 0039 0079 0014 0914 0002 -427Chase F 0068 0014 0228 0049 0790 0008 -2678LLoyds F 0053 0027 0064 0012 0825 0003 -5159BankBoston F 0057 0040 0099 0020 0902 0006 -1638Santander Brasil F 0057 0034 0097 0017 0890 0008 -146Citibank F 0059 0026 0153 0028 0875 0003 -4039BNL F 0055 0041 0097 0019 0840 0006 -2767Sudameris F 0056 0048 0065 0005 0966 0012 -297Societe Generale F 0060 0024 0153 0031 0826 0006 -299Europeu F 0054 0032 0073 0013 0848 0007 -2287ABC-Brasil F 0052 0025 0082 0014 0815 0003 -6207Dresdner F 0083 0017 0280 0074 0815 0006 -3234AGF Braseg F 0051 0031 0100 0016 0794 0004 -4923HSBC F 0057 0046 0092 0010 0971 0006 -466Deutsche F 0068 0013 0160 0036 0857 0004 -3335BNP Paribas F 0050 0037 0068 0007 0824 0005 -3665Barclays F 0052 0024 0089 0021 0771 0008 -2787Rabobank Int Brasil SA F 0058 0022 0166 0028 0842 0003 -5284B Nat de Paris Br SA F 0063 0023 0109 0033 0811 0006 -3331Ibibank SA - Banco Multiplo F 0059 0012 0106 0024 0781 0015 -1441Dresdner Bank - B Multiplo F 0086 0016 0244 0068 0768 0008 -2746Banco Westlb Do Brasil SA F 0064 0034 0108 0027 0839 0010 -1626Banco GE Capital SA F 0067 0032 0247 0047 0852 0010 -1527B Com Uruguai SA F 0072 0020 0192 0049 0830 0003 -52281S - State-owned bank N - National bank and F - Foreign bank

42

Table A7 Estimates of Lerner index and return to scale by bank - Model (2)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0049 0032 0085 0016 0944 0008 -716Banrisul S 0049 0032 0106 0017 0939 0008 -75BEC S 0032 0016 0046 0008 0860 0009 -1489BRB S 0049 0030 0112 0017 0961 0002 -1681BB S 0049 0032 0091 0016 0948 0006 -845Caixa Economica Federal S 0052 0034 0081 0014 1012 0003 382B da Amazonia SA S 0053 0015 0140 0028 0847 0008 -1922B do Estado Do Para SA S 0046 0029 0063 0009 0952 0005 -963B do Est do Maranhao SA S 0036 0029 0045 0005 0963 0016 -235B do Est do Piauı SA - Bep S 0036 0023 0071 0011 0888 0005 -2314B do Estado De Sergipe SA S 0050 0020 0155 0024 0962 0004 -1043Nossa Caixa - N Banco SA S 0039 0027 0074 0011 0972 0005 -601Bradesco N 0050 0028 0116 0023 0890 0004 -2618Itau N 0052 0024 0222 0037 0869 0003 -4269Safra N 0046 0028 0100 0017 0867 0003 -5042Unibanco N 0035 0028 0054 0007 0873 0001 -8511Mercantil Do Brasil N 0051 0029 0093 0019 0941 0002 -2837BBM N 0063 0012 0213 0048 0790 0005 -4494BMC N 0034 0023 0049 0007 0851 0003 -4266BMG N 0065 0015 0233 0057 0776 0004 -6135JMalucelli N 0052 0018 0080 0016 0720 0003 -9566PEBB N 0037 0014 0108 0025 0732 0009 -3086SS N 0056 0024 0236 0046 0797 0007 -2849Sofisa N 0052 0018 0107 0028 0808 0002 -8115BIC N 0057 0026 0259 0050 0850 0006 -2531Schahin N 0047 0022 0225 0041 0845 0007 -2359Stock N 0078 0017 0287 0071 0843 0006 -2782Pine N 0048 0018 0114 0023 0811 0004 -4973Socopa N 0050 0022 0136 0024 0908 0003 -3089Intercap N 0051 0019 0133 0031 0832 0006 -2759Indusval N 0061 0023 0267 0052 0866 0006 -2437Bonsucesso N 0050 0017 0109 0026 0791 0006 -3655Industrial do Brasil N 0044 0024 0079 0015 0816 0002 -8095Votorantim N 0048 0025 0120 0026 0807 0007 -2721Cacique N 0033 0020 0039 0006 0782 0005 -4597Inter Amex N 0035 0025 0045 0007 0844 0006 -2419Alfa N 0042 0029 0069 0013 0801 0002 -12139Rendimento N 0049 0019 0077 0015 0889 0008 -1394Bancoob N 0065 0057 0073 0006 0855 0003 -4199Original N 0099 0019 0299 0096 0732 0006 -4473Banco Intermedium SA N 0062 0032 0081 0019 0754 0006 -4393

Table A7 ndash Continue on next page

43

Table A7 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0059 0016 0239 0051 0778 0003 -6944Banco BBN SA N 0035 0020 0053 0009 0834 0011 -1466B Cooperativo Sicredi SA N 0045 0032 0070 0011 0881 0005 -2581B Cooperativo do Brasil SA N 0045 0029 0147 0025 0922 0006 -1274Banco Topazio SA N 0076 0043 0138 0038 0861 0005 -2569Banco Gerador SA N 0089 0054 0153 0037 0874 0008 -1645Banco Randon SA N 0122 0029 0335 0113 0803 0005 -388Parana Banco SA N 0033 0020 0062 0011 0800 0009 -234Banco Triangulo SA N 0052 0022 0105 0027 0841 0004 -4148Banco Guanabara SA N 0046 0019 0091 0020 0793 0004 -5561Banco Cedula SA N 0062 0011 0359 0067 0749 0003 -9911Banco Cacique SA N 0049 0020 0157 0048 0791 0016 -1315Banco Luso Brasileiro SA N 0066 0022 0241 0055 0870 0005 -2851Banco Pecunia SA N 0032 0027 0036 0003 0787 0003 -6876Banco Zogbi SA N 0032 0026 0037 0005 0784 0002 -13006Banco Daycoval SA N 0053 0019 0139 0036 0784 0004 -6065Banco John Deere SA N 0035 0016 0073 0016 0761 0003 -8278Banco AJ Renner SA N 0047 0021 0083 0015 0844 0006 -2553ABN Amro F 0035 0027 0047 0006 0889 0002 -7231Chase F 0054 0013 0157 0033 0804 0007 -2702LLoyds F 0033 0020 0043 0008 0821 0003 -5429BankBoston F 0036 0026 0060 0011 0888 0006 -1917Santander Brasil F 0055 0025 0115 0030 0864 0008 -1647Citibank F 0051 0020 0132 0025 0860 0003 -4735BNL F 0036 0026 0062 0012 0843 0005 -2959Sudameris F 0036 0031 0040 0004 0949 0011 -468Societe Generale F 0051 0018 0104 0024 0835 0007 -2454Europeu F 0034 0025 0041 0006 0859 0007 -2076ABC-Brasil F 0043 0026 0086 0015 0813 0003 -5797Dresdner F 0050 0014 0190 0046 0824 0004 -3975AGF Braseg F 0044 0024 0068 0014 0810 0005 -4109HSBC F 0052 0031 0110 0021 0948 0007 -776Deutsche F 0054 0012 0166 0030 0866 0005 -2754BNP Paribas F 0049 0028 0073 0013 0818 0004 -4092Barclays F 0065 0028 0121 0027 0811 0005 -4028Rabobank Int Brasil SA F 0047 0017 0102 0017 0845 0003 -4605B Nat de Paris Brasil SA F 0036 0017 0054 0013 0819 0005 -3304Ibibank SA - Banco Multiplo F 0043 0010 0114 0025 0782 0013 -1623Dresdner Bank - B Multiplo F 0096 0015 0270 0076 0785 0007 -2924Banco Westlb Do Brasil SA F 0041 0026 0062 0013 0853 0010 -154Banco GE Capital SA F 0054 0026 0253 0049 0862 0010 -1444B Com Uruguai SA F 0070 0017 0220 0058 0849 0003 -4471S - State-owned bank N - National bank and F - Foreign bank

44

Table A8 Estimates of Lerner index and return to scale by bank - Model (3)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0034 0090 0016 0941 0008 -772Banrisul S 0051 0032 0108 0016 0938 0008 -772BEC S 0035 0018 0051 0009 0856 0009 -1562BRB S 0052 0032 0122 0018 0958 0002 -1793BB S 0052 0035 0085 0015 0951 0006 -809Caixa Economica Federal S 0054 0039 0098 0014 1015 0003 465B da Amazonia SA S 0053 0014 0113 0024 0845 0008 -1977B do Estado Do Para SA S 0049 0028 0071 0010 0947 0005 -1117B do E do Maranhao SA S 0041 0032 0059 0008 0957 0015 -285B do E do Piauı SA - Bep S 0041 0028 0086 0014 0882 0005 -2518B do Estado De Sergipe SA S 0052 0021 0145 0022 0957 0004 -1182Nossa Caixa - N Banco SA S 0045 0029 0081 0015 0971 0005 -651Bradesco N 0052 0029 0101 0021 0893 0004 -2614Itau N 0054 0025 0203 0034 0872 0003 -4328Safra N 0048 0029 0093 0015 0869 0003 -5008Unibanco N 0041 0028 0067 0010 0874 0001 -8514Mercantil Do Brasil N 0053 0026 0095 0018 0939 0002 -29BBM N 0067 0013 0250 0056 0789 0005 -4501BMC N 0038 0024 0069 0010 0849 0003 -4408BMG N 0067 0015 0233 0058 0776 0004 -6374JMalucelli N 0052 0022 0087 0016 0720 0003 -9426PEBB N 0045 0014 0158 0040 0727 0009 -3192SS N 0057 0025 0231 0046 0797 0007 -287Sofisa N 0053 0018 0116 0026 0807 0002 -8444BIC N 0059 0030 0250 0049 0850 0006 -2596Schahin N 0048 0023 0220 0038 0842 0007 -2424Stock N 0083 0017 0304 0077 0838 0006 -2873Pine N 0049 0019 0105 0020 0810 0004 -5103Socopa N 0050 0026 0111 0018 0903 0003 -3253Intercap N 0055 0020 0196 0036 0828 0006 -283Indusval N 0062 0029 0282 0052 0863 0005 -2588Bonsucesso N 0051 0017 0118 0025 0789 0006 -3771Industrial do Brasil N 0046 0025 0086 0015 0815 0002 -8341Votorantim N 0050 0027 0128 0027 0809 0007 -2664Cacique N 0037 0020 0048 0009 0781 0005 -4645Inter Amex N 0039 0026 0058 0009 0842 0006 -2468Alfa N 0044 0031 0072 0011 0801 0002 -11998Rendimento N 0049 0022 0078 0011 0885 0008 -1463Bancoob N 0066 0057 0077 0007 0854 0003 -4342Original N 0102 0019 0301 0096 0730 0006 -4526Banco Intermedium SA N 0059 0027 0083 0020 0752 0006 -4354

Table A8 ndash Continue on next page

45

Table A8 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0017 0217 0054 0776 0003 -7084Banco BBN SA N 0038 0022 0058 0010 0831 0011 -1492B Cooperativo Sicredi SA N 0047 0035 0071 0010 0879 0005 -259B Cooperativo do Brasil SA N 0046 0035 0128 0020 0919 0006 -1339Banco Topazio SA N 0075 0036 0153 0041 0855 0005 -2657Banco Gerador SA N 0091 0057 0144 0034 0869 0008 -173Banco Randon SA N 0124 0029 0332 0112 0799 0005 -4023Parana Banco SA N 0036 0021 0071 0012 0797 0008 -2452Banco Triangulo SA N 0053 0023 0115 0027 0839 0004 -4256Banco Guanabara SA N 0047 0020 0100 0019 0790 0004 -561Banco Cedula SA N 0066 0012 0362 0068 0747 0003 -10082Banco Cacique SA N 0063 0026 0231 0074 0789 0016 -1336Banco Luso Brasileiro SA N 0066 0026 0249 0053 0865 0005 -2985Banco Pecunia SA N 0034 0029 0041 0004 0784 0003 -7038Banco Zogbi SA N 0036 0027 0046 0006 0782 0002 -13399Banco Daycoval SA N 0054 0019 0131 0034 0784 0004 -607Banco John Deere SA N 0039 0015 0083 0018 0761 0003 -8316Banco AJ Renner SA N 0049 0024 0073 0013 0840 0006 -2621ABN Amro F 0041 0030 0066 0009 0890 0002 -6866Chase F 0059 0013 0173 0039 0801 0007 -2733LLoyds F 0038 0021 0055 0010 0821 0003 -5484BankBoston F 0040 0028 0063 0012 0888 0006 -1931Santander Brasil F 0056 0028 0107 0027 0866 0008 -1663Citibank F 0052 0022 0123 0023 0860 0003 -4735BNL F 0039 0028 0063 0014 0841 0005 -2966Sudameris F 0041 0036 0052 0006 0948 0011 -473Societe Generale F 0052 0020 0103 0022 0833 0006 -2579Europeu F 0038 0030 0049 0007 0856 0007 -2153ABC-Brasil F 0046 0029 0079 0014 0813 0003 -5935Dresdner F 0055 0014 0212 0052 0822 0005 -3913AGF Braseg F 0046 0027 0071 0014 0806 0005 -4276HSBC F 0053 0032 0101 0019 0949 0007 -784Deutsche F 0058 0013 0141 0029 0863 0005 -2878BNP Paribas F 0051 0030 0074 0012 0818 0004 -4118Barclays F 0066 0025 0130 0030 0805 0005 -4123Rabobank Int Brasil SA F 0049 0019 0109 0018 0844 0003 -4752B Nat de Paris Brasil SA F 0041 0019 0069 0018 0817 0005 -3368Ibibank SA - Banco Multiplo F 0046 0010 0095 0021 0781 0014 -1617Dresdner Bank - B Multiplo F 0093 0017 0282 0072 0782 0008 -2899Banco Westlb Do Brasil SA F 0044 0027 0069 0015 0850 0009 -1591Banco GE Capital SA F 0055 0026 0249 0046 0859 0009 -1489B Com Uruguai SA F 0071 0017 0228 0056 0845 0003 -46241S - State-owned bank N - National bank and F - Foreign bank

46

Table A9 Estimates of Lerner index and return to scale by bank - Model (4)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0054 0041 0078 0011 0939 0007 -873Banrisul S 0055 0040 0106 0014 0948 0008 -692BEC S 0046 0020 0072 0014 0846 0009 -1746BRB S 0057 0032 0094 0016 0959 0002 -1673BB S 0057 0038 0095 0014 0981 0006 -33Caixa Economica Federal S 0061 0049 0165 0021 1042 0003 1249B da Amazonia SA S 0056 0015 0117 0022 0844 0008 -2047B do Estado Do Para SA S 0059 0025 0103 0020 0936 0004 -1701B do E Do Maranhao SA S 0052 0044 0062 0005 0936 0014 -448B do E Do Piauı SA - Bep S 0054 0029 0147 0028 0865 0004 -3201B do Estado De Sergipe SA S 0061 0023 0168 0026 0947 0004 -1484Nossa Caixa - N Banco SA S 0054 0035 0085 0012 0977 0004 -547Bradesco N 0056 0036 0107 0017 0919 0004 -2123Itau N 0058 0030 0212 0032 0896 0003 -3979Safra N 0052 0035 0107 0013 0882 0003 -445Unibanco N 0052 0035 0082 0013 0892 0001 -7446Mercantil Do Brasil N 0057 0027 0093 0015 0942 0002 -2687BBM N 0075 0015 0294 0064 0784 0005 -4512BMC N 0050 0029 0074 0011 0846 0003 -472BMG N 0065 0016 0202 0047 0779 0003 -7192JMalucelli N 0048 0022 0071 0014 0720 0003 -8923PEBB N 0061 0016 0172 0044 0704 0008 -382SS N 0056 0033 0213 0037 0799 0007 -2875Sofisa N 0053 0020 0087 0019 0805 0002 -9731BIC N 0061 0033 0269 0048 0854 0005 -2768Schahin N 0053 0027 0205 0034 0836 0006 -2627Stock N 0081 0020 0265 0068 0820 0006 -3122Pine N 0052 0022 0118 0021 0808 0004 -5467Socopa N 0054 0026 0114 0016 0888 0003 -3785Intercap N 0057 0023 0203 0035 0815 0006 -2877Indusval N 0062 0029 0239 0043 0857 0005 -3085Bonsucesso N 0052 0019 0088 0018 0782 0005 -403Industrial do Brasil N 0050 0030 0076 0015 0809 0002 -9427Votorantim N 0051 0036 0102 0017 0817 0008 -2222Cacique N 0050 0023 0067 0013 0776 0005 -4659Inter Amex N 0052 0035 0064 0009 0837 0007 -2226Alfa N 0048 0039 0071 0007 0805 0002 -11484Rendimento N 0052 0022 0076 0013 0874 0008 -1571Bancoob N 0057 0045 0071 0011 0855 0003 -5022Original N 0094 0017 0278 0090 0730 0006 -4242Banco Intermedium SA N 0049 0027 0065 0014 0746 0006 -4054

Table A9 ndash Continue on next page

47

Table A9 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0019 0220 0050 0764 0003 -7516Banco BBN SA N 0050 0027 0072 0013 0819 0012 -1529B Cooperativo Sicredi SA N 0051 0041 0068 0006 0875 0005 -2551B Cooperativo do Brasil SA N 0053 0044 0134 0018 0910 0006 -151Banco Topazio SA N 0066 0035 0128 0036 0837 0005 -2981Banco Gerador SA N 0082 0045 0157 0043 0854 0007 -1967Banco Randon SA N 0106 0026 0312 0105 0786 0005 -4204Parana Banco SA N 0048 0025 0102 0018 0787 0008 -2768Banco Triangulo SA N 0054 0027 0088 0021 0834 0004 -427Banco Guanabara SA N 0051 0023 0161 0025 0780 0004 -5659Banco Cedula SA N 0069 0012 0360 0065 0735 0003 -1028Banco Cacique SA N 0073 0027 0240 0075 0786 0016 -1327Banco Luso Brasileiro SA N 0065 0026 0242 0047 0852 0004 -346Banco Pecunia SA N 0045 0037 0056 0006 0773 0003 -7139Banco Zogbi SA N 0048 0036 0064 0010 0779 0001 -15057Banco Daycoval SA N 0055 0022 0126 0030 0784 0004 -568Banco John Deere SA N 0056 0018 0125 0031 0757 0003 -8084Banco AJ Renner SA N 0051 0025 0077 0013 0829 0006 -2763ABN Amro F 0053 0038 0074 0013 0909 0002 -4803Chase F 0066 0014 0220 0046 0793 0008 -2711LLoyds F 0050 0026 0060 0011 0825 0003 -5323BankBoston F 0054 0038 0092 0018 0899 0006 -1734Santander Brasil F 0056 0033 0098 0019 0885 0007 -1529Citibank F 0059 0025 0145 0030 0872 0003 -421BNL F 0052 0039 0091 0018 0840 0006 -2854Sudameris F 0053 0046 0062 0005 0961 0011 -352Societe Generale F 0058 0023 0144 0028 0827 0006 -2968Europeu F 0052 0031 0069 0012 0849 0007 -23ABC-Brasil F 0051 0028 0091 0015 0815 0003 -6225Dresdner F 0078 0017 0271 0071 0816 0005 -339AGF Braseg F 0050 0030 0094 0015 0797 0004 -4873HSBC F 0057 0045 0116 0016 0966 0006 -562Deutsche F 0066 0013 0151 0034 0858 0004 -3316BNP Paribas F 0050 0036 0071 0010 0823 0005 -3772Barclays F 0057 0024 0102 0025 0777 0007 -3003Rabobank Int Brasil SA F 0057 0021 0157 0026 0842 0003 -5266B Nat de Paris Brasil SA F 0059 0023 0102 0030 0812 0006 -3387Ibibank SA - Banco Multiplo F 0056 0012 0100 0023 0781 0015 -148Dresdner Bank - B Multiplo F 0084 0016 0237 0064 0771 0008 -2798Banco Westlb Do Brasil SA F 0061 0033 0101 0025 0841 0010 -1646Banco GE Capital SA F 0063 0031 0238 0044 0853 0010 -1548B Com Uruguai SA F 0074 0020 0226 0056 0833 0003 -51921S - State-owned bank N - National bank and F - Foreign bank

48

Table A10 Estimates of Lerner index and return to scale by bank - Model (5)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0043 0093 0012 0940 0007 -834Banrisul S 0054 0041 0083 0009 0949 0008 -668BEC S 0046 0020 0075 0014 0846 0009 -1719BRB S 0058 0032 0121 0017 0960 0002 -1607BB S 0056 0037 0087 0010 0981 0006 -321Caixa Economica Federal S 0061 0050 0156 0019 1044 0003 1282B da Amazonia SA S 0057 0016 0115 0023 0843 0008 -2023B do Estado Do Para SA S 0059 0027 0102 0020 0938 0004 -1608B do E Do Maranhao SA S 0052 0042 0064 0006 0939 0015 -418B do E Do Piauı SA - Bep S 0054 0029 0138 0025 0866 0004 -3097B do Estado De Sergipe SA S 0059 0024 0136 0020 0949 0004 -1404Nossa Caixa - N Banco SA S 0055 0036 0088 0013 0979 0004 -494Bradesco N 0056 0037 0108 0016 0918 0004 -2108Itau N 0058 0031 0213 0033 0894 0003 -3968Safra N 0052 0036 0086 0010 0881 0003 -4388Unibanco N 0053 0037 0085 0013 0892 0001 -7433Mercantil Do Brasil N 0057 0027 0086 0012 0943 0002 -2619BBM N 0075 0015 0292 0063 0784 0005 -447BMC N 0050 0029 0077 0012 0846 0003 -4648BMG N 0067 0017 0220 0051 0777 0003 -7116JMalucelli N 0049 0022 0083 0016 0718 0003 -8879PEBB N 0060 0017 0176 0044 0704 0008 -3743SS N 0059 0032 0223 0041 0798 0007 -2847Sofisa N 0055 0021 0112 0022 0804 0002 -9624BIC N 0060 0032 0238 0041 0853 0005 -2725Schahin N 0055 0028 0228 0038 0836 0006 -2575Stock N 0082 0019 0267 0068 0821 0006 -3063Pine N 0052 0022 0096 0018 0808 0004 -5392Socopa N 0055 0027 0113 0016 0889 0003 -3694Intercap N 0060 0023 0210 0037 0814 0006 -2856Indusval N 0062 0029 0245 0044 0857 0005 -3023Bonsucesso N 0053 0020 0113 0022 0781 0005 -3999Industrial do Brasil N 0051 0030 0084 0016 0808 0002 -9274Votorantim N 0052 0037 0130 0022 0816 0008 -2227Cacique N 0049 0024 0065 0012 0775 0005 -4632Inter Amex N 0052 0034 0067 0011 0837 0007 -2236Alfa N 0047 0041 0056 0004 0804 0002 -11448Rendimento N 0053 0022 0079 0011 0874 0008 -1549Bancoob N 0056 0050 0064 0005 0856 0003 -4874Original N 0087 0018 0288 0093 0728 0006 -4259Banco Intermedium SA N 0055 0027 0078 0019 0744 0006 -4047

Table A10 ndash Continue on next page

49

Table A10 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0217 0048 0763 0003 -7417Banco BBN SA N 0051 0026 0075 0014 0820 0012 -1504B Cooperativo Sicredi SA N 0051 0040 0061 0005 0876 0005 -2499B Cooperativo do Brasil SA N 0054 0043 0136 0019 0912 0006 -1445Banco Topazio SA N 0061 0034 0109 0026 0838 0006 -2897Banco Gerador SA N 0073 0052 0124 0026 0855 0008 -1918Banco Randon SA N 0120 0024 0327 0114 0785 0005 -4153Parana Banco SA N 0048 0026 0106 0020 0786 0008 -2732Banco Triangulo SA N 0055 0027 0111 0022 0834 0004 -4227Banco Guanabara SA N 0052 0024 0153 0024 0779 0004 -5589Banco Cedula SA N 0069 0012 0339 0062 0734 0003 -10232Banco Cacique SA N 0076 0027 0246 0076 0785 0016 -1317Banco Luso Brasileiro SA N 0067 0027 0207 0047 0852 0004 -3379Banco Pecunia SA N 0046 0038 0054 0006 0773 0003 -71Banco Zogbi SA N 0047 0037 0061 0010 0778 0001 -14931Banco Daycoval SA N 0054 0022 0126 0026 0782 0004 -5661Banco John Deere SA N 0056 0018 0129 0031 0756 0003 -8043Banco AJ Renner SA N 0053 0025 0080 0015 0829 0006 -2716ABN Amro F 0053 0038 0074 0012 0908 0002 -4751Chase F 0067 0014 0225 0047 0792 0008 -2693LLoyds F 0049 0025 0064 0012 0824 0003 -5227BankBoston F 0054 0037 0096 0020 0899 0006 -1701Santander Brasil F 0057 0033 0103 0019 0884 0008 -1511Citibank F 0059 0026 0154 0028 0871 0003 -4204BNL F 0052 0037 0097 0020 0840 0006 -28Sudameris F 0052 0045 0058 0005 0962 0011 -334Societe Generale F 0060 0023 0151 0031 0827 0006 -2924Europeu F 0050 0032 0066 0012 0849 0007 -2263ABC-Brasil F 0051 0025 0079 0014 0814 0003 -617Dresdner F 0080 0017 0276 0073 0816 0005 -3374AGF Braseg F 0050 0031 0093 0015 0796 0004 -4812HSBC F 0057 0043 0093 0011 0966 0006 -541Deutsche F 0066 0013 0155 0035 0858 0004 -3244BNP Paribas F 0050 0035 0067 0008 0822 0005 -3775Barclays F 0056 0024 0113 0025 0778 0007 -305Rabobank Int Brasil SA F 0057 0021 0163 0027 0842 0003 -5208B Nat de Paris Brasil SA F 0058 0022 0100 0029 0812 0006 -3343Ibibank SA - Banco Multiplo F 0057 0012 0099 0023 0780 0015 -1478Dresdner Bank - B Multiplo F 0087 0016 0244 0068 0770 0008 -2768Banco Westlb Do Brasil SA F 0063 0034 0106 0026 0841 0010 -1625Banco GE Capital SA F 0064 0032 0247 0046 0853 0010 -1522B Com Uruguai SA F 0073 0019 0191 0049 0833 0003 -50981S - State-owned bank N - National bank and F - Foreign bank

50

Table A11 Estimates of Lerner index and return to scale by bank - Model (6)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0036 0096 0015 0939 0007 -855Banrisul S 0050 0035 0098 0014 0938 0008 -82BEC S 0041 0019 0067 0012 0855 0009 -1644BRB S 0053 0029 0124 0018 0956 0002 -1996BB S 0051 0032 0088 0013 0954 0006 -807Caixa Economica Federal S 0054 0040 0094 0012 1014 0003 475B da Amazonia SA S 0053 0015 0103 0022 0846 0008 -205B do Estado Do Para SA S 0051 0028 0074 0013 0943 0004 -1319B do E Do Maranhao SA S 0041 0031 0059 0008 0950 0014 -346B do E Do Piauı SA - Bep S 0042 0028 0084 0012 0879 0004 -2727B do Estado De Sergipe SA S 0052 0022 0153 0022 0953 0003 -1377Nossa Caixa - N Banco SA S 0047 0032 0081 0014 0969 0004 -74Bradesco N 0052 0032 0097 0019 0898 0004 -2645Itau N 0054 0027 0190 0031 0877 0003 -4452Safra N 0049 0032 0100 0015 0872 0003 -5056Unibanco N 0043 0032 0067 0010 0878 0001 -8666Mercantil Do Brasil N 0053 0026 0087 0017 0938 0002 -3104BBM N 0066 0013 0251 0056 0792 0005 -4556BMC N 0041 0026 0069 0011 0850 0003 -4582BMG N 0067 0016 0228 0057 0781 0003 -6611JMalucelli N 0051 0022 0089 0017 0725 0003 -9344PEBB N 0046 0015 0157 0039 0728 0008 -3313SS N 0058 0025 0230 0046 0801 0007 -292Sofisa N 0053 0020 0119 0025 0809 0002 -8846BIC N 0060 0029 0262 0049 0852 0005 -2697Schahin N 0049 0025 0229 0040 0843 0006 -2523Stock N 0081 0017 0284 0072 0836 0005 -2986Pine N 0049 0021 0112 0019 0812 0004 -5267Socopa N 0050 0026 0095 0015 0900 0003 -3515Intercap N 0055 0021 0196 0035 0828 0006 -2899Indusval N 0061 0029 0262 0049 0863 0005 -2762Bonsucesso N 0052 0019 0123 0026 0791 0005 -3885Industrial do Brasil N 0046 0027 0088 0015 0816 0002 -8698Votorantim N 0051 0027 0139 0027 0813 0007 -262Cacique N 0039 0022 0050 0009 0784 0005 -4707Inter Amex N 0045 0027 0064 0012 0843 0006 -2493Alfa N 0044 0033 0068 0009 0805 0002 -12111Rendimento N 0050 0022 0073 0010 0883 0008 -1543Bancoob N 0066 0055 0072 0007 0856 0003 -4559Original N 0098 0020 0294 0094 0735 0006 -4509Banco Intermedium SA N 0057 0024 0085 0022 0756 0006 -4324

Table A11 ndash Continue on next page

51

Table A11 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0061 0017 0195 0048 0777 0003 -7233Banco BBN SA N 0042 0023 0059 0012 0831 0011 -1529B Cooperativo Sicredi SA N 0048 0035 0066 0009 0879 0005 -2672B Cooperativo do Brasil SA N 0046 0034 0119 0017 0917 0006 -1439Banco Topazio SA N 0070 0031 0129 0036 0853 0005 -2776Banco Gerador SA N 0086 0057 0148 0034 0867 0007 -1825Banco Randon SA N 0126 0028 0331 0114 0799 0005 -4136Parana Banco SA N 0039 0023 0082 0015 0798 0008 -2556Banco Triangulo SA N 0052 0025 0116 0025 0840 0004 -4363Banco Guanabara SA N 0048 0021 0100 0019 0792 0004 -5683Banco Cedula SA N 0067 0013 0356 0067 0749 0002 -10205Banco Cacique SA N 0067 0026 0232 0073 0792 0015 -1356Banco Luso Brasileiro SA N 0065 0025 0237 0052 0864 0004 -3163Banco Pecunia SA N 0037 0029 0045 0006 0786 0003 -7158Banco Zogbi SA N 0037 0027 0045 0007 0785 0002 -13921Banco Daycoval SA N 0053 0020 0120 0031 0787 0003 -6088Banco John Deere SA N 0043 0017 0099 0022 0764 0003 -8346Banco AJ Renner SA N 0050 0025 0080 0013 0840 0006 -2706ABN Amro F 0043 0035 0067 0008 0894 0002 -6685Chase F 0059 0014 0189 0040 0803 0007 -2772LLoyds F 0039 0021 0055 0012 0824 0003 -5536BankBoston F 0044 0029 0075 0015 0890 0006 -1965Santander Brasil F 0054 0028 0107 0024 0871 0008 -1694Citibank F 0054 0023 0133 0026 0863 0003 -4787BNL F 0042 0028 0078 0018 0843 0005 -2998Sudameris F 0041 0036 0052 0006 0948 0010 -491Societe Generale F 0054 0020 0118 0025 0834 0006 -2716Europeu F 0038 0029 0049 0008 0856 0006 -2239ABC-Brasil F 0046 0028 0084 0014 0816 0003 -6111Dresdner F 0063 0015 0239 0061 0823 0005 -3888AGF Braseg F 0047 0027 0074 0014 0807 0004 -4477HSBC F 0054 0032 0109 0018 0950 0006 -823Deutsche F 0058 0013 0122 0028 0863 0004 -305BNP Paribas F 0051 0032 0070 0011 0822 0004 -4145Barclays F 0064 0024 0128 0029 0802 0005 -4051Rabobank Int Brasil SA F 0051 0019 0130 0021 0846 0003 -4992B Nat de Paris Brasil SA F 0043 0019 0070 0019 0819 0005 -3429Ibibank SA - Banco Multiplo F 0049 0010 0083 0020 0785 0013 -161Dresdner Bank - B Multiplo F 0087 0016 0261 0066 0783 0007 -2901Banco Westlb Do Brasil SA F 0051 0030 0082 0019 0850 0009 -1643Banco GE Capital SA F 0053 0028 0239 0044 0859 0009 -1544B Com Uruguai SA F 0071 0017 0217 0054 0845 0003 -48451S - State-owned bank N - National bank and F - Foreign bank

52

Seacuterie de Textos para Discussatildeo do Curso de Ciecircncias Econocircmicas ndash FACEUFG ndash TD [078]

EDITORIAL FACE ndash Faculdade de Administraccedilatildeo Ciecircncias Contaacutebeis e Ciecircncias Econocircmicas Curso de Ciecircncias Econocircmicas Direccedilatildeo FACE Prof Moiseacutes Ferreira da Cunha Vice-Direccedilatildeo FACE Profordf Andreacutea Freire de Lucena Coordenaccedilatildeo do Curso de Ciecircncias Econocircmicas Prof Tiago Camarinha Lopes NEPEC ndash Nuacutecleo de Estudos e Pesquisas Econocircmicas Coordenaccedilatildeo Prof Seacutergio Fornazier Meyrelles Filho SEacuteRIE DE TEXTOS PARA DISCUSSAtildeO DO CURSO DE CIEcircNCIAS ECONOcircMICAS DA UFG Coordenaccedilatildeo e Equipe de Editoraccedilatildeo Prof Sandro Eduardo Monsueto Adriana Moura Guimaratildees Matheus Henrique de Arauacutejo Dutra

Endereccedilo Campus Samambaia Preacutedio da FACE ndash Rodovia GoiacircniaNova Veneza km 0 ndash CEP 74690-900 Goiacircnia ndash GO Tel (62) 3521 ndash 1390 URL httpwwwfaceufgbreconomia Publicaccedilatildeo cujo objetivo eacute divulgar resultados de estudos que contam com a participaccedilatildeo de pesquisadores do NEPEC As opiniotildees contidas nesta publicaccedilatildeo satildeo de inteira responsabilidade do(s) autor(es) natildeo representando necessariamente o ponto de vista do NEPEC ou da FACEUFG Eacute permitida a reproduccedilatildeo desde que citada a fonte

Page 7: 1(3(& )$&( 8)* · The Dark Side of Prudential MeasuresI Paulo R. Scalco a, Benjamin M. Tabak1, Anderson M. Teixeira aFaculty of Management, Accounting and Economics, Federal University

suggesting that the presence of policies such as limits on maximum loan value (LTV) limits of

indebtedness (DTI) limits of credit growth capital reserve requirements and dynamic rules

of provisioning are associated with reductions in the procyclicality of credit and leverage

Claessens et al (2013) investigate how the change in the individual balance sheets of

banks in 48 countries in the period 2000-2010 responds to specific changes in some macro-

legal measures Among the main results the authors show that the maximum limits of

LTV DTI and the maximum limits of foreign currency lending are effective in reducing the

growth of bank leverage and the price of assets

Aiyar et al (2014) show that in response to stricter capital requirements (capital re-

quirement) regulated banks reduce borrowing while unregulated banks may even increase

Gropp et al (2018) study the requirement for higher capital requirements Its results point

to a reduction in credit and a smaller search for capital to meet the new targets Auer

amp Ongena (2019) find that an additional capital requirement on real estate loans leads to

growth in the retail lending channel

In addition to this empirical evidence Cerutti et al (2017a) using an IMF survey cover-

ing the use of twelve macroprudential measures in 119 countries over the period 2000-2013

indicate that in general emerging countries use intensely such instruments Also instru-

ments such as LTV and others that limit the level of indebtedness are associated with the

decline in credit growth especially real estate lending

Other studies however focusing on a few prudential measures and for few countries also

stand out Igan amp Kang (2011) investigate only the effectiveness of LTV and DTI measures

in Korea Wong et al (2011) also use only the LTV and DTI measures to investigate the

behavior of real estate credit and real estate prices in Hong Kong Camors amp Peydro (2014)

investigate the effect of capital withdrawal in Uruguay in the year 2008 Aiyar et al (2014)

also investigate the capital requirement for UK banks and confirm a substantial effect on

the bank loan Finally more recently Altunbas et al (2018) direct the investigation of the

effectiveness of macroprudential measures for the risk behavior of banks

Overall this literature shows that for different countries samples and prudential mea-

sures there is a positive effect on systemic risk Countries that implement these measures

5

can reduce their lending growth to more sustainable levels and improve their financial sta-

bility However what is the costs of these measures Is there a trade-off in using such

measures We now discuss the market power and bank competition literature to assess the

second strand of the literature that helps us make our connection

In the competition-related literature in the banking industry research models and ap-

proaches generally have a limitation due to the structure and availability of data However

the model of Panzar amp Rosse (1987) - PR - is a standard method when one wants to evaluate

the degree of competition in the industry Only in Brazil we can cite the works of Belaisch

(2003) Araujo amp Jorge Neto (2007) Lucinda (2010) Tabak et al (2012) Silva Barbosa

et al (2015) Tabak amp Gomes (2015) and Cardoso et al (2016) In our investigation we

found only two other studies that did not use the PR model Nakane (2002) uses a structural

model as proposed by Bresnahan amp Reiss (1991) and Coelho et al (2013) use a bank entry

model developed by Bresnahan (1982) Internationally the literature is vast and Bikker

et al (2012) offers a comprehensive survey of the literature developed around the world

Most papers that use the PR H-statistic assume it has a monotonic relationship with

bank competition Panzar amp Rosse (1987) did not establish this monotonic relation between

H-Statistic and the degree of market competition The magnitude of the H-Statistic relates

to ranges of values that refer to the hypothesis underlying the market structure Thus it does

not represent a monotonic relationship with the degree of market power (Panzar amp Rosse

1987 Bikker et al 2012 Cardoso et al 2016) Another problem is that the hypotheses

underlying the equilibria of monopolistic and perfect competition in the PR model use

another extremely restrictive set of hypotheses An important one is that the observed data

is from firms that operate in long-term equilibrium Also the model is susceptible to the

variables used and the specification used in the estimation process of the model (Hyde amp

Perloff 1995) Bikker et al (2012) are more emphatic and argue that the H-Statistic does

not even have an ordinal function with the level of competition in the industry

Given that what the evidence suggests is that H-statistics is not a reliable measure of

the degree of market power in an industry At least not in a continuous sense or monotonic

of measure Hyde amp Perloff (1995) emphasize that although structural models have some

6

influence on the specifications of their functions they would still be the only models capable

of providing an estimate of the degree of market power

Given this context we will use a new class of models to measure the degree of market

power proposed by Kumbhakar et al (2012) and based on stochastic boundary analysis

techniques (SFA) The SFA models have several advantages when compared to the traditional

models of literature known as New Industrial Empirical Organization (NEIO) and allow

estimating in a single model a unified structure a mark-up measure and an indicator of

market power Also we can obtain measures of elasticity return to scale and efficiency

Among the main advantages of SFA models it is possible to emphasize the flexibility

and the low requirement of information for estimations of the models The method also

allows estimating market power with or without constant returns to scale and provides an

estimate of the degree of market power in the same style as the Lerner index (Lerner 1934)

thereby circumventing the critique of the use of H as a monotonic measure of the degree

of competition Another advantage of the method is that unlike most NEIO models this

measure of market power is not only an estimate of the average parameter of the competition

level of the industry but the method also allows estimating a measure of the degree of market

power per bank and over time In the same way it is possible to estimate the returns to

the banksrsquo scale Finally the SFA technique allows the parameter of market power to be a

function of deterministic variables

One of the pioneering works using SFA techniques in the banking industry is the work

of Coccorese (2014) In this article the author estimates the Lerner index for each bank

individually for a group of countries between 1994 and 2012 with the results being broadly

comparable with the traditional NEIO models More recently Das amp Kumbhakar (2016)

have also used this class of models to investigate the market power of Indian banks

We use this model to evaluate the effect of prudential measures on the bankrsquos market

power Combining an SFA method with data on prudential measures we can estimate these

effects We use prudential measures as explanatory variables for the market power parameter

that we estimate in the SFA

7

3 Empirical Method

31 Empirical Model

Our empirical model follows the models proposed by Coccorese (2014) and Das amp Kumb-

hakar (2016) However we incorporate the possibility that the mark-up has two components

a purely stochastic and a deterministic part The derivation of the model starts from the

equilibrium condition that for a profit-maximizing bank (P ) will be greater than or equal

to its Marginal Cost (MC)

P geMC (1)

The distance between P and MC determines the degree of market power of the bank

If we multiply both terms of the inequality in equation 1 by the ratio of the total product

(Y ) and the total cost (C) and considering that MC = partCpartY

we have

P middot YCge partC

partY

Y

C (2)

or

TR

Cge partlnC

partlnY (3)

Where TR corresponds to the total revenue and the relationship established in equation 3

states that in the same way as price deviates from its marginal cost the revenue-cost ratio

of the bank (TRC) detracts from its cost-elasticity

The inequality in equation 3 can be solved by adding a non-negative term u Thus

RC equiv TR

C=

partlnC

partlnY+ u u ge 0 (4)

RC is the observed revenue-cost ratio and partlnCpartlnY

is the cost-elasticity The non-negative

term u represents the mark-up of the bank however it can not be calculated using the

bankrsquos accounting data because the cost elasticity unlike RC must be calculated from a cost

8

function In addition the revenue-cost ratio can be affected by other unobserved variables

To accommodate this assumption we add a random error term iid v to equation 4

RC =partlnC

partlnY+ u+ v (5)

32 Primal Approach

As equation 5 has been defined we need to specify a cost function to estimate the term

u that is we are using a dual approach in the context of production theory Kumbhakar

et al (2012) show however that SFA models can use both the dual and primal approaches

to estimate market power In the dual approach the total cost of the bank depends on

the output quantity and input prices and the primal approach we can specify a produc-

tion function (or an input-distance function) where the output is a function of only input

quantities

This flexibility is essential because unlike many examples in the banking industry we do

not have information available on input prices When empirical models need this informa-

tion such as the PR model for example researchers circumvent this problem by estimating

input price estimates from accounting information such as the ratio between expenditure

and the amount of input used (expenditure on staff on total assets for example) The use

of this artifice however as highlighted by Kumbhakar et al (2012) can generate problems

in situations where the amount of input is endogenous

Thus like Das amp Kumbhakar (2016) we use the primal form as an alternative to the dual

form We start from the specification of a transformation function defined as Af(x Y T ) =

1 where f(middot) is a production function for a given technology Y is the quantity produced x

is the quantity vector of inputs used T is a trend variable capturing technological changes

and A is a parameter of neutral technological shift

Using a set of appropriate identification restrictions (Kumbhakar 2012) we can derive a

function input distance (IDF) from the transformation function given by xJ = Ah(x Y T )

or lnxJ = Ah(ln x lnY T ) where xj =xj

xJ j = 1 2 J minus 1 The IDF uses the normal-

ization that f(x Y T ) is homogeneous of degree minus1 iesum

jpartlnfpartlnxj

= minus1

9

Assuming that banks minimize the cost subject to technology specified by the production

function the Lagrangian for the minimization can be defined as

L = wrsquox + λ(Af(x Y T )minus 1) (6)

where w is a vector of input prices and the corresponding first order condition is

wj = minusλApartf(middot)partxj

j = 1 2 J (7)

Multiplying and dividing both sides by xj and f(middot) and rearranging terms we can

rewrite 7 as

wjxj = minusλAf(middot)partf(middot)partxj

xjf(middot)

= minusλAf(middot)partlnf(middot)partlnxj

j = 1 2 J (8)

If we take the sum of all inputs equation 8 becomes

C =Jsum

j=1

wjxj = minusλAf(middot)Jsum

j=1

partlnf(middot)partlnxj

rArr minusλA =C

f(middot)middot 1sumJ

j=1partlnf(middot)partlnxj

(9)

From the envelop Theorem we have that the marginal cost (MC) is partLpartYequiv MC =

λApartf(middot)partY

= 0

If we use equation 9 we can express it as

MC = minus C

f(middot)middot 1sumJ

j=1partlnf(middot)partlnxj

middot partf(middot)partY

partC

party

Y

Cequiv partlnC

partlny= minuspartf(middot)

partY

Y

f(middot)middot 1sumJ

j=1partlnf(middot)partlnxj

EC equivpartlnC

partlny= minuspartlnf(middot)

partlnYmiddot 1sumJ

j=1partlnf(middot)partlnxj

=partlnf(middot)partlnY

equiv EY (10)

Equation 10 states that the Cost Elasticity (EC) equals Product elasticity (EY ) which

can be calculated from the parameters of the distance input function (IDF) This result

10

is important because it means that we can substitute the term on the right side of the

equation 5 by product elasticity that is

RC =partlnf(middot)partlny

+ u+ v u ge 0 (11)

The advantage of estimating equation 11 rather than equation 5 is that we can estimate

mark-ups without the need for input and output prices that is we only need the information

on revenue and total cost of banks and the respective input quantities

In order to estimate the mark-up defined in equation 11 we assume that the transforma-

tion function takes a form of the translog type and apply the appropriate normalizations as

in Kumbhakar (2012) to express the transformation function in the form of an input input

function given by

lnx1 = α0 +Jminus1sumj=1

αjlnxj +1

2

Jminus1sumj=1

Jsumk=2

αjklnxjlnxk

+ αY lnY +1

2αY Y (lnY )2 +

Jminus1sumj=1

αjY lnxjlnY+ + αTT +1

2αTTT

2

+Jminus1sumj=1

αjT lnxjT + αY TT lnY

(12)

from which we can derive the product-elasticity as

EY equivpartlnx1partlnY

= αY + αY Y lnY +Jminus1sumj=1

αjY lnxj + αY TT (13)

where xj =xj

xJ j = 1 2 J minus 1

Replacing equation 13 in equation 11 we define our empirical equation as

RC = αY + αY Y lnY +Jminus1sumj=1

αjY lnxj + αY TT + u+ v (14)

As highlighted by Kumbhakar et al (2012) once that we are interested in estimating

the individual mark-up of each bank we need to focus only on 14 without the need to

11

estimate the full distance input function defined by 12 Besides since the compound error

term (ε = u + v) is the same in the SFA models we use the Maximum Likelihood method

to estimate the model (14) For this it is necessary to assume a hypothesis about the

distribution of the two components

We follow the literature and assume that the random error component v is independent

and identically distributed with a normal distribution zero mean and constant variance

that is v sim N(0 σ2v) On the other hand for the nonnegative component u representing

the banksrsquo mark-up we extend the models of by Coccorese (2014) and Das amp Kumbhakar

(2016) and separating the deviation from the competitive frontier in a deterministic part

which is a function of a vector of explanatory variables Zrsquo of the purely stochastic part

Following the SFA literature we estimate the deterministic component of mark-up si-

multaneously with the parameters of the 14 in the same way as Lopez et al (2018) This

procedure reduces possibility of bias of the estimates when the stochastic term includes

determinants of deviations Thus the mark-up (u) in 14 can be represented by

u = Zrsquoδ + ω (15)

where ω is the stochastic component of mark-up and is defined by a truncated normal

distribution with zero mean and constant variance σ2ω such that ω ge -Zrsquoδ Therefore the

mark-up (u) follows a distribution u sim N+(Zrsquoδ σ2ω)

Combining equations 14 and 15 the model we estimate is as follows

RC = αY + αY Y lnY +Jminus1sumj=1

αjY lnxj + αY TT + Zrsquoδ + ωit + v (16)

In order to verify the impact of prudential measures on the degree of competition we

have included the measures Cerutti et al (2016) as determinants of mark-up in addition to

a measure of concentration represented by the HHI calculated from the total assets of the

banks

12

33 Market Power

To measure the degree of power of each bank we use the traditional measure defined by

Lerner (1934)

L =P minusMC

P (17)

if L = 0 P = MC and for any value L gt 0 P gt MC In the limit L = 1

The connection between the SFA model (equation 16) and the Lerner index is done

rearranging the equation 5 Omitting the error term (v) for simplification we can rewrite

equation 5 as

P middot YC

partlnY

partlnCminus 1 = u

partlnY

partlnCmiddot (18)

Considering that partlnYpartlnC

= (partYpartC

)(CY

) we have

P minusMC

MC=

u

EC

middot (19)

Equation 19 corresponds to an alternative definition of mark-up called θ where the

distance between price and marginal cost is expressed as a fraction of the latter In addition

since the function input distance is dual the cost function we can substitute EC for EY in

equation 19 and after estimating equation 16 and obtain estimates of the mark-up (u) the

estimation of market power can be obtained by replacing the values estimated in equation 19

as follow

θ equiv P minusMC

MC=

u

αY + αY Y lnY +sumJminus1

j=1 αjY ln xj + αY TT (20)

This estimate can be used to obtain the traditional measure of Lerner index as in

equation 16 employing the following formula

L =θ

1 + θ (21)

13

34 Returns to Scale

Finally we can use the estimates of equation 16 to obtain other characteristics of tech-

nology such as the return to scale and the scale bias Formally EC = partlnCpartlnY

= (partCpartY

)(YC) =

MCAC where AC represents the average cost This means that the return to scale is

inversely related to cost elasticity that is RTS = 1EC If EC = 1 we will have constant re-

turns to scale if EC lt 1 we will have increasing returns (economies of scale) and if (EC gt 1)

we will have decreasing returns (diseconomies of scale) Again using the duality condition

between IDF and the cost function we can use the estimates of equation 16 to calculate the

return to scale and scale bias Respectively

RTS =1

αY + αY Y lnY +sumJminus1

j=1 αjY ln xj + αY TT(22)

and

Scale Bias = αY T (23)

If the scale bias parameter (αY T ) is statistically significant and greater than zero this

suggests that technological change is reducing economies of scale over time

4 Database and empirical approach

The database used can be divided into two parts The first part includes the information

of all FI authorized to operate in Brazil by the Brazilian Central Bank (BCB) This infor-

mation is available on the BCBrsquos website through the IFdata system and contains detailed

information on the balance sheet income statement and credit portfolio of all IFs In ad-

dition data are available on an individual basis as well as on financial conglomerates and

prudential conglomerates1 For this work we use the concept of financial conglomerates In

1The BCB defines as a financial conglomerate the group of financial entities directly or unrelated byshareholding or by effective operational control characterized by standard management or by operatingin the market under the same brand or commercial name (Circular note no 1273 from Brazilian CentralBank) The concept of a prudential conglomerate in turn encompasses a broader universe of entities suchas consortium administrators payment institutions and companies that purchase credit operations (Officedocument no 1273 from Brazilian Central Bank)

14

December 2018 there was information on a total of 2753 IFs between commercial banks

or multiple banks with and without commercial portfolios credit cooperatives development

banks among others arranged quarterly since the first quarter of 2000

Our sample was restricted only to commercial banks or multiple banks with commercial

portfolios and savings banks Banks with loan portfolio equal zero and did not contain

information for at least three consecutive years were excluded In the same way we excluded

banks with observations that fell bellow 1st percentile of the sample for each one of variables

used in the model or above 99th percentile only for the dependent variable RC = TRC

Furthermore we chose to work with the data on a semi-annual basis (June and December

base dates) because inconsistencies we have found in some quarterly accounting data After

applying all these criteria our sample was restricted to a panel with only 83 banks between

the first half of 2000 and the second half of 2014 totaling 1818 observations2 In terms

of representativeness our sample with only 83 banks corresponded to 794 of the total

assets and 817 of the credit portfolio of the entire SFN in December 2014

The second database was obtained from Cerutti et al (2016) In this unprecedented

database the focus is on the change and intensity in the use of a set of prudential instruments

classified as micro-prudential and macro-prudential3 They collect the data for 64 countries

with a quarterly period covering the period between the first quarter of 2000 and the fourth

quarter of 2014 In the database in addition to a considerable number of countries the

information collected by the authors has the objective of mapping the intensity and the

change occurring quarterly in each of the prudential instruments

The original instruments of the database are the capital requirement capital buffer

interbank exposure limit concentration limit maximum loan amount commonly known as

Loan-to-value and reserve requirement

Concerning the capital requirement instrument we can understand it as an imposition

2Although the BCB has information until the second half of 2018 the database with prudential variablesavailable in the article by Cerutti et al (2016) goes only until the second half of 2014

3The database of Cerutti et al (2016) is a considerable advance to the available prudential data collectedso far in Lim et al (2011) and Cerutti et al (2017a) In both studies the focus is on only identifying whetheror not the country has implemented the appropriate prudential instrument

15

for a compulsory deposit with the BCB of demand deposits of financial institutions Capital

buffer serves as a buffer against countercyclical capital whose purpose is to protect the

banking sector in periods of excessive credit growth which is associated with increased

systemic risk On the other hand in periods of credit constraint the buffering capital may

decrease and thus not affecting the performance of the real side of the economy

The interbank exposure limit is a liability limiter maintained by the banking sector as a

whole or by a particular bank By the concentration limit we mean a procedure that limits

the fraction of assets concentrated to a limited number of borrowers

Loan-to-value is a restriction to the borrower or activity It is the imposition of maximum

amounts of loans on the value of collateral or even maximum amounts of indebtedness to the

income of the borrower Finally we can interpret a reserve requirement as an instrument

whose purpose is to limit the multiplication of money in the economy through the imposition

of compulsory deposits with the Central Bank

The prudential capital buffer instrument was broken down into the following categories

general capital requirement real estate credit consumer credit and others We decompose

the reserve requirement instrument into two sub-indices local domestic currency and foreign

currency

Information on intensity and change in prudential tooling is collected as follows by the

researchers If the financial regulator tightens the instrument in question in a specific quarter

the index assumes a value of +1 On the other hand if the same instrument undergoes

relaxation or loosening the value of minus1

Finally the index receives a value of zero if there was no change in the prudential

instrument in that quarter4 According to Cerutti et al (2016) in addition to capturing the

intensity of change in such a prudential policy this type of coding incorporates qualitative

characteristics of the policy that are lost by the type of dichotomous coding (1 if implemented

and 0 otherwise) Despite the simplicity of the coding used it is imperfectly able to measure

direction in policy change Not all the instruments available on the original basis were used

4For more details on how the base was built see Cerutti et al (2016)

16

because some measures were not implemented by the BCB Examples are the capital buffer

for real estate credit the concentration limit of banks to sectors or borrowers and the limit

on interbank exposure

Moreover due to the low variability in most measures and the semi-annual structure

of the database obtained in the BCB we chose to use the cumulative indexes of variation

According to Cerutti et al (2016) the purpose of this cumulative index is to capture the

level of tightness or looseness over a given period Finally to capture an overall measure of

prudential instruments we aggregate all variations of prudential instruments into a single

aggregate instrument called cumulative prudential Table A5 attached illustrates the

change and the intensity of the prudential instruments implemented by Brazil according to

the data collected by Cerutti et al (2016)

Our empirical strategy consists in estimating the equation 16 by Maximum Likelihood in

a two-stage procedure wherein the first stage we obtain the estimates of the parameters of

the equation and in the second stage we calculate the estimates of uit using the conditional

mean estimator of Jondrow et al (1982)

After obtaining the estimates of u and RC equiv EY we use equation 20 to calculate the

estimated values of θ which are used to calculat e the Lerner Index (L) according to

equation 21

We estimated six models wif different sets of deterministic variables (prudential measures)

to control the parameter of market power (uit) In the first model we did not add any

controls In the second we include only the HHI In the third specification we include the

capital buffer and capital requirement The fourth model uses only the loan-to-value In the

fifth model we include reserve requirements in both foreign and local currency and in the

last model we include the cumulative prudential measure which is the sum of the changes

in all other prudential measures

The inclusion of prudential variables in a separated way was necessary because they

represent only the tightening or the loosening of the prudential instrument Therefore they

do not represent the change in the magnitude of the prudential instrument As such the

variables have little variability and the high correlation generated between them causes

17

severe problems in the estimation process by maximum likelihood In general the tests with

the aggregate models did not reach the convergence of likelihood function even using different

strategies for initial values or optimization algorithm and when the optimization reaches an

optimal state the estimates were inconsistent For this reason we chose to estimate simpler

models including prudential variables separately or at most two when they represented

similar measures

Besides two critical events occurred in the second half of 2008 and significantly changed

the structure and dynamics of the banking industry in Brazil The outbreak of the subprime

crisis in the US and the acquisition of Unibanco by Itau in Brazil5 Itau-Unibanco has become

the largest bank in Brazil (Itau-Unibanco) accounting for 191 of total SFN assets and

184 of the total loan portfolio in the second half of 2008

We can observe the increase in market concentration in Figure 1 which represents HHI

concentration indices for total assets and total credit portfolio The increase in concentra-

tion levels of the banking industry on the other hand also coincides temporarily with the

outbreak of the GFC and an increase in rigidity in prudential instruments after the onset of

the crisis6

These events result in a high correlation between the variables and making it more

difficult to isolate the effects of each variable on the parameter of market power In this

way we also chose to estimate an HHI-only model as the control variable of market power

(uit)

Figure 1 Evolution of the Herfindahl Index (HHI) over time using credit and total assets

for the Brazilian banking system

We summarize the description of the variables that we will use in the estimation of

5Unibanco was the sixth largest Brazilian bank in the first half of 2008 accounting for 59 of total SFNassets and 6 of the total loan portfolio Also Itau was the third largest bank with 118 of SFN and119 of the loan portfolio

6Cubillas amp Suarez (2018) find the same result as the banksrsquo market power increased shortly after theGFC

18

equation 16 and how we calculate them in Table 1 All variables included in equation 16

except for trend prudential variables an HHI are in the logarithms form

Table 1 Variables used to IDF estimatation

5 Empirical Results

We present the results of the models in Table 2 Initially focusing on the interpretation

of the parameters of the input-distance function we verified that the size of the IF credit

portfolio (lnY ) has a negative sign but it was significant only for models 1 4 and 5 This

result implies that the larger the portfolio size the lower the revenue-cost ratio of the FI

Table 2 Results of IDF estimation

The coefficients of Staff costs (lnx1) and volume of funding (lnx2) were also negative

and significant in all models Thus the higher the staff costs and the higher the funding

volume the lower the cost-to-cost ratio of the FIs The trend variable as established by

equation 23 represents the scale bias and the negative sign would indicate that technological

change would increase economies of scale over time however no estimate was significant

51 Impact of Prudential Measures on Mark-up

The evaluation of the variables that determine the mark-up parameter (u) shows that

all of them are statistically significant and positive The SFA model is not linear in these

parameters Therefore the value of the coefficients does not represent the effect of the

magnitude of changes in the variables on the mark-up (their elasticities) However we can

estimate their marginal effects We present them for each variable in Figure 2

19

Figure 2 Marginal effects of HHI and prudential instruments (Capital Buffer Capital

RequirementLTV Reserve Requirement (Foreign) Reserve Requirement (domestic) and

cumulative prud) on themark-upucomponent

The positive sign of HHI in model 2 means that the more concentrated the banking

industry is the higher the market power of FIs This result is in line with that established by

the traditional structure-conduct-performance paradigm (Schmalensee 1989) However as

can be seen in Figure 1 the increase in the concentration index coincides with the tightening

of the prudential measures stemming from the GFC In this sense we can not say whether

this is the real effect of the increase in market concentration on the market power of FIs or

whether it is affected by the tightening of prudential measures

If we focus on prudential instruments the results for capital buffers and the capital

requirement (model 3) indicate that a tightening in these variables - whose purpose is to

increase banksrsquo capital reserve during positive shocks in the economy - has a detrimental

effect on competition market since they raise the IF mark-ups This effect happens because

this prudential measure influences the smoothing of the credit supply cycle

The same results are present for the loan-to-value variable (model 4) In general this

measure sets limits on the leverage of mortgages and other securities and a tightening in

ltv is effective in controlling possible booms in the real estate market by reducing real estate

prices and ultimately reducing the excess volatility of the economy ((Zhang amp Zoli 2016

Ely et al 2019) According to the result found the higher the limits the greater the market

power of the FIs

With respect to reserve requirements both in foreign and local currency - credit limits

directly in foreign currency and domestic currency respectively - the results (model 5) also

demonstrate a detrimental effect on competition since the tightening in such measures also

implies an increase mark-up of IFs In the model 6 where we introduce the aggregate

prudential measure the result found is similar to the others that is the higher the tightness

(in general) in the prudential measures of the financial system the higher the market power

of FIs

20

Unfortunately since prudential variables represent only a measure of tightening or loos-

ening of prudential policy and not its magnitude we can not accurately assess the impact

of these variables on the mark-up The marginal effects represented in Figure 2 give us only

an idea of how such variables affected the estimated mark-ups

However in general we can say that the positive signs of the estimates mean that the

higher the tightness in these prudential policies the greater the mark-up and consequently

the higher the market power of the FIs Therefore we find a perverse effect on industry

competition and probably a loss of borrowers welfare

Our results are in accordance with the evidence that the increase in prudential rigor has

negative impacts mainly on the supply of credit (Lim et al 2011 Claessens 2015 Aiyar

et al 2014 Gropp et al 2018 Cerutti et al 2017a) Ceteris paribus the increase of IF

mark-ups would be a fully expected effect As highlighted by Claessens amp Laeven (2004) any

policy that restricts the activity of banks and hinders their operation has negative impacts

on market competition

52 Estimation of Lerner indices

Regarding the mark-up estimation the values reported at the bottom of Table 2 corre-

spond to the distance between the observed revenue-cost ratio and its competitive boundary

that is the component u

To interpret the mark-up however we will focus the discussion on the estimates of

Lerner index (equation 21) because they have a more unambiguous economic meaning We

summarize the results of Lerner index for general estimates by type of control and for each

model in Table 3 and the Figure 3 shows their frequency distributions We should emphasize

that these estimates are individuals that is we obtain the estimates for each IF and at each

period t The tables in Annex (A6 to A11) summarizes the estimates of the Lerner index

and the returns to scale for each IF in the sample

Table 3 Estimates of Lerner index general and by type of control

21

Figure 3 Frequency distribution of Lerner indexes for each model and density estimation

Kernel by typeof control

For all six models all mark-up estimates were within the theoretical range of 0 and 1

with the minimum value being 0009 (model 2) and the maximum value 0362 (model 3) In

general the estimated average value was between 0051 (model 2) and 0058 (models 1 and

5) which means that on average Brazilian banks have a mark-up between 51 and 58

These values are slightly different when we separate the estimates by type of control

In the case of state-owned banks the average mark-up was between 0047 (model 2)

and 0057 (model 1) These values are lower in all the estimated models to the values

of (privates) national banks (0052-0057) and foreign banks (0050-0061) However the

medians of estimated values for state-owned banks were higher than the national and foreign

private banks in all models

For comparison purposes these values are considerably lower than the value (016) esti-

mated for Brazil in Coccorese (2014) We believe that this difference is due to the model and

sample used Coccorese (2014) has estimated the dual version of model (equation 5) and

as highlighted by Kumbhakar et al (2012) the use of accounting information to calculate

input prices can generate problems when they are endogenous

Regarding the sample Coccorese (2014) also used a different period from ours (1994 to

2012) and a more significant number of IFs in the sample (189 against 83 used by us) The

main difference here is in the number of IF - 106 in total In this respect it is essential to

note that these FIs constitute small FIs and in the second half of 2014 they held only 37

of total SFN assets and 24 of the total credit portfolio

We tried to replicated the Coccoresersquo sample but in preliminary tests we have found great

difficulties in the models estimations in particular at convergence of likelihood function

We observed these small IFs had in several situations extremely high values for the revenue-

cost ratio or excessively low for the inputs used (personnel expenses and funding) as well

as other problems such as launch errors (positive values in variables of expenditure for

example) and missings For these reasons and considering that such IFs represented only a

22

small fraction of Brazilian credit market we decided to exclude them from the sample

However It is worth highlight as they are small FIs the vast majority operate in particular

segments of the credit market and probably assume a more risk-taking behavior Considering

that they will work with a segment of credit claimants with rdquoworse scoresrdquo than borrowers

using large FIs we expect that the mark-up of these IFs will be higher We can observe

(part of) this phenomenon in Figure 4 where we represent the estimates of the Lerner index

(vertical axis) against market share of total assets (horizontal axis) of our sample and it is

quite evident the smaller banks have the higher mark-ups Therefore as our sample exclude

a large proportion of these small IFs it is natural that Coccorese (2014)rsquo results larger than

ours

Figure 4 Lerner indexes according to the size (market share) of banksrsquo assets

Regardless of this our results seem to adhere well to reality because if we look at Figure

5 we note that the Lerner indices show a significant increase from the second semester of

2008 These results are in agreement with the results of Cubillas amp Suarez (2018) Besides

in Figure 6 Lerner indexes are separated by type of control and we can observe that with

some exceptions the market power has always been lower for state-owned banks especially

considering the period after the GFC

Figure 5 Average Lerner indices for each model between 2000q2 and 2014q4

Figure 6 Average Lerner indices estimated for public private national and private

foreign banks between2000q2 and 2014q4

23

53 Estimation of Returns to Scale

Finally Table 4 and Figure 7 summarize the estimates of returns to scale We highlight

that the average of the returns to the scale of the Brazilian FIs is very close if we comparer

the six estimated models (between 0848 and 0851) Although the values are close to unity

in all IFs we reject the hypotheses of constant returns to the scale that is RTS = 1 therefore

IFs have diseconomies of scale

Table 4 Estimates of returns to scale by control type and general

When we separate estimates by type of control the estimates of state-owned banks

(0937-0944) are higher than national (0824-0829) and foreign banks (0841-0844) This

result means that the scale problem is a problem common to all FIs in Brazil Moreover

state-owned banks runs closer to the constant return region than national and foreign banks

Figure 7 Frequency distribution of the returns to scale indexes for each model and

density estimationKernel by type of control

6 Final Considerations

Considering that the banking industry underwent a significant restructuring in recent

years caused by several mergers and acquisitions in the sector as well as by a severe financial

crisis started in mid 2007 and potentialized in 2008 understand the behavior of market

power and as a (partial) set of prudential instruments influencing this dynamic has become

paramount Thus in an innovative way this paper proposed the use of stochastic frontier

analysis techniques to measure market power for the Brazilian banking industry and to test

if such prudential measures had an impact on the competitive dynamics of sector

The estimated average Lerner index was between 51 and 58 for Brazilian FIs How-

ever when controlled by the type of control we find that state-owned banks have slightly

24

lower estimates than national and foreign banks respectively Also estimates of returns to

scale allow us to infer that FIs operate with diseconomies of scale

Concerning the impact of prudential measures on the market power of FIs our results

generally suggest that tightening of prudential measures have a positive impact on bank

mark-up and consequently have detrimental effects on competition in industry banking

Finally in future research it will be possible to better understand the influence of some

prudential measures in the banking market through the study by type of segment or line of

credit

25

References

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idence from a uk policy experiment Journal of Money Credit and Banking 46 181ndash214

URL httpsonlinelibrarywileycomdoiabs101111jmcb12086 doi101111jmcb12086

arXivhttpsonlinelibrarywileycomdoipdf101111jmcb12086

Altunbas Y Binici M amp Gambacorta L (2018) Macroprudential policy and bank risk Journal of

International Money and Finance 81 203ndash220 doihttpsdoiorg101016jjimonfin201711

012

Araujo L A D d amp Jorge Neto P d M (2007) Risco e competicao bancaria no Brasil Revista Brasileira

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S0034-71402007000200003amplng=enampnrm=isoamptlng=pt doi101590S0034-71402007000200003

Auer R amp Ongena S (2019) The countercyclical capital buffer and the composition of bank lending

Available at SSRN 3345189

Ayyagari M Beck T amp Peria M (2018) The micro impact of macroprudential policies Firm-level

evidence IMF Working Paper

Barbosa K de Paula Rocha B amp Salazar F (2015) Assessing competition in the banking indus-

try A multi-product approach Journal of Banking amp Finance 50 340ndash362 URL httpwww

sciencedirectcomsciencearticlepiiS0378426614001642 doi101016jjbankfin201405

003

Belaisch A (2003) Do Brazilian Banks Compete SSRN Scholarly Paper ID 879189 Social Science Research

Network Rochester NY URL httpspapersssrncomabstract=879189

Bikker J A Shaffer S amp Spierdijk L K (2012) Assessing competition with the panzar-rosse model

The role of scale costs and equilibrium Economics Letters 94 1025ndash1044

Bresnahan T F (1982) The oligopoly solution concept is identified Economics Letters 10 87ndash92 URL

httpdxdoiorg1010160165-1765(82)90121-5 doi1010160165-1765(82)90121-5

Bresnahan T F amp Reiss P (1991) Entry and competition in concentrated markets Journal of Political

Economy 99 977ndash1009

Camors C amp Peydro J (2014) Macroprudential and monetary policy Loan-level evidence from reserve

requirement Mimeo Universitat Pompeu Fabra URL httpspdfssemanticscholarorgd508

61639bb4e7453a7a39184edf9b0c1e7016a6pdf

Cardoso M Azevedo P F amp Barbosa K (2016) Concorrencia no setor bancario brasileiro bancos

individuais versus conglomerados bancarios (pp 113ndash146) URL httprepositorioipeagovbr

handle110586650

Cerutti E Claessens S amp Laeven L (2017a) The use and effectiveness of macroprudential policies New

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004

Cerutti E Correa R Fiorentino E amp Segalla E (2016) Changes in prudential policy instruments ndash a

new cross-country database IMF Working Paper WP1610

Cerutti E Dagher J amp DellrsquoAriccia G (2017b) Housing finance and real-estate booms A cross-country

perspective Journal of Housing Economics 38 1ndash13

Claessens S (2015) An overview of macroprudential policy tools Annual Re-

view of Financial Economics 7 397ndash422 URL httpsdoiorg101146

annurev-financial-111914-041807 doi101146annurev-financial-111914-041807

arXivhttpsdoiorg101146annurev-financial-111914-041807

Claessens S Ghosh S R amp Mihet R (2013) Macro-prudential policies to mitigate financial system

vulnerabilities Journal of International Money and Finance 39 153ndash185 doihttpsdoiorg10

1016jjimonfin201306023

Claessens S amp Laeven L (2004) What drives bank competition some international evidence Journal

of Money Credit and Banking 36 563ndash583 URL httpwwwjstororgstable3838954

Coccorese P (2014) Estimating the Lerner index for the banking industry a stochastic frontier approach

Applied Financial Economics 24 73ndash88 URL httpdxdoiorg101080096031072013866202

doi101080096031072013866202

Coelho C A De Mello J M amp Rezende L (2013) Do Public Banks Compete with Private

Banks Evidence from Concentrated Local Markets in Brazil Journal of Money Credit and Bank-

ing 45 1581ndash1615 URL httponlinelibrarywileycomdoi101111jmcb12063abstract

doi101111jmcb12063

Cubillas E amp Suarez N (2018) Bank market power and lending during the global financial crisis Jour-

nal of International Money and Finance 89 1ndash22 URL httpwwwsciencedirectcomscience

articlepiiS0261560618303048 doihttpsdoiorg101016jjimonfin201808003

Das A amp Kumbhakar S C (2016) Markup and efficiency of Indian banks an input distance func-

tion approach Empirical Economics (pp 1ndash31) URL httplinkspringercomarticle101007

s00181-015-1062-4 doi101007s00181-015-1062-4

Ely R Tabak B amp Teixeira A (2019) Heterogeneous effects of the implementation of macroprudential

policies on bank risk MPRA Paper No94546

Freixas X Laeven L amp Peydro J-L (2015) Systemic Risk Crises and Macroprudential Regulation

Mit Press URL httpwwwjstororgstablejctt17kk82g

Galati G amp Moessner R (2013) Macroprudential policy ndash a literature review Jour-

nal of Economic Surveys 27 846ndash878 URL httpsonlinelibrarywileycom

27

doiabs101111j1467-6419201200729x doi101111j1467-6419201200729x

arXivhttpsonlinelibrarywileycomdoipdf101111j1467-6419201200729x

Gropp R Mosk T Ongena S amp Wix C (2018) Banks Response to Higher Cap-

ital Requirements Evidence from a Quasi-Natural Experiment The Review of Finan-

cial Studies 32 266ndash299 URL httpsdoiorg101093rfshhy052 doi101093rfshhy052

arXivhttpoupprodsislanrfsarticle-pdf32126627185080hhy052pdf

Hyde C E amp Perloff J M (1995) Can market power be estimated Review of Industrial Organization 10

465ndash485 URL httplinkspringercomarticle101007BF01024231 doi101007BF01024231

Igan D amp Kang H (2011) Do loan-to-value and debt-to-income limits work evidence from korea IMF

Working Papers (pp 1ndash34)

Jimenez G Ongena S Peydro J-L amp Saurina J (2017) Macroprudential policy countercyclical bank

capital buffers and credit supply Evidence from the spanish dynamic provisioning experiments Journal

of Political Economy 125 2126ndash2177 URL httpsdoiorg101086694289 doi101086694289

arXivhttpsdoiorg101086694289

Jondrow J Knox Lovell C A Materov I S amp Schmidt P (1982) On the estimation of technical

inefficiency in the stochastic frontier production function model Journal of Econometrics 19 233ndash

238 URL httpwwwsciencedirectcomsciencearticlepii0304407682900045 doi101016

0304-4076(82)90004-5

Klingelhoger J amp Sun R (2019) Macruprudential policy central banks and financial stability Evidence

from china Journal of International Money and Finance 93 19ndash41 URL httpsdoiorg101016

jjimonfin201812015

Kumbhakar S C (2012) Specification and estimation of primal production models European Journal

of Operational Research 217 509ndash518 URL httpwwwsciencedirectcomsciencearticlepii

S0377221711008939 doi101016jejor201109043

Kumbhakar S C Baardsen S amp Lien G (2012) A New Method for Estimating Market Power with

an Application to Norwegian Sawmilling Review of Industrial Organization 40 109ndash129 URL http

linkspringercomarticle101007s11151-012-9339-7 doi101007s11151-012-9339-7

Lerner A P (1934) The Concept of Monopoly and the Measurement of Monopoly Power The Review

of Economic Studies 1 157ndash175 URL httprestudoxfordjournalsorglookupdoi102307

2967480 doi1023072967480

Lim C H Costa A Columba F Kongsamut P Otani A Saiyid M Wezel T amp Wu X (2011)

Macroprudential policy what instruments and how to use them lessons from country experiences IMF

working papers (pp 1ndash85)

Lopez R A He X amp Azzam A (2018) Stochastic frontier estimation of market

28

power in the food industries Journal of Agricultural Economics 69 3ndash17 URL https

onlinelibrarywileycomdoiabs1011111477-955212219 doi1011111477-955212219

arXivhttpsonlinelibrarywileycomdoipdf1011111477-955212219

Lucinda C R (2010) Competition in the Brazilian loan market an empirical analysis Estudos Economicos

(Sao Paulo) 40 831ndash858 URL httpwwwscielobrscielophpscript=sci_abstractamppid=

S0101-41612010000400004amplng=enampnrm=isoamptlng=en doi101590S0101-41612010000400004

Moreno R (2011) Policymaking from arsquomacroprudentialrsquoperspective in emerging market economies

Nakane M I (2002) A test of competition in brazilian banking Estudos Economicos (Sao Paulo) 32

203ndash224 URL httpwwwrevistasuspbreearticleview117799

Panzar J C amp Rosse J N (1987) Testing for rdquomonopolyrdquo equilibrium The Journal of Industrial

Economics 35 443ndash456 URL httpwwwjstororgstable2098582 doi1023072098582

Richter B Schularick M amp Shim I (2019) The costs of macroprudential policy Journal of Inter-

national Economics 118 263 ndash 282 URL httpwwwsciencedirectcomsciencearticlepii

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Schmalensee R (1989) Chapter 16 inter-industry studies of structure and performance In Hand-

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Silva M S d () Avaliacao do processo de concentracao-competicao no setor bancario brasileiro URL

httpwwwbcbgovbrpecwpsporttd377pdf

Tabak B amp Gomes G (2015) The impact of market power at bank level in risk-taking The brazilian

case International Review of Financial Analysis 40 154ndash165

Tabak B M Fazio D M amp Cajueiro D O (2012) The relationship between banking market competition

and risk-taking Do size and capitalization matter 36 3366ndash3381 URL httpwwwsciencedirect

comsciencearticlepiiS0378426612002026 doi101016jjbankfin201207022

Wong T Fong T Li K-f amp Choi H (2011) Loan-to-value ratio as a macroprudential tool-hong kongrsquos

experience and cross-country evidence

Zhang L amp Zoli E (2016) Leaning against the wind Macroprudential policy in asia Journal of Asian

Economics 42 33ndash52

29

Figure 1 Evolution of the Herfindahl Index (HHI) over time using credit and total assets for theBrazilian banking system

30

Figure 2 Marginal effects of HHI and prudential instruments (Capital Buffer Capital RequirementLTV Reserve Requirement (Foreign) Reserve Requirement (domestic) and cumulative prud) on the

mark-up u component

31

Figure 3 Frequency distribution of Lerner indexes for each model and density estimation Kernel by typeof control

32

Figure 4 Lerner indexes according to the size (market share) of banksrsquo assets

33

Figure 5 Average Lerner indices for each model between 2000q2 and 2014q4

34

Figure 6 Average Lerner indices estimated for public private national and private foreign banks between2000q2 and 2014q4

35

Figure 7 Frequency distribution of the returns to scale indexes for each model and density estimationKernel by type of control

36

Table 1 Variables used to IDF estimatation

Variabel Description SourceBasic variables

TR Total Revenue = Gross Insterest Income (a) + Bank-ing Service Fee Income (d1) + Banking Fee Income(d2) + Other Operating Income (d7)

Inc statIFData

TC Total Cost = Interest Expenses (b) + Personnel Ex-penses (d3) + Administrative Expenses (d4) + TaxExpenses (d5) + Other Operating Expenses (d8)

Inc statIFData

Y Loan Lease and Other Credit Operations by RiskLevel

SummaryIFData

x1 Personnel Expenses (d3) Inc statIFDatax2 Funding (e) LiabilitiesIFDatax3 Equity (j) LiabilitiesIFData

Model variabelslnRC Log of Revenue-Cost ratiolnY Log of total loanlnx1 Log of personnel expenses and equity ratio (x1x3)lnx2 Log of funding and equity ratio (x2x3)T Time

Prudential variables - Deterministic mark-up parametersHHIt HHIt =

sumS2it where Sit

2 is market share of totalasset of bank i on time t

Inc statIFData

cb cumulative change of capital buffer Cerutti et al (2016)cr cumulative change of capital requirement Cerutti et al (2016)ltv cumulative change of loan-to-value Cerutti et al (2016)

rr foreign cumulative change of reserve requirement (foreigncurrency)

Cerutti et al (2016)

rr local cumulative change of reserve requirement (domesticcurrency)

Cerutti et al (2016)

37

Table 2 Results of IDF estimation

Parameters VariablesEstimates

Model Model Model Model Model Model(1) (2) (3) (4) (5) (6)

Parametros da funcao insumo distanciaαY Y lnY -0013 -0003 -0004 -0012 -0011 -0005

(000) (000) (000) (000) (000) (000)α1Y lnx1 -0096 -0095 -0094 -0094 -0096 -0090

(001) (001) (001) (001) (001) (001)α2Y lnx2 -0019 -0022 -0022 -0019 -0020 -0021

(001) (001) (001) (001) (001) (001)αY T T -0000 -0000 -0000 -0000 -0000 -0000

(000) (000) (000) (000) (000) (000)αY const 1153 1010 1035 1134 1129 1057

(005) (007) (005) (005) (005) (006)

Deterministic Mark-up parametersδ1 HHI 764157

(12270)δ1 Capital

Buffer7586(065)

δ2 CapitalReq

4696(160)

δ1 Loan-to-value38511(671)

δ1 ResR(foreign)10730(433)

δ2 ResR(local)2869(126)

δ1 Cum Prud3237(020)

δ0 const minus10601minus10194minus5306 minus9866 minus8577 minus4993(032) (2064) (316) (079) (119) (122)

Distribution of u and vσ2u 2840 1418 1620 2643 2441 1593σ2v 0118 0121 0120 0118 0118 0120λ 2402 1172 1354 2233 2065 1325Log Lik 887404 922033 918606 896019 891991 907817

EstimatesEstimates of Mark-up (u)Avg 0075 0065 0068 0074 0075 00691st quartile 0052 0038 0051 0051 0051 0044Median 0062 0048 0060 0060 0061 00543st quartile 0080 0074 0079 0079 0079 0075std-dev 0053 0054 0053 0053 0054 0054

Note p lt 010 p lt 005 and p lt 001

38

Table 3 Estimates of Lerner index general and by type of control

EstimatesModel Model Model Model Model Model

(1) (2) (3) (4) (5) (6)Mark-up (L) generalAverage 0058 0051 0053 0057 0058 0053std-dev 0032 0034 0034 0032 0032 00331st quartile 0043 0031 0034 0041 0042 0036Median 0051 0039 0044 0050 0050 00453st quartile 0063 0060 0059 0063 0063 0060Mark-up (L) State-owned banksAverage 0057 0047 0049 0056 0056 0050std-dev 0018 0017 0017 0018 0016 00161st quartile 0047 0035 0038 0045 0046 0040Median 0054 0041 0046 0053 0053 00463st quartile 0064 0056 0056 0064 0063 0057Mark-up (L) National banksAverage 0057 0052 0054 0057 0057 0054std-dev 0034 0038 0038 0035 0035 00371st quartile 0041 0030 0033 0040 0041 0035Median 0050 0038 0043 0048 0049 00443st quartile 0061 0061 0060 0061 0062 0060Mark-up (L) Foreign banksAverage 0061 0050 0053 0059 0060 0054std-dev 0034 0033 0032 0034 0034 00321st quartile 0042 0031 0034 0041 0042 0036Median 0052 0040 0044 0051 0051 00453st quartile 0068 0059 0060 0066 0066 0061

Table 4 Estimates of returns to scale by control type and general

ModelState-owned

banksNational

banksForeignbanks

General std-dev Min Max

1 0944 0824 0842 0848 0073 0665 11242 0940 0829 0843 0851 0066 0690 10733 0938 0827 0842 0849 0066 0689 10764 0941 0824 0842 0848 0071 0671 11115 0942 0824 0841 0848 0072 0669 11136 0937 0829 0844 0850 0065 0692 1073

39

Appendix A Attachment Tables

Table A5 Cumulative change on Prudential Measures intensity

TimeCapitalBuffer 2

(cb)

CapitalReq(cr)

Loan-to-Value(ltv)

Reserve Reqlocal curr

(RR local)

Reserve Reqforeign cur

(RR foreign)

CumulativePrudential 3

(Cum Prud)2000q2 -1 0 0 0 -2 -32000q4 -1 0 0 0 -2 -32001q2 -1 0 0 0 -2 -32001q4 0 0 0 0 -1 -12002q2 0 0 0 0 0 02002q4 2 0 0 0 2 42003q2 0 0 0 0 3 32003q4 0 0 0 0 2 22004q2 0 0 0 0 2 22004q4 0 0 0 0 2 22005q2 0 0 0 0 2 22005q4 0 0 0 0 2 22006q2 0 0 0 0 2 22006q4 0 0 0 0 2 22007q2 2 0 0 0 2 42007q4 2 0 0 0 2 42008q2 2 0 0 0 2 42008q4 2 0 0 0 1 32009q2 2 0 0 0 0 22009q4 2 0 0 0 -1 12010q2 2 0 0 0 1 32010q4 3 0 0 0 3 62011q2 3 0 0 1 3 72011q4 4 0 0 2 3 92012q2 3 1 0 2 3 92012q4 3 1 0 1 2 72013q2 3 2 0 0 2 72013q4 3 2 1 0 2 82014q2 3 2 1 0 2 82014q4 2 2 1 0 3 82Sum of capital buffer and others 3Aggregate measure (It is the sum of the change of all other instrument)

40

Table A6 Estimates of Lerner index and return to scale by bank - Model (1)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0042 0082 0009 0940 0007 -85Banrisul S 0055 0041 0084 0009 0952 0008 -635BEC S 0048 0021 0077 0016 0844 0009 -1756BRB S 0058 0033 0100 0015 0961 0003 -1533BB S 0058 0039 0098 0012 0990 0006 -173Caixa Economica Federal S 0063 0051 0174 0022 1052 0004 1458B da Amazonia SA S 0057 0016 0124 0023 0844 0008 -2028B do Estado Do Para SA S 0061 0026 0110 0022 0936 0004 -1764B do Est do Maranhao SA S 0055 0046 0065 0006 0935 0014 -455B do Est do Piauı SA - Bep S 0057 0030 0155 0029 0862 0004 -326B do Estado De Sergipe SA S 0061 0024 0135 0022 0947 0004 -1453Nossa Caixa - N Banco SA S 0057 0036 0090 0013 0981 0004 -444Bradesco N 0056 0038 0114 0015 0925 0004 -1945Itau N 0059 0031 0220 0033 0901 0003 -3797Safra N 0053 0037 0085 0009 0885 0003 -4215Unibanco N 0055 0037 0088 0014 0897 0001 -7054Mercantil Do Brasil N 0057 0027 0077 0011 0945 0002 -2527BBM N 0076 0016 0300 0065 0783 0005 -4464BMC N 0052 0030 0079 0012 0845 0003 -4703BMG N 0065 0017 0208 0045 0779 0003 -729JMalucelli N 0047 0022 0069 0013 0718 0003 -8765PEBB N 0065 0017 0181 0047 0698 0008 -3914SS N 0057 0034 0220 0037 0799 0007 -2839Sofisa N 0054 0021 0092 0020 0804 0002 -9903BIC N 0060 0034 0236 0040 0855 0005 -276Schahin N 0056 0028 0214 0035 0835 0006 -262Stock N 0081 0020 0267 0067 0817 0006 -3107Pine N 0052 0022 0108 0019 0808 0004 -545Socopa N 0056 0027 0120 0017 0886 0003 -3806Intercap N 0060 0023 0212 0037 0812 0007 -2851Indusval N 0062 0030 0246 0043 0857 0005 -3139Bonsucesso N 0052 0020 0092 0018 0779 0005 -4033Industrial do Brasil N 0051 0031 0081 0016 0807 0002 -952Votorantim N 0052 0037 0107 0017 0819 0009 -2117Cacique N 0053 0024 0071 0014 0774 0005 -4621Inter Amex N 0055 0037 0068 0010 0837 0008 -2158Alfa N 0048 0041 0059 0005 0806 0002 -11303Rendimento N 0053 0022 0080 0012 0872 0008 -1562Bancoob N 0052 0046 0056 0003 0856 0003 -5061Original N 0085 0017 0279 0090 0729 0007 -4163Banco Intermedium SA N 0052 0028 0070 0015 0743 0006 -3973

Table A6 ndash Continue on next page

41

Table A6 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0225 0049 0761 0003 -7509Banco BBN SA N 0053 0027 0077 0014 0817 0012 -1509B Cooperativo Sicredi SA N 0052 0043 0062 0005 0875 0005 -2477B Cooperativo do Brasil SA N 0056 0046 0142 0020 0910 0006 -1479Banco Topazio SA N 0060 0035 0110 0027 0834 0006 -2966Banco Gerador SA N 0069 0045 0122 0028 0852 0008 -1968Banco Randon SA N 0109 0023 0320 0109 0783 0005 -4158Parana Banco SA N 0050 0026 0108 0020 0784 0008 -2799Banco Triangulo SA N 0055 0028 0091 0020 0833 0004 -4201Banco Guanabara SA N 0052 0024 0169 0025 0777 0004 -5588Banco Cedula SA N 0068 0012 0339 0061 0731 0003 -10236Banco Cacique SA N 0077 0028 0248 0077 0785 0016 -1309B Luso Brasileiro SA N 0065 0027 0208 0043 0849 0004 -349Banco Pecunia SA N 0047 0039 0060 0006 0770 0003 -7086Banco Zogbi SA N 0051 0038 0067 0011 0778 0001 -15193Banco Daycoval SA N 0054 0023 0131 0026 0783 0004 -5522B John Deere SA N 0059 0018 0133 0033 0756 0003 -7955Banco AJ Renner SA N 0053 0025 0081 0015 0827 0006 -2742ABN Amro F 0056 0039 0079 0014 0914 0002 -427Chase F 0068 0014 0228 0049 0790 0008 -2678LLoyds F 0053 0027 0064 0012 0825 0003 -5159BankBoston F 0057 0040 0099 0020 0902 0006 -1638Santander Brasil F 0057 0034 0097 0017 0890 0008 -146Citibank F 0059 0026 0153 0028 0875 0003 -4039BNL F 0055 0041 0097 0019 0840 0006 -2767Sudameris F 0056 0048 0065 0005 0966 0012 -297Societe Generale F 0060 0024 0153 0031 0826 0006 -299Europeu F 0054 0032 0073 0013 0848 0007 -2287ABC-Brasil F 0052 0025 0082 0014 0815 0003 -6207Dresdner F 0083 0017 0280 0074 0815 0006 -3234AGF Braseg F 0051 0031 0100 0016 0794 0004 -4923HSBC F 0057 0046 0092 0010 0971 0006 -466Deutsche F 0068 0013 0160 0036 0857 0004 -3335BNP Paribas F 0050 0037 0068 0007 0824 0005 -3665Barclays F 0052 0024 0089 0021 0771 0008 -2787Rabobank Int Brasil SA F 0058 0022 0166 0028 0842 0003 -5284B Nat de Paris Br SA F 0063 0023 0109 0033 0811 0006 -3331Ibibank SA - Banco Multiplo F 0059 0012 0106 0024 0781 0015 -1441Dresdner Bank - B Multiplo F 0086 0016 0244 0068 0768 0008 -2746Banco Westlb Do Brasil SA F 0064 0034 0108 0027 0839 0010 -1626Banco GE Capital SA F 0067 0032 0247 0047 0852 0010 -1527B Com Uruguai SA F 0072 0020 0192 0049 0830 0003 -52281S - State-owned bank N - National bank and F - Foreign bank

42

Table A7 Estimates of Lerner index and return to scale by bank - Model (2)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0049 0032 0085 0016 0944 0008 -716Banrisul S 0049 0032 0106 0017 0939 0008 -75BEC S 0032 0016 0046 0008 0860 0009 -1489BRB S 0049 0030 0112 0017 0961 0002 -1681BB S 0049 0032 0091 0016 0948 0006 -845Caixa Economica Federal S 0052 0034 0081 0014 1012 0003 382B da Amazonia SA S 0053 0015 0140 0028 0847 0008 -1922B do Estado Do Para SA S 0046 0029 0063 0009 0952 0005 -963B do Est do Maranhao SA S 0036 0029 0045 0005 0963 0016 -235B do Est do Piauı SA - Bep S 0036 0023 0071 0011 0888 0005 -2314B do Estado De Sergipe SA S 0050 0020 0155 0024 0962 0004 -1043Nossa Caixa - N Banco SA S 0039 0027 0074 0011 0972 0005 -601Bradesco N 0050 0028 0116 0023 0890 0004 -2618Itau N 0052 0024 0222 0037 0869 0003 -4269Safra N 0046 0028 0100 0017 0867 0003 -5042Unibanco N 0035 0028 0054 0007 0873 0001 -8511Mercantil Do Brasil N 0051 0029 0093 0019 0941 0002 -2837BBM N 0063 0012 0213 0048 0790 0005 -4494BMC N 0034 0023 0049 0007 0851 0003 -4266BMG N 0065 0015 0233 0057 0776 0004 -6135JMalucelli N 0052 0018 0080 0016 0720 0003 -9566PEBB N 0037 0014 0108 0025 0732 0009 -3086SS N 0056 0024 0236 0046 0797 0007 -2849Sofisa N 0052 0018 0107 0028 0808 0002 -8115BIC N 0057 0026 0259 0050 0850 0006 -2531Schahin N 0047 0022 0225 0041 0845 0007 -2359Stock N 0078 0017 0287 0071 0843 0006 -2782Pine N 0048 0018 0114 0023 0811 0004 -4973Socopa N 0050 0022 0136 0024 0908 0003 -3089Intercap N 0051 0019 0133 0031 0832 0006 -2759Indusval N 0061 0023 0267 0052 0866 0006 -2437Bonsucesso N 0050 0017 0109 0026 0791 0006 -3655Industrial do Brasil N 0044 0024 0079 0015 0816 0002 -8095Votorantim N 0048 0025 0120 0026 0807 0007 -2721Cacique N 0033 0020 0039 0006 0782 0005 -4597Inter Amex N 0035 0025 0045 0007 0844 0006 -2419Alfa N 0042 0029 0069 0013 0801 0002 -12139Rendimento N 0049 0019 0077 0015 0889 0008 -1394Bancoob N 0065 0057 0073 0006 0855 0003 -4199Original N 0099 0019 0299 0096 0732 0006 -4473Banco Intermedium SA N 0062 0032 0081 0019 0754 0006 -4393

Table A7 ndash Continue on next page

43

Table A7 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0059 0016 0239 0051 0778 0003 -6944Banco BBN SA N 0035 0020 0053 0009 0834 0011 -1466B Cooperativo Sicredi SA N 0045 0032 0070 0011 0881 0005 -2581B Cooperativo do Brasil SA N 0045 0029 0147 0025 0922 0006 -1274Banco Topazio SA N 0076 0043 0138 0038 0861 0005 -2569Banco Gerador SA N 0089 0054 0153 0037 0874 0008 -1645Banco Randon SA N 0122 0029 0335 0113 0803 0005 -388Parana Banco SA N 0033 0020 0062 0011 0800 0009 -234Banco Triangulo SA N 0052 0022 0105 0027 0841 0004 -4148Banco Guanabara SA N 0046 0019 0091 0020 0793 0004 -5561Banco Cedula SA N 0062 0011 0359 0067 0749 0003 -9911Banco Cacique SA N 0049 0020 0157 0048 0791 0016 -1315Banco Luso Brasileiro SA N 0066 0022 0241 0055 0870 0005 -2851Banco Pecunia SA N 0032 0027 0036 0003 0787 0003 -6876Banco Zogbi SA N 0032 0026 0037 0005 0784 0002 -13006Banco Daycoval SA N 0053 0019 0139 0036 0784 0004 -6065Banco John Deere SA N 0035 0016 0073 0016 0761 0003 -8278Banco AJ Renner SA N 0047 0021 0083 0015 0844 0006 -2553ABN Amro F 0035 0027 0047 0006 0889 0002 -7231Chase F 0054 0013 0157 0033 0804 0007 -2702LLoyds F 0033 0020 0043 0008 0821 0003 -5429BankBoston F 0036 0026 0060 0011 0888 0006 -1917Santander Brasil F 0055 0025 0115 0030 0864 0008 -1647Citibank F 0051 0020 0132 0025 0860 0003 -4735BNL F 0036 0026 0062 0012 0843 0005 -2959Sudameris F 0036 0031 0040 0004 0949 0011 -468Societe Generale F 0051 0018 0104 0024 0835 0007 -2454Europeu F 0034 0025 0041 0006 0859 0007 -2076ABC-Brasil F 0043 0026 0086 0015 0813 0003 -5797Dresdner F 0050 0014 0190 0046 0824 0004 -3975AGF Braseg F 0044 0024 0068 0014 0810 0005 -4109HSBC F 0052 0031 0110 0021 0948 0007 -776Deutsche F 0054 0012 0166 0030 0866 0005 -2754BNP Paribas F 0049 0028 0073 0013 0818 0004 -4092Barclays F 0065 0028 0121 0027 0811 0005 -4028Rabobank Int Brasil SA F 0047 0017 0102 0017 0845 0003 -4605B Nat de Paris Brasil SA F 0036 0017 0054 0013 0819 0005 -3304Ibibank SA - Banco Multiplo F 0043 0010 0114 0025 0782 0013 -1623Dresdner Bank - B Multiplo F 0096 0015 0270 0076 0785 0007 -2924Banco Westlb Do Brasil SA F 0041 0026 0062 0013 0853 0010 -154Banco GE Capital SA F 0054 0026 0253 0049 0862 0010 -1444B Com Uruguai SA F 0070 0017 0220 0058 0849 0003 -4471S - State-owned bank N - National bank and F - Foreign bank

44

Table A8 Estimates of Lerner index and return to scale by bank - Model (3)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0034 0090 0016 0941 0008 -772Banrisul S 0051 0032 0108 0016 0938 0008 -772BEC S 0035 0018 0051 0009 0856 0009 -1562BRB S 0052 0032 0122 0018 0958 0002 -1793BB S 0052 0035 0085 0015 0951 0006 -809Caixa Economica Federal S 0054 0039 0098 0014 1015 0003 465B da Amazonia SA S 0053 0014 0113 0024 0845 0008 -1977B do Estado Do Para SA S 0049 0028 0071 0010 0947 0005 -1117B do E do Maranhao SA S 0041 0032 0059 0008 0957 0015 -285B do E do Piauı SA - Bep S 0041 0028 0086 0014 0882 0005 -2518B do Estado De Sergipe SA S 0052 0021 0145 0022 0957 0004 -1182Nossa Caixa - N Banco SA S 0045 0029 0081 0015 0971 0005 -651Bradesco N 0052 0029 0101 0021 0893 0004 -2614Itau N 0054 0025 0203 0034 0872 0003 -4328Safra N 0048 0029 0093 0015 0869 0003 -5008Unibanco N 0041 0028 0067 0010 0874 0001 -8514Mercantil Do Brasil N 0053 0026 0095 0018 0939 0002 -29BBM N 0067 0013 0250 0056 0789 0005 -4501BMC N 0038 0024 0069 0010 0849 0003 -4408BMG N 0067 0015 0233 0058 0776 0004 -6374JMalucelli N 0052 0022 0087 0016 0720 0003 -9426PEBB N 0045 0014 0158 0040 0727 0009 -3192SS N 0057 0025 0231 0046 0797 0007 -287Sofisa N 0053 0018 0116 0026 0807 0002 -8444BIC N 0059 0030 0250 0049 0850 0006 -2596Schahin N 0048 0023 0220 0038 0842 0007 -2424Stock N 0083 0017 0304 0077 0838 0006 -2873Pine N 0049 0019 0105 0020 0810 0004 -5103Socopa N 0050 0026 0111 0018 0903 0003 -3253Intercap N 0055 0020 0196 0036 0828 0006 -283Indusval N 0062 0029 0282 0052 0863 0005 -2588Bonsucesso N 0051 0017 0118 0025 0789 0006 -3771Industrial do Brasil N 0046 0025 0086 0015 0815 0002 -8341Votorantim N 0050 0027 0128 0027 0809 0007 -2664Cacique N 0037 0020 0048 0009 0781 0005 -4645Inter Amex N 0039 0026 0058 0009 0842 0006 -2468Alfa N 0044 0031 0072 0011 0801 0002 -11998Rendimento N 0049 0022 0078 0011 0885 0008 -1463Bancoob N 0066 0057 0077 0007 0854 0003 -4342Original N 0102 0019 0301 0096 0730 0006 -4526Banco Intermedium SA N 0059 0027 0083 0020 0752 0006 -4354

Table A8 ndash Continue on next page

45

Table A8 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0017 0217 0054 0776 0003 -7084Banco BBN SA N 0038 0022 0058 0010 0831 0011 -1492B Cooperativo Sicredi SA N 0047 0035 0071 0010 0879 0005 -259B Cooperativo do Brasil SA N 0046 0035 0128 0020 0919 0006 -1339Banco Topazio SA N 0075 0036 0153 0041 0855 0005 -2657Banco Gerador SA N 0091 0057 0144 0034 0869 0008 -173Banco Randon SA N 0124 0029 0332 0112 0799 0005 -4023Parana Banco SA N 0036 0021 0071 0012 0797 0008 -2452Banco Triangulo SA N 0053 0023 0115 0027 0839 0004 -4256Banco Guanabara SA N 0047 0020 0100 0019 0790 0004 -561Banco Cedula SA N 0066 0012 0362 0068 0747 0003 -10082Banco Cacique SA N 0063 0026 0231 0074 0789 0016 -1336Banco Luso Brasileiro SA N 0066 0026 0249 0053 0865 0005 -2985Banco Pecunia SA N 0034 0029 0041 0004 0784 0003 -7038Banco Zogbi SA N 0036 0027 0046 0006 0782 0002 -13399Banco Daycoval SA N 0054 0019 0131 0034 0784 0004 -607Banco John Deere SA N 0039 0015 0083 0018 0761 0003 -8316Banco AJ Renner SA N 0049 0024 0073 0013 0840 0006 -2621ABN Amro F 0041 0030 0066 0009 0890 0002 -6866Chase F 0059 0013 0173 0039 0801 0007 -2733LLoyds F 0038 0021 0055 0010 0821 0003 -5484BankBoston F 0040 0028 0063 0012 0888 0006 -1931Santander Brasil F 0056 0028 0107 0027 0866 0008 -1663Citibank F 0052 0022 0123 0023 0860 0003 -4735BNL F 0039 0028 0063 0014 0841 0005 -2966Sudameris F 0041 0036 0052 0006 0948 0011 -473Societe Generale F 0052 0020 0103 0022 0833 0006 -2579Europeu F 0038 0030 0049 0007 0856 0007 -2153ABC-Brasil F 0046 0029 0079 0014 0813 0003 -5935Dresdner F 0055 0014 0212 0052 0822 0005 -3913AGF Braseg F 0046 0027 0071 0014 0806 0005 -4276HSBC F 0053 0032 0101 0019 0949 0007 -784Deutsche F 0058 0013 0141 0029 0863 0005 -2878BNP Paribas F 0051 0030 0074 0012 0818 0004 -4118Barclays F 0066 0025 0130 0030 0805 0005 -4123Rabobank Int Brasil SA F 0049 0019 0109 0018 0844 0003 -4752B Nat de Paris Brasil SA F 0041 0019 0069 0018 0817 0005 -3368Ibibank SA - Banco Multiplo F 0046 0010 0095 0021 0781 0014 -1617Dresdner Bank - B Multiplo F 0093 0017 0282 0072 0782 0008 -2899Banco Westlb Do Brasil SA F 0044 0027 0069 0015 0850 0009 -1591Banco GE Capital SA F 0055 0026 0249 0046 0859 0009 -1489B Com Uruguai SA F 0071 0017 0228 0056 0845 0003 -46241S - State-owned bank N - National bank and F - Foreign bank

46

Table A9 Estimates of Lerner index and return to scale by bank - Model (4)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0054 0041 0078 0011 0939 0007 -873Banrisul S 0055 0040 0106 0014 0948 0008 -692BEC S 0046 0020 0072 0014 0846 0009 -1746BRB S 0057 0032 0094 0016 0959 0002 -1673BB S 0057 0038 0095 0014 0981 0006 -33Caixa Economica Federal S 0061 0049 0165 0021 1042 0003 1249B da Amazonia SA S 0056 0015 0117 0022 0844 0008 -2047B do Estado Do Para SA S 0059 0025 0103 0020 0936 0004 -1701B do E Do Maranhao SA S 0052 0044 0062 0005 0936 0014 -448B do E Do Piauı SA - Bep S 0054 0029 0147 0028 0865 0004 -3201B do Estado De Sergipe SA S 0061 0023 0168 0026 0947 0004 -1484Nossa Caixa - N Banco SA S 0054 0035 0085 0012 0977 0004 -547Bradesco N 0056 0036 0107 0017 0919 0004 -2123Itau N 0058 0030 0212 0032 0896 0003 -3979Safra N 0052 0035 0107 0013 0882 0003 -445Unibanco N 0052 0035 0082 0013 0892 0001 -7446Mercantil Do Brasil N 0057 0027 0093 0015 0942 0002 -2687BBM N 0075 0015 0294 0064 0784 0005 -4512BMC N 0050 0029 0074 0011 0846 0003 -472BMG N 0065 0016 0202 0047 0779 0003 -7192JMalucelli N 0048 0022 0071 0014 0720 0003 -8923PEBB N 0061 0016 0172 0044 0704 0008 -382SS N 0056 0033 0213 0037 0799 0007 -2875Sofisa N 0053 0020 0087 0019 0805 0002 -9731BIC N 0061 0033 0269 0048 0854 0005 -2768Schahin N 0053 0027 0205 0034 0836 0006 -2627Stock N 0081 0020 0265 0068 0820 0006 -3122Pine N 0052 0022 0118 0021 0808 0004 -5467Socopa N 0054 0026 0114 0016 0888 0003 -3785Intercap N 0057 0023 0203 0035 0815 0006 -2877Indusval N 0062 0029 0239 0043 0857 0005 -3085Bonsucesso N 0052 0019 0088 0018 0782 0005 -403Industrial do Brasil N 0050 0030 0076 0015 0809 0002 -9427Votorantim N 0051 0036 0102 0017 0817 0008 -2222Cacique N 0050 0023 0067 0013 0776 0005 -4659Inter Amex N 0052 0035 0064 0009 0837 0007 -2226Alfa N 0048 0039 0071 0007 0805 0002 -11484Rendimento N 0052 0022 0076 0013 0874 0008 -1571Bancoob N 0057 0045 0071 0011 0855 0003 -5022Original N 0094 0017 0278 0090 0730 0006 -4242Banco Intermedium SA N 0049 0027 0065 0014 0746 0006 -4054

Table A9 ndash Continue on next page

47

Table A9 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0019 0220 0050 0764 0003 -7516Banco BBN SA N 0050 0027 0072 0013 0819 0012 -1529B Cooperativo Sicredi SA N 0051 0041 0068 0006 0875 0005 -2551B Cooperativo do Brasil SA N 0053 0044 0134 0018 0910 0006 -151Banco Topazio SA N 0066 0035 0128 0036 0837 0005 -2981Banco Gerador SA N 0082 0045 0157 0043 0854 0007 -1967Banco Randon SA N 0106 0026 0312 0105 0786 0005 -4204Parana Banco SA N 0048 0025 0102 0018 0787 0008 -2768Banco Triangulo SA N 0054 0027 0088 0021 0834 0004 -427Banco Guanabara SA N 0051 0023 0161 0025 0780 0004 -5659Banco Cedula SA N 0069 0012 0360 0065 0735 0003 -1028Banco Cacique SA N 0073 0027 0240 0075 0786 0016 -1327Banco Luso Brasileiro SA N 0065 0026 0242 0047 0852 0004 -346Banco Pecunia SA N 0045 0037 0056 0006 0773 0003 -7139Banco Zogbi SA N 0048 0036 0064 0010 0779 0001 -15057Banco Daycoval SA N 0055 0022 0126 0030 0784 0004 -568Banco John Deere SA N 0056 0018 0125 0031 0757 0003 -8084Banco AJ Renner SA N 0051 0025 0077 0013 0829 0006 -2763ABN Amro F 0053 0038 0074 0013 0909 0002 -4803Chase F 0066 0014 0220 0046 0793 0008 -2711LLoyds F 0050 0026 0060 0011 0825 0003 -5323BankBoston F 0054 0038 0092 0018 0899 0006 -1734Santander Brasil F 0056 0033 0098 0019 0885 0007 -1529Citibank F 0059 0025 0145 0030 0872 0003 -421BNL F 0052 0039 0091 0018 0840 0006 -2854Sudameris F 0053 0046 0062 0005 0961 0011 -352Societe Generale F 0058 0023 0144 0028 0827 0006 -2968Europeu F 0052 0031 0069 0012 0849 0007 -23ABC-Brasil F 0051 0028 0091 0015 0815 0003 -6225Dresdner F 0078 0017 0271 0071 0816 0005 -339AGF Braseg F 0050 0030 0094 0015 0797 0004 -4873HSBC F 0057 0045 0116 0016 0966 0006 -562Deutsche F 0066 0013 0151 0034 0858 0004 -3316BNP Paribas F 0050 0036 0071 0010 0823 0005 -3772Barclays F 0057 0024 0102 0025 0777 0007 -3003Rabobank Int Brasil SA F 0057 0021 0157 0026 0842 0003 -5266B Nat de Paris Brasil SA F 0059 0023 0102 0030 0812 0006 -3387Ibibank SA - Banco Multiplo F 0056 0012 0100 0023 0781 0015 -148Dresdner Bank - B Multiplo F 0084 0016 0237 0064 0771 0008 -2798Banco Westlb Do Brasil SA F 0061 0033 0101 0025 0841 0010 -1646Banco GE Capital SA F 0063 0031 0238 0044 0853 0010 -1548B Com Uruguai SA F 0074 0020 0226 0056 0833 0003 -51921S - State-owned bank N - National bank and F - Foreign bank

48

Table A10 Estimates of Lerner index and return to scale by bank - Model (5)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0043 0093 0012 0940 0007 -834Banrisul S 0054 0041 0083 0009 0949 0008 -668BEC S 0046 0020 0075 0014 0846 0009 -1719BRB S 0058 0032 0121 0017 0960 0002 -1607BB S 0056 0037 0087 0010 0981 0006 -321Caixa Economica Federal S 0061 0050 0156 0019 1044 0003 1282B da Amazonia SA S 0057 0016 0115 0023 0843 0008 -2023B do Estado Do Para SA S 0059 0027 0102 0020 0938 0004 -1608B do E Do Maranhao SA S 0052 0042 0064 0006 0939 0015 -418B do E Do Piauı SA - Bep S 0054 0029 0138 0025 0866 0004 -3097B do Estado De Sergipe SA S 0059 0024 0136 0020 0949 0004 -1404Nossa Caixa - N Banco SA S 0055 0036 0088 0013 0979 0004 -494Bradesco N 0056 0037 0108 0016 0918 0004 -2108Itau N 0058 0031 0213 0033 0894 0003 -3968Safra N 0052 0036 0086 0010 0881 0003 -4388Unibanco N 0053 0037 0085 0013 0892 0001 -7433Mercantil Do Brasil N 0057 0027 0086 0012 0943 0002 -2619BBM N 0075 0015 0292 0063 0784 0005 -447BMC N 0050 0029 0077 0012 0846 0003 -4648BMG N 0067 0017 0220 0051 0777 0003 -7116JMalucelli N 0049 0022 0083 0016 0718 0003 -8879PEBB N 0060 0017 0176 0044 0704 0008 -3743SS N 0059 0032 0223 0041 0798 0007 -2847Sofisa N 0055 0021 0112 0022 0804 0002 -9624BIC N 0060 0032 0238 0041 0853 0005 -2725Schahin N 0055 0028 0228 0038 0836 0006 -2575Stock N 0082 0019 0267 0068 0821 0006 -3063Pine N 0052 0022 0096 0018 0808 0004 -5392Socopa N 0055 0027 0113 0016 0889 0003 -3694Intercap N 0060 0023 0210 0037 0814 0006 -2856Indusval N 0062 0029 0245 0044 0857 0005 -3023Bonsucesso N 0053 0020 0113 0022 0781 0005 -3999Industrial do Brasil N 0051 0030 0084 0016 0808 0002 -9274Votorantim N 0052 0037 0130 0022 0816 0008 -2227Cacique N 0049 0024 0065 0012 0775 0005 -4632Inter Amex N 0052 0034 0067 0011 0837 0007 -2236Alfa N 0047 0041 0056 0004 0804 0002 -11448Rendimento N 0053 0022 0079 0011 0874 0008 -1549Bancoob N 0056 0050 0064 0005 0856 0003 -4874Original N 0087 0018 0288 0093 0728 0006 -4259Banco Intermedium SA N 0055 0027 0078 0019 0744 0006 -4047

Table A10 ndash Continue on next page

49

Table A10 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0217 0048 0763 0003 -7417Banco BBN SA N 0051 0026 0075 0014 0820 0012 -1504B Cooperativo Sicredi SA N 0051 0040 0061 0005 0876 0005 -2499B Cooperativo do Brasil SA N 0054 0043 0136 0019 0912 0006 -1445Banco Topazio SA N 0061 0034 0109 0026 0838 0006 -2897Banco Gerador SA N 0073 0052 0124 0026 0855 0008 -1918Banco Randon SA N 0120 0024 0327 0114 0785 0005 -4153Parana Banco SA N 0048 0026 0106 0020 0786 0008 -2732Banco Triangulo SA N 0055 0027 0111 0022 0834 0004 -4227Banco Guanabara SA N 0052 0024 0153 0024 0779 0004 -5589Banco Cedula SA N 0069 0012 0339 0062 0734 0003 -10232Banco Cacique SA N 0076 0027 0246 0076 0785 0016 -1317Banco Luso Brasileiro SA N 0067 0027 0207 0047 0852 0004 -3379Banco Pecunia SA N 0046 0038 0054 0006 0773 0003 -71Banco Zogbi SA N 0047 0037 0061 0010 0778 0001 -14931Banco Daycoval SA N 0054 0022 0126 0026 0782 0004 -5661Banco John Deere SA N 0056 0018 0129 0031 0756 0003 -8043Banco AJ Renner SA N 0053 0025 0080 0015 0829 0006 -2716ABN Amro F 0053 0038 0074 0012 0908 0002 -4751Chase F 0067 0014 0225 0047 0792 0008 -2693LLoyds F 0049 0025 0064 0012 0824 0003 -5227BankBoston F 0054 0037 0096 0020 0899 0006 -1701Santander Brasil F 0057 0033 0103 0019 0884 0008 -1511Citibank F 0059 0026 0154 0028 0871 0003 -4204BNL F 0052 0037 0097 0020 0840 0006 -28Sudameris F 0052 0045 0058 0005 0962 0011 -334Societe Generale F 0060 0023 0151 0031 0827 0006 -2924Europeu F 0050 0032 0066 0012 0849 0007 -2263ABC-Brasil F 0051 0025 0079 0014 0814 0003 -617Dresdner F 0080 0017 0276 0073 0816 0005 -3374AGF Braseg F 0050 0031 0093 0015 0796 0004 -4812HSBC F 0057 0043 0093 0011 0966 0006 -541Deutsche F 0066 0013 0155 0035 0858 0004 -3244BNP Paribas F 0050 0035 0067 0008 0822 0005 -3775Barclays F 0056 0024 0113 0025 0778 0007 -305Rabobank Int Brasil SA F 0057 0021 0163 0027 0842 0003 -5208B Nat de Paris Brasil SA F 0058 0022 0100 0029 0812 0006 -3343Ibibank SA - Banco Multiplo F 0057 0012 0099 0023 0780 0015 -1478Dresdner Bank - B Multiplo F 0087 0016 0244 0068 0770 0008 -2768Banco Westlb Do Brasil SA F 0063 0034 0106 0026 0841 0010 -1625Banco GE Capital SA F 0064 0032 0247 0046 0853 0010 -1522B Com Uruguai SA F 0073 0019 0191 0049 0833 0003 -50981S - State-owned bank N - National bank and F - Foreign bank

50

Table A11 Estimates of Lerner index and return to scale by bank - Model (6)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0036 0096 0015 0939 0007 -855Banrisul S 0050 0035 0098 0014 0938 0008 -82BEC S 0041 0019 0067 0012 0855 0009 -1644BRB S 0053 0029 0124 0018 0956 0002 -1996BB S 0051 0032 0088 0013 0954 0006 -807Caixa Economica Federal S 0054 0040 0094 0012 1014 0003 475B da Amazonia SA S 0053 0015 0103 0022 0846 0008 -205B do Estado Do Para SA S 0051 0028 0074 0013 0943 0004 -1319B do E Do Maranhao SA S 0041 0031 0059 0008 0950 0014 -346B do E Do Piauı SA - Bep S 0042 0028 0084 0012 0879 0004 -2727B do Estado De Sergipe SA S 0052 0022 0153 0022 0953 0003 -1377Nossa Caixa - N Banco SA S 0047 0032 0081 0014 0969 0004 -74Bradesco N 0052 0032 0097 0019 0898 0004 -2645Itau N 0054 0027 0190 0031 0877 0003 -4452Safra N 0049 0032 0100 0015 0872 0003 -5056Unibanco N 0043 0032 0067 0010 0878 0001 -8666Mercantil Do Brasil N 0053 0026 0087 0017 0938 0002 -3104BBM N 0066 0013 0251 0056 0792 0005 -4556BMC N 0041 0026 0069 0011 0850 0003 -4582BMG N 0067 0016 0228 0057 0781 0003 -6611JMalucelli N 0051 0022 0089 0017 0725 0003 -9344PEBB N 0046 0015 0157 0039 0728 0008 -3313SS N 0058 0025 0230 0046 0801 0007 -292Sofisa N 0053 0020 0119 0025 0809 0002 -8846BIC N 0060 0029 0262 0049 0852 0005 -2697Schahin N 0049 0025 0229 0040 0843 0006 -2523Stock N 0081 0017 0284 0072 0836 0005 -2986Pine N 0049 0021 0112 0019 0812 0004 -5267Socopa N 0050 0026 0095 0015 0900 0003 -3515Intercap N 0055 0021 0196 0035 0828 0006 -2899Indusval N 0061 0029 0262 0049 0863 0005 -2762Bonsucesso N 0052 0019 0123 0026 0791 0005 -3885Industrial do Brasil N 0046 0027 0088 0015 0816 0002 -8698Votorantim N 0051 0027 0139 0027 0813 0007 -262Cacique N 0039 0022 0050 0009 0784 0005 -4707Inter Amex N 0045 0027 0064 0012 0843 0006 -2493Alfa N 0044 0033 0068 0009 0805 0002 -12111Rendimento N 0050 0022 0073 0010 0883 0008 -1543Bancoob N 0066 0055 0072 0007 0856 0003 -4559Original N 0098 0020 0294 0094 0735 0006 -4509Banco Intermedium SA N 0057 0024 0085 0022 0756 0006 -4324

Table A11 ndash Continue on next page

51

Table A11 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0061 0017 0195 0048 0777 0003 -7233Banco BBN SA N 0042 0023 0059 0012 0831 0011 -1529B Cooperativo Sicredi SA N 0048 0035 0066 0009 0879 0005 -2672B Cooperativo do Brasil SA N 0046 0034 0119 0017 0917 0006 -1439Banco Topazio SA N 0070 0031 0129 0036 0853 0005 -2776Banco Gerador SA N 0086 0057 0148 0034 0867 0007 -1825Banco Randon SA N 0126 0028 0331 0114 0799 0005 -4136Parana Banco SA N 0039 0023 0082 0015 0798 0008 -2556Banco Triangulo SA N 0052 0025 0116 0025 0840 0004 -4363Banco Guanabara SA N 0048 0021 0100 0019 0792 0004 -5683Banco Cedula SA N 0067 0013 0356 0067 0749 0002 -10205Banco Cacique SA N 0067 0026 0232 0073 0792 0015 -1356Banco Luso Brasileiro SA N 0065 0025 0237 0052 0864 0004 -3163Banco Pecunia SA N 0037 0029 0045 0006 0786 0003 -7158Banco Zogbi SA N 0037 0027 0045 0007 0785 0002 -13921Banco Daycoval SA N 0053 0020 0120 0031 0787 0003 -6088Banco John Deere SA N 0043 0017 0099 0022 0764 0003 -8346Banco AJ Renner SA N 0050 0025 0080 0013 0840 0006 -2706ABN Amro F 0043 0035 0067 0008 0894 0002 -6685Chase F 0059 0014 0189 0040 0803 0007 -2772LLoyds F 0039 0021 0055 0012 0824 0003 -5536BankBoston F 0044 0029 0075 0015 0890 0006 -1965Santander Brasil F 0054 0028 0107 0024 0871 0008 -1694Citibank F 0054 0023 0133 0026 0863 0003 -4787BNL F 0042 0028 0078 0018 0843 0005 -2998Sudameris F 0041 0036 0052 0006 0948 0010 -491Societe Generale F 0054 0020 0118 0025 0834 0006 -2716Europeu F 0038 0029 0049 0008 0856 0006 -2239ABC-Brasil F 0046 0028 0084 0014 0816 0003 -6111Dresdner F 0063 0015 0239 0061 0823 0005 -3888AGF Braseg F 0047 0027 0074 0014 0807 0004 -4477HSBC F 0054 0032 0109 0018 0950 0006 -823Deutsche F 0058 0013 0122 0028 0863 0004 -305BNP Paribas F 0051 0032 0070 0011 0822 0004 -4145Barclays F 0064 0024 0128 0029 0802 0005 -4051Rabobank Int Brasil SA F 0051 0019 0130 0021 0846 0003 -4992B Nat de Paris Brasil SA F 0043 0019 0070 0019 0819 0005 -3429Ibibank SA - Banco Multiplo F 0049 0010 0083 0020 0785 0013 -161Dresdner Bank - B Multiplo F 0087 0016 0261 0066 0783 0007 -2901Banco Westlb Do Brasil SA F 0051 0030 0082 0019 0850 0009 -1643Banco GE Capital SA F 0053 0028 0239 0044 0859 0009 -1544B Com Uruguai SA F 0071 0017 0217 0054 0845 0003 -48451S - State-owned bank N - National bank and F - Foreign bank

52

Seacuterie de Textos para Discussatildeo do Curso de Ciecircncias Econocircmicas ndash FACEUFG ndash TD [078]

EDITORIAL FACE ndash Faculdade de Administraccedilatildeo Ciecircncias Contaacutebeis e Ciecircncias Econocircmicas Curso de Ciecircncias Econocircmicas Direccedilatildeo FACE Prof Moiseacutes Ferreira da Cunha Vice-Direccedilatildeo FACE Profordf Andreacutea Freire de Lucena Coordenaccedilatildeo do Curso de Ciecircncias Econocircmicas Prof Tiago Camarinha Lopes NEPEC ndash Nuacutecleo de Estudos e Pesquisas Econocircmicas Coordenaccedilatildeo Prof Seacutergio Fornazier Meyrelles Filho SEacuteRIE DE TEXTOS PARA DISCUSSAtildeO DO CURSO DE CIEcircNCIAS ECONOcircMICAS DA UFG Coordenaccedilatildeo e Equipe de Editoraccedilatildeo Prof Sandro Eduardo Monsueto Adriana Moura Guimaratildees Matheus Henrique de Arauacutejo Dutra

Endereccedilo Campus Samambaia Preacutedio da FACE ndash Rodovia GoiacircniaNova Veneza km 0 ndash CEP 74690-900 Goiacircnia ndash GO Tel (62) 3521 ndash 1390 URL httpwwwfaceufgbreconomia Publicaccedilatildeo cujo objetivo eacute divulgar resultados de estudos que contam com a participaccedilatildeo de pesquisadores do NEPEC As opiniotildees contidas nesta publicaccedilatildeo satildeo de inteira responsabilidade do(s) autor(es) natildeo representando necessariamente o ponto de vista do NEPEC ou da FACEUFG Eacute permitida a reproduccedilatildeo desde que citada a fonte

Page 8: 1(3(& )$&( 8)* · The Dark Side of Prudential MeasuresI Paulo R. Scalco a, Benjamin M. Tabak1, Anderson M. Teixeira aFaculty of Management, Accounting and Economics, Federal University

can reduce their lending growth to more sustainable levels and improve their financial sta-

bility However what is the costs of these measures Is there a trade-off in using such

measures We now discuss the market power and bank competition literature to assess the

second strand of the literature that helps us make our connection

In the competition-related literature in the banking industry research models and ap-

proaches generally have a limitation due to the structure and availability of data However

the model of Panzar amp Rosse (1987) - PR - is a standard method when one wants to evaluate

the degree of competition in the industry Only in Brazil we can cite the works of Belaisch

(2003) Araujo amp Jorge Neto (2007) Lucinda (2010) Tabak et al (2012) Silva Barbosa

et al (2015) Tabak amp Gomes (2015) and Cardoso et al (2016) In our investigation we

found only two other studies that did not use the PR model Nakane (2002) uses a structural

model as proposed by Bresnahan amp Reiss (1991) and Coelho et al (2013) use a bank entry

model developed by Bresnahan (1982) Internationally the literature is vast and Bikker

et al (2012) offers a comprehensive survey of the literature developed around the world

Most papers that use the PR H-statistic assume it has a monotonic relationship with

bank competition Panzar amp Rosse (1987) did not establish this monotonic relation between

H-Statistic and the degree of market competition The magnitude of the H-Statistic relates

to ranges of values that refer to the hypothesis underlying the market structure Thus it does

not represent a monotonic relationship with the degree of market power (Panzar amp Rosse

1987 Bikker et al 2012 Cardoso et al 2016) Another problem is that the hypotheses

underlying the equilibria of monopolistic and perfect competition in the PR model use

another extremely restrictive set of hypotheses An important one is that the observed data

is from firms that operate in long-term equilibrium Also the model is susceptible to the

variables used and the specification used in the estimation process of the model (Hyde amp

Perloff 1995) Bikker et al (2012) are more emphatic and argue that the H-Statistic does

not even have an ordinal function with the level of competition in the industry

Given that what the evidence suggests is that H-statistics is not a reliable measure of

the degree of market power in an industry At least not in a continuous sense or monotonic

of measure Hyde amp Perloff (1995) emphasize that although structural models have some

6

influence on the specifications of their functions they would still be the only models capable

of providing an estimate of the degree of market power

Given this context we will use a new class of models to measure the degree of market

power proposed by Kumbhakar et al (2012) and based on stochastic boundary analysis

techniques (SFA) The SFA models have several advantages when compared to the traditional

models of literature known as New Industrial Empirical Organization (NEIO) and allow

estimating in a single model a unified structure a mark-up measure and an indicator of

market power Also we can obtain measures of elasticity return to scale and efficiency

Among the main advantages of SFA models it is possible to emphasize the flexibility

and the low requirement of information for estimations of the models The method also

allows estimating market power with or without constant returns to scale and provides an

estimate of the degree of market power in the same style as the Lerner index (Lerner 1934)

thereby circumventing the critique of the use of H as a monotonic measure of the degree

of competition Another advantage of the method is that unlike most NEIO models this

measure of market power is not only an estimate of the average parameter of the competition

level of the industry but the method also allows estimating a measure of the degree of market

power per bank and over time In the same way it is possible to estimate the returns to

the banksrsquo scale Finally the SFA technique allows the parameter of market power to be a

function of deterministic variables

One of the pioneering works using SFA techniques in the banking industry is the work

of Coccorese (2014) In this article the author estimates the Lerner index for each bank

individually for a group of countries between 1994 and 2012 with the results being broadly

comparable with the traditional NEIO models More recently Das amp Kumbhakar (2016)

have also used this class of models to investigate the market power of Indian banks

We use this model to evaluate the effect of prudential measures on the bankrsquos market

power Combining an SFA method with data on prudential measures we can estimate these

effects We use prudential measures as explanatory variables for the market power parameter

that we estimate in the SFA

7

3 Empirical Method

31 Empirical Model

Our empirical model follows the models proposed by Coccorese (2014) and Das amp Kumb-

hakar (2016) However we incorporate the possibility that the mark-up has two components

a purely stochastic and a deterministic part The derivation of the model starts from the

equilibrium condition that for a profit-maximizing bank (P ) will be greater than or equal

to its Marginal Cost (MC)

P geMC (1)

The distance between P and MC determines the degree of market power of the bank

If we multiply both terms of the inequality in equation 1 by the ratio of the total product

(Y ) and the total cost (C) and considering that MC = partCpartY

we have

P middot YCge partC

partY

Y

C (2)

or

TR

Cge partlnC

partlnY (3)

Where TR corresponds to the total revenue and the relationship established in equation 3

states that in the same way as price deviates from its marginal cost the revenue-cost ratio

of the bank (TRC) detracts from its cost-elasticity

The inequality in equation 3 can be solved by adding a non-negative term u Thus

RC equiv TR

C=

partlnC

partlnY+ u u ge 0 (4)

RC is the observed revenue-cost ratio and partlnCpartlnY

is the cost-elasticity The non-negative

term u represents the mark-up of the bank however it can not be calculated using the

bankrsquos accounting data because the cost elasticity unlike RC must be calculated from a cost

8

function In addition the revenue-cost ratio can be affected by other unobserved variables

To accommodate this assumption we add a random error term iid v to equation 4

RC =partlnC

partlnY+ u+ v (5)

32 Primal Approach

As equation 5 has been defined we need to specify a cost function to estimate the term

u that is we are using a dual approach in the context of production theory Kumbhakar

et al (2012) show however that SFA models can use both the dual and primal approaches

to estimate market power In the dual approach the total cost of the bank depends on

the output quantity and input prices and the primal approach we can specify a produc-

tion function (or an input-distance function) where the output is a function of only input

quantities

This flexibility is essential because unlike many examples in the banking industry we do

not have information available on input prices When empirical models need this informa-

tion such as the PR model for example researchers circumvent this problem by estimating

input price estimates from accounting information such as the ratio between expenditure

and the amount of input used (expenditure on staff on total assets for example) The use

of this artifice however as highlighted by Kumbhakar et al (2012) can generate problems

in situations where the amount of input is endogenous

Thus like Das amp Kumbhakar (2016) we use the primal form as an alternative to the dual

form We start from the specification of a transformation function defined as Af(x Y T ) =

1 where f(middot) is a production function for a given technology Y is the quantity produced x

is the quantity vector of inputs used T is a trend variable capturing technological changes

and A is a parameter of neutral technological shift

Using a set of appropriate identification restrictions (Kumbhakar 2012) we can derive a

function input distance (IDF) from the transformation function given by xJ = Ah(x Y T )

or lnxJ = Ah(ln x lnY T ) where xj =xj

xJ j = 1 2 J minus 1 The IDF uses the normal-

ization that f(x Y T ) is homogeneous of degree minus1 iesum

jpartlnfpartlnxj

= minus1

9

Assuming that banks minimize the cost subject to technology specified by the production

function the Lagrangian for the minimization can be defined as

L = wrsquox + λ(Af(x Y T )minus 1) (6)

where w is a vector of input prices and the corresponding first order condition is

wj = minusλApartf(middot)partxj

j = 1 2 J (7)

Multiplying and dividing both sides by xj and f(middot) and rearranging terms we can

rewrite 7 as

wjxj = minusλAf(middot)partf(middot)partxj

xjf(middot)

= minusλAf(middot)partlnf(middot)partlnxj

j = 1 2 J (8)

If we take the sum of all inputs equation 8 becomes

C =Jsum

j=1

wjxj = minusλAf(middot)Jsum

j=1

partlnf(middot)partlnxj

rArr minusλA =C

f(middot)middot 1sumJ

j=1partlnf(middot)partlnxj

(9)

From the envelop Theorem we have that the marginal cost (MC) is partLpartYequiv MC =

λApartf(middot)partY

= 0

If we use equation 9 we can express it as

MC = minus C

f(middot)middot 1sumJ

j=1partlnf(middot)partlnxj

middot partf(middot)partY

partC

party

Y

Cequiv partlnC

partlny= minuspartf(middot)

partY

Y

f(middot)middot 1sumJ

j=1partlnf(middot)partlnxj

EC equivpartlnC

partlny= minuspartlnf(middot)

partlnYmiddot 1sumJ

j=1partlnf(middot)partlnxj

=partlnf(middot)partlnY

equiv EY (10)

Equation 10 states that the Cost Elasticity (EC) equals Product elasticity (EY ) which

can be calculated from the parameters of the distance input function (IDF) This result

10

is important because it means that we can substitute the term on the right side of the

equation 5 by product elasticity that is

RC =partlnf(middot)partlny

+ u+ v u ge 0 (11)

The advantage of estimating equation 11 rather than equation 5 is that we can estimate

mark-ups without the need for input and output prices that is we only need the information

on revenue and total cost of banks and the respective input quantities

In order to estimate the mark-up defined in equation 11 we assume that the transforma-

tion function takes a form of the translog type and apply the appropriate normalizations as

in Kumbhakar (2012) to express the transformation function in the form of an input input

function given by

lnx1 = α0 +Jminus1sumj=1

αjlnxj +1

2

Jminus1sumj=1

Jsumk=2

αjklnxjlnxk

+ αY lnY +1

2αY Y (lnY )2 +

Jminus1sumj=1

αjY lnxjlnY+ + αTT +1

2αTTT

2

+Jminus1sumj=1

αjT lnxjT + αY TT lnY

(12)

from which we can derive the product-elasticity as

EY equivpartlnx1partlnY

= αY + αY Y lnY +Jminus1sumj=1

αjY lnxj + αY TT (13)

where xj =xj

xJ j = 1 2 J minus 1

Replacing equation 13 in equation 11 we define our empirical equation as

RC = αY + αY Y lnY +Jminus1sumj=1

αjY lnxj + αY TT + u+ v (14)

As highlighted by Kumbhakar et al (2012) once that we are interested in estimating

the individual mark-up of each bank we need to focus only on 14 without the need to

11

estimate the full distance input function defined by 12 Besides since the compound error

term (ε = u + v) is the same in the SFA models we use the Maximum Likelihood method

to estimate the model (14) For this it is necessary to assume a hypothesis about the

distribution of the two components

We follow the literature and assume that the random error component v is independent

and identically distributed with a normal distribution zero mean and constant variance

that is v sim N(0 σ2v) On the other hand for the nonnegative component u representing

the banksrsquo mark-up we extend the models of by Coccorese (2014) and Das amp Kumbhakar

(2016) and separating the deviation from the competitive frontier in a deterministic part

which is a function of a vector of explanatory variables Zrsquo of the purely stochastic part

Following the SFA literature we estimate the deterministic component of mark-up si-

multaneously with the parameters of the 14 in the same way as Lopez et al (2018) This

procedure reduces possibility of bias of the estimates when the stochastic term includes

determinants of deviations Thus the mark-up (u) in 14 can be represented by

u = Zrsquoδ + ω (15)

where ω is the stochastic component of mark-up and is defined by a truncated normal

distribution with zero mean and constant variance σ2ω such that ω ge -Zrsquoδ Therefore the

mark-up (u) follows a distribution u sim N+(Zrsquoδ σ2ω)

Combining equations 14 and 15 the model we estimate is as follows

RC = αY + αY Y lnY +Jminus1sumj=1

αjY lnxj + αY TT + Zrsquoδ + ωit + v (16)

In order to verify the impact of prudential measures on the degree of competition we

have included the measures Cerutti et al (2016) as determinants of mark-up in addition to

a measure of concentration represented by the HHI calculated from the total assets of the

banks

12

33 Market Power

To measure the degree of power of each bank we use the traditional measure defined by

Lerner (1934)

L =P minusMC

P (17)

if L = 0 P = MC and for any value L gt 0 P gt MC In the limit L = 1

The connection between the SFA model (equation 16) and the Lerner index is done

rearranging the equation 5 Omitting the error term (v) for simplification we can rewrite

equation 5 as

P middot YC

partlnY

partlnCminus 1 = u

partlnY

partlnCmiddot (18)

Considering that partlnYpartlnC

= (partYpartC

)(CY

) we have

P minusMC

MC=

u

EC

middot (19)

Equation 19 corresponds to an alternative definition of mark-up called θ where the

distance between price and marginal cost is expressed as a fraction of the latter In addition

since the function input distance is dual the cost function we can substitute EC for EY in

equation 19 and after estimating equation 16 and obtain estimates of the mark-up (u) the

estimation of market power can be obtained by replacing the values estimated in equation 19

as follow

θ equiv P minusMC

MC=

u

αY + αY Y lnY +sumJminus1

j=1 αjY ln xj + αY TT (20)

This estimate can be used to obtain the traditional measure of Lerner index as in

equation 16 employing the following formula

L =θ

1 + θ (21)

13

34 Returns to Scale

Finally we can use the estimates of equation 16 to obtain other characteristics of tech-

nology such as the return to scale and the scale bias Formally EC = partlnCpartlnY

= (partCpartY

)(YC) =

MCAC where AC represents the average cost This means that the return to scale is

inversely related to cost elasticity that is RTS = 1EC If EC = 1 we will have constant re-

turns to scale if EC lt 1 we will have increasing returns (economies of scale) and if (EC gt 1)

we will have decreasing returns (diseconomies of scale) Again using the duality condition

between IDF and the cost function we can use the estimates of equation 16 to calculate the

return to scale and scale bias Respectively

RTS =1

αY + αY Y lnY +sumJminus1

j=1 αjY ln xj + αY TT(22)

and

Scale Bias = αY T (23)

If the scale bias parameter (αY T ) is statistically significant and greater than zero this

suggests that technological change is reducing economies of scale over time

4 Database and empirical approach

The database used can be divided into two parts The first part includes the information

of all FI authorized to operate in Brazil by the Brazilian Central Bank (BCB) This infor-

mation is available on the BCBrsquos website through the IFdata system and contains detailed

information on the balance sheet income statement and credit portfolio of all IFs In ad-

dition data are available on an individual basis as well as on financial conglomerates and

prudential conglomerates1 For this work we use the concept of financial conglomerates In

1The BCB defines as a financial conglomerate the group of financial entities directly or unrelated byshareholding or by effective operational control characterized by standard management or by operatingin the market under the same brand or commercial name (Circular note no 1273 from Brazilian CentralBank) The concept of a prudential conglomerate in turn encompasses a broader universe of entities suchas consortium administrators payment institutions and companies that purchase credit operations (Officedocument no 1273 from Brazilian Central Bank)

14

December 2018 there was information on a total of 2753 IFs between commercial banks

or multiple banks with and without commercial portfolios credit cooperatives development

banks among others arranged quarterly since the first quarter of 2000

Our sample was restricted only to commercial banks or multiple banks with commercial

portfolios and savings banks Banks with loan portfolio equal zero and did not contain

information for at least three consecutive years were excluded In the same way we excluded

banks with observations that fell bellow 1st percentile of the sample for each one of variables

used in the model or above 99th percentile only for the dependent variable RC = TRC

Furthermore we chose to work with the data on a semi-annual basis (June and December

base dates) because inconsistencies we have found in some quarterly accounting data After

applying all these criteria our sample was restricted to a panel with only 83 banks between

the first half of 2000 and the second half of 2014 totaling 1818 observations2 In terms

of representativeness our sample with only 83 banks corresponded to 794 of the total

assets and 817 of the credit portfolio of the entire SFN in December 2014

The second database was obtained from Cerutti et al (2016) In this unprecedented

database the focus is on the change and intensity in the use of a set of prudential instruments

classified as micro-prudential and macro-prudential3 They collect the data for 64 countries

with a quarterly period covering the period between the first quarter of 2000 and the fourth

quarter of 2014 In the database in addition to a considerable number of countries the

information collected by the authors has the objective of mapping the intensity and the

change occurring quarterly in each of the prudential instruments

The original instruments of the database are the capital requirement capital buffer

interbank exposure limit concentration limit maximum loan amount commonly known as

Loan-to-value and reserve requirement

Concerning the capital requirement instrument we can understand it as an imposition

2Although the BCB has information until the second half of 2018 the database with prudential variablesavailable in the article by Cerutti et al (2016) goes only until the second half of 2014

3The database of Cerutti et al (2016) is a considerable advance to the available prudential data collectedso far in Lim et al (2011) and Cerutti et al (2017a) In both studies the focus is on only identifying whetheror not the country has implemented the appropriate prudential instrument

15

for a compulsory deposit with the BCB of demand deposits of financial institutions Capital

buffer serves as a buffer against countercyclical capital whose purpose is to protect the

banking sector in periods of excessive credit growth which is associated with increased

systemic risk On the other hand in periods of credit constraint the buffering capital may

decrease and thus not affecting the performance of the real side of the economy

The interbank exposure limit is a liability limiter maintained by the banking sector as a

whole or by a particular bank By the concentration limit we mean a procedure that limits

the fraction of assets concentrated to a limited number of borrowers

Loan-to-value is a restriction to the borrower or activity It is the imposition of maximum

amounts of loans on the value of collateral or even maximum amounts of indebtedness to the

income of the borrower Finally we can interpret a reserve requirement as an instrument

whose purpose is to limit the multiplication of money in the economy through the imposition

of compulsory deposits with the Central Bank

The prudential capital buffer instrument was broken down into the following categories

general capital requirement real estate credit consumer credit and others We decompose

the reserve requirement instrument into two sub-indices local domestic currency and foreign

currency

Information on intensity and change in prudential tooling is collected as follows by the

researchers If the financial regulator tightens the instrument in question in a specific quarter

the index assumes a value of +1 On the other hand if the same instrument undergoes

relaxation or loosening the value of minus1

Finally the index receives a value of zero if there was no change in the prudential

instrument in that quarter4 According to Cerutti et al (2016) in addition to capturing the

intensity of change in such a prudential policy this type of coding incorporates qualitative

characteristics of the policy that are lost by the type of dichotomous coding (1 if implemented

and 0 otherwise) Despite the simplicity of the coding used it is imperfectly able to measure

direction in policy change Not all the instruments available on the original basis were used

4For more details on how the base was built see Cerutti et al (2016)

16

because some measures were not implemented by the BCB Examples are the capital buffer

for real estate credit the concentration limit of banks to sectors or borrowers and the limit

on interbank exposure

Moreover due to the low variability in most measures and the semi-annual structure

of the database obtained in the BCB we chose to use the cumulative indexes of variation

According to Cerutti et al (2016) the purpose of this cumulative index is to capture the

level of tightness or looseness over a given period Finally to capture an overall measure of

prudential instruments we aggregate all variations of prudential instruments into a single

aggregate instrument called cumulative prudential Table A5 attached illustrates the

change and the intensity of the prudential instruments implemented by Brazil according to

the data collected by Cerutti et al (2016)

Our empirical strategy consists in estimating the equation 16 by Maximum Likelihood in

a two-stage procedure wherein the first stage we obtain the estimates of the parameters of

the equation and in the second stage we calculate the estimates of uit using the conditional

mean estimator of Jondrow et al (1982)

After obtaining the estimates of u and RC equiv EY we use equation 20 to calculate the

estimated values of θ which are used to calculat e the Lerner Index (L) according to

equation 21

We estimated six models wif different sets of deterministic variables (prudential measures)

to control the parameter of market power (uit) In the first model we did not add any

controls In the second we include only the HHI In the third specification we include the

capital buffer and capital requirement The fourth model uses only the loan-to-value In the

fifth model we include reserve requirements in both foreign and local currency and in the

last model we include the cumulative prudential measure which is the sum of the changes

in all other prudential measures

The inclusion of prudential variables in a separated way was necessary because they

represent only the tightening or the loosening of the prudential instrument Therefore they

do not represent the change in the magnitude of the prudential instrument As such the

variables have little variability and the high correlation generated between them causes

17

severe problems in the estimation process by maximum likelihood In general the tests with

the aggregate models did not reach the convergence of likelihood function even using different

strategies for initial values or optimization algorithm and when the optimization reaches an

optimal state the estimates were inconsistent For this reason we chose to estimate simpler

models including prudential variables separately or at most two when they represented

similar measures

Besides two critical events occurred in the second half of 2008 and significantly changed

the structure and dynamics of the banking industry in Brazil The outbreak of the subprime

crisis in the US and the acquisition of Unibanco by Itau in Brazil5 Itau-Unibanco has become

the largest bank in Brazil (Itau-Unibanco) accounting for 191 of total SFN assets and

184 of the total loan portfolio in the second half of 2008

We can observe the increase in market concentration in Figure 1 which represents HHI

concentration indices for total assets and total credit portfolio The increase in concentra-

tion levels of the banking industry on the other hand also coincides temporarily with the

outbreak of the GFC and an increase in rigidity in prudential instruments after the onset of

the crisis6

These events result in a high correlation between the variables and making it more

difficult to isolate the effects of each variable on the parameter of market power In this

way we also chose to estimate an HHI-only model as the control variable of market power

(uit)

Figure 1 Evolution of the Herfindahl Index (HHI) over time using credit and total assets

for the Brazilian banking system

We summarize the description of the variables that we will use in the estimation of

5Unibanco was the sixth largest Brazilian bank in the first half of 2008 accounting for 59 of total SFNassets and 6 of the total loan portfolio Also Itau was the third largest bank with 118 of SFN and119 of the loan portfolio

6Cubillas amp Suarez (2018) find the same result as the banksrsquo market power increased shortly after theGFC

18

equation 16 and how we calculate them in Table 1 All variables included in equation 16

except for trend prudential variables an HHI are in the logarithms form

Table 1 Variables used to IDF estimatation

5 Empirical Results

We present the results of the models in Table 2 Initially focusing on the interpretation

of the parameters of the input-distance function we verified that the size of the IF credit

portfolio (lnY ) has a negative sign but it was significant only for models 1 4 and 5 This

result implies that the larger the portfolio size the lower the revenue-cost ratio of the FI

Table 2 Results of IDF estimation

The coefficients of Staff costs (lnx1) and volume of funding (lnx2) were also negative

and significant in all models Thus the higher the staff costs and the higher the funding

volume the lower the cost-to-cost ratio of the FIs The trend variable as established by

equation 23 represents the scale bias and the negative sign would indicate that technological

change would increase economies of scale over time however no estimate was significant

51 Impact of Prudential Measures on Mark-up

The evaluation of the variables that determine the mark-up parameter (u) shows that

all of them are statistically significant and positive The SFA model is not linear in these

parameters Therefore the value of the coefficients does not represent the effect of the

magnitude of changes in the variables on the mark-up (their elasticities) However we can

estimate their marginal effects We present them for each variable in Figure 2

19

Figure 2 Marginal effects of HHI and prudential instruments (Capital Buffer Capital

RequirementLTV Reserve Requirement (Foreign) Reserve Requirement (domestic) and

cumulative prud) on themark-upucomponent

The positive sign of HHI in model 2 means that the more concentrated the banking

industry is the higher the market power of FIs This result is in line with that established by

the traditional structure-conduct-performance paradigm (Schmalensee 1989) However as

can be seen in Figure 1 the increase in the concentration index coincides with the tightening

of the prudential measures stemming from the GFC In this sense we can not say whether

this is the real effect of the increase in market concentration on the market power of FIs or

whether it is affected by the tightening of prudential measures

If we focus on prudential instruments the results for capital buffers and the capital

requirement (model 3) indicate that a tightening in these variables - whose purpose is to

increase banksrsquo capital reserve during positive shocks in the economy - has a detrimental

effect on competition market since they raise the IF mark-ups This effect happens because

this prudential measure influences the smoothing of the credit supply cycle

The same results are present for the loan-to-value variable (model 4) In general this

measure sets limits on the leverage of mortgages and other securities and a tightening in

ltv is effective in controlling possible booms in the real estate market by reducing real estate

prices and ultimately reducing the excess volatility of the economy ((Zhang amp Zoli 2016

Ely et al 2019) According to the result found the higher the limits the greater the market

power of the FIs

With respect to reserve requirements both in foreign and local currency - credit limits

directly in foreign currency and domestic currency respectively - the results (model 5) also

demonstrate a detrimental effect on competition since the tightening in such measures also

implies an increase mark-up of IFs In the model 6 where we introduce the aggregate

prudential measure the result found is similar to the others that is the higher the tightness

(in general) in the prudential measures of the financial system the higher the market power

of FIs

20

Unfortunately since prudential variables represent only a measure of tightening or loos-

ening of prudential policy and not its magnitude we can not accurately assess the impact

of these variables on the mark-up The marginal effects represented in Figure 2 give us only

an idea of how such variables affected the estimated mark-ups

However in general we can say that the positive signs of the estimates mean that the

higher the tightness in these prudential policies the greater the mark-up and consequently

the higher the market power of the FIs Therefore we find a perverse effect on industry

competition and probably a loss of borrowers welfare

Our results are in accordance with the evidence that the increase in prudential rigor has

negative impacts mainly on the supply of credit (Lim et al 2011 Claessens 2015 Aiyar

et al 2014 Gropp et al 2018 Cerutti et al 2017a) Ceteris paribus the increase of IF

mark-ups would be a fully expected effect As highlighted by Claessens amp Laeven (2004) any

policy that restricts the activity of banks and hinders their operation has negative impacts

on market competition

52 Estimation of Lerner indices

Regarding the mark-up estimation the values reported at the bottom of Table 2 corre-

spond to the distance between the observed revenue-cost ratio and its competitive boundary

that is the component u

To interpret the mark-up however we will focus the discussion on the estimates of

Lerner index (equation 21) because they have a more unambiguous economic meaning We

summarize the results of Lerner index for general estimates by type of control and for each

model in Table 3 and the Figure 3 shows their frequency distributions We should emphasize

that these estimates are individuals that is we obtain the estimates for each IF and at each

period t The tables in Annex (A6 to A11) summarizes the estimates of the Lerner index

and the returns to scale for each IF in the sample

Table 3 Estimates of Lerner index general and by type of control

21

Figure 3 Frequency distribution of Lerner indexes for each model and density estimation

Kernel by typeof control

For all six models all mark-up estimates were within the theoretical range of 0 and 1

with the minimum value being 0009 (model 2) and the maximum value 0362 (model 3) In

general the estimated average value was between 0051 (model 2) and 0058 (models 1 and

5) which means that on average Brazilian banks have a mark-up between 51 and 58

These values are slightly different when we separate the estimates by type of control

In the case of state-owned banks the average mark-up was between 0047 (model 2)

and 0057 (model 1) These values are lower in all the estimated models to the values

of (privates) national banks (0052-0057) and foreign banks (0050-0061) However the

medians of estimated values for state-owned banks were higher than the national and foreign

private banks in all models

For comparison purposes these values are considerably lower than the value (016) esti-

mated for Brazil in Coccorese (2014) We believe that this difference is due to the model and

sample used Coccorese (2014) has estimated the dual version of model (equation 5) and

as highlighted by Kumbhakar et al (2012) the use of accounting information to calculate

input prices can generate problems when they are endogenous

Regarding the sample Coccorese (2014) also used a different period from ours (1994 to

2012) and a more significant number of IFs in the sample (189 against 83 used by us) The

main difference here is in the number of IF - 106 in total In this respect it is essential to

note that these FIs constitute small FIs and in the second half of 2014 they held only 37

of total SFN assets and 24 of the total credit portfolio

We tried to replicated the Coccoresersquo sample but in preliminary tests we have found great

difficulties in the models estimations in particular at convergence of likelihood function

We observed these small IFs had in several situations extremely high values for the revenue-

cost ratio or excessively low for the inputs used (personnel expenses and funding) as well

as other problems such as launch errors (positive values in variables of expenditure for

example) and missings For these reasons and considering that such IFs represented only a

22

small fraction of Brazilian credit market we decided to exclude them from the sample

However It is worth highlight as they are small FIs the vast majority operate in particular

segments of the credit market and probably assume a more risk-taking behavior Considering

that they will work with a segment of credit claimants with rdquoworse scoresrdquo than borrowers

using large FIs we expect that the mark-up of these IFs will be higher We can observe

(part of) this phenomenon in Figure 4 where we represent the estimates of the Lerner index

(vertical axis) against market share of total assets (horizontal axis) of our sample and it is

quite evident the smaller banks have the higher mark-ups Therefore as our sample exclude

a large proportion of these small IFs it is natural that Coccorese (2014)rsquo results larger than

ours

Figure 4 Lerner indexes according to the size (market share) of banksrsquo assets

Regardless of this our results seem to adhere well to reality because if we look at Figure

5 we note that the Lerner indices show a significant increase from the second semester of

2008 These results are in agreement with the results of Cubillas amp Suarez (2018) Besides

in Figure 6 Lerner indexes are separated by type of control and we can observe that with

some exceptions the market power has always been lower for state-owned banks especially

considering the period after the GFC

Figure 5 Average Lerner indices for each model between 2000q2 and 2014q4

Figure 6 Average Lerner indices estimated for public private national and private

foreign banks between2000q2 and 2014q4

23

53 Estimation of Returns to Scale

Finally Table 4 and Figure 7 summarize the estimates of returns to scale We highlight

that the average of the returns to the scale of the Brazilian FIs is very close if we comparer

the six estimated models (between 0848 and 0851) Although the values are close to unity

in all IFs we reject the hypotheses of constant returns to the scale that is RTS = 1 therefore

IFs have diseconomies of scale

Table 4 Estimates of returns to scale by control type and general

When we separate estimates by type of control the estimates of state-owned banks

(0937-0944) are higher than national (0824-0829) and foreign banks (0841-0844) This

result means that the scale problem is a problem common to all FIs in Brazil Moreover

state-owned banks runs closer to the constant return region than national and foreign banks

Figure 7 Frequency distribution of the returns to scale indexes for each model and

density estimationKernel by type of control

6 Final Considerations

Considering that the banking industry underwent a significant restructuring in recent

years caused by several mergers and acquisitions in the sector as well as by a severe financial

crisis started in mid 2007 and potentialized in 2008 understand the behavior of market

power and as a (partial) set of prudential instruments influencing this dynamic has become

paramount Thus in an innovative way this paper proposed the use of stochastic frontier

analysis techniques to measure market power for the Brazilian banking industry and to test

if such prudential measures had an impact on the competitive dynamics of sector

The estimated average Lerner index was between 51 and 58 for Brazilian FIs How-

ever when controlled by the type of control we find that state-owned banks have slightly

24

lower estimates than national and foreign banks respectively Also estimates of returns to

scale allow us to infer that FIs operate with diseconomies of scale

Concerning the impact of prudential measures on the market power of FIs our results

generally suggest that tightening of prudential measures have a positive impact on bank

mark-up and consequently have detrimental effects on competition in industry banking

Finally in future research it will be possible to better understand the influence of some

prudential measures in the banking market through the study by type of segment or line of

credit

25

References

Aiyar S Calomiris C W amp Wieladek T (2014) Does macro-prudential regulation leak ev-

idence from a uk policy experiment Journal of Money Credit and Banking 46 181ndash214

URL httpsonlinelibrarywileycomdoiabs101111jmcb12086 doi101111jmcb12086

arXivhttpsonlinelibrarywileycomdoipdf101111jmcb12086

Altunbas Y Binici M amp Gambacorta L (2018) Macroprudential policy and bank risk Journal of

International Money and Finance 81 203ndash220 doihttpsdoiorg101016jjimonfin201711

012

Araujo L A D d amp Jorge Neto P d M (2007) Risco e competicao bancaria no Brasil Revista Brasileira

de Economia 61 175ndash200 URL httpwwwscielobrscielophpscript=sci_abstractamppid=

S0034-71402007000200003amplng=enampnrm=isoamptlng=pt doi101590S0034-71402007000200003

Auer R amp Ongena S (2019) The countercyclical capital buffer and the composition of bank lending

Available at SSRN 3345189

Ayyagari M Beck T amp Peria M (2018) The micro impact of macroprudential policies Firm-level

evidence IMF Working Paper

Barbosa K de Paula Rocha B amp Salazar F (2015) Assessing competition in the banking indus-

try A multi-product approach Journal of Banking amp Finance 50 340ndash362 URL httpwww

sciencedirectcomsciencearticlepiiS0378426614001642 doi101016jjbankfin201405

003

Belaisch A (2003) Do Brazilian Banks Compete SSRN Scholarly Paper ID 879189 Social Science Research

Network Rochester NY URL httpspapersssrncomabstract=879189

Bikker J A Shaffer S amp Spierdijk L K (2012) Assessing competition with the panzar-rosse model

The role of scale costs and equilibrium Economics Letters 94 1025ndash1044

Bresnahan T F (1982) The oligopoly solution concept is identified Economics Letters 10 87ndash92 URL

httpdxdoiorg1010160165-1765(82)90121-5 doi1010160165-1765(82)90121-5

Bresnahan T F amp Reiss P (1991) Entry and competition in concentrated markets Journal of Political

Economy 99 977ndash1009

Camors C amp Peydro J (2014) Macroprudential and monetary policy Loan-level evidence from reserve

requirement Mimeo Universitat Pompeu Fabra URL httpspdfssemanticscholarorgd508

61639bb4e7453a7a39184edf9b0c1e7016a6pdf

Cardoso M Azevedo P F amp Barbosa K (2016) Concorrencia no setor bancario brasileiro bancos

individuais versus conglomerados bancarios (pp 113ndash146) URL httprepositorioipeagovbr

handle110586650

Cerutti E Claessens S amp Laeven L (2017a) The use and effectiveness of macroprudential policies New

26

evidence Journal of Financial Stability 28 203ndash224 doihttpsdoiorg101016jjfs201510

004

Cerutti E Correa R Fiorentino E amp Segalla E (2016) Changes in prudential policy instruments ndash a

new cross-country database IMF Working Paper WP1610

Cerutti E Dagher J amp DellrsquoAriccia G (2017b) Housing finance and real-estate booms A cross-country

perspective Journal of Housing Economics 38 1ndash13

Claessens S (2015) An overview of macroprudential policy tools Annual Re-

view of Financial Economics 7 397ndash422 URL httpsdoiorg101146

annurev-financial-111914-041807 doi101146annurev-financial-111914-041807

arXivhttpsdoiorg101146annurev-financial-111914-041807

Claessens S Ghosh S R amp Mihet R (2013) Macro-prudential policies to mitigate financial system

vulnerabilities Journal of International Money and Finance 39 153ndash185 doihttpsdoiorg10

1016jjimonfin201306023

Claessens S amp Laeven L (2004) What drives bank competition some international evidence Journal

of Money Credit and Banking 36 563ndash583 URL httpwwwjstororgstable3838954

Coccorese P (2014) Estimating the Lerner index for the banking industry a stochastic frontier approach

Applied Financial Economics 24 73ndash88 URL httpdxdoiorg101080096031072013866202

doi101080096031072013866202

Coelho C A De Mello J M amp Rezende L (2013) Do Public Banks Compete with Private

Banks Evidence from Concentrated Local Markets in Brazil Journal of Money Credit and Bank-

ing 45 1581ndash1615 URL httponlinelibrarywileycomdoi101111jmcb12063abstract

doi101111jmcb12063

Cubillas E amp Suarez N (2018) Bank market power and lending during the global financial crisis Jour-

nal of International Money and Finance 89 1ndash22 URL httpwwwsciencedirectcomscience

articlepiiS0261560618303048 doihttpsdoiorg101016jjimonfin201808003

Das A amp Kumbhakar S C (2016) Markup and efficiency of Indian banks an input distance func-

tion approach Empirical Economics (pp 1ndash31) URL httplinkspringercomarticle101007

s00181-015-1062-4 doi101007s00181-015-1062-4

Ely R Tabak B amp Teixeira A (2019) Heterogeneous effects of the implementation of macroprudential

policies on bank risk MPRA Paper No94546

Freixas X Laeven L amp Peydro J-L (2015) Systemic Risk Crises and Macroprudential Regulation

Mit Press URL httpwwwjstororgstablejctt17kk82g

Galati G amp Moessner R (2013) Macroprudential policy ndash a literature review Jour-

nal of Economic Surveys 27 846ndash878 URL httpsonlinelibrarywileycom

27

doiabs101111j1467-6419201200729x doi101111j1467-6419201200729x

arXivhttpsonlinelibrarywileycomdoipdf101111j1467-6419201200729x

Gropp R Mosk T Ongena S amp Wix C (2018) Banks Response to Higher Cap-

ital Requirements Evidence from a Quasi-Natural Experiment The Review of Finan-

cial Studies 32 266ndash299 URL httpsdoiorg101093rfshhy052 doi101093rfshhy052

arXivhttpoupprodsislanrfsarticle-pdf32126627185080hhy052pdf

Hyde C E amp Perloff J M (1995) Can market power be estimated Review of Industrial Organization 10

465ndash485 URL httplinkspringercomarticle101007BF01024231 doi101007BF01024231

Igan D amp Kang H (2011) Do loan-to-value and debt-to-income limits work evidence from korea IMF

Working Papers (pp 1ndash34)

Jimenez G Ongena S Peydro J-L amp Saurina J (2017) Macroprudential policy countercyclical bank

capital buffers and credit supply Evidence from the spanish dynamic provisioning experiments Journal

of Political Economy 125 2126ndash2177 URL httpsdoiorg101086694289 doi101086694289

arXivhttpsdoiorg101086694289

Jondrow J Knox Lovell C A Materov I S amp Schmidt P (1982) On the estimation of technical

inefficiency in the stochastic frontier production function model Journal of Econometrics 19 233ndash

238 URL httpwwwsciencedirectcomsciencearticlepii0304407682900045 doi101016

0304-4076(82)90004-5

Klingelhoger J amp Sun R (2019) Macruprudential policy central banks and financial stability Evidence

from china Journal of International Money and Finance 93 19ndash41 URL httpsdoiorg101016

jjimonfin201812015

Kumbhakar S C (2012) Specification and estimation of primal production models European Journal

of Operational Research 217 509ndash518 URL httpwwwsciencedirectcomsciencearticlepii

S0377221711008939 doi101016jejor201109043

Kumbhakar S C Baardsen S amp Lien G (2012) A New Method for Estimating Market Power with

an Application to Norwegian Sawmilling Review of Industrial Organization 40 109ndash129 URL http

linkspringercomarticle101007s11151-012-9339-7 doi101007s11151-012-9339-7

Lerner A P (1934) The Concept of Monopoly and the Measurement of Monopoly Power The Review

of Economic Studies 1 157ndash175 URL httprestudoxfordjournalsorglookupdoi102307

2967480 doi1023072967480

Lim C H Costa A Columba F Kongsamut P Otani A Saiyid M Wezel T amp Wu X (2011)

Macroprudential policy what instruments and how to use them lessons from country experiences IMF

working papers (pp 1ndash85)

Lopez R A He X amp Azzam A (2018) Stochastic frontier estimation of market

28

power in the food industries Journal of Agricultural Economics 69 3ndash17 URL https

onlinelibrarywileycomdoiabs1011111477-955212219 doi1011111477-955212219

arXivhttpsonlinelibrarywileycomdoipdf1011111477-955212219

Lucinda C R (2010) Competition in the Brazilian loan market an empirical analysis Estudos Economicos

(Sao Paulo) 40 831ndash858 URL httpwwwscielobrscielophpscript=sci_abstractamppid=

S0101-41612010000400004amplng=enampnrm=isoamptlng=en doi101590S0101-41612010000400004

Moreno R (2011) Policymaking from arsquomacroprudentialrsquoperspective in emerging market economies

Nakane M I (2002) A test of competition in brazilian banking Estudos Economicos (Sao Paulo) 32

203ndash224 URL httpwwwrevistasuspbreearticleview117799

Panzar J C amp Rosse J N (1987) Testing for rdquomonopolyrdquo equilibrium The Journal of Industrial

Economics 35 443ndash456 URL httpwwwjstororgstable2098582 doi1023072098582

Richter B Schularick M amp Shim I (2019) The costs of macroprudential policy Journal of Inter-

national Economics 118 263 ndash 282 URL httpwwwsciencedirectcomsciencearticlepii

S0022199618302617 doihttpsdoiorg101016jjinteco201811011

Schmalensee R (1989) Chapter 16 inter-industry studies of structure and performance In Hand-

book of Industrial Organization (pp 951ndash1009) Elsevier BV URL httpdxdoiorg101016

s1573-448x(89)02004-2 doi101016s1573-448x(89)02004-2

Silva M S d () Avaliacao do processo de concentracao-competicao no setor bancario brasileiro URL

httpwwwbcbgovbrpecwpsporttd377pdf

Tabak B amp Gomes G (2015) The impact of market power at bank level in risk-taking The brazilian

case International Review of Financial Analysis 40 154ndash165

Tabak B M Fazio D M amp Cajueiro D O (2012) The relationship between banking market competition

and risk-taking Do size and capitalization matter 36 3366ndash3381 URL httpwwwsciencedirect

comsciencearticlepiiS0378426612002026 doi101016jjbankfin201207022

Wong T Fong T Li K-f amp Choi H (2011) Loan-to-value ratio as a macroprudential tool-hong kongrsquos

experience and cross-country evidence

Zhang L amp Zoli E (2016) Leaning against the wind Macroprudential policy in asia Journal of Asian

Economics 42 33ndash52

29

Figure 1 Evolution of the Herfindahl Index (HHI) over time using credit and total assets for theBrazilian banking system

30

Figure 2 Marginal effects of HHI and prudential instruments (Capital Buffer Capital RequirementLTV Reserve Requirement (Foreign) Reserve Requirement (domestic) and cumulative prud) on the

mark-up u component

31

Figure 3 Frequency distribution of Lerner indexes for each model and density estimation Kernel by typeof control

32

Figure 4 Lerner indexes according to the size (market share) of banksrsquo assets

33

Figure 5 Average Lerner indices for each model between 2000q2 and 2014q4

34

Figure 6 Average Lerner indices estimated for public private national and private foreign banks between2000q2 and 2014q4

35

Figure 7 Frequency distribution of the returns to scale indexes for each model and density estimationKernel by type of control

36

Table 1 Variables used to IDF estimatation

Variabel Description SourceBasic variables

TR Total Revenue = Gross Insterest Income (a) + Bank-ing Service Fee Income (d1) + Banking Fee Income(d2) + Other Operating Income (d7)

Inc statIFData

TC Total Cost = Interest Expenses (b) + Personnel Ex-penses (d3) + Administrative Expenses (d4) + TaxExpenses (d5) + Other Operating Expenses (d8)

Inc statIFData

Y Loan Lease and Other Credit Operations by RiskLevel

SummaryIFData

x1 Personnel Expenses (d3) Inc statIFDatax2 Funding (e) LiabilitiesIFDatax3 Equity (j) LiabilitiesIFData

Model variabelslnRC Log of Revenue-Cost ratiolnY Log of total loanlnx1 Log of personnel expenses and equity ratio (x1x3)lnx2 Log of funding and equity ratio (x2x3)T Time

Prudential variables - Deterministic mark-up parametersHHIt HHIt =

sumS2it where Sit

2 is market share of totalasset of bank i on time t

Inc statIFData

cb cumulative change of capital buffer Cerutti et al (2016)cr cumulative change of capital requirement Cerutti et al (2016)ltv cumulative change of loan-to-value Cerutti et al (2016)

rr foreign cumulative change of reserve requirement (foreigncurrency)

Cerutti et al (2016)

rr local cumulative change of reserve requirement (domesticcurrency)

Cerutti et al (2016)

37

Table 2 Results of IDF estimation

Parameters VariablesEstimates

Model Model Model Model Model Model(1) (2) (3) (4) (5) (6)

Parametros da funcao insumo distanciaαY Y lnY -0013 -0003 -0004 -0012 -0011 -0005

(000) (000) (000) (000) (000) (000)α1Y lnx1 -0096 -0095 -0094 -0094 -0096 -0090

(001) (001) (001) (001) (001) (001)α2Y lnx2 -0019 -0022 -0022 -0019 -0020 -0021

(001) (001) (001) (001) (001) (001)αY T T -0000 -0000 -0000 -0000 -0000 -0000

(000) (000) (000) (000) (000) (000)αY const 1153 1010 1035 1134 1129 1057

(005) (007) (005) (005) (005) (006)

Deterministic Mark-up parametersδ1 HHI 764157

(12270)δ1 Capital

Buffer7586(065)

δ2 CapitalReq

4696(160)

δ1 Loan-to-value38511(671)

δ1 ResR(foreign)10730(433)

δ2 ResR(local)2869(126)

δ1 Cum Prud3237(020)

δ0 const minus10601minus10194minus5306 minus9866 minus8577 minus4993(032) (2064) (316) (079) (119) (122)

Distribution of u and vσ2u 2840 1418 1620 2643 2441 1593σ2v 0118 0121 0120 0118 0118 0120λ 2402 1172 1354 2233 2065 1325Log Lik 887404 922033 918606 896019 891991 907817

EstimatesEstimates of Mark-up (u)Avg 0075 0065 0068 0074 0075 00691st quartile 0052 0038 0051 0051 0051 0044Median 0062 0048 0060 0060 0061 00543st quartile 0080 0074 0079 0079 0079 0075std-dev 0053 0054 0053 0053 0054 0054

Note p lt 010 p lt 005 and p lt 001

38

Table 3 Estimates of Lerner index general and by type of control

EstimatesModel Model Model Model Model Model

(1) (2) (3) (4) (5) (6)Mark-up (L) generalAverage 0058 0051 0053 0057 0058 0053std-dev 0032 0034 0034 0032 0032 00331st quartile 0043 0031 0034 0041 0042 0036Median 0051 0039 0044 0050 0050 00453st quartile 0063 0060 0059 0063 0063 0060Mark-up (L) State-owned banksAverage 0057 0047 0049 0056 0056 0050std-dev 0018 0017 0017 0018 0016 00161st quartile 0047 0035 0038 0045 0046 0040Median 0054 0041 0046 0053 0053 00463st quartile 0064 0056 0056 0064 0063 0057Mark-up (L) National banksAverage 0057 0052 0054 0057 0057 0054std-dev 0034 0038 0038 0035 0035 00371st quartile 0041 0030 0033 0040 0041 0035Median 0050 0038 0043 0048 0049 00443st quartile 0061 0061 0060 0061 0062 0060Mark-up (L) Foreign banksAverage 0061 0050 0053 0059 0060 0054std-dev 0034 0033 0032 0034 0034 00321st quartile 0042 0031 0034 0041 0042 0036Median 0052 0040 0044 0051 0051 00453st quartile 0068 0059 0060 0066 0066 0061

Table 4 Estimates of returns to scale by control type and general

ModelState-owned

banksNational

banksForeignbanks

General std-dev Min Max

1 0944 0824 0842 0848 0073 0665 11242 0940 0829 0843 0851 0066 0690 10733 0938 0827 0842 0849 0066 0689 10764 0941 0824 0842 0848 0071 0671 11115 0942 0824 0841 0848 0072 0669 11136 0937 0829 0844 0850 0065 0692 1073

39

Appendix A Attachment Tables

Table A5 Cumulative change on Prudential Measures intensity

TimeCapitalBuffer 2

(cb)

CapitalReq(cr)

Loan-to-Value(ltv)

Reserve Reqlocal curr

(RR local)

Reserve Reqforeign cur

(RR foreign)

CumulativePrudential 3

(Cum Prud)2000q2 -1 0 0 0 -2 -32000q4 -1 0 0 0 -2 -32001q2 -1 0 0 0 -2 -32001q4 0 0 0 0 -1 -12002q2 0 0 0 0 0 02002q4 2 0 0 0 2 42003q2 0 0 0 0 3 32003q4 0 0 0 0 2 22004q2 0 0 0 0 2 22004q4 0 0 0 0 2 22005q2 0 0 0 0 2 22005q4 0 0 0 0 2 22006q2 0 0 0 0 2 22006q4 0 0 0 0 2 22007q2 2 0 0 0 2 42007q4 2 0 0 0 2 42008q2 2 0 0 0 2 42008q4 2 0 0 0 1 32009q2 2 0 0 0 0 22009q4 2 0 0 0 -1 12010q2 2 0 0 0 1 32010q4 3 0 0 0 3 62011q2 3 0 0 1 3 72011q4 4 0 0 2 3 92012q2 3 1 0 2 3 92012q4 3 1 0 1 2 72013q2 3 2 0 0 2 72013q4 3 2 1 0 2 82014q2 3 2 1 0 2 82014q4 2 2 1 0 3 82Sum of capital buffer and others 3Aggregate measure (It is the sum of the change of all other instrument)

40

Table A6 Estimates of Lerner index and return to scale by bank - Model (1)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0042 0082 0009 0940 0007 -85Banrisul S 0055 0041 0084 0009 0952 0008 -635BEC S 0048 0021 0077 0016 0844 0009 -1756BRB S 0058 0033 0100 0015 0961 0003 -1533BB S 0058 0039 0098 0012 0990 0006 -173Caixa Economica Federal S 0063 0051 0174 0022 1052 0004 1458B da Amazonia SA S 0057 0016 0124 0023 0844 0008 -2028B do Estado Do Para SA S 0061 0026 0110 0022 0936 0004 -1764B do Est do Maranhao SA S 0055 0046 0065 0006 0935 0014 -455B do Est do Piauı SA - Bep S 0057 0030 0155 0029 0862 0004 -326B do Estado De Sergipe SA S 0061 0024 0135 0022 0947 0004 -1453Nossa Caixa - N Banco SA S 0057 0036 0090 0013 0981 0004 -444Bradesco N 0056 0038 0114 0015 0925 0004 -1945Itau N 0059 0031 0220 0033 0901 0003 -3797Safra N 0053 0037 0085 0009 0885 0003 -4215Unibanco N 0055 0037 0088 0014 0897 0001 -7054Mercantil Do Brasil N 0057 0027 0077 0011 0945 0002 -2527BBM N 0076 0016 0300 0065 0783 0005 -4464BMC N 0052 0030 0079 0012 0845 0003 -4703BMG N 0065 0017 0208 0045 0779 0003 -729JMalucelli N 0047 0022 0069 0013 0718 0003 -8765PEBB N 0065 0017 0181 0047 0698 0008 -3914SS N 0057 0034 0220 0037 0799 0007 -2839Sofisa N 0054 0021 0092 0020 0804 0002 -9903BIC N 0060 0034 0236 0040 0855 0005 -276Schahin N 0056 0028 0214 0035 0835 0006 -262Stock N 0081 0020 0267 0067 0817 0006 -3107Pine N 0052 0022 0108 0019 0808 0004 -545Socopa N 0056 0027 0120 0017 0886 0003 -3806Intercap N 0060 0023 0212 0037 0812 0007 -2851Indusval N 0062 0030 0246 0043 0857 0005 -3139Bonsucesso N 0052 0020 0092 0018 0779 0005 -4033Industrial do Brasil N 0051 0031 0081 0016 0807 0002 -952Votorantim N 0052 0037 0107 0017 0819 0009 -2117Cacique N 0053 0024 0071 0014 0774 0005 -4621Inter Amex N 0055 0037 0068 0010 0837 0008 -2158Alfa N 0048 0041 0059 0005 0806 0002 -11303Rendimento N 0053 0022 0080 0012 0872 0008 -1562Bancoob N 0052 0046 0056 0003 0856 0003 -5061Original N 0085 0017 0279 0090 0729 0007 -4163Banco Intermedium SA N 0052 0028 0070 0015 0743 0006 -3973

Table A6 ndash Continue on next page

41

Table A6 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0225 0049 0761 0003 -7509Banco BBN SA N 0053 0027 0077 0014 0817 0012 -1509B Cooperativo Sicredi SA N 0052 0043 0062 0005 0875 0005 -2477B Cooperativo do Brasil SA N 0056 0046 0142 0020 0910 0006 -1479Banco Topazio SA N 0060 0035 0110 0027 0834 0006 -2966Banco Gerador SA N 0069 0045 0122 0028 0852 0008 -1968Banco Randon SA N 0109 0023 0320 0109 0783 0005 -4158Parana Banco SA N 0050 0026 0108 0020 0784 0008 -2799Banco Triangulo SA N 0055 0028 0091 0020 0833 0004 -4201Banco Guanabara SA N 0052 0024 0169 0025 0777 0004 -5588Banco Cedula SA N 0068 0012 0339 0061 0731 0003 -10236Banco Cacique SA N 0077 0028 0248 0077 0785 0016 -1309B Luso Brasileiro SA N 0065 0027 0208 0043 0849 0004 -349Banco Pecunia SA N 0047 0039 0060 0006 0770 0003 -7086Banco Zogbi SA N 0051 0038 0067 0011 0778 0001 -15193Banco Daycoval SA N 0054 0023 0131 0026 0783 0004 -5522B John Deere SA N 0059 0018 0133 0033 0756 0003 -7955Banco AJ Renner SA N 0053 0025 0081 0015 0827 0006 -2742ABN Amro F 0056 0039 0079 0014 0914 0002 -427Chase F 0068 0014 0228 0049 0790 0008 -2678LLoyds F 0053 0027 0064 0012 0825 0003 -5159BankBoston F 0057 0040 0099 0020 0902 0006 -1638Santander Brasil F 0057 0034 0097 0017 0890 0008 -146Citibank F 0059 0026 0153 0028 0875 0003 -4039BNL F 0055 0041 0097 0019 0840 0006 -2767Sudameris F 0056 0048 0065 0005 0966 0012 -297Societe Generale F 0060 0024 0153 0031 0826 0006 -299Europeu F 0054 0032 0073 0013 0848 0007 -2287ABC-Brasil F 0052 0025 0082 0014 0815 0003 -6207Dresdner F 0083 0017 0280 0074 0815 0006 -3234AGF Braseg F 0051 0031 0100 0016 0794 0004 -4923HSBC F 0057 0046 0092 0010 0971 0006 -466Deutsche F 0068 0013 0160 0036 0857 0004 -3335BNP Paribas F 0050 0037 0068 0007 0824 0005 -3665Barclays F 0052 0024 0089 0021 0771 0008 -2787Rabobank Int Brasil SA F 0058 0022 0166 0028 0842 0003 -5284B Nat de Paris Br SA F 0063 0023 0109 0033 0811 0006 -3331Ibibank SA - Banco Multiplo F 0059 0012 0106 0024 0781 0015 -1441Dresdner Bank - B Multiplo F 0086 0016 0244 0068 0768 0008 -2746Banco Westlb Do Brasil SA F 0064 0034 0108 0027 0839 0010 -1626Banco GE Capital SA F 0067 0032 0247 0047 0852 0010 -1527B Com Uruguai SA F 0072 0020 0192 0049 0830 0003 -52281S - State-owned bank N - National bank and F - Foreign bank

42

Table A7 Estimates of Lerner index and return to scale by bank - Model (2)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0049 0032 0085 0016 0944 0008 -716Banrisul S 0049 0032 0106 0017 0939 0008 -75BEC S 0032 0016 0046 0008 0860 0009 -1489BRB S 0049 0030 0112 0017 0961 0002 -1681BB S 0049 0032 0091 0016 0948 0006 -845Caixa Economica Federal S 0052 0034 0081 0014 1012 0003 382B da Amazonia SA S 0053 0015 0140 0028 0847 0008 -1922B do Estado Do Para SA S 0046 0029 0063 0009 0952 0005 -963B do Est do Maranhao SA S 0036 0029 0045 0005 0963 0016 -235B do Est do Piauı SA - Bep S 0036 0023 0071 0011 0888 0005 -2314B do Estado De Sergipe SA S 0050 0020 0155 0024 0962 0004 -1043Nossa Caixa - N Banco SA S 0039 0027 0074 0011 0972 0005 -601Bradesco N 0050 0028 0116 0023 0890 0004 -2618Itau N 0052 0024 0222 0037 0869 0003 -4269Safra N 0046 0028 0100 0017 0867 0003 -5042Unibanco N 0035 0028 0054 0007 0873 0001 -8511Mercantil Do Brasil N 0051 0029 0093 0019 0941 0002 -2837BBM N 0063 0012 0213 0048 0790 0005 -4494BMC N 0034 0023 0049 0007 0851 0003 -4266BMG N 0065 0015 0233 0057 0776 0004 -6135JMalucelli N 0052 0018 0080 0016 0720 0003 -9566PEBB N 0037 0014 0108 0025 0732 0009 -3086SS N 0056 0024 0236 0046 0797 0007 -2849Sofisa N 0052 0018 0107 0028 0808 0002 -8115BIC N 0057 0026 0259 0050 0850 0006 -2531Schahin N 0047 0022 0225 0041 0845 0007 -2359Stock N 0078 0017 0287 0071 0843 0006 -2782Pine N 0048 0018 0114 0023 0811 0004 -4973Socopa N 0050 0022 0136 0024 0908 0003 -3089Intercap N 0051 0019 0133 0031 0832 0006 -2759Indusval N 0061 0023 0267 0052 0866 0006 -2437Bonsucesso N 0050 0017 0109 0026 0791 0006 -3655Industrial do Brasil N 0044 0024 0079 0015 0816 0002 -8095Votorantim N 0048 0025 0120 0026 0807 0007 -2721Cacique N 0033 0020 0039 0006 0782 0005 -4597Inter Amex N 0035 0025 0045 0007 0844 0006 -2419Alfa N 0042 0029 0069 0013 0801 0002 -12139Rendimento N 0049 0019 0077 0015 0889 0008 -1394Bancoob N 0065 0057 0073 0006 0855 0003 -4199Original N 0099 0019 0299 0096 0732 0006 -4473Banco Intermedium SA N 0062 0032 0081 0019 0754 0006 -4393

Table A7 ndash Continue on next page

43

Table A7 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0059 0016 0239 0051 0778 0003 -6944Banco BBN SA N 0035 0020 0053 0009 0834 0011 -1466B Cooperativo Sicredi SA N 0045 0032 0070 0011 0881 0005 -2581B Cooperativo do Brasil SA N 0045 0029 0147 0025 0922 0006 -1274Banco Topazio SA N 0076 0043 0138 0038 0861 0005 -2569Banco Gerador SA N 0089 0054 0153 0037 0874 0008 -1645Banco Randon SA N 0122 0029 0335 0113 0803 0005 -388Parana Banco SA N 0033 0020 0062 0011 0800 0009 -234Banco Triangulo SA N 0052 0022 0105 0027 0841 0004 -4148Banco Guanabara SA N 0046 0019 0091 0020 0793 0004 -5561Banco Cedula SA N 0062 0011 0359 0067 0749 0003 -9911Banco Cacique SA N 0049 0020 0157 0048 0791 0016 -1315Banco Luso Brasileiro SA N 0066 0022 0241 0055 0870 0005 -2851Banco Pecunia SA N 0032 0027 0036 0003 0787 0003 -6876Banco Zogbi SA N 0032 0026 0037 0005 0784 0002 -13006Banco Daycoval SA N 0053 0019 0139 0036 0784 0004 -6065Banco John Deere SA N 0035 0016 0073 0016 0761 0003 -8278Banco AJ Renner SA N 0047 0021 0083 0015 0844 0006 -2553ABN Amro F 0035 0027 0047 0006 0889 0002 -7231Chase F 0054 0013 0157 0033 0804 0007 -2702LLoyds F 0033 0020 0043 0008 0821 0003 -5429BankBoston F 0036 0026 0060 0011 0888 0006 -1917Santander Brasil F 0055 0025 0115 0030 0864 0008 -1647Citibank F 0051 0020 0132 0025 0860 0003 -4735BNL F 0036 0026 0062 0012 0843 0005 -2959Sudameris F 0036 0031 0040 0004 0949 0011 -468Societe Generale F 0051 0018 0104 0024 0835 0007 -2454Europeu F 0034 0025 0041 0006 0859 0007 -2076ABC-Brasil F 0043 0026 0086 0015 0813 0003 -5797Dresdner F 0050 0014 0190 0046 0824 0004 -3975AGF Braseg F 0044 0024 0068 0014 0810 0005 -4109HSBC F 0052 0031 0110 0021 0948 0007 -776Deutsche F 0054 0012 0166 0030 0866 0005 -2754BNP Paribas F 0049 0028 0073 0013 0818 0004 -4092Barclays F 0065 0028 0121 0027 0811 0005 -4028Rabobank Int Brasil SA F 0047 0017 0102 0017 0845 0003 -4605B Nat de Paris Brasil SA F 0036 0017 0054 0013 0819 0005 -3304Ibibank SA - Banco Multiplo F 0043 0010 0114 0025 0782 0013 -1623Dresdner Bank - B Multiplo F 0096 0015 0270 0076 0785 0007 -2924Banco Westlb Do Brasil SA F 0041 0026 0062 0013 0853 0010 -154Banco GE Capital SA F 0054 0026 0253 0049 0862 0010 -1444B Com Uruguai SA F 0070 0017 0220 0058 0849 0003 -4471S - State-owned bank N - National bank and F - Foreign bank

44

Table A8 Estimates of Lerner index and return to scale by bank - Model (3)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0034 0090 0016 0941 0008 -772Banrisul S 0051 0032 0108 0016 0938 0008 -772BEC S 0035 0018 0051 0009 0856 0009 -1562BRB S 0052 0032 0122 0018 0958 0002 -1793BB S 0052 0035 0085 0015 0951 0006 -809Caixa Economica Federal S 0054 0039 0098 0014 1015 0003 465B da Amazonia SA S 0053 0014 0113 0024 0845 0008 -1977B do Estado Do Para SA S 0049 0028 0071 0010 0947 0005 -1117B do E do Maranhao SA S 0041 0032 0059 0008 0957 0015 -285B do E do Piauı SA - Bep S 0041 0028 0086 0014 0882 0005 -2518B do Estado De Sergipe SA S 0052 0021 0145 0022 0957 0004 -1182Nossa Caixa - N Banco SA S 0045 0029 0081 0015 0971 0005 -651Bradesco N 0052 0029 0101 0021 0893 0004 -2614Itau N 0054 0025 0203 0034 0872 0003 -4328Safra N 0048 0029 0093 0015 0869 0003 -5008Unibanco N 0041 0028 0067 0010 0874 0001 -8514Mercantil Do Brasil N 0053 0026 0095 0018 0939 0002 -29BBM N 0067 0013 0250 0056 0789 0005 -4501BMC N 0038 0024 0069 0010 0849 0003 -4408BMG N 0067 0015 0233 0058 0776 0004 -6374JMalucelli N 0052 0022 0087 0016 0720 0003 -9426PEBB N 0045 0014 0158 0040 0727 0009 -3192SS N 0057 0025 0231 0046 0797 0007 -287Sofisa N 0053 0018 0116 0026 0807 0002 -8444BIC N 0059 0030 0250 0049 0850 0006 -2596Schahin N 0048 0023 0220 0038 0842 0007 -2424Stock N 0083 0017 0304 0077 0838 0006 -2873Pine N 0049 0019 0105 0020 0810 0004 -5103Socopa N 0050 0026 0111 0018 0903 0003 -3253Intercap N 0055 0020 0196 0036 0828 0006 -283Indusval N 0062 0029 0282 0052 0863 0005 -2588Bonsucesso N 0051 0017 0118 0025 0789 0006 -3771Industrial do Brasil N 0046 0025 0086 0015 0815 0002 -8341Votorantim N 0050 0027 0128 0027 0809 0007 -2664Cacique N 0037 0020 0048 0009 0781 0005 -4645Inter Amex N 0039 0026 0058 0009 0842 0006 -2468Alfa N 0044 0031 0072 0011 0801 0002 -11998Rendimento N 0049 0022 0078 0011 0885 0008 -1463Bancoob N 0066 0057 0077 0007 0854 0003 -4342Original N 0102 0019 0301 0096 0730 0006 -4526Banco Intermedium SA N 0059 0027 0083 0020 0752 0006 -4354

Table A8 ndash Continue on next page

45

Table A8 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0017 0217 0054 0776 0003 -7084Banco BBN SA N 0038 0022 0058 0010 0831 0011 -1492B Cooperativo Sicredi SA N 0047 0035 0071 0010 0879 0005 -259B Cooperativo do Brasil SA N 0046 0035 0128 0020 0919 0006 -1339Banco Topazio SA N 0075 0036 0153 0041 0855 0005 -2657Banco Gerador SA N 0091 0057 0144 0034 0869 0008 -173Banco Randon SA N 0124 0029 0332 0112 0799 0005 -4023Parana Banco SA N 0036 0021 0071 0012 0797 0008 -2452Banco Triangulo SA N 0053 0023 0115 0027 0839 0004 -4256Banco Guanabara SA N 0047 0020 0100 0019 0790 0004 -561Banco Cedula SA N 0066 0012 0362 0068 0747 0003 -10082Banco Cacique SA N 0063 0026 0231 0074 0789 0016 -1336Banco Luso Brasileiro SA N 0066 0026 0249 0053 0865 0005 -2985Banco Pecunia SA N 0034 0029 0041 0004 0784 0003 -7038Banco Zogbi SA N 0036 0027 0046 0006 0782 0002 -13399Banco Daycoval SA N 0054 0019 0131 0034 0784 0004 -607Banco John Deere SA N 0039 0015 0083 0018 0761 0003 -8316Banco AJ Renner SA N 0049 0024 0073 0013 0840 0006 -2621ABN Amro F 0041 0030 0066 0009 0890 0002 -6866Chase F 0059 0013 0173 0039 0801 0007 -2733LLoyds F 0038 0021 0055 0010 0821 0003 -5484BankBoston F 0040 0028 0063 0012 0888 0006 -1931Santander Brasil F 0056 0028 0107 0027 0866 0008 -1663Citibank F 0052 0022 0123 0023 0860 0003 -4735BNL F 0039 0028 0063 0014 0841 0005 -2966Sudameris F 0041 0036 0052 0006 0948 0011 -473Societe Generale F 0052 0020 0103 0022 0833 0006 -2579Europeu F 0038 0030 0049 0007 0856 0007 -2153ABC-Brasil F 0046 0029 0079 0014 0813 0003 -5935Dresdner F 0055 0014 0212 0052 0822 0005 -3913AGF Braseg F 0046 0027 0071 0014 0806 0005 -4276HSBC F 0053 0032 0101 0019 0949 0007 -784Deutsche F 0058 0013 0141 0029 0863 0005 -2878BNP Paribas F 0051 0030 0074 0012 0818 0004 -4118Barclays F 0066 0025 0130 0030 0805 0005 -4123Rabobank Int Brasil SA F 0049 0019 0109 0018 0844 0003 -4752B Nat de Paris Brasil SA F 0041 0019 0069 0018 0817 0005 -3368Ibibank SA - Banco Multiplo F 0046 0010 0095 0021 0781 0014 -1617Dresdner Bank - B Multiplo F 0093 0017 0282 0072 0782 0008 -2899Banco Westlb Do Brasil SA F 0044 0027 0069 0015 0850 0009 -1591Banco GE Capital SA F 0055 0026 0249 0046 0859 0009 -1489B Com Uruguai SA F 0071 0017 0228 0056 0845 0003 -46241S - State-owned bank N - National bank and F - Foreign bank

46

Table A9 Estimates of Lerner index and return to scale by bank - Model (4)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0054 0041 0078 0011 0939 0007 -873Banrisul S 0055 0040 0106 0014 0948 0008 -692BEC S 0046 0020 0072 0014 0846 0009 -1746BRB S 0057 0032 0094 0016 0959 0002 -1673BB S 0057 0038 0095 0014 0981 0006 -33Caixa Economica Federal S 0061 0049 0165 0021 1042 0003 1249B da Amazonia SA S 0056 0015 0117 0022 0844 0008 -2047B do Estado Do Para SA S 0059 0025 0103 0020 0936 0004 -1701B do E Do Maranhao SA S 0052 0044 0062 0005 0936 0014 -448B do E Do Piauı SA - Bep S 0054 0029 0147 0028 0865 0004 -3201B do Estado De Sergipe SA S 0061 0023 0168 0026 0947 0004 -1484Nossa Caixa - N Banco SA S 0054 0035 0085 0012 0977 0004 -547Bradesco N 0056 0036 0107 0017 0919 0004 -2123Itau N 0058 0030 0212 0032 0896 0003 -3979Safra N 0052 0035 0107 0013 0882 0003 -445Unibanco N 0052 0035 0082 0013 0892 0001 -7446Mercantil Do Brasil N 0057 0027 0093 0015 0942 0002 -2687BBM N 0075 0015 0294 0064 0784 0005 -4512BMC N 0050 0029 0074 0011 0846 0003 -472BMG N 0065 0016 0202 0047 0779 0003 -7192JMalucelli N 0048 0022 0071 0014 0720 0003 -8923PEBB N 0061 0016 0172 0044 0704 0008 -382SS N 0056 0033 0213 0037 0799 0007 -2875Sofisa N 0053 0020 0087 0019 0805 0002 -9731BIC N 0061 0033 0269 0048 0854 0005 -2768Schahin N 0053 0027 0205 0034 0836 0006 -2627Stock N 0081 0020 0265 0068 0820 0006 -3122Pine N 0052 0022 0118 0021 0808 0004 -5467Socopa N 0054 0026 0114 0016 0888 0003 -3785Intercap N 0057 0023 0203 0035 0815 0006 -2877Indusval N 0062 0029 0239 0043 0857 0005 -3085Bonsucesso N 0052 0019 0088 0018 0782 0005 -403Industrial do Brasil N 0050 0030 0076 0015 0809 0002 -9427Votorantim N 0051 0036 0102 0017 0817 0008 -2222Cacique N 0050 0023 0067 0013 0776 0005 -4659Inter Amex N 0052 0035 0064 0009 0837 0007 -2226Alfa N 0048 0039 0071 0007 0805 0002 -11484Rendimento N 0052 0022 0076 0013 0874 0008 -1571Bancoob N 0057 0045 0071 0011 0855 0003 -5022Original N 0094 0017 0278 0090 0730 0006 -4242Banco Intermedium SA N 0049 0027 0065 0014 0746 0006 -4054

Table A9 ndash Continue on next page

47

Table A9 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0019 0220 0050 0764 0003 -7516Banco BBN SA N 0050 0027 0072 0013 0819 0012 -1529B Cooperativo Sicredi SA N 0051 0041 0068 0006 0875 0005 -2551B Cooperativo do Brasil SA N 0053 0044 0134 0018 0910 0006 -151Banco Topazio SA N 0066 0035 0128 0036 0837 0005 -2981Banco Gerador SA N 0082 0045 0157 0043 0854 0007 -1967Banco Randon SA N 0106 0026 0312 0105 0786 0005 -4204Parana Banco SA N 0048 0025 0102 0018 0787 0008 -2768Banco Triangulo SA N 0054 0027 0088 0021 0834 0004 -427Banco Guanabara SA N 0051 0023 0161 0025 0780 0004 -5659Banco Cedula SA N 0069 0012 0360 0065 0735 0003 -1028Banco Cacique SA N 0073 0027 0240 0075 0786 0016 -1327Banco Luso Brasileiro SA N 0065 0026 0242 0047 0852 0004 -346Banco Pecunia SA N 0045 0037 0056 0006 0773 0003 -7139Banco Zogbi SA N 0048 0036 0064 0010 0779 0001 -15057Banco Daycoval SA N 0055 0022 0126 0030 0784 0004 -568Banco John Deere SA N 0056 0018 0125 0031 0757 0003 -8084Banco AJ Renner SA N 0051 0025 0077 0013 0829 0006 -2763ABN Amro F 0053 0038 0074 0013 0909 0002 -4803Chase F 0066 0014 0220 0046 0793 0008 -2711LLoyds F 0050 0026 0060 0011 0825 0003 -5323BankBoston F 0054 0038 0092 0018 0899 0006 -1734Santander Brasil F 0056 0033 0098 0019 0885 0007 -1529Citibank F 0059 0025 0145 0030 0872 0003 -421BNL F 0052 0039 0091 0018 0840 0006 -2854Sudameris F 0053 0046 0062 0005 0961 0011 -352Societe Generale F 0058 0023 0144 0028 0827 0006 -2968Europeu F 0052 0031 0069 0012 0849 0007 -23ABC-Brasil F 0051 0028 0091 0015 0815 0003 -6225Dresdner F 0078 0017 0271 0071 0816 0005 -339AGF Braseg F 0050 0030 0094 0015 0797 0004 -4873HSBC F 0057 0045 0116 0016 0966 0006 -562Deutsche F 0066 0013 0151 0034 0858 0004 -3316BNP Paribas F 0050 0036 0071 0010 0823 0005 -3772Barclays F 0057 0024 0102 0025 0777 0007 -3003Rabobank Int Brasil SA F 0057 0021 0157 0026 0842 0003 -5266B Nat de Paris Brasil SA F 0059 0023 0102 0030 0812 0006 -3387Ibibank SA - Banco Multiplo F 0056 0012 0100 0023 0781 0015 -148Dresdner Bank - B Multiplo F 0084 0016 0237 0064 0771 0008 -2798Banco Westlb Do Brasil SA F 0061 0033 0101 0025 0841 0010 -1646Banco GE Capital SA F 0063 0031 0238 0044 0853 0010 -1548B Com Uruguai SA F 0074 0020 0226 0056 0833 0003 -51921S - State-owned bank N - National bank and F - Foreign bank

48

Table A10 Estimates of Lerner index and return to scale by bank - Model (5)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0043 0093 0012 0940 0007 -834Banrisul S 0054 0041 0083 0009 0949 0008 -668BEC S 0046 0020 0075 0014 0846 0009 -1719BRB S 0058 0032 0121 0017 0960 0002 -1607BB S 0056 0037 0087 0010 0981 0006 -321Caixa Economica Federal S 0061 0050 0156 0019 1044 0003 1282B da Amazonia SA S 0057 0016 0115 0023 0843 0008 -2023B do Estado Do Para SA S 0059 0027 0102 0020 0938 0004 -1608B do E Do Maranhao SA S 0052 0042 0064 0006 0939 0015 -418B do E Do Piauı SA - Bep S 0054 0029 0138 0025 0866 0004 -3097B do Estado De Sergipe SA S 0059 0024 0136 0020 0949 0004 -1404Nossa Caixa - N Banco SA S 0055 0036 0088 0013 0979 0004 -494Bradesco N 0056 0037 0108 0016 0918 0004 -2108Itau N 0058 0031 0213 0033 0894 0003 -3968Safra N 0052 0036 0086 0010 0881 0003 -4388Unibanco N 0053 0037 0085 0013 0892 0001 -7433Mercantil Do Brasil N 0057 0027 0086 0012 0943 0002 -2619BBM N 0075 0015 0292 0063 0784 0005 -447BMC N 0050 0029 0077 0012 0846 0003 -4648BMG N 0067 0017 0220 0051 0777 0003 -7116JMalucelli N 0049 0022 0083 0016 0718 0003 -8879PEBB N 0060 0017 0176 0044 0704 0008 -3743SS N 0059 0032 0223 0041 0798 0007 -2847Sofisa N 0055 0021 0112 0022 0804 0002 -9624BIC N 0060 0032 0238 0041 0853 0005 -2725Schahin N 0055 0028 0228 0038 0836 0006 -2575Stock N 0082 0019 0267 0068 0821 0006 -3063Pine N 0052 0022 0096 0018 0808 0004 -5392Socopa N 0055 0027 0113 0016 0889 0003 -3694Intercap N 0060 0023 0210 0037 0814 0006 -2856Indusval N 0062 0029 0245 0044 0857 0005 -3023Bonsucesso N 0053 0020 0113 0022 0781 0005 -3999Industrial do Brasil N 0051 0030 0084 0016 0808 0002 -9274Votorantim N 0052 0037 0130 0022 0816 0008 -2227Cacique N 0049 0024 0065 0012 0775 0005 -4632Inter Amex N 0052 0034 0067 0011 0837 0007 -2236Alfa N 0047 0041 0056 0004 0804 0002 -11448Rendimento N 0053 0022 0079 0011 0874 0008 -1549Bancoob N 0056 0050 0064 0005 0856 0003 -4874Original N 0087 0018 0288 0093 0728 0006 -4259Banco Intermedium SA N 0055 0027 0078 0019 0744 0006 -4047

Table A10 ndash Continue on next page

49

Table A10 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0217 0048 0763 0003 -7417Banco BBN SA N 0051 0026 0075 0014 0820 0012 -1504B Cooperativo Sicredi SA N 0051 0040 0061 0005 0876 0005 -2499B Cooperativo do Brasil SA N 0054 0043 0136 0019 0912 0006 -1445Banco Topazio SA N 0061 0034 0109 0026 0838 0006 -2897Banco Gerador SA N 0073 0052 0124 0026 0855 0008 -1918Banco Randon SA N 0120 0024 0327 0114 0785 0005 -4153Parana Banco SA N 0048 0026 0106 0020 0786 0008 -2732Banco Triangulo SA N 0055 0027 0111 0022 0834 0004 -4227Banco Guanabara SA N 0052 0024 0153 0024 0779 0004 -5589Banco Cedula SA N 0069 0012 0339 0062 0734 0003 -10232Banco Cacique SA N 0076 0027 0246 0076 0785 0016 -1317Banco Luso Brasileiro SA N 0067 0027 0207 0047 0852 0004 -3379Banco Pecunia SA N 0046 0038 0054 0006 0773 0003 -71Banco Zogbi SA N 0047 0037 0061 0010 0778 0001 -14931Banco Daycoval SA N 0054 0022 0126 0026 0782 0004 -5661Banco John Deere SA N 0056 0018 0129 0031 0756 0003 -8043Banco AJ Renner SA N 0053 0025 0080 0015 0829 0006 -2716ABN Amro F 0053 0038 0074 0012 0908 0002 -4751Chase F 0067 0014 0225 0047 0792 0008 -2693LLoyds F 0049 0025 0064 0012 0824 0003 -5227BankBoston F 0054 0037 0096 0020 0899 0006 -1701Santander Brasil F 0057 0033 0103 0019 0884 0008 -1511Citibank F 0059 0026 0154 0028 0871 0003 -4204BNL F 0052 0037 0097 0020 0840 0006 -28Sudameris F 0052 0045 0058 0005 0962 0011 -334Societe Generale F 0060 0023 0151 0031 0827 0006 -2924Europeu F 0050 0032 0066 0012 0849 0007 -2263ABC-Brasil F 0051 0025 0079 0014 0814 0003 -617Dresdner F 0080 0017 0276 0073 0816 0005 -3374AGF Braseg F 0050 0031 0093 0015 0796 0004 -4812HSBC F 0057 0043 0093 0011 0966 0006 -541Deutsche F 0066 0013 0155 0035 0858 0004 -3244BNP Paribas F 0050 0035 0067 0008 0822 0005 -3775Barclays F 0056 0024 0113 0025 0778 0007 -305Rabobank Int Brasil SA F 0057 0021 0163 0027 0842 0003 -5208B Nat de Paris Brasil SA F 0058 0022 0100 0029 0812 0006 -3343Ibibank SA - Banco Multiplo F 0057 0012 0099 0023 0780 0015 -1478Dresdner Bank - B Multiplo F 0087 0016 0244 0068 0770 0008 -2768Banco Westlb Do Brasil SA F 0063 0034 0106 0026 0841 0010 -1625Banco GE Capital SA F 0064 0032 0247 0046 0853 0010 -1522B Com Uruguai SA F 0073 0019 0191 0049 0833 0003 -50981S - State-owned bank N - National bank and F - Foreign bank

50

Table A11 Estimates of Lerner index and return to scale by bank - Model (6)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0036 0096 0015 0939 0007 -855Banrisul S 0050 0035 0098 0014 0938 0008 -82BEC S 0041 0019 0067 0012 0855 0009 -1644BRB S 0053 0029 0124 0018 0956 0002 -1996BB S 0051 0032 0088 0013 0954 0006 -807Caixa Economica Federal S 0054 0040 0094 0012 1014 0003 475B da Amazonia SA S 0053 0015 0103 0022 0846 0008 -205B do Estado Do Para SA S 0051 0028 0074 0013 0943 0004 -1319B do E Do Maranhao SA S 0041 0031 0059 0008 0950 0014 -346B do E Do Piauı SA - Bep S 0042 0028 0084 0012 0879 0004 -2727B do Estado De Sergipe SA S 0052 0022 0153 0022 0953 0003 -1377Nossa Caixa - N Banco SA S 0047 0032 0081 0014 0969 0004 -74Bradesco N 0052 0032 0097 0019 0898 0004 -2645Itau N 0054 0027 0190 0031 0877 0003 -4452Safra N 0049 0032 0100 0015 0872 0003 -5056Unibanco N 0043 0032 0067 0010 0878 0001 -8666Mercantil Do Brasil N 0053 0026 0087 0017 0938 0002 -3104BBM N 0066 0013 0251 0056 0792 0005 -4556BMC N 0041 0026 0069 0011 0850 0003 -4582BMG N 0067 0016 0228 0057 0781 0003 -6611JMalucelli N 0051 0022 0089 0017 0725 0003 -9344PEBB N 0046 0015 0157 0039 0728 0008 -3313SS N 0058 0025 0230 0046 0801 0007 -292Sofisa N 0053 0020 0119 0025 0809 0002 -8846BIC N 0060 0029 0262 0049 0852 0005 -2697Schahin N 0049 0025 0229 0040 0843 0006 -2523Stock N 0081 0017 0284 0072 0836 0005 -2986Pine N 0049 0021 0112 0019 0812 0004 -5267Socopa N 0050 0026 0095 0015 0900 0003 -3515Intercap N 0055 0021 0196 0035 0828 0006 -2899Indusval N 0061 0029 0262 0049 0863 0005 -2762Bonsucesso N 0052 0019 0123 0026 0791 0005 -3885Industrial do Brasil N 0046 0027 0088 0015 0816 0002 -8698Votorantim N 0051 0027 0139 0027 0813 0007 -262Cacique N 0039 0022 0050 0009 0784 0005 -4707Inter Amex N 0045 0027 0064 0012 0843 0006 -2493Alfa N 0044 0033 0068 0009 0805 0002 -12111Rendimento N 0050 0022 0073 0010 0883 0008 -1543Bancoob N 0066 0055 0072 0007 0856 0003 -4559Original N 0098 0020 0294 0094 0735 0006 -4509Banco Intermedium SA N 0057 0024 0085 0022 0756 0006 -4324

Table A11 ndash Continue on next page

51

Table A11 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0061 0017 0195 0048 0777 0003 -7233Banco BBN SA N 0042 0023 0059 0012 0831 0011 -1529B Cooperativo Sicredi SA N 0048 0035 0066 0009 0879 0005 -2672B Cooperativo do Brasil SA N 0046 0034 0119 0017 0917 0006 -1439Banco Topazio SA N 0070 0031 0129 0036 0853 0005 -2776Banco Gerador SA N 0086 0057 0148 0034 0867 0007 -1825Banco Randon SA N 0126 0028 0331 0114 0799 0005 -4136Parana Banco SA N 0039 0023 0082 0015 0798 0008 -2556Banco Triangulo SA N 0052 0025 0116 0025 0840 0004 -4363Banco Guanabara SA N 0048 0021 0100 0019 0792 0004 -5683Banco Cedula SA N 0067 0013 0356 0067 0749 0002 -10205Banco Cacique SA N 0067 0026 0232 0073 0792 0015 -1356Banco Luso Brasileiro SA N 0065 0025 0237 0052 0864 0004 -3163Banco Pecunia SA N 0037 0029 0045 0006 0786 0003 -7158Banco Zogbi SA N 0037 0027 0045 0007 0785 0002 -13921Banco Daycoval SA N 0053 0020 0120 0031 0787 0003 -6088Banco John Deere SA N 0043 0017 0099 0022 0764 0003 -8346Banco AJ Renner SA N 0050 0025 0080 0013 0840 0006 -2706ABN Amro F 0043 0035 0067 0008 0894 0002 -6685Chase F 0059 0014 0189 0040 0803 0007 -2772LLoyds F 0039 0021 0055 0012 0824 0003 -5536BankBoston F 0044 0029 0075 0015 0890 0006 -1965Santander Brasil F 0054 0028 0107 0024 0871 0008 -1694Citibank F 0054 0023 0133 0026 0863 0003 -4787BNL F 0042 0028 0078 0018 0843 0005 -2998Sudameris F 0041 0036 0052 0006 0948 0010 -491Societe Generale F 0054 0020 0118 0025 0834 0006 -2716Europeu F 0038 0029 0049 0008 0856 0006 -2239ABC-Brasil F 0046 0028 0084 0014 0816 0003 -6111Dresdner F 0063 0015 0239 0061 0823 0005 -3888AGF Braseg F 0047 0027 0074 0014 0807 0004 -4477HSBC F 0054 0032 0109 0018 0950 0006 -823Deutsche F 0058 0013 0122 0028 0863 0004 -305BNP Paribas F 0051 0032 0070 0011 0822 0004 -4145Barclays F 0064 0024 0128 0029 0802 0005 -4051Rabobank Int Brasil SA F 0051 0019 0130 0021 0846 0003 -4992B Nat de Paris Brasil SA F 0043 0019 0070 0019 0819 0005 -3429Ibibank SA - Banco Multiplo F 0049 0010 0083 0020 0785 0013 -161Dresdner Bank - B Multiplo F 0087 0016 0261 0066 0783 0007 -2901Banco Westlb Do Brasil SA F 0051 0030 0082 0019 0850 0009 -1643Banco GE Capital SA F 0053 0028 0239 0044 0859 0009 -1544B Com Uruguai SA F 0071 0017 0217 0054 0845 0003 -48451S - State-owned bank N - National bank and F - Foreign bank

52

Seacuterie de Textos para Discussatildeo do Curso de Ciecircncias Econocircmicas ndash FACEUFG ndash TD [078]

EDITORIAL FACE ndash Faculdade de Administraccedilatildeo Ciecircncias Contaacutebeis e Ciecircncias Econocircmicas Curso de Ciecircncias Econocircmicas Direccedilatildeo FACE Prof Moiseacutes Ferreira da Cunha Vice-Direccedilatildeo FACE Profordf Andreacutea Freire de Lucena Coordenaccedilatildeo do Curso de Ciecircncias Econocircmicas Prof Tiago Camarinha Lopes NEPEC ndash Nuacutecleo de Estudos e Pesquisas Econocircmicas Coordenaccedilatildeo Prof Seacutergio Fornazier Meyrelles Filho SEacuteRIE DE TEXTOS PARA DISCUSSAtildeO DO CURSO DE CIEcircNCIAS ECONOcircMICAS DA UFG Coordenaccedilatildeo e Equipe de Editoraccedilatildeo Prof Sandro Eduardo Monsueto Adriana Moura Guimaratildees Matheus Henrique de Arauacutejo Dutra

Endereccedilo Campus Samambaia Preacutedio da FACE ndash Rodovia GoiacircniaNova Veneza km 0 ndash CEP 74690-900 Goiacircnia ndash GO Tel (62) 3521 ndash 1390 URL httpwwwfaceufgbreconomia Publicaccedilatildeo cujo objetivo eacute divulgar resultados de estudos que contam com a participaccedilatildeo de pesquisadores do NEPEC As opiniotildees contidas nesta publicaccedilatildeo satildeo de inteira responsabilidade do(s) autor(es) natildeo representando necessariamente o ponto de vista do NEPEC ou da FACEUFG Eacute permitida a reproduccedilatildeo desde que citada a fonte

Page 9: 1(3(& )$&( 8)* · The Dark Side of Prudential MeasuresI Paulo R. Scalco a, Benjamin M. Tabak1, Anderson M. Teixeira aFaculty of Management, Accounting and Economics, Federal University

influence on the specifications of their functions they would still be the only models capable

of providing an estimate of the degree of market power

Given this context we will use a new class of models to measure the degree of market

power proposed by Kumbhakar et al (2012) and based on stochastic boundary analysis

techniques (SFA) The SFA models have several advantages when compared to the traditional

models of literature known as New Industrial Empirical Organization (NEIO) and allow

estimating in a single model a unified structure a mark-up measure and an indicator of

market power Also we can obtain measures of elasticity return to scale and efficiency

Among the main advantages of SFA models it is possible to emphasize the flexibility

and the low requirement of information for estimations of the models The method also

allows estimating market power with or without constant returns to scale and provides an

estimate of the degree of market power in the same style as the Lerner index (Lerner 1934)

thereby circumventing the critique of the use of H as a monotonic measure of the degree

of competition Another advantage of the method is that unlike most NEIO models this

measure of market power is not only an estimate of the average parameter of the competition

level of the industry but the method also allows estimating a measure of the degree of market

power per bank and over time In the same way it is possible to estimate the returns to

the banksrsquo scale Finally the SFA technique allows the parameter of market power to be a

function of deterministic variables

One of the pioneering works using SFA techniques in the banking industry is the work

of Coccorese (2014) In this article the author estimates the Lerner index for each bank

individually for a group of countries between 1994 and 2012 with the results being broadly

comparable with the traditional NEIO models More recently Das amp Kumbhakar (2016)

have also used this class of models to investigate the market power of Indian banks

We use this model to evaluate the effect of prudential measures on the bankrsquos market

power Combining an SFA method with data on prudential measures we can estimate these

effects We use prudential measures as explanatory variables for the market power parameter

that we estimate in the SFA

7

3 Empirical Method

31 Empirical Model

Our empirical model follows the models proposed by Coccorese (2014) and Das amp Kumb-

hakar (2016) However we incorporate the possibility that the mark-up has two components

a purely stochastic and a deterministic part The derivation of the model starts from the

equilibrium condition that for a profit-maximizing bank (P ) will be greater than or equal

to its Marginal Cost (MC)

P geMC (1)

The distance between P and MC determines the degree of market power of the bank

If we multiply both terms of the inequality in equation 1 by the ratio of the total product

(Y ) and the total cost (C) and considering that MC = partCpartY

we have

P middot YCge partC

partY

Y

C (2)

or

TR

Cge partlnC

partlnY (3)

Where TR corresponds to the total revenue and the relationship established in equation 3

states that in the same way as price deviates from its marginal cost the revenue-cost ratio

of the bank (TRC) detracts from its cost-elasticity

The inequality in equation 3 can be solved by adding a non-negative term u Thus

RC equiv TR

C=

partlnC

partlnY+ u u ge 0 (4)

RC is the observed revenue-cost ratio and partlnCpartlnY

is the cost-elasticity The non-negative

term u represents the mark-up of the bank however it can not be calculated using the

bankrsquos accounting data because the cost elasticity unlike RC must be calculated from a cost

8

function In addition the revenue-cost ratio can be affected by other unobserved variables

To accommodate this assumption we add a random error term iid v to equation 4

RC =partlnC

partlnY+ u+ v (5)

32 Primal Approach

As equation 5 has been defined we need to specify a cost function to estimate the term

u that is we are using a dual approach in the context of production theory Kumbhakar

et al (2012) show however that SFA models can use both the dual and primal approaches

to estimate market power In the dual approach the total cost of the bank depends on

the output quantity and input prices and the primal approach we can specify a produc-

tion function (or an input-distance function) where the output is a function of only input

quantities

This flexibility is essential because unlike many examples in the banking industry we do

not have information available on input prices When empirical models need this informa-

tion such as the PR model for example researchers circumvent this problem by estimating

input price estimates from accounting information such as the ratio between expenditure

and the amount of input used (expenditure on staff on total assets for example) The use

of this artifice however as highlighted by Kumbhakar et al (2012) can generate problems

in situations where the amount of input is endogenous

Thus like Das amp Kumbhakar (2016) we use the primal form as an alternative to the dual

form We start from the specification of a transformation function defined as Af(x Y T ) =

1 where f(middot) is a production function for a given technology Y is the quantity produced x

is the quantity vector of inputs used T is a trend variable capturing technological changes

and A is a parameter of neutral technological shift

Using a set of appropriate identification restrictions (Kumbhakar 2012) we can derive a

function input distance (IDF) from the transformation function given by xJ = Ah(x Y T )

or lnxJ = Ah(ln x lnY T ) where xj =xj

xJ j = 1 2 J minus 1 The IDF uses the normal-

ization that f(x Y T ) is homogeneous of degree minus1 iesum

jpartlnfpartlnxj

= minus1

9

Assuming that banks minimize the cost subject to technology specified by the production

function the Lagrangian for the minimization can be defined as

L = wrsquox + λ(Af(x Y T )minus 1) (6)

where w is a vector of input prices and the corresponding first order condition is

wj = minusλApartf(middot)partxj

j = 1 2 J (7)

Multiplying and dividing both sides by xj and f(middot) and rearranging terms we can

rewrite 7 as

wjxj = minusλAf(middot)partf(middot)partxj

xjf(middot)

= minusλAf(middot)partlnf(middot)partlnxj

j = 1 2 J (8)

If we take the sum of all inputs equation 8 becomes

C =Jsum

j=1

wjxj = minusλAf(middot)Jsum

j=1

partlnf(middot)partlnxj

rArr minusλA =C

f(middot)middot 1sumJ

j=1partlnf(middot)partlnxj

(9)

From the envelop Theorem we have that the marginal cost (MC) is partLpartYequiv MC =

λApartf(middot)partY

= 0

If we use equation 9 we can express it as

MC = minus C

f(middot)middot 1sumJ

j=1partlnf(middot)partlnxj

middot partf(middot)partY

partC

party

Y

Cequiv partlnC

partlny= minuspartf(middot)

partY

Y

f(middot)middot 1sumJ

j=1partlnf(middot)partlnxj

EC equivpartlnC

partlny= minuspartlnf(middot)

partlnYmiddot 1sumJ

j=1partlnf(middot)partlnxj

=partlnf(middot)partlnY

equiv EY (10)

Equation 10 states that the Cost Elasticity (EC) equals Product elasticity (EY ) which

can be calculated from the parameters of the distance input function (IDF) This result

10

is important because it means that we can substitute the term on the right side of the

equation 5 by product elasticity that is

RC =partlnf(middot)partlny

+ u+ v u ge 0 (11)

The advantage of estimating equation 11 rather than equation 5 is that we can estimate

mark-ups without the need for input and output prices that is we only need the information

on revenue and total cost of banks and the respective input quantities

In order to estimate the mark-up defined in equation 11 we assume that the transforma-

tion function takes a form of the translog type and apply the appropriate normalizations as

in Kumbhakar (2012) to express the transformation function in the form of an input input

function given by

lnx1 = α0 +Jminus1sumj=1

αjlnxj +1

2

Jminus1sumj=1

Jsumk=2

αjklnxjlnxk

+ αY lnY +1

2αY Y (lnY )2 +

Jminus1sumj=1

αjY lnxjlnY+ + αTT +1

2αTTT

2

+Jminus1sumj=1

αjT lnxjT + αY TT lnY

(12)

from which we can derive the product-elasticity as

EY equivpartlnx1partlnY

= αY + αY Y lnY +Jminus1sumj=1

αjY lnxj + αY TT (13)

where xj =xj

xJ j = 1 2 J minus 1

Replacing equation 13 in equation 11 we define our empirical equation as

RC = αY + αY Y lnY +Jminus1sumj=1

αjY lnxj + αY TT + u+ v (14)

As highlighted by Kumbhakar et al (2012) once that we are interested in estimating

the individual mark-up of each bank we need to focus only on 14 without the need to

11

estimate the full distance input function defined by 12 Besides since the compound error

term (ε = u + v) is the same in the SFA models we use the Maximum Likelihood method

to estimate the model (14) For this it is necessary to assume a hypothesis about the

distribution of the two components

We follow the literature and assume that the random error component v is independent

and identically distributed with a normal distribution zero mean and constant variance

that is v sim N(0 σ2v) On the other hand for the nonnegative component u representing

the banksrsquo mark-up we extend the models of by Coccorese (2014) and Das amp Kumbhakar

(2016) and separating the deviation from the competitive frontier in a deterministic part

which is a function of a vector of explanatory variables Zrsquo of the purely stochastic part

Following the SFA literature we estimate the deterministic component of mark-up si-

multaneously with the parameters of the 14 in the same way as Lopez et al (2018) This

procedure reduces possibility of bias of the estimates when the stochastic term includes

determinants of deviations Thus the mark-up (u) in 14 can be represented by

u = Zrsquoδ + ω (15)

where ω is the stochastic component of mark-up and is defined by a truncated normal

distribution with zero mean and constant variance σ2ω such that ω ge -Zrsquoδ Therefore the

mark-up (u) follows a distribution u sim N+(Zrsquoδ σ2ω)

Combining equations 14 and 15 the model we estimate is as follows

RC = αY + αY Y lnY +Jminus1sumj=1

αjY lnxj + αY TT + Zrsquoδ + ωit + v (16)

In order to verify the impact of prudential measures on the degree of competition we

have included the measures Cerutti et al (2016) as determinants of mark-up in addition to

a measure of concentration represented by the HHI calculated from the total assets of the

banks

12

33 Market Power

To measure the degree of power of each bank we use the traditional measure defined by

Lerner (1934)

L =P minusMC

P (17)

if L = 0 P = MC and for any value L gt 0 P gt MC In the limit L = 1

The connection between the SFA model (equation 16) and the Lerner index is done

rearranging the equation 5 Omitting the error term (v) for simplification we can rewrite

equation 5 as

P middot YC

partlnY

partlnCminus 1 = u

partlnY

partlnCmiddot (18)

Considering that partlnYpartlnC

= (partYpartC

)(CY

) we have

P minusMC

MC=

u

EC

middot (19)

Equation 19 corresponds to an alternative definition of mark-up called θ where the

distance between price and marginal cost is expressed as a fraction of the latter In addition

since the function input distance is dual the cost function we can substitute EC for EY in

equation 19 and after estimating equation 16 and obtain estimates of the mark-up (u) the

estimation of market power can be obtained by replacing the values estimated in equation 19

as follow

θ equiv P minusMC

MC=

u

αY + αY Y lnY +sumJminus1

j=1 αjY ln xj + αY TT (20)

This estimate can be used to obtain the traditional measure of Lerner index as in

equation 16 employing the following formula

L =θ

1 + θ (21)

13

34 Returns to Scale

Finally we can use the estimates of equation 16 to obtain other characteristics of tech-

nology such as the return to scale and the scale bias Formally EC = partlnCpartlnY

= (partCpartY

)(YC) =

MCAC where AC represents the average cost This means that the return to scale is

inversely related to cost elasticity that is RTS = 1EC If EC = 1 we will have constant re-

turns to scale if EC lt 1 we will have increasing returns (economies of scale) and if (EC gt 1)

we will have decreasing returns (diseconomies of scale) Again using the duality condition

between IDF and the cost function we can use the estimates of equation 16 to calculate the

return to scale and scale bias Respectively

RTS =1

αY + αY Y lnY +sumJminus1

j=1 αjY ln xj + αY TT(22)

and

Scale Bias = αY T (23)

If the scale bias parameter (αY T ) is statistically significant and greater than zero this

suggests that technological change is reducing economies of scale over time

4 Database and empirical approach

The database used can be divided into two parts The first part includes the information

of all FI authorized to operate in Brazil by the Brazilian Central Bank (BCB) This infor-

mation is available on the BCBrsquos website through the IFdata system and contains detailed

information on the balance sheet income statement and credit portfolio of all IFs In ad-

dition data are available on an individual basis as well as on financial conglomerates and

prudential conglomerates1 For this work we use the concept of financial conglomerates In

1The BCB defines as a financial conglomerate the group of financial entities directly or unrelated byshareholding or by effective operational control characterized by standard management or by operatingin the market under the same brand or commercial name (Circular note no 1273 from Brazilian CentralBank) The concept of a prudential conglomerate in turn encompasses a broader universe of entities suchas consortium administrators payment institutions and companies that purchase credit operations (Officedocument no 1273 from Brazilian Central Bank)

14

December 2018 there was information on a total of 2753 IFs between commercial banks

or multiple banks with and without commercial portfolios credit cooperatives development

banks among others arranged quarterly since the first quarter of 2000

Our sample was restricted only to commercial banks or multiple banks with commercial

portfolios and savings banks Banks with loan portfolio equal zero and did not contain

information for at least three consecutive years were excluded In the same way we excluded

banks with observations that fell bellow 1st percentile of the sample for each one of variables

used in the model or above 99th percentile only for the dependent variable RC = TRC

Furthermore we chose to work with the data on a semi-annual basis (June and December

base dates) because inconsistencies we have found in some quarterly accounting data After

applying all these criteria our sample was restricted to a panel with only 83 banks between

the first half of 2000 and the second half of 2014 totaling 1818 observations2 In terms

of representativeness our sample with only 83 banks corresponded to 794 of the total

assets and 817 of the credit portfolio of the entire SFN in December 2014

The second database was obtained from Cerutti et al (2016) In this unprecedented

database the focus is on the change and intensity in the use of a set of prudential instruments

classified as micro-prudential and macro-prudential3 They collect the data for 64 countries

with a quarterly period covering the period between the first quarter of 2000 and the fourth

quarter of 2014 In the database in addition to a considerable number of countries the

information collected by the authors has the objective of mapping the intensity and the

change occurring quarterly in each of the prudential instruments

The original instruments of the database are the capital requirement capital buffer

interbank exposure limit concentration limit maximum loan amount commonly known as

Loan-to-value and reserve requirement

Concerning the capital requirement instrument we can understand it as an imposition

2Although the BCB has information until the second half of 2018 the database with prudential variablesavailable in the article by Cerutti et al (2016) goes only until the second half of 2014

3The database of Cerutti et al (2016) is a considerable advance to the available prudential data collectedso far in Lim et al (2011) and Cerutti et al (2017a) In both studies the focus is on only identifying whetheror not the country has implemented the appropriate prudential instrument

15

for a compulsory deposit with the BCB of demand deposits of financial institutions Capital

buffer serves as a buffer against countercyclical capital whose purpose is to protect the

banking sector in periods of excessive credit growth which is associated with increased

systemic risk On the other hand in periods of credit constraint the buffering capital may

decrease and thus not affecting the performance of the real side of the economy

The interbank exposure limit is a liability limiter maintained by the banking sector as a

whole or by a particular bank By the concentration limit we mean a procedure that limits

the fraction of assets concentrated to a limited number of borrowers

Loan-to-value is a restriction to the borrower or activity It is the imposition of maximum

amounts of loans on the value of collateral or even maximum amounts of indebtedness to the

income of the borrower Finally we can interpret a reserve requirement as an instrument

whose purpose is to limit the multiplication of money in the economy through the imposition

of compulsory deposits with the Central Bank

The prudential capital buffer instrument was broken down into the following categories

general capital requirement real estate credit consumer credit and others We decompose

the reserve requirement instrument into two sub-indices local domestic currency and foreign

currency

Information on intensity and change in prudential tooling is collected as follows by the

researchers If the financial regulator tightens the instrument in question in a specific quarter

the index assumes a value of +1 On the other hand if the same instrument undergoes

relaxation or loosening the value of minus1

Finally the index receives a value of zero if there was no change in the prudential

instrument in that quarter4 According to Cerutti et al (2016) in addition to capturing the

intensity of change in such a prudential policy this type of coding incorporates qualitative

characteristics of the policy that are lost by the type of dichotomous coding (1 if implemented

and 0 otherwise) Despite the simplicity of the coding used it is imperfectly able to measure

direction in policy change Not all the instruments available on the original basis were used

4For more details on how the base was built see Cerutti et al (2016)

16

because some measures were not implemented by the BCB Examples are the capital buffer

for real estate credit the concentration limit of banks to sectors or borrowers and the limit

on interbank exposure

Moreover due to the low variability in most measures and the semi-annual structure

of the database obtained in the BCB we chose to use the cumulative indexes of variation

According to Cerutti et al (2016) the purpose of this cumulative index is to capture the

level of tightness or looseness over a given period Finally to capture an overall measure of

prudential instruments we aggregate all variations of prudential instruments into a single

aggregate instrument called cumulative prudential Table A5 attached illustrates the

change and the intensity of the prudential instruments implemented by Brazil according to

the data collected by Cerutti et al (2016)

Our empirical strategy consists in estimating the equation 16 by Maximum Likelihood in

a two-stage procedure wherein the first stage we obtain the estimates of the parameters of

the equation and in the second stage we calculate the estimates of uit using the conditional

mean estimator of Jondrow et al (1982)

After obtaining the estimates of u and RC equiv EY we use equation 20 to calculate the

estimated values of θ which are used to calculat e the Lerner Index (L) according to

equation 21

We estimated six models wif different sets of deterministic variables (prudential measures)

to control the parameter of market power (uit) In the first model we did not add any

controls In the second we include only the HHI In the third specification we include the

capital buffer and capital requirement The fourth model uses only the loan-to-value In the

fifth model we include reserve requirements in both foreign and local currency and in the

last model we include the cumulative prudential measure which is the sum of the changes

in all other prudential measures

The inclusion of prudential variables in a separated way was necessary because they

represent only the tightening or the loosening of the prudential instrument Therefore they

do not represent the change in the magnitude of the prudential instrument As such the

variables have little variability and the high correlation generated between them causes

17

severe problems in the estimation process by maximum likelihood In general the tests with

the aggregate models did not reach the convergence of likelihood function even using different

strategies for initial values or optimization algorithm and when the optimization reaches an

optimal state the estimates were inconsistent For this reason we chose to estimate simpler

models including prudential variables separately or at most two when they represented

similar measures

Besides two critical events occurred in the second half of 2008 and significantly changed

the structure and dynamics of the banking industry in Brazil The outbreak of the subprime

crisis in the US and the acquisition of Unibanco by Itau in Brazil5 Itau-Unibanco has become

the largest bank in Brazil (Itau-Unibanco) accounting for 191 of total SFN assets and

184 of the total loan portfolio in the second half of 2008

We can observe the increase in market concentration in Figure 1 which represents HHI

concentration indices for total assets and total credit portfolio The increase in concentra-

tion levels of the banking industry on the other hand also coincides temporarily with the

outbreak of the GFC and an increase in rigidity in prudential instruments after the onset of

the crisis6

These events result in a high correlation between the variables and making it more

difficult to isolate the effects of each variable on the parameter of market power In this

way we also chose to estimate an HHI-only model as the control variable of market power

(uit)

Figure 1 Evolution of the Herfindahl Index (HHI) over time using credit and total assets

for the Brazilian banking system

We summarize the description of the variables that we will use in the estimation of

5Unibanco was the sixth largest Brazilian bank in the first half of 2008 accounting for 59 of total SFNassets and 6 of the total loan portfolio Also Itau was the third largest bank with 118 of SFN and119 of the loan portfolio

6Cubillas amp Suarez (2018) find the same result as the banksrsquo market power increased shortly after theGFC

18

equation 16 and how we calculate them in Table 1 All variables included in equation 16

except for trend prudential variables an HHI are in the logarithms form

Table 1 Variables used to IDF estimatation

5 Empirical Results

We present the results of the models in Table 2 Initially focusing on the interpretation

of the parameters of the input-distance function we verified that the size of the IF credit

portfolio (lnY ) has a negative sign but it was significant only for models 1 4 and 5 This

result implies that the larger the portfolio size the lower the revenue-cost ratio of the FI

Table 2 Results of IDF estimation

The coefficients of Staff costs (lnx1) and volume of funding (lnx2) were also negative

and significant in all models Thus the higher the staff costs and the higher the funding

volume the lower the cost-to-cost ratio of the FIs The trend variable as established by

equation 23 represents the scale bias and the negative sign would indicate that technological

change would increase economies of scale over time however no estimate was significant

51 Impact of Prudential Measures on Mark-up

The evaluation of the variables that determine the mark-up parameter (u) shows that

all of them are statistically significant and positive The SFA model is not linear in these

parameters Therefore the value of the coefficients does not represent the effect of the

magnitude of changes in the variables on the mark-up (their elasticities) However we can

estimate their marginal effects We present them for each variable in Figure 2

19

Figure 2 Marginal effects of HHI and prudential instruments (Capital Buffer Capital

RequirementLTV Reserve Requirement (Foreign) Reserve Requirement (domestic) and

cumulative prud) on themark-upucomponent

The positive sign of HHI in model 2 means that the more concentrated the banking

industry is the higher the market power of FIs This result is in line with that established by

the traditional structure-conduct-performance paradigm (Schmalensee 1989) However as

can be seen in Figure 1 the increase in the concentration index coincides with the tightening

of the prudential measures stemming from the GFC In this sense we can not say whether

this is the real effect of the increase in market concentration on the market power of FIs or

whether it is affected by the tightening of prudential measures

If we focus on prudential instruments the results for capital buffers and the capital

requirement (model 3) indicate that a tightening in these variables - whose purpose is to

increase banksrsquo capital reserve during positive shocks in the economy - has a detrimental

effect on competition market since they raise the IF mark-ups This effect happens because

this prudential measure influences the smoothing of the credit supply cycle

The same results are present for the loan-to-value variable (model 4) In general this

measure sets limits on the leverage of mortgages and other securities and a tightening in

ltv is effective in controlling possible booms in the real estate market by reducing real estate

prices and ultimately reducing the excess volatility of the economy ((Zhang amp Zoli 2016

Ely et al 2019) According to the result found the higher the limits the greater the market

power of the FIs

With respect to reserve requirements both in foreign and local currency - credit limits

directly in foreign currency and domestic currency respectively - the results (model 5) also

demonstrate a detrimental effect on competition since the tightening in such measures also

implies an increase mark-up of IFs In the model 6 where we introduce the aggregate

prudential measure the result found is similar to the others that is the higher the tightness

(in general) in the prudential measures of the financial system the higher the market power

of FIs

20

Unfortunately since prudential variables represent only a measure of tightening or loos-

ening of prudential policy and not its magnitude we can not accurately assess the impact

of these variables on the mark-up The marginal effects represented in Figure 2 give us only

an idea of how such variables affected the estimated mark-ups

However in general we can say that the positive signs of the estimates mean that the

higher the tightness in these prudential policies the greater the mark-up and consequently

the higher the market power of the FIs Therefore we find a perverse effect on industry

competition and probably a loss of borrowers welfare

Our results are in accordance with the evidence that the increase in prudential rigor has

negative impacts mainly on the supply of credit (Lim et al 2011 Claessens 2015 Aiyar

et al 2014 Gropp et al 2018 Cerutti et al 2017a) Ceteris paribus the increase of IF

mark-ups would be a fully expected effect As highlighted by Claessens amp Laeven (2004) any

policy that restricts the activity of banks and hinders their operation has negative impacts

on market competition

52 Estimation of Lerner indices

Regarding the mark-up estimation the values reported at the bottom of Table 2 corre-

spond to the distance between the observed revenue-cost ratio and its competitive boundary

that is the component u

To interpret the mark-up however we will focus the discussion on the estimates of

Lerner index (equation 21) because they have a more unambiguous economic meaning We

summarize the results of Lerner index for general estimates by type of control and for each

model in Table 3 and the Figure 3 shows their frequency distributions We should emphasize

that these estimates are individuals that is we obtain the estimates for each IF and at each

period t The tables in Annex (A6 to A11) summarizes the estimates of the Lerner index

and the returns to scale for each IF in the sample

Table 3 Estimates of Lerner index general and by type of control

21

Figure 3 Frequency distribution of Lerner indexes for each model and density estimation

Kernel by typeof control

For all six models all mark-up estimates were within the theoretical range of 0 and 1

with the minimum value being 0009 (model 2) and the maximum value 0362 (model 3) In

general the estimated average value was between 0051 (model 2) and 0058 (models 1 and

5) which means that on average Brazilian banks have a mark-up between 51 and 58

These values are slightly different when we separate the estimates by type of control

In the case of state-owned banks the average mark-up was between 0047 (model 2)

and 0057 (model 1) These values are lower in all the estimated models to the values

of (privates) national banks (0052-0057) and foreign banks (0050-0061) However the

medians of estimated values for state-owned banks were higher than the national and foreign

private banks in all models

For comparison purposes these values are considerably lower than the value (016) esti-

mated for Brazil in Coccorese (2014) We believe that this difference is due to the model and

sample used Coccorese (2014) has estimated the dual version of model (equation 5) and

as highlighted by Kumbhakar et al (2012) the use of accounting information to calculate

input prices can generate problems when they are endogenous

Regarding the sample Coccorese (2014) also used a different period from ours (1994 to

2012) and a more significant number of IFs in the sample (189 against 83 used by us) The

main difference here is in the number of IF - 106 in total In this respect it is essential to

note that these FIs constitute small FIs and in the second half of 2014 they held only 37

of total SFN assets and 24 of the total credit portfolio

We tried to replicated the Coccoresersquo sample but in preliminary tests we have found great

difficulties in the models estimations in particular at convergence of likelihood function

We observed these small IFs had in several situations extremely high values for the revenue-

cost ratio or excessively low for the inputs used (personnel expenses and funding) as well

as other problems such as launch errors (positive values in variables of expenditure for

example) and missings For these reasons and considering that such IFs represented only a

22

small fraction of Brazilian credit market we decided to exclude them from the sample

However It is worth highlight as they are small FIs the vast majority operate in particular

segments of the credit market and probably assume a more risk-taking behavior Considering

that they will work with a segment of credit claimants with rdquoworse scoresrdquo than borrowers

using large FIs we expect that the mark-up of these IFs will be higher We can observe

(part of) this phenomenon in Figure 4 where we represent the estimates of the Lerner index

(vertical axis) against market share of total assets (horizontal axis) of our sample and it is

quite evident the smaller banks have the higher mark-ups Therefore as our sample exclude

a large proportion of these small IFs it is natural that Coccorese (2014)rsquo results larger than

ours

Figure 4 Lerner indexes according to the size (market share) of banksrsquo assets

Regardless of this our results seem to adhere well to reality because if we look at Figure

5 we note that the Lerner indices show a significant increase from the second semester of

2008 These results are in agreement with the results of Cubillas amp Suarez (2018) Besides

in Figure 6 Lerner indexes are separated by type of control and we can observe that with

some exceptions the market power has always been lower for state-owned banks especially

considering the period after the GFC

Figure 5 Average Lerner indices for each model between 2000q2 and 2014q4

Figure 6 Average Lerner indices estimated for public private national and private

foreign banks between2000q2 and 2014q4

23

53 Estimation of Returns to Scale

Finally Table 4 and Figure 7 summarize the estimates of returns to scale We highlight

that the average of the returns to the scale of the Brazilian FIs is very close if we comparer

the six estimated models (between 0848 and 0851) Although the values are close to unity

in all IFs we reject the hypotheses of constant returns to the scale that is RTS = 1 therefore

IFs have diseconomies of scale

Table 4 Estimates of returns to scale by control type and general

When we separate estimates by type of control the estimates of state-owned banks

(0937-0944) are higher than national (0824-0829) and foreign banks (0841-0844) This

result means that the scale problem is a problem common to all FIs in Brazil Moreover

state-owned banks runs closer to the constant return region than national and foreign banks

Figure 7 Frequency distribution of the returns to scale indexes for each model and

density estimationKernel by type of control

6 Final Considerations

Considering that the banking industry underwent a significant restructuring in recent

years caused by several mergers and acquisitions in the sector as well as by a severe financial

crisis started in mid 2007 and potentialized in 2008 understand the behavior of market

power and as a (partial) set of prudential instruments influencing this dynamic has become

paramount Thus in an innovative way this paper proposed the use of stochastic frontier

analysis techniques to measure market power for the Brazilian banking industry and to test

if such prudential measures had an impact on the competitive dynamics of sector

The estimated average Lerner index was between 51 and 58 for Brazilian FIs How-

ever when controlled by the type of control we find that state-owned banks have slightly

24

lower estimates than national and foreign banks respectively Also estimates of returns to

scale allow us to infer that FIs operate with diseconomies of scale

Concerning the impact of prudential measures on the market power of FIs our results

generally suggest that tightening of prudential measures have a positive impact on bank

mark-up and consequently have detrimental effects on competition in industry banking

Finally in future research it will be possible to better understand the influence of some

prudential measures in the banking market through the study by type of segment or line of

credit

25

References

Aiyar S Calomiris C W amp Wieladek T (2014) Does macro-prudential regulation leak ev-

idence from a uk policy experiment Journal of Money Credit and Banking 46 181ndash214

URL httpsonlinelibrarywileycomdoiabs101111jmcb12086 doi101111jmcb12086

arXivhttpsonlinelibrarywileycomdoipdf101111jmcb12086

Altunbas Y Binici M amp Gambacorta L (2018) Macroprudential policy and bank risk Journal of

International Money and Finance 81 203ndash220 doihttpsdoiorg101016jjimonfin201711

012

Araujo L A D d amp Jorge Neto P d M (2007) Risco e competicao bancaria no Brasil Revista Brasileira

de Economia 61 175ndash200 URL httpwwwscielobrscielophpscript=sci_abstractamppid=

S0034-71402007000200003amplng=enampnrm=isoamptlng=pt doi101590S0034-71402007000200003

Auer R amp Ongena S (2019) The countercyclical capital buffer and the composition of bank lending

Available at SSRN 3345189

Ayyagari M Beck T amp Peria M (2018) The micro impact of macroprudential policies Firm-level

evidence IMF Working Paper

Barbosa K de Paula Rocha B amp Salazar F (2015) Assessing competition in the banking indus-

try A multi-product approach Journal of Banking amp Finance 50 340ndash362 URL httpwww

sciencedirectcomsciencearticlepiiS0378426614001642 doi101016jjbankfin201405

003

Belaisch A (2003) Do Brazilian Banks Compete SSRN Scholarly Paper ID 879189 Social Science Research

Network Rochester NY URL httpspapersssrncomabstract=879189

Bikker J A Shaffer S amp Spierdijk L K (2012) Assessing competition with the panzar-rosse model

The role of scale costs and equilibrium Economics Letters 94 1025ndash1044

Bresnahan T F (1982) The oligopoly solution concept is identified Economics Letters 10 87ndash92 URL

httpdxdoiorg1010160165-1765(82)90121-5 doi1010160165-1765(82)90121-5

Bresnahan T F amp Reiss P (1991) Entry and competition in concentrated markets Journal of Political

Economy 99 977ndash1009

Camors C amp Peydro J (2014) Macroprudential and monetary policy Loan-level evidence from reserve

requirement Mimeo Universitat Pompeu Fabra URL httpspdfssemanticscholarorgd508

61639bb4e7453a7a39184edf9b0c1e7016a6pdf

Cardoso M Azevedo P F amp Barbosa K (2016) Concorrencia no setor bancario brasileiro bancos

individuais versus conglomerados bancarios (pp 113ndash146) URL httprepositorioipeagovbr

handle110586650

Cerutti E Claessens S amp Laeven L (2017a) The use and effectiveness of macroprudential policies New

26

evidence Journal of Financial Stability 28 203ndash224 doihttpsdoiorg101016jjfs201510

004

Cerutti E Correa R Fiorentino E amp Segalla E (2016) Changes in prudential policy instruments ndash a

new cross-country database IMF Working Paper WP1610

Cerutti E Dagher J amp DellrsquoAriccia G (2017b) Housing finance and real-estate booms A cross-country

perspective Journal of Housing Economics 38 1ndash13

Claessens S (2015) An overview of macroprudential policy tools Annual Re-

view of Financial Economics 7 397ndash422 URL httpsdoiorg101146

annurev-financial-111914-041807 doi101146annurev-financial-111914-041807

arXivhttpsdoiorg101146annurev-financial-111914-041807

Claessens S Ghosh S R amp Mihet R (2013) Macro-prudential policies to mitigate financial system

vulnerabilities Journal of International Money and Finance 39 153ndash185 doihttpsdoiorg10

1016jjimonfin201306023

Claessens S amp Laeven L (2004) What drives bank competition some international evidence Journal

of Money Credit and Banking 36 563ndash583 URL httpwwwjstororgstable3838954

Coccorese P (2014) Estimating the Lerner index for the banking industry a stochastic frontier approach

Applied Financial Economics 24 73ndash88 URL httpdxdoiorg101080096031072013866202

doi101080096031072013866202

Coelho C A De Mello J M amp Rezende L (2013) Do Public Banks Compete with Private

Banks Evidence from Concentrated Local Markets in Brazil Journal of Money Credit and Bank-

ing 45 1581ndash1615 URL httponlinelibrarywileycomdoi101111jmcb12063abstract

doi101111jmcb12063

Cubillas E amp Suarez N (2018) Bank market power and lending during the global financial crisis Jour-

nal of International Money and Finance 89 1ndash22 URL httpwwwsciencedirectcomscience

articlepiiS0261560618303048 doihttpsdoiorg101016jjimonfin201808003

Das A amp Kumbhakar S C (2016) Markup and efficiency of Indian banks an input distance func-

tion approach Empirical Economics (pp 1ndash31) URL httplinkspringercomarticle101007

s00181-015-1062-4 doi101007s00181-015-1062-4

Ely R Tabak B amp Teixeira A (2019) Heterogeneous effects of the implementation of macroprudential

policies on bank risk MPRA Paper No94546

Freixas X Laeven L amp Peydro J-L (2015) Systemic Risk Crises and Macroprudential Regulation

Mit Press URL httpwwwjstororgstablejctt17kk82g

Galati G amp Moessner R (2013) Macroprudential policy ndash a literature review Jour-

nal of Economic Surveys 27 846ndash878 URL httpsonlinelibrarywileycom

27

doiabs101111j1467-6419201200729x doi101111j1467-6419201200729x

arXivhttpsonlinelibrarywileycomdoipdf101111j1467-6419201200729x

Gropp R Mosk T Ongena S amp Wix C (2018) Banks Response to Higher Cap-

ital Requirements Evidence from a Quasi-Natural Experiment The Review of Finan-

cial Studies 32 266ndash299 URL httpsdoiorg101093rfshhy052 doi101093rfshhy052

arXivhttpoupprodsislanrfsarticle-pdf32126627185080hhy052pdf

Hyde C E amp Perloff J M (1995) Can market power be estimated Review of Industrial Organization 10

465ndash485 URL httplinkspringercomarticle101007BF01024231 doi101007BF01024231

Igan D amp Kang H (2011) Do loan-to-value and debt-to-income limits work evidence from korea IMF

Working Papers (pp 1ndash34)

Jimenez G Ongena S Peydro J-L amp Saurina J (2017) Macroprudential policy countercyclical bank

capital buffers and credit supply Evidence from the spanish dynamic provisioning experiments Journal

of Political Economy 125 2126ndash2177 URL httpsdoiorg101086694289 doi101086694289

arXivhttpsdoiorg101086694289

Jondrow J Knox Lovell C A Materov I S amp Schmidt P (1982) On the estimation of technical

inefficiency in the stochastic frontier production function model Journal of Econometrics 19 233ndash

238 URL httpwwwsciencedirectcomsciencearticlepii0304407682900045 doi101016

0304-4076(82)90004-5

Klingelhoger J amp Sun R (2019) Macruprudential policy central banks and financial stability Evidence

from china Journal of International Money and Finance 93 19ndash41 URL httpsdoiorg101016

jjimonfin201812015

Kumbhakar S C (2012) Specification and estimation of primal production models European Journal

of Operational Research 217 509ndash518 URL httpwwwsciencedirectcomsciencearticlepii

S0377221711008939 doi101016jejor201109043

Kumbhakar S C Baardsen S amp Lien G (2012) A New Method for Estimating Market Power with

an Application to Norwegian Sawmilling Review of Industrial Organization 40 109ndash129 URL http

linkspringercomarticle101007s11151-012-9339-7 doi101007s11151-012-9339-7

Lerner A P (1934) The Concept of Monopoly and the Measurement of Monopoly Power The Review

of Economic Studies 1 157ndash175 URL httprestudoxfordjournalsorglookupdoi102307

2967480 doi1023072967480

Lim C H Costa A Columba F Kongsamut P Otani A Saiyid M Wezel T amp Wu X (2011)

Macroprudential policy what instruments and how to use them lessons from country experiences IMF

working papers (pp 1ndash85)

Lopez R A He X amp Azzam A (2018) Stochastic frontier estimation of market

28

power in the food industries Journal of Agricultural Economics 69 3ndash17 URL https

onlinelibrarywileycomdoiabs1011111477-955212219 doi1011111477-955212219

arXivhttpsonlinelibrarywileycomdoipdf1011111477-955212219

Lucinda C R (2010) Competition in the Brazilian loan market an empirical analysis Estudos Economicos

(Sao Paulo) 40 831ndash858 URL httpwwwscielobrscielophpscript=sci_abstractamppid=

S0101-41612010000400004amplng=enampnrm=isoamptlng=en doi101590S0101-41612010000400004

Moreno R (2011) Policymaking from arsquomacroprudentialrsquoperspective in emerging market economies

Nakane M I (2002) A test of competition in brazilian banking Estudos Economicos (Sao Paulo) 32

203ndash224 URL httpwwwrevistasuspbreearticleview117799

Panzar J C amp Rosse J N (1987) Testing for rdquomonopolyrdquo equilibrium The Journal of Industrial

Economics 35 443ndash456 URL httpwwwjstororgstable2098582 doi1023072098582

Richter B Schularick M amp Shim I (2019) The costs of macroprudential policy Journal of Inter-

national Economics 118 263 ndash 282 URL httpwwwsciencedirectcomsciencearticlepii

S0022199618302617 doihttpsdoiorg101016jjinteco201811011

Schmalensee R (1989) Chapter 16 inter-industry studies of structure and performance In Hand-

book of Industrial Organization (pp 951ndash1009) Elsevier BV URL httpdxdoiorg101016

s1573-448x(89)02004-2 doi101016s1573-448x(89)02004-2

Silva M S d () Avaliacao do processo de concentracao-competicao no setor bancario brasileiro URL

httpwwwbcbgovbrpecwpsporttd377pdf

Tabak B amp Gomes G (2015) The impact of market power at bank level in risk-taking The brazilian

case International Review of Financial Analysis 40 154ndash165

Tabak B M Fazio D M amp Cajueiro D O (2012) The relationship between banking market competition

and risk-taking Do size and capitalization matter 36 3366ndash3381 URL httpwwwsciencedirect

comsciencearticlepiiS0378426612002026 doi101016jjbankfin201207022

Wong T Fong T Li K-f amp Choi H (2011) Loan-to-value ratio as a macroprudential tool-hong kongrsquos

experience and cross-country evidence

Zhang L amp Zoli E (2016) Leaning against the wind Macroprudential policy in asia Journal of Asian

Economics 42 33ndash52

29

Figure 1 Evolution of the Herfindahl Index (HHI) over time using credit and total assets for theBrazilian banking system

30

Figure 2 Marginal effects of HHI and prudential instruments (Capital Buffer Capital RequirementLTV Reserve Requirement (Foreign) Reserve Requirement (domestic) and cumulative prud) on the

mark-up u component

31

Figure 3 Frequency distribution of Lerner indexes for each model and density estimation Kernel by typeof control

32

Figure 4 Lerner indexes according to the size (market share) of banksrsquo assets

33

Figure 5 Average Lerner indices for each model between 2000q2 and 2014q4

34

Figure 6 Average Lerner indices estimated for public private national and private foreign banks between2000q2 and 2014q4

35

Figure 7 Frequency distribution of the returns to scale indexes for each model and density estimationKernel by type of control

36

Table 1 Variables used to IDF estimatation

Variabel Description SourceBasic variables

TR Total Revenue = Gross Insterest Income (a) + Bank-ing Service Fee Income (d1) + Banking Fee Income(d2) + Other Operating Income (d7)

Inc statIFData

TC Total Cost = Interest Expenses (b) + Personnel Ex-penses (d3) + Administrative Expenses (d4) + TaxExpenses (d5) + Other Operating Expenses (d8)

Inc statIFData

Y Loan Lease and Other Credit Operations by RiskLevel

SummaryIFData

x1 Personnel Expenses (d3) Inc statIFDatax2 Funding (e) LiabilitiesIFDatax3 Equity (j) LiabilitiesIFData

Model variabelslnRC Log of Revenue-Cost ratiolnY Log of total loanlnx1 Log of personnel expenses and equity ratio (x1x3)lnx2 Log of funding and equity ratio (x2x3)T Time

Prudential variables - Deterministic mark-up parametersHHIt HHIt =

sumS2it where Sit

2 is market share of totalasset of bank i on time t

Inc statIFData

cb cumulative change of capital buffer Cerutti et al (2016)cr cumulative change of capital requirement Cerutti et al (2016)ltv cumulative change of loan-to-value Cerutti et al (2016)

rr foreign cumulative change of reserve requirement (foreigncurrency)

Cerutti et al (2016)

rr local cumulative change of reserve requirement (domesticcurrency)

Cerutti et al (2016)

37

Table 2 Results of IDF estimation

Parameters VariablesEstimates

Model Model Model Model Model Model(1) (2) (3) (4) (5) (6)

Parametros da funcao insumo distanciaαY Y lnY -0013 -0003 -0004 -0012 -0011 -0005

(000) (000) (000) (000) (000) (000)α1Y lnx1 -0096 -0095 -0094 -0094 -0096 -0090

(001) (001) (001) (001) (001) (001)α2Y lnx2 -0019 -0022 -0022 -0019 -0020 -0021

(001) (001) (001) (001) (001) (001)αY T T -0000 -0000 -0000 -0000 -0000 -0000

(000) (000) (000) (000) (000) (000)αY const 1153 1010 1035 1134 1129 1057

(005) (007) (005) (005) (005) (006)

Deterministic Mark-up parametersδ1 HHI 764157

(12270)δ1 Capital

Buffer7586(065)

δ2 CapitalReq

4696(160)

δ1 Loan-to-value38511(671)

δ1 ResR(foreign)10730(433)

δ2 ResR(local)2869(126)

δ1 Cum Prud3237(020)

δ0 const minus10601minus10194minus5306 minus9866 minus8577 minus4993(032) (2064) (316) (079) (119) (122)

Distribution of u and vσ2u 2840 1418 1620 2643 2441 1593σ2v 0118 0121 0120 0118 0118 0120λ 2402 1172 1354 2233 2065 1325Log Lik 887404 922033 918606 896019 891991 907817

EstimatesEstimates of Mark-up (u)Avg 0075 0065 0068 0074 0075 00691st quartile 0052 0038 0051 0051 0051 0044Median 0062 0048 0060 0060 0061 00543st quartile 0080 0074 0079 0079 0079 0075std-dev 0053 0054 0053 0053 0054 0054

Note p lt 010 p lt 005 and p lt 001

38

Table 3 Estimates of Lerner index general and by type of control

EstimatesModel Model Model Model Model Model

(1) (2) (3) (4) (5) (6)Mark-up (L) generalAverage 0058 0051 0053 0057 0058 0053std-dev 0032 0034 0034 0032 0032 00331st quartile 0043 0031 0034 0041 0042 0036Median 0051 0039 0044 0050 0050 00453st quartile 0063 0060 0059 0063 0063 0060Mark-up (L) State-owned banksAverage 0057 0047 0049 0056 0056 0050std-dev 0018 0017 0017 0018 0016 00161st quartile 0047 0035 0038 0045 0046 0040Median 0054 0041 0046 0053 0053 00463st quartile 0064 0056 0056 0064 0063 0057Mark-up (L) National banksAverage 0057 0052 0054 0057 0057 0054std-dev 0034 0038 0038 0035 0035 00371st quartile 0041 0030 0033 0040 0041 0035Median 0050 0038 0043 0048 0049 00443st quartile 0061 0061 0060 0061 0062 0060Mark-up (L) Foreign banksAverage 0061 0050 0053 0059 0060 0054std-dev 0034 0033 0032 0034 0034 00321st quartile 0042 0031 0034 0041 0042 0036Median 0052 0040 0044 0051 0051 00453st quartile 0068 0059 0060 0066 0066 0061

Table 4 Estimates of returns to scale by control type and general

ModelState-owned

banksNational

banksForeignbanks

General std-dev Min Max

1 0944 0824 0842 0848 0073 0665 11242 0940 0829 0843 0851 0066 0690 10733 0938 0827 0842 0849 0066 0689 10764 0941 0824 0842 0848 0071 0671 11115 0942 0824 0841 0848 0072 0669 11136 0937 0829 0844 0850 0065 0692 1073

39

Appendix A Attachment Tables

Table A5 Cumulative change on Prudential Measures intensity

TimeCapitalBuffer 2

(cb)

CapitalReq(cr)

Loan-to-Value(ltv)

Reserve Reqlocal curr

(RR local)

Reserve Reqforeign cur

(RR foreign)

CumulativePrudential 3

(Cum Prud)2000q2 -1 0 0 0 -2 -32000q4 -1 0 0 0 -2 -32001q2 -1 0 0 0 -2 -32001q4 0 0 0 0 -1 -12002q2 0 0 0 0 0 02002q4 2 0 0 0 2 42003q2 0 0 0 0 3 32003q4 0 0 0 0 2 22004q2 0 0 0 0 2 22004q4 0 0 0 0 2 22005q2 0 0 0 0 2 22005q4 0 0 0 0 2 22006q2 0 0 0 0 2 22006q4 0 0 0 0 2 22007q2 2 0 0 0 2 42007q4 2 0 0 0 2 42008q2 2 0 0 0 2 42008q4 2 0 0 0 1 32009q2 2 0 0 0 0 22009q4 2 0 0 0 -1 12010q2 2 0 0 0 1 32010q4 3 0 0 0 3 62011q2 3 0 0 1 3 72011q4 4 0 0 2 3 92012q2 3 1 0 2 3 92012q4 3 1 0 1 2 72013q2 3 2 0 0 2 72013q4 3 2 1 0 2 82014q2 3 2 1 0 2 82014q4 2 2 1 0 3 82Sum of capital buffer and others 3Aggregate measure (It is the sum of the change of all other instrument)

40

Table A6 Estimates of Lerner index and return to scale by bank - Model (1)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0042 0082 0009 0940 0007 -85Banrisul S 0055 0041 0084 0009 0952 0008 -635BEC S 0048 0021 0077 0016 0844 0009 -1756BRB S 0058 0033 0100 0015 0961 0003 -1533BB S 0058 0039 0098 0012 0990 0006 -173Caixa Economica Federal S 0063 0051 0174 0022 1052 0004 1458B da Amazonia SA S 0057 0016 0124 0023 0844 0008 -2028B do Estado Do Para SA S 0061 0026 0110 0022 0936 0004 -1764B do Est do Maranhao SA S 0055 0046 0065 0006 0935 0014 -455B do Est do Piauı SA - Bep S 0057 0030 0155 0029 0862 0004 -326B do Estado De Sergipe SA S 0061 0024 0135 0022 0947 0004 -1453Nossa Caixa - N Banco SA S 0057 0036 0090 0013 0981 0004 -444Bradesco N 0056 0038 0114 0015 0925 0004 -1945Itau N 0059 0031 0220 0033 0901 0003 -3797Safra N 0053 0037 0085 0009 0885 0003 -4215Unibanco N 0055 0037 0088 0014 0897 0001 -7054Mercantil Do Brasil N 0057 0027 0077 0011 0945 0002 -2527BBM N 0076 0016 0300 0065 0783 0005 -4464BMC N 0052 0030 0079 0012 0845 0003 -4703BMG N 0065 0017 0208 0045 0779 0003 -729JMalucelli N 0047 0022 0069 0013 0718 0003 -8765PEBB N 0065 0017 0181 0047 0698 0008 -3914SS N 0057 0034 0220 0037 0799 0007 -2839Sofisa N 0054 0021 0092 0020 0804 0002 -9903BIC N 0060 0034 0236 0040 0855 0005 -276Schahin N 0056 0028 0214 0035 0835 0006 -262Stock N 0081 0020 0267 0067 0817 0006 -3107Pine N 0052 0022 0108 0019 0808 0004 -545Socopa N 0056 0027 0120 0017 0886 0003 -3806Intercap N 0060 0023 0212 0037 0812 0007 -2851Indusval N 0062 0030 0246 0043 0857 0005 -3139Bonsucesso N 0052 0020 0092 0018 0779 0005 -4033Industrial do Brasil N 0051 0031 0081 0016 0807 0002 -952Votorantim N 0052 0037 0107 0017 0819 0009 -2117Cacique N 0053 0024 0071 0014 0774 0005 -4621Inter Amex N 0055 0037 0068 0010 0837 0008 -2158Alfa N 0048 0041 0059 0005 0806 0002 -11303Rendimento N 0053 0022 0080 0012 0872 0008 -1562Bancoob N 0052 0046 0056 0003 0856 0003 -5061Original N 0085 0017 0279 0090 0729 0007 -4163Banco Intermedium SA N 0052 0028 0070 0015 0743 0006 -3973

Table A6 ndash Continue on next page

41

Table A6 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0225 0049 0761 0003 -7509Banco BBN SA N 0053 0027 0077 0014 0817 0012 -1509B Cooperativo Sicredi SA N 0052 0043 0062 0005 0875 0005 -2477B Cooperativo do Brasil SA N 0056 0046 0142 0020 0910 0006 -1479Banco Topazio SA N 0060 0035 0110 0027 0834 0006 -2966Banco Gerador SA N 0069 0045 0122 0028 0852 0008 -1968Banco Randon SA N 0109 0023 0320 0109 0783 0005 -4158Parana Banco SA N 0050 0026 0108 0020 0784 0008 -2799Banco Triangulo SA N 0055 0028 0091 0020 0833 0004 -4201Banco Guanabara SA N 0052 0024 0169 0025 0777 0004 -5588Banco Cedula SA N 0068 0012 0339 0061 0731 0003 -10236Banco Cacique SA N 0077 0028 0248 0077 0785 0016 -1309B Luso Brasileiro SA N 0065 0027 0208 0043 0849 0004 -349Banco Pecunia SA N 0047 0039 0060 0006 0770 0003 -7086Banco Zogbi SA N 0051 0038 0067 0011 0778 0001 -15193Banco Daycoval SA N 0054 0023 0131 0026 0783 0004 -5522B John Deere SA N 0059 0018 0133 0033 0756 0003 -7955Banco AJ Renner SA N 0053 0025 0081 0015 0827 0006 -2742ABN Amro F 0056 0039 0079 0014 0914 0002 -427Chase F 0068 0014 0228 0049 0790 0008 -2678LLoyds F 0053 0027 0064 0012 0825 0003 -5159BankBoston F 0057 0040 0099 0020 0902 0006 -1638Santander Brasil F 0057 0034 0097 0017 0890 0008 -146Citibank F 0059 0026 0153 0028 0875 0003 -4039BNL F 0055 0041 0097 0019 0840 0006 -2767Sudameris F 0056 0048 0065 0005 0966 0012 -297Societe Generale F 0060 0024 0153 0031 0826 0006 -299Europeu F 0054 0032 0073 0013 0848 0007 -2287ABC-Brasil F 0052 0025 0082 0014 0815 0003 -6207Dresdner F 0083 0017 0280 0074 0815 0006 -3234AGF Braseg F 0051 0031 0100 0016 0794 0004 -4923HSBC F 0057 0046 0092 0010 0971 0006 -466Deutsche F 0068 0013 0160 0036 0857 0004 -3335BNP Paribas F 0050 0037 0068 0007 0824 0005 -3665Barclays F 0052 0024 0089 0021 0771 0008 -2787Rabobank Int Brasil SA F 0058 0022 0166 0028 0842 0003 -5284B Nat de Paris Br SA F 0063 0023 0109 0033 0811 0006 -3331Ibibank SA - Banco Multiplo F 0059 0012 0106 0024 0781 0015 -1441Dresdner Bank - B Multiplo F 0086 0016 0244 0068 0768 0008 -2746Banco Westlb Do Brasil SA F 0064 0034 0108 0027 0839 0010 -1626Banco GE Capital SA F 0067 0032 0247 0047 0852 0010 -1527B Com Uruguai SA F 0072 0020 0192 0049 0830 0003 -52281S - State-owned bank N - National bank and F - Foreign bank

42

Table A7 Estimates of Lerner index and return to scale by bank - Model (2)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0049 0032 0085 0016 0944 0008 -716Banrisul S 0049 0032 0106 0017 0939 0008 -75BEC S 0032 0016 0046 0008 0860 0009 -1489BRB S 0049 0030 0112 0017 0961 0002 -1681BB S 0049 0032 0091 0016 0948 0006 -845Caixa Economica Federal S 0052 0034 0081 0014 1012 0003 382B da Amazonia SA S 0053 0015 0140 0028 0847 0008 -1922B do Estado Do Para SA S 0046 0029 0063 0009 0952 0005 -963B do Est do Maranhao SA S 0036 0029 0045 0005 0963 0016 -235B do Est do Piauı SA - Bep S 0036 0023 0071 0011 0888 0005 -2314B do Estado De Sergipe SA S 0050 0020 0155 0024 0962 0004 -1043Nossa Caixa - N Banco SA S 0039 0027 0074 0011 0972 0005 -601Bradesco N 0050 0028 0116 0023 0890 0004 -2618Itau N 0052 0024 0222 0037 0869 0003 -4269Safra N 0046 0028 0100 0017 0867 0003 -5042Unibanco N 0035 0028 0054 0007 0873 0001 -8511Mercantil Do Brasil N 0051 0029 0093 0019 0941 0002 -2837BBM N 0063 0012 0213 0048 0790 0005 -4494BMC N 0034 0023 0049 0007 0851 0003 -4266BMG N 0065 0015 0233 0057 0776 0004 -6135JMalucelli N 0052 0018 0080 0016 0720 0003 -9566PEBB N 0037 0014 0108 0025 0732 0009 -3086SS N 0056 0024 0236 0046 0797 0007 -2849Sofisa N 0052 0018 0107 0028 0808 0002 -8115BIC N 0057 0026 0259 0050 0850 0006 -2531Schahin N 0047 0022 0225 0041 0845 0007 -2359Stock N 0078 0017 0287 0071 0843 0006 -2782Pine N 0048 0018 0114 0023 0811 0004 -4973Socopa N 0050 0022 0136 0024 0908 0003 -3089Intercap N 0051 0019 0133 0031 0832 0006 -2759Indusval N 0061 0023 0267 0052 0866 0006 -2437Bonsucesso N 0050 0017 0109 0026 0791 0006 -3655Industrial do Brasil N 0044 0024 0079 0015 0816 0002 -8095Votorantim N 0048 0025 0120 0026 0807 0007 -2721Cacique N 0033 0020 0039 0006 0782 0005 -4597Inter Amex N 0035 0025 0045 0007 0844 0006 -2419Alfa N 0042 0029 0069 0013 0801 0002 -12139Rendimento N 0049 0019 0077 0015 0889 0008 -1394Bancoob N 0065 0057 0073 0006 0855 0003 -4199Original N 0099 0019 0299 0096 0732 0006 -4473Banco Intermedium SA N 0062 0032 0081 0019 0754 0006 -4393

Table A7 ndash Continue on next page

43

Table A7 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0059 0016 0239 0051 0778 0003 -6944Banco BBN SA N 0035 0020 0053 0009 0834 0011 -1466B Cooperativo Sicredi SA N 0045 0032 0070 0011 0881 0005 -2581B Cooperativo do Brasil SA N 0045 0029 0147 0025 0922 0006 -1274Banco Topazio SA N 0076 0043 0138 0038 0861 0005 -2569Banco Gerador SA N 0089 0054 0153 0037 0874 0008 -1645Banco Randon SA N 0122 0029 0335 0113 0803 0005 -388Parana Banco SA N 0033 0020 0062 0011 0800 0009 -234Banco Triangulo SA N 0052 0022 0105 0027 0841 0004 -4148Banco Guanabara SA N 0046 0019 0091 0020 0793 0004 -5561Banco Cedula SA N 0062 0011 0359 0067 0749 0003 -9911Banco Cacique SA N 0049 0020 0157 0048 0791 0016 -1315Banco Luso Brasileiro SA N 0066 0022 0241 0055 0870 0005 -2851Banco Pecunia SA N 0032 0027 0036 0003 0787 0003 -6876Banco Zogbi SA N 0032 0026 0037 0005 0784 0002 -13006Banco Daycoval SA N 0053 0019 0139 0036 0784 0004 -6065Banco John Deere SA N 0035 0016 0073 0016 0761 0003 -8278Banco AJ Renner SA N 0047 0021 0083 0015 0844 0006 -2553ABN Amro F 0035 0027 0047 0006 0889 0002 -7231Chase F 0054 0013 0157 0033 0804 0007 -2702LLoyds F 0033 0020 0043 0008 0821 0003 -5429BankBoston F 0036 0026 0060 0011 0888 0006 -1917Santander Brasil F 0055 0025 0115 0030 0864 0008 -1647Citibank F 0051 0020 0132 0025 0860 0003 -4735BNL F 0036 0026 0062 0012 0843 0005 -2959Sudameris F 0036 0031 0040 0004 0949 0011 -468Societe Generale F 0051 0018 0104 0024 0835 0007 -2454Europeu F 0034 0025 0041 0006 0859 0007 -2076ABC-Brasil F 0043 0026 0086 0015 0813 0003 -5797Dresdner F 0050 0014 0190 0046 0824 0004 -3975AGF Braseg F 0044 0024 0068 0014 0810 0005 -4109HSBC F 0052 0031 0110 0021 0948 0007 -776Deutsche F 0054 0012 0166 0030 0866 0005 -2754BNP Paribas F 0049 0028 0073 0013 0818 0004 -4092Barclays F 0065 0028 0121 0027 0811 0005 -4028Rabobank Int Brasil SA F 0047 0017 0102 0017 0845 0003 -4605B Nat de Paris Brasil SA F 0036 0017 0054 0013 0819 0005 -3304Ibibank SA - Banco Multiplo F 0043 0010 0114 0025 0782 0013 -1623Dresdner Bank - B Multiplo F 0096 0015 0270 0076 0785 0007 -2924Banco Westlb Do Brasil SA F 0041 0026 0062 0013 0853 0010 -154Banco GE Capital SA F 0054 0026 0253 0049 0862 0010 -1444B Com Uruguai SA F 0070 0017 0220 0058 0849 0003 -4471S - State-owned bank N - National bank and F - Foreign bank

44

Table A8 Estimates of Lerner index and return to scale by bank - Model (3)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0034 0090 0016 0941 0008 -772Banrisul S 0051 0032 0108 0016 0938 0008 -772BEC S 0035 0018 0051 0009 0856 0009 -1562BRB S 0052 0032 0122 0018 0958 0002 -1793BB S 0052 0035 0085 0015 0951 0006 -809Caixa Economica Federal S 0054 0039 0098 0014 1015 0003 465B da Amazonia SA S 0053 0014 0113 0024 0845 0008 -1977B do Estado Do Para SA S 0049 0028 0071 0010 0947 0005 -1117B do E do Maranhao SA S 0041 0032 0059 0008 0957 0015 -285B do E do Piauı SA - Bep S 0041 0028 0086 0014 0882 0005 -2518B do Estado De Sergipe SA S 0052 0021 0145 0022 0957 0004 -1182Nossa Caixa - N Banco SA S 0045 0029 0081 0015 0971 0005 -651Bradesco N 0052 0029 0101 0021 0893 0004 -2614Itau N 0054 0025 0203 0034 0872 0003 -4328Safra N 0048 0029 0093 0015 0869 0003 -5008Unibanco N 0041 0028 0067 0010 0874 0001 -8514Mercantil Do Brasil N 0053 0026 0095 0018 0939 0002 -29BBM N 0067 0013 0250 0056 0789 0005 -4501BMC N 0038 0024 0069 0010 0849 0003 -4408BMG N 0067 0015 0233 0058 0776 0004 -6374JMalucelli N 0052 0022 0087 0016 0720 0003 -9426PEBB N 0045 0014 0158 0040 0727 0009 -3192SS N 0057 0025 0231 0046 0797 0007 -287Sofisa N 0053 0018 0116 0026 0807 0002 -8444BIC N 0059 0030 0250 0049 0850 0006 -2596Schahin N 0048 0023 0220 0038 0842 0007 -2424Stock N 0083 0017 0304 0077 0838 0006 -2873Pine N 0049 0019 0105 0020 0810 0004 -5103Socopa N 0050 0026 0111 0018 0903 0003 -3253Intercap N 0055 0020 0196 0036 0828 0006 -283Indusval N 0062 0029 0282 0052 0863 0005 -2588Bonsucesso N 0051 0017 0118 0025 0789 0006 -3771Industrial do Brasil N 0046 0025 0086 0015 0815 0002 -8341Votorantim N 0050 0027 0128 0027 0809 0007 -2664Cacique N 0037 0020 0048 0009 0781 0005 -4645Inter Amex N 0039 0026 0058 0009 0842 0006 -2468Alfa N 0044 0031 0072 0011 0801 0002 -11998Rendimento N 0049 0022 0078 0011 0885 0008 -1463Bancoob N 0066 0057 0077 0007 0854 0003 -4342Original N 0102 0019 0301 0096 0730 0006 -4526Banco Intermedium SA N 0059 0027 0083 0020 0752 0006 -4354

Table A8 ndash Continue on next page

45

Table A8 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0017 0217 0054 0776 0003 -7084Banco BBN SA N 0038 0022 0058 0010 0831 0011 -1492B Cooperativo Sicredi SA N 0047 0035 0071 0010 0879 0005 -259B Cooperativo do Brasil SA N 0046 0035 0128 0020 0919 0006 -1339Banco Topazio SA N 0075 0036 0153 0041 0855 0005 -2657Banco Gerador SA N 0091 0057 0144 0034 0869 0008 -173Banco Randon SA N 0124 0029 0332 0112 0799 0005 -4023Parana Banco SA N 0036 0021 0071 0012 0797 0008 -2452Banco Triangulo SA N 0053 0023 0115 0027 0839 0004 -4256Banco Guanabara SA N 0047 0020 0100 0019 0790 0004 -561Banco Cedula SA N 0066 0012 0362 0068 0747 0003 -10082Banco Cacique SA N 0063 0026 0231 0074 0789 0016 -1336Banco Luso Brasileiro SA N 0066 0026 0249 0053 0865 0005 -2985Banco Pecunia SA N 0034 0029 0041 0004 0784 0003 -7038Banco Zogbi SA N 0036 0027 0046 0006 0782 0002 -13399Banco Daycoval SA N 0054 0019 0131 0034 0784 0004 -607Banco John Deere SA N 0039 0015 0083 0018 0761 0003 -8316Banco AJ Renner SA N 0049 0024 0073 0013 0840 0006 -2621ABN Amro F 0041 0030 0066 0009 0890 0002 -6866Chase F 0059 0013 0173 0039 0801 0007 -2733LLoyds F 0038 0021 0055 0010 0821 0003 -5484BankBoston F 0040 0028 0063 0012 0888 0006 -1931Santander Brasil F 0056 0028 0107 0027 0866 0008 -1663Citibank F 0052 0022 0123 0023 0860 0003 -4735BNL F 0039 0028 0063 0014 0841 0005 -2966Sudameris F 0041 0036 0052 0006 0948 0011 -473Societe Generale F 0052 0020 0103 0022 0833 0006 -2579Europeu F 0038 0030 0049 0007 0856 0007 -2153ABC-Brasil F 0046 0029 0079 0014 0813 0003 -5935Dresdner F 0055 0014 0212 0052 0822 0005 -3913AGF Braseg F 0046 0027 0071 0014 0806 0005 -4276HSBC F 0053 0032 0101 0019 0949 0007 -784Deutsche F 0058 0013 0141 0029 0863 0005 -2878BNP Paribas F 0051 0030 0074 0012 0818 0004 -4118Barclays F 0066 0025 0130 0030 0805 0005 -4123Rabobank Int Brasil SA F 0049 0019 0109 0018 0844 0003 -4752B Nat de Paris Brasil SA F 0041 0019 0069 0018 0817 0005 -3368Ibibank SA - Banco Multiplo F 0046 0010 0095 0021 0781 0014 -1617Dresdner Bank - B Multiplo F 0093 0017 0282 0072 0782 0008 -2899Banco Westlb Do Brasil SA F 0044 0027 0069 0015 0850 0009 -1591Banco GE Capital SA F 0055 0026 0249 0046 0859 0009 -1489B Com Uruguai SA F 0071 0017 0228 0056 0845 0003 -46241S - State-owned bank N - National bank and F - Foreign bank

46

Table A9 Estimates of Lerner index and return to scale by bank - Model (4)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0054 0041 0078 0011 0939 0007 -873Banrisul S 0055 0040 0106 0014 0948 0008 -692BEC S 0046 0020 0072 0014 0846 0009 -1746BRB S 0057 0032 0094 0016 0959 0002 -1673BB S 0057 0038 0095 0014 0981 0006 -33Caixa Economica Federal S 0061 0049 0165 0021 1042 0003 1249B da Amazonia SA S 0056 0015 0117 0022 0844 0008 -2047B do Estado Do Para SA S 0059 0025 0103 0020 0936 0004 -1701B do E Do Maranhao SA S 0052 0044 0062 0005 0936 0014 -448B do E Do Piauı SA - Bep S 0054 0029 0147 0028 0865 0004 -3201B do Estado De Sergipe SA S 0061 0023 0168 0026 0947 0004 -1484Nossa Caixa - N Banco SA S 0054 0035 0085 0012 0977 0004 -547Bradesco N 0056 0036 0107 0017 0919 0004 -2123Itau N 0058 0030 0212 0032 0896 0003 -3979Safra N 0052 0035 0107 0013 0882 0003 -445Unibanco N 0052 0035 0082 0013 0892 0001 -7446Mercantil Do Brasil N 0057 0027 0093 0015 0942 0002 -2687BBM N 0075 0015 0294 0064 0784 0005 -4512BMC N 0050 0029 0074 0011 0846 0003 -472BMG N 0065 0016 0202 0047 0779 0003 -7192JMalucelli N 0048 0022 0071 0014 0720 0003 -8923PEBB N 0061 0016 0172 0044 0704 0008 -382SS N 0056 0033 0213 0037 0799 0007 -2875Sofisa N 0053 0020 0087 0019 0805 0002 -9731BIC N 0061 0033 0269 0048 0854 0005 -2768Schahin N 0053 0027 0205 0034 0836 0006 -2627Stock N 0081 0020 0265 0068 0820 0006 -3122Pine N 0052 0022 0118 0021 0808 0004 -5467Socopa N 0054 0026 0114 0016 0888 0003 -3785Intercap N 0057 0023 0203 0035 0815 0006 -2877Indusval N 0062 0029 0239 0043 0857 0005 -3085Bonsucesso N 0052 0019 0088 0018 0782 0005 -403Industrial do Brasil N 0050 0030 0076 0015 0809 0002 -9427Votorantim N 0051 0036 0102 0017 0817 0008 -2222Cacique N 0050 0023 0067 0013 0776 0005 -4659Inter Amex N 0052 0035 0064 0009 0837 0007 -2226Alfa N 0048 0039 0071 0007 0805 0002 -11484Rendimento N 0052 0022 0076 0013 0874 0008 -1571Bancoob N 0057 0045 0071 0011 0855 0003 -5022Original N 0094 0017 0278 0090 0730 0006 -4242Banco Intermedium SA N 0049 0027 0065 0014 0746 0006 -4054

Table A9 ndash Continue on next page

47

Table A9 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0019 0220 0050 0764 0003 -7516Banco BBN SA N 0050 0027 0072 0013 0819 0012 -1529B Cooperativo Sicredi SA N 0051 0041 0068 0006 0875 0005 -2551B Cooperativo do Brasil SA N 0053 0044 0134 0018 0910 0006 -151Banco Topazio SA N 0066 0035 0128 0036 0837 0005 -2981Banco Gerador SA N 0082 0045 0157 0043 0854 0007 -1967Banco Randon SA N 0106 0026 0312 0105 0786 0005 -4204Parana Banco SA N 0048 0025 0102 0018 0787 0008 -2768Banco Triangulo SA N 0054 0027 0088 0021 0834 0004 -427Banco Guanabara SA N 0051 0023 0161 0025 0780 0004 -5659Banco Cedula SA N 0069 0012 0360 0065 0735 0003 -1028Banco Cacique SA N 0073 0027 0240 0075 0786 0016 -1327Banco Luso Brasileiro SA N 0065 0026 0242 0047 0852 0004 -346Banco Pecunia SA N 0045 0037 0056 0006 0773 0003 -7139Banco Zogbi SA N 0048 0036 0064 0010 0779 0001 -15057Banco Daycoval SA N 0055 0022 0126 0030 0784 0004 -568Banco John Deere SA N 0056 0018 0125 0031 0757 0003 -8084Banco AJ Renner SA N 0051 0025 0077 0013 0829 0006 -2763ABN Amro F 0053 0038 0074 0013 0909 0002 -4803Chase F 0066 0014 0220 0046 0793 0008 -2711LLoyds F 0050 0026 0060 0011 0825 0003 -5323BankBoston F 0054 0038 0092 0018 0899 0006 -1734Santander Brasil F 0056 0033 0098 0019 0885 0007 -1529Citibank F 0059 0025 0145 0030 0872 0003 -421BNL F 0052 0039 0091 0018 0840 0006 -2854Sudameris F 0053 0046 0062 0005 0961 0011 -352Societe Generale F 0058 0023 0144 0028 0827 0006 -2968Europeu F 0052 0031 0069 0012 0849 0007 -23ABC-Brasil F 0051 0028 0091 0015 0815 0003 -6225Dresdner F 0078 0017 0271 0071 0816 0005 -339AGF Braseg F 0050 0030 0094 0015 0797 0004 -4873HSBC F 0057 0045 0116 0016 0966 0006 -562Deutsche F 0066 0013 0151 0034 0858 0004 -3316BNP Paribas F 0050 0036 0071 0010 0823 0005 -3772Barclays F 0057 0024 0102 0025 0777 0007 -3003Rabobank Int Brasil SA F 0057 0021 0157 0026 0842 0003 -5266B Nat de Paris Brasil SA F 0059 0023 0102 0030 0812 0006 -3387Ibibank SA - Banco Multiplo F 0056 0012 0100 0023 0781 0015 -148Dresdner Bank - B Multiplo F 0084 0016 0237 0064 0771 0008 -2798Banco Westlb Do Brasil SA F 0061 0033 0101 0025 0841 0010 -1646Banco GE Capital SA F 0063 0031 0238 0044 0853 0010 -1548B Com Uruguai SA F 0074 0020 0226 0056 0833 0003 -51921S - State-owned bank N - National bank and F - Foreign bank

48

Table A10 Estimates of Lerner index and return to scale by bank - Model (5)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0043 0093 0012 0940 0007 -834Banrisul S 0054 0041 0083 0009 0949 0008 -668BEC S 0046 0020 0075 0014 0846 0009 -1719BRB S 0058 0032 0121 0017 0960 0002 -1607BB S 0056 0037 0087 0010 0981 0006 -321Caixa Economica Federal S 0061 0050 0156 0019 1044 0003 1282B da Amazonia SA S 0057 0016 0115 0023 0843 0008 -2023B do Estado Do Para SA S 0059 0027 0102 0020 0938 0004 -1608B do E Do Maranhao SA S 0052 0042 0064 0006 0939 0015 -418B do E Do Piauı SA - Bep S 0054 0029 0138 0025 0866 0004 -3097B do Estado De Sergipe SA S 0059 0024 0136 0020 0949 0004 -1404Nossa Caixa - N Banco SA S 0055 0036 0088 0013 0979 0004 -494Bradesco N 0056 0037 0108 0016 0918 0004 -2108Itau N 0058 0031 0213 0033 0894 0003 -3968Safra N 0052 0036 0086 0010 0881 0003 -4388Unibanco N 0053 0037 0085 0013 0892 0001 -7433Mercantil Do Brasil N 0057 0027 0086 0012 0943 0002 -2619BBM N 0075 0015 0292 0063 0784 0005 -447BMC N 0050 0029 0077 0012 0846 0003 -4648BMG N 0067 0017 0220 0051 0777 0003 -7116JMalucelli N 0049 0022 0083 0016 0718 0003 -8879PEBB N 0060 0017 0176 0044 0704 0008 -3743SS N 0059 0032 0223 0041 0798 0007 -2847Sofisa N 0055 0021 0112 0022 0804 0002 -9624BIC N 0060 0032 0238 0041 0853 0005 -2725Schahin N 0055 0028 0228 0038 0836 0006 -2575Stock N 0082 0019 0267 0068 0821 0006 -3063Pine N 0052 0022 0096 0018 0808 0004 -5392Socopa N 0055 0027 0113 0016 0889 0003 -3694Intercap N 0060 0023 0210 0037 0814 0006 -2856Indusval N 0062 0029 0245 0044 0857 0005 -3023Bonsucesso N 0053 0020 0113 0022 0781 0005 -3999Industrial do Brasil N 0051 0030 0084 0016 0808 0002 -9274Votorantim N 0052 0037 0130 0022 0816 0008 -2227Cacique N 0049 0024 0065 0012 0775 0005 -4632Inter Amex N 0052 0034 0067 0011 0837 0007 -2236Alfa N 0047 0041 0056 0004 0804 0002 -11448Rendimento N 0053 0022 0079 0011 0874 0008 -1549Bancoob N 0056 0050 0064 0005 0856 0003 -4874Original N 0087 0018 0288 0093 0728 0006 -4259Banco Intermedium SA N 0055 0027 0078 0019 0744 0006 -4047

Table A10 ndash Continue on next page

49

Table A10 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0217 0048 0763 0003 -7417Banco BBN SA N 0051 0026 0075 0014 0820 0012 -1504B Cooperativo Sicredi SA N 0051 0040 0061 0005 0876 0005 -2499B Cooperativo do Brasil SA N 0054 0043 0136 0019 0912 0006 -1445Banco Topazio SA N 0061 0034 0109 0026 0838 0006 -2897Banco Gerador SA N 0073 0052 0124 0026 0855 0008 -1918Banco Randon SA N 0120 0024 0327 0114 0785 0005 -4153Parana Banco SA N 0048 0026 0106 0020 0786 0008 -2732Banco Triangulo SA N 0055 0027 0111 0022 0834 0004 -4227Banco Guanabara SA N 0052 0024 0153 0024 0779 0004 -5589Banco Cedula SA N 0069 0012 0339 0062 0734 0003 -10232Banco Cacique SA N 0076 0027 0246 0076 0785 0016 -1317Banco Luso Brasileiro SA N 0067 0027 0207 0047 0852 0004 -3379Banco Pecunia SA N 0046 0038 0054 0006 0773 0003 -71Banco Zogbi SA N 0047 0037 0061 0010 0778 0001 -14931Banco Daycoval SA N 0054 0022 0126 0026 0782 0004 -5661Banco John Deere SA N 0056 0018 0129 0031 0756 0003 -8043Banco AJ Renner SA N 0053 0025 0080 0015 0829 0006 -2716ABN Amro F 0053 0038 0074 0012 0908 0002 -4751Chase F 0067 0014 0225 0047 0792 0008 -2693LLoyds F 0049 0025 0064 0012 0824 0003 -5227BankBoston F 0054 0037 0096 0020 0899 0006 -1701Santander Brasil F 0057 0033 0103 0019 0884 0008 -1511Citibank F 0059 0026 0154 0028 0871 0003 -4204BNL F 0052 0037 0097 0020 0840 0006 -28Sudameris F 0052 0045 0058 0005 0962 0011 -334Societe Generale F 0060 0023 0151 0031 0827 0006 -2924Europeu F 0050 0032 0066 0012 0849 0007 -2263ABC-Brasil F 0051 0025 0079 0014 0814 0003 -617Dresdner F 0080 0017 0276 0073 0816 0005 -3374AGF Braseg F 0050 0031 0093 0015 0796 0004 -4812HSBC F 0057 0043 0093 0011 0966 0006 -541Deutsche F 0066 0013 0155 0035 0858 0004 -3244BNP Paribas F 0050 0035 0067 0008 0822 0005 -3775Barclays F 0056 0024 0113 0025 0778 0007 -305Rabobank Int Brasil SA F 0057 0021 0163 0027 0842 0003 -5208B Nat de Paris Brasil SA F 0058 0022 0100 0029 0812 0006 -3343Ibibank SA - Banco Multiplo F 0057 0012 0099 0023 0780 0015 -1478Dresdner Bank - B Multiplo F 0087 0016 0244 0068 0770 0008 -2768Banco Westlb Do Brasil SA F 0063 0034 0106 0026 0841 0010 -1625Banco GE Capital SA F 0064 0032 0247 0046 0853 0010 -1522B Com Uruguai SA F 0073 0019 0191 0049 0833 0003 -50981S - State-owned bank N - National bank and F - Foreign bank

50

Table A11 Estimates of Lerner index and return to scale by bank - Model (6)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0036 0096 0015 0939 0007 -855Banrisul S 0050 0035 0098 0014 0938 0008 -82BEC S 0041 0019 0067 0012 0855 0009 -1644BRB S 0053 0029 0124 0018 0956 0002 -1996BB S 0051 0032 0088 0013 0954 0006 -807Caixa Economica Federal S 0054 0040 0094 0012 1014 0003 475B da Amazonia SA S 0053 0015 0103 0022 0846 0008 -205B do Estado Do Para SA S 0051 0028 0074 0013 0943 0004 -1319B do E Do Maranhao SA S 0041 0031 0059 0008 0950 0014 -346B do E Do Piauı SA - Bep S 0042 0028 0084 0012 0879 0004 -2727B do Estado De Sergipe SA S 0052 0022 0153 0022 0953 0003 -1377Nossa Caixa - N Banco SA S 0047 0032 0081 0014 0969 0004 -74Bradesco N 0052 0032 0097 0019 0898 0004 -2645Itau N 0054 0027 0190 0031 0877 0003 -4452Safra N 0049 0032 0100 0015 0872 0003 -5056Unibanco N 0043 0032 0067 0010 0878 0001 -8666Mercantil Do Brasil N 0053 0026 0087 0017 0938 0002 -3104BBM N 0066 0013 0251 0056 0792 0005 -4556BMC N 0041 0026 0069 0011 0850 0003 -4582BMG N 0067 0016 0228 0057 0781 0003 -6611JMalucelli N 0051 0022 0089 0017 0725 0003 -9344PEBB N 0046 0015 0157 0039 0728 0008 -3313SS N 0058 0025 0230 0046 0801 0007 -292Sofisa N 0053 0020 0119 0025 0809 0002 -8846BIC N 0060 0029 0262 0049 0852 0005 -2697Schahin N 0049 0025 0229 0040 0843 0006 -2523Stock N 0081 0017 0284 0072 0836 0005 -2986Pine N 0049 0021 0112 0019 0812 0004 -5267Socopa N 0050 0026 0095 0015 0900 0003 -3515Intercap N 0055 0021 0196 0035 0828 0006 -2899Indusval N 0061 0029 0262 0049 0863 0005 -2762Bonsucesso N 0052 0019 0123 0026 0791 0005 -3885Industrial do Brasil N 0046 0027 0088 0015 0816 0002 -8698Votorantim N 0051 0027 0139 0027 0813 0007 -262Cacique N 0039 0022 0050 0009 0784 0005 -4707Inter Amex N 0045 0027 0064 0012 0843 0006 -2493Alfa N 0044 0033 0068 0009 0805 0002 -12111Rendimento N 0050 0022 0073 0010 0883 0008 -1543Bancoob N 0066 0055 0072 0007 0856 0003 -4559Original N 0098 0020 0294 0094 0735 0006 -4509Banco Intermedium SA N 0057 0024 0085 0022 0756 0006 -4324

Table A11 ndash Continue on next page

51

Table A11 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0061 0017 0195 0048 0777 0003 -7233Banco BBN SA N 0042 0023 0059 0012 0831 0011 -1529B Cooperativo Sicredi SA N 0048 0035 0066 0009 0879 0005 -2672B Cooperativo do Brasil SA N 0046 0034 0119 0017 0917 0006 -1439Banco Topazio SA N 0070 0031 0129 0036 0853 0005 -2776Banco Gerador SA N 0086 0057 0148 0034 0867 0007 -1825Banco Randon SA N 0126 0028 0331 0114 0799 0005 -4136Parana Banco SA N 0039 0023 0082 0015 0798 0008 -2556Banco Triangulo SA N 0052 0025 0116 0025 0840 0004 -4363Banco Guanabara SA N 0048 0021 0100 0019 0792 0004 -5683Banco Cedula SA N 0067 0013 0356 0067 0749 0002 -10205Banco Cacique SA N 0067 0026 0232 0073 0792 0015 -1356Banco Luso Brasileiro SA N 0065 0025 0237 0052 0864 0004 -3163Banco Pecunia SA N 0037 0029 0045 0006 0786 0003 -7158Banco Zogbi SA N 0037 0027 0045 0007 0785 0002 -13921Banco Daycoval SA N 0053 0020 0120 0031 0787 0003 -6088Banco John Deere SA N 0043 0017 0099 0022 0764 0003 -8346Banco AJ Renner SA N 0050 0025 0080 0013 0840 0006 -2706ABN Amro F 0043 0035 0067 0008 0894 0002 -6685Chase F 0059 0014 0189 0040 0803 0007 -2772LLoyds F 0039 0021 0055 0012 0824 0003 -5536BankBoston F 0044 0029 0075 0015 0890 0006 -1965Santander Brasil F 0054 0028 0107 0024 0871 0008 -1694Citibank F 0054 0023 0133 0026 0863 0003 -4787BNL F 0042 0028 0078 0018 0843 0005 -2998Sudameris F 0041 0036 0052 0006 0948 0010 -491Societe Generale F 0054 0020 0118 0025 0834 0006 -2716Europeu F 0038 0029 0049 0008 0856 0006 -2239ABC-Brasil F 0046 0028 0084 0014 0816 0003 -6111Dresdner F 0063 0015 0239 0061 0823 0005 -3888AGF Braseg F 0047 0027 0074 0014 0807 0004 -4477HSBC F 0054 0032 0109 0018 0950 0006 -823Deutsche F 0058 0013 0122 0028 0863 0004 -305BNP Paribas F 0051 0032 0070 0011 0822 0004 -4145Barclays F 0064 0024 0128 0029 0802 0005 -4051Rabobank Int Brasil SA F 0051 0019 0130 0021 0846 0003 -4992B Nat de Paris Brasil SA F 0043 0019 0070 0019 0819 0005 -3429Ibibank SA - Banco Multiplo F 0049 0010 0083 0020 0785 0013 -161Dresdner Bank - B Multiplo F 0087 0016 0261 0066 0783 0007 -2901Banco Westlb Do Brasil SA F 0051 0030 0082 0019 0850 0009 -1643Banco GE Capital SA F 0053 0028 0239 0044 0859 0009 -1544B Com Uruguai SA F 0071 0017 0217 0054 0845 0003 -48451S - State-owned bank N - National bank and F - Foreign bank

52

Seacuterie de Textos para Discussatildeo do Curso de Ciecircncias Econocircmicas ndash FACEUFG ndash TD [078]

EDITORIAL FACE ndash Faculdade de Administraccedilatildeo Ciecircncias Contaacutebeis e Ciecircncias Econocircmicas Curso de Ciecircncias Econocircmicas Direccedilatildeo FACE Prof Moiseacutes Ferreira da Cunha Vice-Direccedilatildeo FACE Profordf Andreacutea Freire de Lucena Coordenaccedilatildeo do Curso de Ciecircncias Econocircmicas Prof Tiago Camarinha Lopes NEPEC ndash Nuacutecleo de Estudos e Pesquisas Econocircmicas Coordenaccedilatildeo Prof Seacutergio Fornazier Meyrelles Filho SEacuteRIE DE TEXTOS PARA DISCUSSAtildeO DO CURSO DE CIEcircNCIAS ECONOcircMICAS DA UFG Coordenaccedilatildeo e Equipe de Editoraccedilatildeo Prof Sandro Eduardo Monsueto Adriana Moura Guimaratildees Matheus Henrique de Arauacutejo Dutra

Endereccedilo Campus Samambaia Preacutedio da FACE ndash Rodovia GoiacircniaNova Veneza km 0 ndash CEP 74690-900 Goiacircnia ndash GO Tel (62) 3521 ndash 1390 URL httpwwwfaceufgbreconomia Publicaccedilatildeo cujo objetivo eacute divulgar resultados de estudos que contam com a participaccedilatildeo de pesquisadores do NEPEC As opiniotildees contidas nesta publicaccedilatildeo satildeo de inteira responsabilidade do(s) autor(es) natildeo representando necessariamente o ponto de vista do NEPEC ou da FACEUFG Eacute permitida a reproduccedilatildeo desde que citada a fonte

Page 10: 1(3(& )$&( 8)* · The Dark Side of Prudential MeasuresI Paulo R. Scalco a, Benjamin M. Tabak1, Anderson M. Teixeira aFaculty of Management, Accounting and Economics, Federal University

3 Empirical Method

31 Empirical Model

Our empirical model follows the models proposed by Coccorese (2014) and Das amp Kumb-

hakar (2016) However we incorporate the possibility that the mark-up has two components

a purely stochastic and a deterministic part The derivation of the model starts from the

equilibrium condition that for a profit-maximizing bank (P ) will be greater than or equal

to its Marginal Cost (MC)

P geMC (1)

The distance between P and MC determines the degree of market power of the bank

If we multiply both terms of the inequality in equation 1 by the ratio of the total product

(Y ) and the total cost (C) and considering that MC = partCpartY

we have

P middot YCge partC

partY

Y

C (2)

or

TR

Cge partlnC

partlnY (3)

Where TR corresponds to the total revenue and the relationship established in equation 3

states that in the same way as price deviates from its marginal cost the revenue-cost ratio

of the bank (TRC) detracts from its cost-elasticity

The inequality in equation 3 can be solved by adding a non-negative term u Thus

RC equiv TR

C=

partlnC

partlnY+ u u ge 0 (4)

RC is the observed revenue-cost ratio and partlnCpartlnY

is the cost-elasticity The non-negative

term u represents the mark-up of the bank however it can not be calculated using the

bankrsquos accounting data because the cost elasticity unlike RC must be calculated from a cost

8

function In addition the revenue-cost ratio can be affected by other unobserved variables

To accommodate this assumption we add a random error term iid v to equation 4

RC =partlnC

partlnY+ u+ v (5)

32 Primal Approach

As equation 5 has been defined we need to specify a cost function to estimate the term

u that is we are using a dual approach in the context of production theory Kumbhakar

et al (2012) show however that SFA models can use both the dual and primal approaches

to estimate market power In the dual approach the total cost of the bank depends on

the output quantity and input prices and the primal approach we can specify a produc-

tion function (or an input-distance function) where the output is a function of only input

quantities

This flexibility is essential because unlike many examples in the banking industry we do

not have information available on input prices When empirical models need this informa-

tion such as the PR model for example researchers circumvent this problem by estimating

input price estimates from accounting information such as the ratio between expenditure

and the amount of input used (expenditure on staff on total assets for example) The use

of this artifice however as highlighted by Kumbhakar et al (2012) can generate problems

in situations where the amount of input is endogenous

Thus like Das amp Kumbhakar (2016) we use the primal form as an alternative to the dual

form We start from the specification of a transformation function defined as Af(x Y T ) =

1 where f(middot) is a production function for a given technology Y is the quantity produced x

is the quantity vector of inputs used T is a trend variable capturing technological changes

and A is a parameter of neutral technological shift

Using a set of appropriate identification restrictions (Kumbhakar 2012) we can derive a

function input distance (IDF) from the transformation function given by xJ = Ah(x Y T )

or lnxJ = Ah(ln x lnY T ) where xj =xj

xJ j = 1 2 J minus 1 The IDF uses the normal-

ization that f(x Y T ) is homogeneous of degree minus1 iesum

jpartlnfpartlnxj

= minus1

9

Assuming that banks minimize the cost subject to technology specified by the production

function the Lagrangian for the minimization can be defined as

L = wrsquox + λ(Af(x Y T )minus 1) (6)

where w is a vector of input prices and the corresponding first order condition is

wj = minusλApartf(middot)partxj

j = 1 2 J (7)

Multiplying and dividing both sides by xj and f(middot) and rearranging terms we can

rewrite 7 as

wjxj = minusλAf(middot)partf(middot)partxj

xjf(middot)

= minusλAf(middot)partlnf(middot)partlnxj

j = 1 2 J (8)

If we take the sum of all inputs equation 8 becomes

C =Jsum

j=1

wjxj = minusλAf(middot)Jsum

j=1

partlnf(middot)partlnxj

rArr minusλA =C

f(middot)middot 1sumJ

j=1partlnf(middot)partlnxj

(9)

From the envelop Theorem we have that the marginal cost (MC) is partLpartYequiv MC =

λApartf(middot)partY

= 0

If we use equation 9 we can express it as

MC = minus C

f(middot)middot 1sumJ

j=1partlnf(middot)partlnxj

middot partf(middot)partY

partC

party

Y

Cequiv partlnC

partlny= minuspartf(middot)

partY

Y

f(middot)middot 1sumJ

j=1partlnf(middot)partlnxj

EC equivpartlnC

partlny= minuspartlnf(middot)

partlnYmiddot 1sumJ

j=1partlnf(middot)partlnxj

=partlnf(middot)partlnY

equiv EY (10)

Equation 10 states that the Cost Elasticity (EC) equals Product elasticity (EY ) which

can be calculated from the parameters of the distance input function (IDF) This result

10

is important because it means that we can substitute the term on the right side of the

equation 5 by product elasticity that is

RC =partlnf(middot)partlny

+ u+ v u ge 0 (11)

The advantage of estimating equation 11 rather than equation 5 is that we can estimate

mark-ups without the need for input and output prices that is we only need the information

on revenue and total cost of banks and the respective input quantities

In order to estimate the mark-up defined in equation 11 we assume that the transforma-

tion function takes a form of the translog type and apply the appropriate normalizations as

in Kumbhakar (2012) to express the transformation function in the form of an input input

function given by

lnx1 = α0 +Jminus1sumj=1

αjlnxj +1

2

Jminus1sumj=1

Jsumk=2

αjklnxjlnxk

+ αY lnY +1

2αY Y (lnY )2 +

Jminus1sumj=1

αjY lnxjlnY+ + αTT +1

2αTTT

2

+Jminus1sumj=1

αjT lnxjT + αY TT lnY

(12)

from which we can derive the product-elasticity as

EY equivpartlnx1partlnY

= αY + αY Y lnY +Jminus1sumj=1

αjY lnxj + αY TT (13)

where xj =xj

xJ j = 1 2 J minus 1

Replacing equation 13 in equation 11 we define our empirical equation as

RC = αY + αY Y lnY +Jminus1sumj=1

αjY lnxj + αY TT + u+ v (14)

As highlighted by Kumbhakar et al (2012) once that we are interested in estimating

the individual mark-up of each bank we need to focus only on 14 without the need to

11

estimate the full distance input function defined by 12 Besides since the compound error

term (ε = u + v) is the same in the SFA models we use the Maximum Likelihood method

to estimate the model (14) For this it is necessary to assume a hypothesis about the

distribution of the two components

We follow the literature and assume that the random error component v is independent

and identically distributed with a normal distribution zero mean and constant variance

that is v sim N(0 σ2v) On the other hand for the nonnegative component u representing

the banksrsquo mark-up we extend the models of by Coccorese (2014) and Das amp Kumbhakar

(2016) and separating the deviation from the competitive frontier in a deterministic part

which is a function of a vector of explanatory variables Zrsquo of the purely stochastic part

Following the SFA literature we estimate the deterministic component of mark-up si-

multaneously with the parameters of the 14 in the same way as Lopez et al (2018) This

procedure reduces possibility of bias of the estimates when the stochastic term includes

determinants of deviations Thus the mark-up (u) in 14 can be represented by

u = Zrsquoδ + ω (15)

where ω is the stochastic component of mark-up and is defined by a truncated normal

distribution with zero mean and constant variance σ2ω such that ω ge -Zrsquoδ Therefore the

mark-up (u) follows a distribution u sim N+(Zrsquoδ σ2ω)

Combining equations 14 and 15 the model we estimate is as follows

RC = αY + αY Y lnY +Jminus1sumj=1

αjY lnxj + αY TT + Zrsquoδ + ωit + v (16)

In order to verify the impact of prudential measures on the degree of competition we

have included the measures Cerutti et al (2016) as determinants of mark-up in addition to

a measure of concentration represented by the HHI calculated from the total assets of the

banks

12

33 Market Power

To measure the degree of power of each bank we use the traditional measure defined by

Lerner (1934)

L =P minusMC

P (17)

if L = 0 P = MC and for any value L gt 0 P gt MC In the limit L = 1

The connection between the SFA model (equation 16) and the Lerner index is done

rearranging the equation 5 Omitting the error term (v) for simplification we can rewrite

equation 5 as

P middot YC

partlnY

partlnCminus 1 = u

partlnY

partlnCmiddot (18)

Considering that partlnYpartlnC

= (partYpartC

)(CY

) we have

P minusMC

MC=

u

EC

middot (19)

Equation 19 corresponds to an alternative definition of mark-up called θ where the

distance between price and marginal cost is expressed as a fraction of the latter In addition

since the function input distance is dual the cost function we can substitute EC for EY in

equation 19 and after estimating equation 16 and obtain estimates of the mark-up (u) the

estimation of market power can be obtained by replacing the values estimated in equation 19

as follow

θ equiv P minusMC

MC=

u

αY + αY Y lnY +sumJminus1

j=1 αjY ln xj + αY TT (20)

This estimate can be used to obtain the traditional measure of Lerner index as in

equation 16 employing the following formula

L =θ

1 + θ (21)

13

34 Returns to Scale

Finally we can use the estimates of equation 16 to obtain other characteristics of tech-

nology such as the return to scale and the scale bias Formally EC = partlnCpartlnY

= (partCpartY

)(YC) =

MCAC where AC represents the average cost This means that the return to scale is

inversely related to cost elasticity that is RTS = 1EC If EC = 1 we will have constant re-

turns to scale if EC lt 1 we will have increasing returns (economies of scale) and if (EC gt 1)

we will have decreasing returns (diseconomies of scale) Again using the duality condition

between IDF and the cost function we can use the estimates of equation 16 to calculate the

return to scale and scale bias Respectively

RTS =1

αY + αY Y lnY +sumJminus1

j=1 αjY ln xj + αY TT(22)

and

Scale Bias = αY T (23)

If the scale bias parameter (αY T ) is statistically significant and greater than zero this

suggests that technological change is reducing economies of scale over time

4 Database and empirical approach

The database used can be divided into two parts The first part includes the information

of all FI authorized to operate in Brazil by the Brazilian Central Bank (BCB) This infor-

mation is available on the BCBrsquos website through the IFdata system and contains detailed

information on the balance sheet income statement and credit portfolio of all IFs In ad-

dition data are available on an individual basis as well as on financial conglomerates and

prudential conglomerates1 For this work we use the concept of financial conglomerates In

1The BCB defines as a financial conglomerate the group of financial entities directly or unrelated byshareholding or by effective operational control characterized by standard management or by operatingin the market under the same brand or commercial name (Circular note no 1273 from Brazilian CentralBank) The concept of a prudential conglomerate in turn encompasses a broader universe of entities suchas consortium administrators payment institutions and companies that purchase credit operations (Officedocument no 1273 from Brazilian Central Bank)

14

December 2018 there was information on a total of 2753 IFs between commercial banks

or multiple banks with and without commercial portfolios credit cooperatives development

banks among others arranged quarterly since the first quarter of 2000

Our sample was restricted only to commercial banks or multiple banks with commercial

portfolios and savings banks Banks with loan portfolio equal zero and did not contain

information for at least three consecutive years were excluded In the same way we excluded

banks with observations that fell bellow 1st percentile of the sample for each one of variables

used in the model or above 99th percentile only for the dependent variable RC = TRC

Furthermore we chose to work with the data on a semi-annual basis (June and December

base dates) because inconsistencies we have found in some quarterly accounting data After

applying all these criteria our sample was restricted to a panel with only 83 banks between

the first half of 2000 and the second half of 2014 totaling 1818 observations2 In terms

of representativeness our sample with only 83 banks corresponded to 794 of the total

assets and 817 of the credit portfolio of the entire SFN in December 2014

The second database was obtained from Cerutti et al (2016) In this unprecedented

database the focus is on the change and intensity in the use of a set of prudential instruments

classified as micro-prudential and macro-prudential3 They collect the data for 64 countries

with a quarterly period covering the period between the first quarter of 2000 and the fourth

quarter of 2014 In the database in addition to a considerable number of countries the

information collected by the authors has the objective of mapping the intensity and the

change occurring quarterly in each of the prudential instruments

The original instruments of the database are the capital requirement capital buffer

interbank exposure limit concentration limit maximum loan amount commonly known as

Loan-to-value and reserve requirement

Concerning the capital requirement instrument we can understand it as an imposition

2Although the BCB has information until the second half of 2018 the database with prudential variablesavailable in the article by Cerutti et al (2016) goes only until the second half of 2014

3The database of Cerutti et al (2016) is a considerable advance to the available prudential data collectedso far in Lim et al (2011) and Cerutti et al (2017a) In both studies the focus is on only identifying whetheror not the country has implemented the appropriate prudential instrument

15

for a compulsory deposit with the BCB of demand deposits of financial institutions Capital

buffer serves as a buffer against countercyclical capital whose purpose is to protect the

banking sector in periods of excessive credit growth which is associated with increased

systemic risk On the other hand in periods of credit constraint the buffering capital may

decrease and thus not affecting the performance of the real side of the economy

The interbank exposure limit is a liability limiter maintained by the banking sector as a

whole or by a particular bank By the concentration limit we mean a procedure that limits

the fraction of assets concentrated to a limited number of borrowers

Loan-to-value is a restriction to the borrower or activity It is the imposition of maximum

amounts of loans on the value of collateral or even maximum amounts of indebtedness to the

income of the borrower Finally we can interpret a reserve requirement as an instrument

whose purpose is to limit the multiplication of money in the economy through the imposition

of compulsory deposits with the Central Bank

The prudential capital buffer instrument was broken down into the following categories

general capital requirement real estate credit consumer credit and others We decompose

the reserve requirement instrument into two sub-indices local domestic currency and foreign

currency

Information on intensity and change in prudential tooling is collected as follows by the

researchers If the financial regulator tightens the instrument in question in a specific quarter

the index assumes a value of +1 On the other hand if the same instrument undergoes

relaxation or loosening the value of minus1

Finally the index receives a value of zero if there was no change in the prudential

instrument in that quarter4 According to Cerutti et al (2016) in addition to capturing the

intensity of change in such a prudential policy this type of coding incorporates qualitative

characteristics of the policy that are lost by the type of dichotomous coding (1 if implemented

and 0 otherwise) Despite the simplicity of the coding used it is imperfectly able to measure

direction in policy change Not all the instruments available on the original basis were used

4For more details on how the base was built see Cerutti et al (2016)

16

because some measures were not implemented by the BCB Examples are the capital buffer

for real estate credit the concentration limit of banks to sectors or borrowers and the limit

on interbank exposure

Moreover due to the low variability in most measures and the semi-annual structure

of the database obtained in the BCB we chose to use the cumulative indexes of variation

According to Cerutti et al (2016) the purpose of this cumulative index is to capture the

level of tightness or looseness over a given period Finally to capture an overall measure of

prudential instruments we aggregate all variations of prudential instruments into a single

aggregate instrument called cumulative prudential Table A5 attached illustrates the

change and the intensity of the prudential instruments implemented by Brazil according to

the data collected by Cerutti et al (2016)

Our empirical strategy consists in estimating the equation 16 by Maximum Likelihood in

a two-stage procedure wherein the first stage we obtain the estimates of the parameters of

the equation and in the second stage we calculate the estimates of uit using the conditional

mean estimator of Jondrow et al (1982)

After obtaining the estimates of u and RC equiv EY we use equation 20 to calculate the

estimated values of θ which are used to calculat e the Lerner Index (L) according to

equation 21

We estimated six models wif different sets of deterministic variables (prudential measures)

to control the parameter of market power (uit) In the first model we did not add any

controls In the second we include only the HHI In the third specification we include the

capital buffer and capital requirement The fourth model uses only the loan-to-value In the

fifth model we include reserve requirements in both foreign and local currency and in the

last model we include the cumulative prudential measure which is the sum of the changes

in all other prudential measures

The inclusion of prudential variables in a separated way was necessary because they

represent only the tightening or the loosening of the prudential instrument Therefore they

do not represent the change in the magnitude of the prudential instrument As such the

variables have little variability and the high correlation generated between them causes

17

severe problems in the estimation process by maximum likelihood In general the tests with

the aggregate models did not reach the convergence of likelihood function even using different

strategies for initial values or optimization algorithm and when the optimization reaches an

optimal state the estimates were inconsistent For this reason we chose to estimate simpler

models including prudential variables separately or at most two when they represented

similar measures

Besides two critical events occurred in the second half of 2008 and significantly changed

the structure and dynamics of the banking industry in Brazil The outbreak of the subprime

crisis in the US and the acquisition of Unibanco by Itau in Brazil5 Itau-Unibanco has become

the largest bank in Brazil (Itau-Unibanco) accounting for 191 of total SFN assets and

184 of the total loan portfolio in the second half of 2008

We can observe the increase in market concentration in Figure 1 which represents HHI

concentration indices for total assets and total credit portfolio The increase in concentra-

tion levels of the banking industry on the other hand also coincides temporarily with the

outbreak of the GFC and an increase in rigidity in prudential instruments after the onset of

the crisis6

These events result in a high correlation between the variables and making it more

difficult to isolate the effects of each variable on the parameter of market power In this

way we also chose to estimate an HHI-only model as the control variable of market power

(uit)

Figure 1 Evolution of the Herfindahl Index (HHI) over time using credit and total assets

for the Brazilian banking system

We summarize the description of the variables that we will use in the estimation of

5Unibanco was the sixth largest Brazilian bank in the first half of 2008 accounting for 59 of total SFNassets and 6 of the total loan portfolio Also Itau was the third largest bank with 118 of SFN and119 of the loan portfolio

6Cubillas amp Suarez (2018) find the same result as the banksrsquo market power increased shortly after theGFC

18

equation 16 and how we calculate them in Table 1 All variables included in equation 16

except for trend prudential variables an HHI are in the logarithms form

Table 1 Variables used to IDF estimatation

5 Empirical Results

We present the results of the models in Table 2 Initially focusing on the interpretation

of the parameters of the input-distance function we verified that the size of the IF credit

portfolio (lnY ) has a negative sign but it was significant only for models 1 4 and 5 This

result implies that the larger the portfolio size the lower the revenue-cost ratio of the FI

Table 2 Results of IDF estimation

The coefficients of Staff costs (lnx1) and volume of funding (lnx2) were also negative

and significant in all models Thus the higher the staff costs and the higher the funding

volume the lower the cost-to-cost ratio of the FIs The trend variable as established by

equation 23 represents the scale bias and the negative sign would indicate that technological

change would increase economies of scale over time however no estimate was significant

51 Impact of Prudential Measures on Mark-up

The evaluation of the variables that determine the mark-up parameter (u) shows that

all of them are statistically significant and positive The SFA model is not linear in these

parameters Therefore the value of the coefficients does not represent the effect of the

magnitude of changes in the variables on the mark-up (their elasticities) However we can

estimate their marginal effects We present them for each variable in Figure 2

19

Figure 2 Marginal effects of HHI and prudential instruments (Capital Buffer Capital

RequirementLTV Reserve Requirement (Foreign) Reserve Requirement (domestic) and

cumulative prud) on themark-upucomponent

The positive sign of HHI in model 2 means that the more concentrated the banking

industry is the higher the market power of FIs This result is in line with that established by

the traditional structure-conduct-performance paradigm (Schmalensee 1989) However as

can be seen in Figure 1 the increase in the concentration index coincides with the tightening

of the prudential measures stemming from the GFC In this sense we can not say whether

this is the real effect of the increase in market concentration on the market power of FIs or

whether it is affected by the tightening of prudential measures

If we focus on prudential instruments the results for capital buffers and the capital

requirement (model 3) indicate that a tightening in these variables - whose purpose is to

increase banksrsquo capital reserve during positive shocks in the economy - has a detrimental

effect on competition market since they raise the IF mark-ups This effect happens because

this prudential measure influences the smoothing of the credit supply cycle

The same results are present for the loan-to-value variable (model 4) In general this

measure sets limits on the leverage of mortgages and other securities and a tightening in

ltv is effective in controlling possible booms in the real estate market by reducing real estate

prices and ultimately reducing the excess volatility of the economy ((Zhang amp Zoli 2016

Ely et al 2019) According to the result found the higher the limits the greater the market

power of the FIs

With respect to reserve requirements both in foreign and local currency - credit limits

directly in foreign currency and domestic currency respectively - the results (model 5) also

demonstrate a detrimental effect on competition since the tightening in such measures also

implies an increase mark-up of IFs In the model 6 where we introduce the aggregate

prudential measure the result found is similar to the others that is the higher the tightness

(in general) in the prudential measures of the financial system the higher the market power

of FIs

20

Unfortunately since prudential variables represent only a measure of tightening or loos-

ening of prudential policy and not its magnitude we can not accurately assess the impact

of these variables on the mark-up The marginal effects represented in Figure 2 give us only

an idea of how such variables affected the estimated mark-ups

However in general we can say that the positive signs of the estimates mean that the

higher the tightness in these prudential policies the greater the mark-up and consequently

the higher the market power of the FIs Therefore we find a perverse effect on industry

competition and probably a loss of borrowers welfare

Our results are in accordance with the evidence that the increase in prudential rigor has

negative impacts mainly on the supply of credit (Lim et al 2011 Claessens 2015 Aiyar

et al 2014 Gropp et al 2018 Cerutti et al 2017a) Ceteris paribus the increase of IF

mark-ups would be a fully expected effect As highlighted by Claessens amp Laeven (2004) any

policy that restricts the activity of banks and hinders their operation has negative impacts

on market competition

52 Estimation of Lerner indices

Regarding the mark-up estimation the values reported at the bottom of Table 2 corre-

spond to the distance between the observed revenue-cost ratio and its competitive boundary

that is the component u

To interpret the mark-up however we will focus the discussion on the estimates of

Lerner index (equation 21) because they have a more unambiguous economic meaning We

summarize the results of Lerner index for general estimates by type of control and for each

model in Table 3 and the Figure 3 shows their frequency distributions We should emphasize

that these estimates are individuals that is we obtain the estimates for each IF and at each

period t The tables in Annex (A6 to A11) summarizes the estimates of the Lerner index

and the returns to scale for each IF in the sample

Table 3 Estimates of Lerner index general and by type of control

21

Figure 3 Frequency distribution of Lerner indexes for each model and density estimation

Kernel by typeof control

For all six models all mark-up estimates were within the theoretical range of 0 and 1

with the minimum value being 0009 (model 2) and the maximum value 0362 (model 3) In

general the estimated average value was between 0051 (model 2) and 0058 (models 1 and

5) which means that on average Brazilian banks have a mark-up between 51 and 58

These values are slightly different when we separate the estimates by type of control

In the case of state-owned banks the average mark-up was between 0047 (model 2)

and 0057 (model 1) These values are lower in all the estimated models to the values

of (privates) national banks (0052-0057) and foreign banks (0050-0061) However the

medians of estimated values for state-owned banks were higher than the national and foreign

private banks in all models

For comparison purposes these values are considerably lower than the value (016) esti-

mated for Brazil in Coccorese (2014) We believe that this difference is due to the model and

sample used Coccorese (2014) has estimated the dual version of model (equation 5) and

as highlighted by Kumbhakar et al (2012) the use of accounting information to calculate

input prices can generate problems when they are endogenous

Regarding the sample Coccorese (2014) also used a different period from ours (1994 to

2012) and a more significant number of IFs in the sample (189 against 83 used by us) The

main difference here is in the number of IF - 106 in total In this respect it is essential to

note that these FIs constitute small FIs and in the second half of 2014 they held only 37

of total SFN assets and 24 of the total credit portfolio

We tried to replicated the Coccoresersquo sample but in preliminary tests we have found great

difficulties in the models estimations in particular at convergence of likelihood function

We observed these small IFs had in several situations extremely high values for the revenue-

cost ratio or excessively low for the inputs used (personnel expenses and funding) as well

as other problems such as launch errors (positive values in variables of expenditure for

example) and missings For these reasons and considering that such IFs represented only a

22

small fraction of Brazilian credit market we decided to exclude them from the sample

However It is worth highlight as they are small FIs the vast majority operate in particular

segments of the credit market and probably assume a more risk-taking behavior Considering

that they will work with a segment of credit claimants with rdquoworse scoresrdquo than borrowers

using large FIs we expect that the mark-up of these IFs will be higher We can observe

(part of) this phenomenon in Figure 4 where we represent the estimates of the Lerner index

(vertical axis) against market share of total assets (horizontal axis) of our sample and it is

quite evident the smaller banks have the higher mark-ups Therefore as our sample exclude

a large proportion of these small IFs it is natural that Coccorese (2014)rsquo results larger than

ours

Figure 4 Lerner indexes according to the size (market share) of banksrsquo assets

Regardless of this our results seem to adhere well to reality because if we look at Figure

5 we note that the Lerner indices show a significant increase from the second semester of

2008 These results are in agreement with the results of Cubillas amp Suarez (2018) Besides

in Figure 6 Lerner indexes are separated by type of control and we can observe that with

some exceptions the market power has always been lower for state-owned banks especially

considering the period after the GFC

Figure 5 Average Lerner indices for each model between 2000q2 and 2014q4

Figure 6 Average Lerner indices estimated for public private national and private

foreign banks between2000q2 and 2014q4

23

53 Estimation of Returns to Scale

Finally Table 4 and Figure 7 summarize the estimates of returns to scale We highlight

that the average of the returns to the scale of the Brazilian FIs is very close if we comparer

the six estimated models (between 0848 and 0851) Although the values are close to unity

in all IFs we reject the hypotheses of constant returns to the scale that is RTS = 1 therefore

IFs have diseconomies of scale

Table 4 Estimates of returns to scale by control type and general

When we separate estimates by type of control the estimates of state-owned banks

(0937-0944) are higher than national (0824-0829) and foreign banks (0841-0844) This

result means that the scale problem is a problem common to all FIs in Brazil Moreover

state-owned banks runs closer to the constant return region than national and foreign banks

Figure 7 Frequency distribution of the returns to scale indexes for each model and

density estimationKernel by type of control

6 Final Considerations

Considering that the banking industry underwent a significant restructuring in recent

years caused by several mergers and acquisitions in the sector as well as by a severe financial

crisis started in mid 2007 and potentialized in 2008 understand the behavior of market

power and as a (partial) set of prudential instruments influencing this dynamic has become

paramount Thus in an innovative way this paper proposed the use of stochastic frontier

analysis techniques to measure market power for the Brazilian banking industry and to test

if such prudential measures had an impact on the competitive dynamics of sector

The estimated average Lerner index was between 51 and 58 for Brazilian FIs How-

ever when controlled by the type of control we find that state-owned banks have slightly

24

lower estimates than national and foreign banks respectively Also estimates of returns to

scale allow us to infer that FIs operate with diseconomies of scale

Concerning the impact of prudential measures on the market power of FIs our results

generally suggest that tightening of prudential measures have a positive impact on bank

mark-up and consequently have detrimental effects on competition in industry banking

Finally in future research it will be possible to better understand the influence of some

prudential measures in the banking market through the study by type of segment or line of

credit

25

References

Aiyar S Calomiris C W amp Wieladek T (2014) Does macro-prudential regulation leak ev-

idence from a uk policy experiment Journal of Money Credit and Banking 46 181ndash214

URL httpsonlinelibrarywileycomdoiabs101111jmcb12086 doi101111jmcb12086

arXivhttpsonlinelibrarywileycomdoipdf101111jmcb12086

Altunbas Y Binici M amp Gambacorta L (2018) Macroprudential policy and bank risk Journal of

International Money and Finance 81 203ndash220 doihttpsdoiorg101016jjimonfin201711

012

Araujo L A D d amp Jorge Neto P d M (2007) Risco e competicao bancaria no Brasil Revista Brasileira

de Economia 61 175ndash200 URL httpwwwscielobrscielophpscript=sci_abstractamppid=

S0034-71402007000200003amplng=enampnrm=isoamptlng=pt doi101590S0034-71402007000200003

Auer R amp Ongena S (2019) The countercyclical capital buffer and the composition of bank lending

Available at SSRN 3345189

Ayyagari M Beck T amp Peria M (2018) The micro impact of macroprudential policies Firm-level

evidence IMF Working Paper

Barbosa K de Paula Rocha B amp Salazar F (2015) Assessing competition in the banking indus-

try A multi-product approach Journal of Banking amp Finance 50 340ndash362 URL httpwww

sciencedirectcomsciencearticlepiiS0378426614001642 doi101016jjbankfin201405

003

Belaisch A (2003) Do Brazilian Banks Compete SSRN Scholarly Paper ID 879189 Social Science Research

Network Rochester NY URL httpspapersssrncomabstract=879189

Bikker J A Shaffer S amp Spierdijk L K (2012) Assessing competition with the panzar-rosse model

The role of scale costs and equilibrium Economics Letters 94 1025ndash1044

Bresnahan T F (1982) The oligopoly solution concept is identified Economics Letters 10 87ndash92 URL

httpdxdoiorg1010160165-1765(82)90121-5 doi1010160165-1765(82)90121-5

Bresnahan T F amp Reiss P (1991) Entry and competition in concentrated markets Journal of Political

Economy 99 977ndash1009

Camors C amp Peydro J (2014) Macroprudential and monetary policy Loan-level evidence from reserve

requirement Mimeo Universitat Pompeu Fabra URL httpspdfssemanticscholarorgd508

61639bb4e7453a7a39184edf9b0c1e7016a6pdf

Cardoso M Azevedo P F amp Barbosa K (2016) Concorrencia no setor bancario brasileiro bancos

individuais versus conglomerados bancarios (pp 113ndash146) URL httprepositorioipeagovbr

handle110586650

Cerutti E Claessens S amp Laeven L (2017a) The use and effectiveness of macroprudential policies New

26

evidence Journal of Financial Stability 28 203ndash224 doihttpsdoiorg101016jjfs201510

004

Cerutti E Correa R Fiorentino E amp Segalla E (2016) Changes in prudential policy instruments ndash a

new cross-country database IMF Working Paper WP1610

Cerutti E Dagher J amp DellrsquoAriccia G (2017b) Housing finance and real-estate booms A cross-country

perspective Journal of Housing Economics 38 1ndash13

Claessens S (2015) An overview of macroprudential policy tools Annual Re-

view of Financial Economics 7 397ndash422 URL httpsdoiorg101146

annurev-financial-111914-041807 doi101146annurev-financial-111914-041807

arXivhttpsdoiorg101146annurev-financial-111914-041807

Claessens S Ghosh S R amp Mihet R (2013) Macro-prudential policies to mitigate financial system

vulnerabilities Journal of International Money and Finance 39 153ndash185 doihttpsdoiorg10

1016jjimonfin201306023

Claessens S amp Laeven L (2004) What drives bank competition some international evidence Journal

of Money Credit and Banking 36 563ndash583 URL httpwwwjstororgstable3838954

Coccorese P (2014) Estimating the Lerner index for the banking industry a stochastic frontier approach

Applied Financial Economics 24 73ndash88 URL httpdxdoiorg101080096031072013866202

doi101080096031072013866202

Coelho C A De Mello J M amp Rezende L (2013) Do Public Banks Compete with Private

Banks Evidence from Concentrated Local Markets in Brazil Journal of Money Credit and Bank-

ing 45 1581ndash1615 URL httponlinelibrarywileycomdoi101111jmcb12063abstract

doi101111jmcb12063

Cubillas E amp Suarez N (2018) Bank market power and lending during the global financial crisis Jour-

nal of International Money and Finance 89 1ndash22 URL httpwwwsciencedirectcomscience

articlepiiS0261560618303048 doihttpsdoiorg101016jjimonfin201808003

Das A amp Kumbhakar S C (2016) Markup and efficiency of Indian banks an input distance func-

tion approach Empirical Economics (pp 1ndash31) URL httplinkspringercomarticle101007

s00181-015-1062-4 doi101007s00181-015-1062-4

Ely R Tabak B amp Teixeira A (2019) Heterogeneous effects of the implementation of macroprudential

policies on bank risk MPRA Paper No94546

Freixas X Laeven L amp Peydro J-L (2015) Systemic Risk Crises and Macroprudential Regulation

Mit Press URL httpwwwjstororgstablejctt17kk82g

Galati G amp Moessner R (2013) Macroprudential policy ndash a literature review Jour-

nal of Economic Surveys 27 846ndash878 URL httpsonlinelibrarywileycom

27

doiabs101111j1467-6419201200729x doi101111j1467-6419201200729x

arXivhttpsonlinelibrarywileycomdoipdf101111j1467-6419201200729x

Gropp R Mosk T Ongena S amp Wix C (2018) Banks Response to Higher Cap-

ital Requirements Evidence from a Quasi-Natural Experiment The Review of Finan-

cial Studies 32 266ndash299 URL httpsdoiorg101093rfshhy052 doi101093rfshhy052

arXivhttpoupprodsislanrfsarticle-pdf32126627185080hhy052pdf

Hyde C E amp Perloff J M (1995) Can market power be estimated Review of Industrial Organization 10

465ndash485 URL httplinkspringercomarticle101007BF01024231 doi101007BF01024231

Igan D amp Kang H (2011) Do loan-to-value and debt-to-income limits work evidence from korea IMF

Working Papers (pp 1ndash34)

Jimenez G Ongena S Peydro J-L amp Saurina J (2017) Macroprudential policy countercyclical bank

capital buffers and credit supply Evidence from the spanish dynamic provisioning experiments Journal

of Political Economy 125 2126ndash2177 URL httpsdoiorg101086694289 doi101086694289

arXivhttpsdoiorg101086694289

Jondrow J Knox Lovell C A Materov I S amp Schmidt P (1982) On the estimation of technical

inefficiency in the stochastic frontier production function model Journal of Econometrics 19 233ndash

238 URL httpwwwsciencedirectcomsciencearticlepii0304407682900045 doi101016

0304-4076(82)90004-5

Klingelhoger J amp Sun R (2019) Macruprudential policy central banks and financial stability Evidence

from china Journal of International Money and Finance 93 19ndash41 URL httpsdoiorg101016

jjimonfin201812015

Kumbhakar S C (2012) Specification and estimation of primal production models European Journal

of Operational Research 217 509ndash518 URL httpwwwsciencedirectcomsciencearticlepii

S0377221711008939 doi101016jejor201109043

Kumbhakar S C Baardsen S amp Lien G (2012) A New Method for Estimating Market Power with

an Application to Norwegian Sawmilling Review of Industrial Organization 40 109ndash129 URL http

linkspringercomarticle101007s11151-012-9339-7 doi101007s11151-012-9339-7

Lerner A P (1934) The Concept of Monopoly and the Measurement of Monopoly Power The Review

of Economic Studies 1 157ndash175 URL httprestudoxfordjournalsorglookupdoi102307

2967480 doi1023072967480

Lim C H Costa A Columba F Kongsamut P Otani A Saiyid M Wezel T amp Wu X (2011)

Macroprudential policy what instruments and how to use them lessons from country experiences IMF

working papers (pp 1ndash85)

Lopez R A He X amp Azzam A (2018) Stochastic frontier estimation of market

28

power in the food industries Journal of Agricultural Economics 69 3ndash17 URL https

onlinelibrarywileycomdoiabs1011111477-955212219 doi1011111477-955212219

arXivhttpsonlinelibrarywileycomdoipdf1011111477-955212219

Lucinda C R (2010) Competition in the Brazilian loan market an empirical analysis Estudos Economicos

(Sao Paulo) 40 831ndash858 URL httpwwwscielobrscielophpscript=sci_abstractamppid=

S0101-41612010000400004amplng=enampnrm=isoamptlng=en doi101590S0101-41612010000400004

Moreno R (2011) Policymaking from arsquomacroprudentialrsquoperspective in emerging market economies

Nakane M I (2002) A test of competition in brazilian banking Estudos Economicos (Sao Paulo) 32

203ndash224 URL httpwwwrevistasuspbreearticleview117799

Panzar J C amp Rosse J N (1987) Testing for rdquomonopolyrdquo equilibrium The Journal of Industrial

Economics 35 443ndash456 URL httpwwwjstororgstable2098582 doi1023072098582

Richter B Schularick M amp Shim I (2019) The costs of macroprudential policy Journal of Inter-

national Economics 118 263 ndash 282 URL httpwwwsciencedirectcomsciencearticlepii

S0022199618302617 doihttpsdoiorg101016jjinteco201811011

Schmalensee R (1989) Chapter 16 inter-industry studies of structure and performance In Hand-

book of Industrial Organization (pp 951ndash1009) Elsevier BV URL httpdxdoiorg101016

s1573-448x(89)02004-2 doi101016s1573-448x(89)02004-2

Silva M S d () Avaliacao do processo de concentracao-competicao no setor bancario brasileiro URL

httpwwwbcbgovbrpecwpsporttd377pdf

Tabak B amp Gomes G (2015) The impact of market power at bank level in risk-taking The brazilian

case International Review of Financial Analysis 40 154ndash165

Tabak B M Fazio D M amp Cajueiro D O (2012) The relationship between banking market competition

and risk-taking Do size and capitalization matter 36 3366ndash3381 URL httpwwwsciencedirect

comsciencearticlepiiS0378426612002026 doi101016jjbankfin201207022

Wong T Fong T Li K-f amp Choi H (2011) Loan-to-value ratio as a macroprudential tool-hong kongrsquos

experience and cross-country evidence

Zhang L amp Zoli E (2016) Leaning against the wind Macroprudential policy in asia Journal of Asian

Economics 42 33ndash52

29

Figure 1 Evolution of the Herfindahl Index (HHI) over time using credit and total assets for theBrazilian banking system

30

Figure 2 Marginal effects of HHI and prudential instruments (Capital Buffer Capital RequirementLTV Reserve Requirement (Foreign) Reserve Requirement (domestic) and cumulative prud) on the

mark-up u component

31

Figure 3 Frequency distribution of Lerner indexes for each model and density estimation Kernel by typeof control

32

Figure 4 Lerner indexes according to the size (market share) of banksrsquo assets

33

Figure 5 Average Lerner indices for each model between 2000q2 and 2014q4

34

Figure 6 Average Lerner indices estimated for public private national and private foreign banks between2000q2 and 2014q4

35

Figure 7 Frequency distribution of the returns to scale indexes for each model and density estimationKernel by type of control

36

Table 1 Variables used to IDF estimatation

Variabel Description SourceBasic variables

TR Total Revenue = Gross Insterest Income (a) + Bank-ing Service Fee Income (d1) + Banking Fee Income(d2) + Other Operating Income (d7)

Inc statIFData

TC Total Cost = Interest Expenses (b) + Personnel Ex-penses (d3) + Administrative Expenses (d4) + TaxExpenses (d5) + Other Operating Expenses (d8)

Inc statIFData

Y Loan Lease and Other Credit Operations by RiskLevel

SummaryIFData

x1 Personnel Expenses (d3) Inc statIFDatax2 Funding (e) LiabilitiesIFDatax3 Equity (j) LiabilitiesIFData

Model variabelslnRC Log of Revenue-Cost ratiolnY Log of total loanlnx1 Log of personnel expenses and equity ratio (x1x3)lnx2 Log of funding and equity ratio (x2x3)T Time

Prudential variables - Deterministic mark-up parametersHHIt HHIt =

sumS2it where Sit

2 is market share of totalasset of bank i on time t

Inc statIFData

cb cumulative change of capital buffer Cerutti et al (2016)cr cumulative change of capital requirement Cerutti et al (2016)ltv cumulative change of loan-to-value Cerutti et al (2016)

rr foreign cumulative change of reserve requirement (foreigncurrency)

Cerutti et al (2016)

rr local cumulative change of reserve requirement (domesticcurrency)

Cerutti et al (2016)

37

Table 2 Results of IDF estimation

Parameters VariablesEstimates

Model Model Model Model Model Model(1) (2) (3) (4) (5) (6)

Parametros da funcao insumo distanciaαY Y lnY -0013 -0003 -0004 -0012 -0011 -0005

(000) (000) (000) (000) (000) (000)α1Y lnx1 -0096 -0095 -0094 -0094 -0096 -0090

(001) (001) (001) (001) (001) (001)α2Y lnx2 -0019 -0022 -0022 -0019 -0020 -0021

(001) (001) (001) (001) (001) (001)αY T T -0000 -0000 -0000 -0000 -0000 -0000

(000) (000) (000) (000) (000) (000)αY const 1153 1010 1035 1134 1129 1057

(005) (007) (005) (005) (005) (006)

Deterministic Mark-up parametersδ1 HHI 764157

(12270)δ1 Capital

Buffer7586(065)

δ2 CapitalReq

4696(160)

δ1 Loan-to-value38511(671)

δ1 ResR(foreign)10730(433)

δ2 ResR(local)2869(126)

δ1 Cum Prud3237(020)

δ0 const minus10601minus10194minus5306 minus9866 minus8577 minus4993(032) (2064) (316) (079) (119) (122)

Distribution of u and vσ2u 2840 1418 1620 2643 2441 1593σ2v 0118 0121 0120 0118 0118 0120λ 2402 1172 1354 2233 2065 1325Log Lik 887404 922033 918606 896019 891991 907817

EstimatesEstimates of Mark-up (u)Avg 0075 0065 0068 0074 0075 00691st quartile 0052 0038 0051 0051 0051 0044Median 0062 0048 0060 0060 0061 00543st quartile 0080 0074 0079 0079 0079 0075std-dev 0053 0054 0053 0053 0054 0054

Note p lt 010 p lt 005 and p lt 001

38

Table 3 Estimates of Lerner index general and by type of control

EstimatesModel Model Model Model Model Model

(1) (2) (3) (4) (5) (6)Mark-up (L) generalAverage 0058 0051 0053 0057 0058 0053std-dev 0032 0034 0034 0032 0032 00331st quartile 0043 0031 0034 0041 0042 0036Median 0051 0039 0044 0050 0050 00453st quartile 0063 0060 0059 0063 0063 0060Mark-up (L) State-owned banksAverage 0057 0047 0049 0056 0056 0050std-dev 0018 0017 0017 0018 0016 00161st quartile 0047 0035 0038 0045 0046 0040Median 0054 0041 0046 0053 0053 00463st quartile 0064 0056 0056 0064 0063 0057Mark-up (L) National banksAverage 0057 0052 0054 0057 0057 0054std-dev 0034 0038 0038 0035 0035 00371st quartile 0041 0030 0033 0040 0041 0035Median 0050 0038 0043 0048 0049 00443st quartile 0061 0061 0060 0061 0062 0060Mark-up (L) Foreign banksAverage 0061 0050 0053 0059 0060 0054std-dev 0034 0033 0032 0034 0034 00321st quartile 0042 0031 0034 0041 0042 0036Median 0052 0040 0044 0051 0051 00453st quartile 0068 0059 0060 0066 0066 0061

Table 4 Estimates of returns to scale by control type and general

ModelState-owned

banksNational

banksForeignbanks

General std-dev Min Max

1 0944 0824 0842 0848 0073 0665 11242 0940 0829 0843 0851 0066 0690 10733 0938 0827 0842 0849 0066 0689 10764 0941 0824 0842 0848 0071 0671 11115 0942 0824 0841 0848 0072 0669 11136 0937 0829 0844 0850 0065 0692 1073

39

Appendix A Attachment Tables

Table A5 Cumulative change on Prudential Measures intensity

TimeCapitalBuffer 2

(cb)

CapitalReq(cr)

Loan-to-Value(ltv)

Reserve Reqlocal curr

(RR local)

Reserve Reqforeign cur

(RR foreign)

CumulativePrudential 3

(Cum Prud)2000q2 -1 0 0 0 -2 -32000q4 -1 0 0 0 -2 -32001q2 -1 0 0 0 -2 -32001q4 0 0 0 0 -1 -12002q2 0 0 0 0 0 02002q4 2 0 0 0 2 42003q2 0 0 0 0 3 32003q4 0 0 0 0 2 22004q2 0 0 0 0 2 22004q4 0 0 0 0 2 22005q2 0 0 0 0 2 22005q4 0 0 0 0 2 22006q2 0 0 0 0 2 22006q4 0 0 0 0 2 22007q2 2 0 0 0 2 42007q4 2 0 0 0 2 42008q2 2 0 0 0 2 42008q4 2 0 0 0 1 32009q2 2 0 0 0 0 22009q4 2 0 0 0 -1 12010q2 2 0 0 0 1 32010q4 3 0 0 0 3 62011q2 3 0 0 1 3 72011q4 4 0 0 2 3 92012q2 3 1 0 2 3 92012q4 3 1 0 1 2 72013q2 3 2 0 0 2 72013q4 3 2 1 0 2 82014q2 3 2 1 0 2 82014q4 2 2 1 0 3 82Sum of capital buffer and others 3Aggregate measure (It is the sum of the change of all other instrument)

40

Table A6 Estimates of Lerner index and return to scale by bank - Model (1)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0042 0082 0009 0940 0007 -85Banrisul S 0055 0041 0084 0009 0952 0008 -635BEC S 0048 0021 0077 0016 0844 0009 -1756BRB S 0058 0033 0100 0015 0961 0003 -1533BB S 0058 0039 0098 0012 0990 0006 -173Caixa Economica Federal S 0063 0051 0174 0022 1052 0004 1458B da Amazonia SA S 0057 0016 0124 0023 0844 0008 -2028B do Estado Do Para SA S 0061 0026 0110 0022 0936 0004 -1764B do Est do Maranhao SA S 0055 0046 0065 0006 0935 0014 -455B do Est do Piauı SA - Bep S 0057 0030 0155 0029 0862 0004 -326B do Estado De Sergipe SA S 0061 0024 0135 0022 0947 0004 -1453Nossa Caixa - N Banco SA S 0057 0036 0090 0013 0981 0004 -444Bradesco N 0056 0038 0114 0015 0925 0004 -1945Itau N 0059 0031 0220 0033 0901 0003 -3797Safra N 0053 0037 0085 0009 0885 0003 -4215Unibanco N 0055 0037 0088 0014 0897 0001 -7054Mercantil Do Brasil N 0057 0027 0077 0011 0945 0002 -2527BBM N 0076 0016 0300 0065 0783 0005 -4464BMC N 0052 0030 0079 0012 0845 0003 -4703BMG N 0065 0017 0208 0045 0779 0003 -729JMalucelli N 0047 0022 0069 0013 0718 0003 -8765PEBB N 0065 0017 0181 0047 0698 0008 -3914SS N 0057 0034 0220 0037 0799 0007 -2839Sofisa N 0054 0021 0092 0020 0804 0002 -9903BIC N 0060 0034 0236 0040 0855 0005 -276Schahin N 0056 0028 0214 0035 0835 0006 -262Stock N 0081 0020 0267 0067 0817 0006 -3107Pine N 0052 0022 0108 0019 0808 0004 -545Socopa N 0056 0027 0120 0017 0886 0003 -3806Intercap N 0060 0023 0212 0037 0812 0007 -2851Indusval N 0062 0030 0246 0043 0857 0005 -3139Bonsucesso N 0052 0020 0092 0018 0779 0005 -4033Industrial do Brasil N 0051 0031 0081 0016 0807 0002 -952Votorantim N 0052 0037 0107 0017 0819 0009 -2117Cacique N 0053 0024 0071 0014 0774 0005 -4621Inter Amex N 0055 0037 0068 0010 0837 0008 -2158Alfa N 0048 0041 0059 0005 0806 0002 -11303Rendimento N 0053 0022 0080 0012 0872 0008 -1562Bancoob N 0052 0046 0056 0003 0856 0003 -5061Original N 0085 0017 0279 0090 0729 0007 -4163Banco Intermedium SA N 0052 0028 0070 0015 0743 0006 -3973

Table A6 ndash Continue on next page

41

Table A6 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0225 0049 0761 0003 -7509Banco BBN SA N 0053 0027 0077 0014 0817 0012 -1509B Cooperativo Sicredi SA N 0052 0043 0062 0005 0875 0005 -2477B Cooperativo do Brasil SA N 0056 0046 0142 0020 0910 0006 -1479Banco Topazio SA N 0060 0035 0110 0027 0834 0006 -2966Banco Gerador SA N 0069 0045 0122 0028 0852 0008 -1968Banco Randon SA N 0109 0023 0320 0109 0783 0005 -4158Parana Banco SA N 0050 0026 0108 0020 0784 0008 -2799Banco Triangulo SA N 0055 0028 0091 0020 0833 0004 -4201Banco Guanabara SA N 0052 0024 0169 0025 0777 0004 -5588Banco Cedula SA N 0068 0012 0339 0061 0731 0003 -10236Banco Cacique SA N 0077 0028 0248 0077 0785 0016 -1309B Luso Brasileiro SA N 0065 0027 0208 0043 0849 0004 -349Banco Pecunia SA N 0047 0039 0060 0006 0770 0003 -7086Banco Zogbi SA N 0051 0038 0067 0011 0778 0001 -15193Banco Daycoval SA N 0054 0023 0131 0026 0783 0004 -5522B John Deere SA N 0059 0018 0133 0033 0756 0003 -7955Banco AJ Renner SA N 0053 0025 0081 0015 0827 0006 -2742ABN Amro F 0056 0039 0079 0014 0914 0002 -427Chase F 0068 0014 0228 0049 0790 0008 -2678LLoyds F 0053 0027 0064 0012 0825 0003 -5159BankBoston F 0057 0040 0099 0020 0902 0006 -1638Santander Brasil F 0057 0034 0097 0017 0890 0008 -146Citibank F 0059 0026 0153 0028 0875 0003 -4039BNL F 0055 0041 0097 0019 0840 0006 -2767Sudameris F 0056 0048 0065 0005 0966 0012 -297Societe Generale F 0060 0024 0153 0031 0826 0006 -299Europeu F 0054 0032 0073 0013 0848 0007 -2287ABC-Brasil F 0052 0025 0082 0014 0815 0003 -6207Dresdner F 0083 0017 0280 0074 0815 0006 -3234AGF Braseg F 0051 0031 0100 0016 0794 0004 -4923HSBC F 0057 0046 0092 0010 0971 0006 -466Deutsche F 0068 0013 0160 0036 0857 0004 -3335BNP Paribas F 0050 0037 0068 0007 0824 0005 -3665Barclays F 0052 0024 0089 0021 0771 0008 -2787Rabobank Int Brasil SA F 0058 0022 0166 0028 0842 0003 -5284B Nat de Paris Br SA F 0063 0023 0109 0033 0811 0006 -3331Ibibank SA - Banco Multiplo F 0059 0012 0106 0024 0781 0015 -1441Dresdner Bank - B Multiplo F 0086 0016 0244 0068 0768 0008 -2746Banco Westlb Do Brasil SA F 0064 0034 0108 0027 0839 0010 -1626Banco GE Capital SA F 0067 0032 0247 0047 0852 0010 -1527B Com Uruguai SA F 0072 0020 0192 0049 0830 0003 -52281S - State-owned bank N - National bank and F - Foreign bank

42

Table A7 Estimates of Lerner index and return to scale by bank - Model (2)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0049 0032 0085 0016 0944 0008 -716Banrisul S 0049 0032 0106 0017 0939 0008 -75BEC S 0032 0016 0046 0008 0860 0009 -1489BRB S 0049 0030 0112 0017 0961 0002 -1681BB S 0049 0032 0091 0016 0948 0006 -845Caixa Economica Federal S 0052 0034 0081 0014 1012 0003 382B da Amazonia SA S 0053 0015 0140 0028 0847 0008 -1922B do Estado Do Para SA S 0046 0029 0063 0009 0952 0005 -963B do Est do Maranhao SA S 0036 0029 0045 0005 0963 0016 -235B do Est do Piauı SA - Bep S 0036 0023 0071 0011 0888 0005 -2314B do Estado De Sergipe SA S 0050 0020 0155 0024 0962 0004 -1043Nossa Caixa - N Banco SA S 0039 0027 0074 0011 0972 0005 -601Bradesco N 0050 0028 0116 0023 0890 0004 -2618Itau N 0052 0024 0222 0037 0869 0003 -4269Safra N 0046 0028 0100 0017 0867 0003 -5042Unibanco N 0035 0028 0054 0007 0873 0001 -8511Mercantil Do Brasil N 0051 0029 0093 0019 0941 0002 -2837BBM N 0063 0012 0213 0048 0790 0005 -4494BMC N 0034 0023 0049 0007 0851 0003 -4266BMG N 0065 0015 0233 0057 0776 0004 -6135JMalucelli N 0052 0018 0080 0016 0720 0003 -9566PEBB N 0037 0014 0108 0025 0732 0009 -3086SS N 0056 0024 0236 0046 0797 0007 -2849Sofisa N 0052 0018 0107 0028 0808 0002 -8115BIC N 0057 0026 0259 0050 0850 0006 -2531Schahin N 0047 0022 0225 0041 0845 0007 -2359Stock N 0078 0017 0287 0071 0843 0006 -2782Pine N 0048 0018 0114 0023 0811 0004 -4973Socopa N 0050 0022 0136 0024 0908 0003 -3089Intercap N 0051 0019 0133 0031 0832 0006 -2759Indusval N 0061 0023 0267 0052 0866 0006 -2437Bonsucesso N 0050 0017 0109 0026 0791 0006 -3655Industrial do Brasil N 0044 0024 0079 0015 0816 0002 -8095Votorantim N 0048 0025 0120 0026 0807 0007 -2721Cacique N 0033 0020 0039 0006 0782 0005 -4597Inter Amex N 0035 0025 0045 0007 0844 0006 -2419Alfa N 0042 0029 0069 0013 0801 0002 -12139Rendimento N 0049 0019 0077 0015 0889 0008 -1394Bancoob N 0065 0057 0073 0006 0855 0003 -4199Original N 0099 0019 0299 0096 0732 0006 -4473Banco Intermedium SA N 0062 0032 0081 0019 0754 0006 -4393

Table A7 ndash Continue on next page

43

Table A7 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0059 0016 0239 0051 0778 0003 -6944Banco BBN SA N 0035 0020 0053 0009 0834 0011 -1466B Cooperativo Sicredi SA N 0045 0032 0070 0011 0881 0005 -2581B Cooperativo do Brasil SA N 0045 0029 0147 0025 0922 0006 -1274Banco Topazio SA N 0076 0043 0138 0038 0861 0005 -2569Banco Gerador SA N 0089 0054 0153 0037 0874 0008 -1645Banco Randon SA N 0122 0029 0335 0113 0803 0005 -388Parana Banco SA N 0033 0020 0062 0011 0800 0009 -234Banco Triangulo SA N 0052 0022 0105 0027 0841 0004 -4148Banco Guanabara SA N 0046 0019 0091 0020 0793 0004 -5561Banco Cedula SA N 0062 0011 0359 0067 0749 0003 -9911Banco Cacique SA N 0049 0020 0157 0048 0791 0016 -1315Banco Luso Brasileiro SA N 0066 0022 0241 0055 0870 0005 -2851Banco Pecunia SA N 0032 0027 0036 0003 0787 0003 -6876Banco Zogbi SA N 0032 0026 0037 0005 0784 0002 -13006Banco Daycoval SA N 0053 0019 0139 0036 0784 0004 -6065Banco John Deere SA N 0035 0016 0073 0016 0761 0003 -8278Banco AJ Renner SA N 0047 0021 0083 0015 0844 0006 -2553ABN Amro F 0035 0027 0047 0006 0889 0002 -7231Chase F 0054 0013 0157 0033 0804 0007 -2702LLoyds F 0033 0020 0043 0008 0821 0003 -5429BankBoston F 0036 0026 0060 0011 0888 0006 -1917Santander Brasil F 0055 0025 0115 0030 0864 0008 -1647Citibank F 0051 0020 0132 0025 0860 0003 -4735BNL F 0036 0026 0062 0012 0843 0005 -2959Sudameris F 0036 0031 0040 0004 0949 0011 -468Societe Generale F 0051 0018 0104 0024 0835 0007 -2454Europeu F 0034 0025 0041 0006 0859 0007 -2076ABC-Brasil F 0043 0026 0086 0015 0813 0003 -5797Dresdner F 0050 0014 0190 0046 0824 0004 -3975AGF Braseg F 0044 0024 0068 0014 0810 0005 -4109HSBC F 0052 0031 0110 0021 0948 0007 -776Deutsche F 0054 0012 0166 0030 0866 0005 -2754BNP Paribas F 0049 0028 0073 0013 0818 0004 -4092Barclays F 0065 0028 0121 0027 0811 0005 -4028Rabobank Int Brasil SA F 0047 0017 0102 0017 0845 0003 -4605B Nat de Paris Brasil SA F 0036 0017 0054 0013 0819 0005 -3304Ibibank SA - Banco Multiplo F 0043 0010 0114 0025 0782 0013 -1623Dresdner Bank - B Multiplo F 0096 0015 0270 0076 0785 0007 -2924Banco Westlb Do Brasil SA F 0041 0026 0062 0013 0853 0010 -154Banco GE Capital SA F 0054 0026 0253 0049 0862 0010 -1444B Com Uruguai SA F 0070 0017 0220 0058 0849 0003 -4471S - State-owned bank N - National bank and F - Foreign bank

44

Table A8 Estimates of Lerner index and return to scale by bank - Model (3)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0034 0090 0016 0941 0008 -772Banrisul S 0051 0032 0108 0016 0938 0008 -772BEC S 0035 0018 0051 0009 0856 0009 -1562BRB S 0052 0032 0122 0018 0958 0002 -1793BB S 0052 0035 0085 0015 0951 0006 -809Caixa Economica Federal S 0054 0039 0098 0014 1015 0003 465B da Amazonia SA S 0053 0014 0113 0024 0845 0008 -1977B do Estado Do Para SA S 0049 0028 0071 0010 0947 0005 -1117B do E do Maranhao SA S 0041 0032 0059 0008 0957 0015 -285B do E do Piauı SA - Bep S 0041 0028 0086 0014 0882 0005 -2518B do Estado De Sergipe SA S 0052 0021 0145 0022 0957 0004 -1182Nossa Caixa - N Banco SA S 0045 0029 0081 0015 0971 0005 -651Bradesco N 0052 0029 0101 0021 0893 0004 -2614Itau N 0054 0025 0203 0034 0872 0003 -4328Safra N 0048 0029 0093 0015 0869 0003 -5008Unibanco N 0041 0028 0067 0010 0874 0001 -8514Mercantil Do Brasil N 0053 0026 0095 0018 0939 0002 -29BBM N 0067 0013 0250 0056 0789 0005 -4501BMC N 0038 0024 0069 0010 0849 0003 -4408BMG N 0067 0015 0233 0058 0776 0004 -6374JMalucelli N 0052 0022 0087 0016 0720 0003 -9426PEBB N 0045 0014 0158 0040 0727 0009 -3192SS N 0057 0025 0231 0046 0797 0007 -287Sofisa N 0053 0018 0116 0026 0807 0002 -8444BIC N 0059 0030 0250 0049 0850 0006 -2596Schahin N 0048 0023 0220 0038 0842 0007 -2424Stock N 0083 0017 0304 0077 0838 0006 -2873Pine N 0049 0019 0105 0020 0810 0004 -5103Socopa N 0050 0026 0111 0018 0903 0003 -3253Intercap N 0055 0020 0196 0036 0828 0006 -283Indusval N 0062 0029 0282 0052 0863 0005 -2588Bonsucesso N 0051 0017 0118 0025 0789 0006 -3771Industrial do Brasil N 0046 0025 0086 0015 0815 0002 -8341Votorantim N 0050 0027 0128 0027 0809 0007 -2664Cacique N 0037 0020 0048 0009 0781 0005 -4645Inter Amex N 0039 0026 0058 0009 0842 0006 -2468Alfa N 0044 0031 0072 0011 0801 0002 -11998Rendimento N 0049 0022 0078 0011 0885 0008 -1463Bancoob N 0066 0057 0077 0007 0854 0003 -4342Original N 0102 0019 0301 0096 0730 0006 -4526Banco Intermedium SA N 0059 0027 0083 0020 0752 0006 -4354

Table A8 ndash Continue on next page

45

Table A8 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0017 0217 0054 0776 0003 -7084Banco BBN SA N 0038 0022 0058 0010 0831 0011 -1492B Cooperativo Sicredi SA N 0047 0035 0071 0010 0879 0005 -259B Cooperativo do Brasil SA N 0046 0035 0128 0020 0919 0006 -1339Banco Topazio SA N 0075 0036 0153 0041 0855 0005 -2657Banco Gerador SA N 0091 0057 0144 0034 0869 0008 -173Banco Randon SA N 0124 0029 0332 0112 0799 0005 -4023Parana Banco SA N 0036 0021 0071 0012 0797 0008 -2452Banco Triangulo SA N 0053 0023 0115 0027 0839 0004 -4256Banco Guanabara SA N 0047 0020 0100 0019 0790 0004 -561Banco Cedula SA N 0066 0012 0362 0068 0747 0003 -10082Banco Cacique SA N 0063 0026 0231 0074 0789 0016 -1336Banco Luso Brasileiro SA N 0066 0026 0249 0053 0865 0005 -2985Banco Pecunia SA N 0034 0029 0041 0004 0784 0003 -7038Banco Zogbi SA N 0036 0027 0046 0006 0782 0002 -13399Banco Daycoval SA N 0054 0019 0131 0034 0784 0004 -607Banco John Deere SA N 0039 0015 0083 0018 0761 0003 -8316Banco AJ Renner SA N 0049 0024 0073 0013 0840 0006 -2621ABN Amro F 0041 0030 0066 0009 0890 0002 -6866Chase F 0059 0013 0173 0039 0801 0007 -2733LLoyds F 0038 0021 0055 0010 0821 0003 -5484BankBoston F 0040 0028 0063 0012 0888 0006 -1931Santander Brasil F 0056 0028 0107 0027 0866 0008 -1663Citibank F 0052 0022 0123 0023 0860 0003 -4735BNL F 0039 0028 0063 0014 0841 0005 -2966Sudameris F 0041 0036 0052 0006 0948 0011 -473Societe Generale F 0052 0020 0103 0022 0833 0006 -2579Europeu F 0038 0030 0049 0007 0856 0007 -2153ABC-Brasil F 0046 0029 0079 0014 0813 0003 -5935Dresdner F 0055 0014 0212 0052 0822 0005 -3913AGF Braseg F 0046 0027 0071 0014 0806 0005 -4276HSBC F 0053 0032 0101 0019 0949 0007 -784Deutsche F 0058 0013 0141 0029 0863 0005 -2878BNP Paribas F 0051 0030 0074 0012 0818 0004 -4118Barclays F 0066 0025 0130 0030 0805 0005 -4123Rabobank Int Brasil SA F 0049 0019 0109 0018 0844 0003 -4752B Nat de Paris Brasil SA F 0041 0019 0069 0018 0817 0005 -3368Ibibank SA - Banco Multiplo F 0046 0010 0095 0021 0781 0014 -1617Dresdner Bank - B Multiplo F 0093 0017 0282 0072 0782 0008 -2899Banco Westlb Do Brasil SA F 0044 0027 0069 0015 0850 0009 -1591Banco GE Capital SA F 0055 0026 0249 0046 0859 0009 -1489B Com Uruguai SA F 0071 0017 0228 0056 0845 0003 -46241S - State-owned bank N - National bank and F - Foreign bank

46

Table A9 Estimates of Lerner index and return to scale by bank - Model (4)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0054 0041 0078 0011 0939 0007 -873Banrisul S 0055 0040 0106 0014 0948 0008 -692BEC S 0046 0020 0072 0014 0846 0009 -1746BRB S 0057 0032 0094 0016 0959 0002 -1673BB S 0057 0038 0095 0014 0981 0006 -33Caixa Economica Federal S 0061 0049 0165 0021 1042 0003 1249B da Amazonia SA S 0056 0015 0117 0022 0844 0008 -2047B do Estado Do Para SA S 0059 0025 0103 0020 0936 0004 -1701B do E Do Maranhao SA S 0052 0044 0062 0005 0936 0014 -448B do E Do Piauı SA - Bep S 0054 0029 0147 0028 0865 0004 -3201B do Estado De Sergipe SA S 0061 0023 0168 0026 0947 0004 -1484Nossa Caixa - N Banco SA S 0054 0035 0085 0012 0977 0004 -547Bradesco N 0056 0036 0107 0017 0919 0004 -2123Itau N 0058 0030 0212 0032 0896 0003 -3979Safra N 0052 0035 0107 0013 0882 0003 -445Unibanco N 0052 0035 0082 0013 0892 0001 -7446Mercantil Do Brasil N 0057 0027 0093 0015 0942 0002 -2687BBM N 0075 0015 0294 0064 0784 0005 -4512BMC N 0050 0029 0074 0011 0846 0003 -472BMG N 0065 0016 0202 0047 0779 0003 -7192JMalucelli N 0048 0022 0071 0014 0720 0003 -8923PEBB N 0061 0016 0172 0044 0704 0008 -382SS N 0056 0033 0213 0037 0799 0007 -2875Sofisa N 0053 0020 0087 0019 0805 0002 -9731BIC N 0061 0033 0269 0048 0854 0005 -2768Schahin N 0053 0027 0205 0034 0836 0006 -2627Stock N 0081 0020 0265 0068 0820 0006 -3122Pine N 0052 0022 0118 0021 0808 0004 -5467Socopa N 0054 0026 0114 0016 0888 0003 -3785Intercap N 0057 0023 0203 0035 0815 0006 -2877Indusval N 0062 0029 0239 0043 0857 0005 -3085Bonsucesso N 0052 0019 0088 0018 0782 0005 -403Industrial do Brasil N 0050 0030 0076 0015 0809 0002 -9427Votorantim N 0051 0036 0102 0017 0817 0008 -2222Cacique N 0050 0023 0067 0013 0776 0005 -4659Inter Amex N 0052 0035 0064 0009 0837 0007 -2226Alfa N 0048 0039 0071 0007 0805 0002 -11484Rendimento N 0052 0022 0076 0013 0874 0008 -1571Bancoob N 0057 0045 0071 0011 0855 0003 -5022Original N 0094 0017 0278 0090 0730 0006 -4242Banco Intermedium SA N 0049 0027 0065 0014 0746 0006 -4054

Table A9 ndash Continue on next page

47

Table A9 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0019 0220 0050 0764 0003 -7516Banco BBN SA N 0050 0027 0072 0013 0819 0012 -1529B Cooperativo Sicredi SA N 0051 0041 0068 0006 0875 0005 -2551B Cooperativo do Brasil SA N 0053 0044 0134 0018 0910 0006 -151Banco Topazio SA N 0066 0035 0128 0036 0837 0005 -2981Banco Gerador SA N 0082 0045 0157 0043 0854 0007 -1967Banco Randon SA N 0106 0026 0312 0105 0786 0005 -4204Parana Banco SA N 0048 0025 0102 0018 0787 0008 -2768Banco Triangulo SA N 0054 0027 0088 0021 0834 0004 -427Banco Guanabara SA N 0051 0023 0161 0025 0780 0004 -5659Banco Cedula SA N 0069 0012 0360 0065 0735 0003 -1028Banco Cacique SA N 0073 0027 0240 0075 0786 0016 -1327Banco Luso Brasileiro SA N 0065 0026 0242 0047 0852 0004 -346Banco Pecunia SA N 0045 0037 0056 0006 0773 0003 -7139Banco Zogbi SA N 0048 0036 0064 0010 0779 0001 -15057Banco Daycoval SA N 0055 0022 0126 0030 0784 0004 -568Banco John Deere SA N 0056 0018 0125 0031 0757 0003 -8084Banco AJ Renner SA N 0051 0025 0077 0013 0829 0006 -2763ABN Amro F 0053 0038 0074 0013 0909 0002 -4803Chase F 0066 0014 0220 0046 0793 0008 -2711LLoyds F 0050 0026 0060 0011 0825 0003 -5323BankBoston F 0054 0038 0092 0018 0899 0006 -1734Santander Brasil F 0056 0033 0098 0019 0885 0007 -1529Citibank F 0059 0025 0145 0030 0872 0003 -421BNL F 0052 0039 0091 0018 0840 0006 -2854Sudameris F 0053 0046 0062 0005 0961 0011 -352Societe Generale F 0058 0023 0144 0028 0827 0006 -2968Europeu F 0052 0031 0069 0012 0849 0007 -23ABC-Brasil F 0051 0028 0091 0015 0815 0003 -6225Dresdner F 0078 0017 0271 0071 0816 0005 -339AGF Braseg F 0050 0030 0094 0015 0797 0004 -4873HSBC F 0057 0045 0116 0016 0966 0006 -562Deutsche F 0066 0013 0151 0034 0858 0004 -3316BNP Paribas F 0050 0036 0071 0010 0823 0005 -3772Barclays F 0057 0024 0102 0025 0777 0007 -3003Rabobank Int Brasil SA F 0057 0021 0157 0026 0842 0003 -5266B Nat de Paris Brasil SA F 0059 0023 0102 0030 0812 0006 -3387Ibibank SA - Banco Multiplo F 0056 0012 0100 0023 0781 0015 -148Dresdner Bank - B Multiplo F 0084 0016 0237 0064 0771 0008 -2798Banco Westlb Do Brasil SA F 0061 0033 0101 0025 0841 0010 -1646Banco GE Capital SA F 0063 0031 0238 0044 0853 0010 -1548B Com Uruguai SA F 0074 0020 0226 0056 0833 0003 -51921S - State-owned bank N - National bank and F - Foreign bank

48

Table A10 Estimates of Lerner index and return to scale by bank - Model (5)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0043 0093 0012 0940 0007 -834Banrisul S 0054 0041 0083 0009 0949 0008 -668BEC S 0046 0020 0075 0014 0846 0009 -1719BRB S 0058 0032 0121 0017 0960 0002 -1607BB S 0056 0037 0087 0010 0981 0006 -321Caixa Economica Federal S 0061 0050 0156 0019 1044 0003 1282B da Amazonia SA S 0057 0016 0115 0023 0843 0008 -2023B do Estado Do Para SA S 0059 0027 0102 0020 0938 0004 -1608B do E Do Maranhao SA S 0052 0042 0064 0006 0939 0015 -418B do E Do Piauı SA - Bep S 0054 0029 0138 0025 0866 0004 -3097B do Estado De Sergipe SA S 0059 0024 0136 0020 0949 0004 -1404Nossa Caixa - N Banco SA S 0055 0036 0088 0013 0979 0004 -494Bradesco N 0056 0037 0108 0016 0918 0004 -2108Itau N 0058 0031 0213 0033 0894 0003 -3968Safra N 0052 0036 0086 0010 0881 0003 -4388Unibanco N 0053 0037 0085 0013 0892 0001 -7433Mercantil Do Brasil N 0057 0027 0086 0012 0943 0002 -2619BBM N 0075 0015 0292 0063 0784 0005 -447BMC N 0050 0029 0077 0012 0846 0003 -4648BMG N 0067 0017 0220 0051 0777 0003 -7116JMalucelli N 0049 0022 0083 0016 0718 0003 -8879PEBB N 0060 0017 0176 0044 0704 0008 -3743SS N 0059 0032 0223 0041 0798 0007 -2847Sofisa N 0055 0021 0112 0022 0804 0002 -9624BIC N 0060 0032 0238 0041 0853 0005 -2725Schahin N 0055 0028 0228 0038 0836 0006 -2575Stock N 0082 0019 0267 0068 0821 0006 -3063Pine N 0052 0022 0096 0018 0808 0004 -5392Socopa N 0055 0027 0113 0016 0889 0003 -3694Intercap N 0060 0023 0210 0037 0814 0006 -2856Indusval N 0062 0029 0245 0044 0857 0005 -3023Bonsucesso N 0053 0020 0113 0022 0781 0005 -3999Industrial do Brasil N 0051 0030 0084 0016 0808 0002 -9274Votorantim N 0052 0037 0130 0022 0816 0008 -2227Cacique N 0049 0024 0065 0012 0775 0005 -4632Inter Amex N 0052 0034 0067 0011 0837 0007 -2236Alfa N 0047 0041 0056 0004 0804 0002 -11448Rendimento N 0053 0022 0079 0011 0874 0008 -1549Bancoob N 0056 0050 0064 0005 0856 0003 -4874Original N 0087 0018 0288 0093 0728 0006 -4259Banco Intermedium SA N 0055 0027 0078 0019 0744 0006 -4047

Table A10 ndash Continue on next page

49

Table A10 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0217 0048 0763 0003 -7417Banco BBN SA N 0051 0026 0075 0014 0820 0012 -1504B Cooperativo Sicredi SA N 0051 0040 0061 0005 0876 0005 -2499B Cooperativo do Brasil SA N 0054 0043 0136 0019 0912 0006 -1445Banco Topazio SA N 0061 0034 0109 0026 0838 0006 -2897Banco Gerador SA N 0073 0052 0124 0026 0855 0008 -1918Banco Randon SA N 0120 0024 0327 0114 0785 0005 -4153Parana Banco SA N 0048 0026 0106 0020 0786 0008 -2732Banco Triangulo SA N 0055 0027 0111 0022 0834 0004 -4227Banco Guanabara SA N 0052 0024 0153 0024 0779 0004 -5589Banco Cedula SA N 0069 0012 0339 0062 0734 0003 -10232Banco Cacique SA N 0076 0027 0246 0076 0785 0016 -1317Banco Luso Brasileiro SA N 0067 0027 0207 0047 0852 0004 -3379Banco Pecunia SA N 0046 0038 0054 0006 0773 0003 -71Banco Zogbi SA N 0047 0037 0061 0010 0778 0001 -14931Banco Daycoval SA N 0054 0022 0126 0026 0782 0004 -5661Banco John Deere SA N 0056 0018 0129 0031 0756 0003 -8043Banco AJ Renner SA N 0053 0025 0080 0015 0829 0006 -2716ABN Amro F 0053 0038 0074 0012 0908 0002 -4751Chase F 0067 0014 0225 0047 0792 0008 -2693LLoyds F 0049 0025 0064 0012 0824 0003 -5227BankBoston F 0054 0037 0096 0020 0899 0006 -1701Santander Brasil F 0057 0033 0103 0019 0884 0008 -1511Citibank F 0059 0026 0154 0028 0871 0003 -4204BNL F 0052 0037 0097 0020 0840 0006 -28Sudameris F 0052 0045 0058 0005 0962 0011 -334Societe Generale F 0060 0023 0151 0031 0827 0006 -2924Europeu F 0050 0032 0066 0012 0849 0007 -2263ABC-Brasil F 0051 0025 0079 0014 0814 0003 -617Dresdner F 0080 0017 0276 0073 0816 0005 -3374AGF Braseg F 0050 0031 0093 0015 0796 0004 -4812HSBC F 0057 0043 0093 0011 0966 0006 -541Deutsche F 0066 0013 0155 0035 0858 0004 -3244BNP Paribas F 0050 0035 0067 0008 0822 0005 -3775Barclays F 0056 0024 0113 0025 0778 0007 -305Rabobank Int Brasil SA F 0057 0021 0163 0027 0842 0003 -5208B Nat de Paris Brasil SA F 0058 0022 0100 0029 0812 0006 -3343Ibibank SA - Banco Multiplo F 0057 0012 0099 0023 0780 0015 -1478Dresdner Bank - B Multiplo F 0087 0016 0244 0068 0770 0008 -2768Banco Westlb Do Brasil SA F 0063 0034 0106 0026 0841 0010 -1625Banco GE Capital SA F 0064 0032 0247 0046 0853 0010 -1522B Com Uruguai SA F 0073 0019 0191 0049 0833 0003 -50981S - State-owned bank N - National bank and F - Foreign bank

50

Table A11 Estimates of Lerner index and return to scale by bank - Model (6)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0036 0096 0015 0939 0007 -855Banrisul S 0050 0035 0098 0014 0938 0008 -82BEC S 0041 0019 0067 0012 0855 0009 -1644BRB S 0053 0029 0124 0018 0956 0002 -1996BB S 0051 0032 0088 0013 0954 0006 -807Caixa Economica Federal S 0054 0040 0094 0012 1014 0003 475B da Amazonia SA S 0053 0015 0103 0022 0846 0008 -205B do Estado Do Para SA S 0051 0028 0074 0013 0943 0004 -1319B do E Do Maranhao SA S 0041 0031 0059 0008 0950 0014 -346B do E Do Piauı SA - Bep S 0042 0028 0084 0012 0879 0004 -2727B do Estado De Sergipe SA S 0052 0022 0153 0022 0953 0003 -1377Nossa Caixa - N Banco SA S 0047 0032 0081 0014 0969 0004 -74Bradesco N 0052 0032 0097 0019 0898 0004 -2645Itau N 0054 0027 0190 0031 0877 0003 -4452Safra N 0049 0032 0100 0015 0872 0003 -5056Unibanco N 0043 0032 0067 0010 0878 0001 -8666Mercantil Do Brasil N 0053 0026 0087 0017 0938 0002 -3104BBM N 0066 0013 0251 0056 0792 0005 -4556BMC N 0041 0026 0069 0011 0850 0003 -4582BMG N 0067 0016 0228 0057 0781 0003 -6611JMalucelli N 0051 0022 0089 0017 0725 0003 -9344PEBB N 0046 0015 0157 0039 0728 0008 -3313SS N 0058 0025 0230 0046 0801 0007 -292Sofisa N 0053 0020 0119 0025 0809 0002 -8846BIC N 0060 0029 0262 0049 0852 0005 -2697Schahin N 0049 0025 0229 0040 0843 0006 -2523Stock N 0081 0017 0284 0072 0836 0005 -2986Pine N 0049 0021 0112 0019 0812 0004 -5267Socopa N 0050 0026 0095 0015 0900 0003 -3515Intercap N 0055 0021 0196 0035 0828 0006 -2899Indusval N 0061 0029 0262 0049 0863 0005 -2762Bonsucesso N 0052 0019 0123 0026 0791 0005 -3885Industrial do Brasil N 0046 0027 0088 0015 0816 0002 -8698Votorantim N 0051 0027 0139 0027 0813 0007 -262Cacique N 0039 0022 0050 0009 0784 0005 -4707Inter Amex N 0045 0027 0064 0012 0843 0006 -2493Alfa N 0044 0033 0068 0009 0805 0002 -12111Rendimento N 0050 0022 0073 0010 0883 0008 -1543Bancoob N 0066 0055 0072 0007 0856 0003 -4559Original N 0098 0020 0294 0094 0735 0006 -4509Banco Intermedium SA N 0057 0024 0085 0022 0756 0006 -4324

Table A11 ndash Continue on next page

51

Table A11 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0061 0017 0195 0048 0777 0003 -7233Banco BBN SA N 0042 0023 0059 0012 0831 0011 -1529B Cooperativo Sicredi SA N 0048 0035 0066 0009 0879 0005 -2672B Cooperativo do Brasil SA N 0046 0034 0119 0017 0917 0006 -1439Banco Topazio SA N 0070 0031 0129 0036 0853 0005 -2776Banco Gerador SA N 0086 0057 0148 0034 0867 0007 -1825Banco Randon SA N 0126 0028 0331 0114 0799 0005 -4136Parana Banco SA N 0039 0023 0082 0015 0798 0008 -2556Banco Triangulo SA N 0052 0025 0116 0025 0840 0004 -4363Banco Guanabara SA N 0048 0021 0100 0019 0792 0004 -5683Banco Cedula SA N 0067 0013 0356 0067 0749 0002 -10205Banco Cacique SA N 0067 0026 0232 0073 0792 0015 -1356Banco Luso Brasileiro SA N 0065 0025 0237 0052 0864 0004 -3163Banco Pecunia SA N 0037 0029 0045 0006 0786 0003 -7158Banco Zogbi SA N 0037 0027 0045 0007 0785 0002 -13921Banco Daycoval SA N 0053 0020 0120 0031 0787 0003 -6088Banco John Deere SA N 0043 0017 0099 0022 0764 0003 -8346Banco AJ Renner SA N 0050 0025 0080 0013 0840 0006 -2706ABN Amro F 0043 0035 0067 0008 0894 0002 -6685Chase F 0059 0014 0189 0040 0803 0007 -2772LLoyds F 0039 0021 0055 0012 0824 0003 -5536BankBoston F 0044 0029 0075 0015 0890 0006 -1965Santander Brasil F 0054 0028 0107 0024 0871 0008 -1694Citibank F 0054 0023 0133 0026 0863 0003 -4787BNL F 0042 0028 0078 0018 0843 0005 -2998Sudameris F 0041 0036 0052 0006 0948 0010 -491Societe Generale F 0054 0020 0118 0025 0834 0006 -2716Europeu F 0038 0029 0049 0008 0856 0006 -2239ABC-Brasil F 0046 0028 0084 0014 0816 0003 -6111Dresdner F 0063 0015 0239 0061 0823 0005 -3888AGF Braseg F 0047 0027 0074 0014 0807 0004 -4477HSBC F 0054 0032 0109 0018 0950 0006 -823Deutsche F 0058 0013 0122 0028 0863 0004 -305BNP Paribas F 0051 0032 0070 0011 0822 0004 -4145Barclays F 0064 0024 0128 0029 0802 0005 -4051Rabobank Int Brasil SA F 0051 0019 0130 0021 0846 0003 -4992B Nat de Paris Brasil SA F 0043 0019 0070 0019 0819 0005 -3429Ibibank SA - Banco Multiplo F 0049 0010 0083 0020 0785 0013 -161Dresdner Bank - B Multiplo F 0087 0016 0261 0066 0783 0007 -2901Banco Westlb Do Brasil SA F 0051 0030 0082 0019 0850 0009 -1643Banco GE Capital SA F 0053 0028 0239 0044 0859 0009 -1544B Com Uruguai SA F 0071 0017 0217 0054 0845 0003 -48451S - State-owned bank N - National bank and F - Foreign bank

52

Seacuterie de Textos para Discussatildeo do Curso de Ciecircncias Econocircmicas ndash FACEUFG ndash TD [078]

EDITORIAL FACE ndash Faculdade de Administraccedilatildeo Ciecircncias Contaacutebeis e Ciecircncias Econocircmicas Curso de Ciecircncias Econocircmicas Direccedilatildeo FACE Prof Moiseacutes Ferreira da Cunha Vice-Direccedilatildeo FACE Profordf Andreacutea Freire de Lucena Coordenaccedilatildeo do Curso de Ciecircncias Econocircmicas Prof Tiago Camarinha Lopes NEPEC ndash Nuacutecleo de Estudos e Pesquisas Econocircmicas Coordenaccedilatildeo Prof Seacutergio Fornazier Meyrelles Filho SEacuteRIE DE TEXTOS PARA DISCUSSAtildeO DO CURSO DE CIEcircNCIAS ECONOcircMICAS DA UFG Coordenaccedilatildeo e Equipe de Editoraccedilatildeo Prof Sandro Eduardo Monsueto Adriana Moura Guimaratildees Matheus Henrique de Arauacutejo Dutra

Endereccedilo Campus Samambaia Preacutedio da FACE ndash Rodovia GoiacircniaNova Veneza km 0 ndash CEP 74690-900 Goiacircnia ndash GO Tel (62) 3521 ndash 1390 URL httpwwwfaceufgbreconomia Publicaccedilatildeo cujo objetivo eacute divulgar resultados de estudos que contam com a participaccedilatildeo de pesquisadores do NEPEC As opiniotildees contidas nesta publicaccedilatildeo satildeo de inteira responsabilidade do(s) autor(es) natildeo representando necessariamente o ponto de vista do NEPEC ou da FACEUFG Eacute permitida a reproduccedilatildeo desde que citada a fonte

Page 11: 1(3(& )$&( 8)* · The Dark Side of Prudential MeasuresI Paulo R. Scalco a, Benjamin M. Tabak1, Anderson M. Teixeira aFaculty of Management, Accounting and Economics, Federal University

function In addition the revenue-cost ratio can be affected by other unobserved variables

To accommodate this assumption we add a random error term iid v to equation 4

RC =partlnC

partlnY+ u+ v (5)

32 Primal Approach

As equation 5 has been defined we need to specify a cost function to estimate the term

u that is we are using a dual approach in the context of production theory Kumbhakar

et al (2012) show however that SFA models can use both the dual and primal approaches

to estimate market power In the dual approach the total cost of the bank depends on

the output quantity and input prices and the primal approach we can specify a produc-

tion function (or an input-distance function) where the output is a function of only input

quantities

This flexibility is essential because unlike many examples in the banking industry we do

not have information available on input prices When empirical models need this informa-

tion such as the PR model for example researchers circumvent this problem by estimating

input price estimates from accounting information such as the ratio between expenditure

and the amount of input used (expenditure on staff on total assets for example) The use

of this artifice however as highlighted by Kumbhakar et al (2012) can generate problems

in situations where the amount of input is endogenous

Thus like Das amp Kumbhakar (2016) we use the primal form as an alternative to the dual

form We start from the specification of a transformation function defined as Af(x Y T ) =

1 where f(middot) is a production function for a given technology Y is the quantity produced x

is the quantity vector of inputs used T is a trend variable capturing technological changes

and A is a parameter of neutral technological shift

Using a set of appropriate identification restrictions (Kumbhakar 2012) we can derive a

function input distance (IDF) from the transformation function given by xJ = Ah(x Y T )

or lnxJ = Ah(ln x lnY T ) where xj =xj

xJ j = 1 2 J minus 1 The IDF uses the normal-

ization that f(x Y T ) is homogeneous of degree minus1 iesum

jpartlnfpartlnxj

= minus1

9

Assuming that banks minimize the cost subject to technology specified by the production

function the Lagrangian for the minimization can be defined as

L = wrsquox + λ(Af(x Y T )minus 1) (6)

where w is a vector of input prices and the corresponding first order condition is

wj = minusλApartf(middot)partxj

j = 1 2 J (7)

Multiplying and dividing both sides by xj and f(middot) and rearranging terms we can

rewrite 7 as

wjxj = minusλAf(middot)partf(middot)partxj

xjf(middot)

= minusλAf(middot)partlnf(middot)partlnxj

j = 1 2 J (8)

If we take the sum of all inputs equation 8 becomes

C =Jsum

j=1

wjxj = minusλAf(middot)Jsum

j=1

partlnf(middot)partlnxj

rArr minusλA =C

f(middot)middot 1sumJ

j=1partlnf(middot)partlnxj

(9)

From the envelop Theorem we have that the marginal cost (MC) is partLpartYequiv MC =

λApartf(middot)partY

= 0

If we use equation 9 we can express it as

MC = minus C

f(middot)middot 1sumJ

j=1partlnf(middot)partlnxj

middot partf(middot)partY

partC

party

Y

Cequiv partlnC

partlny= minuspartf(middot)

partY

Y

f(middot)middot 1sumJ

j=1partlnf(middot)partlnxj

EC equivpartlnC

partlny= minuspartlnf(middot)

partlnYmiddot 1sumJ

j=1partlnf(middot)partlnxj

=partlnf(middot)partlnY

equiv EY (10)

Equation 10 states that the Cost Elasticity (EC) equals Product elasticity (EY ) which

can be calculated from the parameters of the distance input function (IDF) This result

10

is important because it means that we can substitute the term on the right side of the

equation 5 by product elasticity that is

RC =partlnf(middot)partlny

+ u+ v u ge 0 (11)

The advantage of estimating equation 11 rather than equation 5 is that we can estimate

mark-ups without the need for input and output prices that is we only need the information

on revenue and total cost of banks and the respective input quantities

In order to estimate the mark-up defined in equation 11 we assume that the transforma-

tion function takes a form of the translog type and apply the appropriate normalizations as

in Kumbhakar (2012) to express the transformation function in the form of an input input

function given by

lnx1 = α0 +Jminus1sumj=1

αjlnxj +1

2

Jminus1sumj=1

Jsumk=2

αjklnxjlnxk

+ αY lnY +1

2αY Y (lnY )2 +

Jminus1sumj=1

αjY lnxjlnY+ + αTT +1

2αTTT

2

+Jminus1sumj=1

αjT lnxjT + αY TT lnY

(12)

from which we can derive the product-elasticity as

EY equivpartlnx1partlnY

= αY + αY Y lnY +Jminus1sumj=1

αjY lnxj + αY TT (13)

where xj =xj

xJ j = 1 2 J minus 1

Replacing equation 13 in equation 11 we define our empirical equation as

RC = αY + αY Y lnY +Jminus1sumj=1

αjY lnxj + αY TT + u+ v (14)

As highlighted by Kumbhakar et al (2012) once that we are interested in estimating

the individual mark-up of each bank we need to focus only on 14 without the need to

11

estimate the full distance input function defined by 12 Besides since the compound error

term (ε = u + v) is the same in the SFA models we use the Maximum Likelihood method

to estimate the model (14) For this it is necessary to assume a hypothesis about the

distribution of the two components

We follow the literature and assume that the random error component v is independent

and identically distributed with a normal distribution zero mean and constant variance

that is v sim N(0 σ2v) On the other hand for the nonnegative component u representing

the banksrsquo mark-up we extend the models of by Coccorese (2014) and Das amp Kumbhakar

(2016) and separating the deviation from the competitive frontier in a deterministic part

which is a function of a vector of explanatory variables Zrsquo of the purely stochastic part

Following the SFA literature we estimate the deterministic component of mark-up si-

multaneously with the parameters of the 14 in the same way as Lopez et al (2018) This

procedure reduces possibility of bias of the estimates when the stochastic term includes

determinants of deviations Thus the mark-up (u) in 14 can be represented by

u = Zrsquoδ + ω (15)

where ω is the stochastic component of mark-up and is defined by a truncated normal

distribution with zero mean and constant variance σ2ω such that ω ge -Zrsquoδ Therefore the

mark-up (u) follows a distribution u sim N+(Zrsquoδ σ2ω)

Combining equations 14 and 15 the model we estimate is as follows

RC = αY + αY Y lnY +Jminus1sumj=1

αjY lnxj + αY TT + Zrsquoδ + ωit + v (16)

In order to verify the impact of prudential measures on the degree of competition we

have included the measures Cerutti et al (2016) as determinants of mark-up in addition to

a measure of concentration represented by the HHI calculated from the total assets of the

banks

12

33 Market Power

To measure the degree of power of each bank we use the traditional measure defined by

Lerner (1934)

L =P minusMC

P (17)

if L = 0 P = MC and for any value L gt 0 P gt MC In the limit L = 1

The connection between the SFA model (equation 16) and the Lerner index is done

rearranging the equation 5 Omitting the error term (v) for simplification we can rewrite

equation 5 as

P middot YC

partlnY

partlnCminus 1 = u

partlnY

partlnCmiddot (18)

Considering that partlnYpartlnC

= (partYpartC

)(CY

) we have

P minusMC

MC=

u

EC

middot (19)

Equation 19 corresponds to an alternative definition of mark-up called θ where the

distance between price and marginal cost is expressed as a fraction of the latter In addition

since the function input distance is dual the cost function we can substitute EC for EY in

equation 19 and after estimating equation 16 and obtain estimates of the mark-up (u) the

estimation of market power can be obtained by replacing the values estimated in equation 19

as follow

θ equiv P minusMC

MC=

u

αY + αY Y lnY +sumJminus1

j=1 αjY ln xj + αY TT (20)

This estimate can be used to obtain the traditional measure of Lerner index as in

equation 16 employing the following formula

L =θ

1 + θ (21)

13

34 Returns to Scale

Finally we can use the estimates of equation 16 to obtain other characteristics of tech-

nology such as the return to scale and the scale bias Formally EC = partlnCpartlnY

= (partCpartY

)(YC) =

MCAC where AC represents the average cost This means that the return to scale is

inversely related to cost elasticity that is RTS = 1EC If EC = 1 we will have constant re-

turns to scale if EC lt 1 we will have increasing returns (economies of scale) and if (EC gt 1)

we will have decreasing returns (diseconomies of scale) Again using the duality condition

between IDF and the cost function we can use the estimates of equation 16 to calculate the

return to scale and scale bias Respectively

RTS =1

αY + αY Y lnY +sumJminus1

j=1 αjY ln xj + αY TT(22)

and

Scale Bias = αY T (23)

If the scale bias parameter (αY T ) is statistically significant and greater than zero this

suggests that technological change is reducing economies of scale over time

4 Database and empirical approach

The database used can be divided into two parts The first part includes the information

of all FI authorized to operate in Brazil by the Brazilian Central Bank (BCB) This infor-

mation is available on the BCBrsquos website through the IFdata system and contains detailed

information on the balance sheet income statement and credit portfolio of all IFs In ad-

dition data are available on an individual basis as well as on financial conglomerates and

prudential conglomerates1 For this work we use the concept of financial conglomerates In

1The BCB defines as a financial conglomerate the group of financial entities directly or unrelated byshareholding or by effective operational control characterized by standard management or by operatingin the market under the same brand or commercial name (Circular note no 1273 from Brazilian CentralBank) The concept of a prudential conglomerate in turn encompasses a broader universe of entities suchas consortium administrators payment institutions and companies that purchase credit operations (Officedocument no 1273 from Brazilian Central Bank)

14

December 2018 there was information on a total of 2753 IFs between commercial banks

or multiple banks with and without commercial portfolios credit cooperatives development

banks among others arranged quarterly since the first quarter of 2000

Our sample was restricted only to commercial banks or multiple banks with commercial

portfolios and savings banks Banks with loan portfolio equal zero and did not contain

information for at least three consecutive years were excluded In the same way we excluded

banks with observations that fell bellow 1st percentile of the sample for each one of variables

used in the model or above 99th percentile only for the dependent variable RC = TRC

Furthermore we chose to work with the data on a semi-annual basis (June and December

base dates) because inconsistencies we have found in some quarterly accounting data After

applying all these criteria our sample was restricted to a panel with only 83 banks between

the first half of 2000 and the second half of 2014 totaling 1818 observations2 In terms

of representativeness our sample with only 83 banks corresponded to 794 of the total

assets and 817 of the credit portfolio of the entire SFN in December 2014

The second database was obtained from Cerutti et al (2016) In this unprecedented

database the focus is on the change and intensity in the use of a set of prudential instruments

classified as micro-prudential and macro-prudential3 They collect the data for 64 countries

with a quarterly period covering the period between the first quarter of 2000 and the fourth

quarter of 2014 In the database in addition to a considerable number of countries the

information collected by the authors has the objective of mapping the intensity and the

change occurring quarterly in each of the prudential instruments

The original instruments of the database are the capital requirement capital buffer

interbank exposure limit concentration limit maximum loan amount commonly known as

Loan-to-value and reserve requirement

Concerning the capital requirement instrument we can understand it as an imposition

2Although the BCB has information until the second half of 2018 the database with prudential variablesavailable in the article by Cerutti et al (2016) goes only until the second half of 2014

3The database of Cerutti et al (2016) is a considerable advance to the available prudential data collectedso far in Lim et al (2011) and Cerutti et al (2017a) In both studies the focus is on only identifying whetheror not the country has implemented the appropriate prudential instrument

15

for a compulsory deposit with the BCB of demand deposits of financial institutions Capital

buffer serves as a buffer against countercyclical capital whose purpose is to protect the

banking sector in periods of excessive credit growth which is associated with increased

systemic risk On the other hand in periods of credit constraint the buffering capital may

decrease and thus not affecting the performance of the real side of the economy

The interbank exposure limit is a liability limiter maintained by the banking sector as a

whole or by a particular bank By the concentration limit we mean a procedure that limits

the fraction of assets concentrated to a limited number of borrowers

Loan-to-value is a restriction to the borrower or activity It is the imposition of maximum

amounts of loans on the value of collateral or even maximum amounts of indebtedness to the

income of the borrower Finally we can interpret a reserve requirement as an instrument

whose purpose is to limit the multiplication of money in the economy through the imposition

of compulsory deposits with the Central Bank

The prudential capital buffer instrument was broken down into the following categories

general capital requirement real estate credit consumer credit and others We decompose

the reserve requirement instrument into two sub-indices local domestic currency and foreign

currency

Information on intensity and change in prudential tooling is collected as follows by the

researchers If the financial regulator tightens the instrument in question in a specific quarter

the index assumes a value of +1 On the other hand if the same instrument undergoes

relaxation or loosening the value of minus1

Finally the index receives a value of zero if there was no change in the prudential

instrument in that quarter4 According to Cerutti et al (2016) in addition to capturing the

intensity of change in such a prudential policy this type of coding incorporates qualitative

characteristics of the policy that are lost by the type of dichotomous coding (1 if implemented

and 0 otherwise) Despite the simplicity of the coding used it is imperfectly able to measure

direction in policy change Not all the instruments available on the original basis were used

4For more details on how the base was built see Cerutti et al (2016)

16

because some measures were not implemented by the BCB Examples are the capital buffer

for real estate credit the concentration limit of banks to sectors or borrowers and the limit

on interbank exposure

Moreover due to the low variability in most measures and the semi-annual structure

of the database obtained in the BCB we chose to use the cumulative indexes of variation

According to Cerutti et al (2016) the purpose of this cumulative index is to capture the

level of tightness or looseness over a given period Finally to capture an overall measure of

prudential instruments we aggregate all variations of prudential instruments into a single

aggregate instrument called cumulative prudential Table A5 attached illustrates the

change and the intensity of the prudential instruments implemented by Brazil according to

the data collected by Cerutti et al (2016)

Our empirical strategy consists in estimating the equation 16 by Maximum Likelihood in

a two-stage procedure wherein the first stage we obtain the estimates of the parameters of

the equation and in the second stage we calculate the estimates of uit using the conditional

mean estimator of Jondrow et al (1982)

After obtaining the estimates of u and RC equiv EY we use equation 20 to calculate the

estimated values of θ which are used to calculat e the Lerner Index (L) according to

equation 21

We estimated six models wif different sets of deterministic variables (prudential measures)

to control the parameter of market power (uit) In the first model we did not add any

controls In the second we include only the HHI In the third specification we include the

capital buffer and capital requirement The fourth model uses only the loan-to-value In the

fifth model we include reserve requirements in both foreign and local currency and in the

last model we include the cumulative prudential measure which is the sum of the changes

in all other prudential measures

The inclusion of prudential variables in a separated way was necessary because they

represent only the tightening or the loosening of the prudential instrument Therefore they

do not represent the change in the magnitude of the prudential instrument As such the

variables have little variability and the high correlation generated between them causes

17

severe problems in the estimation process by maximum likelihood In general the tests with

the aggregate models did not reach the convergence of likelihood function even using different

strategies for initial values or optimization algorithm and when the optimization reaches an

optimal state the estimates were inconsistent For this reason we chose to estimate simpler

models including prudential variables separately or at most two when they represented

similar measures

Besides two critical events occurred in the second half of 2008 and significantly changed

the structure and dynamics of the banking industry in Brazil The outbreak of the subprime

crisis in the US and the acquisition of Unibanco by Itau in Brazil5 Itau-Unibanco has become

the largest bank in Brazil (Itau-Unibanco) accounting for 191 of total SFN assets and

184 of the total loan portfolio in the second half of 2008

We can observe the increase in market concentration in Figure 1 which represents HHI

concentration indices for total assets and total credit portfolio The increase in concentra-

tion levels of the banking industry on the other hand also coincides temporarily with the

outbreak of the GFC and an increase in rigidity in prudential instruments after the onset of

the crisis6

These events result in a high correlation between the variables and making it more

difficult to isolate the effects of each variable on the parameter of market power In this

way we also chose to estimate an HHI-only model as the control variable of market power

(uit)

Figure 1 Evolution of the Herfindahl Index (HHI) over time using credit and total assets

for the Brazilian banking system

We summarize the description of the variables that we will use in the estimation of

5Unibanco was the sixth largest Brazilian bank in the first half of 2008 accounting for 59 of total SFNassets and 6 of the total loan portfolio Also Itau was the third largest bank with 118 of SFN and119 of the loan portfolio

6Cubillas amp Suarez (2018) find the same result as the banksrsquo market power increased shortly after theGFC

18

equation 16 and how we calculate them in Table 1 All variables included in equation 16

except for trend prudential variables an HHI are in the logarithms form

Table 1 Variables used to IDF estimatation

5 Empirical Results

We present the results of the models in Table 2 Initially focusing on the interpretation

of the parameters of the input-distance function we verified that the size of the IF credit

portfolio (lnY ) has a negative sign but it was significant only for models 1 4 and 5 This

result implies that the larger the portfolio size the lower the revenue-cost ratio of the FI

Table 2 Results of IDF estimation

The coefficients of Staff costs (lnx1) and volume of funding (lnx2) were also negative

and significant in all models Thus the higher the staff costs and the higher the funding

volume the lower the cost-to-cost ratio of the FIs The trend variable as established by

equation 23 represents the scale bias and the negative sign would indicate that technological

change would increase economies of scale over time however no estimate was significant

51 Impact of Prudential Measures on Mark-up

The evaluation of the variables that determine the mark-up parameter (u) shows that

all of them are statistically significant and positive The SFA model is not linear in these

parameters Therefore the value of the coefficients does not represent the effect of the

magnitude of changes in the variables on the mark-up (their elasticities) However we can

estimate their marginal effects We present them for each variable in Figure 2

19

Figure 2 Marginal effects of HHI and prudential instruments (Capital Buffer Capital

RequirementLTV Reserve Requirement (Foreign) Reserve Requirement (domestic) and

cumulative prud) on themark-upucomponent

The positive sign of HHI in model 2 means that the more concentrated the banking

industry is the higher the market power of FIs This result is in line with that established by

the traditional structure-conduct-performance paradigm (Schmalensee 1989) However as

can be seen in Figure 1 the increase in the concentration index coincides with the tightening

of the prudential measures stemming from the GFC In this sense we can not say whether

this is the real effect of the increase in market concentration on the market power of FIs or

whether it is affected by the tightening of prudential measures

If we focus on prudential instruments the results for capital buffers and the capital

requirement (model 3) indicate that a tightening in these variables - whose purpose is to

increase banksrsquo capital reserve during positive shocks in the economy - has a detrimental

effect on competition market since they raise the IF mark-ups This effect happens because

this prudential measure influences the smoothing of the credit supply cycle

The same results are present for the loan-to-value variable (model 4) In general this

measure sets limits on the leverage of mortgages and other securities and a tightening in

ltv is effective in controlling possible booms in the real estate market by reducing real estate

prices and ultimately reducing the excess volatility of the economy ((Zhang amp Zoli 2016

Ely et al 2019) According to the result found the higher the limits the greater the market

power of the FIs

With respect to reserve requirements both in foreign and local currency - credit limits

directly in foreign currency and domestic currency respectively - the results (model 5) also

demonstrate a detrimental effect on competition since the tightening in such measures also

implies an increase mark-up of IFs In the model 6 where we introduce the aggregate

prudential measure the result found is similar to the others that is the higher the tightness

(in general) in the prudential measures of the financial system the higher the market power

of FIs

20

Unfortunately since prudential variables represent only a measure of tightening or loos-

ening of prudential policy and not its magnitude we can not accurately assess the impact

of these variables on the mark-up The marginal effects represented in Figure 2 give us only

an idea of how such variables affected the estimated mark-ups

However in general we can say that the positive signs of the estimates mean that the

higher the tightness in these prudential policies the greater the mark-up and consequently

the higher the market power of the FIs Therefore we find a perverse effect on industry

competition and probably a loss of borrowers welfare

Our results are in accordance with the evidence that the increase in prudential rigor has

negative impacts mainly on the supply of credit (Lim et al 2011 Claessens 2015 Aiyar

et al 2014 Gropp et al 2018 Cerutti et al 2017a) Ceteris paribus the increase of IF

mark-ups would be a fully expected effect As highlighted by Claessens amp Laeven (2004) any

policy that restricts the activity of banks and hinders their operation has negative impacts

on market competition

52 Estimation of Lerner indices

Regarding the mark-up estimation the values reported at the bottom of Table 2 corre-

spond to the distance between the observed revenue-cost ratio and its competitive boundary

that is the component u

To interpret the mark-up however we will focus the discussion on the estimates of

Lerner index (equation 21) because they have a more unambiguous economic meaning We

summarize the results of Lerner index for general estimates by type of control and for each

model in Table 3 and the Figure 3 shows their frequency distributions We should emphasize

that these estimates are individuals that is we obtain the estimates for each IF and at each

period t The tables in Annex (A6 to A11) summarizes the estimates of the Lerner index

and the returns to scale for each IF in the sample

Table 3 Estimates of Lerner index general and by type of control

21

Figure 3 Frequency distribution of Lerner indexes for each model and density estimation

Kernel by typeof control

For all six models all mark-up estimates were within the theoretical range of 0 and 1

with the minimum value being 0009 (model 2) and the maximum value 0362 (model 3) In

general the estimated average value was between 0051 (model 2) and 0058 (models 1 and

5) which means that on average Brazilian banks have a mark-up between 51 and 58

These values are slightly different when we separate the estimates by type of control

In the case of state-owned banks the average mark-up was between 0047 (model 2)

and 0057 (model 1) These values are lower in all the estimated models to the values

of (privates) national banks (0052-0057) and foreign banks (0050-0061) However the

medians of estimated values for state-owned banks were higher than the national and foreign

private banks in all models

For comparison purposes these values are considerably lower than the value (016) esti-

mated for Brazil in Coccorese (2014) We believe that this difference is due to the model and

sample used Coccorese (2014) has estimated the dual version of model (equation 5) and

as highlighted by Kumbhakar et al (2012) the use of accounting information to calculate

input prices can generate problems when they are endogenous

Regarding the sample Coccorese (2014) also used a different period from ours (1994 to

2012) and a more significant number of IFs in the sample (189 against 83 used by us) The

main difference here is in the number of IF - 106 in total In this respect it is essential to

note that these FIs constitute small FIs and in the second half of 2014 they held only 37

of total SFN assets and 24 of the total credit portfolio

We tried to replicated the Coccoresersquo sample but in preliminary tests we have found great

difficulties in the models estimations in particular at convergence of likelihood function

We observed these small IFs had in several situations extremely high values for the revenue-

cost ratio or excessively low for the inputs used (personnel expenses and funding) as well

as other problems such as launch errors (positive values in variables of expenditure for

example) and missings For these reasons and considering that such IFs represented only a

22

small fraction of Brazilian credit market we decided to exclude them from the sample

However It is worth highlight as they are small FIs the vast majority operate in particular

segments of the credit market and probably assume a more risk-taking behavior Considering

that they will work with a segment of credit claimants with rdquoworse scoresrdquo than borrowers

using large FIs we expect that the mark-up of these IFs will be higher We can observe

(part of) this phenomenon in Figure 4 where we represent the estimates of the Lerner index

(vertical axis) against market share of total assets (horizontal axis) of our sample and it is

quite evident the smaller banks have the higher mark-ups Therefore as our sample exclude

a large proportion of these small IFs it is natural that Coccorese (2014)rsquo results larger than

ours

Figure 4 Lerner indexes according to the size (market share) of banksrsquo assets

Regardless of this our results seem to adhere well to reality because if we look at Figure

5 we note that the Lerner indices show a significant increase from the second semester of

2008 These results are in agreement with the results of Cubillas amp Suarez (2018) Besides

in Figure 6 Lerner indexes are separated by type of control and we can observe that with

some exceptions the market power has always been lower for state-owned banks especially

considering the period after the GFC

Figure 5 Average Lerner indices for each model between 2000q2 and 2014q4

Figure 6 Average Lerner indices estimated for public private national and private

foreign banks between2000q2 and 2014q4

23

53 Estimation of Returns to Scale

Finally Table 4 and Figure 7 summarize the estimates of returns to scale We highlight

that the average of the returns to the scale of the Brazilian FIs is very close if we comparer

the six estimated models (between 0848 and 0851) Although the values are close to unity

in all IFs we reject the hypotheses of constant returns to the scale that is RTS = 1 therefore

IFs have diseconomies of scale

Table 4 Estimates of returns to scale by control type and general

When we separate estimates by type of control the estimates of state-owned banks

(0937-0944) are higher than national (0824-0829) and foreign banks (0841-0844) This

result means that the scale problem is a problem common to all FIs in Brazil Moreover

state-owned banks runs closer to the constant return region than national and foreign banks

Figure 7 Frequency distribution of the returns to scale indexes for each model and

density estimationKernel by type of control

6 Final Considerations

Considering that the banking industry underwent a significant restructuring in recent

years caused by several mergers and acquisitions in the sector as well as by a severe financial

crisis started in mid 2007 and potentialized in 2008 understand the behavior of market

power and as a (partial) set of prudential instruments influencing this dynamic has become

paramount Thus in an innovative way this paper proposed the use of stochastic frontier

analysis techniques to measure market power for the Brazilian banking industry and to test

if such prudential measures had an impact on the competitive dynamics of sector

The estimated average Lerner index was between 51 and 58 for Brazilian FIs How-

ever when controlled by the type of control we find that state-owned banks have slightly

24

lower estimates than national and foreign banks respectively Also estimates of returns to

scale allow us to infer that FIs operate with diseconomies of scale

Concerning the impact of prudential measures on the market power of FIs our results

generally suggest that tightening of prudential measures have a positive impact on bank

mark-up and consequently have detrimental effects on competition in industry banking

Finally in future research it will be possible to better understand the influence of some

prudential measures in the banking market through the study by type of segment or line of

credit

25

References

Aiyar S Calomiris C W amp Wieladek T (2014) Does macro-prudential regulation leak ev-

idence from a uk policy experiment Journal of Money Credit and Banking 46 181ndash214

URL httpsonlinelibrarywileycomdoiabs101111jmcb12086 doi101111jmcb12086

arXivhttpsonlinelibrarywileycomdoipdf101111jmcb12086

Altunbas Y Binici M amp Gambacorta L (2018) Macroprudential policy and bank risk Journal of

International Money and Finance 81 203ndash220 doihttpsdoiorg101016jjimonfin201711

012

Araujo L A D d amp Jorge Neto P d M (2007) Risco e competicao bancaria no Brasil Revista Brasileira

de Economia 61 175ndash200 URL httpwwwscielobrscielophpscript=sci_abstractamppid=

S0034-71402007000200003amplng=enampnrm=isoamptlng=pt doi101590S0034-71402007000200003

Auer R amp Ongena S (2019) The countercyclical capital buffer and the composition of bank lending

Available at SSRN 3345189

Ayyagari M Beck T amp Peria M (2018) The micro impact of macroprudential policies Firm-level

evidence IMF Working Paper

Barbosa K de Paula Rocha B amp Salazar F (2015) Assessing competition in the banking indus-

try A multi-product approach Journal of Banking amp Finance 50 340ndash362 URL httpwww

sciencedirectcomsciencearticlepiiS0378426614001642 doi101016jjbankfin201405

003

Belaisch A (2003) Do Brazilian Banks Compete SSRN Scholarly Paper ID 879189 Social Science Research

Network Rochester NY URL httpspapersssrncomabstract=879189

Bikker J A Shaffer S amp Spierdijk L K (2012) Assessing competition with the panzar-rosse model

The role of scale costs and equilibrium Economics Letters 94 1025ndash1044

Bresnahan T F (1982) The oligopoly solution concept is identified Economics Letters 10 87ndash92 URL

httpdxdoiorg1010160165-1765(82)90121-5 doi1010160165-1765(82)90121-5

Bresnahan T F amp Reiss P (1991) Entry and competition in concentrated markets Journal of Political

Economy 99 977ndash1009

Camors C amp Peydro J (2014) Macroprudential and monetary policy Loan-level evidence from reserve

requirement Mimeo Universitat Pompeu Fabra URL httpspdfssemanticscholarorgd508

61639bb4e7453a7a39184edf9b0c1e7016a6pdf

Cardoso M Azevedo P F amp Barbosa K (2016) Concorrencia no setor bancario brasileiro bancos

individuais versus conglomerados bancarios (pp 113ndash146) URL httprepositorioipeagovbr

handle110586650

Cerutti E Claessens S amp Laeven L (2017a) The use and effectiveness of macroprudential policies New

26

evidence Journal of Financial Stability 28 203ndash224 doihttpsdoiorg101016jjfs201510

004

Cerutti E Correa R Fiorentino E amp Segalla E (2016) Changes in prudential policy instruments ndash a

new cross-country database IMF Working Paper WP1610

Cerutti E Dagher J amp DellrsquoAriccia G (2017b) Housing finance and real-estate booms A cross-country

perspective Journal of Housing Economics 38 1ndash13

Claessens S (2015) An overview of macroprudential policy tools Annual Re-

view of Financial Economics 7 397ndash422 URL httpsdoiorg101146

annurev-financial-111914-041807 doi101146annurev-financial-111914-041807

arXivhttpsdoiorg101146annurev-financial-111914-041807

Claessens S Ghosh S R amp Mihet R (2013) Macro-prudential policies to mitigate financial system

vulnerabilities Journal of International Money and Finance 39 153ndash185 doihttpsdoiorg10

1016jjimonfin201306023

Claessens S amp Laeven L (2004) What drives bank competition some international evidence Journal

of Money Credit and Banking 36 563ndash583 URL httpwwwjstororgstable3838954

Coccorese P (2014) Estimating the Lerner index for the banking industry a stochastic frontier approach

Applied Financial Economics 24 73ndash88 URL httpdxdoiorg101080096031072013866202

doi101080096031072013866202

Coelho C A De Mello J M amp Rezende L (2013) Do Public Banks Compete with Private

Banks Evidence from Concentrated Local Markets in Brazil Journal of Money Credit and Bank-

ing 45 1581ndash1615 URL httponlinelibrarywileycomdoi101111jmcb12063abstract

doi101111jmcb12063

Cubillas E amp Suarez N (2018) Bank market power and lending during the global financial crisis Jour-

nal of International Money and Finance 89 1ndash22 URL httpwwwsciencedirectcomscience

articlepiiS0261560618303048 doihttpsdoiorg101016jjimonfin201808003

Das A amp Kumbhakar S C (2016) Markup and efficiency of Indian banks an input distance func-

tion approach Empirical Economics (pp 1ndash31) URL httplinkspringercomarticle101007

s00181-015-1062-4 doi101007s00181-015-1062-4

Ely R Tabak B amp Teixeira A (2019) Heterogeneous effects of the implementation of macroprudential

policies on bank risk MPRA Paper No94546

Freixas X Laeven L amp Peydro J-L (2015) Systemic Risk Crises and Macroprudential Regulation

Mit Press URL httpwwwjstororgstablejctt17kk82g

Galati G amp Moessner R (2013) Macroprudential policy ndash a literature review Jour-

nal of Economic Surveys 27 846ndash878 URL httpsonlinelibrarywileycom

27

doiabs101111j1467-6419201200729x doi101111j1467-6419201200729x

arXivhttpsonlinelibrarywileycomdoipdf101111j1467-6419201200729x

Gropp R Mosk T Ongena S amp Wix C (2018) Banks Response to Higher Cap-

ital Requirements Evidence from a Quasi-Natural Experiment The Review of Finan-

cial Studies 32 266ndash299 URL httpsdoiorg101093rfshhy052 doi101093rfshhy052

arXivhttpoupprodsislanrfsarticle-pdf32126627185080hhy052pdf

Hyde C E amp Perloff J M (1995) Can market power be estimated Review of Industrial Organization 10

465ndash485 URL httplinkspringercomarticle101007BF01024231 doi101007BF01024231

Igan D amp Kang H (2011) Do loan-to-value and debt-to-income limits work evidence from korea IMF

Working Papers (pp 1ndash34)

Jimenez G Ongena S Peydro J-L amp Saurina J (2017) Macroprudential policy countercyclical bank

capital buffers and credit supply Evidence from the spanish dynamic provisioning experiments Journal

of Political Economy 125 2126ndash2177 URL httpsdoiorg101086694289 doi101086694289

arXivhttpsdoiorg101086694289

Jondrow J Knox Lovell C A Materov I S amp Schmidt P (1982) On the estimation of technical

inefficiency in the stochastic frontier production function model Journal of Econometrics 19 233ndash

238 URL httpwwwsciencedirectcomsciencearticlepii0304407682900045 doi101016

0304-4076(82)90004-5

Klingelhoger J amp Sun R (2019) Macruprudential policy central banks and financial stability Evidence

from china Journal of International Money and Finance 93 19ndash41 URL httpsdoiorg101016

jjimonfin201812015

Kumbhakar S C (2012) Specification and estimation of primal production models European Journal

of Operational Research 217 509ndash518 URL httpwwwsciencedirectcomsciencearticlepii

S0377221711008939 doi101016jejor201109043

Kumbhakar S C Baardsen S amp Lien G (2012) A New Method for Estimating Market Power with

an Application to Norwegian Sawmilling Review of Industrial Organization 40 109ndash129 URL http

linkspringercomarticle101007s11151-012-9339-7 doi101007s11151-012-9339-7

Lerner A P (1934) The Concept of Monopoly and the Measurement of Monopoly Power The Review

of Economic Studies 1 157ndash175 URL httprestudoxfordjournalsorglookupdoi102307

2967480 doi1023072967480

Lim C H Costa A Columba F Kongsamut P Otani A Saiyid M Wezel T amp Wu X (2011)

Macroprudential policy what instruments and how to use them lessons from country experiences IMF

working papers (pp 1ndash85)

Lopez R A He X amp Azzam A (2018) Stochastic frontier estimation of market

28

power in the food industries Journal of Agricultural Economics 69 3ndash17 URL https

onlinelibrarywileycomdoiabs1011111477-955212219 doi1011111477-955212219

arXivhttpsonlinelibrarywileycomdoipdf1011111477-955212219

Lucinda C R (2010) Competition in the Brazilian loan market an empirical analysis Estudos Economicos

(Sao Paulo) 40 831ndash858 URL httpwwwscielobrscielophpscript=sci_abstractamppid=

S0101-41612010000400004amplng=enampnrm=isoamptlng=en doi101590S0101-41612010000400004

Moreno R (2011) Policymaking from arsquomacroprudentialrsquoperspective in emerging market economies

Nakane M I (2002) A test of competition in brazilian banking Estudos Economicos (Sao Paulo) 32

203ndash224 URL httpwwwrevistasuspbreearticleview117799

Panzar J C amp Rosse J N (1987) Testing for rdquomonopolyrdquo equilibrium The Journal of Industrial

Economics 35 443ndash456 URL httpwwwjstororgstable2098582 doi1023072098582

Richter B Schularick M amp Shim I (2019) The costs of macroprudential policy Journal of Inter-

national Economics 118 263 ndash 282 URL httpwwwsciencedirectcomsciencearticlepii

S0022199618302617 doihttpsdoiorg101016jjinteco201811011

Schmalensee R (1989) Chapter 16 inter-industry studies of structure and performance In Hand-

book of Industrial Organization (pp 951ndash1009) Elsevier BV URL httpdxdoiorg101016

s1573-448x(89)02004-2 doi101016s1573-448x(89)02004-2

Silva M S d () Avaliacao do processo de concentracao-competicao no setor bancario brasileiro URL

httpwwwbcbgovbrpecwpsporttd377pdf

Tabak B amp Gomes G (2015) The impact of market power at bank level in risk-taking The brazilian

case International Review of Financial Analysis 40 154ndash165

Tabak B M Fazio D M amp Cajueiro D O (2012) The relationship between banking market competition

and risk-taking Do size and capitalization matter 36 3366ndash3381 URL httpwwwsciencedirect

comsciencearticlepiiS0378426612002026 doi101016jjbankfin201207022

Wong T Fong T Li K-f amp Choi H (2011) Loan-to-value ratio as a macroprudential tool-hong kongrsquos

experience and cross-country evidence

Zhang L amp Zoli E (2016) Leaning against the wind Macroprudential policy in asia Journal of Asian

Economics 42 33ndash52

29

Figure 1 Evolution of the Herfindahl Index (HHI) over time using credit and total assets for theBrazilian banking system

30

Figure 2 Marginal effects of HHI and prudential instruments (Capital Buffer Capital RequirementLTV Reserve Requirement (Foreign) Reserve Requirement (domestic) and cumulative prud) on the

mark-up u component

31

Figure 3 Frequency distribution of Lerner indexes for each model and density estimation Kernel by typeof control

32

Figure 4 Lerner indexes according to the size (market share) of banksrsquo assets

33

Figure 5 Average Lerner indices for each model between 2000q2 and 2014q4

34

Figure 6 Average Lerner indices estimated for public private national and private foreign banks between2000q2 and 2014q4

35

Figure 7 Frequency distribution of the returns to scale indexes for each model and density estimationKernel by type of control

36

Table 1 Variables used to IDF estimatation

Variabel Description SourceBasic variables

TR Total Revenue = Gross Insterest Income (a) + Bank-ing Service Fee Income (d1) + Banking Fee Income(d2) + Other Operating Income (d7)

Inc statIFData

TC Total Cost = Interest Expenses (b) + Personnel Ex-penses (d3) + Administrative Expenses (d4) + TaxExpenses (d5) + Other Operating Expenses (d8)

Inc statIFData

Y Loan Lease and Other Credit Operations by RiskLevel

SummaryIFData

x1 Personnel Expenses (d3) Inc statIFDatax2 Funding (e) LiabilitiesIFDatax3 Equity (j) LiabilitiesIFData

Model variabelslnRC Log of Revenue-Cost ratiolnY Log of total loanlnx1 Log of personnel expenses and equity ratio (x1x3)lnx2 Log of funding and equity ratio (x2x3)T Time

Prudential variables - Deterministic mark-up parametersHHIt HHIt =

sumS2it where Sit

2 is market share of totalasset of bank i on time t

Inc statIFData

cb cumulative change of capital buffer Cerutti et al (2016)cr cumulative change of capital requirement Cerutti et al (2016)ltv cumulative change of loan-to-value Cerutti et al (2016)

rr foreign cumulative change of reserve requirement (foreigncurrency)

Cerutti et al (2016)

rr local cumulative change of reserve requirement (domesticcurrency)

Cerutti et al (2016)

37

Table 2 Results of IDF estimation

Parameters VariablesEstimates

Model Model Model Model Model Model(1) (2) (3) (4) (5) (6)

Parametros da funcao insumo distanciaαY Y lnY -0013 -0003 -0004 -0012 -0011 -0005

(000) (000) (000) (000) (000) (000)α1Y lnx1 -0096 -0095 -0094 -0094 -0096 -0090

(001) (001) (001) (001) (001) (001)α2Y lnx2 -0019 -0022 -0022 -0019 -0020 -0021

(001) (001) (001) (001) (001) (001)αY T T -0000 -0000 -0000 -0000 -0000 -0000

(000) (000) (000) (000) (000) (000)αY const 1153 1010 1035 1134 1129 1057

(005) (007) (005) (005) (005) (006)

Deterministic Mark-up parametersδ1 HHI 764157

(12270)δ1 Capital

Buffer7586(065)

δ2 CapitalReq

4696(160)

δ1 Loan-to-value38511(671)

δ1 ResR(foreign)10730(433)

δ2 ResR(local)2869(126)

δ1 Cum Prud3237(020)

δ0 const minus10601minus10194minus5306 minus9866 minus8577 minus4993(032) (2064) (316) (079) (119) (122)

Distribution of u and vσ2u 2840 1418 1620 2643 2441 1593σ2v 0118 0121 0120 0118 0118 0120λ 2402 1172 1354 2233 2065 1325Log Lik 887404 922033 918606 896019 891991 907817

EstimatesEstimates of Mark-up (u)Avg 0075 0065 0068 0074 0075 00691st quartile 0052 0038 0051 0051 0051 0044Median 0062 0048 0060 0060 0061 00543st quartile 0080 0074 0079 0079 0079 0075std-dev 0053 0054 0053 0053 0054 0054

Note p lt 010 p lt 005 and p lt 001

38

Table 3 Estimates of Lerner index general and by type of control

EstimatesModel Model Model Model Model Model

(1) (2) (3) (4) (5) (6)Mark-up (L) generalAverage 0058 0051 0053 0057 0058 0053std-dev 0032 0034 0034 0032 0032 00331st quartile 0043 0031 0034 0041 0042 0036Median 0051 0039 0044 0050 0050 00453st quartile 0063 0060 0059 0063 0063 0060Mark-up (L) State-owned banksAverage 0057 0047 0049 0056 0056 0050std-dev 0018 0017 0017 0018 0016 00161st quartile 0047 0035 0038 0045 0046 0040Median 0054 0041 0046 0053 0053 00463st quartile 0064 0056 0056 0064 0063 0057Mark-up (L) National banksAverage 0057 0052 0054 0057 0057 0054std-dev 0034 0038 0038 0035 0035 00371st quartile 0041 0030 0033 0040 0041 0035Median 0050 0038 0043 0048 0049 00443st quartile 0061 0061 0060 0061 0062 0060Mark-up (L) Foreign banksAverage 0061 0050 0053 0059 0060 0054std-dev 0034 0033 0032 0034 0034 00321st quartile 0042 0031 0034 0041 0042 0036Median 0052 0040 0044 0051 0051 00453st quartile 0068 0059 0060 0066 0066 0061

Table 4 Estimates of returns to scale by control type and general

ModelState-owned

banksNational

banksForeignbanks

General std-dev Min Max

1 0944 0824 0842 0848 0073 0665 11242 0940 0829 0843 0851 0066 0690 10733 0938 0827 0842 0849 0066 0689 10764 0941 0824 0842 0848 0071 0671 11115 0942 0824 0841 0848 0072 0669 11136 0937 0829 0844 0850 0065 0692 1073

39

Appendix A Attachment Tables

Table A5 Cumulative change on Prudential Measures intensity

TimeCapitalBuffer 2

(cb)

CapitalReq(cr)

Loan-to-Value(ltv)

Reserve Reqlocal curr

(RR local)

Reserve Reqforeign cur

(RR foreign)

CumulativePrudential 3

(Cum Prud)2000q2 -1 0 0 0 -2 -32000q4 -1 0 0 0 -2 -32001q2 -1 0 0 0 -2 -32001q4 0 0 0 0 -1 -12002q2 0 0 0 0 0 02002q4 2 0 0 0 2 42003q2 0 0 0 0 3 32003q4 0 0 0 0 2 22004q2 0 0 0 0 2 22004q4 0 0 0 0 2 22005q2 0 0 0 0 2 22005q4 0 0 0 0 2 22006q2 0 0 0 0 2 22006q4 0 0 0 0 2 22007q2 2 0 0 0 2 42007q4 2 0 0 0 2 42008q2 2 0 0 0 2 42008q4 2 0 0 0 1 32009q2 2 0 0 0 0 22009q4 2 0 0 0 -1 12010q2 2 0 0 0 1 32010q4 3 0 0 0 3 62011q2 3 0 0 1 3 72011q4 4 0 0 2 3 92012q2 3 1 0 2 3 92012q4 3 1 0 1 2 72013q2 3 2 0 0 2 72013q4 3 2 1 0 2 82014q2 3 2 1 0 2 82014q4 2 2 1 0 3 82Sum of capital buffer and others 3Aggregate measure (It is the sum of the change of all other instrument)

40

Table A6 Estimates of Lerner index and return to scale by bank - Model (1)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0042 0082 0009 0940 0007 -85Banrisul S 0055 0041 0084 0009 0952 0008 -635BEC S 0048 0021 0077 0016 0844 0009 -1756BRB S 0058 0033 0100 0015 0961 0003 -1533BB S 0058 0039 0098 0012 0990 0006 -173Caixa Economica Federal S 0063 0051 0174 0022 1052 0004 1458B da Amazonia SA S 0057 0016 0124 0023 0844 0008 -2028B do Estado Do Para SA S 0061 0026 0110 0022 0936 0004 -1764B do Est do Maranhao SA S 0055 0046 0065 0006 0935 0014 -455B do Est do Piauı SA - Bep S 0057 0030 0155 0029 0862 0004 -326B do Estado De Sergipe SA S 0061 0024 0135 0022 0947 0004 -1453Nossa Caixa - N Banco SA S 0057 0036 0090 0013 0981 0004 -444Bradesco N 0056 0038 0114 0015 0925 0004 -1945Itau N 0059 0031 0220 0033 0901 0003 -3797Safra N 0053 0037 0085 0009 0885 0003 -4215Unibanco N 0055 0037 0088 0014 0897 0001 -7054Mercantil Do Brasil N 0057 0027 0077 0011 0945 0002 -2527BBM N 0076 0016 0300 0065 0783 0005 -4464BMC N 0052 0030 0079 0012 0845 0003 -4703BMG N 0065 0017 0208 0045 0779 0003 -729JMalucelli N 0047 0022 0069 0013 0718 0003 -8765PEBB N 0065 0017 0181 0047 0698 0008 -3914SS N 0057 0034 0220 0037 0799 0007 -2839Sofisa N 0054 0021 0092 0020 0804 0002 -9903BIC N 0060 0034 0236 0040 0855 0005 -276Schahin N 0056 0028 0214 0035 0835 0006 -262Stock N 0081 0020 0267 0067 0817 0006 -3107Pine N 0052 0022 0108 0019 0808 0004 -545Socopa N 0056 0027 0120 0017 0886 0003 -3806Intercap N 0060 0023 0212 0037 0812 0007 -2851Indusval N 0062 0030 0246 0043 0857 0005 -3139Bonsucesso N 0052 0020 0092 0018 0779 0005 -4033Industrial do Brasil N 0051 0031 0081 0016 0807 0002 -952Votorantim N 0052 0037 0107 0017 0819 0009 -2117Cacique N 0053 0024 0071 0014 0774 0005 -4621Inter Amex N 0055 0037 0068 0010 0837 0008 -2158Alfa N 0048 0041 0059 0005 0806 0002 -11303Rendimento N 0053 0022 0080 0012 0872 0008 -1562Bancoob N 0052 0046 0056 0003 0856 0003 -5061Original N 0085 0017 0279 0090 0729 0007 -4163Banco Intermedium SA N 0052 0028 0070 0015 0743 0006 -3973

Table A6 ndash Continue on next page

41

Table A6 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0225 0049 0761 0003 -7509Banco BBN SA N 0053 0027 0077 0014 0817 0012 -1509B Cooperativo Sicredi SA N 0052 0043 0062 0005 0875 0005 -2477B Cooperativo do Brasil SA N 0056 0046 0142 0020 0910 0006 -1479Banco Topazio SA N 0060 0035 0110 0027 0834 0006 -2966Banco Gerador SA N 0069 0045 0122 0028 0852 0008 -1968Banco Randon SA N 0109 0023 0320 0109 0783 0005 -4158Parana Banco SA N 0050 0026 0108 0020 0784 0008 -2799Banco Triangulo SA N 0055 0028 0091 0020 0833 0004 -4201Banco Guanabara SA N 0052 0024 0169 0025 0777 0004 -5588Banco Cedula SA N 0068 0012 0339 0061 0731 0003 -10236Banco Cacique SA N 0077 0028 0248 0077 0785 0016 -1309B Luso Brasileiro SA N 0065 0027 0208 0043 0849 0004 -349Banco Pecunia SA N 0047 0039 0060 0006 0770 0003 -7086Banco Zogbi SA N 0051 0038 0067 0011 0778 0001 -15193Banco Daycoval SA N 0054 0023 0131 0026 0783 0004 -5522B John Deere SA N 0059 0018 0133 0033 0756 0003 -7955Banco AJ Renner SA N 0053 0025 0081 0015 0827 0006 -2742ABN Amro F 0056 0039 0079 0014 0914 0002 -427Chase F 0068 0014 0228 0049 0790 0008 -2678LLoyds F 0053 0027 0064 0012 0825 0003 -5159BankBoston F 0057 0040 0099 0020 0902 0006 -1638Santander Brasil F 0057 0034 0097 0017 0890 0008 -146Citibank F 0059 0026 0153 0028 0875 0003 -4039BNL F 0055 0041 0097 0019 0840 0006 -2767Sudameris F 0056 0048 0065 0005 0966 0012 -297Societe Generale F 0060 0024 0153 0031 0826 0006 -299Europeu F 0054 0032 0073 0013 0848 0007 -2287ABC-Brasil F 0052 0025 0082 0014 0815 0003 -6207Dresdner F 0083 0017 0280 0074 0815 0006 -3234AGF Braseg F 0051 0031 0100 0016 0794 0004 -4923HSBC F 0057 0046 0092 0010 0971 0006 -466Deutsche F 0068 0013 0160 0036 0857 0004 -3335BNP Paribas F 0050 0037 0068 0007 0824 0005 -3665Barclays F 0052 0024 0089 0021 0771 0008 -2787Rabobank Int Brasil SA F 0058 0022 0166 0028 0842 0003 -5284B Nat de Paris Br SA F 0063 0023 0109 0033 0811 0006 -3331Ibibank SA - Banco Multiplo F 0059 0012 0106 0024 0781 0015 -1441Dresdner Bank - B Multiplo F 0086 0016 0244 0068 0768 0008 -2746Banco Westlb Do Brasil SA F 0064 0034 0108 0027 0839 0010 -1626Banco GE Capital SA F 0067 0032 0247 0047 0852 0010 -1527B Com Uruguai SA F 0072 0020 0192 0049 0830 0003 -52281S - State-owned bank N - National bank and F - Foreign bank

42

Table A7 Estimates of Lerner index and return to scale by bank - Model (2)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0049 0032 0085 0016 0944 0008 -716Banrisul S 0049 0032 0106 0017 0939 0008 -75BEC S 0032 0016 0046 0008 0860 0009 -1489BRB S 0049 0030 0112 0017 0961 0002 -1681BB S 0049 0032 0091 0016 0948 0006 -845Caixa Economica Federal S 0052 0034 0081 0014 1012 0003 382B da Amazonia SA S 0053 0015 0140 0028 0847 0008 -1922B do Estado Do Para SA S 0046 0029 0063 0009 0952 0005 -963B do Est do Maranhao SA S 0036 0029 0045 0005 0963 0016 -235B do Est do Piauı SA - Bep S 0036 0023 0071 0011 0888 0005 -2314B do Estado De Sergipe SA S 0050 0020 0155 0024 0962 0004 -1043Nossa Caixa - N Banco SA S 0039 0027 0074 0011 0972 0005 -601Bradesco N 0050 0028 0116 0023 0890 0004 -2618Itau N 0052 0024 0222 0037 0869 0003 -4269Safra N 0046 0028 0100 0017 0867 0003 -5042Unibanco N 0035 0028 0054 0007 0873 0001 -8511Mercantil Do Brasil N 0051 0029 0093 0019 0941 0002 -2837BBM N 0063 0012 0213 0048 0790 0005 -4494BMC N 0034 0023 0049 0007 0851 0003 -4266BMG N 0065 0015 0233 0057 0776 0004 -6135JMalucelli N 0052 0018 0080 0016 0720 0003 -9566PEBB N 0037 0014 0108 0025 0732 0009 -3086SS N 0056 0024 0236 0046 0797 0007 -2849Sofisa N 0052 0018 0107 0028 0808 0002 -8115BIC N 0057 0026 0259 0050 0850 0006 -2531Schahin N 0047 0022 0225 0041 0845 0007 -2359Stock N 0078 0017 0287 0071 0843 0006 -2782Pine N 0048 0018 0114 0023 0811 0004 -4973Socopa N 0050 0022 0136 0024 0908 0003 -3089Intercap N 0051 0019 0133 0031 0832 0006 -2759Indusval N 0061 0023 0267 0052 0866 0006 -2437Bonsucesso N 0050 0017 0109 0026 0791 0006 -3655Industrial do Brasil N 0044 0024 0079 0015 0816 0002 -8095Votorantim N 0048 0025 0120 0026 0807 0007 -2721Cacique N 0033 0020 0039 0006 0782 0005 -4597Inter Amex N 0035 0025 0045 0007 0844 0006 -2419Alfa N 0042 0029 0069 0013 0801 0002 -12139Rendimento N 0049 0019 0077 0015 0889 0008 -1394Bancoob N 0065 0057 0073 0006 0855 0003 -4199Original N 0099 0019 0299 0096 0732 0006 -4473Banco Intermedium SA N 0062 0032 0081 0019 0754 0006 -4393

Table A7 ndash Continue on next page

43

Table A7 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0059 0016 0239 0051 0778 0003 -6944Banco BBN SA N 0035 0020 0053 0009 0834 0011 -1466B Cooperativo Sicredi SA N 0045 0032 0070 0011 0881 0005 -2581B Cooperativo do Brasil SA N 0045 0029 0147 0025 0922 0006 -1274Banco Topazio SA N 0076 0043 0138 0038 0861 0005 -2569Banco Gerador SA N 0089 0054 0153 0037 0874 0008 -1645Banco Randon SA N 0122 0029 0335 0113 0803 0005 -388Parana Banco SA N 0033 0020 0062 0011 0800 0009 -234Banco Triangulo SA N 0052 0022 0105 0027 0841 0004 -4148Banco Guanabara SA N 0046 0019 0091 0020 0793 0004 -5561Banco Cedula SA N 0062 0011 0359 0067 0749 0003 -9911Banco Cacique SA N 0049 0020 0157 0048 0791 0016 -1315Banco Luso Brasileiro SA N 0066 0022 0241 0055 0870 0005 -2851Banco Pecunia SA N 0032 0027 0036 0003 0787 0003 -6876Banco Zogbi SA N 0032 0026 0037 0005 0784 0002 -13006Banco Daycoval SA N 0053 0019 0139 0036 0784 0004 -6065Banco John Deere SA N 0035 0016 0073 0016 0761 0003 -8278Banco AJ Renner SA N 0047 0021 0083 0015 0844 0006 -2553ABN Amro F 0035 0027 0047 0006 0889 0002 -7231Chase F 0054 0013 0157 0033 0804 0007 -2702LLoyds F 0033 0020 0043 0008 0821 0003 -5429BankBoston F 0036 0026 0060 0011 0888 0006 -1917Santander Brasil F 0055 0025 0115 0030 0864 0008 -1647Citibank F 0051 0020 0132 0025 0860 0003 -4735BNL F 0036 0026 0062 0012 0843 0005 -2959Sudameris F 0036 0031 0040 0004 0949 0011 -468Societe Generale F 0051 0018 0104 0024 0835 0007 -2454Europeu F 0034 0025 0041 0006 0859 0007 -2076ABC-Brasil F 0043 0026 0086 0015 0813 0003 -5797Dresdner F 0050 0014 0190 0046 0824 0004 -3975AGF Braseg F 0044 0024 0068 0014 0810 0005 -4109HSBC F 0052 0031 0110 0021 0948 0007 -776Deutsche F 0054 0012 0166 0030 0866 0005 -2754BNP Paribas F 0049 0028 0073 0013 0818 0004 -4092Barclays F 0065 0028 0121 0027 0811 0005 -4028Rabobank Int Brasil SA F 0047 0017 0102 0017 0845 0003 -4605B Nat de Paris Brasil SA F 0036 0017 0054 0013 0819 0005 -3304Ibibank SA - Banco Multiplo F 0043 0010 0114 0025 0782 0013 -1623Dresdner Bank - B Multiplo F 0096 0015 0270 0076 0785 0007 -2924Banco Westlb Do Brasil SA F 0041 0026 0062 0013 0853 0010 -154Banco GE Capital SA F 0054 0026 0253 0049 0862 0010 -1444B Com Uruguai SA F 0070 0017 0220 0058 0849 0003 -4471S - State-owned bank N - National bank and F - Foreign bank

44

Table A8 Estimates of Lerner index and return to scale by bank - Model (3)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0034 0090 0016 0941 0008 -772Banrisul S 0051 0032 0108 0016 0938 0008 -772BEC S 0035 0018 0051 0009 0856 0009 -1562BRB S 0052 0032 0122 0018 0958 0002 -1793BB S 0052 0035 0085 0015 0951 0006 -809Caixa Economica Federal S 0054 0039 0098 0014 1015 0003 465B da Amazonia SA S 0053 0014 0113 0024 0845 0008 -1977B do Estado Do Para SA S 0049 0028 0071 0010 0947 0005 -1117B do E do Maranhao SA S 0041 0032 0059 0008 0957 0015 -285B do E do Piauı SA - Bep S 0041 0028 0086 0014 0882 0005 -2518B do Estado De Sergipe SA S 0052 0021 0145 0022 0957 0004 -1182Nossa Caixa - N Banco SA S 0045 0029 0081 0015 0971 0005 -651Bradesco N 0052 0029 0101 0021 0893 0004 -2614Itau N 0054 0025 0203 0034 0872 0003 -4328Safra N 0048 0029 0093 0015 0869 0003 -5008Unibanco N 0041 0028 0067 0010 0874 0001 -8514Mercantil Do Brasil N 0053 0026 0095 0018 0939 0002 -29BBM N 0067 0013 0250 0056 0789 0005 -4501BMC N 0038 0024 0069 0010 0849 0003 -4408BMG N 0067 0015 0233 0058 0776 0004 -6374JMalucelli N 0052 0022 0087 0016 0720 0003 -9426PEBB N 0045 0014 0158 0040 0727 0009 -3192SS N 0057 0025 0231 0046 0797 0007 -287Sofisa N 0053 0018 0116 0026 0807 0002 -8444BIC N 0059 0030 0250 0049 0850 0006 -2596Schahin N 0048 0023 0220 0038 0842 0007 -2424Stock N 0083 0017 0304 0077 0838 0006 -2873Pine N 0049 0019 0105 0020 0810 0004 -5103Socopa N 0050 0026 0111 0018 0903 0003 -3253Intercap N 0055 0020 0196 0036 0828 0006 -283Indusval N 0062 0029 0282 0052 0863 0005 -2588Bonsucesso N 0051 0017 0118 0025 0789 0006 -3771Industrial do Brasil N 0046 0025 0086 0015 0815 0002 -8341Votorantim N 0050 0027 0128 0027 0809 0007 -2664Cacique N 0037 0020 0048 0009 0781 0005 -4645Inter Amex N 0039 0026 0058 0009 0842 0006 -2468Alfa N 0044 0031 0072 0011 0801 0002 -11998Rendimento N 0049 0022 0078 0011 0885 0008 -1463Bancoob N 0066 0057 0077 0007 0854 0003 -4342Original N 0102 0019 0301 0096 0730 0006 -4526Banco Intermedium SA N 0059 0027 0083 0020 0752 0006 -4354

Table A8 ndash Continue on next page

45

Table A8 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0017 0217 0054 0776 0003 -7084Banco BBN SA N 0038 0022 0058 0010 0831 0011 -1492B Cooperativo Sicredi SA N 0047 0035 0071 0010 0879 0005 -259B Cooperativo do Brasil SA N 0046 0035 0128 0020 0919 0006 -1339Banco Topazio SA N 0075 0036 0153 0041 0855 0005 -2657Banco Gerador SA N 0091 0057 0144 0034 0869 0008 -173Banco Randon SA N 0124 0029 0332 0112 0799 0005 -4023Parana Banco SA N 0036 0021 0071 0012 0797 0008 -2452Banco Triangulo SA N 0053 0023 0115 0027 0839 0004 -4256Banco Guanabara SA N 0047 0020 0100 0019 0790 0004 -561Banco Cedula SA N 0066 0012 0362 0068 0747 0003 -10082Banco Cacique SA N 0063 0026 0231 0074 0789 0016 -1336Banco Luso Brasileiro SA N 0066 0026 0249 0053 0865 0005 -2985Banco Pecunia SA N 0034 0029 0041 0004 0784 0003 -7038Banco Zogbi SA N 0036 0027 0046 0006 0782 0002 -13399Banco Daycoval SA N 0054 0019 0131 0034 0784 0004 -607Banco John Deere SA N 0039 0015 0083 0018 0761 0003 -8316Banco AJ Renner SA N 0049 0024 0073 0013 0840 0006 -2621ABN Amro F 0041 0030 0066 0009 0890 0002 -6866Chase F 0059 0013 0173 0039 0801 0007 -2733LLoyds F 0038 0021 0055 0010 0821 0003 -5484BankBoston F 0040 0028 0063 0012 0888 0006 -1931Santander Brasil F 0056 0028 0107 0027 0866 0008 -1663Citibank F 0052 0022 0123 0023 0860 0003 -4735BNL F 0039 0028 0063 0014 0841 0005 -2966Sudameris F 0041 0036 0052 0006 0948 0011 -473Societe Generale F 0052 0020 0103 0022 0833 0006 -2579Europeu F 0038 0030 0049 0007 0856 0007 -2153ABC-Brasil F 0046 0029 0079 0014 0813 0003 -5935Dresdner F 0055 0014 0212 0052 0822 0005 -3913AGF Braseg F 0046 0027 0071 0014 0806 0005 -4276HSBC F 0053 0032 0101 0019 0949 0007 -784Deutsche F 0058 0013 0141 0029 0863 0005 -2878BNP Paribas F 0051 0030 0074 0012 0818 0004 -4118Barclays F 0066 0025 0130 0030 0805 0005 -4123Rabobank Int Brasil SA F 0049 0019 0109 0018 0844 0003 -4752B Nat de Paris Brasil SA F 0041 0019 0069 0018 0817 0005 -3368Ibibank SA - Banco Multiplo F 0046 0010 0095 0021 0781 0014 -1617Dresdner Bank - B Multiplo F 0093 0017 0282 0072 0782 0008 -2899Banco Westlb Do Brasil SA F 0044 0027 0069 0015 0850 0009 -1591Banco GE Capital SA F 0055 0026 0249 0046 0859 0009 -1489B Com Uruguai SA F 0071 0017 0228 0056 0845 0003 -46241S - State-owned bank N - National bank and F - Foreign bank

46

Table A9 Estimates of Lerner index and return to scale by bank - Model (4)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0054 0041 0078 0011 0939 0007 -873Banrisul S 0055 0040 0106 0014 0948 0008 -692BEC S 0046 0020 0072 0014 0846 0009 -1746BRB S 0057 0032 0094 0016 0959 0002 -1673BB S 0057 0038 0095 0014 0981 0006 -33Caixa Economica Federal S 0061 0049 0165 0021 1042 0003 1249B da Amazonia SA S 0056 0015 0117 0022 0844 0008 -2047B do Estado Do Para SA S 0059 0025 0103 0020 0936 0004 -1701B do E Do Maranhao SA S 0052 0044 0062 0005 0936 0014 -448B do E Do Piauı SA - Bep S 0054 0029 0147 0028 0865 0004 -3201B do Estado De Sergipe SA S 0061 0023 0168 0026 0947 0004 -1484Nossa Caixa - N Banco SA S 0054 0035 0085 0012 0977 0004 -547Bradesco N 0056 0036 0107 0017 0919 0004 -2123Itau N 0058 0030 0212 0032 0896 0003 -3979Safra N 0052 0035 0107 0013 0882 0003 -445Unibanco N 0052 0035 0082 0013 0892 0001 -7446Mercantil Do Brasil N 0057 0027 0093 0015 0942 0002 -2687BBM N 0075 0015 0294 0064 0784 0005 -4512BMC N 0050 0029 0074 0011 0846 0003 -472BMG N 0065 0016 0202 0047 0779 0003 -7192JMalucelli N 0048 0022 0071 0014 0720 0003 -8923PEBB N 0061 0016 0172 0044 0704 0008 -382SS N 0056 0033 0213 0037 0799 0007 -2875Sofisa N 0053 0020 0087 0019 0805 0002 -9731BIC N 0061 0033 0269 0048 0854 0005 -2768Schahin N 0053 0027 0205 0034 0836 0006 -2627Stock N 0081 0020 0265 0068 0820 0006 -3122Pine N 0052 0022 0118 0021 0808 0004 -5467Socopa N 0054 0026 0114 0016 0888 0003 -3785Intercap N 0057 0023 0203 0035 0815 0006 -2877Indusval N 0062 0029 0239 0043 0857 0005 -3085Bonsucesso N 0052 0019 0088 0018 0782 0005 -403Industrial do Brasil N 0050 0030 0076 0015 0809 0002 -9427Votorantim N 0051 0036 0102 0017 0817 0008 -2222Cacique N 0050 0023 0067 0013 0776 0005 -4659Inter Amex N 0052 0035 0064 0009 0837 0007 -2226Alfa N 0048 0039 0071 0007 0805 0002 -11484Rendimento N 0052 0022 0076 0013 0874 0008 -1571Bancoob N 0057 0045 0071 0011 0855 0003 -5022Original N 0094 0017 0278 0090 0730 0006 -4242Banco Intermedium SA N 0049 0027 0065 0014 0746 0006 -4054

Table A9 ndash Continue on next page

47

Table A9 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0019 0220 0050 0764 0003 -7516Banco BBN SA N 0050 0027 0072 0013 0819 0012 -1529B Cooperativo Sicredi SA N 0051 0041 0068 0006 0875 0005 -2551B Cooperativo do Brasil SA N 0053 0044 0134 0018 0910 0006 -151Banco Topazio SA N 0066 0035 0128 0036 0837 0005 -2981Banco Gerador SA N 0082 0045 0157 0043 0854 0007 -1967Banco Randon SA N 0106 0026 0312 0105 0786 0005 -4204Parana Banco SA N 0048 0025 0102 0018 0787 0008 -2768Banco Triangulo SA N 0054 0027 0088 0021 0834 0004 -427Banco Guanabara SA N 0051 0023 0161 0025 0780 0004 -5659Banco Cedula SA N 0069 0012 0360 0065 0735 0003 -1028Banco Cacique SA N 0073 0027 0240 0075 0786 0016 -1327Banco Luso Brasileiro SA N 0065 0026 0242 0047 0852 0004 -346Banco Pecunia SA N 0045 0037 0056 0006 0773 0003 -7139Banco Zogbi SA N 0048 0036 0064 0010 0779 0001 -15057Banco Daycoval SA N 0055 0022 0126 0030 0784 0004 -568Banco John Deere SA N 0056 0018 0125 0031 0757 0003 -8084Banco AJ Renner SA N 0051 0025 0077 0013 0829 0006 -2763ABN Amro F 0053 0038 0074 0013 0909 0002 -4803Chase F 0066 0014 0220 0046 0793 0008 -2711LLoyds F 0050 0026 0060 0011 0825 0003 -5323BankBoston F 0054 0038 0092 0018 0899 0006 -1734Santander Brasil F 0056 0033 0098 0019 0885 0007 -1529Citibank F 0059 0025 0145 0030 0872 0003 -421BNL F 0052 0039 0091 0018 0840 0006 -2854Sudameris F 0053 0046 0062 0005 0961 0011 -352Societe Generale F 0058 0023 0144 0028 0827 0006 -2968Europeu F 0052 0031 0069 0012 0849 0007 -23ABC-Brasil F 0051 0028 0091 0015 0815 0003 -6225Dresdner F 0078 0017 0271 0071 0816 0005 -339AGF Braseg F 0050 0030 0094 0015 0797 0004 -4873HSBC F 0057 0045 0116 0016 0966 0006 -562Deutsche F 0066 0013 0151 0034 0858 0004 -3316BNP Paribas F 0050 0036 0071 0010 0823 0005 -3772Barclays F 0057 0024 0102 0025 0777 0007 -3003Rabobank Int Brasil SA F 0057 0021 0157 0026 0842 0003 -5266B Nat de Paris Brasil SA F 0059 0023 0102 0030 0812 0006 -3387Ibibank SA - Banco Multiplo F 0056 0012 0100 0023 0781 0015 -148Dresdner Bank - B Multiplo F 0084 0016 0237 0064 0771 0008 -2798Banco Westlb Do Brasil SA F 0061 0033 0101 0025 0841 0010 -1646Banco GE Capital SA F 0063 0031 0238 0044 0853 0010 -1548B Com Uruguai SA F 0074 0020 0226 0056 0833 0003 -51921S - State-owned bank N - National bank and F - Foreign bank

48

Table A10 Estimates of Lerner index and return to scale by bank - Model (5)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0043 0093 0012 0940 0007 -834Banrisul S 0054 0041 0083 0009 0949 0008 -668BEC S 0046 0020 0075 0014 0846 0009 -1719BRB S 0058 0032 0121 0017 0960 0002 -1607BB S 0056 0037 0087 0010 0981 0006 -321Caixa Economica Federal S 0061 0050 0156 0019 1044 0003 1282B da Amazonia SA S 0057 0016 0115 0023 0843 0008 -2023B do Estado Do Para SA S 0059 0027 0102 0020 0938 0004 -1608B do E Do Maranhao SA S 0052 0042 0064 0006 0939 0015 -418B do E Do Piauı SA - Bep S 0054 0029 0138 0025 0866 0004 -3097B do Estado De Sergipe SA S 0059 0024 0136 0020 0949 0004 -1404Nossa Caixa - N Banco SA S 0055 0036 0088 0013 0979 0004 -494Bradesco N 0056 0037 0108 0016 0918 0004 -2108Itau N 0058 0031 0213 0033 0894 0003 -3968Safra N 0052 0036 0086 0010 0881 0003 -4388Unibanco N 0053 0037 0085 0013 0892 0001 -7433Mercantil Do Brasil N 0057 0027 0086 0012 0943 0002 -2619BBM N 0075 0015 0292 0063 0784 0005 -447BMC N 0050 0029 0077 0012 0846 0003 -4648BMG N 0067 0017 0220 0051 0777 0003 -7116JMalucelli N 0049 0022 0083 0016 0718 0003 -8879PEBB N 0060 0017 0176 0044 0704 0008 -3743SS N 0059 0032 0223 0041 0798 0007 -2847Sofisa N 0055 0021 0112 0022 0804 0002 -9624BIC N 0060 0032 0238 0041 0853 0005 -2725Schahin N 0055 0028 0228 0038 0836 0006 -2575Stock N 0082 0019 0267 0068 0821 0006 -3063Pine N 0052 0022 0096 0018 0808 0004 -5392Socopa N 0055 0027 0113 0016 0889 0003 -3694Intercap N 0060 0023 0210 0037 0814 0006 -2856Indusval N 0062 0029 0245 0044 0857 0005 -3023Bonsucesso N 0053 0020 0113 0022 0781 0005 -3999Industrial do Brasil N 0051 0030 0084 0016 0808 0002 -9274Votorantim N 0052 0037 0130 0022 0816 0008 -2227Cacique N 0049 0024 0065 0012 0775 0005 -4632Inter Amex N 0052 0034 0067 0011 0837 0007 -2236Alfa N 0047 0041 0056 0004 0804 0002 -11448Rendimento N 0053 0022 0079 0011 0874 0008 -1549Bancoob N 0056 0050 0064 0005 0856 0003 -4874Original N 0087 0018 0288 0093 0728 0006 -4259Banco Intermedium SA N 0055 0027 0078 0019 0744 0006 -4047

Table A10 ndash Continue on next page

49

Table A10 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0217 0048 0763 0003 -7417Banco BBN SA N 0051 0026 0075 0014 0820 0012 -1504B Cooperativo Sicredi SA N 0051 0040 0061 0005 0876 0005 -2499B Cooperativo do Brasil SA N 0054 0043 0136 0019 0912 0006 -1445Banco Topazio SA N 0061 0034 0109 0026 0838 0006 -2897Banco Gerador SA N 0073 0052 0124 0026 0855 0008 -1918Banco Randon SA N 0120 0024 0327 0114 0785 0005 -4153Parana Banco SA N 0048 0026 0106 0020 0786 0008 -2732Banco Triangulo SA N 0055 0027 0111 0022 0834 0004 -4227Banco Guanabara SA N 0052 0024 0153 0024 0779 0004 -5589Banco Cedula SA N 0069 0012 0339 0062 0734 0003 -10232Banco Cacique SA N 0076 0027 0246 0076 0785 0016 -1317Banco Luso Brasileiro SA N 0067 0027 0207 0047 0852 0004 -3379Banco Pecunia SA N 0046 0038 0054 0006 0773 0003 -71Banco Zogbi SA N 0047 0037 0061 0010 0778 0001 -14931Banco Daycoval SA N 0054 0022 0126 0026 0782 0004 -5661Banco John Deere SA N 0056 0018 0129 0031 0756 0003 -8043Banco AJ Renner SA N 0053 0025 0080 0015 0829 0006 -2716ABN Amro F 0053 0038 0074 0012 0908 0002 -4751Chase F 0067 0014 0225 0047 0792 0008 -2693LLoyds F 0049 0025 0064 0012 0824 0003 -5227BankBoston F 0054 0037 0096 0020 0899 0006 -1701Santander Brasil F 0057 0033 0103 0019 0884 0008 -1511Citibank F 0059 0026 0154 0028 0871 0003 -4204BNL F 0052 0037 0097 0020 0840 0006 -28Sudameris F 0052 0045 0058 0005 0962 0011 -334Societe Generale F 0060 0023 0151 0031 0827 0006 -2924Europeu F 0050 0032 0066 0012 0849 0007 -2263ABC-Brasil F 0051 0025 0079 0014 0814 0003 -617Dresdner F 0080 0017 0276 0073 0816 0005 -3374AGF Braseg F 0050 0031 0093 0015 0796 0004 -4812HSBC F 0057 0043 0093 0011 0966 0006 -541Deutsche F 0066 0013 0155 0035 0858 0004 -3244BNP Paribas F 0050 0035 0067 0008 0822 0005 -3775Barclays F 0056 0024 0113 0025 0778 0007 -305Rabobank Int Brasil SA F 0057 0021 0163 0027 0842 0003 -5208B Nat de Paris Brasil SA F 0058 0022 0100 0029 0812 0006 -3343Ibibank SA - Banco Multiplo F 0057 0012 0099 0023 0780 0015 -1478Dresdner Bank - B Multiplo F 0087 0016 0244 0068 0770 0008 -2768Banco Westlb Do Brasil SA F 0063 0034 0106 0026 0841 0010 -1625Banco GE Capital SA F 0064 0032 0247 0046 0853 0010 -1522B Com Uruguai SA F 0073 0019 0191 0049 0833 0003 -50981S - State-owned bank N - National bank and F - Foreign bank

50

Table A11 Estimates of Lerner index and return to scale by bank - Model (6)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0036 0096 0015 0939 0007 -855Banrisul S 0050 0035 0098 0014 0938 0008 -82BEC S 0041 0019 0067 0012 0855 0009 -1644BRB S 0053 0029 0124 0018 0956 0002 -1996BB S 0051 0032 0088 0013 0954 0006 -807Caixa Economica Federal S 0054 0040 0094 0012 1014 0003 475B da Amazonia SA S 0053 0015 0103 0022 0846 0008 -205B do Estado Do Para SA S 0051 0028 0074 0013 0943 0004 -1319B do E Do Maranhao SA S 0041 0031 0059 0008 0950 0014 -346B do E Do Piauı SA - Bep S 0042 0028 0084 0012 0879 0004 -2727B do Estado De Sergipe SA S 0052 0022 0153 0022 0953 0003 -1377Nossa Caixa - N Banco SA S 0047 0032 0081 0014 0969 0004 -74Bradesco N 0052 0032 0097 0019 0898 0004 -2645Itau N 0054 0027 0190 0031 0877 0003 -4452Safra N 0049 0032 0100 0015 0872 0003 -5056Unibanco N 0043 0032 0067 0010 0878 0001 -8666Mercantil Do Brasil N 0053 0026 0087 0017 0938 0002 -3104BBM N 0066 0013 0251 0056 0792 0005 -4556BMC N 0041 0026 0069 0011 0850 0003 -4582BMG N 0067 0016 0228 0057 0781 0003 -6611JMalucelli N 0051 0022 0089 0017 0725 0003 -9344PEBB N 0046 0015 0157 0039 0728 0008 -3313SS N 0058 0025 0230 0046 0801 0007 -292Sofisa N 0053 0020 0119 0025 0809 0002 -8846BIC N 0060 0029 0262 0049 0852 0005 -2697Schahin N 0049 0025 0229 0040 0843 0006 -2523Stock N 0081 0017 0284 0072 0836 0005 -2986Pine N 0049 0021 0112 0019 0812 0004 -5267Socopa N 0050 0026 0095 0015 0900 0003 -3515Intercap N 0055 0021 0196 0035 0828 0006 -2899Indusval N 0061 0029 0262 0049 0863 0005 -2762Bonsucesso N 0052 0019 0123 0026 0791 0005 -3885Industrial do Brasil N 0046 0027 0088 0015 0816 0002 -8698Votorantim N 0051 0027 0139 0027 0813 0007 -262Cacique N 0039 0022 0050 0009 0784 0005 -4707Inter Amex N 0045 0027 0064 0012 0843 0006 -2493Alfa N 0044 0033 0068 0009 0805 0002 -12111Rendimento N 0050 0022 0073 0010 0883 0008 -1543Bancoob N 0066 0055 0072 0007 0856 0003 -4559Original N 0098 0020 0294 0094 0735 0006 -4509Banco Intermedium SA N 0057 0024 0085 0022 0756 0006 -4324

Table A11 ndash Continue on next page

51

Table A11 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0061 0017 0195 0048 0777 0003 -7233Banco BBN SA N 0042 0023 0059 0012 0831 0011 -1529B Cooperativo Sicredi SA N 0048 0035 0066 0009 0879 0005 -2672B Cooperativo do Brasil SA N 0046 0034 0119 0017 0917 0006 -1439Banco Topazio SA N 0070 0031 0129 0036 0853 0005 -2776Banco Gerador SA N 0086 0057 0148 0034 0867 0007 -1825Banco Randon SA N 0126 0028 0331 0114 0799 0005 -4136Parana Banco SA N 0039 0023 0082 0015 0798 0008 -2556Banco Triangulo SA N 0052 0025 0116 0025 0840 0004 -4363Banco Guanabara SA N 0048 0021 0100 0019 0792 0004 -5683Banco Cedula SA N 0067 0013 0356 0067 0749 0002 -10205Banco Cacique SA N 0067 0026 0232 0073 0792 0015 -1356Banco Luso Brasileiro SA N 0065 0025 0237 0052 0864 0004 -3163Banco Pecunia SA N 0037 0029 0045 0006 0786 0003 -7158Banco Zogbi SA N 0037 0027 0045 0007 0785 0002 -13921Banco Daycoval SA N 0053 0020 0120 0031 0787 0003 -6088Banco John Deere SA N 0043 0017 0099 0022 0764 0003 -8346Banco AJ Renner SA N 0050 0025 0080 0013 0840 0006 -2706ABN Amro F 0043 0035 0067 0008 0894 0002 -6685Chase F 0059 0014 0189 0040 0803 0007 -2772LLoyds F 0039 0021 0055 0012 0824 0003 -5536BankBoston F 0044 0029 0075 0015 0890 0006 -1965Santander Brasil F 0054 0028 0107 0024 0871 0008 -1694Citibank F 0054 0023 0133 0026 0863 0003 -4787BNL F 0042 0028 0078 0018 0843 0005 -2998Sudameris F 0041 0036 0052 0006 0948 0010 -491Societe Generale F 0054 0020 0118 0025 0834 0006 -2716Europeu F 0038 0029 0049 0008 0856 0006 -2239ABC-Brasil F 0046 0028 0084 0014 0816 0003 -6111Dresdner F 0063 0015 0239 0061 0823 0005 -3888AGF Braseg F 0047 0027 0074 0014 0807 0004 -4477HSBC F 0054 0032 0109 0018 0950 0006 -823Deutsche F 0058 0013 0122 0028 0863 0004 -305BNP Paribas F 0051 0032 0070 0011 0822 0004 -4145Barclays F 0064 0024 0128 0029 0802 0005 -4051Rabobank Int Brasil SA F 0051 0019 0130 0021 0846 0003 -4992B Nat de Paris Brasil SA F 0043 0019 0070 0019 0819 0005 -3429Ibibank SA - Banco Multiplo F 0049 0010 0083 0020 0785 0013 -161Dresdner Bank - B Multiplo F 0087 0016 0261 0066 0783 0007 -2901Banco Westlb Do Brasil SA F 0051 0030 0082 0019 0850 0009 -1643Banco GE Capital SA F 0053 0028 0239 0044 0859 0009 -1544B Com Uruguai SA F 0071 0017 0217 0054 0845 0003 -48451S - State-owned bank N - National bank and F - Foreign bank

52

Seacuterie de Textos para Discussatildeo do Curso de Ciecircncias Econocircmicas ndash FACEUFG ndash TD [078]

EDITORIAL FACE ndash Faculdade de Administraccedilatildeo Ciecircncias Contaacutebeis e Ciecircncias Econocircmicas Curso de Ciecircncias Econocircmicas Direccedilatildeo FACE Prof Moiseacutes Ferreira da Cunha Vice-Direccedilatildeo FACE Profordf Andreacutea Freire de Lucena Coordenaccedilatildeo do Curso de Ciecircncias Econocircmicas Prof Tiago Camarinha Lopes NEPEC ndash Nuacutecleo de Estudos e Pesquisas Econocircmicas Coordenaccedilatildeo Prof Seacutergio Fornazier Meyrelles Filho SEacuteRIE DE TEXTOS PARA DISCUSSAtildeO DO CURSO DE CIEcircNCIAS ECONOcircMICAS DA UFG Coordenaccedilatildeo e Equipe de Editoraccedilatildeo Prof Sandro Eduardo Monsueto Adriana Moura Guimaratildees Matheus Henrique de Arauacutejo Dutra

Endereccedilo Campus Samambaia Preacutedio da FACE ndash Rodovia GoiacircniaNova Veneza km 0 ndash CEP 74690-900 Goiacircnia ndash GO Tel (62) 3521 ndash 1390 URL httpwwwfaceufgbreconomia Publicaccedilatildeo cujo objetivo eacute divulgar resultados de estudos que contam com a participaccedilatildeo de pesquisadores do NEPEC As opiniotildees contidas nesta publicaccedilatildeo satildeo de inteira responsabilidade do(s) autor(es) natildeo representando necessariamente o ponto de vista do NEPEC ou da FACEUFG Eacute permitida a reproduccedilatildeo desde que citada a fonte

Page 12: 1(3(& )$&( 8)* · The Dark Side of Prudential MeasuresI Paulo R. Scalco a, Benjamin M. Tabak1, Anderson M. Teixeira aFaculty of Management, Accounting and Economics, Federal University

Assuming that banks minimize the cost subject to technology specified by the production

function the Lagrangian for the minimization can be defined as

L = wrsquox + λ(Af(x Y T )minus 1) (6)

where w is a vector of input prices and the corresponding first order condition is

wj = minusλApartf(middot)partxj

j = 1 2 J (7)

Multiplying and dividing both sides by xj and f(middot) and rearranging terms we can

rewrite 7 as

wjxj = minusλAf(middot)partf(middot)partxj

xjf(middot)

= minusλAf(middot)partlnf(middot)partlnxj

j = 1 2 J (8)

If we take the sum of all inputs equation 8 becomes

C =Jsum

j=1

wjxj = minusλAf(middot)Jsum

j=1

partlnf(middot)partlnxj

rArr minusλA =C

f(middot)middot 1sumJ

j=1partlnf(middot)partlnxj

(9)

From the envelop Theorem we have that the marginal cost (MC) is partLpartYequiv MC =

λApartf(middot)partY

= 0

If we use equation 9 we can express it as

MC = minus C

f(middot)middot 1sumJ

j=1partlnf(middot)partlnxj

middot partf(middot)partY

partC

party

Y

Cequiv partlnC

partlny= minuspartf(middot)

partY

Y

f(middot)middot 1sumJ

j=1partlnf(middot)partlnxj

EC equivpartlnC

partlny= minuspartlnf(middot)

partlnYmiddot 1sumJ

j=1partlnf(middot)partlnxj

=partlnf(middot)partlnY

equiv EY (10)

Equation 10 states that the Cost Elasticity (EC) equals Product elasticity (EY ) which

can be calculated from the parameters of the distance input function (IDF) This result

10

is important because it means that we can substitute the term on the right side of the

equation 5 by product elasticity that is

RC =partlnf(middot)partlny

+ u+ v u ge 0 (11)

The advantage of estimating equation 11 rather than equation 5 is that we can estimate

mark-ups without the need for input and output prices that is we only need the information

on revenue and total cost of banks and the respective input quantities

In order to estimate the mark-up defined in equation 11 we assume that the transforma-

tion function takes a form of the translog type and apply the appropriate normalizations as

in Kumbhakar (2012) to express the transformation function in the form of an input input

function given by

lnx1 = α0 +Jminus1sumj=1

αjlnxj +1

2

Jminus1sumj=1

Jsumk=2

αjklnxjlnxk

+ αY lnY +1

2αY Y (lnY )2 +

Jminus1sumj=1

αjY lnxjlnY+ + αTT +1

2αTTT

2

+Jminus1sumj=1

αjT lnxjT + αY TT lnY

(12)

from which we can derive the product-elasticity as

EY equivpartlnx1partlnY

= αY + αY Y lnY +Jminus1sumj=1

αjY lnxj + αY TT (13)

where xj =xj

xJ j = 1 2 J minus 1

Replacing equation 13 in equation 11 we define our empirical equation as

RC = αY + αY Y lnY +Jminus1sumj=1

αjY lnxj + αY TT + u+ v (14)

As highlighted by Kumbhakar et al (2012) once that we are interested in estimating

the individual mark-up of each bank we need to focus only on 14 without the need to

11

estimate the full distance input function defined by 12 Besides since the compound error

term (ε = u + v) is the same in the SFA models we use the Maximum Likelihood method

to estimate the model (14) For this it is necessary to assume a hypothesis about the

distribution of the two components

We follow the literature and assume that the random error component v is independent

and identically distributed with a normal distribution zero mean and constant variance

that is v sim N(0 σ2v) On the other hand for the nonnegative component u representing

the banksrsquo mark-up we extend the models of by Coccorese (2014) and Das amp Kumbhakar

(2016) and separating the deviation from the competitive frontier in a deterministic part

which is a function of a vector of explanatory variables Zrsquo of the purely stochastic part

Following the SFA literature we estimate the deterministic component of mark-up si-

multaneously with the parameters of the 14 in the same way as Lopez et al (2018) This

procedure reduces possibility of bias of the estimates when the stochastic term includes

determinants of deviations Thus the mark-up (u) in 14 can be represented by

u = Zrsquoδ + ω (15)

where ω is the stochastic component of mark-up and is defined by a truncated normal

distribution with zero mean and constant variance σ2ω such that ω ge -Zrsquoδ Therefore the

mark-up (u) follows a distribution u sim N+(Zrsquoδ σ2ω)

Combining equations 14 and 15 the model we estimate is as follows

RC = αY + αY Y lnY +Jminus1sumj=1

αjY lnxj + αY TT + Zrsquoδ + ωit + v (16)

In order to verify the impact of prudential measures on the degree of competition we

have included the measures Cerutti et al (2016) as determinants of mark-up in addition to

a measure of concentration represented by the HHI calculated from the total assets of the

banks

12

33 Market Power

To measure the degree of power of each bank we use the traditional measure defined by

Lerner (1934)

L =P minusMC

P (17)

if L = 0 P = MC and for any value L gt 0 P gt MC In the limit L = 1

The connection between the SFA model (equation 16) and the Lerner index is done

rearranging the equation 5 Omitting the error term (v) for simplification we can rewrite

equation 5 as

P middot YC

partlnY

partlnCminus 1 = u

partlnY

partlnCmiddot (18)

Considering that partlnYpartlnC

= (partYpartC

)(CY

) we have

P minusMC

MC=

u

EC

middot (19)

Equation 19 corresponds to an alternative definition of mark-up called θ where the

distance between price and marginal cost is expressed as a fraction of the latter In addition

since the function input distance is dual the cost function we can substitute EC for EY in

equation 19 and after estimating equation 16 and obtain estimates of the mark-up (u) the

estimation of market power can be obtained by replacing the values estimated in equation 19

as follow

θ equiv P minusMC

MC=

u

αY + αY Y lnY +sumJminus1

j=1 αjY ln xj + αY TT (20)

This estimate can be used to obtain the traditional measure of Lerner index as in

equation 16 employing the following formula

L =θ

1 + θ (21)

13

34 Returns to Scale

Finally we can use the estimates of equation 16 to obtain other characteristics of tech-

nology such as the return to scale and the scale bias Formally EC = partlnCpartlnY

= (partCpartY

)(YC) =

MCAC where AC represents the average cost This means that the return to scale is

inversely related to cost elasticity that is RTS = 1EC If EC = 1 we will have constant re-

turns to scale if EC lt 1 we will have increasing returns (economies of scale) and if (EC gt 1)

we will have decreasing returns (diseconomies of scale) Again using the duality condition

between IDF and the cost function we can use the estimates of equation 16 to calculate the

return to scale and scale bias Respectively

RTS =1

αY + αY Y lnY +sumJminus1

j=1 αjY ln xj + αY TT(22)

and

Scale Bias = αY T (23)

If the scale bias parameter (αY T ) is statistically significant and greater than zero this

suggests that technological change is reducing economies of scale over time

4 Database and empirical approach

The database used can be divided into two parts The first part includes the information

of all FI authorized to operate in Brazil by the Brazilian Central Bank (BCB) This infor-

mation is available on the BCBrsquos website through the IFdata system and contains detailed

information on the balance sheet income statement and credit portfolio of all IFs In ad-

dition data are available on an individual basis as well as on financial conglomerates and

prudential conglomerates1 For this work we use the concept of financial conglomerates In

1The BCB defines as a financial conglomerate the group of financial entities directly or unrelated byshareholding or by effective operational control characterized by standard management or by operatingin the market under the same brand or commercial name (Circular note no 1273 from Brazilian CentralBank) The concept of a prudential conglomerate in turn encompasses a broader universe of entities suchas consortium administrators payment institutions and companies that purchase credit operations (Officedocument no 1273 from Brazilian Central Bank)

14

December 2018 there was information on a total of 2753 IFs between commercial banks

or multiple banks with and without commercial portfolios credit cooperatives development

banks among others arranged quarterly since the first quarter of 2000

Our sample was restricted only to commercial banks or multiple banks with commercial

portfolios and savings banks Banks with loan portfolio equal zero and did not contain

information for at least three consecutive years were excluded In the same way we excluded

banks with observations that fell bellow 1st percentile of the sample for each one of variables

used in the model or above 99th percentile only for the dependent variable RC = TRC

Furthermore we chose to work with the data on a semi-annual basis (June and December

base dates) because inconsistencies we have found in some quarterly accounting data After

applying all these criteria our sample was restricted to a panel with only 83 banks between

the first half of 2000 and the second half of 2014 totaling 1818 observations2 In terms

of representativeness our sample with only 83 banks corresponded to 794 of the total

assets and 817 of the credit portfolio of the entire SFN in December 2014

The second database was obtained from Cerutti et al (2016) In this unprecedented

database the focus is on the change and intensity in the use of a set of prudential instruments

classified as micro-prudential and macro-prudential3 They collect the data for 64 countries

with a quarterly period covering the period between the first quarter of 2000 and the fourth

quarter of 2014 In the database in addition to a considerable number of countries the

information collected by the authors has the objective of mapping the intensity and the

change occurring quarterly in each of the prudential instruments

The original instruments of the database are the capital requirement capital buffer

interbank exposure limit concentration limit maximum loan amount commonly known as

Loan-to-value and reserve requirement

Concerning the capital requirement instrument we can understand it as an imposition

2Although the BCB has information until the second half of 2018 the database with prudential variablesavailable in the article by Cerutti et al (2016) goes only until the second half of 2014

3The database of Cerutti et al (2016) is a considerable advance to the available prudential data collectedso far in Lim et al (2011) and Cerutti et al (2017a) In both studies the focus is on only identifying whetheror not the country has implemented the appropriate prudential instrument

15

for a compulsory deposit with the BCB of demand deposits of financial institutions Capital

buffer serves as a buffer against countercyclical capital whose purpose is to protect the

banking sector in periods of excessive credit growth which is associated with increased

systemic risk On the other hand in periods of credit constraint the buffering capital may

decrease and thus not affecting the performance of the real side of the economy

The interbank exposure limit is a liability limiter maintained by the banking sector as a

whole or by a particular bank By the concentration limit we mean a procedure that limits

the fraction of assets concentrated to a limited number of borrowers

Loan-to-value is a restriction to the borrower or activity It is the imposition of maximum

amounts of loans on the value of collateral or even maximum amounts of indebtedness to the

income of the borrower Finally we can interpret a reserve requirement as an instrument

whose purpose is to limit the multiplication of money in the economy through the imposition

of compulsory deposits with the Central Bank

The prudential capital buffer instrument was broken down into the following categories

general capital requirement real estate credit consumer credit and others We decompose

the reserve requirement instrument into two sub-indices local domestic currency and foreign

currency

Information on intensity and change in prudential tooling is collected as follows by the

researchers If the financial regulator tightens the instrument in question in a specific quarter

the index assumes a value of +1 On the other hand if the same instrument undergoes

relaxation or loosening the value of minus1

Finally the index receives a value of zero if there was no change in the prudential

instrument in that quarter4 According to Cerutti et al (2016) in addition to capturing the

intensity of change in such a prudential policy this type of coding incorporates qualitative

characteristics of the policy that are lost by the type of dichotomous coding (1 if implemented

and 0 otherwise) Despite the simplicity of the coding used it is imperfectly able to measure

direction in policy change Not all the instruments available on the original basis were used

4For more details on how the base was built see Cerutti et al (2016)

16

because some measures were not implemented by the BCB Examples are the capital buffer

for real estate credit the concentration limit of banks to sectors or borrowers and the limit

on interbank exposure

Moreover due to the low variability in most measures and the semi-annual structure

of the database obtained in the BCB we chose to use the cumulative indexes of variation

According to Cerutti et al (2016) the purpose of this cumulative index is to capture the

level of tightness or looseness over a given period Finally to capture an overall measure of

prudential instruments we aggregate all variations of prudential instruments into a single

aggregate instrument called cumulative prudential Table A5 attached illustrates the

change and the intensity of the prudential instruments implemented by Brazil according to

the data collected by Cerutti et al (2016)

Our empirical strategy consists in estimating the equation 16 by Maximum Likelihood in

a two-stage procedure wherein the first stage we obtain the estimates of the parameters of

the equation and in the second stage we calculate the estimates of uit using the conditional

mean estimator of Jondrow et al (1982)

After obtaining the estimates of u and RC equiv EY we use equation 20 to calculate the

estimated values of θ which are used to calculat e the Lerner Index (L) according to

equation 21

We estimated six models wif different sets of deterministic variables (prudential measures)

to control the parameter of market power (uit) In the first model we did not add any

controls In the second we include only the HHI In the third specification we include the

capital buffer and capital requirement The fourth model uses only the loan-to-value In the

fifth model we include reserve requirements in both foreign and local currency and in the

last model we include the cumulative prudential measure which is the sum of the changes

in all other prudential measures

The inclusion of prudential variables in a separated way was necessary because they

represent only the tightening or the loosening of the prudential instrument Therefore they

do not represent the change in the magnitude of the prudential instrument As such the

variables have little variability and the high correlation generated between them causes

17

severe problems in the estimation process by maximum likelihood In general the tests with

the aggregate models did not reach the convergence of likelihood function even using different

strategies for initial values or optimization algorithm and when the optimization reaches an

optimal state the estimates were inconsistent For this reason we chose to estimate simpler

models including prudential variables separately or at most two when they represented

similar measures

Besides two critical events occurred in the second half of 2008 and significantly changed

the structure and dynamics of the banking industry in Brazil The outbreak of the subprime

crisis in the US and the acquisition of Unibanco by Itau in Brazil5 Itau-Unibanco has become

the largest bank in Brazil (Itau-Unibanco) accounting for 191 of total SFN assets and

184 of the total loan portfolio in the second half of 2008

We can observe the increase in market concentration in Figure 1 which represents HHI

concentration indices for total assets and total credit portfolio The increase in concentra-

tion levels of the banking industry on the other hand also coincides temporarily with the

outbreak of the GFC and an increase in rigidity in prudential instruments after the onset of

the crisis6

These events result in a high correlation between the variables and making it more

difficult to isolate the effects of each variable on the parameter of market power In this

way we also chose to estimate an HHI-only model as the control variable of market power

(uit)

Figure 1 Evolution of the Herfindahl Index (HHI) over time using credit and total assets

for the Brazilian banking system

We summarize the description of the variables that we will use in the estimation of

5Unibanco was the sixth largest Brazilian bank in the first half of 2008 accounting for 59 of total SFNassets and 6 of the total loan portfolio Also Itau was the third largest bank with 118 of SFN and119 of the loan portfolio

6Cubillas amp Suarez (2018) find the same result as the banksrsquo market power increased shortly after theGFC

18

equation 16 and how we calculate them in Table 1 All variables included in equation 16

except for trend prudential variables an HHI are in the logarithms form

Table 1 Variables used to IDF estimatation

5 Empirical Results

We present the results of the models in Table 2 Initially focusing on the interpretation

of the parameters of the input-distance function we verified that the size of the IF credit

portfolio (lnY ) has a negative sign but it was significant only for models 1 4 and 5 This

result implies that the larger the portfolio size the lower the revenue-cost ratio of the FI

Table 2 Results of IDF estimation

The coefficients of Staff costs (lnx1) and volume of funding (lnx2) were also negative

and significant in all models Thus the higher the staff costs and the higher the funding

volume the lower the cost-to-cost ratio of the FIs The trend variable as established by

equation 23 represents the scale bias and the negative sign would indicate that technological

change would increase economies of scale over time however no estimate was significant

51 Impact of Prudential Measures on Mark-up

The evaluation of the variables that determine the mark-up parameter (u) shows that

all of them are statistically significant and positive The SFA model is not linear in these

parameters Therefore the value of the coefficients does not represent the effect of the

magnitude of changes in the variables on the mark-up (their elasticities) However we can

estimate their marginal effects We present them for each variable in Figure 2

19

Figure 2 Marginal effects of HHI and prudential instruments (Capital Buffer Capital

RequirementLTV Reserve Requirement (Foreign) Reserve Requirement (domestic) and

cumulative prud) on themark-upucomponent

The positive sign of HHI in model 2 means that the more concentrated the banking

industry is the higher the market power of FIs This result is in line with that established by

the traditional structure-conduct-performance paradigm (Schmalensee 1989) However as

can be seen in Figure 1 the increase in the concentration index coincides with the tightening

of the prudential measures stemming from the GFC In this sense we can not say whether

this is the real effect of the increase in market concentration on the market power of FIs or

whether it is affected by the tightening of prudential measures

If we focus on prudential instruments the results for capital buffers and the capital

requirement (model 3) indicate that a tightening in these variables - whose purpose is to

increase banksrsquo capital reserve during positive shocks in the economy - has a detrimental

effect on competition market since they raise the IF mark-ups This effect happens because

this prudential measure influences the smoothing of the credit supply cycle

The same results are present for the loan-to-value variable (model 4) In general this

measure sets limits on the leverage of mortgages and other securities and a tightening in

ltv is effective in controlling possible booms in the real estate market by reducing real estate

prices and ultimately reducing the excess volatility of the economy ((Zhang amp Zoli 2016

Ely et al 2019) According to the result found the higher the limits the greater the market

power of the FIs

With respect to reserve requirements both in foreign and local currency - credit limits

directly in foreign currency and domestic currency respectively - the results (model 5) also

demonstrate a detrimental effect on competition since the tightening in such measures also

implies an increase mark-up of IFs In the model 6 where we introduce the aggregate

prudential measure the result found is similar to the others that is the higher the tightness

(in general) in the prudential measures of the financial system the higher the market power

of FIs

20

Unfortunately since prudential variables represent only a measure of tightening or loos-

ening of prudential policy and not its magnitude we can not accurately assess the impact

of these variables on the mark-up The marginal effects represented in Figure 2 give us only

an idea of how such variables affected the estimated mark-ups

However in general we can say that the positive signs of the estimates mean that the

higher the tightness in these prudential policies the greater the mark-up and consequently

the higher the market power of the FIs Therefore we find a perverse effect on industry

competition and probably a loss of borrowers welfare

Our results are in accordance with the evidence that the increase in prudential rigor has

negative impacts mainly on the supply of credit (Lim et al 2011 Claessens 2015 Aiyar

et al 2014 Gropp et al 2018 Cerutti et al 2017a) Ceteris paribus the increase of IF

mark-ups would be a fully expected effect As highlighted by Claessens amp Laeven (2004) any

policy that restricts the activity of banks and hinders their operation has negative impacts

on market competition

52 Estimation of Lerner indices

Regarding the mark-up estimation the values reported at the bottom of Table 2 corre-

spond to the distance between the observed revenue-cost ratio and its competitive boundary

that is the component u

To interpret the mark-up however we will focus the discussion on the estimates of

Lerner index (equation 21) because they have a more unambiguous economic meaning We

summarize the results of Lerner index for general estimates by type of control and for each

model in Table 3 and the Figure 3 shows their frequency distributions We should emphasize

that these estimates are individuals that is we obtain the estimates for each IF and at each

period t The tables in Annex (A6 to A11) summarizes the estimates of the Lerner index

and the returns to scale for each IF in the sample

Table 3 Estimates of Lerner index general and by type of control

21

Figure 3 Frequency distribution of Lerner indexes for each model and density estimation

Kernel by typeof control

For all six models all mark-up estimates were within the theoretical range of 0 and 1

with the minimum value being 0009 (model 2) and the maximum value 0362 (model 3) In

general the estimated average value was between 0051 (model 2) and 0058 (models 1 and

5) which means that on average Brazilian banks have a mark-up between 51 and 58

These values are slightly different when we separate the estimates by type of control

In the case of state-owned banks the average mark-up was between 0047 (model 2)

and 0057 (model 1) These values are lower in all the estimated models to the values

of (privates) national banks (0052-0057) and foreign banks (0050-0061) However the

medians of estimated values for state-owned banks were higher than the national and foreign

private banks in all models

For comparison purposes these values are considerably lower than the value (016) esti-

mated for Brazil in Coccorese (2014) We believe that this difference is due to the model and

sample used Coccorese (2014) has estimated the dual version of model (equation 5) and

as highlighted by Kumbhakar et al (2012) the use of accounting information to calculate

input prices can generate problems when they are endogenous

Regarding the sample Coccorese (2014) also used a different period from ours (1994 to

2012) and a more significant number of IFs in the sample (189 against 83 used by us) The

main difference here is in the number of IF - 106 in total In this respect it is essential to

note that these FIs constitute small FIs and in the second half of 2014 they held only 37

of total SFN assets and 24 of the total credit portfolio

We tried to replicated the Coccoresersquo sample but in preliminary tests we have found great

difficulties in the models estimations in particular at convergence of likelihood function

We observed these small IFs had in several situations extremely high values for the revenue-

cost ratio or excessively low for the inputs used (personnel expenses and funding) as well

as other problems such as launch errors (positive values in variables of expenditure for

example) and missings For these reasons and considering that such IFs represented only a

22

small fraction of Brazilian credit market we decided to exclude them from the sample

However It is worth highlight as they are small FIs the vast majority operate in particular

segments of the credit market and probably assume a more risk-taking behavior Considering

that they will work with a segment of credit claimants with rdquoworse scoresrdquo than borrowers

using large FIs we expect that the mark-up of these IFs will be higher We can observe

(part of) this phenomenon in Figure 4 where we represent the estimates of the Lerner index

(vertical axis) against market share of total assets (horizontal axis) of our sample and it is

quite evident the smaller banks have the higher mark-ups Therefore as our sample exclude

a large proportion of these small IFs it is natural that Coccorese (2014)rsquo results larger than

ours

Figure 4 Lerner indexes according to the size (market share) of banksrsquo assets

Regardless of this our results seem to adhere well to reality because if we look at Figure

5 we note that the Lerner indices show a significant increase from the second semester of

2008 These results are in agreement with the results of Cubillas amp Suarez (2018) Besides

in Figure 6 Lerner indexes are separated by type of control and we can observe that with

some exceptions the market power has always been lower for state-owned banks especially

considering the period after the GFC

Figure 5 Average Lerner indices for each model between 2000q2 and 2014q4

Figure 6 Average Lerner indices estimated for public private national and private

foreign banks between2000q2 and 2014q4

23

53 Estimation of Returns to Scale

Finally Table 4 and Figure 7 summarize the estimates of returns to scale We highlight

that the average of the returns to the scale of the Brazilian FIs is very close if we comparer

the six estimated models (between 0848 and 0851) Although the values are close to unity

in all IFs we reject the hypotheses of constant returns to the scale that is RTS = 1 therefore

IFs have diseconomies of scale

Table 4 Estimates of returns to scale by control type and general

When we separate estimates by type of control the estimates of state-owned banks

(0937-0944) are higher than national (0824-0829) and foreign banks (0841-0844) This

result means that the scale problem is a problem common to all FIs in Brazil Moreover

state-owned banks runs closer to the constant return region than national and foreign banks

Figure 7 Frequency distribution of the returns to scale indexes for each model and

density estimationKernel by type of control

6 Final Considerations

Considering that the banking industry underwent a significant restructuring in recent

years caused by several mergers and acquisitions in the sector as well as by a severe financial

crisis started in mid 2007 and potentialized in 2008 understand the behavior of market

power and as a (partial) set of prudential instruments influencing this dynamic has become

paramount Thus in an innovative way this paper proposed the use of stochastic frontier

analysis techniques to measure market power for the Brazilian banking industry and to test

if such prudential measures had an impact on the competitive dynamics of sector

The estimated average Lerner index was between 51 and 58 for Brazilian FIs How-

ever when controlled by the type of control we find that state-owned banks have slightly

24

lower estimates than national and foreign banks respectively Also estimates of returns to

scale allow us to infer that FIs operate with diseconomies of scale

Concerning the impact of prudential measures on the market power of FIs our results

generally suggest that tightening of prudential measures have a positive impact on bank

mark-up and consequently have detrimental effects on competition in industry banking

Finally in future research it will be possible to better understand the influence of some

prudential measures in the banking market through the study by type of segment or line of

credit

25

References

Aiyar S Calomiris C W amp Wieladek T (2014) Does macro-prudential regulation leak ev-

idence from a uk policy experiment Journal of Money Credit and Banking 46 181ndash214

URL httpsonlinelibrarywileycomdoiabs101111jmcb12086 doi101111jmcb12086

arXivhttpsonlinelibrarywileycomdoipdf101111jmcb12086

Altunbas Y Binici M amp Gambacorta L (2018) Macroprudential policy and bank risk Journal of

International Money and Finance 81 203ndash220 doihttpsdoiorg101016jjimonfin201711

012

Araujo L A D d amp Jorge Neto P d M (2007) Risco e competicao bancaria no Brasil Revista Brasileira

de Economia 61 175ndash200 URL httpwwwscielobrscielophpscript=sci_abstractamppid=

S0034-71402007000200003amplng=enampnrm=isoamptlng=pt doi101590S0034-71402007000200003

Auer R amp Ongena S (2019) The countercyclical capital buffer and the composition of bank lending

Available at SSRN 3345189

Ayyagari M Beck T amp Peria M (2018) The micro impact of macroprudential policies Firm-level

evidence IMF Working Paper

Barbosa K de Paula Rocha B amp Salazar F (2015) Assessing competition in the banking indus-

try A multi-product approach Journal of Banking amp Finance 50 340ndash362 URL httpwww

sciencedirectcomsciencearticlepiiS0378426614001642 doi101016jjbankfin201405

003

Belaisch A (2003) Do Brazilian Banks Compete SSRN Scholarly Paper ID 879189 Social Science Research

Network Rochester NY URL httpspapersssrncomabstract=879189

Bikker J A Shaffer S amp Spierdijk L K (2012) Assessing competition with the panzar-rosse model

The role of scale costs and equilibrium Economics Letters 94 1025ndash1044

Bresnahan T F (1982) The oligopoly solution concept is identified Economics Letters 10 87ndash92 URL

httpdxdoiorg1010160165-1765(82)90121-5 doi1010160165-1765(82)90121-5

Bresnahan T F amp Reiss P (1991) Entry and competition in concentrated markets Journal of Political

Economy 99 977ndash1009

Camors C amp Peydro J (2014) Macroprudential and monetary policy Loan-level evidence from reserve

requirement Mimeo Universitat Pompeu Fabra URL httpspdfssemanticscholarorgd508

61639bb4e7453a7a39184edf9b0c1e7016a6pdf

Cardoso M Azevedo P F amp Barbosa K (2016) Concorrencia no setor bancario brasileiro bancos

individuais versus conglomerados bancarios (pp 113ndash146) URL httprepositorioipeagovbr

handle110586650

Cerutti E Claessens S amp Laeven L (2017a) The use and effectiveness of macroprudential policies New

26

evidence Journal of Financial Stability 28 203ndash224 doihttpsdoiorg101016jjfs201510

004

Cerutti E Correa R Fiorentino E amp Segalla E (2016) Changes in prudential policy instruments ndash a

new cross-country database IMF Working Paper WP1610

Cerutti E Dagher J amp DellrsquoAriccia G (2017b) Housing finance and real-estate booms A cross-country

perspective Journal of Housing Economics 38 1ndash13

Claessens S (2015) An overview of macroprudential policy tools Annual Re-

view of Financial Economics 7 397ndash422 URL httpsdoiorg101146

annurev-financial-111914-041807 doi101146annurev-financial-111914-041807

arXivhttpsdoiorg101146annurev-financial-111914-041807

Claessens S Ghosh S R amp Mihet R (2013) Macro-prudential policies to mitigate financial system

vulnerabilities Journal of International Money and Finance 39 153ndash185 doihttpsdoiorg10

1016jjimonfin201306023

Claessens S amp Laeven L (2004) What drives bank competition some international evidence Journal

of Money Credit and Banking 36 563ndash583 URL httpwwwjstororgstable3838954

Coccorese P (2014) Estimating the Lerner index for the banking industry a stochastic frontier approach

Applied Financial Economics 24 73ndash88 URL httpdxdoiorg101080096031072013866202

doi101080096031072013866202

Coelho C A De Mello J M amp Rezende L (2013) Do Public Banks Compete with Private

Banks Evidence from Concentrated Local Markets in Brazil Journal of Money Credit and Bank-

ing 45 1581ndash1615 URL httponlinelibrarywileycomdoi101111jmcb12063abstract

doi101111jmcb12063

Cubillas E amp Suarez N (2018) Bank market power and lending during the global financial crisis Jour-

nal of International Money and Finance 89 1ndash22 URL httpwwwsciencedirectcomscience

articlepiiS0261560618303048 doihttpsdoiorg101016jjimonfin201808003

Das A amp Kumbhakar S C (2016) Markup and efficiency of Indian banks an input distance func-

tion approach Empirical Economics (pp 1ndash31) URL httplinkspringercomarticle101007

s00181-015-1062-4 doi101007s00181-015-1062-4

Ely R Tabak B amp Teixeira A (2019) Heterogeneous effects of the implementation of macroprudential

policies on bank risk MPRA Paper No94546

Freixas X Laeven L amp Peydro J-L (2015) Systemic Risk Crises and Macroprudential Regulation

Mit Press URL httpwwwjstororgstablejctt17kk82g

Galati G amp Moessner R (2013) Macroprudential policy ndash a literature review Jour-

nal of Economic Surveys 27 846ndash878 URL httpsonlinelibrarywileycom

27

doiabs101111j1467-6419201200729x doi101111j1467-6419201200729x

arXivhttpsonlinelibrarywileycomdoipdf101111j1467-6419201200729x

Gropp R Mosk T Ongena S amp Wix C (2018) Banks Response to Higher Cap-

ital Requirements Evidence from a Quasi-Natural Experiment The Review of Finan-

cial Studies 32 266ndash299 URL httpsdoiorg101093rfshhy052 doi101093rfshhy052

arXivhttpoupprodsislanrfsarticle-pdf32126627185080hhy052pdf

Hyde C E amp Perloff J M (1995) Can market power be estimated Review of Industrial Organization 10

465ndash485 URL httplinkspringercomarticle101007BF01024231 doi101007BF01024231

Igan D amp Kang H (2011) Do loan-to-value and debt-to-income limits work evidence from korea IMF

Working Papers (pp 1ndash34)

Jimenez G Ongena S Peydro J-L amp Saurina J (2017) Macroprudential policy countercyclical bank

capital buffers and credit supply Evidence from the spanish dynamic provisioning experiments Journal

of Political Economy 125 2126ndash2177 URL httpsdoiorg101086694289 doi101086694289

arXivhttpsdoiorg101086694289

Jondrow J Knox Lovell C A Materov I S amp Schmidt P (1982) On the estimation of technical

inefficiency in the stochastic frontier production function model Journal of Econometrics 19 233ndash

238 URL httpwwwsciencedirectcomsciencearticlepii0304407682900045 doi101016

0304-4076(82)90004-5

Klingelhoger J amp Sun R (2019) Macruprudential policy central banks and financial stability Evidence

from china Journal of International Money and Finance 93 19ndash41 URL httpsdoiorg101016

jjimonfin201812015

Kumbhakar S C (2012) Specification and estimation of primal production models European Journal

of Operational Research 217 509ndash518 URL httpwwwsciencedirectcomsciencearticlepii

S0377221711008939 doi101016jejor201109043

Kumbhakar S C Baardsen S amp Lien G (2012) A New Method for Estimating Market Power with

an Application to Norwegian Sawmilling Review of Industrial Organization 40 109ndash129 URL http

linkspringercomarticle101007s11151-012-9339-7 doi101007s11151-012-9339-7

Lerner A P (1934) The Concept of Monopoly and the Measurement of Monopoly Power The Review

of Economic Studies 1 157ndash175 URL httprestudoxfordjournalsorglookupdoi102307

2967480 doi1023072967480

Lim C H Costa A Columba F Kongsamut P Otani A Saiyid M Wezel T amp Wu X (2011)

Macroprudential policy what instruments and how to use them lessons from country experiences IMF

working papers (pp 1ndash85)

Lopez R A He X amp Azzam A (2018) Stochastic frontier estimation of market

28

power in the food industries Journal of Agricultural Economics 69 3ndash17 URL https

onlinelibrarywileycomdoiabs1011111477-955212219 doi1011111477-955212219

arXivhttpsonlinelibrarywileycomdoipdf1011111477-955212219

Lucinda C R (2010) Competition in the Brazilian loan market an empirical analysis Estudos Economicos

(Sao Paulo) 40 831ndash858 URL httpwwwscielobrscielophpscript=sci_abstractamppid=

S0101-41612010000400004amplng=enampnrm=isoamptlng=en doi101590S0101-41612010000400004

Moreno R (2011) Policymaking from arsquomacroprudentialrsquoperspective in emerging market economies

Nakane M I (2002) A test of competition in brazilian banking Estudos Economicos (Sao Paulo) 32

203ndash224 URL httpwwwrevistasuspbreearticleview117799

Panzar J C amp Rosse J N (1987) Testing for rdquomonopolyrdquo equilibrium The Journal of Industrial

Economics 35 443ndash456 URL httpwwwjstororgstable2098582 doi1023072098582

Richter B Schularick M amp Shim I (2019) The costs of macroprudential policy Journal of Inter-

national Economics 118 263 ndash 282 URL httpwwwsciencedirectcomsciencearticlepii

S0022199618302617 doihttpsdoiorg101016jjinteco201811011

Schmalensee R (1989) Chapter 16 inter-industry studies of structure and performance In Hand-

book of Industrial Organization (pp 951ndash1009) Elsevier BV URL httpdxdoiorg101016

s1573-448x(89)02004-2 doi101016s1573-448x(89)02004-2

Silva M S d () Avaliacao do processo de concentracao-competicao no setor bancario brasileiro URL

httpwwwbcbgovbrpecwpsporttd377pdf

Tabak B amp Gomes G (2015) The impact of market power at bank level in risk-taking The brazilian

case International Review of Financial Analysis 40 154ndash165

Tabak B M Fazio D M amp Cajueiro D O (2012) The relationship between banking market competition

and risk-taking Do size and capitalization matter 36 3366ndash3381 URL httpwwwsciencedirect

comsciencearticlepiiS0378426612002026 doi101016jjbankfin201207022

Wong T Fong T Li K-f amp Choi H (2011) Loan-to-value ratio as a macroprudential tool-hong kongrsquos

experience and cross-country evidence

Zhang L amp Zoli E (2016) Leaning against the wind Macroprudential policy in asia Journal of Asian

Economics 42 33ndash52

29

Figure 1 Evolution of the Herfindahl Index (HHI) over time using credit and total assets for theBrazilian banking system

30

Figure 2 Marginal effects of HHI and prudential instruments (Capital Buffer Capital RequirementLTV Reserve Requirement (Foreign) Reserve Requirement (domestic) and cumulative prud) on the

mark-up u component

31

Figure 3 Frequency distribution of Lerner indexes for each model and density estimation Kernel by typeof control

32

Figure 4 Lerner indexes according to the size (market share) of banksrsquo assets

33

Figure 5 Average Lerner indices for each model between 2000q2 and 2014q4

34

Figure 6 Average Lerner indices estimated for public private national and private foreign banks between2000q2 and 2014q4

35

Figure 7 Frequency distribution of the returns to scale indexes for each model and density estimationKernel by type of control

36

Table 1 Variables used to IDF estimatation

Variabel Description SourceBasic variables

TR Total Revenue = Gross Insterest Income (a) + Bank-ing Service Fee Income (d1) + Banking Fee Income(d2) + Other Operating Income (d7)

Inc statIFData

TC Total Cost = Interest Expenses (b) + Personnel Ex-penses (d3) + Administrative Expenses (d4) + TaxExpenses (d5) + Other Operating Expenses (d8)

Inc statIFData

Y Loan Lease and Other Credit Operations by RiskLevel

SummaryIFData

x1 Personnel Expenses (d3) Inc statIFDatax2 Funding (e) LiabilitiesIFDatax3 Equity (j) LiabilitiesIFData

Model variabelslnRC Log of Revenue-Cost ratiolnY Log of total loanlnx1 Log of personnel expenses and equity ratio (x1x3)lnx2 Log of funding and equity ratio (x2x3)T Time

Prudential variables - Deterministic mark-up parametersHHIt HHIt =

sumS2it where Sit

2 is market share of totalasset of bank i on time t

Inc statIFData

cb cumulative change of capital buffer Cerutti et al (2016)cr cumulative change of capital requirement Cerutti et al (2016)ltv cumulative change of loan-to-value Cerutti et al (2016)

rr foreign cumulative change of reserve requirement (foreigncurrency)

Cerutti et al (2016)

rr local cumulative change of reserve requirement (domesticcurrency)

Cerutti et al (2016)

37

Table 2 Results of IDF estimation

Parameters VariablesEstimates

Model Model Model Model Model Model(1) (2) (3) (4) (5) (6)

Parametros da funcao insumo distanciaαY Y lnY -0013 -0003 -0004 -0012 -0011 -0005

(000) (000) (000) (000) (000) (000)α1Y lnx1 -0096 -0095 -0094 -0094 -0096 -0090

(001) (001) (001) (001) (001) (001)α2Y lnx2 -0019 -0022 -0022 -0019 -0020 -0021

(001) (001) (001) (001) (001) (001)αY T T -0000 -0000 -0000 -0000 -0000 -0000

(000) (000) (000) (000) (000) (000)αY const 1153 1010 1035 1134 1129 1057

(005) (007) (005) (005) (005) (006)

Deterministic Mark-up parametersδ1 HHI 764157

(12270)δ1 Capital

Buffer7586(065)

δ2 CapitalReq

4696(160)

δ1 Loan-to-value38511(671)

δ1 ResR(foreign)10730(433)

δ2 ResR(local)2869(126)

δ1 Cum Prud3237(020)

δ0 const minus10601minus10194minus5306 minus9866 minus8577 minus4993(032) (2064) (316) (079) (119) (122)

Distribution of u and vσ2u 2840 1418 1620 2643 2441 1593σ2v 0118 0121 0120 0118 0118 0120λ 2402 1172 1354 2233 2065 1325Log Lik 887404 922033 918606 896019 891991 907817

EstimatesEstimates of Mark-up (u)Avg 0075 0065 0068 0074 0075 00691st quartile 0052 0038 0051 0051 0051 0044Median 0062 0048 0060 0060 0061 00543st quartile 0080 0074 0079 0079 0079 0075std-dev 0053 0054 0053 0053 0054 0054

Note p lt 010 p lt 005 and p lt 001

38

Table 3 Estimates of Lerner index general and by type of control

EstimatesModel Model Model Model Model Model

(1) (2) (3) (4) (5) (6)Mark-up (L) generalAverage 0058 0051 0053 0057 0058 0053std-dev 0032 0034 0034 0032 0032 00331st quartile 0043 0031 0034 0041 0042 0036Median 0051 0039 0044 0050 0050 00453st quartile 0063 0060 0059 0063 0063 0060Mark-up (L) State-owned banksAverage 0057 0047 0049 0056 0056 0050std-dev 0018 0017 0017 0018 0016 00161st quartile 0047 0035 0038 0045 0046 0040Median 0054 0041 0046 0053 0053 00463st quartile 0064 0056 0056 0064 0063 0057Mark-up (L) National banksAverage 0057 0052 0054 0057 0057 0054std-dev 0034 0038 0038 0035 0035 00371st quartile 0041 0030 0033 0040 0041 0035Median 0050 0038 0043 0048 0049 00443st quartile 0061 0061 0060 0061 0062 0060Mark-up (L) Foreign banksAverage 0061 0050 0053 0059 0060 0054std-dev 0034 0033 0032 0034 0034 00321st quartile 0042 0031 0034 0041 0042 0036Median 0052 0040 0044 0051 0051 00453st quartile 0068 0059 0060 0066 0066 0061

Table 4 Estimates of returns to scale by control type and general

ModelState-owned

banksNational

banksForeignbanks

General std-dev Min Max

1 0944 0824 0842 0848 0073 0665 11242 0940 0829 0843 0851 0066 0690 10733 0938 0827 0842 0849 0066 0689 10764 0941 0824 0842 0848 0071 0671 11115 0942 0824 0841 0848 0072 0669 11136 0937 0829 0844 0850 0065 0692 1073

39

Appendix A Attachment Tables

Table A5 Cumulative change on Prudential Measures intensity

TimeCapitalBuffer 2

(cb)

CapitalReq(cr)

Loan-to-Value(ltv)

Reserve Reqlocal curr

(RR local)

Reserve Reqforeign cur

(RR foreign)

CumulativePrudential 3

(Cum Prud)2000q2 -1 0 0 0 -2 -32000q4 -1 0 0 0 -2 -32001q2 -1 0 0 0 -2 -32001q4 0 0 0 0 -1 -12002q2 0 0 0 0 0 02002q4 2 0 0 0 2 42003q2 0 0 0 0 3 32003q4 0 0 0 0 2 22004q2 0 0 0 0 2 22004q4 0 0 0 0 2 22005q2 0 0 0 0 2 22005q4 0 0 0 0 2 22006q2 0 0 0 0 2 22006q4 0 0 0 0 2 22007q2 2 0 0 0 2 42007q4 2 0 0 0 2 42008q2 2 0 0 0 2 42008q4 2 0 0 0 1 32009q2 2 0 0 0 0 22009q4 2 0 0 0 -1 12010q2 2 0 0 0 1 32010q4 3 0 0 0 3 62011q2 3 0 0 1 3 72011q4 4 0 0 2 3 92012q2 3 1 0 2 3 92012q4 3 1 0 1 2 72013q2 3 2 0 0 2 72013q4 3 2 1 0 2 82014q2 3 2 1 0 2 82014q4 2 2 1 0 3 82Sum of capital buffer and others 3Aggregate measure (It is the sum of the change of all other instrument)

40

Table A6 Estimates of Lerner index and return to scale by bank - Model (1)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0042 0082 0009 0940 0007 -85Banrisul S 0055 0041 0084 0009 0952 0008 -635BEC S 0048 0021 0077 0016 0844 0009 -1756BRB S 0058 0033 0100 0015 0961 0003 -1533BB S 0058 0039 0098 0012 0990 0006 -173Caixa Economica Federal S 0063 0051 0174 0022 1052 0004 1458B da Amazonia SA S 0057 0016 0124 0023 0844 0008 -2028B do Estado Do Para SA S 0061 0026 0110 0022 0936 0004 -1764B do Est do Maranhao SA S 0055 0046 0065 0006 0935 0014 -455B do Est do Piauı SA - Bep S 0057 0030 0155 0029 0862 0004 -326B do Estado De Sergipe SA S 0061 0024 0135 0022 0947 0004 -1453Nossa Caixa - N Banco SA S 0057 0036 0090 0013 0981 0004 -444Bradesco N 0056 0038 0114 0015 0925 0004 -1945Itau N 0059 0031 0220 0033 0901 0003 -3797Safra N 0053 0037 0085 0009 0885 0003 -4215Unibanco N 0055 0037 0088 0014 0897 0001 -7054Mercantil Do Brasil N 0057 0027 0077 0011 0945 0002 -2527BBM N 0076 0016 0300 0065 0783 0005 -4464BMC N 0052 0030 0079 0012 0845 0003 -4703BMG N 0065 0017 0208 0045 0779 0003 -729JMalucelli N 0047 0022 0069 0013 0718 0003 -8765PEBB N 0065 0017 0181 0047 0698 0008 -3914SS N 0057 0034 0220 0037 0799 0007 -2839Sofisa N 0054 0021 0092 0020 0804 0002 -9903BIC N 0060 0034 0236 0040 0855 0005 -276Schahin N 0056 0028 0214 0035 0835 0006 -262Stock N 0081 0020 0267 0067 0817 0006 -3107Pine N 0052 0022 0108 0019 0808 0004 -545Socopa N 0056 0027 0120 0017 0886 0003 -3806Intercap N 0060 0023 0212 0037 0812 0007 -2851Indusval N 0062 0030 0246 0043 0857 0005 -3139Bonsucesso N 0052 0020 0092 0018 0779 0005 -4033Industrial do Brasil N 0051 0031 0081 0016 0807 0002 -952Votorantim N 0052 0037 0107 0017 0819 0009 -2117Cacique N 0053 0024 0071 0014 0774 0005 -4621Inter Amex N 0055 0037 0068 0010 0837 0008 -2158Alfa N 0048 0041 0059 0005 0806 0002 -11303Rendimento N 0053 0022 0080 0012 0872 0008 -1562Bancoob N 0052 0046 0056 0003 0856 0003 -5061Original N 0085 0017 0279 0090 0729 0007 -4163Banco Intermedium SA N 0052 0028 0070 0015 0743 0006 -3973

Table A6 ndash Continue on next page

41

Table A6 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0225 0049 0761 0003 -7509Banco BBN SA N 0053 0027 0077 0014 0817 0012 -1509B Cooperativo Sicredi SA N 0052 0043 0062 0005 0875 0005 -2477B Cooperativo do Brasil SA N 0056 0046 0142 0020 0910 0006 -1479Banco Topazio SA N 0060 0035 0110 0027 0834 0006 -2966Banco Gerador SA N 0069 0045 0122 0028 0852 0008 -1968Banco Randon SA N 0109 0023 0320 0109 0783 0005 -4158Parana Banco SA N 0050 0026 0108 0020 0784 0008 -2799Banco Triangulo SA N 0055 0028 0091 0020 0833 0004 -4201Banco Guanabara SA N 0052 0024 0169 0025 0777 0004 -5588Banco Cedula SA N 0068 0012 0339 0061 0731 0003 -10236Banco Cacique SA N 0077 0028 0248 0077 0785 0016 -1309B Luso Brasileiro SA N 0065 0027 0208 0043 0849 0004 -349Banco Pecunia SA N 0047 0039 0060 0006 0770 0003 -7086Banco Zogbi SA N 0051 0038 0067 0011 0778 0001 -15193Banco Daycoval SA N 0054 0023 0131 0026 0783 0004 -5522B John Deere SA N 0059 0018 0133 0033 0756 0003 -7955Banco AJ Renner SA N 0053 0025 0081 0015 0827 0006 -2742ABN Amro F 0056 0039 0079 0014 0914 0002 -427Chase F 0068 0014 0228 0049 0790 0008 -2678LLoyds F 0053 0027 0064 0012 0825 0003 -5159BankBoston F 0057 0040 0099 0020 0902 0006 -1638Santander Brasil F 0057 0034 0097 0017 0890 0008 -146Citibank F 0059 0026 0153 0028 0875 0003 -4039BNL F 0055 0041 0097 0019 0840 0006 -2767Sudameris F 0056 0048 0065 0005 0966 0012 -297Societe Generale F 0060 0024 0153 0031 0826 0006 -299Europeu F 0054 0032 0073 0013 0848 0007 -2287ABC-Brasil F 0052 0025 0082 0014 0815 0003 -6207Dresdner F 0083 0017 0280 0074 0815 0006 -3234AGF Braseg F 0051 0031 0100 0016 0794 0004 -4923HSBC F 0057 0046 0092 0010 0971 0006 -466Deutsche F 0068 0013 0160 0036 0857 0004 -3335BNP Paribas F 0050 0037 0068 0007 0824 0005 -3665Barclays F 0052 0024 0089 0021 0771 0008 -2787Rabobank Int Brasil SA F 0058 0022 0166 0028 0842 0003 -5284B Nat de Paris Br SA F 0063 0023 0109 0033 0811 0006 -3331Ibibank SA - Banco Multiplo F 0059 0012 0106 0024 0781 0015 -1441Dresdner Bank - B Multiplo F 0086 0016 0244 0068 0768 0008 -2746Banco Westlb Do Brasil SA F 0064 0034 0108 0027 0839 0010 -1626Banco GE Capital SA F 0067 0032 0247 0047 0852 0010 -1527B Com Uruguai SA F 0072 0020 0192 0049 0830 0003 -52281S - State-owned bank N - National bank and F - Foreign bank

42

Table A7 Estimates of Lerner index and return to scale by bank - Model (2)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0049 0032 0085 0016 0944 0008 -716Banrisul S 0049 0032 0106 0017 0939 0008 -75BEC S 0032 0016 0046 0008 0860 0009 -1489BRB S 0049 0030 0112 0017 0961 0002 -1681BB S 0049 0032 0091 0016 0948 0006 -845Caixa Economica Federal S 0052 0034 0081 0014 1012 0003 382B da Amazonia SA S 0053 0015 0140 0028 0847 0008 -1922B do Estado Do Para SA S 0046 0029 0063 0009 0952 0005 -963B do Est do Maranhao SA S 0036 0029 0045 0005 0963 0016 -235B do Est do Piauı SA - Bep S 0036 0023 0071 0011 0888 0005 -2314B do Estado De Sergipe SA S 0050 0020 0155 0024 0962 0004 -1043Nossa Caixa - N Banco SA S 0039 0027 0074 0011 0972 0005 -601Bradesco N 0050 0028 0116 0023 0890 0004 -2618Itau N 0052 0024 0222 0037 0869 0003 -4269Safra N 0046 0028 0100 0017 0867 0003 -5042Unibanco N 0035 0028 0054 0007 0873 0001 -8511Mercantil Do Brasil N 0051 0029 0093 0019 0941 0002 -2837BBM N 0063 0012 0213 0048 0790 0005 -4494BMC N 0034 0023 0049 0007 0851 0003 -4266BMG N 0065 0015 0233 0057 0776 0004 -6135JMalucelli N 0052 0018 0080 0016 0720 0003 -9566PEBB N 0037 0014 0108 0025 0732 0009 -3086SS N 0056 0024 0236 0046 0797 0007 -2849Sofisa N 0052 0018 0107 0028 0808 0002 -8115BIC N 0057 0026 0259 0050 0850 0006 -2531Schahin N 0047 0022 0225 0041 0845 0007 -2359Stock N 0078 0017 0287 0071 0843 0006 -2782Pine N 0048 0018 0114 0023 0811 0004 -4973Socopa N 0050 0022 0136 0024 0908 0003 -3089Intercap N 0051 0019 0133 0031 0832 0006 -2759Indusval N 0061 0023 0267 0052 0866 0006 -2437Bonsucesso N 0050 0017 0109 0026 0791 0006 -3655Industrial do Brasil N 0044 0024 0079 0015 0816 0002 -8095Votorantim N 0048 0025 0120 0026 0807 0007 -2721Cacique N 0033 0020 0039 0006 0782 0005 -4597Inter Amex N 0035 0025 0045 0007 0844 0006 -2419Alfa N 0042 0029 0069 0013 0801 0002 -12139Rendimento N 0049 0019 0077 0015 0889 0008 -1394Bancoob N 0065 0057 0073 0006 0855 0003 -4199Original N 0099 0019 0299 0096 0732 0006 -4473Banco Intermedium SA N 0062 0032 0081 0019 0754 0006 -4393

Table A7 ndash Continue on next page

43

Table A7 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0059 0016 0239 0051 0778 0003 -6944Banco BBN SA N 0035 0020 0053 0009 0834 0011 -1466B Cooperativo Sicredi SA N 0045 0032 0070 0011 0881 0005 -2581B Cooperativo do Brasil SA N 0045 0029 0147 0025 0922 0006 -1274Banco Topazio SA N 0076 0043 0138 0038 0861 0005 -2569Banco Gerador SA N 0089 0054 0153 0037 0874 0008 -1645Banco Randon SA N 0122 0029 0335 0113 0803 0005 -388Parana Banco SA N 0033 0020 0062 0011 0800 0009 -234Banco Triangulo SA N 0052 0022 0105 0027 0841 0004 -4148Banco Guanabara SA N 0046 0019 0091 0020 0793 0004 -5561Banco Cedula SA N 0062 0011 0359 0067 0749 0003 -9911Banco Cacique SA N 0049 0020 0157 0048 0791 0016 -1315Banco Luso Brasileiro SA N 0066 0022 0241 0055 0870 0005 -2851Banco Pecunia SA N 0032 0027 0036 0003 0787 0003 -6876Banco Zogbi SA N 0032 0026 0037 0005 0784 0002 -13006Banco Daycoval SA N 0053 0019 0139 0036 0784 0004 -6065Banco John Deere SA N 0035 0016 0073 0016 0761 0003 -8278Banco AJ Renner SA N 0047 0021 0083 0015 0844 0006 -2553ABN Amro F 0035 0027 0047 0006 0889 0002 -7231Chase F 0054 0013 0157 0033 0804 0007 -2702LLoyds F 0033 0020 0043 0008 0821 0003 -5429BankBoston F 0036 0026 0060 0011 0888 0006 -1917Santander Brasil F 0055 0025 0115 0030 0864 0008 -1647Citibank F 0051 0020 0132 0025 0860 0003 -4735BNL F 0036 0026 0062 0012 0843 0005 -2959Sudameris F 0036 0031 0040 0004 0949 0011 -468Societe Generale F 0051 0018 0104 0024 0835 0007 -2454Europeu F 0034 0025 0041 0006 0859 0007 -2076ABC-Brasil F 0043 0026 0086 0015 0813 0003 -5797Dresdner F 0050 0014 0190 0046 0824 0004 -3975AGF Braseg F 0044 0024 0068 0014 0810 0005 -4109HSBC F 0052 0031 0110 0021 0948 0007 -776Deutsche F 0054 0012 0166 0030 0866 0005 -2754BNP Paribas F 0049 0028 0073 0013 0818 0004 -4092Barclays F 0065 0028 0121 0027 0811 0005 -4028Rabobank Int Brasil SA F 0047 0017 0102 0017 0845 0003 -4605B Nat de Paris Brasil SA F 0036 0017 0054 0013 0819 0005 -3304Ibibank SA - Banco Multiplo F 0043 0010 0114 0025 0782 0013 -1623Dresdner Bank - B Multiplo F 0096 0015 0270 0076 0785 0007 -2924Banco Westlb Do Brasil SA F 0041 0026 0062 0013 0853 0010 -154Banco GE Capital SA F 0054 0026 0253 0049 0862 0010 -1444B Com Uruguai SA F 0070 0017 0220 0058 0849 0003 -4471S - State-owned bank N - National bank and F - Foreign bank

44

Table A8 Estimates of Lerner index and return to scale by bank - Model (3)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0034 0090 0016 0941 0008 -772Banrisul S 0051 0032 0108 0016 0938 0008 -772BEC S 0035 0018 0051 0009 0856 0009 -1562BRB S 0052 0032 0122 0018 0958 0002 -1793BB S 0052 0035 0085 0015 0951 0006 -809Caixa Economica Federal S 0054 0039 0098 0014 1015 0003 465B da Amazonia SA S 0053 0014 0113 0024 0845 0008 -1977B do Estado Do Para SA S 0049 0028 0071 0010 0947 0005 -1117B do E do Maranhao SA S 0041 0032 0059 0008 0957 0015 -285B do E do Piauı SA - Bep S 0041 0028 0086 0014 0882 0005 -2518B do Estado De Sergipe SA S 0052 0021 0145 0022 0957 0004 -1182Nossa Caixa - N Banco SA S 0045 0029 0081 0015 0971 0005 -651Bradesco N 0052 0029 0101 0021 0893 0004 -2614Itau N 0054 0025 0203 0034 0872 0003 -4328Safra N 0048 0029 0093 0015 0869 0003 -5008Unibanco N 0041 0028 0067 0010 0874 0001 -8514Mercantil Do Brasil N 0053 0026 0095 0018 0939 0002 -29BBM N 0067 0013 0250 0056 0789 0005 -4501BMC N 0038 0024 0069 0010 0849 0003 -4408BMG N 0067 0015 0233 0058 0776 0004 -6374JMalucelli N 0052 0022 0087 0016 0720 0003 -9426PEBB N 0045 0014 0158 0040 0727 0009 -3192SS N 0057 0025 0231 0046 0797 0007 -287Sofisa N 0053 0018 0116 0026 0807 0002 -8444BIC N 0059 0030 0250 0049 0850 0006 -2596Schahin N 0048 0023 0220 0038 0842 0007 -2424Stock N 0083 0017 0304 0077 0838 0006 -2873Pine N 0049 0019 0105 0020 0810 0004 -5103Socopa N 0050 0026 0111 0018 0903 0003 -3253Intercap N 0055 0020 0196 0036 0828 0006 -283Indusval N 0062 0029 0282 0052 0863 0005 -2588Bonsucesso N 0051 0017 0118 0025 0789 0006 -3771Industrial do Brasil N 0046 0025 0086 0015 0815 0002 -8341Votorantim N 0050 0027 0128 0027 0809 0007 -2664Cacique N 0037 0020 0048 0009 0781 0005 -4645Inter Amex N 0039 0026 0058 0009 0842 0006 -2468Alfa N 0044 0031 0072 0011 0801 0002 -11998Rendimento N 0049 0022 0078 0011 0885 0008 -1463Bancoob N 0066 0057 0077 0007 0854 0003 -4342Original N 0102 0019 0301 0096 0730 0006 -4526Banco Intermedium SA N 0059 0027 0083 0020 0752 0006 -4354

Table A8 ndash Continue on next page

45

Table A8 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0017 0217 0054 0776 0003 -7084Banco BBN SA N 0038 0022 0058 0010 0831 0011 -1492B Cooperativo Sicredi SA N 0047 0035 0071 0010 0879 0005 -259B Cooperativo do Brasil SA N 0046 0035 0128 0020 0919 0006 -1339Banco Topazio SA N 0075 0036 0153 0041 0855 0005 -2657Banco Gerador SA N 0091 0057 0144 0034 0869 0008 -173Banco Randon SA N 0124 0029 0332 0112 0799 0005 -4023Parana Banco SA N 0036 0021 0071 0012 0797 0008 -2452Banco Triangulo SA N 0053 0023 0115 0027 0839 0004 -4256Banco Guanabara SA N 0047 0020 0100 0019 0790 0004 -561Banco Cedula SA N 0066 0012 0362 0068 0747 0003 -10082Banco Cacique SA N 0063 0026 0231 0074 0789 0016 -1336Banco Luso Brasileiro SA N 0066 0026 0249 0053 0865 0005 -2985Banco Pecunia SA N 0034 0029 0041 0004 0784 0003 -7038Banco Zogbi SA N 0036 0027 0046 0006 0782 0002 -13399Banco Daycoval SA N 0054 0019 0131 0034 0784 0004 -607Banco John Deere SA N 0039 0015 0083 0018 0761 0003 -8316Banco AJ Renner SA N 0049 0024 0073 0013 0840 0006 -2621ABN Amro F 0041 0030 0066 0009 0890 0002 -6866Chase F 0059 0013 0173 0039 0801 0007 -2733LLoyds F 0038 0021 0055 0010 0821 0003 -5484BankBoston F 0040 0028 0063 0012 0888 0006 -1931Santander Brasil F 0056 0028 0107 0027 0866 0008 -1663Citibank F 0052 0022 0123 0023 0860 0003 -4735BNL F 0039 0028 0063 0014 0841 0005 -2966Sudameris F 0041 0036 0052 0006 0948 0011 -473Societe Generale F 0052 0020 0103 0022 0833 0006 -2579Europeu F 0038 0030 0049 0007 0856 0007 -2153ABC-Brasil F 0046 0029 0079 0014 0813 0003 -5935Dresdner F 0055 0014 0212 0052 0822 0005 -3913AGF Braseg F 0046 0027 0071 0014 0806 0005 -4276HSBC F 0053 0032 0101 0019 0949 0007 -784Deutsche F 0058 0013 0141 0029 0863 0005 -2878BNP Paribas F 0051 0030 0074 0012 0818 0004 -4118Barclays F 0066 0025 0130 0030 0805 0005 -4123Rabobank Int Brasil SA F 0049 0019 0109 0018 0844 0003 -4752B Nat de Paris Brasil SA F 0041 0019 0069 0018 0817 0005 -3368Ibibank SA - Banco Multiplo F 0046 0010 0095 0021 0781 0014 -1617Dresdner Bank - B Multiplo F 0093 0017 0282 0072 0782 0008 -2899Banco Westlb Do Brasil SA F 0044 0027 0069 0015 0850 0009 -1591Banco GE Capital SA F 0055 0026 0249 0046 0859 0009 -1489B Com Uruguai SA F 0071 0017 0228 0056 0845 0003 -46241S - State-owned bank N - National bank and F - Foreign bank

46

Table A9 Estimates of Lerner index and return to scale by bank - Model (4)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0054 0041 0078 0011 0939 0007 -873Banrisul S 0055 0040 0106 0014 0948 0008 -692BEC S 0046 0020 0072 0014 0846 0009 -1746BRB S 0057 0032 0094 0016 0959 0002 -1673BB S 0057 0038 0095 0014 0981 0006 -33Caixa Economica Federal S 0061 0049 0165 0021 1042 0003 1249B da Amazonia SA S 0056 0015 0117 0022 0844 0008 -2047B do Estado Do Para SA S 0059 0025 0103 0020 0936 0004 -1701B do E Do Maranhao SA S 0052 0044 0062 0005 0936 0014 -448B do E Do Piauı SA - Bep S 0054 0029 0147 0028 0865 0004 -3201B do Estado De Sergipe SA S 0061 0023 0168 0026 0947 0004 -1484Nossa Caixa - N Banco SA S 0054 0035 0085 0012 0977 0004 -547Bradesco N 0056 0036 0107 0017 0919 0004 -2123Itau N 0058 0030 0212 0032 0896 0003 -3979Safra N 0052 0035 0107 0013 0882 0003 -445Unibanco N 0052 0035 0082 0013 0892 0001 -7446Mercantil Do Brasil N 0057 0027 0093 0015 0942 0002 -2687BBM N 0075 0015 0294 0064 0784 0005 -4512BMC N 0050 0029 0074 0011 0846 0003 -472BMG N 0065 0016 0202 0047 0779 0003 -7192JMalucelli N 0048 0022 0071 0014 0720 0003 -8923PEBB N 0061 0016 0172 0044 0704 0008 -382SS N 0056 0033 0213 0037 0799 0007 -2875Sofisa N 0053 0020 0087 0019 0805 0002 -9731BIC N 0061 0033 0269 0048 0854 0005 -2768Schahin N 0053 0027 0205 0034 0836 0006 -2627Stock N 0081 0020 0265 0068 0820 0006 -3122Pine N 0052 0022 0118 0021 0808 0004 -5467Socopa N 0054 0026 0114 0016 0888 0003 -3785Intercap N 0057 0023 0203 0035 0815 0006 -2877Indusval N 0062 0029 0239 0043 0857 0005 -3085Bonsucesso N 0052 0019 0088 0018 0782 0005 -403Industrial do Brasil N 0050 0030 0076 0015 0809 0002 -9427Votorantim N 0051 0036 0102 0017 0817 0008 -2222Cacique N 0050 0023 0067 0013 0776 0005 -4659Inter Amex N 0052 0035 0064 0009 0837 0007 -2226Alfa N 0048 0039 0071 0007 0805 0002 -11484Rendimento N 0052 0022 0076 0013 0874 0008 -1571Bancoob N 0057 0045 0071 0011 0855 0003 -5022Original N 0094 0017 0278 0090 0730 0006 -4242Banco Intermedium SA N 0049 0027 0065 0014 0746 0006 -4054

Table A9 ndash Continue on next page

47

Table A9 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0019 0220 0050 0764 0003 -7516Banco BBN SA N 0050 0027 0072 0013 0819 0012 -1529B Cooperativo Sicredi SA N 0051 0041 0068 0006 0875 0005 -2551B Cooperativo do Brasil SA N 0053 0044 0134 0018 0910 0006 -151Banco Topazio SA N 0066 0035 0128 0036 0837 0005 -2981Banco Gerador SA N 0082 0045 0157 0043 0854 0007 -1967Banco Randon SA N 0106 0026 0312 0105 0786 0005 -4204Parana Banco SA N 0048 0025 0102 0018 0787 0008 -2768Banco Triangulo SA N 0054 0027 0088 0021 0834 0004 -427Banco Guanabara SA N 0051 0023 0161 0025 0780 0004 -5659Banco Cedula SA N 0069 0012 0360 0065 0735 0003 -1028Banco Cacique SA N 0073 0027 0240 0075 0786 0016 -1327Banco Luso Brasileiro SA N 0065 0026 0242 0047 0852 0004 -346Banco Pecunia SA N 0045 0037 0056 0006 0773 0003 -7139Banco Zogbi SA N 0048 0036 0064 0010 0779 0001 -15057Banco Daycoval SA N 0055 0022 0126 0030 0784 0004 -568Banco John Deere SA N 0056 0018 0125 0031 0757 0003 -8084Banco AJ Renner SA N 0051 0025 0077 0013 0829 0006 -2763ABN Amro F 0053 0038 0074 0013 0909 0002 -4803Chase F 0066 0014 0220 0046 0793 0008 -2711LLoyds F 0050 0026 0060 0011 0825 0003 -5323BankBoston F 0054 0038 0092 0018 0899 0006 -1734Santander Brasil F 0056 0033 0098 0019 0885 0007 -1529Citibank F 0059 0025 0145 0030 0872 0003 -421BNL F 0052 0039 0091 0018 0840 0006 -2854Sudameris F 0053 0046 0062 0005 0961 0011 -352Societe Generale F 0058 0023 0144 0028 0827 0006 -2968Europeu F 0052 0031 0069 0012 0849 0007 -23ABC-Brasil F 0051 0028 0091 0015 0815 0003 -6225Dresdner F 0078 0017 0271 0071 0816 0005 -339AGF Braseg F 0050 0030 0094 0015 0797 0004 -4873HSBC F 0057 0045 0116 0016 0966 0006 -562Deutsche F 0066 0013 0151 0034 0858 0004 -3316BNP Paribas F 0050 0036 0071 0010 0823 0005 -3772Barclays F 0057 0024 0102 0025 0777 0007 -3003Rabobank Int Brasil SA F 0057 0021 0157 0026 0842 0003 -5266B Nat de Paris Brasil SA F 0059 0023 0102 0030 0812 0006 -3387Ibibank SA - Banco Multiplo F 0056 0012 0100 0023 0781 0015 -148Dresdner Bank - B Multiplo F 0084 0016 0237 0064 0771 0008 -2798Banco Westlb Do Brasil SA F 0061 0033 0101 0025 0841 0010 -1646Banco GE Capital SA F 0063 0031 0238 0044 0853 0010 -1548B Com Uruguai SA F 0074 0020 0226 0056 0833 0003 -51921S - State-owned bank N - National bank and F - Foreign bank

48

Table A10 Estimates of Lerner index and return to scale by bank - Model (5)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0043 0093 0012 0940 0007 -834Banrisul S 0054 0041 0083 0009 0949 0008 -668BEC S 0046 0020 0075 0014 0846 0009 -1719BRB S 0058 0032 0121 0017 0960 0002 -1607BB S 0056 0037 0087 0010 0981 0006 -321Caixa Economica Federal S 0061 0050 0156 0019 1044 0003 1282B da Amazonia SA S 0057 0016 0115 0023 0843 0008 -2023B do Estado Do Para SA S 0059 0027 0102 0020 0938 0004 -1608B do E Do Maranhao SA S 0052 0042 0064 0006 0939 0015 -418B do E Do Piauı SA - Bep S 0054 0029 0138 0025 0866 0004 -3097B do Estado De Sergipe SA S 0059 0024 0136 0020 0949 0004 -1404Nossa Caixa - N Banco SA S 0055 0036 0088 0013 0979 0004 -494Bradesco N 0056 0037 0108 0016 0918 0004 -2108Itau N 0058 0031 0213 0033 0894 0003 -3968Safra N 0052 0036 0086 0010 0881 0003 -4388Unibanco N 0053 0037 0085 0013 0892 0001 -7433Mercantil Do Brasil N 0057 0027 0086 0012 0943 0002 -2619BBM N 0075 0015 0292 0063 0784 0005 -447BMC N 0050 0029 0077 0012 0846 0003 -4648BMG N 0067 0017 0220 0051 0777 0003 -7116JMalucelli N 0049 0022 0083 0016 0718 0003 -8879PEBB N 0060 0017 0176 0044 0704 0008 -3743SS N 0059 0032 0223 0041 0798 0007 -2847Sofisa N 0055 0021 0112 0022 0804 0002 -9624BIC N 0060 0032 0238 0041 0853 0005 -2725Schahin N 0055 0028 0228 0038 0836 0006 -2575Stock N 0082 0019 0267 0068 0821 0006 -3063Pine N 0052 0022 0096 0018 0808 0004 -5392Socopa N 0055 0027 0113 0016 0889 0003 -3694Intercap N 0060 0023 0210 0037 0814 0006 -2856Indusval N 0062 0029 0245 0044 0857 0005 -3023Bonsucesso N 0053 0020 0113 0022 0781 0005 -3999Industrial do Brasil N 0051 0030 0084 0016 0808 0002 -9274Votorantim N 0052 0037 0130 0022 0816 0008 -2227Cacique N 0049 0024 0065 0012 0775 0005 -4632Inter Amex N 0052 0034 0067 0011 0837 0007 -2236Alfa N 0047 0041 0056 0004 0804 0002 -11448Rendimento N 0053 0022 0079 0011 0874 0008 -1549Bancoob N 0056 0050 0064 0005 0856 0003 -4874Original N 0087 0018 0288 0093 0728 0006 -4259Banco Intermedium SA N 0055 0027 0078 0019 0744 0006 -4047

Table A10 ndash Continue on next page

49

Table A10 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0217 0048 0763 0003 -7417Banco BBN SA N 0051 0026 0075 0014 0820 0012 -1504B Cooperativo Sicredi SA N 0051 0040 0061 0005 0876 0005 -2499B Cooperativo do Brasil SA N 0054 0043 0136 0019 0912 0006 -1445Banco Topazio SA N 0061 0034 0109 0026 0838 0006 -2897Banco Gerador SA N 0073 0052 0124 0026 0855 0008 -1918Banco Randon SA N 0120 0024 0327 0114 0785 0005 -4153Parana Banco SA N 0048 0026 0106 0020 0786 0008 -2732Banco Triangulo SA N 0055 0027 0111 0022 0834 0004 -4227Banco Guanabara SA N 0052 0024 0153 0024 0779 0004 -5589Banco Cedula SA N 0069 0012 0339 0062 0734 0003 -10232Banco Cacique SA N 0076 0027 0246 0076 0785 0016 -1317Banco Luso Brasileiro SA N 0067 0027 0207 0047 0852 0004 -3379Banco Pecunia SA N 0046 0038 0054 0006 0773 0003 -71Banco Zogbi SA N 0047 0037 0061 0010 0778 0001 -14931Banco Daycoval SA N 0054 0022 0126 0026 0782 0004 -5661Banco John Deere SA N 0056 0018 0129 0031 0756 0003 -8043Banco AJ Renner SA N 0053 0025 0080 0015 0829 0006 -2716ABN Amro F 0053 0038 0074 0012 0908 0002 -4751Chase F 0067 0014 0225 0047 0792 0008 -2693LLoyds F 0049 0025 0064 0012 0824 0003 -5227BankBoston F 0054 0037 0096 0020 0899 0006 -1701Santander Brasil F 0057 0033 0103 0019 0884 0008 -1511Citibank F 0059 0026 0154 0028 0871 0003 -4204BNL F 0052 0037 0097 0020 0840 0006 -28Sudameris F 0052 0045 0058 0005 0962 0011 -334Societe Generale F 0060 0023 0151 0031 0827 0006 -2924Europeu F 0050 0032 0066 0012 0849 0007 -2263ABC-Brasil F 0051 0025 0079 0014 0814 0003 -617Dresdner F 0080 0017 0276 0073 0816 0005 -3374AGF Braseg F 0050 0031 0093 0015 0796 0004 -4812HSBC F 0057 0043 0093 0011 0966 0006 -541Deutsche F 0066 0013 0155 0035 0858 0004 -3244BNP Paribas F 0050 0035 0067 0008 0822 0005 -3775Barclays F 0056 0024 0113 0025 0778 0007 -305Rabobank Int Brasil SA F 0057 0021 0163 0027 0842 0003 -5208B Nat de Paris Brasil SA F 0058 0022 0100 0029 0812 0006 -3343Ibibank SA - Banco Multiplo F 0057 0012 0099 0023 0780 0015 -1478Dresdner Bank - B Multiplo F 0087 0016 0244 0068 0770 0008 -2768Banco Westlb Do Brasil SA F 0063 0034 0106 0026 0841 0010 -1625Banco GE Capital SA F 0064 0032 0247 0046 0853 0010 -1522B Com Uruguai SA F 0073 0019 0191 0049 0833 0003 -50981S - State-owned bank N - National bank and F - Foreign bank

50

Table A11 Estimates of Lerner index and return to scale by bank - Model (6)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0036 0096 0015 0939 0007 -855Banrisul S 0050 0035 0098 0014 0938 0008 -82BEC S 0041 0019 0067 0012 0855 0009 -1644BRB S 0053 0029 0124 0018 0956 0002 -1996BB S 0051 0032 0088 0013 0954 0006 -807Caixa Economica Federal S 0054 0040 0094 0012 1014 0003 475B da Amazonia SA S 0053 0015 0103 0022 0846 0008 -205B do Estado Do Para SA S 0051 0028 0074 0013 0943 0004 -1319B do E Do Maranhao SA S 0041 0031 0059 0008 0950 0014 -346B do E Do Piauı SA - Bep S 0042 0028 0084 0012 0879 0004 -2727B do Estado De Sergipe SA S 0052 0022 0153 0022 0953 0003 -1377Nossa Caixa - N Banco SA S 0047 0032 0081 0014 0969 0004 -74Bradesco N 0052 0032 0097 0019 0898 0004 -2645Itau N 0054 0027 0190 0031 0877 0003 -4452Safra N 0049 0032 0100 0015 0872 0003 -5056Unibanco N 0043 0032 0067 0010 0878 0001 -8666Mercantil Do Brasil N 0053 0026 0087 0017 0938 0002 -3104BBM N 0066 0013 0251 0056 0792 0005 -4556BMC N 0041 0026 0069 0011 0850 0003 -4582BMG N 0067 0016 0228 0057 0781 0003 -6611JMalucelli N 0051 0022 0089 0017 0725 0003 -9344PEBB N 0046 0015 0157 0039 0728 0008 -3313SS N 0058 0025 0230 0046 0801 0007 -292Sofisa N 0053 0020 0119 0025 0809 0002 -8846BIC N 0060 0029 0262 0049 0852 0005 -2697Schahin N 0049 0025 0229 0040 0843 0006 -2523Stock N 0081 0017 0284 0072 0836 0005 -2986Pine N 0049 0021 0112 0019 0812 0004 -5267Socopa N 0050 0026 0095 0015 0900 0003 -3515Intercap N 0055 0021 0196 0035 0828 0006 -2899Indusval N 0061 0029 0262 0049 0863 0005 -2762Bonsucesso N 0052 0019 0123 0026 0791 0005 -3885Industrial do Brasil N 0046 0027 0088 0015 0816 0002 -8698Votorantim N 0051 0027 0139 0027 0813 0007 -262Cacique N 0039 0022 0050 0009 0784 0005 -4707Inter Amex N 0045 0027 0064 0012 0843 0006 -2493Alfa N 0044 0033 0068 0009 0805 0002 -12111Rendimento N 0050 0022 0073 0010 0883 0008 -1543Bancoob N 0066 0055 0072 0007 0856 0003 -4559Original N 0098 0020 0294 0094 0735 0006 -4509Banco Intermedium SA N 0057 0024 0085 0022 0756 0006 -4324

Table A11 ndash Continue on next page

51

Table A11 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0061 0017 0195 0048 0777 0003 -7233Banco BBN SA N 0042 0023 0059 0012 0831 0011 -1529B Cooperativo Sicredi SA N 0048 0035 0066 0009 0879 0005 -2672B Cooperativo do Brasil SA N 0046 0034 0119 0017 0917 0006 -1439Banco Topazio SA N 0070 0031 0129 0036 0853 0005 -2776Banco Gerador SA N 0086 0057 0148 0034 0867 0007 -1825Banco Randon SA N 0126 0028 0331 0114 0799 0005 -4136Parana Banco SA N 0039 0023 0082 0015 0798 0008 -2556Banco Triangulo SA N 0052 0025 0116 0025 0840 0004 -4363Banco Guanabara SA N 0048 0021 0100 0019 0792 0004 -5683Banco Cedula SA N 0067 0013 0356 0067 0749 0002 -10205Banco Cacique SA N 0067 0026 0232 0073 0792 0015 -1356Banco Luso Brasileiro SA N 0065 0025 0237 0052 0864 0004 -3163Banco Pecunia SA N 0037 0029 0045 0006 0786 0003 -7158Banco Zogbi SA N 0037 0027 0045 0007 0785 0002 -13921Banco Daycoval SA N 0053 0020 0120 0031 0787 0003 -6088Banco John Deere SA N 0043 0017 0099 0022 0764 0003 -8346Banco AJ Renner SA N 0050 0025 0080 0013 0840 0006 -2706ABN Amro F 0043 0035 0067 0008 0894 0002 -6685Chase F 0059 0014 0189 0040 0803 0007 -2772LLoyds F 0039 0021 0055 0012 0824 0003 -5536BankBoston F 0044 0029 0075 0015 0890 0006 -1965Santander Brasil F 0054 0028 0107 0024 0871 0008 -1694Citibank F 0054 0023 0133 0026 0863 0003 -4787BNL F 0042 0028 0078 0018 0843 0005 -2998Sudameris F 0041 0036 0052 0006 0948 0010 -491Societe Generale F 0054 0020 0118 0025 0834 0006 -2716Europeu F 0038 0029 0049 0008 0856 0006 -2239ABC-Brasil F 0046 0028 0084 0014 0816 0003 -6111Dresdner F 0063 0015 0239 0061 0823 0005 -3888AGF Braseg F 0047 0027 0074 0014 0807 0004 -4477HSBC F 0054 0032 0109 0018 0950 0006 -823Deutsche F 0058 0013 0122 0028 0863 0004 -305BNP Paribas F 0051 0032 0070 0011 0822 0004 -4145Barclays F 0064 0024 0128 0029 0802 0005 -4051Rabobank Int Brasil SA F 0051 0019 0130 0021 0846 0003 -4992B Nat de Paris Brasil SA F 0043 0019 0070 0019 0819 0005 -3429Ibibank SA - Banco Multiplo F 0049 0010 0083 0020 0785 0013 -161Dresdner Bank - B Multiplo F 0087 0016 0261 0066 0783 0007 -2901Banco Westlb Do Brasil SA F 0051 0030 0082 0019 0850 0009 -1643Banco GE Capital SA F 0053 0028 0239 0044 0859 0009 -1544B Com Uruguai SA F 0071 0017 0217 0054 0845 0003 -48451S - State-owned bank N - National bank and F - Foreign bank

52

Seacuterie de Textos para Discussatildeo do Curso de Ciecircncias Econocircmicas ndash FACEUFG ndash TD [078]

EDITORIAL FACE ndash Faculdade de Administraccedilatildeo Ciecircncias Contaacutebeis e Ciecircncias Econocircmicas Curso de Ciecircncias Econocircmicas Direccedilatildeo FACE Prof Moiseacutes Ferreira da Cunha Vice-Direccedilatildeo FACE Profordf Andreacutea Freire de Lucena Coordenaccedilatildeo do Curso de Ciecircncias Econocircmicas Prof Tiago Camarinha Lopes NEPEC ndash Nuacutecleo de Estudos e Pesquisas Econocircmicas Coordenaccedilatildeo Prof Seacutergio Fornazier Meyrelles Filho SEacuteRIE DE TEXTOS PARA DISCUSSAtildeO DO CURSO DE CIEcircNCIAS ECONOcircMICAS DA UFG Coordenaccedilatildeo e Equipe de Editoraccedilatildeo Prof Sandro Eduardo Monsueto Adriana Moura Guimaratildees Matheus Henrique de Arauacutejo Dutra

Endereccedilo Campus Samambaia Preacutedio da FACE ndash Rodovia GoiacircniaNova Veneza km 0 ndash CEP 74690-900 Goiacircnia ndash GO Tel (62) 3521 ndash 1390 URL httpwwwfaceufgbreconomia Publicaccedilatildeo cujo objetivo eacute divulgar resultados de estudos que contam com a participaccedilatildeo de pesquisadores do NEPEC As opiniotildees contidas nesta publicaccedilatildeo satildeo de inteira responsabilidade do(s) autor(es) natildeo representando necessariamente o ponto de vista do NEPEC ou da FACEUFG Eacute permitida a reproduccedilatildeo desde que citada a fonte

Page 13: 1(3(& )$&( 8)* · The Dark Side of Prudential MeasuresI Paulo R. Scalco a, Benjamin M. Tabak1, Anderson M. Teixeira aFaculty of Management, Accounting and Economics, Federal University

is important because it means that we can substitute the term on the right side of the

equation 5 by product elasticity that is

RC =partlnf(middot)partlny

+ u+ v u ge 0 (11)

The advantage of estimating equation 11 rather than equation 5 is that we can estimate

mark-ups without the need for input and output prices that is we only need the information

on revenue and total cost of banks and the respective input quantities

In order to estimate the mark-up defined in equation 11 we assume that the transforma-

tion function takes a form of the translog type and apply the appropriate normalizations as

in Kumbhakar (2012) to express the transformation function in the form of an input input

function given by

lnx1 = α0 +Jminus1sumj=1

αjlnxj +1

2

Jminus1sumj=1

Jsumk=2

αjklnxjlnxk

+ αY lnY +1

2αY Y (lnY )2 +

Jminus1sumj=1

αjY lnxjlnY+ + αTT +1

2αTTT

2

+Jminus1sumj=1

αjT lnxjT + αY TT lnY

(12)

from which we can derive the product-elasticity as

EY equivpartlnx1partlnY

= αY + αY Y lnY +Jminus1sumj=1

αjY lnxj + αY TT (13)

where xj =xj

xJ j = 1 2 J minus 1

Replacing equation 13 in equation 11 we define our empirical equation as

RC = αY + αY Y lnY +Jminus1sumj=1

αjY lnxj + αY TT + u+ v (14)

As highlighted by Kumbhakar et al (2012) once that we are interested in estimating

the individual mark-up of each bank we need to focus only on 14 without the need to

11

estimate the full distance input function defined by 12 Besides since the compound error

term (ε = u + v) is the same in the SFA models we use the Maximum Likelihood method

to estimate the model (14) For this it is necessary to assume a hypothesis about the

distribution of the two components

We follow the literature and assume that the random error component v is independent

and identically distributed with a normal distribution zero mean and constant variance

that is v sim N(0 σ2v) On the other hand for the nonnegative component u representing

the banksrsquo mark-up we extend the models of by Coccorese (2014) and Das amp Kumbhakar

(2016) and separating the deviation from the competitive frontier in a deterministic part

which is a function of a vector of explanatory variables Zrsquo of the purely stochastic part

Following the SFA literature we estimate the deterministic component of mark-up si-

multaneously with the parameters of the 14 in the same way as Lopez et al (2018) This

procedure reduces possibility of bias of the estimates when the stochastic term includes

determinants of deviations Thus the mark-up (u) in 14 can be represented by

u = Zrsquoδ + ω (15)

where ω is the stochastic component of mark-up and is defined by a truncated normal

distribution with zero mean and constant variance σ2ω such that ω ge -Zrsquoδ Therefore the

mark-up (u) follows a distribution u sim N+(Zrsquoδ σ2ω)

Combining equations 14 and 15 the model we estimate is as follows

RC = αY + αY Y lnY +Jminus1sumj=1

αjY lnxj + αY TT + Zrsquoδ + ωit + v (16)

In order to verify the impact of prudential measures on the degree of competition we

have included the measures Cerutti et al (2016) as determinants of mark-up in addition to

a measure of concentration represented by the HHI calculated from the total assets of the

banks

12

33 Market Power

To measure the degree of power of each bank we use the traditional measure defined by

Lerner (1934)

L =P minusMC

P (17)

if L = 0 P = MC and for any value L gt 0 P gt MC In the limit L = 1

The connection between the SFA model (equation 16) and the Lerner index is done

rearranging the equation 5 Omitting the error term (v) for simplification we can rewrite

equation 5 as

P middot YC

partlnY

partlnCminus 1 = u

partlnY

partlnCmiddot (18)

Considering that partlnYpartlnC

= (partYpartC

)(CY

) we have

P minusMC

MC=

u

EC

middot (19)

Equation 19 corresponds to an alternative definition of mark-up called θ where the

distance between price and marginal cost is expressed as a fraction of the latter In addition

since the function input distance is dual the cost function we can substitute EC for EY in

equation 19 and after estimating equation 16 and obtain estimates of the mark-up (u) the

estimation of market power can be obtained by replacing the values estimated in equation 19

as follow

θ equiv P minusMC

MC=

u

αY + αY Y lnY +sumJminus1

j=1 αjY ln xj + αY TT (20)

This estimate can be used to obtain the traditional measure of Lerner index as in

equation 16 employing the following formula

L =θ

1 + θ (21)

13

34 Returns to Scale

Finally we can use the estimates of equation 16 to obtain other characteristics of tech-

nology such as the return to scale and the scale bias Formally EC = partlnCpartlnY

= (partCpartY

)(YC) =

MCAC where AC represents the average cost This means that the return to scale is

inversely related to cost elasticity that is RTS = 1EC If EC = 1 we will have constant re-

turns to scale if EC lt 1 we will have increasing returns (economies of scale) and if (EC gt 1)

we will have decreasing returns (diseconomies of scale) Again using the duality condition

between IDF and the cost function we can use the estimates of equation 16 to calculate the

return to scale and scale bias Respectively

RTS =1

αY + αY Y lnY +sumJminus1

j=1 αjY ln xj + αY TT(22)

and

Scale Bias = αY T (23)

If the scale bias parameter (αY T ) is statistically significant and greater than zero this

suggests that technological change is reducing economies of scale over time

4 Database and empirical approach

The database used can be divided into two parts The first part includes the information

of all FI authorized to operate in Brazil by the Brazilian Central Bank (BCB) This infor-

mation is available on the BCBrsquos website through the IFdata system and contains detailed

information on the balance sheet income statement and credit portfolio of all IFs In ad-

dition data are available on an individual basis as well as on financial conglomerates and

prudential conglomerates1 For this work we use the concept of financial conglomerates In

1The BCB defines as a financial conglomerate the group of financial entities directly or unrelated byshareholding or by effective operational control characterized by standard management or by operatingin the market under the same brand or commercial name (Circular note no 1273 from Brazilian CentralBank) The concept of a prudential conglomerate in turn encompasses a broader universe of entities suchas consortium administrators payment institutions and companies that purchase credit operations (Officedocument no 1273 from Brazilian Central Bank)

14

December 2018 there was information on a total of 2753 IFs between commercial banks

or multiple banks with and without commercial portfolios credit cooperatives development

banks among others arranged quarterly since the first quarter of 2000

Our sample was restricted only to commercial banks or multiple banks with commercial

portfolios and savings banks Banks with loan portfolio equal zero and did not contain

information for at least three consecutive years were excluded In the same way we excluded

banks with observations that fell bellow 1st percentile of the sample for each one of variables

used in the model or above 99th percentile only for the dependent variable RC = TRC

Furthermore we chose to work with the data on a semi-annual basis (June and December

base dates) because inconsistencies we have found in some quarterly accounting data After

applying all these criteria our sample was restricted to a panel with only 83 banks between

the first half of 2000 and the second half of 2014 totaling 1818 observations2 In terms

of representativeness our sample with only 83 banks corresponded to 794 of the total

assets and 817 of the credit portfolio of the entire SFN in December 2014

The second database was obtained from Cerutti et al (2016) In this unprecedented

database the focus is on the change and intensity in the use of a set of prudential instruments

classified as micro-prudential and macro-prudential3 They collect the data for 64 countries

with a quarterly period covering the period between the first quarter of 2000 and the fourth

quarter of 2014 In the database in addition to a considerable number of countries the

information collected by the authors has the objective of mapping the intensity and the

change occurring quarterly in each of the prudential instruments

The original instruments of the database are the capital requirement capital buffer

interbank exposure limit concentration limit maximum loan amount commonly known as

Loan-to-value and reserve requirement

Concerning the capital requirement instrument we can understand it as an imposition

2Although the BCB has information until the second half of 2018 the database with prudential variablesavailable in the article by Cerutti et al (2016) goes only until the second half of 2014

3The database of Cerutti et al (2016) is a considerable advance to the available prudential data collectedso far in Lim et al (2011) and Cerutti et al (2017a) In both studies the focus is on only identifying whetheror not the country has implemented the appropriate prudential instrument

15

for a compulsory deposit with the BCB of demand deposits of financial institutions Capital

buffer serves as a buffer against countercyclical capital whose purpose is to protect the

banking sector in periods of excessive credit growth which is associated with increased

systemic risk On the other hand in periods of credit constraint the buffering capital may

decrease and thus not affecting the performance of the real side of the economy

The interbank exposure limit is a liability limiter maintained by the banking sector as a

whole or by a particular bank By the concentration limit we mean a procedure that limits

the fraction of assets concentrated to a limited number of borrowers

Loan-to-value is a restriction to the borrower or activity It is the imposition of maximum

amounts of loans on the value of collateral or even maximum amounts of indebtedness to the

income of the borrower Finally we can interpret a reserve requirement as an instrument

whose purpose is to limit the multiplication of money in the economy through the imposition

of compulsory deposits with the Central Bank

The prudential capital buffer instrument was broken down into the following categories

general capital requirement real estate credit consumer credit and others We decompose

the reserve requirement instrument into two sub-indices local domestic currency and foreign

currency

Information on intensity and change in prudential tooling is collected as follows by the

researchers If the financial regulator tightens the instrument in question in a specific quarter

the index assumes a value of +1 On the other hand if the same instrument undergoes

relaxation or loosening the value of minus1

Finally the index receives a value of zero if there was no change in the prudential

instrument in that quarter4 According to Cerutti et al (2016) in addition to capturing the

intensity of change in such a prudential policy this type of coding incorporates qualitative

characteristics of the policy that are lost by the type of dichotomous coding (1 if implemented

and 0 otherwise) Despite the simplicity of the coding used it is imperfectly able to measure

direction in policy change Not all the instruments available on the original basis were used

4For more details on how the base was built see Cerutti et al (2016)

16

because some measures were not implemented by the BCB Examples are the capital buffer

for real estate credit the concentration limit of banks to sectors or borrowers and the limit

on interbank exposure

Moreover due to the low variability in most measures and the semi-annual structure

of the database obtained in the BCB we chose to use the cumulative indexes of variation

According to Cerutti et al (2016) the purpose of this cumulative index is to capture the

level of tightness or looseness over a given period Finally to capture an overall measure of

prudential instruments we aggregate all variations of prudential instruments into a single

aggregate instrument called cumulative prudential Table A5 attached illustrates the

change and the intensity of the prudential instruments implemented by Brazil according to

the data collected by Cerutti et al (2016)

Our empirical strategy consists in estimating the equation 16 by Maximum Likelihood in

a two-stage procedure wherein the first stage we obtain the estimates of the parameters of

the equation and in the second stage we calculate the estimates of uit using the conditional

mean estimator of Jondrow et al (1982)

After obtaining the estimates of u and RC equiv EY we use equation 20 to calculate the

estimated values of θ which are used to calculat e the Lerner Index (L) according to

equation 21

We estimated six models wif different sets of deterministic variables (prudential measures)

to control the parameter of market power (uit) In the first model we did not add any

controls In the second we include only the HHI In the third specification we include the

capital buffer and capital requirement The fourth model uses only the loan-to-value In the

fifth model we include reserve requirements in both foreign and local currency and in the

last model we include the cumulative prudential measure which is the sum of the changes

in all other prudential measures

The inclusion of prudential variables in a separated way was necessary because they

represent only the tightening or the loosening of the prudential instrument Therefore they

do not represent the change in the magnitude of the prudential instrument As such the

variables have little variability and the high correlation generated between them causes

17

severe problems in the estimation process by maximum likelihood In general the tests with

the aggregate models did not reach the convergence of likelihood function even using different

strategies for initial values or optimization algorithm and when the optimization reaches an

optimal state the estimates were inconsistent For this reason we chose to estimate simpler

models including prudential variables separately or at most two when they represented

similar measures

Besides two critical events occurred in the second half of 2008 and significantly changed

the structure and dynamics of the banking industry in Brazil The outbreak of the subprime

crisis in the US and the acquisition of Unibanco by Itau in Brazil5 Itau-Unibanco has become

the largest bank in Brazil (Itau-Unibanco) accounting for 191 of total SFN assets and

184 of the total loan portfolio in the second half of 2008

We can observe the increase in market concentration in Figure 1 which represents HHI

concentration indices for total assets and total credit portfolio The increase in concentra-

tion levels of the banking industry on the other hand also coincides temporarily with the

outbreak of the GFC and an increase in rigidity in prudential instruments after the onset of

the crisis6

These events result in a high correlation between the variables and making it more

difficult to isolate the effects of each variable on the parameter of market power In this

way we also chose to estimate an HHI-only model as the control variable of market power

(uit)

Figure 1 Evolution of the Herfindahl Index (HHI) over time using credit and total assets

for the Brazilian banking system

We summarize the description of the variables that we will use in the estimation of

5Unibanco was the sixth largest Brazilian bank in the first half of 2008 accounting for 59 of total SFNassets and 6 of the total loan portfolio Also Itau was the third largest bank with 118 of SFN and119 of the loan portfolio

6Cubillas amp Suarez (2018) find the same result as the banksrsquo market power increased shortly after theGFC

18

equation 16 and how we calculate them in Table 1 All variables included in equation 16

except for trend prudential variables an HHI are in the logarithms form

Table 1 Variables used to IDF estimatation

5 Empirical Results

We present the results of the models in Table 2 Initially focusing on the interpretation

of the parameters of the input-distance function we verified that the size of the IF credit

portfolio (lnY ) has a negative sign but it was significant only for models 1 4 and 5 This

result implies that the larger the portfolio size the lower the revenue-cost ratio of the FI

Table 2 Results of IDF estimation

The coefficients of Staff costs (lnx1) and volume of funding (lnx2) were also negative

and significant in all models Thus the higher the staff costs and the higher the funding

volume the lower the cost-to-cost ratio of the FIs The trend variable as established by

equation 23 represents the scale bias and the negative sign would indicate that technological

change would increase economies of scale over time however no estimate was significant

51 Impact of Prudential Measures on Mark-up

The evaluation of the variables that determine the mark-up parameter (u) shows that

all of them are statistically significant and positive The SFA model is not linear in these

parameters Therefore the value of the coefficients does not represent the effect of the

magnitude of changes in the variables on the mark-up (their elasticities) However we can

estimate their marginal effects We present them for each variable in Figure 2

19

Figure 2 Marginal effects of HHI and prudential instruments (Capital Buffer Capital

RequirementLTV Reserve Requirement (Foreign) Reserve Requirement (domestic) and

cumulative prud) on themark-upucomponent

The positive sign of HHI in model 2 means that the more concentrated the banking

industry is the higher the market power of FIs This result is in line with that established by

the traditional structure-conduct-performance paradigm (Schmalensee 1989) However as

can be seen in Figure 1 the increase in the concentration index coincides with the tightening

of the prudential measures stemming from the GFC In this sense we can not say whether

this is the real effect of the increase in market concentration on the market power of FIs or

whether it is affected by the tightening of prudential measures

If we focus on prudential instruments the results for capital buffers and the capital

requirement (model 3) indicate that a tightening in these variables - whose purpose is to

increase banksrsquo capital reserve during positive shocks in the economy - has a detrimental

effect on competition market since they raise the IF mark-ups This effect happens because

this prudential measure influences the smoothing of the credit supply cycle

The same results are present for the loan-to-value variable (model 4) In general this

measure sets limits on the leverage of mortgages and other securities and a tightening in

ltv is effective in controlling possible booms in the real estate market by reducing real estate

prices and ultimately reducing the excess volatility of the economy ((Zhang amp Zoli 2016

Ely et al 2019) According to the result found the higher the limits the greater the market

power of the FIs

With respect to reserve requirements both in foreign and local currency - credit limits

directly in foreign currency and domestic currency respectively - the results (model 5) also

demonstrate a detrimental effect on competition since the tightening in such measures also

implies an increase mark-up of IFs In the model 6 where we introduce the aggregate

prudential measure the result found is similar to the others that is the higher the tightness

(in general) in the prudential measures of the financial system the higher the market power

of FIs

20

Unfortunately since prudential variables represent only a measure of tightening or loos-

ening of prudential policy and not its magnitude we can not accurately assess the impact

of these variables on the mark-up The marginal effects represented in Figure 2 give us only

an idea of how such variables affected the estimated mark-ups

However in general we can say that the positive signs of the estimates mean that the

higher the tightness in these prudential policies the greater the mark-up and consequently

the higher the market power of the FIs Therefore we find a perverse effect on industry

competition and probably a loss of borrowers welfare

Our results are in accordance with the evidence that the increase in prudential rigor has

negative impacts mainly on the supply of credit (Lim et al 2011 Claessens 2015 Aiyar

et al 2014 Gropp et al 2018 Cerutti et al 2017a) Ceteris paribus the increase of IF

mark-ups would be a fully expected effect As highlighted by Claessens amp Laeven (2004) any

policy that restricts the activity of banks and hinders their operation has negative impacts

on market competition

52 Estimation of Lerner indices

Regarding the mark-up estimation the values reported at the bottom of Table 2 corre-

spond to the distance between the observed revenue-cost ratio and its competitive boundary

that is the component u

To interpret the mark-up however we will focus the discussion on the estimates of

Lerner index (equation 21) because they have a more unambiguous economic meaning We

summarize the results of Lerner index for general estimates by type of control and for each

model in Table 3 and the Figure 3 shows their frequency distributions We should emphasize

that these estimates are individuals that is we obtain the estimates for each IF and at each

period t The tables in Annex (A6 to A11) summarizes the estimates of the Lerner index

and the returns to scale for each IF in the sample

Table 3 Estimates of Lerner index general and by type of control

21

Figure 3 Frequency distribution of Lerner indexes for each model and density estimation

Kernel by typeof control

For all six models all mark-up estimates were within the theoretical range of 0 and 1

with the minimum value being 0009 (model 2) and the maximum value 0362 (model 3) In

general the estimated average value was between 0051 (model 2) and 0058 (models 1 and

5) which means that on average Brazilian banks have a mark-up between 51 and 58

These values are slightly different when we separate the estimates by type of control

In the case of state-owned banks the average mark-up was between 0047 (model 2)

and 0057 (model 1) These values are lower in all the estimated models to the values

of (privates) national banks (0052-0057) and foreign banks (0050-0061) However the

medians of estimated values for state-owned banks were higher than the national and foreign

private banks in all models

For comparison purposes these values are considerably lower than the value (016) esti-

mated for Brazil in Coccorese (2014) We believe that this difference is due to the model and

sample used Coccorese (2014) has estimated the dual version of model (equation 5) and

as highlighted by Kumbhakar et al (2012) the use of accounting information to calculate

input prices can generate problems when they are endogenous

Regarding the sample Coccorese (2014) also used a different period from ours (1994 to

2012) and a more significant number of IFs in the sample (189 against 83 used by us) The

main difference here is in the number of IF - 106 in total In this respect it is essential to

note that these FIs constitute small FIs and in the second half of 2014 they held only 37

of total SFN assets and 24 of the total credit portfolio

We tried to replicated the Coccoresersquo sample but in preliminary tests we have found great

difficulties in the models estimations in particular at convergence of likelihood function

We observed these small IFs had in several situations extremely high values for the revenue-

cost ratio or excessively low for the inputs used (personnel expenses and funding) as well

as other problems such as launch errors (positive values in variables of expenditure for

example) and missings For these reasons and considering that such IFs represented only a

22

small fraction of Brazilian credit market we decided to exclude them from the sample

However It is worth highlight as they are small FIs the vast majority operate in particular

segments of the credit market and probably assume a more risk-taking behavior Considering

that they will work with a segment of credit claimants with rdquoworse scoresrdquo than borrowers

using large FIs we expect that the mark-up of these IFs will be higher We can observe

(part of) this phenomenon in Figure 4 where we represent the estimates of the Lerner index

(vertical axis) against market share of total assets (horizontal axis) of our sample and it is

quite evident the smaller banks have the higher mark-ups Therefore as our sample exclude

a large proportion of these small IFs it is natural that Coccorese (2014)rsquo results larger than

ours

Figure 4 Lerner indexes according to the size (market share) of banksrsquo assets

Regardless of this our results seem to adhere well to reality because if we look at Figure

5 we note that the Lerner indices show a significant increase from the second semester of

2008 These results are in agreement with the results of Cubillas amp Suarez (2018) Besides

in Figure 6 Lerner indexes are separated by type of control and we can observe that with

some exceptions the market power has always been lower for state-owned banks especially

considering the period after the GFC

Figure 5 Average Lerner indices for each model between 2000q2 and 2014q4

Figure 6 Average Lerner indices estimated for public private national and private

foreign banks between2000q2 and 2014q4

23

53 Estimation of Returns to Scale

Finally Table 4 and Figure 7 summarize the estimates of returns to scale We highlight

that the average of the returns to the scale of the Brazilian FIs is very close if we comparer

the six estimated models (between 0848 and 0851) Although the values are close to unity

in all IFs we reject the hypotheses of constant returns to the scale that is RTS = 1 therefore

IFs have diseconomies of scale

Table 4 Estimates of returns to scale by control type and general

When we separate estimates by type of control the estimates of state-owned banks

(0937-0944) are higher than national (0824-0829) and foreign banks (0841-0844) This

result means that the scale problem is a problem common to all FIs in Brazil Moreover

state-owned banks runs closer to the constant return region than national and foreign banks

Figure 7 Frequency distribution of the returns to scale indexes for each model and

density estimationKernel by type of control

6 Final Considerations

Considering that the banking industry underwent a significant restructuring in recent

years caused by several mergers and acquisitions in the sector as well as by a severe financial

crisis started in mid 2007 and potentialized in 2008 understand the behavior of market

power and as a (partial) set of prudential instruments influencing this dynamic has become

paramount Thus in an innovative way this paper proposed the use of stochastic frontier

analysis techniques to measure market power for the Brazilian banking industry and to test

if such prudential measures had an impact on the competitive dynamics of sector

The estimated average Lerner index was between 51 and 58 for Brazilian FIs How-

ever when controlled by the type of control we find that state-owned banks have slightly

24

lower estimates than national and foreign banks respectively Also estimates of returns to

scale allow us to infer that FIs operate with diseconomies of scale

Concerning the impact of prudential measures on the market power of FIs our results

generally suggest that tightening of prudential measures have a positive impact on bank

mark-up and consequently have detrimental effects on competition in industry banking

Finally in future research it will be possible to better understand the influence of some

prudential measures in the banking market through the study by type of segment or line of

credit

25

References

Aiyar S Calomiris C W amp Wieladek T (2014) Does macro-prudential regulation leak ev-

idence from a uk policy experiment Journal of Money Credit and Banking 46 181ndash214

URL httpsonlinelibrarywileycomdoiabs101111jmcb12086 doi101111jmcb12086

arXivhttpsonlinelibrarywileycomdoipdf101111jmcb12086

Altunbas Y Binici M amp Gambacorta L (2018) Macroprudential policy and bank risk Journal of

International Money and Finance 81 203ndash220 doihttpsdoiorg101016jjimonfin201711

012

Araujo L A D d amp Jorge Neto P d M (2007) Risco e competicao bancaria no Brasil Revista Brasileira

de Economia 61 175ndash200 URL httpwwwscielobrscielophpscript=sci_abstractamppid=

S0034-71402007000200003amplng=enampnrm=isoamptlng=pt doi101590S0034-71402007000200003

Auer R amp Ongena S (2019) The countercyclical capital buffer and the composition of bank lending

Available at SSRN 3345189

Ayyagari M Beck T amp Peria M (2018) The micro impact of macroprudential policies Firm-level

evidence IMF Working Paper

Barbosa K de Paula Rocha B amp Salazar F (2015) Assessing competition in the banking indus-

try A multi-product approach Journal of Banking amp Finance 50 340ndash362 URL httpwww

sciencedirectcomsciencearticlepiiS0378426614001642 doi101016jjbankfin201405

003

Belaisch A (2003) Do Brazilian Banks Compete SSRN Scholarly Paper ID 879189 Social Science Research

Network Rochester NY URL httpspapersssrncomabstract=879189

Bikker J A Shaffer S amp Spierdijk L K (2012) Assessing competition with the panzar-rosse model

The role of scale costs and equilibrium Economics Letters 94 1025ndash1044

Bresnahan T F (1982) The oligopoly solution concept is identified Economics Letters 10 87ndash92 URL

httpdxdoiorg1010160165-1765(82)90121-5 doi1010160165-1765(82)90121-5

Bresnahan T F amp Reiss P (1991) Entry and competition in concentrated markets Journal of Political

Economy 99 977ndash1009

Camors C amp Peydro J (2014) Macroprudential and monetary policy Loan-level evidence from reserve

requirement Mimeo Universitat Pompeu Fabra URL httpspdfssemanticscholarorgd508

61639bb4e7453a7a39184edf9b0c1e7016a6pdf

Cardoso M Azevedo P F amp Barbosa K (2016) Concorrencia no setor bancario brasileiro bancos

individuais versus conglomerados bancarios (pp 113ndash146) URL httprepositorioipeagovbr

handle110586650

Cerutti E Claessens S amp Laeven L (2017a) The use and effectiveness of macroprudential policies New

26

evidence Journal of Financial Stability 28 203ndash224 doihttpsdoiorg101016jjfs201510

004

Cerutti E Correa R Fiorentino E amp Segalla E (2016) Changes in prudential policy instruments ndash a

new cross-country database IMF Working Paper WP1610

Cerutti E Dagher J amp DellrsquoAriccia G (2017b) Housing finance and real-estate booms A cross-country

perspective Journal of Housing Economics 38 1ndash13

Claessens S (2015) An overview of macroprudential policy tools Annual Re-

view of Financial Economics 7 397ndash422 URL httpsdoiorg101146

annurev-financial-111914-041807 doi101146annurev-financial-111914-041807

arXivhttpsdoiorg101146annurev-financial-111914-041807

Claessens S Ghosh S R amp Mihet R (2013) Macro-prudential policies to mitigate financial system

vulnerabilities Journal of International Money and Finance 39 153ndash185 doihttpsdoiorg10

1016jjimonfin201306023

Claessens S amp Laeven L (2004) What drives bank competition some international evidence Journal

of Money Credit and Banking 36 563ndash583 URL httpwwwjstororgstable3838954

Coccorese P (2014) Estimating the Lerner index for the banking industry a stochastic frontier approach

Applied Financial Economics 24 73ndash88 URL httpdxdoiorg101080096031072013866202

doi101080096031072013866202

Coelho C A De Mello J M amp Rezende L (2013) Do Public Banks Compete with Private

Banks Evidence from Concentrated Local Markets in Brazil Journal of Money Credit and Bank-

ing 45 1581ndash1615 URL httponlinelibrarywileycomdoi101111jmcb12063abstract

doi101111jmcb12063

Cubillas E amp Suarez N (2018) Bank market power and lending during the global financial crisis Jour-

nal of International Money and Finance 89 1ndash22 URL httpwwwsciencedirectcomscience

articlepiiS0261560618303048 doihttpsdoiorg101016jjimonfin201808003

Das A amp Kumbhakar S C (2016) Markup and efficiency of Indian banks an input distance func-

tion approach Empirical Economics (pp 1ndash31) URL httplinkspringercomarticle101007

s00181-015-1062-4 doi101007s00181-015-1062-4

Ely R Tabak B amp Teixeira A (2019) Heterogeneous effects of the implementation of macroprudential

policies on bank risk MPRA Paper No94546

Freixas X Laeven L amp Peydro J-L (2015) Systemic Risk Crises and Macroprudential Regulation

Mit Press URL httpwwwjstororgstablejctt17kk82g

Galati G amp Moessner R (2013) Macroprudential policy ndash a literature review Jour-

nal of Economic Surveys 27 846ndash878 URL httpsonlinelibrarywileycom

27

doiabs101111j1467-6419201200729x doi101111j1467-6419201200729x

arXivhttpsonlinelibrarywileycomdoipdf101111j1467-6419201200729x

Gropp R Mosk T Ongena S amp Wix C (2018) Banks Response to Higher Cap-

ital Requirements Evidence from a Quasi-Natural Experiment The Review of Finan-

cial Studies 32 266ndash299 URL httpsdoiorg101093rfshhy052 doi101093rfshhy052

arXivhttpoupprodsislanrfsarticle-pdf32126627185080hhy052pdf

Hyde C E amp Perloff J M (1995) Can market power be estimated Review of Industrial Organization 10

465ndash485 URL httplinkspringercomarticle101007BF01024231 doi101007BF01024231

Igan D amp Kang H (2011) Do loan-to-value and debt-to-income limits work evidence from korea IMF

Working Papers (pp 1ndash34)

Jimenez G Ongena S Peydro J-L amp Saurina J (2017) Macroprudential policy countercyclical bank

capital buffers and credit supply Evidence from the spanish dynamic provisioning experiments Journal

of Political Economy 125 2126ndash2177 URL httpsdoiorg101086694289 doi101086694289

arXivhttpsdoiorg101086694289

Jondrow J Knox Lovell C A Materov I S amp Schmidt P (1982) On the estimation of technical

inefficiency in the stochastic frontier production function model Journal of Econometrics 19 233ndash

238 URL httpwwwsciencedirectcomsciencearticlepii0304407682900045 doi101016

0304-4076(82)90004-5

Klingelhoger J amp Sun R (2019) Macruprudential policy central banks and financial stability Evidence

from china Journal of International Money and Finance 93 19ndash41 URL httpsdoiorg101016

jjimonfin201812015

Kumbhakar S C (2012) Specification and estimation of primal production models European Journal

of Operational Research 217 509ndash518 URL httpwwwsciencedirectcomsciencearticlepii

S0377221711008939 doi101016jejor201109043

Kumbhakar S C Baardsen S amp Lien G (2012) A New Method for Estimating Market Power with

an Application to Norwegian Sawmilling Review of Industrial Organization 40 109ndash129 URL http

linkspringercomarticle101007s11151-012-9339-7 doi101007s11151-012-9339-7

Lerner A P (1934) The Concept of Monopoly and the Measurement of Monopoly Power The Review

of Economic Studies 1 157ndash175 URL httprestudoxfordjournalsorglookupdoi102307

2967480 doi1023072967480

Lim C H Costa A Columba F Kongsamut P Otani A Saiyid M Wezel T amp Wu X (2011)

Macroprudential policy what instruments and how to use them lessons from country experiences IMF

working papers (pp 1ndash85)

Lopez R A He X amp Azzam A (2018) Stochastic frontier estimation of market

28

power in the food industries Journal of Agricultural Economics 69 3ndash17 URL https

onlinelibrarywileycomdoiabs1011111477-955212219 doi1011111477-955212219

arXivhttpsonlinelibrarywileycomdoipdf1011111477-955212219

Lucinda C R (2010) Competition in the Brazilian loan market an empirical analysis Estudos Economicos

(Sao Paulo) 40 831ndash858 URL httpwwwscielobrscielophpscript=sci_abstractamppid=

S0101-41612010000400004amplng=enampnrm=isoamptlng=en doi101590S0101-41612010000400004

Moreno R (2011) Policymaking from arsquomacroprudentialrsquoperspective in emerging market economies

Nakane M I (2002) A test of competition in brazilian banking Estudos Economicos (Sao Paulo) 32

203ndash224 URL httpwwwrevistasuspbreearticleview117799

Panzar J C amp Rosse J N (1987) Testing for rdquomonopolyrdquo equilibrium The Journal of Industrial

Economics 35 443ndash456 URL httpwwwjstororgstable2098582 doi1023072098582

Richter B Schularick M amp Shim I (2019) The costs of macroprudential policy Journal of Inter-

national Economics 118 263 ndash 282 URL httpwwwsciencedirectcomsciencearticlepii

S0022199618302617 doihttpsdoiorg101016jjinteco201811011

Schmalensee R (1989) Chapter 16 inter-industry studies of structure and performance In Hand-

book of Industrial Organization (pp 951ndash1009) Elsevier BV URL httpdxdoiorg101016

s1573-448x(89)02004-2 doi101016s1573-448x(89)02004-2

Silva M S d () Avaliacao do processo de concentracao-competicao no setor bancario brasileiro URL

httpwwwbcbgovbrpecwpsporttd377pdf

Tabak B amp Gomes G (2015) The impact of market power at bank level in risk-taking The brazilian

case International Review of Financial Analysis 40 154ndash165

Tabak B M Fazio D M amp Cajueiro D O (2012) The relationship between banking market competition

and risk-taking Do size and capitalization matter 36 3366ndash3381 URL httpwwwsciencedirect

comsciencearticlepiiS0378426612002026 doi101016jjbankfin201207022

Wong T Fong T Li K-f amp Choi H (2011) Loan-to-value ratio as a macroprudential tool-hong kongrsquos

experience and cross-country evidence

Zhang L amp Zoli E (2016) Leaning against the wind Macroprudential policy in asia Journal of Asian

Economics 42 33ndash52

29

Figure 1 Evolution of the Herfindahl Index (HHI) over time using credit and total assets for theBrazilian banking system

30

Figure 2 Marginal effects of HHI and prudential instruments (Capital Buffer Capital RequirementLTV Reserve Requirement (Foreign) Reserve Requirement (domestic) and cumulative prud) on the

mark-up u component

31

Figure 3 Frequency distribution of Lerner indexes for each model and density estimation Kernel by typeof control

32

Figure 4 Lerner indexes according to the size (market share) of banksrsquo assets

33

Figure 5 Average Lerner indices for each model between 2000q2 and 2014q4

34

Figure 6 Average Lerner indices estimated for public private national and private foreign banks between2000q2 and 2014q4

35

Figure 7 Frequency distribution of the returns to scale indexes for each model and density estimationKernel by type of control

36

Table 1 Variables used to IDF estimatation

Variabel Description SourceBasic variables

TR Total Revenue = Gross Insterest Income (a) + Bank-ing Service Fee Income (d1) + Banking Fee Income(d2) + Other Operating Income (d7)

Inc statIFData

TC Total Cost = Interest Expenses (b) + Personnel Ex-penses (d3) + Administrative Expenses (d4) + TaxExpenses (d5) + Other Operating Expenses (d8)

Inc statIFData

Y Loan Lease and Other Credit Operations by RiskLevel

SummaryIFData

x1 Personnel Expenses (d3) Inc statIFDatax2 Funding (e) LiabilitiesIFDatax3 Equity (j) LiabilitiesIFData

Model variabelslnRC Log of Revenue-Cost ratiolnY Log of total loanlnx1 Log of personnel expenses and equity ratio (x1x3)lnx2 Log of funding and equity ratio (x2x3)T Time

Prudential variables - Deterministic mark-up parametersHHIt HHIt =

sumS2it where Sit

2 is market share of totalasset of bank i on time t

Inc statIFData

cb cumulative change of capital buffer Cerutti et al (2016)cr cumulative change of capital requirement Cerutti et al (2016)ltv cumulative change of loan-to-value Cerutti et al (2016)

rr foreign cumulative change of reserve requirement (foreigncurrency)

Cerutti et al (2016)

rr local cumulative change of reserve requirement (domesticcurrency)

Cerutti et al (2016)

37

Table 2 Results of IDF estimation

Parameters VariablesEstimates

Model Model Model Model Model Model(1) (2) (3) (4) (5) (6)

Parametros da funcao insumo distanciaαY Y lnY -0013 -0003 -0004 -0012 -0011 -0005

(000) (000) (000) (000) (000) (000)α1Y lnx1 -0096 -0095 -0094 -0094 -0096 -0090

(001) (001) (001) (001) (001) (001)α2Y lnx2 -0019 -0022 -0022 -0019 -0020 -0021

(001) (001) (001) (001) (001) (001)αY T T -0000 -0000 -0000 -0000 -0000 -0000

(000) (000) (000) (000) (000) (000)αY const 1153 1010 1035 1134 1129 1057

(005) (007) (005) (005) (005) (006)

Deterministic Mark-up parametersδ1 HHI 764157

(12270)δ1 Capital

Buffer7586(065)

δ2 CapitalReq

4696(160)

δ1 Loan-to-value38511(671)

δ1 ResR(foreign)10730(433)

δ2 ResR(local)2869(126)

δ1 Cum Prud3237(020)

δ0 const minus10601minus10194minus5306 minus9866 minus8577 minus4993(032) (2064) (316) (079) (119) (122)

Distribution of u and vσ2u 2840 1418 1620 2643 2441 1593σ2v 0118 0121 0120 0118 0118 0120λ 2402 1172 1354 2233 2065 1325Log Lik 887404 922033 918606 896019 891991 907817

EstimatesEstimates of Mark-up (u)Avg 0075 0065 0068 0074 0075 00691st quartile 0052 0038 0051 0051 0051 0044Median 0062 0048 0060 0060 0061 00543st quartile 0080 0074 0079 0079 0079 0075std-dev 0053 0054 0053 0053 0054 0054

Note p lt 010 p lt 005 and p lt 001

38

Table 3 Estimates of Lerner index general and by type of control

EstimatesModel Model Model Model Model Model

(1) (2) (3) (4) (5) (6)Mark-up (L) generalAverage 0058 0051 0053 0057 0058 0053std-dev 0032 0034 0034 0032 0032 00331st quartile 0043 0031 0034 0041 0042 0036Median 0051 0039 0044 0050 0050 00453st quartile 0063 0060 0059 0063 0063 0060Mark-up (L) State-owned banksAverage 0057 0047 0049 0056 0056 0050std-dev 0018 0017 0017 0018 0016 00161st quartile 0047 0035 0038 0045 0046 0040Median 0054 0041 0046 0053 0053 00463st quartile 0064 0056 0056 0064 0063 0057Mark-up (L) National banksAverage 0057 0052 0054 0057 0057 0054std-dev 0034 0038 0038 0035 0035 00371st quartile 0041 0030 0033 0040 0041 0035Median 0050 0038 0043 0048 0049 00443st quartile 0061 0061 0060 0061 0062 0060Mark-up (L) Foreign banksAverage 0061 0050 0053 0059 0060 0054std-dev 0034 0033 0032 0034 0034 00321st quartile 0042 0031 0034 0041 0042 0036Median 0052 0040 0044 0051 0051 00453st quartile 0068 0059 0060 0066 0066 0061

Table 4 Estimates of returns to scale by control type and general

ModelState-owned

banksNational

banksForeignbanks

General std-dev Min Max

1 0944 0824 0842 0848 0073 0665 11242 0940 0829 0843 0851 0066 0690 10733 0938 0827 0842 0849 0066 0689 10764 0941 0824 0842 0848 0071 0671 11115 0942 0824 0841 0848 0072 0669 11136 0937 0829 0844 0850 0065 0692 1073

39

Appendix A Attachment Tables

Table A5 Cumulative change on Prudential Measures intensity

TimeCapitalBuffer 2

(cb)

CapitalReq(cr)

Loan-to-Value(ltv)

Reserve Reqlocal curr

(RR local)

Reserve Reqforeign cur

(RR foreign)

CumulativePrudential 3

(Cum Prud)2000q2 -1 0 0 0 -2 -32000q4 -1 0 0 0 -2 -32001q2 -1 0 0 0 -2 -32001q4 0 0 0 0 -1 -12002q2 0 0 0 0 0 02002q4 2 0 0 0 2 42003q2 0 0 0 0 3 32003q4 0 0 0 0 2 22004q2 0 0 0 0 2 22004q4 0 0 0 0 2 22005q2 0 0 0 0 2 22005q4 0 0 0 0 2 22006q2 0 0 0 0 2 22006q4 0 0 0 0 2 22007q2 2 0 0 0 2 42007q4 2 0 0 0 2 42008q2 2 0 0 0 2 42008q4 2 0 0 0 1 32009q2 2 0 0 0 0 22009q4 2 0 0 0 -1 12010q2 2 0 0 0 1 32010q4 3 0 0 0 3 62011q2 3 0 0 1 3 72011q4 4 0 0 2 3 92012q2 3 1 0 2 3 92012q4 3 1 0 1 2 72013q2 3 2 0 0 2 72013q4 3 2 1 0 2 82014q2 3 2 1 0 2 82014q4 2 2 1 0 3 82Sum of capital buffer and others 3Aggregate measure (It is the sum of the change of all other instrument)

40

Table A6 Estimates of Lerner index and return to scale by bank - Model (1)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0042 0082 0009 0940 0007 -85Banrisul S 0055 0041 0084 0009 0952 0008 -635BEC S 0048 0021 0077 0016 0844 0009 -1756BRB S 0058 0033 0100 0015 0961 0003 -1533BB S 0058 0039 0098 0012 0990 0006 -173Caixa Economica Federal S 0063 0051 0174 0022 1052 0004 1458B da Amazonia SA S 0057 0016 0124 0023 0844 0008 -2028B do Estado Do Para SA S 0061 0026 0110 0022 0936 0004 -1764B do Est do Maranhao SA S 0055 0046 0065 0006 0935 0014 -455B do Est do Piauı SA - Bep S 0057 0030 0155 0029 0862 0004 -326B do Estado De Sergipe SA S 0061 0024 0135 0022 0947 0004 -1453Nossa Caixa - N Banco SA S 0057 0036 0090 0013 0981 0004 -444Bradesco N 0056 0038 0114 0015 0925 0004 -1945Itau N 0059 0031 0220 0033 0901 0003 -3797Safra N 0053 0037 0085 0009 0885 0003 -4215Unibanco N 0055 0037 0088 0014 0897 0001 -7054Mercantil Do Brasil N 0057 0027 0077 0011 0945 0002 -2527BBM N 0076 0016 0300 0065 0783 0005 -4464BMC N 0052 0030 0079 0012 0845 0003 -4703BMG N 0065 0017 0208 0045 0779 0003 -729JMalucelli N 0047 0022 0069 0013 0718 0003 -8765PEBB N 0065 0017 0181 0047 0698 0008 -3914SS N 0057 0034 0220 0037 0799 0007 -2839Sofisa N 0054 0021 0092 0020 0804 0002 -9903BIC N 0060 0034 0236 0040 0855 0005 -276Schahin N 0056 0028 0214 0035 0835 0006 -262Stock N 0081 0020 0267 0067 0817 0006 -3107Pine N 0052 0022 0108 0019 0808 0004 -545Socopa N 0056 0027 0120 0017 0886 0003 -3806Intercap N 0060 0023 0212 0037 0812 0007 -2851Indusval N 0062 0030 0246 0043 0857 0005 -3139Bonsucesso N 0052 0020 0092 0018 0779 0005 -4033Industrial do Brasil N 0051 0031 0081 0016 0807 0002 -952Votorantim N 0052 0037 0107 0017 0819 0009 -2117Cacique N 0053 0024 0071 0014 0774 0005 -4621Inter Amex N 0055 0037 0068 0010 0837 0008 -2158Alfa N 0048 0041 0059 0005 0806 0002 -11303Rendimento N 0053 0022 0080 0012 0872 0008 -1562Bancoob N 0052 0046 0056 0003 0856 0003 -5061Original N 0085 0017 0279 0090 0729 0007 -4163Banco Intermedium SA N 0052 0028 0070 0015 0743 0006 -3973

Table A6 ndash Continue on next page

41

Table A6 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0225 0049 0761 0003 -7509Banco BBN SA N 0053 0027 0077 0014 0817 0012 -1509B Cooperativo Sicredi SA N 0052 0043 0062 0005 0875 0005 -2477B Cooperativo do Brasil SA N 0056 0046 0142 0020 0910 0006 -1479Banco Topazio SA N 0060 0035 0110 0027 0834 0006 -2966Banco Gerador SA N 0069 0045 0122 0028 0852 0008 -1968Banco Randon SA N 0109 0023 0320 0109 0783 0005 -4158Parana Banco SA N 0050 0026 0108 0020 0784 0008 -2799Banco Triangulo SA N 0055 0028 0091 0020 0833 0004 -4201Banco Guanabara SA N 0052 0024 0169 0025 0777 0004 -5588Banco Cedula SA N 0068 0012 0339 0061 0731 0003 -10236Banco Cacique SA N 0077 0028 0248 0077 0785 0016 -1309B Luso Brasileiro SA N 0065 0027 0208 0043 0849 0004 -349Banco Pecunia SA N 0047 0039 0060 0006 0770 0003 -7086Banco Zogbi SA N 0051 0038 0067 0011 0778 0001 -15193Banco Daycoval SA N 0054 0023 0131 0026 0783 0004 -5522B John Deere SA N 0059 0018 0133 0033 0756 0003 -7955Banco AJ Renner SA N 0053 0025 0081 0015 0827 0006 -2742ABN Amro F 0056 0039 0079 0014 0914 0002 -427Chase F 0068 0014 0228 0049 0790 0008 -2678LLoyds F 0053 0027 0064 0012 0825 0003 -5159BankBoston F 0057 0040 0099 0020 0902 0006 -1638Santander Brasil F 0057 0034 0097 0017 0890 0008 -146Citibank F 0059 0026 0153 0028 0875 0003 -4039BNL F 0055 0041 0097 0019 0840 0006 -2767Sudameris F 0056 0048 0065 0005 0966 0012 -297Societe Generale F 0060 0024 0153 0031 0826 0006 -299Europeu F 0054 0032 0073 0013 0848 0007 -2287ABC-Brasil F 0052 0025 0082 0014 0815 0003 -6207Dresdner F 0083 0017 0280 0074 0815 0006 -3234AGF Braseg F 0051 0031 0100 0016 0794 0004 -4923HSBC F 0057 0046 0092 0010 0971 0006 -466Deutsche F 0068 0013 0160 0036 0857 0004 -3335BNP Paribas F 0050 0037 0068 0007 0824 0005 -3665Barclays F 0052 0024 0089 0021 0771 0008 -2787Rabobank Int Brasil SA F 0058 0022 0166 0028 0842 0003 -5284B Nat de Paris Br SA F 0063 0023 0109 0033 0811 0006 -3331Ibibank SA - Banco Multiplo F 0059 0012 0106 0024 0781 0015 -1441Dresdner Bank - B Multiplo F 0086 0016 0244 0068 0768 0008 -2746Banco Westlb Do Brasil SA F 0064 0034 0108 0027 0839 0010 -1626Banco GE Capital SA F 0067 0032 0247 0047 0852 0010 -1527B Com Uruguai SA F 0072 0020 0192 0049 0830 0003 -52281S - State-owned bank N - National bank and F - Foreign bank

42

Table A7 Estimates of Lerner index and return to scale by bank - Model (2)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0049 0032 0085 0016 0944 0008 -716Banrisul S 0049 0032 0106 0017 0939 0008 -75BEC S 0032 0016 0046 0008 0860 0009 -1489BRB S 0049 0030 0112 0017 0961 0002 -1681BB S 0049 0032 0091 0016 0948 0006 -845Caixa Economica Federal S 0052 0034 0081 0014 1012 0003 382B da Amazonia SA S 0053 0015 0140 0028 0847 0008 -1922B do Estado Do Para SA S 0046 0029 0063 0009 0952 0005 -963B do Est do Maranhao SA S 0036 0029 0045 0005 0963 0016 -235B do Est do Piauı SA - Bep S 0036 0023 0071 0011 0888 0005 -2314B do Estado De Sergipe SA S 0050 0020 0155 0024 0962 0004 -1043Nossa Caixa - N Banco SA S 0039 0027 0074 0011 0972 0005 -601Bradesco N 0050 0028 0116 0023 0890 0004 -2618Itau N 0052 0024 0222 0037 0869 0003 -4269Safra N 0046 0028 0100 0017 0867 0003 -5042Unibanco N 0035 0028 0054 0007 0873 0001 -8511Mercantil Do Brasil N 0051 0029 0093 0019 0941 0002 -2837BBM N 0063 0012 0213 0048 0790 0005 -4494BMC N 0034 0023 0049 0007 0851 0003 -4266BMG N 0065 0015 0233 0057 0776 0004 -6135JMalucelli N 0052 0018 0080 0016 0720 0003 -9566PEBB N 0037 0014 0108 0025 0732 0009 -3086SS N 0056 0024 0236 0046 0797 0007 -2849Sofisa N 0052 0018 0107 0028 0808 0002 -8115BIC N 0057 0026 0259 0050 0850 0006 -2531Schahin N 0047 0022 0225 0041 0845 0007 -2359Stock N 0078 0017 0287 0071 0843 0006 -2782Pine N 0048 0018 0114 0023 0811 0004 -4973Socopa N 0050 0022 0136 0024 0908 0003 -3089Intercap N 0051 0019 0133 0031 0832 0006 -2759Indusval N 0061 0023 0267 0052 0866 0006 -2437Bonsucesso N 0050 0017 0109 0026 0791 0006 -3655Industrial do Brasil N 0044 0024 0079 0015 0816 0002 -8095Votorantim N 0048 0025 0120 0026 0807 0007 -2721Cacique N 0033 0020 0039 0006 0782 0005 -4597Inter Amex N 0035 0025 0045 0007 0844 0006 -2419Alfa N 0042 0029 0069 0013 0801 0002 -12139Rendimento N 0049 0019 0077 0015 0889 0008 -1394Bancoob N 0065 0057 0073 0006 0855 0003 -4199Original N 0099 0019 0299 0096 0732 0006 -4473Banco Intermedium SA N 0062 0032 0081 0019 0754 0006 -4393

Table A7 ndash Continue on next page

43

Table A7 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0059 0016 0239 0051 0778 0003 -6944Banco BBN SA N 0035 0020 0053 0009 0834 0011 -1466B Cooperativo Sicredi SA N 0045 0032 0070 0011 0881 0005 -2581B Cooperativo do Brasil SA N 0045 0029 0147 0025 0922 0006 -1274Banco Topazio SA N 0076 0043 0138 0038 0861 0005 -2569Banco Gerador SA N 0089 0054 0153 0037 0874 0008 -1645Banco Randon SA N 0122 0029 0335 0113 0803 0005 -388Parana Banco SA N 0033 0020 0062 0011 0800 0009 -234Banco Triangulo SA N 0052 0022 0105 0027 0841 0004 -4148Banco Guanabara SA N 0046 0019 0091 0020 0793 0004 -5561Banco Cedula SA N 0062 0011 0359 0067 0749 0003 -9911Banco Cacique SA N 0049 0020 0157 0048 0791 0016 -1315Banco Luso Brasileiro SA N 0066 0022 0241 0055 0870 0005 -2851Banco Pecunia SA N 0032 0027 0036 0003 0787 0003 -6876Banco Zogbi SA N 0032 0026 0037 0005 0784 0002 -13006Banco Daycoval SA N 0053 0019 0139 0036 0784 0004 -6065Banco John Deere SA N 0035 0016 0073 0016 0761 0003 -8278Banco AJ Renner SA N 0047 0021 0083 0015 0844 0006 -2553ABN Amro F 0035 0027 0047 0006 0889 0002 -7231Chase F 0054 0013 0157 0033 0804 0007 -2702LLoyds F 0033 0020 0043 0008 0821 0003 -5429BankBoston F 0036 0026 0060 0011 0888 0006 -1917Santander Brasil F 0055 0025 0115 0030 0864 0008 -1647Citibank F 0051 0020 0132 0025 0860 0003 -4735BNL F 0036 0026 0062 0012 0843 0005 -2959Sudameris F 0036 0031 0040 0004 0949 0011 -468Societe Generale F 0051 0018 0104 0024 0835 0007 -2454Europeu F 0034 0025 0041 0006 0859 0007 -2076ABC-Brasil F 0043 0026 0086 0015 0813 0003 -5797Dresdner F 0050 0014 0190 0046 0824 0004 -3975AGF Braseg F 0044 0024 0068 0014 0810 0005 -4109HSBC F 0052 0031 0110 0021 0948 0007 -776Deutsche F 0054 0012 0166 0030 0866 0005 -2754BNP Paribas F 0049 0028 0073 0013 0818 0004 -4092Barclays F 0065 0028 0121 0027 0811 0005 -4028Rabobank Int Brasil SA F 0047 0017 0102 0017 0845 0003 -4605B Nat de Paris Brasil SA F 0036 0017 0054 0013 0819 0005 -3304Ibibank SA - Banco Multiplo F 0043 0010 0114 0025 0782 0013 -1623Dresdner Bank - B Multiplo F 0096 0015 0270 0076 0785 0007 -2924Banco Westlb Do Brasil SA F 0041 0026 0062 0013 0853 0010 -154Banco GE Capital SA F 0054 0026 0253 0049 0862 0010 -1444B Com Uruguai SA F 0070 0017 0220 0058 0849 0003 -4471S - State-owned bank N - National bank and F - Foreign bank

44

Table A8 Estimates of Lerner index and return to scale by bank - Model (3)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0034 0090 0016 0941 0008 -772Banrisul S 0051 0032 0108 0016 0938 0008 -772BEC S 0035 0018 0051 0009 0856 0009 -1562BRB S 0052 0032 0122 0018 0958 0002 -1793BB S 0052 0035 0085 0015 0951 0006 -809Caixa Economica Federal S 0054 0039 0098 0014 1015 0003 465B da Amazonia SA S 0053 0014 0113 0024 0845 0008 -1977B do Estado Do Para SA S 0049 0028 0071 0010 0947 0005 -1117B do E do Maranhao SA S 0041 0032 0059 0008 0957 0015 -285B do E do Piauı SA - Bep S 0041 0028 0086 0014 0882 0005 -2518B do Estado De Sergipe SA S 0052 0021 0145 0022 0957 0004 -1182Nossa Caixa - N Banco SA S 0045 0029 0081 0015 0971 0005 -651Bradesco N 0052 0029 0101 0021 0893 0004 -2614Itau N 0054 0025 0203 0034 0872 0003 -4328Safra N 0048 0029 0093 0015 0869 0003 -5008Unibanco N 0041 0028 0067 0010 0874 0001 -8514Mercantil Do Brasil N 0053 0026 0095 0018 0939 0002 -29BBM N 0067 0013 0250 0056 0789 0005 -4501BMC N 0038 0024 0069 0010 0849 0003 -4408BMG N 0067 0015 0233 0058 0776 0004 -6374JMalucelli N 0052 0022 0087 0016 0720 0003 -9426PEBB N 0045 0014 0158 0040 0727 0009 -3192SS N 0057 0025 0231 0046 0797 0007 -287Sofisa N 0053 0018 0116 0026 0807 0002 -8444BIC N 0059 0030 0250 0049 0850 0006 -2596Schahin N 0048 0023 0220 0038 0842 0007 -2424Stock N 0083 0017 0304 0077 0838 0006 -2873Pine N 0049 0019 0105 0020 0810 0004 -5103Socopa N 0050 0026 0111 0018 0903 0003 -3253Intercap N 0055 0020 0196 0036 0828 0006 -283Indusval N 0062 0029 0282 0052 0863 0005 -2588Bonsucesso N 0051 0017 0118 0025 0789 0006 -3771Industrial do Brasil N 0046 0025 0086 0015 0815 0002 -8341Votorantim N 0050 0027 0128 0027 0809 0007 -2664Cacique N 0037 0020 0048 0009 0781 0005 -4645Inter Amex N 0039 0026 0058 0009 0842 0006 -2468Alfa N 0044 0031 0072 0011 0801 0002 -11998Rendimento N 0049 0022 0078 0011 0885 0008 -1463Bancoob N 0066 0057 0077 0007 0854 0003 -4342Original N 0102 0019 0301 0096 0730 0006 -4526Banco Intermedium SA N 0059 0027 0083 0020 0752 0006 -4354

Table A8 ndash Continue on next page

45

Table A8 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0017 0217 0054 0776 0003 -7084Banco BBN SA N 0038 0022 0058 0010 0831 0011 -1492B Cooperativo Sicredi SA N 0047 0035 0071 0010 0879 0005 -259B Cooperativo do Brasil SA N 0046 0035 0128 0020 0919 0006 -1339Banco Topazio SA N 0075 0036 0153 0041 0855 0005 -2657Banco Gerador SA N 0091 0057 0144 0034 0869 0008 -173Banco Randon SA N 0124 0029 0332 0112 0799 0005 -4023Parana Banco SA N 0036 0021 0071 0012 0797 0008 -2452Banco Triangulo SA N 0053 0023 0115 0027 0839 0004 -4256Banco Guanabara SA N 0047 0020 0100 0019 0790 0004 -561Banco Cedula SA N 0066 0012 0362 0068 0747 0003 -10082Banco Cacique SA N 0063 0026 0231 0074 0789 0016 -1336Banco Luso Brasileiro SA N 0066 0026 0249 0053 0865 0005 -2985Banco Pecunia SA N 0034 0029 0041 0004 0784 0003 -7038Banco Zogbi SA N 0036 0027 0046 0006 0782 0002 -13399Banco Daycoval SA N 0054 0019 0131 0034 0784 0004 -607Banco John Deere SA N 0039 0015 0083 0018 0761 0003 -8316Banco AJ Renner SA N 0049 0024 0073 0013 0840 0006 -2621ABN Amro F 0041 0030 0066 0009 0890 0002 -6866Chase F 0059 0013 0173 0039 0801 0007 -2733LLoyds F 0038 0021 0055 0010 0821 0003 -5484BankBoston F 0040 0028 0063 0012 0888 0006 -1931Santander Brasil F 0056 0028 0107 0027 0866 0008 -1663Citibank F 0052 0022 0123 0023 0860 0003 -4735BNL F 0039 0028 0063 0014 0841 0005 -2966Sudameris F 0041 0036 0052 0006 0948 0011 -473Societe Generale F 0052 0020 0103 0022 0833 0006 -2579Europeu F 0038 0030 0049 0007 0856 0007 -2153ABC-Brasil F 0046 0029 0079 0014 0813 0003 -5935Dresdner F 0055 0014 0212 0052 0822 0005 -3913AGF Braseg F 0046 0027 0071 0014 0806 0005 -4276HSBC F 0053 0032 0101 0019 0949 0007 -784Deutsche F 0058 0013 0141 0029 0863 0005 -2878BNP Paribas F 0051 0030 0074 0012 0818 0004 -4118Barclays F 0066 0025 0130 0030 0805 0005 -4123Rabobank Int Brasil SA F 0049 0019 0109 0018 0844 0003 -4752B Nat de Paris Brasil SA F 0041 0019 0069 0018 0817 0005 -3368Ibibank SA - Banco Multiplo F 0046 0010 0095 0021 0781 0014 -1617Dresdner Bank - B Multiplo F 0093 0017 0282 0072 0782 0008 -2899Banco Westlb Do Brasil SA F 0044 0027 0069 0015 0850 0009 -1591Banco GE Capital SA F 0055 0026 0249 0046 0859 0009 -1489B Com Uruguai SA F 0071 0017 0228 0056 0845 0003 -46241S - State-owned bank N - National bank and F - Foreign bank

46

Table A9 Estimates of Lerner index and return to scale by bank - Model (4)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0054 0041 0078 0011 0939 0007 -873Banrisul S 0055 0040 0106 0014 0948 0008 -692BEC S 0046 0020 0072 0014 0846 0009 -1746BRB S 0057 0032 0094 0016 0959 0002 -1673BB S 0057 0038 0095 0014 0981 0006 -33Caixa Economica Federal S 0061 0049 0165 0021 1042 0003 1249B da Amazonia SA S 0056 0015 0117 0022 0844 0008 -2047B do Estado Do Para SA S 0059 0025 0103 0020 0936 0004 -1701B do E Do Maranhao SA S 0052 0044 0062 0005 0936 0014 -448B do E Do Piauı SA - Bep S 0054 0029 0147 0028 0865 0004 -3201B do Estado De Sergipe SA S 0061 0023 0168 0026 0947 0004 -1484Nossa Caixa - N Banco SA S 0054 0035 0085 0012 0977 0004 -547Bradesco N 0056 0036 0107 0017 0919 0004 -2123Itau N 0058 0030 0212 0032 0896 0003 -3979Safra N 0052 0035 0107 0013 0882 0003 -445Unibanco N 0052 0035 0082 0013 0892 0001 -7446Mercantil Do Brasil N 0057 0027 0093 0015 0942 0002 -2687BBM N 0075 0015 0294 0064 0784 0005 -4512BMC N 0050 0029 0074 0011 0846 0003 -472BMG N 0065 0016 0202 0047 0779 0003 -7192JMalucelli N 0048 0022 0071 0014 0720 0003 -8923PEBB N 0061 0016 0172 0044 0704 0008 -382SS N 0056 0033 0213 0037 0799 0007 -2875Sofisa N 0053 0020 0087 0019 0805 0002 -9731BIC N 0061 0033 0269 0048 0854 0005 -2768Schahin N 0053 0027 0205 0034 0836 0006 -2627Stock N 0081 0020 0265 0068 0820 0006 -3122Pine N 0052 0022 0118 0021 0808 0004 -5467Socopa N 0054 0026 0114 0016 0888 0003 -3785Intercap N 0057 0023 0203 0035 0815 0006 -2877Indusval N 0062 0029 0239 0043 0857 0005 -3085Bonsucesso N 0052 0019 0088 0018 0782 0005 -403Industrial do Brasil N 0050 0030 0076 0015 0809 0002 -9427Votorantim N 0051 0036 0102 0017 0817 0008 -2222Cacique N 0050 0023 0067 0013 0776 0005 -4659Inter Amex N 0052 0035 0064 0009 0837 0007 -2226Alfa N 0048 0039 0071 0007 0805 0002 -11484Rendimento N 0052 0022 0076 0013 0874 0008 -1571Bancoob N 0057 0045 0071 0011 0855 0003 -5022Original N 0094 0017 0278 0090 0730 0006 -4242Banco Intermedium SA N 0049 0027 0065 0014 0746 0006 -4054

Table A9 ndash Continue on next page

47

Table A9 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0019 0220 0050 0764 0003 -7516Banco BBN SA N 0050 0027 0072 0013 0819 0012 -1529B Cooperativo Sicredi SA N 0051 0041 0068 0006 0875 0005 -2551B Cooperativo do Brasil SA N 0053 0044 0134 0018 0910 0006 -151Banco Topazio SA N 0066 0035 0128 0036 0837 0005 -2981Banco Gerador SA N 0082 0045 0157 0043 0854 0007 -1967Banco Randon SA N 0106 0026 0312 0105 0786 0005 -4204Parana Banco SA N 0048 0025 0102 0018 0787 0008 -2768Banco Triangulo SA N 0054 0027 0088 0021 0834 0004 -427Banco Guanabara SA N 0051 0023 0161 0025 0780 0004 -5659Banco Cedula SA N 0069 0012 0360 0065 0735 0003 -1028Banco Cacique SA N 0073 0027 0240 0075 0786 0016 -1327Banco Luso Brasileiro SA N 0065 0026 0242 0047 0852 0004 -346Banco Pecunia SA N 0045 0037 0056 0006 0773 0003 -7139Banco Zogbi SA N 0048 0036 0064 0010 0779 0001 -15057Banco Daycoval SA N 0055 0022 0126 0030 0784 0004 -568Banco John Deere SA N 0056 0018 0125 0031 0757 0003 -8084Banco AJ Renner SA N 0051 0025 0077 0013 0829 0006 -2763ABN Amro F 0053 0038 0074 0013 0909 0002 -4803Chase F 0066 0014 0220 0046 0793 0008 -2711LLoyds F 0050 0026 0060 0011 0825 0003 -5323BankBoston F 0054 0038 0092 0018 0899 0006 -1734Santander Brasil F 0056 0033 0098 0019 0885 0007 -1529Citibank F 0059 0025 0145 0030 0872 0003 -421BNL F 0052 0039 0091 0018 0840 0006 -2854Sudameris F 0053 0046 0062 0005 0961 0011 -352Societe Generale F 0058 0023 0144 0028 0827 0006 -2968Europeu F 0052 0031 0069 0012 0849 0007 -23ABC-Brasil F 0051 0028 0091 0015 0815 0003 -6225Dresdner F 0078 0017 0271 0071 0816 0005 -339AGF Braseg F 0050 0030 0094 0015 0797 0004 -4873HSBC F 0057 0045 0116 0016 0966 0006 -562Deutsche F 0066 0013 0151 0034 0858 0004 -3316BNP Paribas F 0050 0036 0071 0010 0823 0005 -3772Barclays F 0057 0024 0102 0025 0777 0007 -3003Rabobank Int Brasil SA F 0057 0021 0157 0026 0842 0003 -5266B Nat de Paris Brasil SA F 0059 0023 0102 0030 0812 0006 -3387Ibibank SA - Banco Multiplo F 0056 0012 0100 0023 0781 0015 -148Dresdner Bank - B Multiplo F 0084 0016 0237 0064 0771 0008 -2798Banco Westlb Do Brasil SA F 0061 0033 0101 0025 0841 0010 -1646Banco GE Capital SA F 0063 0031 0238 0044 0853 0010 -1548B Com Uruguai SA F 0074 0020 0226 0056 0833 0003 -51921S - State-owned bank N - National bank and F - Foreign bank

48

Table A10 Estimates of Lerner index and return to scale by bank - Model (5)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0043 0093 0012 0940 0007 -834Banrisul S 0054 0041 0083 0009 0949 0008 -668BEC S 0046 0020 0075 0014 0846 0009 -1719BRB S 0058 0032 0121 0017 0960 0002 -1607BB S 0056 0037 0087 0010 0981 0006 -321Caixa Economica Federal S 0061 0050 0156 0019 1044 0003 1282B da Amazonia SA S 0057 0016 0115 0023 0843 0008 -2023B do Estado Do Para SA S 0059 0027 0102 0020 0938 0004 -1608B do E Do Maranhao SA S 0052 0042 0064 0006 0939 0015 -418B do E Do Piauı SA - Bep S 0054 0029 0138 0025 0866 0004 -3097B do Estado De Sergipe SA S 0059 0024 0136 0020 0949 0004 -1404Nossa Caixa - N Banco SA S 0055 0036 0088 0013 0979 0004 -494Bradesco N 0056 0037 0108 0016 0918 0004 -2108Itau N 0058 0031 0213 0033 0894 0003 -3968Safra N 0052 0036 0086 0010 0881 0003 -4388Unibanco N 0053 0037 0085 0013 0892 0001 -7433Mercantil Do Brasil N 0057 0027 0086 0012 0943 0002 -2619BBM N 0075 0015 0292 0063 0784 0005 -447BMC N 0050 0029 0077 0012 0846 0003 -4648BMG N 0067 0017 0220 0051 0777 0003 -7116JMalucelli N 0049 0022 0083 0016 0718 0003 -8879PEBB N 0060 0017 0176 0044 0704 0008 -3743SS N 0059 0032 0223 0041 0798 0007 -2847Sofisa N 0055 0021 0112 0022 0804 0002 -9624BIC N 0060 0032 0238 0041 0853 0005 -2725Schahin N 0055 0028 0228 0038 0836 0006 -2575Stock N 0082 0019 0267 0068 0821 0006 -3063Pine N 0052 0022 0096 0018 0808 0004 -5392Socopa N 0055 0027 0113 0016 0889 0003 -3694Intercap N 0060 0023 0210 0037 0814 0006 -2856Indusval N 0062 0029 0245 0044 0857 0005 -3023Bonsucesso N 0053 0020 0113 0022 0781 0005 -3999Industrial do Brasil N 0051 0030 0084 0016 0808 0002 -9274Votorantim N 0052 0037 0130 0022 0816 0008 -2227Cacique N 0049 0024 0065 0012 0775 0005 -4632Inter Amex N 0052 0034 0067 0011 0837 0007 -2236Alfa N 0047 0041 0056 0004 0804 0002 -11448Rendimento N 0053 0022 0079 0011 0874 0008 -1549Bancoob N 0056 0050 0064 0005 0856 0003 -4874Original N 0087 0018 0288 0093 0728 0006 -4259Banco Intermedium SA N 0055 0027 0078 0019 0744 0006 -4047

Table A10 ndash Continue on next page

49

Table A10 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0217 0048 0763 0003 -7417Banco BBN SA N 0051 0026 0075 0014 0820 0012 -1504B Cooperativo Sicredi SA N 0051 0040 0061 0005 0876 0005 -2499B Cooperativo do Brasil SA N 0054 0043 0136 0019 0912 0006 -1445Banco Topazio SA N 0061 0034 0109 0026 0838 0006 -2897Banco Gerador SA N 0073 0052 0124 0026 0855 0008 -1918Banco Randon SA N 0120 0024 0327 0114 0785 0005 -4153Parana Banco SA N 0048 0026 0106 0020 0786 0008 -2732Banco Triangulo SA N 0055 0027 0111 0022 0834 0004 -4227Banco Guanabara SA N 0052 0024 0153 0024 0779 0004 -5589Banco Cedula SA N 0069 0012 0339 0062 0734 0003 -10232Banco Cacique SA N 0076 0027 0246 0076 0785 0016 -1317Banco Luso Brasileiro SA N 0067 0027 0207 0047 0852 0004 -3379Banco Pecunia SA N 0046 0038 0054 0006 0773 0003 -71Banco Zogbi SA N 0047 0037 0061 0010 0778 0001 -14931Banco Daycoval SA N 0054 0022 0126 0026 0782 0004 -5661Banco John Deere SA N 0056 0018 0129 0031 0756 0003 -8043Banco AJ Renner SA N 0053 0025 0080 0015 0829 0006 -2716ABN Amro F 0053 0038 0074 0012 0908 0002 -4751Chase F 0067 0014 0225 0047 0792 0008 -2693LLoyds F 0049 0025 0064 0012 0824 0003 -5227BankBoston F 0054 0037 0096 0020 0899 0006 -1701Santander Brasil F 0057 0033 0103 0019 0884 0008 -1511Citibank F 0059 0026 0154 0028 0871 0003 -4204BNL F 0052 0037 0097 0020 0840 0006 -28Sudameris F 0052 0045 0058 0005 0962 0011 -334Societe Generale F 0060 0023 0151 0031 0827 0006 -2924Europeu F 0050 0032 0066 0012 0849 0007 -2263ABC-Brasil F 0051 0025 0079 0014 0814 0003 -617Dresdner F 0080 0017 0276 0073 0816 0005 -3374AGF Braseg F 0050 0031 0093 0015 0796 0004 -4812HSBC F 0057 0043 0093 0011 0966 0006 -541Deutsche F 0066 0013 0155 0035 0858 0004 -3244BNP Paribas F 0050 0035 0067 0008 0822 0005 -3775Barclays F 0056 0024 0113 0025 0778 0007 -305Rabobank Int Brasil SA F 0057 0021 0163 0027 0842 0003 -5208B Nat de Paris Brasil SA F 0058 0022 0100 0029 0812 0006 -3343Ibibank SA - Banco Multiplo F 0057 0012 0099 0023 0780 0015 -1478Dresdner Bank - B Multiplo F 0087 0016 0244 0068 0770 0008 -2768Banco Westlb Do Brasil SA F 0063 0034 0106 0026 0841 0010 -1625Banco GE Capital SA F 0064 0032 0247 0046 0853 0010 -1522B Com Uruguai SA F 0073 0019 0191 0049 0833 0003 -50981S - State-owned bank N - National bank and F - Foreign bank

50

Table A11 Estimates of Lerner index and return to scale by bank - Model (6)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0036 0096 0015 0939 0007 -855Banrisul S 0050 0035 0098 0014 0938 0008 -82BEC S 0041 0019 0067 0012 0855 0009 -1644BRB S 0053 0029 0124 0018 0956 0002 -1996BB S 0051 0032 0088 0013 0954 0006 -807Caixa Economica Federal S 0054 0040 0094 0012 1014 0003 475B da Amazonia SA S 0053 0015 0103 0022 0846 0008 -205B do Estado Do Para SA S 0051 0028 0074 0013 0943 0004 -1319B do E Do Maranhao SA S 0041 0031 0059 0008 0950 0014 -346B do E Do Piauı SA - Bep S 0042 0028 0084 0012 0879 0004 -2727B do Estado De Sergipe SA S 0052 0022 0153 0022 0953 0003 -1377Nossa Caixa - N Banco SA S 0047 0032 0081 0014 0969 0004 -74Bradesco N 0052 0032 0097 0019 0898 0004 -2645Itau N 0054 0027 0190 0031 0877 0003 -4452Safra N 0049 0032 0100 0015 0872 0003 -5056Unibanco N 0043 0032 0067 0010 0878 0001 -8666Mercantil Do Brasil N 0053 0026 0087 0017 0938 0002 -3104BBM N 0066 0013 0251 0056 0792 0005 -4556BMC N 0041 0026 0069 0011 0850 0003 -4582BMG N 0067 0016 0228 0057 0781 0003 -6611JMalucelli N 0051 0022 0089 0017 0725 0003 -9344PEBB N 0046 0015 0157 0039 0728 0008 -3313SS N 0058 0025 0230 0046 0801 0007 -292Sofisa N 0053 0020 0119 0025 0809 0002 -8846BIC N 0060 0029 0262 0049 0852 0005 -2697Schahin N 0049 0025 0229 0040 0843 0006 -2523Stock N 0081 0017 0284 0072 0836 0005 -2986Pine N 0049 0021 0112 0019 0812 0004 -5267Socopa N 0050 0026 0095 0015 0900 0003 -3515Intercap N 0055 0021 0196 0035 0828 0006 -2899Indusval N 0061 0029 0262 0049 0863 0005 -2762Bonsucesso N 0052 0019 0123 0026 0791 0005 -3885Industrial do Brasil N 0046 0027 0088 0015 0816 0002 -8698Votorantim N 0051 0027 0139 0027 0813 0007 -262Cacique N 0039 0022 0050 0009 0784 0005 -4707Inter Amex N 0045 0027 0064 0012 0843 0006 -2493Alfa N 0044 0033 0068 0009 0805 0002 -12111Rendimento N 0050 0022 0073 0010 0883 0008 -1543Bancoob N 0066 0055 0072 0007 0856 0003 -4559Original N 0098 0020 0294 0094 0735 0006 -4509Banco Intermedium SA N 0057 0024 0085 0022 0756 0006 -4324

Table A11 ndash Continue on next page

51

Table A11 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0061 0017 0195 0048 0777 0003 -7233Banco BBN SA N 0042 0023 0059 0012 0831 0011 -1529B Cooperativo Sicredi SA N 0048 0035 0066 0009 0879 0005 -2672B Cooperativo do Brasil SA N 0046 0034 0119 0017 0917 0006 -1439Banco Topazio SA N 0070 0031 0129 0036 0853 0005 -2776Banco Gerador SA N 0086 0057 0148 0034 0867 0007 -1825Banco Randon SA N 0126 0028 0331 0114 0799 0005 -4136Parana Banco SA N 0039 0023 0082 0015 0798 0008 -2556Banco Triangulo SA N 0052 0025 0116 0025 0840 0004 -4363Banco Guanabara SA N 0048 0021 0100 0019 0792 0004 -5683Banco Cedula SA N 0067 0013 0356 0067 0749 0002 -10205Banco Cacique SA N 0067 0026 0232 0073 0792 0015 -1356Banco Luso Brasileiro SA N 0065 0025 0237 0052 0864 0004 -3163Banco Pecunia SA N 0037 0029 0045 0006 0786 0003 -7158Banco Zogbi SA N 0037 0027 0045 0007 0785 0002 -13921Banco Daycoval SA N 0053 0020 0120 0031 0787 0003 -6088Banco John Deere SA N 0043 0017 0099 0022 0764 0003 -8346Banco AJ Renner SA N 0050 0025 0080 0013 0840 0006 -2706ABN Amro F 0043 0035 0067 0008 0894 0002 -6685Chase F 0059 0014 0189 0040 0803 0007 -2772LLoyds F 0039 0021 0055 0012 0824 0003 -5536BankBoston F 0044 0029 0075 0015 0890 0006 -1965Santander Brasil F 0054 0028 0107 0024 0871 0008 -1694Citibank F 0054 0023 0133 0026 0863 0003 -4787BNL F 0042 0028 0078 0018 0843 0005 -2998Sudameris F 0041 0036 0052 0006 0948 0010 -491Societe Generale F 0054 0020 0118 0025 0834 0006 -2716Europeu F 0038 0029 0049 0008 0856 0006 -2239ABC-Brasil F 0046 0028 0084 0014 0816 0003 -6111Dresdner F 0063 0015 0239 0061 0823 0005 -3888AGF Braseg F 0047 0027 0074 0014 0807 0004 -4477HSBC F 0054 0032 0109 0018 0950 0006 -823Deutsche F 0058 0013 0122 0028 0863 0004 -305BNP Paribas F 0051 0032 0070 0011 0822 0004 -4145Barclays F 0064 0024 0128 0029 0802 0005 -4051Rabobank Int Brasil SA F 0051 0019 0130 0021 0846 0003 -4992B Nat de Paris Brasil SA F 0043 0019 0070 0019 0819 0005 -3429Ibibank SA - Banco Multiplo F 0049 0010 0083 0020 0785 0013 -161Dresdner Bank - B Multiplo F 0087 0016 0261 0066 0783 0007 -2901Banco Westlb Do Brasil SA F 0051 0030 0082 0019 0850 0009 -1643Banco GE Capital SA F 0053 0028 0239 0044 0859 0009 -1544B Com Uruguai SA F 0071 0017 0217 0054 0845 0003 -48451S - State-owned bank N - National bank and F - Foreign bank

52

Seacuterie de Textos para Discussatildeo do Curso de Ciecircncias Econocircmicas ndash FACEUFG ndash TD [078]

EDITORIAL FACE ndash Faculdade de Administraccedilatildeo Ciecircncias Contaacutebeis e Ciecircncias Econocircmicas Curso de Ciecircncias Econocircmicas Direccedilatildeo FACE Prof Moiseacutes Ferreira da Cunha Vice-Direccedilatildeo FACE Profordf Andreacutea Freire de Lucena Coordenaccedilatildeo do Curso de Ciecircncias Econocircmicas Prof Tiago Camarinha Lopes NEPEC ndash Nuacutecleo de Estudos e Pesquisas Econocircmicas Coordenaccedilatildeo Prof Seacutergio Fornazier Meyrelles Filho SEacuteRIE DE TEXTOS PARA DISCUSSAtildeO DO CURSO DE CIEcircNCIAS ECONOcircMICAS DA UFG Coordenaccedilatildeo e Equipe de Editoraccedilatildeo Prof Sandro Eduardo Monsueto Adriana Moura Guimaratildees Matheus Henrique de Arauacutejo Dutra

Endereccedilo Campus Samambaia Preacutedio da FACE ndash Rodovia GoiacircniaNova Veneza km 0 ndash CEP 74690-900 Goiacircnia ndash GO Tel (62) 3521 ndash 1390 URL httpwwwfaceufgbreconomia Publicaccedilatildeo cujo objetivo eacute divulgar resultados de estudos que contam com a participaccedilatildeo de pesquisadores do NEPEC As opiniotildees contidas nesta publicaccedilatildeo satildeo de inteira responsabilidade do(s) autor(es) natildeo representando necessariamente o ponto de vista do NEPEC ou da FACEUFG Eacute permitida a reproduccedilatildeo desde que citada a fonte

Page 14: 1(3(& )$&( 8)* · The Dark Side of Prudential MeasuresI Paulo R. Scalco a, Benjamin M. Tabak1, Anderson M. Teixeira aFaculty of Management, Accounting and Economics, Federal University

estimate the full distance input function defined by 12 Besides since the compound error

term (ε = u + v) is the same in the SFA models we use the Maximum Likelihood method

to estimate the model (14) For this it is necessary to assume a hypothesis about the

distribution of the two components

We follow the literature and assume that the random error component v is independent

and identically distributed with a normal distribution zero mean and constant variance

that is v sim N(0 σ2v) On the other hand for the nonnegative component u representing

the banksrsquo mark-up we extend the models of by Coccorese (2014) and Das amp Kumbhakar

(2016) and separating the deviation from the competitive frontier in a deterministic part

which is a function of a vector of explanatory variables Zrsquo of the purely stochastic part

Following the SFA literature we estimate the deterministic component of mark-up si-

multaneously with the parameters of the 14 in the same way as Lopez et al (2018) This

procedure reduces possibility of bias of the estimates when the stochastic term includes

determinants of deviations Thus the mark-up (u) in 14 can be represented by

u = Zrsquoδ + ω (15)

where ω is the stochastic component of mark-up and is defined by a truncated normal

distribution with zero mean and constant variance σ2ω such that ω ge -Zrsquoδ Therefore the

mark-up (u) follows a distribution u sim N+(Zrsquoδ σ2ω)

Combining equations 14 and 15 the model we estimate is as follows

RC = αY + αY Y lnY +Jminus1sumj=1

αjY lnxj + αY TT + Zrsquoδ + ωit + v (16)

In order to verify the impact of prudential measures on the degree of competition we

have included the measures Cerutti et al (2016) as determinants of mark-up in addition to

a measure of concentration represented by the HHI calculated from the total assets of the

banks

12

33 Market Power

To measure the degree of power of each bank we use the traditional measure defined by

Lerner (1934)

L =P minusMC

P (17)

if L = 0 P = MC and for any value L gt 0 P gt MC In the limit L = 1

The connection between the SFA model (equation 16) and the Lerner index is done

rearranging the equation 5 Omitting the error term (v) for simplification we can rewrite

equation 5 as

P middot YC

partlnY

partlnCminus 1 = u

partlnY

partlnCmiddot (18)

Considering that partlnYpartlnC

= (partYpartC

)(CY

) we have

P minusMC

MC=

u

EC

middot (19)

Equation 19 corresponds to an alternative definition of mark-up called θ where the

distance between price and marginal cost is expressed as a fraction of the latter In addition

since the function input distance is dual the cost function we can substitute EC for EY in

equation 19 and after estimating equation 16 and obtain estimates of the mark-up (u) the

estimation of market power can be obtained by replacing the values estimated in equation 19

as follow

θ equiv P minusMC

MC=

u

αY + αY Y lnY +sumJminus1

j=1 αjY ln xj + αY TT (20)

This estimate can be used to obtain the traditional measure of Lerner index as in

equation 16 employing the following formula

L =θ

1 + θ (21)

13

34 Returns to Scale

Finally we can use the estimates of equation 16 to obtain other characteristics of tech-

nology such as the return to scale and the scale bias Formally EC = partlnCpartlnY

= (partCpartY

)(YC) =

MCAC where AC represents the average cost This means that the return to scale is

inversely related to cost elasticity that is RTS = 1EC If EC = 1 we will have constant re-

turns to scale if EC lt 1 we will have increasing returns (economies of scale) and if (EC gt 1)

we will have decreasing returns (diseconomies of scale) Again using the duality condition

between IDF and the cost function we can use the estimates of equation 16 to calculate the

return to scale and scale bias Respectively

RTS =1

αY + αY Y lnY +sumJminus1

j=1 αjY ln xj + αY TT(22)

and

Scale Bias = αY T (23)

If the scale bias parameter (αY T ) is statistically significant and greater than zero this

suggests that technological change is reducing economies of scale over time

4 Database and empirical approach

The database used can be divided into two parts The first part includes the information

of all FI authorized to operate in Brazil by the Brazilian Central Bank (BCB) This infor-

mation is available on the BCBrsquos website through the IFdata system and contains detailed

information on the balance sheet income statement and credit portfolio of all IFs In ad-

dition data are available on an individual basis as well as on financial conglomerates and

prudential conglomerates1 For this work we use the concept of financial conglomerates In

1The BCB defines as a financial conglomerate the group of financial entities directly or unrelated byshareholding or by effective operational control characterized by standard management or by operatingin the market under the same brand or commercial name (Circular note no 1273 from Brazilian CentralBank) The concept of a prudential conglomerate in turn encompasses a broader universe of entities suchas consortium administrators payment institutions and companies that purchase credit operations (Officedocument no 1273 from Brazilian Central Bank)

14

December 2018 there was information on a total of 2753 IFs between commercial banks

or multiple banks with and without commercial portfolios credit cooperatives development

banks among others arranged quarterly since the first quarter of 2000

Our sample was restricted only to commercial banks or multiple banks with commercial

portfolios and savings banks Banks with loan portfolio equal zero and did not contain

information for at least three consecutive years were excluded In the same way we excluded

banks with observations that fell bellow 1st percentile of the sample for each one of variables

used in the model or above 99th percentile only for the dependent variable RC = TRC

Furthermore we chose to work with the data on a semi-annual basis (June and December

base dates) because inconsistencies we have found in some quarterly accounting data After

applying all these criteria our sample was restricted to a panel with only 83 banks between

the first half of 2000 and the second half of 2014 totaling 1818 observations2 In terms

of representativeness our sample with only 83 banks corresponded to 794 of the total

assets and 817 of the credit portfolio of the entire SFN in December 2014

The second database was obtained from Cerutti et al (2016) In this unprecedented

database the focus is on the change and intensity in the use of a set of prudential instruments

classified as micro-prudential and macro-prudential3 They collect the data for 64 countries

with a quarterly period covering the period between the first quarter of 2000 and the fourth

quarter of 2014 In the database in addition to a considerable number of countries the

information collected by the authors has the objective of mapping the intensity and the

change occurring quarterly in each of the prudential instruments

The original instruments of the database are the capital requirement capital buffer

interbank exposure limit concentration limit maximum loan amount commonly known as

Loan-to-value and reserve requirement

Concerning the capital requirement instrument we can understand it as an imposition

2Although the BCB has information until the second half of 2018 the database with prudential variablesavailable in the article by Cerutti et al (2016) goes only until the second half of 2014

3The database of Cerutti et al (2016) is a considerable advance to the available prudential data collectedso far in Lim et al (2011) and Cerutti et al (2017a) In both studies the focus is on only identifying whetheror not the country has implemented the appropriate prudential instrument

15

for a compulsory deposit with the BCB of demand deposits of financial institutions Capital

buffer serves as a buffer against countercyclical capital whose purpose is to protect the

banking sector in periods of excessive credit growth which is associated with increased

systemic risk On the other hand in periods of credit constraint the buffering capital may

decrease and thus not affecting the performance of the real side of the economy

The interbank exposure limit is a liability limiter maintained by the banking sector as a

whole or by a particular bank By the concentration limit we mean a procedure that limits

the fraction of assets concentrated to a limited number of borrowers

Loan-to-value is a restriction to the borrower or activity It is the imposition of maximum

amounts of loans on the value of collateral or even maximum amounts of indebtedness to the

income of the borrower Finally we can interpret a reserve requirement as an instrument

whose purpose is to limit the multiplication of money in the economy through the imposition

of compulsory deposits with the Central Bank

The prudential capital buffer instrument was broken down into the following categories

general capital requirement real estate credit consumer credit and others We decompose

the reserve requirement instrument into two sub-indices local domestic currency and foreign

currency

Information on intensity and change in prudential tooling is collected as follows by the

researchers If the financial regulator tightens the instrument in question in a specific quarter

the index assumes a value of +1 On the other hand if the same instrument undergoes

relaxation or loosening the value of minus1

Finally the index receives a value of zero if there was no change in the prudential

instrument in that quarter4 According to Cerutti et al (2016) in addition to capturing the

intensity of change in such a prudential policy this type of coding incorporates qualitative

characteristics of the policy that are lost by the type of dichotomous coding (1 if implemented

and 0 otherwise) Despite the simplicity of the coding used it is imperfectly able to measure

direction in policy change Not all the instruments available on the original basis were used

4For more details on how the base was built see Cerutti et al (2016)

16

because some measures were not implemented by the BCB Examples are the capital buffer

for real estate credit the concentration limit of banks to sectors or borrowers and the limit

on interbank exposure

Moreover due to the low variability in most measures and the semi-annual structure

of the database obtained in the BCB we chose to use the cumulative indexes of variation

According to Cerutti et al (2016) the purpose of this cumulative index is to capture the

level of tightness or looseness over a given period Finally to capture an overall measure of

prudential instruments we aggregate all variations of prudential instruments into a single

aggregate instrument called cumulative prudential Table A5 attached illustrates the

change and the intensity of the prudential instruments implemented by Brazil according to

the data collected by Cerutti et al (2016)

Our empirical strategy consists in estimating the equation 16 by Maximum Likelihood in

a two-stage procedure wherein the first stage we obtain the estimates of the parameters of

the equation and in the second stage we calculate the estimates of uit using the conditional

mean estimator of Jondrow et al (1982)

After obtaining the estimates of u and RC equiv EY we use equation 20 to calculate the

estimated values of θ which are used to calculat e the Lerner Index (L) according to

equation 21

We estimated six models wif different sets of deterministic variables (prudential measures)

to control the parameter of market power (uit) In the first model we did not add any

controls In the second we include only the HHI In the third specification we include the

capital buffer and capital requirement The fourth model uses only the loan-to-value In the

fifth model we include reserve requirements in both foreign and local currency and in the

last model we include the cumulative prudential measure which is the sum of the changes

in all other prudential measures

The inclusion of prudential variables in a separated way was necessary because they

represent only the tightening or the loosening of the prudential instrument Therefore they

do not represent the change in the magnitude of the prudential instrument As such the

variables have little variability and the high correlation generated between them causes

17

severe problems in the estimation process by maximum likelihood In general the tests with

the aggregate models did not reach the convergence of likelihood function even using different

strategies for initial values or optimization algorithm and when the optimization reaches an

optimal state the estimates were inconsistent For this reason we chose to estimate simpler

models including prudential variables separately or at most two when they represented

similar measures

Besides two critical events occurred in the second half of 2008 and significantly changed

the structure and dynamics of the banking industry in Brazil The outbreak of the subprime

crisis in the US and the acquisition of Unibanco by Itau in Brazil5 Itau-Unibanco has become

the largest bank in Brazil (Itau-Unibanco) accounting for 191 of total SFN assets and

184 of the total loan portfolio in the second half of 2008

We can observe the increase in market concentration in Figure 1 which represents HHI

concentration indices for total assets and total credit portfolio The increase in concentra-

tion levels of the banking industry on the other hand also coincides temporarily with the

outbreak of the GFC and an increase in rigidity in prudential instruments after the onset of

the crisis6

These events result in a high correlation between the variables and making it more

difficult to isolate the effects of each variable on the parameter of market power In this

way we also chose to estimate an HHI-only model as the control variable of market power

(uit)

Figure 1 Evolution of the Herfindahl Index (HHI) over time using credit and total assets

for the Brazilian banking system

We summarize the description of the variables that we will use in the estimation of

5Unibanco was the sixth largest Brazilian bank in the first half of 2008 accounting for 59 of total SFNassets and 6 of the total loan portfolio Also Itau was the third largest bank with 118 of SFN and119 of the loan portfolio

6Cubillas amp Suarez (2018) find the same result as the banksrsquo market power increased shortly after theGFC

18

equation 16 and how we calculate them in Table 1 All variables included in equation 16

except for trend prudential variables an HHI are in the logarithms form

Table 1 Variables used to IDF estimatation

5 Empirical Results

We present the results of the models in Table 2 Initially focusing on the interpretation

of the parameters of the input-distance function we verified that the size of the IF credit

portfolio (lnY ) has a negative sign but it was significant only for models 1 4 and 5 This

result implies that the larger the portfolio size the lower the revenue-cost ratio of the FI

Table 2 Results of IDF estimation

The coefficients of Staff costs (lnx1) and volume of funding (lnx2) were also negative

and significant in all models Thus the higher the staff costs and the higher the funding

volume the lower the cost-to-cost ratio of the FIs The trend variable as established by

equation 23 represents the scale bias and the negative sign would indicate that technological

change would increase economies of scale over time however no estimate was significant

51 Impact of Prudential Measures on Mark-up

The evaluation of the variables that determine the mark-up parameter (u) shows that

all of them are statistically significant and positive The SFA model is not linear in these

parameters Therefore the value of the coefficients does not represent the effect of the

magnitude of changes in the variables on the mark-up (their elasticities) However we can

estimate their marginal effects We present them for each variable in Figure 2

19

Figure 2 Marginal effects of HHI and prudential instruments (Capital Buffer Capital

RequirementLTV Reserve Requirement (Foreign) Reserve Requirement (domestic) and

cumulative prud) on themark-upucomponent

The positive sign of HHI in model 2 means that the more concentrated the banking

industry is the higher the market power of FIs This result is in line with that established by

the traditional structure-conduct-performance paradigm (Schmalensee 1989) However as

can be seen in Figure 1 the increase in the concentration index coincides with the tightening

of the prudential measures stemming from the GFC In this sense we can not say whether

this is the real effect of the increase in market concentration on the market power of FIs or

whether it is affected by the tightening of prudential measures

If we focus on prudential instruments the results for capital buffers and the capital

requirement (model 3) indicate that a tightening in these variables - whose purpose is to

increase banksrsquo capital reserve during positive shocks in the economy - has a detrimental

effect on competition market since they raise the IF mark-ups This effect happens because

this prudential measure influences the smoothing of the credit supply cycle

The same results are present for the loan-to-value variable (model 4) In general this

measure sets limits on the leverage of mortgages and other securities and a tightening in

ltv is effective in controlling possible booms in the real estate market by reducing real estate

prices and ultimately reducing the excess volatility of the economy ((Zhang amp Zoli 2016

Ely et al 2019) According to the result found the higher the limits the greater the market

power of the FIs

With respect to reserve requirements both in foreign and local currency - credit limits

directly in foreign currency and domestic currency respectively - the results (model 5) also

demonstrate a detrimental effect on competition since the tightening in such measures also

implies an increase mark-up of IFs In the model 6 where we introduce the aggregate

prudential measure the result found is similar to the others that is the higher the tightness

(in general) in the prudential measures of the financial system the higher the market power

of FIs

20

Unfortunately since prudential variables represent only a measure of tightening or loos-

ening of prudential policy and not its magnitude we can not accurately assess the impact

of these variables on the mark-up The marginal effects represented in Figure 2 give us only

an idea of how such variables affected the estimated mark-ups

However in general we can say that the positive signs of the estimates mean that the

higher the tightness in these prudential policies the greater the mark-up and consequently

the higher the market power of the FIs Therefore we find a perverse effect on industry

competition and probably a loss of borrowers welfare

Our results are in accordance with the evidence that the increase in prudential rigor has

negative impacts mainly on the supply of credit (Lim et al 2011 Claessens 2015 Aiyar

et al 2014 Gropp et al 2018 Cerutti et al 2017a) Ceteris paribus the increase of IF

mark-ups would be a fully expected effect As highlighted by Claessens amp Laeven (2004) any

policy that restricts the activity of banks and hinders their operation has negative impacts

on market competition

52 Estimation of Lerner indices

Regarding the mark-up estimation the values reported at the bottom of Table 2 corre-

spond to the distance between the observed revenue-cost ratio and its competitive boundary

that is the component u

To interpret the mark-up however we will focus the discussion on the estimates of

Lerner index (equation 21) because they have a more unambiguous economic meaning We

summarize the results of Lerner index for general estimates by type of control and for each

model in Table 3 and the Figure 3 shows their frequency distributions We should emphasize

that these estimates are individuals that is we obtain the estimates for each IF and at each

period t The tables in Annex (A6 to A11) summarizes the estimates of the Lerner index

and the returns to scale for each IF in the sample

Table 3 Estimates of Lerner index general and by type of control

21

Figure 3 Frequency distribution of Lerner indexes for each model and density estimation

Kernel by typeof control

For all six models all mark-up estimates were within the theoretical range of 0 and 1

with the minimum value being 0009 (model 2) and the maximum value 0362 (model 3) In

general the estimated average value was between 0051 (model 2) and 0058 (models 1 and

5) which means that on average Brazilian banks have a mark-up between 51 and 58

These values are slightly different when we separate the estimates by type of control

In the case of state-owned banks the average mark-up was between 0047 (model 2)

and 0057 (model 1) These values are lower in all the estimated models to the values

of (privates) national banks (0052-0057) and foreign banks (0050-0061) However the

medians of estimated values for state-owned banks were higher than the national and foreign

private banks in all models

For comparison purposes these values are considerably lower than the value (016) esti-

mated for Brazil in Coccorese (2014) We believe that this difference is due to the model and

sample used Coccorese (2014) has estimated the dual version of model (equation 5) and

as highlighted by Kumbhakar et al (2012) the use of accounting information to calculate

input prices can generate problems when they are endogenous

Regarding the sample Coccorese (2014) also used a different period from ours (1994 to

2012) and a more significant number of IFs in the sample (189 against 83 used by us) The

main difference here is in the number of IF - 106 in total In this respect it is essential to

note that these FIs constitute small FIs and in the second half of 2014 they held only 37

of total SFN assets and 24 of the total credit portfolio

We tried to replicated the Coccoresersquo sample but in preliminary tests we have found great

difficulties in the models estimations in particular at convergence of likelihood function

We observed these small IFs had in several situations extremely high values for the revenue-

cost ratio or excessively low for the inputs used (personnel expenses and funding) as well

as other problems such as launch errors (positive values in variables of expenditure for

example) and missings For these reasons and considering that such IFs represented only a

22

small fraction of Brazilian credit market we decided to exclude them from the sample

However It is worth highlight as they are small FIs the vast majority operate in particular

segments of the credit market and probably assume a more risk-taking behavior Considering

that they will work with a segment of credit claimants with rdquoworse scoresrdquo than borrowers

using large FIs we expect that the mark-up of these IFs will be higher We can observe

(part of) this phenomenon in Figure 4 where we represent the estimates of the Lerner index

(vertical axis) against market share of total assets (horizontal axis) of our sample and it is

quite evident the smaller banks have the higher mark-ups Therefore as our sample exclude

a large proportion of these small IFs it is natural that Coccorese (2014)rsquo results larger than

ours

Figure 4 Lerner indexes according to the size (market share) of banksrsquo assets

Regardless of this our results seem to adhere well to reality because if we look at Figure

5 we note that the Lerner indices show a significant increase from the second semester of

2008 These results are in agreement with the results of Cubillas amp Suarez (2018) Besides

in Figure 6 Lerner indexes are separated by type of control and we can observe that with

some exceptions the market power has always been lower for state-owned banks especially

considering the period after the GFC

Figure 5 Average Lerner indices for each model between 2000q2 and 2014q4

Figure 6 Average Lerner indices estimated for public private national and private

foreign banks between2000q2 and 2014q4

23

53 Estimation of Returns to Scale

Finally Table 4 and Figure 7 summarize the estimates of returns to scale We highlight

that the average of the returns to the scale of the Brazilian FIs is very close if we comparer

the six estimated models (between 0848 and 0851) Although the values are close to unity

in all IFs we reject the hypotheses of constant returns to the scale that is RTS = 1 therefore

IFs have diseconomies of scale

Table 4 Estimates of returns to scale by control type and general

When we separate estimates by type of control the estimates of state-owned banks

(0937-0944) are higher than national (0824-0829) and foreign banks (0841-0844) This

result means that the scale problem is a problem common to all FIs in Brazil Moreover

state-owned banks runs closer to the constant return region than national and foreign banks

Figure 7 Frequency distribution of the returns to scale indexes for each model and

density estimationKernel by type of control

6 Final Considerations

Considering that the banking industry underwent a significant restructuring in recent

years caused by several mergers and acquisitions in the sector as well as by a severe financial

crisis started in mid 2007 and potentialized in 2008 understand the behavior of market

power and as a (partial) set of prudential instruments influencing this dynamic has become

paramount Thus in an innovative way this paper proposed the use of stochastic frontier

analysis techniques to measure market power for the Brazilian banking industry and to test

if such prudential measures had an impact on the competitive dynamics of sector

The estimated average Lerner index was between 51 and 58 for Brazilian FIs How-

ever when controlled by the type of control we find that state-owned banks have slightly

24

lower estimates than national and foreign banks respectively Also estimates of returns to

scale allow us to infer that FIs operate with diseconomies of scale

Concerning the impact of prudential measures on the market power of FIs our results

generally suggest that tightening of prudential measures have a positive impact on bank

mark-up and consequently have detrimental effects on competition in industry banking

Finally in future research it will be possible to better understand the influence of some

prudential measures in the banking market through the study by type of segment or line of

credit

25

References

Aiyar S Calomiris C W amp Wieladek T (2014) Does macro-prudential regulation leak ev-

idence from a uk policy experiment Journal of Money Credit and Banking 46 181ndash214

URL httpsonlinelibrarywileycomdoiabs101111jmcb12086 doi101111jmcb12086

arXivhttpsonlinelibrarywileycomdoipdf101111jmcb12086

Altunbas Y Binici M amp Gambacorta L (2018) Macroprudential policy and bank risk Journal of

International Money and Finance 81 203ndash220 doihttpsdoiorg101016jjimonfin201711

012

Araujo L A D d amp Jorge Neto P d M (2007) Risco e competicao bancaria no Brasil Revista Brasileira

de Economia 61 175ndash200 URL httpwwwscielobrscielophpscript=sci_abstractamppid=

S0034-71402007000200003amplng=enampnrm=isoamptlng=pt doi101590S0034-71402007000200003

Auer R amp Ongena S (2019) The countercyclical capital buffer and the composition of bank lending

Available at SSRN 3345189

Ayyagari M Beck T amp Peria M (2018) The micro impact of macroprudential policies Firm-level

evidence IMF Working Paper

Barbosa K de Paula Rocha B amp Salazar F (2015) Assessing competition in the banking indus-

try A multi-product approach Journal of Banking amp Finance 50 340ndash362 URL httpwww

sciencedirectcomsciencearticlepiiS0378426614001642 doi101016jjbankfin201405

003

Belaisch A (2003) Do Brazilian Banks Compete SSRN Scholarly Paper ID 879189 Social Science Research

Network Rochester NY URL httpspapersssrncomabstract=879189

Bikker J A Shaffer S amp Spierdijk L K (2012) Assessing competition with the panzar-rosse model

The role of scale costs and equilibrium Economics Letters 94 1025ndash1044

Bresnahan T F (1982) The oligopoly solution concept is identified Economics Letters 10 87ndash92 URL

httpdxdoiorg1010160165-1765(82)90121-5 doi1010160165-1765(82)90121-5

Bresnahan T F amp Reiss P (1991) Entry and competition in concentrated markets Journal of Political

Economy 99 977ndash1009

Camors C amp Peydro J (2014) Macroprudential and monetary policy Loan-level evidence from reserve

requirement Mimeo Universitat Pompeu Fabra URL httpspdfssemanticscholarorgd508

61639bb4e7453a7a39184edf9b0c1e7016a6pdf

Cardoso M Azevedo P F amp Barbosa K (2016) Concorrencia no setor bancario brasileiro bancos

individuais versus conglomerados bancarios (pp 113ndash146) URL httprepositorioipeagovbr

handle110586650

Cerutti E Claessens S amp Laeven L (2017a) The use and effectiveness of macroprudential policies New

26

evidence Journal of Financial Stability 28 203ndash224 doihttpsdoiorg101016jjfs201510

004

Cerutti E Correa R Fiorentino E amp Segalla E (2016) Changes in prudential policy instruments ndash a

new cross-country database IMF Working Paper WP1610

Cerutti E Dagher J amp DellrsquoAriccia G (2017b) Housing finance and real-estate booms A cross-country

perspective Journal of Housing Economics 38 1ndash13

Claessens S (2015) An overview of macroprudential policy tools Annual Re-

view of Financial Economics 7 397ndash422 URL httpsdoiorg101146

annurev-financial-111914-041807 doi101146annurev-financial-111914-041807

arXivhttpsdoiorg101146annurev-financial-111914-041807

Claessens S Ghosh S R amp Mihet R (2013) Macro-prudential policies to mitigate financial system

vulnerabilities Journal of International Money and Finance 39 153ndash185 doihttpsdoiorg10

1016jjimonfin201306023

Claessens S amp Laeven L (2004) What drives bank competition some international evidence Journal

of Money Credit and Banking 36 563ndash583 URL httpwwwjstororgstable3838954

Coccorese P (2014) Estimating the Lerner index for the banking industry a stochastic frontier approach

Applied Financial Economics 24 73ndash88 URL httpdxdoiorg101080096031072013866202

doi101080096031072013866202

Coelho C A De Mello J M amp Rezende L (2013) Do Public Banks Compete with Private

Banks Evidence from Concentrated Local Markets in Brazil Journal of Money Credit and Bank-

ing 45 1581ndash1615 URL httponlinelibrarywileycomdoi101111jmcb12063abstract

doi101111jmcb12063

Cubillas E amp Suarez N (2018) Bank market power and lending during the global financial crisis Jour-

nal of International Money and Finance 89 1ndash22 URL httpwwwsciencedirectcomscience

articlepiiS0261560618303048 doihttpsdoiorg101016jjimonfin201808003

Das A amp Kumbhakar S C (2016) Markup and efficiency of Indian banks an input distance func-

tion approach Empirical Economics (pp 1ndash31) URL httplinkspringercomarticle101007

s00181-015-1062-4 doi101007s00181-015-1062-4

Ely R Tabak B amp Teixeira A (2019) Heterogeneous effects of the implementation of macroprudential

policies on bank risk MPRA Paper No94546

Freixas X Laeven L amp Peydro J-L (2015) Systemic Risk Crises and Macroprudential Regulation

Mit Press URL httpwwwjstororgstablejctt17kk82g

Galati G amp Moessner R (2013) Macroprudential policy ndash a literature review Jour-

nal of Economic Surveys 27 846ndash878 URL httpsonlinelibrarywileycom

27

doiabs101111j1467-6419201200729x doi101111j1467-6419201200729x

arXivhttpsonlinelibrarywileycomdoipdf101111j1467-6419201200729x

Gropp R Mosk T Ongena S amp Wix C (2018) Banks Response to Higher Cap-

ital Requirements Evidence from a Quasi-Natural Experiment The Review of Finan-

cial Studies 32 266ndash299 URL httpsdoiorg101093rfshhy052 doi101093rfshhy052

arXivhttpoupprodsislanrfsarticle-pdf32126627185080hhy052pdf

Hyde C E amp Perloff J M (1995) Can market power be estimated Review of Industrial Organization 10

465ndash485 URL httplinkspringercomarticle101007BF01024231 doi101007BF01024231

Igan D amp Kang H (2011) Do loan-to-value and debt-to-income limits work evidence from korea IMF

Working Papers (pp 1ndash34)

Jimenez G Ongena S Peydro J-L amp Saurina J (2017) Macroprudential policy countercyclical bank

capital buffers and credit supply Evidence from the spanish dynamic provisioning experiments Journal

of Political Economy 125 2126ndash2177 URL httpsdoiorg101086694289 doi101086694289

arXivhttpsdoiorg101086694289

Jondrow J Knox Lovell C A Materov I S amp Schmidt P (1982) On the estimation of technical

inefficiency in the stochastic frontier production function model Journal of Econometrics 19 233ndash

238 URL httpwwwsciencedirectcomsciencearticlepii0304407682900045 doi101016

0304-4076(82)90004-5

Klingelhoger J amp Sun R (2019) Macruprudential policy central banks and financial stability Evidence

from china Journal of International Money and Finance 93 19ndash41 URL httpsdoiorg101016

jjimonfin201812015

Kumbhakar S C (2012) Specification and estimation of primal production models European Journal

of Operational Research 217 509ndash518 URL httpwwwsciencedirectcomsciencearticlepii

S0377221711008939 doi101016jejor201109043

Kumbhakar S C Baardsen S amp Lien G (2012) A New Method for Estimating Market Power with

an Application to Norwegian Sawmilling Review of Industrial Organization 40 109ndash129 URL http

linkspringercomarticle101007s11151-012-9339-7 doi101007s11151-012-9339-7

Lerner A P (1934) The Concept of Monopoly and the Measurement of Monopoly Power The Review

of Economic Studies 1 157ndash175 URL httprestudoxfordjournalsorglookupdoi102307

2967480 doi1023072967480

Lim C H Costa A Columba F Kongsamut P Otani A Saiyid M Wezel T amp Wu X (2011)

Macroprudential policy what instruments and how to use them lessons from country experiences IMF

working papers (pp 1ndash85)

Lopez R A He X amp Azzam A (2018) Stochastic frontier estimation of market

28

power in the food industries Journal of Agricultural Economics 69 3ndash17 URL https

onlinelibrarywileycomdoiabs1011111477-955212219 doi1011111477-955212219

arXivhttpsonlinelibrarywileycomdoipdf1011111477-955212219

Lucinda C R (2010) Competition in the Brazilian loan market an empirical analysis Estudos Economicos

(Sao Paulo) 40 831ndash858 URL httpwwwscielobrscielophpscript=sci_abstractamppid=

S0101-41612010000400004amplng=enampnrm=isoamptlng=en doi101590S0101-41612010000400004

Moreno R (2011) Policymaking from arsquomacroprudentialrsquoperspective in emerging market economies

Nakane M I (2002) A test of competition in brazilian banking Estudos Economicos (Sao Paulo) 32

203ndash224 URL httpwwwrevistasuspbreearticleview117799

Panzar J C amp Rosse J N (1987) Testing for rdquomonopolyrdquo equilibrium The Journal of Industrial

Economics 35 443ndash456 URL httpwwwjstororgstable2098582 doi1023072098582

Richter B Schularick M amp Shim I (2019) The costs of macroprudential policy Journal of Inter-

national Economics 118 263 ndash 282 URL httpwwwsciencedirectcomsciencearticlepii

S0022199618302617 doihttpsdoiorg101016jjinteco201811011

Schmalensee R (1989) Chapter 16 inter-industry studies of structure and performance In Hand-

book of Industrial Organization (pp 951ndash1009) Elsevier BV URL httpdxdoiorg101016

s1573-448x(89)02004-2 doi101016s1573-448x(89)02004-2

Silva M S d () Avaliacao do processo de concentracao-competicao no setor bancario brasileiro URL

httpwwwbcbgovbrpecwpsporttd377pdf

Tabak B amp Gomes G (2015) The impact of market power at bank level in risk-taking The brazilian

case International Review of Financial Analysis 40 154ndash165

Tabak B M Fazio D M amp Cajueiro D O (2012) The relationship between banking market competition

and risk-taking Do size and capitalization matter 36 3366ndash3381 URL httpwwwsciencedirect

comsciencearticlepiiS0378426612002026 doi101016jjbankfin201207022

Wong T Fong T Li K-f amp Choi H (2011) Loan-to-value ratio as a macroprudential tool-hong kongrsquos

experience and cross-country evidence

Zhang L amp Zoli E (2016) Leaning against the wind Macroprudential policy in asia Journal of Asian

Economics 42 33ndash52

29

Figure 1 Evolution of the Herfindahl Index (HHI) over time using credit and total assets for theBrazilian banking system

30

Figure 2 Marginal effects of HHI and prudential instruments (Capital Buffer Capital RequirementLTV Reserve Requirement (Foreign) Reserve Requirement (domestic) and cumulative prud) on the

mark-up u component

31

Figure 3 Frequency distribution of Lerner indexes for each model and density estimation Kernel by typeof control

32

Figure 4 Lerner indexes according to the size (market share) of banksrsquo assets

33

Figure 5 Average Lerner indices for each model between 2000q2 and 2014q4

34

Figure 6 Average Lerner indices estimated for public private national and private foreign banks between2000q2 and 2014q4

35

Figure 7 Frequency distribution of the returns to scale indexes for each model and density estimationKernel by type of control

36

Table 1 Variables used to IDF estimatation

Variabel Description SourceBasic variables

TR Total Revenue = Gross Insterest Income (a) + Bank-ing Service Fee Income (d1) + Banking Fee Income(d2) + Other Operating Income (d7)

Inc statIFData

TC Total Cost = Interest Expenses (b) + Personnel Ex-penses (d3) + Administrative Expenses (d4) + TaxExpenses (d5) + Other Operating Expenses (d8)

Inc statIFData

Y Loan Lease and Other Credit Operations by RiskLevel

SummaryIFData

x1 Personnel Expenses (d3) Inc statIFDatax2 Funding (e) LiabilitiesIFDatax3 Equity (j) LiabilitiesIFData

Model variabelslnRC Log of Revenue-Cost ratiolnY Log of total loanlnx1 Log of personnel expenses and equity ratio (x1x3)lnx2 Log of funding and equity ratio (x2x3)T Time

Prudential variables - Deterministic mark-up parametersHHIt HHIt =

sumS2it where Sit

2 is market share of totalasset of bank i on time t

Inc statIFData

cb cumulative change of capital buffer Cerutti et al (2016)cr cumulative change of capital requirement Cerutti et al (2016)ltv cumulative change of loan-to-value Cerutti et al (2016)

rr foreign cumulative change of reserve requirement (foreigncurrency)

Cerutti et al (2016)

rr local cumulative change of reserve requirement (domesticcurrency)

Cerutti et al (2016)

37

Table 2 Results of IDF estimation

Parameters VariablesEstimates

Model Model Model Model Model Model(1) (2) (3) (4) (5) (6)

Parametros da funcao insumo distanciaαY Y lnY -0013 -0003 -0004 -0012 -0011 -0005

(000) (000) (000) (000) (000) (000)α1Y lnx1 -0096 -0095 -0094 -0094 -0096 -0090

(001) (001) (001) (001) (001) (001)α2Y lnx2 -0019 -0022 -0022 -0019 -0020 -0021

(001) (001) (001) (001) (001) (001)αY T T -0000 -0000 -0000 -0000 -0000 -0000

(000) (000) (000) (000) (000) (000)αY const 1153 1010 1035 1134 1129 1057

(005) (007) (005) (005) (005) (006)

Deterministic Mark-up parametersδ1 HHI 764157

(12270)δ1 Capital

Buffer7586(065)

δ2 CapitalReq

4696(160)

δ1 Loan-to-value38511(671)

δ1 ResR(foreign)10730(433)

δ2 ResR(local)2869(126)

δ1 Cum Prud3237(020)

δ0 const minus10601minus10194minus5306 minus9866 minus8577 minus4993(032) (2064) (316) (079) (119) (122)

Distribution of u and vσ2u 2840 1418 1620 2643 2441 1593σ2v 0118 0121 0120 0118 0118 0120λ 2402 1172 1354 2233 2065 1325Log Lik 887404 922033 918606 896019 891991 907817

EstimatesEstimates of Mark-up (u)Avg 0075 0065 0068 0074 0075 00691st quartile 0052 0038 0051 0051 0051 0044Median 0062 0048 0060 0060 0061 00543st quartile 0080 0074 0079 0079 0079 0075std-dev 0053 0054 0053 0053 0054 0054

Note p lt 010 p lt 005 and p lt 001

38

Table 3 Estimates of Lerner index general and by type of control

EstimatesModel Model Model Model Model Model

(1) (2) (3) (4) (5) (6)Mark-up (L) generalAverage 0058 0051 0053 0057 0058 0053std-dev 0032 0034 0034 0032 0032 00331st quartile 0043 0031 0034 0041 0042 0036Median 0051 0039 0044 0050 0050 00453st quartile 0063 0060 0059 0063 0063 0060Mark-up (L) State-owned banksAverage 0057 0047 0049 0056 0056 0050std-dev 0018 0017 0017 0018 0016 00161st quartile 0047 0035 0038 0045 0046 0040Median 0054 0041 0046 0053 0053 00463st quartile 0064 0056 0056 0064 0063 0057Mark-up (L) National banksAverage 0057 0052 0054 0057 0057 0054std-dev 0034 0038 0038 0035 0035 00371st quartile 0041 0030 0033 0040 0041 0035Median 0050 0038 0043 0048 0049 00443st quartile 0061 0061 0060 0061 0062 0060Mark-up (L) Foreign banksAverage 0061 0050 0053 0059 0060 0054std-dev 0034 0033 0032 0034 0034 00321st quartile 0042 0031 0034 0041 0042 0036Median 0052 0040 0044 0051 0051 00453st quartile 0068 0059 0060 0066 0066 0061

Table 4 Estimates of returns to scale by control type and general

ModelState-owned

banksNational

banksForeignbanks

General std-dev Min Max

1 0944 0824 0842 0848 0073 0665 11242 0940 0829 0843 0851 0066 0690 10733 0938 0827 0842 0849 0066 0689 10764 0941 0824 0842 0848 0071 0671 11115 0942 0824 0841 0848 0072 0669 11136 0937 0829 0844 0850 0065 0692 1073

39

Appendix A Attachment Tables

Table A5 Cumulative change on Prudential Measures intensity

TimeCapitalBuffer 2

(cb)

CapitalReq(cr)

Loan-to-Value(ltv)

Reserve Reqlocal curr

(RR local)

Reserve Reqforeign cur

(RR foreign)

CumulativePrudential 3

(Cum Prud)2000q2 -1 0 0 0 -2 -32000q4 -1 0 0 0 -2 -32001q2 -1 0 0 0 -2 -32001q4 0 0 0 0 -1 -12002q2 0 0 0 0 0 02002q4 2 0 0 0 2 42003q2 0 0 0 0 3 32003q4 0 0 0 0 2 22004q2 0 0 0 0 2 22004q4 0 0 0 0 2 22005q2 0 0 0 0 2 22005q4 0 0 0 0 2 22006q2 0 0 0 0 2 22006q4 0 0 0 0 2 22007q2 2 0 0 0 2 42007q4 2 0 0 0 2 42008q2 2 0 0 0 2 42008q4 2 0 0 0 1 32009q2 2 0 0 0 0 22009q4 2 0 0 0 -1 12010q2 2 0 0 0 1 32010q4 3 0 0 0 3 62011q2 3 0 0 1 3 72011q4 4 0 0 2 3 92012q2 3 1 0 2 3 92012q4 3 1 0 1 2 72013q2 3 2 0 0 2 72013q4 3 2 1 0 2 82014q2 3 2 1 0 2 82014q4 2 2 1 0 3 82Sum of capital buffer and others 3Aggregate measure (It is the sum of the change of all other instrument)

40

Table A6 Estimates of Lerner index and return to scale by bank - Model (1)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0042 0082 0009 0940 0007 -85Banrisul S 0055 0041 0084 0009 0952 0008 -635BEC S 0048 0021 0077 0016 0844 0009 -1756BRB S 0058 0033 0100 0015 0961 0003 -1533BB S 0058 0039 0098 0012 0990 0006 -173Caixa Economica Federal S 0063 0051 0174 0022 1052 0004 1458B da Amazonia SA S 0057 0016 0124 0023 0844 0008 -2028B do Estado Do Para SA S 0061 0026 0110 0022 0936 0004 -1764B do Est do Maranhao SA S 0055 0046 0065 0006 0935 0014 -455B do Est do Piauı SA - Bep S 0057 0030 0155 0029 0862 0004 -326B do Estado De Sergipe SA S 0061 0024 0135 0022 0947 0004 -1453Nossa Caixa - N Banco SA S 0057 0036 0090 0013 0981 0004 -444Bradesco N 0056 0038 0114 0015 0925 0004 -1945Itau N 0059 0031 0220 0033 0901 0003 -3797Safra N 0053 0037 0085 0009 0885 0003 -4215Unibanco N 0055 0037 0088 0014 0897 0001 -7054Mercantil Do Brasil N 0057 0027 0077 0011 0945 0002 -2527BBM N 0076 0016 0300 0065 0783 0005 -4464BMC N 0052 0030 0079 0012 0845 0003 -4703BMG N 0065 0017 0208 0045 0779 0003 -729JMalucelli N 0047 0022 0069 0013 0718 0003 -8765PEBB N 0065 0017 0181 0047 0698 0008 -3914SS N 0057 0034 0220 0037 0799 0007 -2839Sofisa N 0054 0021 0092 0020 0804 0002 -9903BIC N 0060 0034 0236 0040 0855 0005 -276Schahin N 0056 0028 0214 0035 0835 0006 -262Stock N 0081 0020 0267 0067 0817 0006 -3107Pine N 0052 0022 0108 0019 0808 0004 -545Socopa N 0056 0027 0120 0017 0886 0003 -3806Intercap N 0060 0023 0212 0037 0812 0007 -2851Indusval N 0062 0030 0246 0043 0857 0005 -3139Bonsucesso N 0052 0020 0092 0018 0779 0005 -4033Industrial do Brasil N 0051 0031 0081 0016 0807 0002 -952Votorantim N 0052 0037 0107 0017 0819 0009 -2117Cacique N 0053 0024 0071 0014 0774 0005 -4621Inter Amex N 0055 0037 0068 0010 0837 0008 -2158Alfa N 0048 0041 0059 0005 0806 0002 -11303Rendimento N 0053 0022 0080 0012 0872 0008 -1562Bancoob N 0052 0046 0056 0003 0856 0003 -5061Original N 0085 0017 0279 0090 0729 0007 -4163Banco Intermedium SA N 0052 0028 0070 0015 0743 0006 -3973

Table A6 ndash Continue on next page

41

Table A6 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0225 0049 0761 0003 -7509Banco BBN SA N 0053 0027 0077 0014 0817 0012 -1509B Cooperativo Sicredi SA N 0052 0043 0062 0005 0875 0005 -2477B Cooperativo do Brasil SA N 0056 0046 0142 0020 0910 0006 -1479Banco Topazio SA N 0060 0035 0110 0027 0834 0006 -2966Banco Gerador SA N 0069 0045 0122 0028 0852 0008 -1968Banco Randon SA N 0109 0023 0320 0109 0783 0005 -4158Parana Banco SA N 0050 0026 0108 0020 0784 0008 -2799Banco Triangulo SA N 0055 0028 0091 0020 0833 0004 -4201Banco Guanabara SA N 0052 0024 0169 0025 0777 0004 -5588Banco Cedula SA N 0068 0012 0339 0061 0731 0003 -10236Banco Cacique SA N 0077 0028 0248 0077 0785 0016 -1309B Luso Brasileiro SA N 0065 0027 0208 0043 0849 0004 -349Banco Pecunia SA N 0047 0039 0060 0006 0770 0003 -7086Banco Zogbi SA N 0051 0038 0067 0011 0778 0001 -15193Banco Daycoval SA N 0054 0023 0131 0026 0783 0004 -5522B John Deere SA N 0059 0018 0133 0033 0756 0003 -7955Banco AJ Renner SA N 0053 0025 0081 0015 0827 0006 -2742ABN Amro F 0056 0039 0079 0014 0914 0002 -427Chase F 0068 0014 0228 0049 0790 0008 -2678LLoyds F 0053 0027 0064 0012 0825 0003 -5159BankBoston F 0057 0040 0099 0020 0902 0006 -1638Santander Brasil F 0057 0034 0097 0017 0890 0008 -146Citibank F 0059 0026 0153 0028 0875 0003 -4039BNL F 0055 0041 0097 0019 0840 0006 -2767Sudameris F 0056 0048 0065 0005 0966 0012 -297Societe Generale F 0060 0024 0153 0031 0826 0006 -299Europeu F 0054 0032 0073 0013 0848 0007 -2287ABC-Brasil F 0052 0025 0082 0014 0815 0003 -6207Dresdner F 0083 0017 0280 0074 0815 0006 -3234AGF Braseg F 0051 0031 0100 0016 0794 0004 -4923HSBC F 0057 0046 0092 0010 0971 0006 -466Deutsche F 0068 0013 0160 0036 0857 0004 -3335BNP Paribas F 0050 0037 0068 0007 0824 0005 -3665Barclays F 0052 0024 0089 0021 0771 0008 -2787Rabobank Int Brasil SA F 0058 0022 0166 0028 0842 0003 -5284B Nat de Paris Br SA F 0063 0023 0109 0033 0811 0006 -3331Ibibank SA - Banco Multiplo F 0059 0012 0106 0024 0781 0015 -1441Dresdner Bank - B Multiplo F 0086 0016 0244 0068 0768 0008 -2746Banco Westlb Do Brasil SA F 0064 0034 0108 0027 0839 0010 -1626Banco GE Capital SA F 0067 0032 0247 0047 0852 0010 -1527B Com Uruguai SA F 0072 0020 0192 0049 0830 0003 -52281S - State-owned bank N - National bank and F - Foreign bank

42

Table A7 Estimates of Lerner index and return to scale by bank - Model (2)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0049 0032 0085 0016 0944 0008 -716Banrisul S 0049 0032 0106 0017 0939 0008 -75BEC S 0032 0016 0046 0008 0860 0009 -1489BRB S 0049 0030 0112 0017 0961 0002 -1681BB S 0049 0032 0091 0016 0948 0006 -845Caixa Economica Federal S 0052 0034 0081 0014 1012 0003 382B da Amazonia SA S 0053 0015 0140 0028 0847 0008 -1922B do Estado Do Para SA S 0046 0029 0063 0009 0952 0005 -963B do Est do Maranhao SA S 0036 0029 0045 0005 0963 0016 -235B do Est do Piauı SA - Bep S 0036 0023 0071 0011 0888 0005 -2314B do Estado De Sergipe SA S 0050 0020 0155 0024 0962 0004 -1043Nossa Caixa - N Banco SA S 0039 0027 0074 0011 0972 0005 -601Bradesco N 0050 0028 0116 0023 0890 0004 -2618Itau N 0052 0024 0222 0037 0869 0003 -4269Safra N 0046 0028 0100 0017 0867 0003 -5042Unibanco N 0035 0028 0054 0007 0873 0001 -8511Mercantil Do Brasil N 0051 0029 0093 0019 0941 0002 -2837BBM N 0063 0012 0213 0048 0790 0005 -4494BMC N 0034 0023 0049 0007 0851 0003 -4266BMG N 0065 0015 0233 0057 0776 0004 -6135JMalucelli N 0052 0018 0080 0016 0720 0003 -9566PEBB N 0037 0014 0108 0025 0732 0009 -3086SS N 0056 0024 0236 0046 0797 0007 -2849Sofisa N 0052 0018 0107 0028 0808 0002 -8115BIC N 0057 0026 0259 0050 0850 0006 -2531Schahin N 0047 0022 0225 0041 0845 0007 -2359Stock N 0078 0017 0287 0071 0843 0006 -2782Pine N 0048 0018 0114 0023 0811 0004 -4973Socopa N 0050 0022 0136 0024 0908 0003 -3089Intercap N 0051 0019 0133 0031 0832 0006 -2759Indusval N 0061 0023 0267 0052 0866 0006 -2437Bonsucesso N 0050 0017 0109 0026 0791 0006 -3655Industrial do Brasil N 0044 0024 0079 0015 0816 0002 -8095Votorantim N 0048 0025 0120 0026 0807 0007 -2721Cacique N 0033 0020 0039 0006 0782 0005 -4597Inter Amex N 0035 0025 0045 0007 0844 0006 -2419Alfa N 0042 0029 0069 0013 0801 0002 -12139Rendimento N 0049 0019 0077 0015 0889 0008 -1394Bancoob N 0065 0057 0073 0006 0855 0003 -4199Original N 0099 0019 0299 0096 0732 0006 -4473Banco Intermedium SA N 0062 0032 0081 0019 0754 0006 -4393

Table A7 ndash Continue on next page

43

Table A7 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0059 0016 0239 0051 0778 0003 -6944Banco BBN SA N 0035 0020 0053 0009 0834 0011 -1466B Cooperativo Sicredi SA N 0045 0032 0070 0011 0881 0005 -2581B Cooperativo do Brasil SA N 0045 0029 0147 0025 0922 0006 -1274Banco Topazio SA N 0076 0043 0138 0038 0861 0005 -2569Banco Gerador SA N 0089 0054 0153 0037 0874 0008 -1645Banco Randon SA N 0122 0029 0335 0113 0803 0005 -388Parana Banco SA N 0033 0020 0062 0011 0800 0009 -234Banco Triangulo SA N 0052 0022 0105 0027 0841 0004 -4148Banco Guanabara SA N 0046 0019 0091 0020 0793 0004 -5561Banco Cedula SA N 0062 0011 0359 0067 0749 0003 -9911Banco Cacique SA N 0049 0020 0157 0048 0791 0016 -1315Banco Luso Brasileiro SA N 0066 0022 0241 0055 0870 0005 -2851Banco Pecunia SA N 0032 0027 0036 0003 0787 0003 -6876Banco Zogbi SA N 0032 0026 0037 0005 0784 0002 -13006Banco Daycoval SA N 0053 0019 0139 0036 0784 0004 -6065Banco John Deere SA N 0035 0016 0073 0016 0761 0003 -8278Banco AJ Renner SA N 0047 0021 0083 0015 0844 0006 -2553ABN Amro F 0035 0027 0047 0006 0889 0002 -7231Chase F 0054 0013 0157 0033 0804 0007 -2702LLoyds F 0033 0020 0043 0008 0821 0003 -5429BankBoston F 0036 0026 0060 0011 0888 0006 -1917Santander Brasil F 0055 0025 0115 0030 0864 0008 -1647Citibank F 0051 0020 0132 0025 0860 0003 -4735BNL F 0036 0026 0062 0012 0843 0005 -2959Sudameris F 0036 0031 0040 0004 0949 0011 -468Societe Generale F 0051 0018 0104 0024 0835 0007 -2454Europeu F 0034 0025 0041 0006 0859 0007 -2076ABC-Brasil F 0043 0026 0086 0015 0813 0003 -5797Dresdner F 0050 0014 0190 0046 0824 0004 -3975AGF Braseg F 0044 0024 0068 0014 0810 0005 -4109HSBC F 0052 0031 0110 0021 0948 0007 -776Deutsche F 0054 0012 0166 0030 0866 0005 -2754BNP Paribas F 0049 0028 0073 0013 0818 0004 -4092Barclays F 0065 0028 0121 0027 0811 0005 -4028Rabobank Int Brasil SA F 0047 0017 0102 0017 0845 0003 -4605B Nat de Paris Brasil SA F 0036 0017 0054 0013 0819 0005 -3304Ibibank SA - Banco Multiplo F 0043 0010 0114 0025 0782 0013 -1623Dresdner Bank - B Multiplo F 0096 0015 0270 0076 0785 0007 -2924Banco Westlb Do Brasil SA F 0041 0026 0062 0013 0853 0010 -154Banco GE Capital SA F 0054 0026 0253 0049 0862 0010 -1444B Com Uruguai SA F 0070 0017 0220 0058 0849 0003 -4471S - State-owned bank N - National bank and F - Foreign bank

44

Table A8 Estimates of Lerner index and return to scale by bank - Model (3)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0034 0090 0016 0941 0008 -772Banrisul S 0051 0032 0108 0016 0938 0008 -772BEC S 0035 0018 0051 0009 0856 0009 -1562BRB S 0052 0032 0122 0018 0958 0002 -1793BB S 0052 0035 0085 0015 0951 0006 -809Caixa Economica Federal S 0054 0039 0098 0014 1015 0003 465B da Amazonia SA S 0053 0014 0113 0024 0845 0008 -1977B do Estado Do Para SA S 0049 0028 0071 0010 0947 0005 -1117B do E do Maranhao SA S 0041 0032 0059 0008 0957 0015 -285B do E do Piauı SA - Bep S 0041 0028 0086 0014 0882 0005 -2518B do Estado De Sergipe SA S 0052 0021 0145 0022 0957 0004 -1182Nossa Caixa - N Banco SA S 0045 0029 0081 0015 0971 0005 -651Bradesco N 0052 0029 0101 0021 0893 0004 -2614Itau N 0054 0025 0203 0034 0872 0003 -4328Safra N 0048 0029 0093 0015 0869 0003 -5008Unibanco N 0041 0028 0067 0010 0874 0001 -8514Mercantil Do Brasil N 0053 0026 0095 0018 0939 0002 -29BBM N 0067 0013 0250 0056 0789 0005 -4501BMC N 0038 0024 0069 0010 0849 0003 -4408BMG N 0067 0015 0233 0058 0776 0004 -6374JMalucelli N 0052 0022 0087 0016 0720 0003 -9426PEBB N 0045 0014 0158 0040 0727 0009 -3192SS N 0057 0025 0231 0046 0797 0007 -287Sofisa N 0053 0018 0116 0026 0807 0002 -8444BIC N 0059 0030 0250 0049 0850 0006 -2596Schahin N 0048 0023 0220 0038 0842 0007 -2424Stock N 0083 0017 0304 0077 0838 0006 -2873Pine N 0049 0019 0105 0020 0810 0004 -5103Socopa N 0050 0026 0111 0018 0903 0003 -3253Intercap N 0055 0020 0196 0036 0828 0006 -283Indusval N 0062 0029 0282 0052 0863 0005 -2588Bonsucesso N 0051 0017 0118 0025 0789 0006 -3771Industrial do Brasil N 0046 0025 0086 0015 0815 0002 -8341Votorantim N 0050 0027 0128 0027 0809 0007 -2664Cacique N 0037 0020 0048 0009 0781 0005 -4645Inter Amex N 0039 0026 0058 0009 0842 0006 -2468Alfa N 0044 0031 0072 0011 0801 0002 -11998Rendimento N 0049 0022 0078 0011 0885 0008 -1463Bancoob N 0066 0057 0077 0007 0854 0003 -4342Original N 0102 0019 0301 0096 0730 0006 -4526Banco Intermedium SA N 0059 0027 0083 0020 0752 0006 -4354

Table A8 ndash Continue on next page

45

Table A8 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0017 0217 0054 0776 0003 -7084Banco BBN SA N 0038 0022 0058 0010 0831 0011 -1492B Cooperativo Sicredi SA N 0047 0035 0071 0010 0879 0005 -259B Cooperativo do Brasil SA N 0046 0035 0128 0020 0919 0006 -1339Banco Topazio SA N 0075 0036 0153 0041 0855 0005 -2657Banco Gerador SA N 0091 0057 0144 0034 0869 0008 -173Banco Randon SA N 0124 0029 0332 0112 0799 0005 -4023Parana Banco SA N 0036 0021 0071 0012 0797 0008 -2452Banco Triangulo SA N 0053 0023 0115 0027 0839 0004 -4256Banco Guanabara SA N 0047 0020 0100 0019 0790 0004 -561Banco Cedula SA N 0066 0012 0362 0068 0747 0003 -10082Banco Cacique SA N 0063 0026 0231 0074 0789 0016 -1336Banco Luso Brasileiro SA N 0066 0026 0249 0053 0865 0005 -2985Banco Pecunia SA N 0034 0029 0041 0004 0784 0003 -7038Banco Zogbi SA N 0036 0027 0046 0006 0782 0002 -13399Banco Daycoval SA N 0054 0019 0131 0034 0784 0004 -607Banco John Deere SA N 0039 0015 0083 0018 0761 0003 -8316Banco AJ Renner SA N 0049 0024 0073 0013 0840 0006 -2621ABN Amro F 0041 0030 0066 0009 0890 0002 -6866Chase F 0059 0013 0173 0039 0801 0007 -2733LLoyds F 0038 0021 0055 0010 0821 0003 -5484BankBoston F 0040 0028 0063 0012 0888 0006 -1931Santander Brasil F 0056 0028 0107 0027 0866 0008 -1663Citibank F 0052 0022 0123 0023 0860 0003 -4735BNL F 0039 0028 0063 0014 0841 0005 -2966Sudameris F 0041 0036 0052 0006 0948 0011 -473Societe Generale F 0052 0020 0103 0022 0833 0006 -2579Europeu F 0038 0030 0049 0007 0856 0007 -2153ABC-Brasil F 0046 0029 0079 0014 0813 0003 -5935Dresdner F 0055 0014 0212 0052 0822 0005 -3913AGF Braseg F 0046 0027 0071 0014 0806 0005 -4276HSBC F 0053 0032 0101 0019 0949 0007 -784Deutsche F 0058 0013 0141 0029 0863 0005 -2878BNP Paribas F 0051 0030 0074 0012 0818 0004 -4118Barclays F 0066 0025 0130 0030 0805 0005 -4123Rabobank Int Brasil SA F 0049 0019 0109 0018 0844 0003 -4752B Nat de Paris Brasil SA F 0041 0019 0069 0018 0817 0005 -3368Ibibank SA - Banco Multiplo F 0046 0010 0095 0021 0781 0014 -1617Dresdner Bank - B Multiplo F 0093 0017 0282 0072 0782 0008 -2899Banco Westlb Do Brasil SA F 0044 0027 0069 0015 0850 0009 -1591Banco GE Capital SA F 0055 0026 0249 0046 0859 0009 -1489B Com Uruguai SA F 0071 0017 0228 0056 0845 0003 -46241S - State-owned bank N - National bank and F - Foreign bank

46

Table A9 Estimates of Lerner index and return to scale by bank - Model (4)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0054 0041 0078 0011 0939 0007 -873Banrisul S 0055 0040 0106 0014 0948 0008 -692BEC S 0046 0020 0072 0014 0846 0009 -1746BRB S 0057 0032 0094 0016 0959 0002 -1673BB S 0057 0038 0095 0014 0981 0006 -33Caixa Economica Federal S 0061 0049 0165 0021 1042 0003 1249B da Amazonia SA S 0056 0015 0117 0022 0844 0008 -2047B do Estado Do Para SA S 0059 0025 0103 0020 0936 0004 -1701B do E Do Maranhao SA S 0052 0044 0062 0005 0936 0014 -448B do E Do Piauı SA - Bep S 0054 0029 0147 0028 0865 0004 -3201B do Estado De Sergipe SA S 0061 0023 0168 0026 0947 0004 -1484Nossa Caixa - N Banco SA S 0054 0035 0085 0012 0977 0004 -547Bradesco N 0056 0036 0107 0017 0919 0004 -2123Itau N 0058 0030 0212 0032 0896 0003 -3979Safra N 0052 0035 0107 0013 0882 0003 -445Unibanco N 0052 0035 0082 0013 0892 0001 -7446Mercantil Do Brasil N 0057 0027 0093 0015 0942 0002 -2687BBM N 0075 0015 0294 0064 0784 0005 -4512BMC N 0050 0029 0074 0011 0846 0003 -472BMG N 0065 0016 0202 0047 0779 0003 -7192JMalucelli N 0048 0022 0071 0014 0720 0003 -8923PEBB N 0061 0016 0172 0044 0704 0008 -382SS N 0056 0033 0213 0037 0799 0007 -2875Sofisa N 0053 0020 0087 0019 0805 0002 -9731BIC N 0061 0033 0269 0048 0854 0005 -2768Schahin N 0053 0027 0205 0034 0836 0006 -2627Stock N 0081 0020 0265 0068 0820 0006 -3122Pine N 0052 0022 0118 0021 0808 0004 -5467Socopa N 0054 0026 0114 0016 0888 0003 -3785Intercap N 0057 0023 0203 0035 0815 0006 -2877Indusval N 0062 0029 0239 0043 0857 0005 -3085Bonsucesso N 0052 0019 0088 0018 0782 0005 -403Industrial do Brasil N 0050 0030 0076 0015 0809 0002 -9427Votorantim N 0051 0036 0102 0017 0817 0008 -2222Cacique N 0050 0023 0067 0013 0776 0005 -4659Inter Amex N 0052 0035 0064 0009 0837 0007 -2226Alfa N 0048 0039 0071 0007 0805 0002 -11484Rendimento N 0052 0022 0076 0013 0874 0008 -1571Bancoob N 0057 0045 0071 0011 0855 0003 -5022Original N 0094 0017 0278 0090 0730 0006 -4242Banco Intermedium SA N 0049 0027 0065 0014 0746 0006 -4054

Table A9 ndash Continue on next page

47

Table A9 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0019 0220 0050 0764 0003 -7516Banco BBN SA N 0050 0027 0072 0013 0819 0012 -1529B Cooperativo Sicredi SA N 0051 0041 0068 0006 0875 0005 -2551B Cooperativo do Brasil SA N 0053 0044 0134 0018 0910 0006 -151Banco Topazio SA N 0066 0035 0128 0036 0837 0005 -2981Banco Gerador SA N 0082 0045 0157 0043 0854 0007 -1967Banco Randon SA N 0106 0026 0312 0105 0786 0005 -4204Parana Banco SA N 0048 0025 0102 0018 0787 0008 -2768Banco Triangulo SA N 0054 0027 0088 0021 0834 0004 -427Banco Guanabara SA N 0051 0023 0161 0025 0780 0004 -5659Banco Cedula SA N 0069 0012 0360 0065 0735 0003 -1028Banco Cacique SA N 0073 0027 0240 0075 0786 0016 -1327Banco Luso Brasileiro SA N 0065 0026 0242 0047 0852 0004 -346Banco Pecunia SA N 0045 0037 0056 0006 0773 0003 -7139Banco Zogbi SA N 0048 0036 0064 0010 0779 0001 -15057Banco Daycoval SA N 0055 0022 0126 0030 0784 0004 -568Banco John Deere SA N 0056 0018 0125 0031 0757 0003 -8084Banco AJ Renner SA N 0051 0025 0077 0013 0829 0006 -2763ABN Amro F 0053 0038 0074 0013 0909 0002 -4803Chase F 0066 0014 0220 0046 0793 0008 -2711LLoyds F 0050 0026 0060 0011 0825 0003 -5323BankBoston F 0054 0038 0092 0018 0899 0006 -1734Santander Brasil F 0056 0033 0098 0019 0885 0007 -1529Citibank F 0059 0025 0145 0030 0872 0003 -421BNL F 0052 0039 0091 0018 0840 0006 -2854Sudameris F 0053 0046 0062 0005 0961 0011 -352Societe Generale F 0058 0023 0144 0028 0827 0006 -2968Europeu F 0052 0031 0069 0012 0849 0007 -23ABC-Brasil F 0051 0028 0091 0015 0815 0003 -6225Dresdner F 0078 0017 0271 0071 0816 0005 -339AGF Braseg F 0050 0030 0094 0015 0797 0004 -4873HSBC F 0057 0045 0116 0016 0966 0006 -562Deutsche F 0066 0013 0151 0034 0858 0004 -3316BNP Paribas F 0050 0036 0071 0010 0823 0005 -3772Barclays F 0057 0024 0102 0025 0777 0007 -3003Rabobank Int Brasil SA F 0057 0021 0157 0026 0842 0003 -5266B Nat de Paris Brasil SA F 0059 0023 0102 0030 0812 0006 -3387Ibibank SA - Banco Multiplo F 0056 0012 0100 0023 0781 0015 -148Dresdner Bank - B Multiplo F 0084 0016 0237 0064 0771 0008 -2798Banco Westlb Do Brasil SA F 0061 0033 0101 0025 0841 0010 -1646Banco GE Capital SA F 0063 0031 0238 0044 0853 0010 -1548B Com Uruguai SA F 0074 0020 0226 0056 0833 0003 -51921S - State-owned bank N - National bank and F - Foreign bank

48

Table A10 Estimates of Lerner index and return to scale by bank - Model (5)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0043 0093 0012 0940 0007 -834Banrisul S 0054 0041 0083 0009 0949 0008 -668BEC S 0046 0020 0075 0014 0846 0009 -1719BRB S 0058 0032 0121 0017 0960 0002 -1607BB S 0056 0037 0087 0010 0981 0006 -321Caixa Economica Federal S 0061 0050 0156 0019 1044 0003 1282B da Amazonia SA S 0057 0016 0115 0023 0843 0008 -2023B do Estado Do Para SA S 0059 0027 0102 0020 0938 0004 -1608B do E Do Maranhao SA S 0052 0042 0064 0006 0939 0015 -418B do E Do Piauı SA - Bep S 0054 0029 0138 0025 0866 0004 -3097B do Estado De Sergipe SA S 0059 0024 0136 0020 0949 0004 -1404Nossa Caixa - N Banco SA S 0055 0036 0088 0013 0979 0004 -494Bradesco N 0056 0037 0108 0016 0918 0004 -2108Itau N 0058 0031 0213 0033 0894 0003 -3968Safra N 0052 0036 0086 0010 0881 0003 -4388Unibanco N 0053 0037 0085 0013 0892 0001 -7433Mercantil Do Brasil N 0057 0027 0086 0012 0943 0002 -2619BBM N 0075 0015 0292 0063 0784 0005 -447BMC N 0050 0029 0077 0012 0846 0003 -4648BMG N 0067 0017 0220 0051 0777 0003 -7116JMalucelli N 0049 0022 0083 0016 0718 0003 -8879PEBB N 0060 0017 0176 0044 0704 0008 -3743SS N 0059 0032 0223 0041 0798 0007 -2847Sofisa N 0055 0021 0112 0022 0804 0002 -9624BIC N 0060 0032 0238 0041 0853 0005 -2725Schahin N 0055 0028 0228 0038 0836 0006 -2575Stock N 0082 0019 0267 0068 0821 0006 -3063Pine N 0052 0022 0096 0018 0808 0004 -5392Socopa N 0055 0027 0113 0016 0889 0003 -3694Intercap N 0060 0023 0210 0037 0814 0006 -2856Indusval N 0062 0029 0245 0044 0857 0005 -3023Bonsucesso N 0053 0020 0113 0022 0781 0005 -3999Industrial do Brasil N 0051 0030 0084 0016 0808 0002 -9274Votorantim N 0052 0037 0130 0022 0816 0008 -2227Cacique N 0049 0024 0065 0012 0775 0005 -4632Inter Amex N 0052 0034 0067 0011 0837 0007 -2236Alfa N 0047 0041 0056 0004 0804 0002 -11448Rendimento N 0053 0022 0079 0011 0874 0008 -1549Bancoob N 0056 0050 0064 0005 0856 0003 -4874Original N 0087 0018 0288 0093 0728 0006 -4259Banco Intermedium SA N 0055 0027 0078 0019 0744 0006 -4047

Table A10 ndash Continue on next page

49

Table A10 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0217 0048 0763 0003 -7417Banco BBN SA N 0051 0026 0075 0014 0820 0012 -1504B Cooperativo Sicredi SA N 0051 0040 0061 0005 0876 0005 -2499B Cooperativo do Brasil SA N 0054 0043 0136 0019 0912 0006 -1445Banco Topazio SA N 0061 0034 0109 0026 0838 0006 -2897Banco Gerador SA N 0073 0052 0124 0026 0855 0008 -1918Banco Randon SA N 0120 0024 0327 0114 0785 0005 -4153Parana Banco SA N 0048 0026 0106 0020 0786 0008 -2732Banco Triangulo SA N 0055 0027 0111 0022 0834 0004 -4227Banco Guanabara SA N 0052 0024 0153 0024 0779 0004 -5589Banco Cedula SA N 0069 0012 0339 0062 0734 0003 -10232Banco Cacique SA N 0076 0027 0246 0076 0785 0016 -1317Banco Luso Brasileiro SA N 0067 0027 0207 0047 0852 0004 -3379Banco Pecunia SA N 0046 0038 0054 0006 0773 0003 -71Banco Zogbi SA N 0047 0037 0061 0010 0778 0001 -14931Banco Daycoval SA N 0054 0022 0126 0026 0782 0004 -5661Banco John Deere SA N 0056 0018 0129 0031 0756 0003 -8043Banco AJ Renner SA N 0053 0025 0080 0015 0829 0006 -2716ABN Amro F 0053 0038 0074 0012 0908 0002 -4751Chase F 0067 0014 0225 0047 0792 0008 -2693LLoyds F 0049 0025 0064 0012 0824 0003 -5227BankBoston F 0054 0037 0096 0020 0899 0006 -1701Santander Brasil F 0057 0033 0103 0019 0884 0008 -1511Citibank F 0059 0026 0154 0028 0871 0003 -4204BNL F 0052 0037 0097 0020 0840 0006 -28Sudameris F 0052 0045 0058 0005 0962 0011 -334Societe Generale F 0060 0023 0151 0031 0827 0006 -2924Europeu F 0050 0032 0066 0012 0849 0007 -2263ABC-Brasil F 0051 0025 0079 0014 0814 0003 -617Dresdner F 0080 0017 0276 0073 0816 0005 -3374AGF Braseg F 0050 0031 0093 0015 0796 0004 -4812HSBC F 0057 0043 0093 0011 0966 0006 -541Deutsche F 0066 0013 0155 0035 0858 0004 -3244BNP Paribas F 0050 0035 0067 0008 0822 0005 -3775Barclays F 0056 0024 0113 0025 0778 0007 -305Rabobank Int Brasil SA F 0057 0021 0163 0027 0842 0003 -5208B Nat de Paris Brasil SA F 0058 0022 0100 0029 0812 0006 -3343Ibibank SA - Banco Multiplo F 0057 0012 0099 0023 0780 0015 -1478Dresdner Bank - B Multiplo F 0087 0016 0244 0068 0770 0008 -2768Banco Westlb Do Brasil SA F 0063 0034 0106 0026 0841 0010 -1625Banco GE Capital SA F 0064 0032 0247 0046 0853 0010 -1522B Com Uruguai SA F 0073 0019 0191 0049 0833 0003 -50981S - State-owned bank N - National bank and F - Foreign bank

50

Table A11 Estimates of Lerner index and return to scale by bank - Model (6)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0036 0096 0015 0939 0007 -855Banrisul S 0050 0035 0098 0014 0938 0008 -82BEC S 0041 0019 0067 0012 0855 0009 -1644BRB S 0053 0029 0124 0018 0956 0002 -1996BB S 0051 0032 0088 0013 0954 0006 -807Caixa Economica Federal S 0054 0040 0094 0012 1014 0003 475B da Amazonia SA S 0053 0015 0103 0022 0846 0008 -205B do Estado Do Para SA S 0051 0028 0074 0013 0943 0004 -1319B do E Do Maranhao SA S 0041 0031 0059 0008 0950 0014 -346B do E Do Piauı SA - Bep S 0042 0028 0084 0012 0879 0004 -2727B do Estado De Sergipe SA S 0052 0022 0153 0022 0953 0003 -1377Nossa Caixa - N Banco SA S 0047 0032 0081 0014 0969 0004 -74Bradesco N 0052 0032 0097 0019 0898 0004 -2645Itau N 0054 0027 0190 0031 0877 0003 -4452Safra N 0049 0032 0100 0015 0872 0003 -5056Unibanco N 0043 0032 0067 0010 0878 0001 -8666Mercantil Do Brasil N 0053 0026 0087 0017 0938 0002 -3104BBM N 0066 0013 0251 0056 0792 0005 -4556BMC N 0041 0026 0069 0011 0850 0003 -4582BMG N 0067 0016 0228 0057 0781 0003 -6611JMalucelli N 0051 0022 0089 0017 0725 0003 -9344PEBB N 0046 0015 0157 0039 0728 0008 -3313SS N 0058 0025 0230 0046 0801 0007 -292Sofisa N 0053 0020 0119 0025 0809 0002 -8846BIC N 0060 0029 0262 0049 0852 0005 -2697Schahin N 0049 0025 0229 0040 0843 0006 -2523Stock N 0081 0017 0284 0072 0836 0005 -2986Pine N 0049 0021 0112 0019 0812 0004 -5267Socopa N 0050 0026 0095 0015 0900 0003 -3515Intercap N 0055 0021 0196 0035 0828 0006 -2899Indusval N 0061 0029 0262 0049 0863 0005 -2762Bonsucesso N 0052 0019 0123 0026 0791 0005 -3885Industrial do Brasil N 0046 0027 0088 0015 0816 0002 -8698Votorantim N 0051 0027 0139 0027 0813 0007 -262Cacique N 0039 0022 0050 0009 0784 0005 -4707Inter Amex N 0045 0027 0064 0012 0843 0006 -2493Alfa N 0044 0033 0068 0009 0805 0002 -12111Rendimento N 0050 0022 0073 0010 0883 0008 -1543Bancoob N 0066 0055 0072 0007 0856 0003 -4559Original N 0098 0020 0294 0094 0735 0006 -4509Banco Intermedium SA N 0057 0024 0085 0022 0756 0006 -4324

Table A11 ndash Continue on next page

51

Table A11 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0061 0017 0195 0048 0777 0003 -7233Banco BBN SA N 0042 0023 0059 0012 0831 0011 -1529B Cooperativo Sicredi SA N 0048 0035 0066 0009 0879 0005 -2672B Cooperativo do Brasil SA N 0046 0034 0119 0017 0917 0006 -1439Banco Topazio SA N 0070 0031 0129 0036 0853 0005 -2776Banco Gerador SA N 0086 0057 0148 0034 0867 0007 -1825Banco Randon SA N 0126 0028 0331 0114 0799 0005 -4136Parana Banco SA N 0039 0023 0082 0015 0798 0008 -2556Banco Triangulo SA N 0052 0025 0116 0025 0840 0004 -4363Banco Guanabara SA N 0048 0021 0100 0019 0792 0004 -5683Banco Cedula SA N 0067 0013 0356 0067 0749 0002 -10205Banco Cacique SA N 0067 0026 0232 0073 0792 0015 -1356Banco Luso Brasileiro SA N 0065 0025 0237 0052 0864 0004 -3163Banco Pecunia SA N 0037 0029 0045 0006 0786 0003 -7158Banco Zogbi SA N 0037 0027 0045 0007 0785 0002 -13921Banco Daycoval SA N 0053 0020 0120 0031 0787 0003 -6088Banco John Deere SA N 0043 0017 0099 0022 0764 0003 -8346Banco AJ Renner SA N 0050 0025 0080 0013 0840 0006 -2706ABN Amro F 0043 0035 0067 0008 0894 0002 -6685Chase F 0059 0014 0189 0040 0803 0007 -2772LLoyds F 0039 0021 0055 0012 0824 0003 -5536BankBoston F 0044 0029 0075 0015 0890 0006 -1965Santander Brasil F 0054 0028 0107 0024 0871 0008 -1694Citibank F 0054 0023 0133 0026 0863 0003 -4787BNL F 0042 0028 0078 0018 0843 0005 -2998Sudameris F 0041 0036 0052 0006 0948 0010 -491Societe Generale F 0054 0020 0118 0025 0834 0006 -2716Europeu F 0038 0029 0049 0008 0856 0006 -2239ABC-Brasil F 0046 0028 0084 0014 0816 0003 -6111Dresdner F 0063 0015 0239 0061 0823 0005 -3888AGF Braseg F 0047 0027 0074 0014 0807 0004 -4477HSBC F 0054 0032 0109 0018 0950 0006 -823Deutsche F 0058 0013 0122 0028 0863 0004 -305BNP Paribas F 0051 0032 0070 0011 0822 0004 -4145Barclays F 0064 0024 0128 0029 0802 0005 -4051Rabobank Int Brasil SA F 0051 0019 0130 0021 0846 0003 -4992B Nat de Paris Brasil SA F 0043 0019 0070 0019 0819 0005 -3429Ibibank SA - Banco Multiplo F 0049 0010 0083 0020 0785 0013 -161Dresdner Bank - B Multiplo F 0087 0016 0261 0066 0783 0007 -2901Banco Westlb Do Brasil SA F 0051 0030 0082 0019 0850 0009 -1643Banco GE Capital SA F 0053 0028 0239 0044 0859 0009 -1544B Com Uruguai SA F 0071 0017 0217 0054 0845 0003 -48451S - State-owned bank N - National bank and F - Foreign bank

52

Seacuterie de Textos para Discussatildeo do Curso de Ciecircncias Econocircmicas ndash FACEUFG ndash TD [078]

EDITORIAL FACE ndash Faculdade de Administraccedilatildeo Ciecircncias Contaacutebeis e Ciecircncias Econocircmicas Curso de Ciecircncias Econocircmicas Direccedilatildeo FACE Prof Moiseacutes Ferreira da Cunha Vice-Direccedilatildeo FACE Profordf Andreacutea Freire de Lucena Coordenaccedilatildeo do Curso de Ciecircncias Econocircmicas Prof Tiago Camarinha Lopes NEPEC ndash Nuacutecleo de Estudos e Pesquisas Econocircmicas Coordenaccedilatildeo Prof Seacutergio Fornazier Meyrelles Filho SEacuteRIE DE TEXTOS PARA DISCUSSAtildeO DO CURSO DE CIEcircNCIAS ECONOcircMICAS DA UFG Coordenaccedilatildeo e Equipe de Editoraccedilatildeo Prof Sandro Eduardo Monsueto Adriana Moura Guimaratildees Matheus Henrique de Arauacutejo Dutra

Endereccedilo Campus Samambaia Preacutedio da FACE ndash Rodovia GoiacircniaNova Veneza km 0 ndash CEP 74690-900 Goiacircnia ndash GO Tel (62) 3521 ndash 1390 URL httpwwwfaceufgbreconomia Publicaccedilatildeo cujo objetivo eacute divulgar resultados de estudos que contam com a participaccedilatildeo de pesquisadores do NEPEC As opiniotildees contidas nesta publicaccedilatildeo satildeo de inteira responsabilidade do(s) autor(es) natildeo representando necessariamente o ponto de vista do NEPEC ou da FACEUFG Eacute permitida a reproduccedilatildeo desde que citada a fonte

Page 15: 1(3(& )$&( 8)* · The Dark Side of Prudential MeasuresI Paulo R. Scalco a, Benjamin M. Tabak1, Anderson M. Teixeira aFaculty of Management, Accounting and Economics, Federal University

33 Market Power

To measure the degree of power of each bank we use the traditional measure defined by

Lerner (1934)

L =P minusMC

P (17)

if L = 0 P = MC and for any value L gt 0 P gt MC In the limit L = 1

The connection between the SFA model (equation 16) and the Lerner index is done

rearranging the equation 5 Omitting the error term (v) for simplification we can rewrite

equation 5 as

P middot YC

partlnY

partlnCminus 1 = u

partlnY

partlnCmiddot (18)

Considering that partlnYpartlnC

= (partYpartC

)(CY

) we have

P minusMC

MC=

u

EC

middot (19)

Equation 19 corresponds to an alternative definition of mark-up called θ where the

distance between price and marginal cost is expressed as a fraction of the latter In addition

since the function input distance is dual the cost function we can substitute EC for EY in

equation 19 and after estimating equation 16 and obtain estimates of the mark-up (u) the

estimation of market power can be obtained by replacing the values estimated in equation 19

as follow

θ equiv P minusMC

MC=

u

αY + αY Y lnY +sumJminus1

j=1 αjY ln xj + αY TT (20)

This estimate can be used to obtain the traditional measure of Lerner index as in

equation 16 employing the following formula

L =θ

1 + θ (21)

13

34 Returns to Scale

Finally we can use the estimates of equation 16 to obtain other characteristics of tech-

nology such as the return to scale and the scale bias Formally EC = partlnCpartlnY

= (partCpartY

)(YC) =

MCAC where AC represents the average cost This means that the return to scale is

inversely related to cost elasticity that is RTS = 1EC If EC = 1 we will have constant re-

turns to scale if EC lt 1 we will have increasing returns (economies of scale) and if (EC gt 1)

we will have decreasing returns (diseconomies of scale) Again using the duality condition

between IDF and the cost function we can use the estimates of equation 16 to calculate the

return to scale and scale bias Respectively

RTS =1

αY + αY Y lnY +sumJminus1

j=1 αjY ln xj + αY TT(22)

and

Scale Bias = αY T (23)

If the scale bias parameter (αY T ) is statistically significant and greater than zero this

suggests that technological change is reducing economies of scale over time

4 Database and empirical approach

The database used can be divided into two parts The first part includes the information

of all FI authorized to operate in Brazil by the Brazilian Central Bank (BCB) This infor-

mation is available on the BCBrsquos website through the IFdata system and contains detailed

information on the balance sheet income statement and credit portfolio of all IFs In ad-

dition data are available on an individual basis as well as on financial conglomerates and

prudential conglomerates1 For this work we use the concept of financial conglomerates In

1The BCB defines as a financial conglomerate the group of financial entities directly or unrelated byshareholding or by effective operational control characterized by standard management or by operatingin the market under the same brand or commercial name (Circular note no 1273 from Brazilian CentralBank) The concept of a prudential conglomerate in turn encompasses a broader universe of entities suchas consortium administrators payment institutions and companies that purchase credit operations (Officedocument no 1273 from Brazilian Central Bank)

14

December 2018 there was information on a total of 2753 IFs between commercial banks

or multiple banks with and without commercial portfolios credit cooperatives development

banks among others arranged quarterly since the first quarter of 2000

Our sample was restricted only to commercial banks or multiple banks with commercial

portfolios and savings banks Banks with loan portfolio equal zero and did not contain

information for at least three consecutive years were excluded In the same way we excluded

banks with observations that fell bellow 1st percentile of the sample for each one of variables

used in the model or above 99th percentile only for the dependent variable RC = TRC

Furthermore we chose to work with the data on a semi-annual basis (June and December

base dates) because inconsistencies we have found in some quarterly accounting data After

applying all these criteria our sample was restricted to a panel with only 83 banks between

the first half of 2000 and the second half of 2014 totaling 1818 observations2 In terms

of representativeness our sample with only 83 banks corresponded to 794 of the total

assets and 817 of the credit portfolio of the entire SFN in December 2014

The second database was obtained from Cerutti et al (2016) In this unprecedented

database the focus is on the change and intensity in the use of a set of prudential instruments

classified as micro-prudential and macro-prudential3 They collect the data for 64 countries

with a quarterly period covering the period between the first quarter of 2000 and the fourth

quarter of 2014 In the database in addition to a considerable number of countries the

information collected by the authors has the objective of mapping the intensity and the

change occurring quarterly in each of the prudential instruments

The original instruments of the database are the capital requirement capital buffer

interbank exposure limit concentration limit maximum loan amount commonly known as

Loan-to-value and reserve requirement

Concerning the capital requirement instrument we can understand it as an imposition

2Although the BCB has information until the second half of 2018 the database with prudential variablesavailable in the article by Cerutti et al (2016) goes only until the second half of 2014

3The database of Cerutti et al (2016) is a considerable advance to the available prudential data collectedso far in Lim et al (2011) and Cerutti et al (2017a) In both studies the focus is on only identifying whetheror not the country has implemented the appropriate prudential instrument

15

for a compulsory deposit with the BCB of demand deposits of financial institutions Capital

buffer serves as a buffer against countercyclical capital whose purpose is to protect the

banking sector in periods of excessive credit growth which is associated with increased

systemic risk On the other hand in periods of credit constraint the buffering capital may

decrease and thus not affecting the performance of the real side of the economy

The interbank exposure limit is a liability limiter maintained by the banking sector as a

whole or by a particular bank By the concentration limit we mean a procedure that limits

the fraction of assets concentrated to a limited number of borrowers

Loan-to-value is a restriction to the borrower or activity It is the imposition of maximum

amounts of loans on the value of collateral or even maximum amounts of indebtedness to the

income of the borrower Finally we can interpret a reserve requirement as an instrument

whose purpose is to limit the multiplication of money in the economy through the imposition

of compulsory deposits with the Central Bank

The prudential capital buffer instrument was broken down into the following categories

general capital requirement real estate credit consumer credit and others We decompose

the reserve requirement instrument into two sub-indices local domestic currency and foreign

currency

Information on intensity and change in prudential tooling is collected as follows by the

researchers If the financial regulator tightens the instrument in question in a specific quarter

the index assumes a value of +1 On the other hand if the same instrument undergoes

relaxation or loosening the value of minus1

Finally the index receives a value of zero if there was no change in the prudential

instrument in that quarter4 According to Cerutti et al (2016) in addition to capturing the

intensity of change in such a prudential policy this type of coding incorporates qualitative

characteristics of the policy that are lost by the type of dichotomous coding (1 if implemented

and 0 otherwise) Despite the simplicity of the coding used it is imperfectly able to measure

direction in policy change Not all the instruments available on the original basis were used

4For more details on how the base was built see Cerutti et al (2016)

16

because some measures were not implemented by the BCB Examples are the capital buffer

for real estate credit the concentration limit of banks to sectors or borrowers and the limit

on interbank exposure

Moreover due to the low variability in most measures and the semi-annual structure

of the database obtained in the BCB we chose to use the cumulative indexes of variation

According to Cerutti et al (2016) the purpose of this cumulative index is to capture the

level of tightness or looseness over a given period Finally to capture an overall measure of

prudential instruments we aggregate all variations of prudential instruments into a single

aggregate instrument called cumulative prudential Table A5 attached illustrates the

change and the intensity of the prudential instruments implemented by Brazil according to

the data collected by Cerutti et al (2016)

Our empirical strategy consists in estimating the equation 16 by Maximum Likelihood in

a two-stage procedure wherein the first stage we obtain the estimates of the parameters of

the equation and in the second stage we calculate the estimates of uit using the conditional

mean estimator of Jondrow et al (1982)

After obtaining the estimates of u and RC equiv EY we use equation 20 to calculate the

estimated values of θ which are used to calculat e the Lerner Index (L) according to

equation 21

We estimated six models wif different sets of deterministic variables (prudential measures)

to control the parameter of market power (uit) In the first model we did not add any

controls In the second we include only the HHI In the third specification we include the

capital buffer and capital requirement The fourth model uses only the loan-to-value In the

fifth model we include reserve requirements in both foreign and local currency and in the

last model we include the cumulative prudential measure which is the sum of the changes

in all other prudential measures

The inclusion of prudential variables in a separated way was necessary because they

represent only the tightening or the loosening of the prudential instrument Therefore they

do not represent the change in the magnitude of the prudential instrument As such the

variables have little variability and the high correlation generated between them causes

17

severe problems in the estimation process by maximum likelihood In general the tests with

the aggregate models did not reach the convergence of likelihood function even using different

strategies for initial values or optimization algorithm and when the optimization reaches an

optimal state the estimates were inconsistent For this reason we chose to estimate simpler

models including prudential variables separately or at most two when they represented

similar measures

Besides two critical events occurred in the second half of 2008 and significantly changed

the structure and dynamics of the banking industry in Brazil The outbreak of the subprime

crisis in the US and the acquisition of Unibanco by Itau in Brazil5 Itau-Unibanco has become

the largest bank in Brazil (Itau-Unibanco) accounting for 191 of total SFN assets and

184 of the total loan portfolio in the second half of 2008

We can observe the increase in market concentration in Figure 1 which represents HHI

concentration indices for total assets and total credit portfolio The increase in concentra-

tion levels of the banking industry on the other hand also coincides temporarily with the

outbreak of the GFC and an increase in rigidity in prudential instruments after the onset of

the crisis6

These events result in a high correlation between the variables and making it more

difficult to isolate the effects of each variable on the parameter of market power In this

way we also chose to estimate an HHI-only model as the control variable of market power

(uit)

Figure 1 Evolution of the Herfindahl Index (HHI) over time using credit and total assets

for the Brazilian banking system

We summarize the description of the variables that we will use in the estimation of

5Unibanco was the sixth largest Brazilian bank in the first half of 2008 accounting for 59 of total SFNassets and 6 of the total loan portfolio Also Itau was the third largest bank with 118 of SFN and119 of the loan portfolio

6Cubillas amp Suarez (2018) find the same result as the banksrsquo market power increased shortly after theGFC

18

equation 16 and how we calculate them in Table 1 All variables included in equation 16

except for trend prudential variables an HHI are in the logarithms form

Table 1 Variables used to IDF estimatation

5 Empirical Results

We present the results of the models in Table 2 Initially focusing on the interpretation

of the parameters of the input-distance function we verified that the size of the IF credit

portfolio (lnY ) has a negative sign but it was significant only for models 1 4 and 5 This

result implies that the larger the portfolio size the lower the revenue-cost ratio of the FI

Table 2 Results of IDF estimation

The coefficients of Staff costs (lnx1) and volume of funding (lnx2) were also negative

and significant in all models Thus the higher the staff costs and the higher the funding

volume the lower the cost-to-cost ratio of the FIs The trend variable as established by

equation 23 represents the scale bias and the negative sign would indicate that technological

change would increase economies of scale over time however no estimate was significant

51 Impact of Prudential Measures on Mark-up

The evaluation of the variables that determine the mark-up parameter (u) shows that

all of them are statistically significant and positive The SFA model is not linear in these

parameters Therefore the value of the coefficients does not represent the effect of the

magnitude of changes in the variables on the mark-up (their elasticities) However we can

estimate their marginal effects We present them for each variable in Figure 2

19

Figure 2 Marginal effects of HHI and prudential instruments (Capital Buffer Capital

RequirementLTV Reserve Requirement (Foreign) Reserve Requirement (domestic) and

cumulative prud) on themark-upucomponent

The positive sign of HHI in model 2 means that the more concentrated the banking

industry is the higher the market power of FIs This result is in line with that established by

the traditional structure-conduct-performance paradigm (Schmalensee 1989) However as

can be seen in Figure 1 the increase in the concentration index coincides with the tightening

of the prudential measures stemming from the GFC In this sense we can not say whether

this is the real effect of the increase in market concentration on the market power of FIs or

whether it is affected by the tightening of prudential measures

If we focus on prudential instruments the results for capital buffers and the capital

requirement (model 3) indicate that a tightening in these variables - whose purpose is to

increase banksrsquo capital reserve during positive shocks in the economy - has a detrimental

effect on competition market since they raise the IF mark-ups This effect happens because

this prudential measure influences the smoothing of the credit supply cycle

The same results are present for the loan-to-value variable (model 4) In general this

measure sets limits on the leverage of mortgages and other securities and a tightening in

ltv is effective in controlling possible booms in the real estate market by reducing real estate

prices and ultimately reducing the excess volatility of the economy ((Zhang amp Zoli 2016

Ely et al 2019) According to the result found the higher the limits the greater the market

power of the FIs

With respect to reserve requirements both in foreign and local currency - credit limits

directly in foreign currency and domestic currency respectively - the results (model 5) also

demonstrate a detrimental effect on competition since the tightening in such measures also

implies an increase mark-up of IFs In the model 6 where we introduce the aggregate

prudential measure the result found is similar to the others that is the higher the tightness

(in general) in the prudential measures of the financial system the higher the market power

of FIs

20

Unfortunately since prudential variables represent only a measure of tightening or loos-

ening of prudential policy and not its magnitude we can not accurately assess the impact

of these variables on the mark-up The marginal effects represented in Figure 2 give us only

an idea of how such variables affected the estimated mark-ups

However in general we can say that the positive signs of the estimates mean that the

higher the tightness in these prudential policies the greater the mark-up and consequently

the higher the market power of the FIs Therefore we find a perverse effect on industry

competition and probably a loss of borrowers welfare

Our results are in accordance with the evidence that the increase in prudential rigor has

negative impacts mainly on the supply of credit (Lim et al 2011 Claessens 2015 Aiyar

et al 2014 Gropp et al 2018 Cerutti et al 2017a) Ceteris paribus the increase of IF

mark-ups would be a fully expected effect As highlighted by Claessens amp Laeven (2004) any

policy that restricts the activity of banks and hinders their operation has negative impacts

on market competition

52 Estimation of Lerner indices

Regarding the mark-up estimation the values reported at the bottom of Table 2 corre-

spond to the distance between the observed revenue-cost ratio and its competitive boundary

that is the component u

To interpret the mark-up however we will focus the discussion on the estimates of

Lerner index (equation 21) because they have a more unambiguous economic meaning We

summarize the results of Lerner index for general estimates by type of control and for each

model in Table 3 and the Figure 3 shows their frequency distributions We should emphasize

that these estimates are individuals that is we obtain the estimates for each IF and at each

period t The tables in Annex (A6 to A11) summarizes the estimates of the Lerner index

and the returns to scale for each IF in the sample

Table 3 Estimates of Lerner index general and by type of control

21

Figure 3 Frequency distribution of Lerner indexes for each model and density estimation

Kernel by typeof control

For all six models all mark-up estimates were within the theoretical range of 0 and 1

with the minimum value being 0009 (model 2) and the maximum value 0362 (model 3) In

general the estimated average value was between 0051 (model 2) and 0058 (models 1 and

5) which means that on average Brazilian banks have a mark-up between 51 and 58

These values are slightly different when we separate the estimates by type of control

In the case of state-owned banks the average mark-up was between 0047 (model 2)

and 0057 (model 1) These values are lower in all the estimated models to the values

of (privates) national banks (0052-0057) and foreign banks (0050-0061) However the

medians of estimated values for state-owned banks were higher than the national and foreign

private banks in all models

For comparison purposes these values are considerably lower than the value (016) esti-

mated for Brazil in Coccorese (2014) We believe that this difference is due to the model and

sample used Coccorese (2014) has estimated the dual version of model (equation 5) and

as highlighted by Kumbhakar et al (2012) the use of accounting information to calculate

input prices can generate problems when they are endogenous

Regarding the sample Coccorese (2014) also used a different period from ours (1994 to

2012) and a more significant number of IFs in the sample (189 against 83 used by us) The

main difference here is in the number of IF - 106 in total In this respect it is essential to

note that these FIs constitute small FIs and in the second half of 2014 they held only 37

of total SFN assets and 24 of the total credit portfolio

We tried to replicated the Coccoresersquo sample but in preliminary tests we have found great

difficulties in the models estimations in particular at convergence of likelihood function

We observed these small IFs had in several situations extremely high values for the revenue-

cost ratio or excessively low for the inputs used (personnel expenses and funding) as well

as other problems such as launch errors (positive values in variables of expenditure for

example) and missings For these reasons and considering that such IFs represented only a

22

small fraction of Brazilian credit market we decided to exclude them from the sample

However It is worth highlight as they are small FIs the vast majority operate in particular

segments of the credit market and probably assume a more risk-taking behavior Considering

that they will work with a segment of credit claimants with rdquoworse scoresrdquo than borrowers

using large FIs we expect that the mark-up of these IFs will be higher We can observe

(part of) this phenomenon in Figure 4 where we represent the estimates of the Lerner index

(vertical axis) against market share of total assets (horizontal axis) of our sample and it is

quite evident the smaller banks have the higher mark-ups Therefore as our sample exclude

a large proportion of these small IFs it is natural that Coccorese (2014)rsquo results larger than

ours

Figure 4 Lerner indexes according to the size (market share) of banksrsquo assets

Regardless of this our results seem to adhere well to reality because if we look at Figure

5 we note that the Lerner indices show a significant increase from the second semester of

2008 These results are in agreement with the results of Cubillas amp Suarez (2018) Besides

in Figure 6 Lerner indexes are separated by type of control and we can observe that with

some exceptions the market power has always been lower for state-owned banks especially

considering the period after the GFC

Figure 5 Average Lerner indices for each model between 2000q2 and 2014q4

Figure 6 Average Lerner indices estimated for public private national and private

foreign banks between2000q2 and 2014q4

23

53 Estimation of Returns to Scale

Finally Table 4 and Figure 7 summarize the estimates of returns to scale We highlight

that the average of the returns to the scale of the Brazilian FIs is very close if we comparer

the six estimated models (between 0848 and 0851) Although the values are close to unity

in all IFs we reject the hypotheses of constant returns to the scale that is RTS = 1 therefore

IFs have diseconomies of scale

Table 4 Estimates of returns to scale by control type and general

When we separate estimates by type of control the estimates of state-owned banks

(0937-0944) are higher than national (0824-0829) and foreign banks (0841-0844) This

result means that the scale problem is a problem common to all FIs in Brazil Moreover

state-owned banks runs closer to the constant return region than national and foreign banks

Figure 7 Frequency distribution of the returns to scale indexes for each model and

density estimationKernel by type of control

6 Final Considerations

Considering that the banking industry underwent a significant restructuring in recent

years caused by several mergers and acquisitions in the sector as well as by a severe financial

crisis started in mid 2007 and potentialized in 2008 understand the behavior of market

power and as a (partial) set of prudential instruments influencing this dynamic has become

paramount Thus in an innovative way this paper proposed the use of stochastic frontier

analysis techniques to measure market power for the Brazilian banking industry and to test

if such prudential measures had an impact on the competitive dynamics of sector

The estimated average Lerner index was between 51 and 58 for Brazilian FIs How-

ever when controlled by the type of control we find that state-owned banks have slightly

24

lower estimates than national and foreign banks respectively Also estimates of returns to

scale allow us to infer that FIs operate with diseconomies of scale

Concerning the impact of prudential measures on the market power of FIs our results

generally suggest that tightening of prudential measures have a positive impact on bank

mark-up and consequently have detrimental effects on competition in industry banking

Finally in future research it will be possible to better understand the influence of some

prudential measures in the banking market through the study by type of segment or line of

credit

25

References

Aiyar S Calomiris C W amp Wieladek T (2014) Does macro-prudential regulation leak ev-

idence from a uk policy experiment Journal of Money Credit and Banking 46 181ndash214

URL httpsonlinelibrarywileycomdoiabs101111jmcb12086 doi101111jmcb12086

arXivhttpsonlinelibrarywileycomdoipdf101111jmcb12086

Altunbas Y Binici M amp Gambacorta L (2018) Macroprudential policy and bank risk Journal of

International Money and Finance 81 203ndash220 doihttpsdoiorg101016jjimonfin201711

012

Araujo L A D d amp Jorge Neto P d M (2007) Risco e competicao bancaria no Brasil Revista Brasileira

de Economia 61 175ndash200 URL httpwwwscielobrscielophpscript=sci_abstractamppid=

S0034-71402007000200003amplng=enampnrm=isoamptlng=pt doi101590S0034-71402007000200003

Auer R amp Ongena S (2019) The countercyclical capital buffer and the composition of bank lending

Available at SSRN 3345189

Ayyagari M Beck T amp Peria M (2018) The micro impact of macroprudential policies Firm-level

evidence IMF Working Paper

Barbosa K de Paula Rocha B amp Salazar F (2015) Assessing competition in the banking indus-

try A multi-product approach Journal of Banking amp Finance 50 340ndash362 URL httpwww

sciencedirectcomsciencearticlepiiS0378426614001642 doi101016jjbankfin201405

003

Belaisch A (2003) Do Brazilian Banks Compete SSRN Scholarly Paper ID 879189 Social Science Research

Network Rochester NY URL httpspapersssrncomabstract=879189

Bikker J A Shaffer S amp Spierdijk L K (2012) Assessing competition with the panzar-rosse model

The role of scale costs and equilibrium Economics Letters 94 1025ndash1044

Bresnahan T F (1982) The oligopoly solution concept is identified Economics Letters 10 87ndash92 URL

httpdxdoiorg1010160165-1765(82)90121-5 doi1010160165-1765(82)90121-5

Bresnahan T F amp Reiss P (1991) Entry and competition in concentrated markets Journal of Political

Economy 99 977ndash1009

Camors C amp Peydro J (2014) Macroprudential and monetary policy Loan-level evidence from reserve

requirement Mimeo Universitat Pompeu Fabra URL httpspdfssemanticscholarorgd508

61639bb4e7453a7a39184edf9b0c1e7016a6pdf

Cardoso M Azevedo P F amp Barbosa K (2016) Concorrencia no setor bancario brasileiro bancos

individuais versus conglomerados bancarios (pp 113ndash146) URL httprepositorioipeagovbr

handle110586650

Cerutti E Claessens S amp Laeven L (2017a) The use and effectiveness of macroprudential policies New

26

evidence Journal of Financial Stability 28 203ndash224 doihttpsdoiorg101016jjfs201510

004

Cerutti E Correa R Fiorentino E amp Segalla E (2016) Changes in prudential policy instruments ndash a

new cross-country database IMF Working Paper WP1610

Cerutti E Dagher J amp DellrsquoAriccia G (2017b) Housing finance and real-estate booms A cross-country

perspective Journal of Housing Economics 38 1ndash13

Claessens S (2015) An overview of macroprudential policy tools Annual Re-

view of Financial Economics 7 397ndash422 URL httpsdoiorg101146

annurev-financial-111914-041807 doi101146annurev-financial-111914-041807

arXivhttpsdoiorg101146annurev-financial-111914-041807

Claessens S Ghosh S R amp Mihet R (2013) Macro-prudential policies to mitigate financial system

vulnerabilities Journal of International Money and Finance 39 153ndash185 doihttpsdoiorg10

1016jjimonfin201306023

Claessens S amp Laeven L (2004) What drives bank competition some international evidence Journal

of Money Credit and Banking 36 563ndash583 URL httpwwwjstororgstable3838954

Coccorese P (2014) Estimating the Lerner index for the banking industry a stochastic frontier approach

Applied Financial Economics 24 73ndash88 URL httpdxdoiorg101080096031072013866202

doi101080096031072013866202

Coelho C A De Mello J M amp Rezende L (2013) Do Public Banks Compete with Private

Banks Evidence from Concentrated Local Markets in Brazil Journal of Money Credit and Bank-

ing 45 1581ndash1615 URL httponlinelibrarywileycomdoi101111jmcb12063abstract

doi101111jmcb12063

Cubillas E amp Suarez N (2018) Bank market power and lending during the global financial crisis Jour-

nal of International Money and Finance 89 1ndash22 URL httpwwwsciencedirectcomscience

articlepiiS0261560618303048 doihttpsdoiorg101016jjimonfin201808003

Das A amp Kumbhakar S C (2016) Markup and efficiency of Indian banks an input distance func-

tion approach Empirical Economics (pp 1ndash31) URL httplinkspringercomarticle101007

s00181-015-1062-4 doi101007s00181-015-1062-4

Ely R Tabak B amp Teixeira A (2019) Heterogeneous effects of the implementation of macroprudential

policies on bank risk MPRA Paper No94546

Freixas X Laeven L amp Peydro J-L (2015) Systemic Risk Crises and Macroprudential Regulation

Mit Press URL httpwwwjstororgstablejctt17kk82g

Galati G amp Moessner R (2013) Macroprudential policy ndash a literature review Jour-

nal of Economic Surveys 27 846ndash878 URL httpsonlinelibrarywileycom

27

doiabs101111j1467-6419201200729x doi101111j1467-6419201200729x

arXivhttpsonlinelibrarywileycomdoipdf101111j1467-6419201200729x

Gropp R Mosk T Ongena S amp Wix C (2018) Banks Response to Higher Cap-

ital Requirements Evidence from a Quasi-Natural Experiment The Review of Finan-

cial Studies 32 266ndash299 URL httpsdoiorg101093rfshhy052 doi101093rfshhy052

arXivhttpoupprodsislanrfsarticle-pdf32126627185080hhy052pdf

Hyde C E amp Perloff J M (1995) Can market power be estimated Review of Industrial Organization 10

465ndash485 URL httplinkspringercomarticle101007BF01024231 doi101007BF01024231

Igan D amp Kang H (2011) Do loan-to-value and debt-to-income limits work evidence from korea IMF

Working Papers (pp 1ndash34)

Jimenez G Ongena S Peydro J-L amp Saurina J (2017) Macroprudential policy countercyclical bank

capital buffers and credit supply Evidence from the spanish dynamic provisioning experiments Journal

of Political Economy 125 2126ndash2177 URL httpsdoiorg101086694289 doi101086694289

arXivhttpsdoiorg101086694289

Jondrow J Knox Lovell C A Materov I S amp Schmidt P (1982) On the estimation of technical

inefficiency in the stochastic frontier production function model Journal of Econometrics 19 233ndash

238 URL httpwwwsciencedirectcomsciencearticlepii0304407682900045 doi101016

0304-4076(82)90004-5

Klingelhoger J amp Sun R (2019) Macruprudential policy central banks and financial stability Evidence

from china Journal of International Money and Finance 93 19ndash41 URL httpsdoiorg101016

jjimonfin201812015

Kumbhakar S C (2012) Specification and estimation of primal production models European Journal

of Operational Research 217 509ndash518 URL httpwwwsciencedirectcomsciencearticlepii

S0377221711008939 doi101016jejor201109043

Kumbhakar S C Baardsen S amp Lien G (2012) A New Method for Estimating Market Power with

an Application to Norwegian Sawmilling Review of Industrial Organization 40 109ndash129 URL http

linkspringercomarticle101007s11151-012-9339-7 doi101007s11151-012-9339-7

Lerner A P (1934) The Concept of Monopoly and the Measurement of Monopoly Power The Review

of Economic Studies 1 157ndash175 URL httprestudoxfordjournalsorglookupdoi102307

2967480 doi1023072967480

Lim C H Costa A Columba F Kongsamut P Otani A Saiyid M Wezel T amp Wu X (2011)

Macroprudential policy what instruments and how to use them lessons from country experiences IMF

working papers (pp 1ndash85)

Lopez R A He X amp Azzam A (2018) Stochastic frontier estimation of market

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power in the food industries Journal of Agricultural Economics 69 3ndash17 URL https

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Lucinda C R (2010) Competition in the Brazilian loan market an empirical analysis Estudos Economicos

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S0101-41612010000400004amplng=enampnrm=isoamptlng=en doi101590S0101-41612010000400004

Moreno R (2011) Policymaking from arsquomacroprudentialrsquoperspective in emerging market economies

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Economics 42 33ndash52

29

Figure 1 Evolution of the Herfindahl Index (HHI) over time using credit and total assets for theBrazilian banking system

30

Figure 2 Marginal effects of HHI and prudential instruments (Capital Buffer Capital RequirementLTV Reserve Requirement (Foreign) Reserve Requirement (domestic) and cumulative prud) on the

mark-up u component

31

Figure 3 Frequency distribution of Lerner indexes for each model and density estimation Kernel by typeof control

32

Figure 4 Lerner indexes according to the size (market share) of banksrsquo assets

33

Figure 5 Average Lerner indices for each model between 2000q2 and 2014q4

34

Figure 6 Average Lerner indices estimated for public private national and private foreign banks between2000q2 and 2014q4

35

Figure 7 Frequency distribution of the returns to scale indexes for each model and density estimationKernel by type of control

36

Table 1 Variables used to IDF estimatation

Variabel Description SourceBasic variables

TR Total Revenue = Gross Insterest Income (a) + Bank-ing Service Fee Income (d1) + Banking Fee Income(d2) + Other Operating Income (d7)

Inc statIFData

TC Total Cost = Interest Expenses (b) + Personnel Ex-penses (d3) + Administrative Expenses (d4) + TaxExpenses (d5) + Other Operating Expenses (d8)

Inc statIFData

Y Loan Lease and Other Credit Operations by RiskLevel

SummaryIFData

x1 Personnel Expenses (d3) Inc statIFDatax2 Funding (e) LiabilitiesIFDatax3 Equity (j) LiabilitiesIFData

Model variabelslnRC Log of Revenue-Cost ratiolnY Log of total loanlnx1 Log of personnel expenses and equity ratio (x1x3)lnx2 Log of funding and equity ratio (x2x3)T Time

Prudential variables - Deterministic mark-up parametersHHIt HHIt =

sumS2it where Sit

2 is market share of totalasset of bank i on time t

Inc statIFData

cb cumulative change of capital buffer Cerutti et al (2016)cr cumulative change of capital requirement Cerutti et al (2016)ltv cumulative change of loan-to-value Cerutti et al (2016)

rr foreign cumulative change of reserve requirement (foreigncurrency)

Cerutti et al (2016)

rr local cumulative change of reserve requirement (domesticcurrency)

Cerutti et al (2016)

37

Table 2 Results of IDF estimation

Parameters VariablesEstimates

Model Model Model Model Model Model(1) (2) (3) (4) (5) (6)

Parametros da funcao insumo distanciaαY Y lnY -0013 -0003 -0004 -0012 -0011 -0005

(000) (000) (000) (000) (000) (000)α1Y lnx1 -0096 -0095 -0094 -0094 -0096 -0090

(001) (001) (001) (001) (001) (001)α2Y lnx2 -0019 -0022 -0022 -0019 -0020 -0021

(001) (001) (001) (001) (001) (001)αY T T -0000 -0000 -0000 -0000 -0000 -0000

(000) (000) (000) (000) (000) (000)αY const 1153 1010 1035 1134 1129 1057

(005) (007) (005) (005) (005) (006)

Deterministic Mark-up parametersδ1 HHI 764157

(12270)δ1 Capital

Buffer7586(065)

δ2 CapitalReq

4696(160)

δ1 Loan-to-value38511(671)

δ1 ResR(foreign)10730(433)

δ2 ResR(local)2869(126)

δ1 Cum Prud3237(020)

δ0 const minus10601minus10194minus5306 minus9866 minus8577 minus4993(032) (2064) (316) (079) (119) (122)

Distribution of u and vσ2u 2840 1418 1620 2643 2441 1593σ2v 0118 0121 0120 0118 0118 0120λ 2402 1172 1354 2233 2065 1325Log Lik 887404 922033 918606 896019 891991 907817

EstimatesEstimates of Mark-up (u)Avg 0075 0065 0068 0074 0075 00691st quartile 0052 0038 0051 0051 0051 0044Median 0062 0048 0060 0060 0061 00543st quartile 0080 0074 0079 0079 0079 0075std-dev 0053 0054 0053 0053 0054 0054

Note p lt 010 p lt 005 and p lt 001

38

Table 3 Estimates of Lerner index general and by type of control

EstimatesModel Model Model Model Model Model

(1) (2) (3) (4) (5) (6)Mark-up (L) generalAverage 0058 0051 0053 0057 0058 0053std-dev 0032 0034 0034 0032 0032 00331st quartile 0043 0031 0034 0041 0042 0036Median 0051 0039 0044 0050 0050 00453st quartile 0063 0060 0059 0063 0063 0060Mark-up (L) State-owned banksAverage 0057 0047 0049 0056 0056 0050std-dev 0018 0017 0017 0018 0016 00161st quartile 0047 0035 0038 0045 0046 0040Median 0054 0041 0046 0053 0053 00463st quartile 0064 0056 0056 0064 0063 0057Mark-up (L) National banksAverage 0057 0052 0054 0057 0057 0054std-dev 0034 0038 0038 0035 0035 00371st quartile 0041 0030 0033 0040 0041 0035Median 0050 0038 0043 0048 0049 00443st quartile 0061 0061 0060 0061 0062 0060Mark-up (L) Foreign banksAverage 0061 0050 0053 0059 0060 0054std-dev 0034 0033 0032 0034 0034 00321st quartile 0042 0031 0034 0041 0042 0036Median 0052 0040 0044 0051 0051 00453st quartile 0068 0059 0060 0066 0066 0061

Table 4 Estimates of returns to scale by control type and general

ModelState-owned

banksNational

banksForeignbanks

General std-dev Min Max

1 0944 0824 0842 0848 0073 0665 11242 0940 0829 0843 0851 0066 0690 10733 0938 0827 0842 0849 0066 0689 10764 0941 0824 0842 0848 0071 0671 11115 0942 0824 0841 0848 0072 0669 11136 0937 0829 0844 0850 0065 0692 1073

39

Appendix A Attachment Tables

Table A5 Cumulative change on Prudential Measures intensity

TimeCapitalBuffer 2

(cb)

CapitalReq(cr)

Loan-to-Value(ltv)

Reserve Reqlocal curr

(RR local)

Reserve Reqforeign cur

(RR foreign)

CumulativePrudential 3

(Cum Prud)2000q2 -1 0 0 0 -2 -32000q4 -1 0 0 0 -2 -32001q2 -1 0 0 0 -2 -32001q4 0 0 0 0 -1 -12002q2 0 0 0 0 0 02002q4 2 0 0 0 2 42003q2 0 0 0 0 3 32003q4 0 0 0 0 2 22004q2 0 0 0 0 2 22004q4 0 0 0 0 2 22005q2 0 0 0 0 2 22005q4 0 0 0 0 2 22006q2 0 0 0 0 2 22006q4 0 0 0 0 2 22007q2 2 0 0 0 2 42007q4 2 0 0 0 2 42008q2 2 0 0 0 2 42008q4 2 0 0 0 1 32009q2 2 0 0 0 0 22009q4 2 0 0 0 -1 12010q2 2 0 0 0 1 32010q4 3 0 0 0 3 62011q2 3 0 0 1 3 72011q4 4 0 0 2 3 92012q2 3 1 0 2 3 92012q4 3 1 0 1 2 72013q2 3 2 0 0 2 72013q4 3 2 1 0 2 82014q2 3 2 1 0 2 82014q4 2 2 1 0 3 82Sum of capital buffer and others 3Aggregate measure (It is the sum of the change of all other instrument)

40

Table A6 Estimates of Lerner index and return to scale by bank - Model (1)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0042 0082 0009 0940 0007 -85Banrisul S 0055 0041 0084 0009 0952 0008 -635BEC S 0048 0021 0077 0016 0844 0009 -1756BRB S 0058 0033 0100 0015 0961 0003 -1533BB S 0058 0039 0098 0012 0990 0006 -173Caixa Economica Federal S 0063 0051 0174 0022 1052 0004 1458B da Amazonia SA S 0057 0016 0124 0023 0844 0008 -2028B do Estado Do Para SA S 0061 0026 0110 0022 0936 0004 -1764B do Est do Maranhao SA S 0055 0046 0065 0006 0935 0014 -455B do Est do Piauı SA - Bep S 0057 0030 0155 0029 0862 0004 -326B do Estado De Sergipe SA S 0061 0024 0135 0022 0947 0004 -1453Nossa Caixa - N Banco SA S 0057 0036 0090 0013 0981 0004 -444Bradesco N 0056 0038 0114 0015 0925 0004 -1945Itau N 0059 0031 0220 0033 0901 0003 -3797Safra N 0053 0037 0085 0009 0885 0003 -4215Unibanco N 0055 0037 0088 0014 0897 0001 -7054Mercantil Do Brasil N 0057 0027 0077 0011 0945 0002 -2527BBM N 0076 0016 0300 0065 0783 0005 -4464BMC N 0052 0030 0079 0012 0845 0003 -4703BMG N 0065 0017 0208 0045 0779 0003 -729JMalucelli N 0047 0022 0069 0013 0718 0003 -8765PEBB N 0065 0017 0181 0047 0698 0008 -3914SS N 0057 0034 0220 0037 0799 0007 -2839Sofisa N 0054 0021 0092 0020 0804 0002 -9903BIC N 0060 0034 0236 0040 0855 0005 -276Schahin N 0056 0028 0214 0035 0835 0006 -262Stock N 0081 0020 0267 0067 0817 0006 -3107Pine N 0052 0022 0108 0019 0808 0004 -545Socopa N 0056 0027 0120 0017 0886 0003 -3806Intercap N 0060 0023 0212 0037 0812 0007 -2851Indusval N 0062 0030 0246 0043 0857 0005 -3139Bonsucesso N 0052 0020 0092 0018 0779 0005 -4033Industrial do Brasil N 0051 0031 0081 0016 0807 0002 -952Votorantim N 0052 0037 0107 0017 0819 0009 -2117Cacique N 0053 0024 0071 0014 0774 0005 -4621Inter Amex N 0055 0037 0068 0010 0837 0008 -2158Alfa N 0048 0041 0059 0005 0806 0002 -11303Rendimento N 0053 0022 0080 0012 0872 0008 -1562Bancoob N 0052 0046 0056 0003 0856 0003 -5061Original N 0085 0017 0279 0090 0729 0007 -4163Banco Intermedium SA N 0052 0028 0070 0015 0743 0006 -3973

Table A6 ndash Continue on next page

41

Table A6 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0225 0049 0761 0003 -7509Banco BBN SA N 0053 0027 0077 0014 0817 0012 -1509B Cooperativo Sicredi SA N 0052 0043 0062 0005 0875 0005 -2477B Cooperativo do Brasil SA N 0056 0046 0142 0020 0910 0006 -1479Banco Topazio SA N 0060 0035 0110 0027 0834 0006 -2966Banco Gerador SA N 0069 0045 0122 0028 0852 0008 -1968Banco Randon SA N 0109 0023 0320 0109 0783 0005 -4158Parana Banco SA N 0050 0026 0108 0020 0784 0008 -2799Banco Triangulo SA N 0055 0028 0091 0020 0833 0004 -4201Banco Guanabara SA N 0052 0024 0169 0025 0777 0004 -5588Banco Cedula SA N 0068 0012 0339 0061 0731 0003 -10236Banco Cacique SA N 0077 0028 0248 0077 0785 0016 -1309B Luso Brasileiro SA N 0065 0027 0208 0043 0849 0004 -349Banco Pecunia SA N 0047 0039 0060 0006 0770 0003 -7086Banco Zogbi SA N 0051 0038 0067 0011 0778 0001 -15193Banco Daycoval SA N 0054 0023 0131 0026 0783 0004 -5522B John Deere SA N 0059 0018 0133 0033 0756 0003 -7955Banco AJ Renner SA N 0053 0025 0081 0015 0827 0006 -2742ABN Amro F 0056 0039 0079 0014 0914 0002 -427Chase F 0068 0014 0228 0049 0790 0008 -2678LLoyds F 0053 0027 0064 0012 0825 0003 -5159BankBoston F 0057 0040 0099 0020 0902 0006 -1638Santander Brasil F 0057 0034 0097 0017 0890 0008 -146Citibank F 0059 0026 0153 0028 0875 0003 -4039BNL F 0055 0041 0097 0019 0840 0006 -2767Sudameris F 0056 0048 0065 0005 0966 0012 -297Societe Generale F 0060 0024 0153 0031 0826 0006 -299Europeu F 0054 0032 0073 0013 0848 0007 -2287ABC-Brasil F 0052 0025 0082 0014 0815 0003 -6207Dresdner F 0083 0017 0280 0074 0815 0006 -3234AGF Braseg F 0051 0031 0100 0016 0794 0004 -4923HSBC F 0057 0046 0092 0010 0971 0006 -466Deutsche F 0068 0013 0160 0036 0857 0004 -3335BNP Paribas F 0050 0037 0068 0007 0824 0005 -3665Barclays F 0052 0024 0089 0021 0771 0008 -2787Rabobank Int Brasil SA F 0058 0022 0166 0028 0842 0003 -5284B Nat de Paris Br SA F 0063 0023 0109 0033 0811 0006 -3331Ibibank SA - Banco Multiplo F 0059 0012 0106 0024 0781 0015 -1441Dresdner Bank - B Multiplo F 0086 0016 0244 0068 0768 0008 -2746Banco Westlb Do Brasil SA F 0064 0034 0108 0027 0839 0010 -1626Banco GE Capital SA F 0067 0032 0247 0047 0852 0010 -1527B Com Uruguai SA F 0072 0020 0192 0049 0830 0003 -52281S - State-owned bank N - National bank and F - Foreign bank

42

Table A7 Estimates of Lerner index and return to scale by bank - Model (2)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0049 0032 0085 0016 0944 0008 -716Banrisul S 0049 0032 0106 0017 0939 0008 -75BEC S 0032 0016 0046 0008 0860 0009 -1489BRB S 0049 0030 0112 0017 0961 0002 -1681BB S 0049 0032 0091 0016 0948 0006 -845Caixa Economica Federal S 0052 0034 0081 0014 1012 0003 382B da Amazonia SA S 0053 0015 0140 0028 0847 0008 -1922B do Estado Do Para SA S 0046 0029 0063 0009 0952 0005 -963B do Est do Maranhao SA S 0036 0029 0045 0005 0963 0016 -235B do Est do Piauı SA - Bep S 0036 0023 0071 0011 0888 0005 -2314B do Estado De Sergipe SA S 0050 0020 0155 0024 0962 0004 -1043Nossa Caixa - N Banco SA S 0039 0027 0074 0011 0972 0005 -601Bradesco N 0050 0028 0116 0023 0890 0004 -2618Itau N 0052 0024 0222 0037 0869 0003 -4269Safra N 0046 0028 0100 0017 0867 0003 -5042Unibanco N 0035 0028 0054 0007 0873 0001 -8511Mercantil Do Brasil N 0051 0029 0093 0019 0941 0002 -2837BBM N 0063 0012 0213 0048 0790 0005 -4494BMC N 0034 0023 0049 0007 0851 0003 -4266BMG N 0065 0015 0233 0057 0776 0004 -6135JMalucelli N 0052 0018 0080 0016 0720 0003 -9566PEBB N 0037 0014 0108 0025 0732 0009 -3086SS N 0056 0024 0236 0046 0797 0007 -2849Sofisa N 0052 0018 0107 0028 0808 0002 -8115BIC N 0057 0026 0259 0050 0850 0006 -2531Schahin N 0047 0022 0225 0041 0845 0007 -2359Stock N 0078 0017 0287 0071 0843 0006 -2782Pine N 0048 0018 0114 0023 0811 0004 -4973Socopa N 0050 0022 0136 0024 0908 0003 -3089Intercap N 0051 0019 0133 0031 0832 0006 -2759Indusval N 0061 0023 0267 0052 0866 0006 -2437Bonsucesso N 0050 0017 0109 0026 0791 0006 -3655Industrial do Brasil N 0044 0024 0079 0015 0816 0002 -8095Votorantim N 0048 0025 0120 0026 0807 0007 -2721Cacique N 0033 0020 0039 0006 0782 0005 -4597Inter Amex N 0035 0025 0045 0007 0844 0006 -2419Alfa N 0042 0029 0069 0013 0801 0002 -12139Rendimento N 0049 0019 0077 0015 0889 0008 -1394Bancoob N 0065 0057 0073 0006 0855 0003 -4199Original N 0099 0019 0299 0096 0732 0006 -4473Banco Intermedium SA N 0062 0032 0081 0019 0754 0006 -4393

Table A7 ndash Continue on next page

43

Table A7 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0059 0016 0239 0051 0778 0003 -6944Banco BBN SA N 0035 0020 0053 0009 0834 0011 -1466B Cooperativo Sicredi SA N 0045 0032 0070 0011 0881 0005 -2581B Cooperativo do Brasil SA N 0045 0029 0147 0025 0922 0006 -1274Banco Topazio SA N 0076 0043 0138 0038 0861 0005 -2569Banco Gerador SA N 0089 0054 0153 0037 0874 0008 -1645Banco Randon SA N 0122 0029 0335 0113 0803 0005 -388Parana Banco SA N 0033 0020 0062 0011 0800 0009 -234Banco Triangulo SA N 0052 0022 0105 0027 0841 0004 -4148Banco Guanabara SA N 0046 0019 0091 0020 0793 0004 -5561Banco Cedula SA N 0062 0011 0359 0067 0749 0003 -9911Banco Cacique SA N 0049 0020 0157 0048 0791 0016 -1315Banco Luso Brasileiro SA N 0066 0022 0241 0055 0870 0005 -2851Banco Pecunia SA N 0032 0027 0036 0003 0787 0003 -6876Banco Zogbi SA N 0032 0026 0037 0005 0784 0002 -13006Banco Daycoval SA N 0053 0019 0139 0036 0784 0004 -6065Banco John Deere SA N 0035 0016 0073 0016 0761 0003 -8278Banco AJ Renner SA N 0047 0021 0083 0015 0844 0006 -2553ABN Amro F 0035 0027 0047 0006 0889 0002 -7231Chase F 0054 0013 0157 0033 0804 0007 -2702LLoyds F 0033 0020 0043 0008 0821 0003 -5429BankBoston F 0036 0026 0060 0011 0888 0006 -1917Santander Brasil F 0055 0025 0115 0030 0864 0008 -1647Citibank F 0051 0020 0132 0025 0860 0003 -4735BNL F 0036 0026 0062 0012 0843 0005 -2959Sudameris F 0036 0031 0040 0004 0949 0011 -468Societe Generale F 0051 0018 0104 0024 0835 0007 -2454Europeu F 0034 0025 0041 0006 0859 0007 -2076ABC-Brasil F 0043 0026 0086 0015 0813 0003 -5797Dresdner F 0050 0014 0190 0046 0824 0004 -3975AGF Braseg F 0044 0024 0068 0014 0810 0005 -4109HSBC F 0052 0031 0110 0021 0948 0007 -776Deutsche F 0054 0012 0166 0030 0866 0005 -2754BNP Paribas F 0049 0028 0073 0013 0818 0004 -4092Barclays F 0065 0028 0121 0027 0811 0005 -4028Rabobank Int Brasil SA F 0047 0017 0102 0017 0845 0003 -4605B Nat de Paris Brasil SA F 0036 0017 0054 0013 0819 0005 -3304Ibibank SA - Banco Multiplo F 0043 0010 0114 0025 0782 0013 -1623Dresdner Bank - B Multiplo F 0096 0015 0270 0076 0785 0007 -2924Banco Westlb Do Brasil SA F 0041 0026 0062 0013 0853 0010 -154Banco GE Capital SA F 0054 0026 0253 0049 0862 0010 -1444B Com Uruguai SA F 0070 0017 0220 0058 0849 0003 -4471S - State-owned bank N - National bank and F - Foreign bank

44

Table A8 Estimates of Lerner index and return to scale by bank - Model (3)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0034 0090 0016 0941 0008 -772Banrisul S 0051 0032 0108 0016 0938 0008 -772BEC S 0035 0018 0051 0009 0856 0009 -1562BRB S 0052 0032 0122 0018 0958 0002 -1793BB S 0052 0035 0085 0015 0951 0006 -809Caixa Economica Federal S 0054 0039 0098 0014 1015 0003 465B da Amazonia SA S 0053 0014 0113 0024 0845 0008 -1977B do Estado Do Para SA S 0049 0028 0071 0010 0947 0005 -1117B do E do Maranhao SA S 0041 0032 0059 0008 0957 0015 -285B do E do Piauı SA - Bep S 0041 0028 0086 0014 0882 0005 -2518B do Estado De Sergipe SA S 0052 0021 0145 0022 0957 0004 -1182Nossa Caixa - N Banco SA S 0045 0029 0081 0015 0971 0005 -651Bradesco N 0052 0029 0101 0021 0893 0004 -2614Itau N 0054 0025 0203 0034 0872 0003 -4328Safra N 0048 0029 0093 0015 0869 0003 -5008Unibanco N 0041 0028 0067 0010 0874 0001 -8514Mercantil Do Brasil N 0053 0026 0095 0018 0939 0002 -29BBM N 0067 0013 0250 0056 0789 0005 -4501BMC N 0038 0024 0069 0010 0849 0003 -4408BMG N 0067 0015 0233 0058 0776 0004 -6374JMalucelli N 0052 0022 0087 0016 0720 0003 -9426PEBB N 0045 0014 0158 0040 0727 0009 -3192SS N 0057 0025 0231 0046 0797 0007 -287Sofisa N 0053 0018 0116 0026 0807 0002 -8444BIC N 0059 0030 0250 0049 0850 0006 -2596Schahin N 0048 0023 0220 0038 0842 0007 -2424Stock N 0083 0017 0304 0077 0838 0006 -2873Pine N 0049 0019 0105 0020 0810 0004 -5103Socopa N 0050 0026 0111 0018 0903 0003 -3253Intercap N 0055 0020 0196 0036 0828 0006 -283Indusval N 0062 0029 0282 0052 0863 0005 -2588Bonsucesso N 0051 0017 0118 0025 0789 0006 -3771Industrial do Brasil N 0046 0025 0086 0015 0815 0002 -8341Votorantim N 0050 0027 0128 0027 0809 0007 -2664Cacique N 0037 0020 0048 0009 0781 0005 -4645Inter Amex N 0039 0026 0058 0009 0842 0006 -2468Alfa N 0044 0031 0072 0011 0801 0002 -11998Rendimento N 0049 0022 0078 0011 0885 0008 -1463Bancoob N 0066 0057 0077 0007 0854 0003 -4342Original N 0102 0019 0301 0096 0730 0006 -4526Banco Intermedium SA N 0059 0027 0083 0020 0752 0006 -4354

Table A8 ndash Continue on next page

45

Table A8 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0017 0217 0054 0776 0003 -7084Banco BBN SA N 0038 0022 0058 0010 0831 0011 -1492B Cooperativo Sicredi SA N 0047 0035 0071 0010 0879 0005 -259B Cooperativo do Brasil SA N 0046 0035 0128 0020 0919 0006 -1339Banco Topazio SA N 0075 0036 0153 0041 0855 0005 -2657Banco Gerador SA N 0091 0057 0144 0034 0869 0008 -173Banco Randon SA N 0124 0029 0332 0112 0799 0005 -4023Parana Banco SA N 0036 0021 0071 0012 0797 0008 -2452Banco Triangulo SA N 0053 0023 0115 0027 0839 0004 -4256Banco Guanabara SA N 0047 0020 0100 0019 0790 0004 -561Banco Cedula SA N 0066 0012 0362 0068 0747 0003 -10082Banco Cacique SA N 0063 0026 0231 0074 0789 0016 -1336Banco Luso Brasileiro SA N 0066 0026 0249 0053 0865 0005 -2985Banco Pecunia SA N 0034 0029 0041 0004 0784 0003 -7038Banco Zogbi SA N 0036 0027 0046 0006 0782 0002 -13399Banco Daycoval SA N 0054 0019 0131 0034 0784 0004 -607Banco John Deere SA N 0039 0015 0083 0018 0761 0003 -8316Banco AJ Renner SA N 0049 0024 0073 0013 0840 0006 -2621ABN Amro F 0041 0030 0066 0009 0890 0002 -6866Chase F 0059 0013 0173 0039 0801 0007 -2733LLoyds F 0038 0021 0055 0010 0821 0003 -5484BankBoston F 0040 0028 0063 0012 0888 0006 -1931Santander Brasil F 0056 0028 0107 0027 0866 0008 -1663Citibank F 0052 0022 0123 0023 0860 0003 -4735BNL F 0039 0028 0063 0014 0841 0005 -2966Sudameris F 0041 0036 0052 0006 0948 0011 -473Societe Generale F 0052 0020 0103 0022 0833 0006 -2579Europeu F 0038 0030 0049 0007 0856 0007 -2153ABC-Brasil F 0046 0029 0079 0014 0813 0003 -5935Dresdner F 0055 0014 0212 0052 0822 0005 -3913AGF Braseg F 0046 0027 0071 0014 0806 0005 -4276HSBC F 0053 0032 0101 0019 0949 0007 -784Deutsche F 0058 0013 0141 0029 0863 0005 -2878BNP Paribas F 0051 0030 0074 0012 0818 0004 -4118Barclays F 0066 0025 0130 0030 0805 0005 -4123Rabobank Int Brasil SA F 0049 0019 0109 0018 0844 0003 -4752B Nat de Paris Brasil SA F 0041 0019 0069 0018 0817 0005 -3368Ibibank SA - Banco Multiplo F 0046 0010 0095 0021 0781 0014 -1617Dresdner Bank - B Multiplo F 0093 0017 0282 0072 0782 0008 -2899Banco Westlb Do Brasil SA F 0044 0027 0069 0015 0850 0009 -1591Banco GE Capital SA F 0055 0026 0249 0046 0859 0009 -1489B Com Uruguai SA F 0071 0017 0228 0056 0845 0003 -46241S - State-owned bank N - National bank and F - Foreign bank

46

Table A9 Estimates of Lerner index and return to scale by bank - Model (4)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0054 0041 0078 0011 0939 0007 -873Banrisul S 0055 0040 0106 0014 0948 0008 -692BEC S 0046 0020 0072 0014 0846 0009 -1746BRB S 0057 0032 0094 0016 0959 0002 -1673BB S 0057 0038 0095 0014 0981 0006 -33Caixa Economica Federal S 0061 0049 0165 0021 1042 0003 1249B da Amazonia SA S 0056 0015 0117 0022 0844 0008 -2047B do Estado Do Para SA S 0059 0025 0103 0020 0936 0004 -1701B do E Do Maranhao SA S 0052 0044 0062 0005 0936 0014 -448B do E Do Piauı SA - Bep S 0054 0029 0147 0028 0865 0004 -3201B do Estado De Sergipe SA S 0061 0023 0168 0026 0947 0004 -1484Nossa Caixa - N Banco SA S 0054 0035 0085 0012 0977 0004 -547Bradesco N 0056 0036 0107 0017 0919 0004 -2123Itau N 0058 0030 0212 0032 0896 0003 -3979Safra N 0052 0035 0107 0013 0882 0003 -445Unibanco N 0052 0035 0082 0013 0892 0001 -7446Mercantil Do Brasil N 0057 0027 0093 0015 0942 0002 -2687BBM N 0075 0015 0294 0064 0784 0005 -4512BMC N 0050 0029 0074 0011 0846 0003 -472BMG N 0065 0016 0202 0047 0779 0003 -7192JMalucelli N 0048 0022 0071 0014 0720 0003 -8923PEBB N 0061 0016 0172 0044 0704 0008 -382SS N 0056 0033 0213 0037 0799 0007 -2875Sofisa N 0053 0020 0087 0019 0805 0002 -9731BIC N 0061 0033 0269 0048 0854 0005 -2768Schahin N 0053 0027 0205 0034 0836 0006 -2627Stock N 0081 0020 0265 0068 0820 0006 -3122Pine N 0052 0022 0118 0021 0808 0004 -5467Socopa N 0054 0026 0114 0016 0888 0003 -3785Intercap N 0057 0023 0203 0035 0815 0006 -2877Indusval N 0062 0029 0239 0043 0857 0005 -3085Bonsucesso N 0052 0019 0088 0018 0782 0005 -403Industrial do Brasil N 0050 0030 0076 0015 0809 0002 -9427Votorantim N 0051 0036 0102 0017 0817 0008 -2222Cacique N 0050 0023 0067 0013 0776 0005 -4659Inter Amex N 0052 0035 0064 0009 0837 0007 -2226Alfa N 0048 0039 0071 0007 0805 0002 -11484Rendimento N 0052 0022 0076 0013 0874 0008 -1571Bancoob N 0057 0045 0071 0011 0855 0003 -5022Original N 0094 0017 0278 0090 0730 0006 -4242Banco Intermedium SA N 0049 0027 0065 0014 0746 0006 -4054

Table A9 ndash Continue on next page

47

Table A9 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0019 0220 0050 0764 0003 -7516Banco BBN SA N 0050 0027 0072 0013 0819 0012 -1529B Cooperativo Sicredi SA N 0051 0041 0068 0006 0875 0005 -2551B Cooperativo do Brasil SA N 0053 0044 0134 0018 0910 0006 -151Banco Topazio SA N 0066 0035 0128 0036 0837 0005 -2981Banco Gerador SA N 0082 0045 0157 0043 0854 0007 -1967Banco Randon SA N 0106 0026 0312 0105 0786 0005 -4204Parana Banco SA N 0048 0025 0102 0018 0787 0008 -2768Banco Triangulo SA N 0054 0027 0088 0021 0834 0004 -427Banco Guanabara SA N 0051 0023 0161 0025 0780 0004 -5659Banco Cedula SA N 0069 0012 0360 0065 0735 0003 -1028Banco Cacique SA N 0073 0027 0240 0075 0786 0016 -1327Banco Luso Brasileiro SA N 0065 0026 0242 0047 0852 0004 -346Banco Pecunia SA N 0045 0037 0056 0006 0773 0003 -7139Banco Zogbi SA N 0048 0036 0064 0010 0779 0001 -15057Banco Daycoval SA N 0055 0022 0126 0030 0784 0004 -568Banco John Deere SA N 0056 0018 0125 0031 0757 0003 -8084Banco AJ Renner SA N 0051 0025 0077 0013 0829 0006 -2763ABN Amro F 0053 0038 0074 0013 0909 0002 -4803Chase F 0066 0014 0220 0046 0793 0008 -2711LLoyds F 0050 0026 0060 0011 0825 0003 -5323BankBoston F 0054 0038 0092 0018 0899 0006 -1734Santander Brasil F 0056 0033 0098 0019 0885 0007 -1529Citibank F 0059 0025 0145 0030 0872 0003 -421BNL F 0052 0039 0091 0018 0840 0006 -2854Sudameris F 0053 0046 0062 0005 0961 0011 -352Societe Generale F 0058 0023 0144 0028 0827 0006 -2968Europeu F 0052 0031 0069 0012 0849 0007 -23ABC-Brasil F 0051 0028 0091 0015 0815 0003 -6225Dresdner F 0078 0017 0271 0071 0816 0005 -339AGF Braseg F 0050 0030 0094 0015 0797 0004 -4873HSBC F 0057 0045 0116 0016 0966 0006 -562Deutsche F 0066 0013 0151 0034 0858 0004 -3316BNP Paribas F 0050 0036 0071 0010 0823 0005 -3772Barclays F 0057 0024 0102 0025 0777 0007 -3003Rabobank Int Brasil SA F 0057 0021 0157 0026 0842 0003 -5266B Nat de Paris Brasil SA F 0059 0023 0102 0030 0812 0006 -3387Ibibank SA - Banco Multiplo F 0056 0012 0100 0023 0781 0015 -148Dresdner Bank - B Multiplo F 0084 0016 0237 0064 0771 0008 -2798Banco Westlb Do Brasil SA F 0061 0033 0101 0025 0841 0010 -1646Banco GE Capital SA F 0063 0031 0238 0044 0853 0010 -1548B Com Uruguai SA F 0074 0020 0226 0056 0833 0003 -51921S - State-owned bank N - National bank and F - Foreign bank

48

Table A10 Estimates of Lerner index and return to scale by bank - Model (5)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0043 0093 0012 0940 0007 -834Banrisul S 0054 0041 0083 0009 0949 0008 -668BEC S 0046 0020 0075 0014 0846 0009 -1719BRB S 0058 0032 0121 0017 0960 0002 -1607BB S 0056 0037 0087 0010 0981 0006 -321Caixa Economica Federal S 0061 0050 0156 0019 1044 0003 1282B da Amazonia SA S 0057 0016 0115 0023 0843 0008 -2023B do Estado Do Para SA S 0059 0027 0102 0020 0938 0004 -1608B do E Do Maranhao SA S 0052 0042 0064 0006 0939 0015 -418B do E Do Piauı SA - Bep S 0054 0029 0138 0025 0866 0004 -3097B do Estado De Sergipe SA S 0059 0024 0136 0020 0949 0004 -1404Nossa Caixa - N Banco SA S 0055 0036 0088 0013 0979 0004 -494Bradesco N 0056 0037 0108 0016 0918 0004 -2108Itau N 0058 0031 0213 0033 0894 0003 -3968Safra N 0052 0036 0086 0010 0881 0003 -4388Unibanco N 0053 0037 0085 0013 0892 0001 -7433Mercantil Do Brasil N 0057 0027 0086 0012 0943 0002 -2619BBM N 0075 0015 0292 0063 0784 0005 -447BMC N 0050 0029 0077 0012 0846 0003 -4648BMG N 0067 0017 0220 0051 0777 0003 -7116JMalucelli N 0049 0022 0083 0016 0718 0003 -8879PEBB N 0060 0017 0176 0044 0704 0008 -3743SS N 0059 0032 0223 0041 0798 0007 -2847Sofisa N 0055 0021 0112 0022 0804 0002 -9624BIC N 0060 0032 0238 0041 0853 0005 -2725Schahin N 0055 0028 0228 0038 0836 0006 -2575Stock N 0082 0019 0267 0068 0821 0006 -3063Pine N 0052 0022 0096 0018 0808 0004 -5392Socopa N 0055 0027 0113 0016 0889 0003 -3694Intercap N 0060 0023 0210 0037 0814 0006 -2856Indusval N 0062 0029 0245 0044 0857 0005 -3023Bonsucesso N 0053 0020 0113 0022 0781 0005 -3999Industrial do Brasil N 0051 0030 0084 0016 0808 0002 -9274Votorantim N 0052 0037 0130 0022 0816 0008 -2227Cacique N 0049 0024 0065 0012 0775 0005 -4632Inter Amex N 0052 0034 0067 0011 0837 0007 -2236Alfa N 0047 0041 0056 0004 0804 0002 -11448Rendimento N 0053 0022 0079 0011 0874 0008 -1549Bancoob N 0056 0050 0064 0005 0856 0003 -4874Original N 0087 0018 0288 0093 0728 0006 -4259Banco Intermedium SA N 0055 0027 0078 0019 0744 0006 -4047

Table A10 ndash Continue on next page

49

Table A10 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0217 0048 0763 0003 -7417Banco BBN SA N 0051 0026 0075 0014 0820 0012 -1504B Cooperativo Sicredi SA N 0051 0040 0061 0005 0876 0005 -2499B Cooperativo do Brasil SA N 0054 0043 0136 0019 0912 0006 -1445Banco Topazio SA N 0061 0034 0109 0026 0838 0006 -2897Banco Gerador SA N 0073 0052 0124 0026 0855 0008 -1918Banco Randon SA N 0120 0024 0327 0114 0785 0005 -4153Parana Banco SA N 0048 0026 0106 0020 0786 0008 -2732Banco Triangulo SA N 0055 0027 0111 0022 0834 0004 -4227Banco Guanabara SA N 0052 0024 0153 0024 0779 0004 -5589Banco Cedula SA N 0069 0012 0339 0062 0734 0003 -10232Banco Cacique SA N 0076 0027 0246 0076 0785 0016 -1317Banco Luso Brasileiro SA N 0067 0027 0207 0047 0852 0004 -3379Banco Pecunia SA N 0046 0038 0054 0006 0773 0003 -71Banco Zogbi SA N 0047 0037 0061 0010 0778 0001 -14931Banco Daycoval SA N 0054 0022 0126 0026 0782 0004 -5661Banco John Deere SA N 0056 0018 0129 0031 0756 0003 -8043Banco AJ Renner SA N 0053 0025 0080 0015 0829 0006 -2716ABN Amro F 0053 0038 0074 0012 0908 0002 -4751Chase F 0067 0014 0225 0047 0792 0008 -2693LLoyds F 0049 0025 0064 0012 0824 0003 -5227BankBoston F 0054 0037 0096 0020 0899 0006 -1701Santander Brasil F 0057 0033 0103 0019 0884 0008 -1511Citibank F 0059 0026 0154 0028 0871 0003 -4204BNL F 0052 0037 0097 0020 0840 0006 -28Sudameris F 0052 0045 0058 0005 0962 0011 -334Societe Generale F 0060 0023 0151 0031 0827 0006 -2924Europeu F 0050 0032 0066 0012 0849 0007 -2263ABC-Brasil F 0051 0025 0079 0014 0814 0003 -617Dresdner F 0080 0017 0276 0073 0816 0005 -3374AGF Braseg F 0050 0031 0093 0015 0796 0004 -4812HSBC F 0057 0043 0093 0011 0966 0006 -541Deutsche F 0066 0013 0155 0035 0858 0004 -3244BNP Paribas F 0050 0035 0067 0008 0822 0005 -3775Barclays F 0056 0024 0113 0025 0778 0007 -305Rabobank Int Brasil SA F 0057 0021 0163 0027 0842 0003 -5208B Nat de Paris Brasil SA F 0058 0022 0100 0029 0812 0006 -3343Ibibank SA - Banco Multiplo F 0057 0012 0099 0023 0780 0015 -1478Dresdner Bank - B Multiplo F 0087 0016 0244 0068 0770 0008 -2768Banco Westlb Do Brasil SA F 0063 0034 0106 0026 0841 0010 -1625Banco GE Capital SA F 0064 0032 0247 0046 0853 0010 -1522B Com Uruguai SA F 0073 0019 0191 0049 0833 0003 -50981S - State-owned bank N - National bank and F - Foreign bank

50

Table A11 Estimates of Lerner index and return to scale by bank - Model (6)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0036 0096 0015 0939 0007 -855Banrisul S 0050 0035 0098 0014 0938 0008 -82BEC S 0041 0019 0067 0012 0855 0009 -1644BRB S 0053 0029 0124 0018 0956 0002 -1996BB S 0051 0032 0088 0013 0954 0006 -807Caixa Economica Federal S 0054 0040 0094 0012 1014 0003 475B da Amazonia SA S 0053 0015 0103 0022 0846 0008 -205B do Estado Do Para SA S 0051 0028 0074 0013 0943 0004 -1319B do E Do Maranhao SA S 0041 0031 0059 0008 0950 0014 -346B do E Do Piauı SA - Bep S 0042 0028 0084 0012 0879 0004 -2727B do Estado De Sergipe SA S 0052 0022 0153 0022 0953 0003 -1377Nossa Caixa - N Banco SA S 0047 0032 0081 0014 0969 0004 -74Bradesco N 0052 0032 0097 0019 0898 0004 -2645Itau N 0054 0027 0190 0031 0877 0003 -4452Safra N 0049 0032 0100 0015 0872 0003 -5056Unibanco N 0043 0032 0067 0010 0878 0001 -8666Mercantil Do Brasil N 0053 0026 0087 0017 0938 0002 -3104BBM N 0066 0013 0251 0056 0792 0005 -4556BMC N 0041 0026 0069 0011 0850 0003 -4582BMG N 0067 0016 0228 0057 0781 0003 -6611JMalucelli N 0051 0022 0089 0017 0725 0003 -9344PEBB N 0046 0015 0157 0039 0728 0008 -3313SS N 0058 0025 0230 0046 0801 0007 -292Sofisa N 0053 0020 0119 0025 0809 0002 -8846BIC N 0060 0029 0262 0049 0852 0005 -2697Schahin N 0049 0025 0229 0040 0843 0006 -2523Stock N 0081 0017 0284 0072 0836 0005 -2986Pine N 0049 0021 0112 0019 0812 0004 -5267Socopa N 0050 0026 0095 0015 0900 0003 -3515Intercap N 0055 0021 0196 0035 0828 0006 -2899Indusval N 0061 0029 0262 0049 0863 0005 -2762Bonsucesso N 0052 0019 0123 0026 0791 0005 -3885Industrial do Brasil N 0046 0027 0088 0015 0816 0002 -8698Votorantim N 0051 0027 0139 0027 0813 0007 -262Cacique N 0039 0022 0050 0009 0784 0005 -4707Inter Amex N 0045 0027 0064 0012 0843 0006 -2493Alfa N 0044 0033 0068 0009 0805 0002 -12111Rendimento N 0050 0022 0073 0010 0883 0008 -1543Bancoob N 0066 0055 0072 0007 0856 0003 -4559Original N 0098 0020 0294 0094 0735 0006 -4509Banco Intermedium SA N 0057 0024 0085 0022 0756 0006 -4324

Table A11 ndash Continue on next page

51

Table A11 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0061 0017 0195 0048 0777 0003 -7233Banco BBN SA N 0042 0023 0059 0012 0831 0011 -1529B Cooperativo Sicredi SA N 0048 0035 0066 0009 0879 0005 -2672B Cooperativo do Brasil SA N 0046 0034 0119 0017 0917 0006 -1439Banco Topazio SA N 0070 0031 0129 0036 0853 0005 -2776Banco Gerador SA N 0086 0057 0148 0034 0867 0007 -1825Banco Randon SA N 0126 0028 0331 0114 0799 0005 -4136Parana Banco SA N 0039 0023 0082 0015 0798 0008 -2556Banco Triangulo SA N 0052 0025 0116 0025 0840 0004 -4363Banco Guanabara SA N 0048 0021 0100 0019 0792 0004 -5683Banco Cedula SA N 0067 0013 0356 0067 0749 0002 -10205Banco Cacique SA N 0067 0026 0232 0073 0792 0015 -1356Banco Luso Brasileiro SA N 0065 0025 0237 0052 0864 0004 -3163Banco Pecunia SA N 0037 0029 0045 0006 0786 0003 -7158Banco Zogbi SA N 0037 0027 0045 0007 0785 0002 -13921Banco Daycoval SA N 0053 0020 0120 0031 0787 0003 -6088Banco John Deere SA N 0043 0017 0099 0022 0764 0003 -8346Banco AJ Renner SA N 0050 0025 0080 0013 0840 0006 -2706ABN Amro F 0043 0035 0067 0008 0894 0002 -6685Chase F 0059 0014 0189 0040 0803 0007 -2772LLoyds F 0039 0021 0055 0012 0824 0003 -5536BankBoston F 0044 0029 0075 0015 0890 0006 -1965Santander Brasil F 0054 0028 0107 0024 0871 0008 -1694Citibank F 0054 0023 0133 0026 0863 0003 -4787BNL F 0042 0028 0078 0018 0843 0005 -2998Sudameris F 0041 0036 0052 0006 0948 0010 -491Societe Generale F 0054 0020 0118 0025 0834 0006 -2716Europeu F 0038 0029 0049 0008 0856 0006 -2239ABC-Brasil F 0046 0028 0084 0014 0816 0003 -6111Dresdner F 0063 0015 0239 0061 0823 0005 -3888AGF Braseg F 0047 0027 0074 0014 0807 0004 -4477HSBC F 0054 0032 0109 0018 0950 0006 -823Deutsche F 0058 0013 0122 0028 0863 0004 -305BNP Paribas F 0051 0032 0070 0011 0822 0004 -4145Barclays F 0064 0024 0128 0029 0802 0005 -4051Rabobank Int Brasil SA F 0051 0019 0130 0021 0846 0003 -4992B Nat de Paris Brasil SA F 0043 0019 0070 0019 0819 0005 -3429Ibibank SA - Banco Multiplo F 0049 0010 0083 0020 0785 0013 -161Dresdner Bank - B Multiplo F 0087 0016 0261 0066 0783 0007 -2901Banco Westlb Do Brasil SA F 0051 0030 0082 0019 0850 0009 -1643Banco GE Capital SA F 0053 0028 0239 0044 0859 0009 -1544B Com Uruguai SA F 0071 0017 0217 0054 0845 0003 -48451S - State-owned bank N - National bank and F - Foreign bank

52

Seacuterie de Textos para Discussatildeo do Curso de Ciecircncias Econocircmicas ndash FACEUFG ndash TD [078]

EDITORIAL FACE ndash Faculdade de Administraccedilatildeo Ciecircncias Contaacutebeis e Ciecircncias Econocircmicas Curso de Ciecircncias Econocircmicas Direccedilatildeo FACE Prof Moiseacutes Ferreira da Cunha Vice-Direccedilatildeo FACE Profordf Andreacutea Freire de Lucena Coordenaccedilatildeo do Curso de Ciecircncias Econocircmicas Prof Tiago Camarinha Lopes NEPEC ndash Nuacutecleo de Estudos e Pesquisas Econocircmicas Coordenaccedilatildeo Prof Seacutergio Fornazier Meyrelles Filho SEacuteRIE DE TEXTOS PARA DISCUSSAtildeO DO CURSO DE CIEcircNCIAS ECONOcircMICAS DA UFG Coordenaccedilatildeo e Equipe de Editoraccedilatildeo Prof Sandro Eduardo Monsueto Adriana Moura Guimaratildees Matheus Henrique de Arauacutejo Dutra

Endereccedilo Campus Samambaia Preacutedio da FACE ndash Rodovia GoiacircniaNova Veneza km 0 ndash CEP 74690-900 Goiacircnia ndash GO Tel (62) 3521 ndash 1390 URL httpwwwfaceufgbreconomia Publicaccedilatildeo cujo objetivo eacute divulgar resultados de estudos que contam com a participaccedilatildeo de pesquisadores do NEPEC As opiniotildees contidas nesta publicaccedilatildeo satildeo de inteira responsabilidade do(s) autor(es) natildeo representando necessariamente o ponto de vista do NEPEC ou da FACEUFG Eacute permitida a reproduccedilatildeo desde que citada a fonte

Page 16: 1(3(& )$&( 8)* · The Dark Side of Prudential MeasuresI Paulo R. Scalco a, Benjamin M. Tabak1, Anderson M. Teixeira aFaculty of Management, Accounting and Economics, Federal University

34 Returns to Scale

Finally we can use the estimates of equation 16 to obtain other characteristics of tech-

nology such as the return to scale and the scale bias Formally EC = partlnCpartlnY

= (partCpartY

)(YC) =

MCAC where AC represents the average cost This means that the return to scale is

inversely related to cost elasticity that is RTS = 1EC If EC = 1 we will have constant re-

turns to scale if EC lt 1 we will have increasing returns (economies of scale) and if (EC gt 1)

we will have decreasing returns (diseconomies of scale) Again using the duality condition

between IDF and the cost function we can use the estimates of equation 16 to calculate the

return to scale and scale bias Respectively

RTS =1

αY + αY Y lnY +sumJminus1

j=1 αjY ln xj + αY TT(22)

and

Scale Bias = αY T (23)

If the scale bias parameter (αY T ) is statistically significant and greater than zero this

suggests that technological change is reducing economies of scale over time

4 Database and empirical approach

The database used can be divided into two parts The first part includes the information

of all FI authorized to operate in Brazil by the Brazilian Central Bank (BCB) This infor-

mation is available on the BCBrsquos website through the IFdata system and contains detailed

information on the balance sheet income statement and credit portfolio of all IFs In ad-

dition data are available on an individual basis as well as on financial conglomerates and

prudential conglomerates1 For this work we use the concept of financial conglomerates In

1The BCB defines as a financial conglomerate the group of financial entities directly or unrelated byshareholding or by effective operational control characterized by standard management or by operatingin the market under the same brand or commercial name (Circular note no 1273 from Brazilian CentralBank) The concept of a prudential conglomerate in turn encompasses a broader universe of entities suchas consortium administrators payment institutions and companies that purchase credit operations (Officedocument no 1273 from Brazilian Central Bank)

14

December 2018 there was information on a total of 2753 IFs between commercial banks

or multiple banks with and without commercial portfolios credit cooperatives development

banks among others arranged quarterly since the first quarter of 2000

Our sample was restricted only to commercial banks or multiple banks with commercial

portfolios and savings banks Banks with loan portfolio equal zero and did not contain

information for at least three consecutive years were excluded In the same way we excluded

banks with observations that fell bellow 1st percentile of the sample for each one of variables

used in the model or above 99th percentile only for the dependent variable RC = TRC

Furthermore we chose to work with the data on a semi-annual basis (June and December

base dates) because inconsistencies we have found in some quarterly accounting data After

applying all these criteria our sample was restricted to a panel with only 83 banks between

the first half of 2000 and the second half of 2014 totaling 1818 observations2 In terms

of representativeness our sample with only 83 banks corresponded to 794 of the total

assets and 817 of the credit portfolio of the entire SFN in December 2014

The second database was obtained from Cerutti et al (2016) In this unprecedented

database the focus is on the change and intensity in the use of a set of prudential instruments

classified as micro-prudential and macro-prudential3 They collect the data for 64 countries

with a quarterly period covering the period between the first quarter of 2000 and the fourth

quarter of 2014 In the database in addition to a considerable number of countries the

information collected by the authors has the objective of mapping the intensity and the

change occurring quarterly in each of the prudential instruments

The original instruments of the database are the capital requirement capital buffer

interbank exposure limit concentration limit maximum loan amount commonly known as

Loan-to-value and reserve requirement

Concerning the capital requirement instrument we can understand it as an imposition

2Although the BCB has information until the second half of 2018 the database with prudential variablesavailable in the article by Cerutti et al (2016) goes only until the second half of 2014

3The database of Cerutti et al (2016) is a considerable advance to the available prudential data collectedso far in Lim et al (2011) and Cerutti et al (2017a) In both studies the focus is on only identifying whetheror not the country has implemented the appropriate prudential instrument

15

for a compulsory deposit with the BCB of demand deposits of financial institutions Capital

buffer serves as a buffer against countercyclical capital whose purpose is to protect the

banking sector in periods of excessive credit growth which is associated with increased

systemic risk On the other hand in periods of credit constraint the buffering capital may

decrease and thus not affecting the performance of the real side of the economy

The interbank exposure limit is a liability limiter maintained by the banking sector as a

whole or by a particular bank By the concentration limit we mean a procedure that limits

the fraction of assets concentrated to a limited number of borrowers

Loan-to-value is a restriction to the borrower or activity It is the imposition of maximum

amounts of loans on the value of collateral or even maximum amounts of indebtedness to the

income of the borrower Finally we can interpret a reserve requirement as an instrument

whose purpose is to limit the multiplication of money in the economy through the imposition

of compulsory deposits with the Central Bank

The prudential capital buffer instrument was broken down into the following categories

general capital requirement real estate credit consumer credit and others We decompose

the reserve requirement instrument into two sub-indices local domestic currency and foreign

currency

Information on intensity and change in prudential tooling is collected as follows by the

researchers If the financial regulator tightens the instrument in question in a specific quarter

the index assumes a value of +1 On the other hand if the same instrument undergoes

relaxation or loosening the value of minus1

Finally the index receives a value of zero if there was no change in the prudential

instrument in that quarter4 According to Cerutti et al (2016) in addition to capturing the

intensity of change in such a prudential policy this type of coding incorporates qualitative

characteristics of the policy that are lost by the type of dichotomous coding (1 if implemented

and 0 otherwise) Despite the simplicity of the coding used it is imperfectly able to measure

direction in policy change Not all the instruments available on the original basis were used

4For more details on how the base was built see Cerutti et al (2016)

16

because some measures were not implemented by the BCB Examples are the capital buffer

for real estate credit the concentration limit of banks to sectors or borrowers and the limit

on interbank exposure

Moreover due to the low variability in most measures and the semi-annual structure

of the database obtained in the BCB we chose to use the cumulative indexes of variation

According to Cerutti et al (2016) the purpose of this cumulative index is to capture the

level of tightness or looseness over a given period Finally to capture an overall measure of

prudential instruments we aggregate all variations of prudential instruments into a single

aggregate instrument called cumulative prudential Table A5 attached illustrates the

change and the intensity of the prudential instruments implemented by Brazil according to

the data collected by Cerutti et al (2016)

Our empirical strategy consists in estimating the equation 16 by Maximum Likelihood in

a two-stage procedure wherein the first stage we obtain the estimates of the parameters of

the equation and in the second stage we calculate the estimates of uit using the conditional

mean estimator of Jondrow et al (1982)

After obtaining the estimates of u and RC equiv EY we use equation 20 to calculate the

estimated values of θ which are used to calculat e the Lerner Index (L) according to

equation 21

We estimated six models wif different sets of deterministic variables (prudential measures)

to control the parameter of market power (uit) In the first model we did not add any

controls In the second we include only the HHI In the third specification we include the

capital buffer and capital requirement The fourth model uses only the loan-to-value In the

fifth model we include reserve requirements in both foreign and local currency and in the

last model we include the cumulative prudential measure which is the sum of the changes

in all other prudential measures

The inclusion of prudential variables in a separated way was necessary because they

represent only the tightening or the loosening of the prudential instrument Therefore they

do not represent the change in the magnitude of the prudential instrument As such the

variables have little variability and the high correlation generated between them causes

17

severe problems in the estimation process by maximum likelihood In general the tests with

the aggregate models did not reach the convergence of likelihood function even using different

strategies for initial values or optimization algorithm and when the optimization reaches an

optimal state the estimates were inconsistent For this reason we chose to estimate simpler

models including prudential variables separately or at most two when they represented

similar measures

Besides two critical events occurred in the second half of 2008 and significantly changed

the structure and dynamics of the banking industry in Brazil The outbreak of the subprime

crisis in the US and the acquisition of Unibanco by Itau in Brazil5 Itau-Unibanco has become

the largest bank in Brazil (Itau-Unibanco) accounting for 191 of total SFN assets and

184 of the total loan portfolio in the second half of 2008

We can observe the increase in market concentration in Figure 1 which represents HHI

concentration indices for total assets and total credit portfolio The increase in concentra-

tion levels of the banking industry on the other hand also coincides temporarily with the

outbreak of the GFC and an increase in rigidity in prudential instruments after the onset of

the crisis6

These events result in a high correlation between the variables and making it more

difficult to isolate the effects of each variable on the parameter of market power In this

way we also chose to estimate an HHI-only model as the control variable of market power

(uit)

Figure 1 Evolution of the Herfindahl Index (HHI) over time using credit and total assets

for the Brazilian banking system

We summarize the description of the variables that we will use in the estimation of

5Unibanco was the sixth largest Brazilian bank in the first half of 2008 accounting for 59 of total SFNassets and 6 of the total loan portfolio Also Itau was the third largest bank with 118 of SFN and119 of the loan portfolio

6Cubillas amp Suarez (2018) find the same result as the banksrsquo market power increased shortly after theGFC

18

equation 16 and how we calculate them in Table 1 All variables included in equation 16

except for trend prudential variables an HHI are in the logarithms form

Table 1 Variables used to IDF estimatation

5 Empirical Results

We present the results of the models in Table 2 Initially focusing on the interpretation

of the parameters of the input-distance function we verified that the size of the IF credit

portfolio (lnY ) has a negative sign but it was significant only for models 1 4 and 5 This

result implies that the larger the portfolio size the lower the revenue-cost ratio of the FI

Table 2 Results of IDF estimation

The coefficients of Staff costs (lnx1) and volume of funding (lnx2) were also negative

and significant in all models Thus the higher the staff costs and the higher the funding

volume the lower the cost-to-cost ratio of the FIs The trend variable as established by

equation 23 represents the scale bias and the negative sign would indicate that technological

change would increase economies of scale over time however no estimate was significant

51 Impact of Prudential Measures on Mark-up

The evaluation of the variables that determine the mark-up parameter (u) shows that

all of them are statistically significant and positive The SFA model is not linear in these

parameters Therefore the value of the coefficients does not represent the effect of the

magnitude of changes in the variables on the mark-up (their elasticities) However we can

estimate their marginal effects We present them for each variable in Figure 2

19

Figure 2 Marginal effects of HHI and prudential instruments (Capital Buffer Capital

RequirementLTV Reserve Requirement (Foreign) Reserve Requirement (domestic) and

cumulative prud) on themark-upucomponent

The positive sign of HHI in model 2 means that the more concentrated the banking

industry is the higher the market power of FIs This result is in line with that established by

the traditional structure-conduct-performance paradigm (Schmalensee 1989) However as

can be seen in Figure 1 the increase in the concentration index coincides with the tightening

of the prudential measures stemming from the GFC In this sense we can not say whether

this is the real effect of the increase in market concentration on the market power of FIs or

whether it is affected by the tightening of prudential measures

If we focus on prudential instruments the results for capital buffers and the capital

requirement (model 3) indicate that a tightening in these variables - whose purpose is to

increase banksrsquo capital reserve during positive shocks in the economy - has a detrimental

effect on competition market since they raise the IF mark-ups This effect happens because

this prudential measure influences the smoothing of the credit supply cycle

The same results are present for the loan-to-value variable (model 4) In general this

measure sets limits on the leverage of mortgages and other securities and a tightening in

ltv is effective in controlling possible booms in the real estate market by reducing real estate

prices and ultimately reducing the excess volatility of the economy ((Zhang amp Zoli 2016

Ely et al 2019) According to the result found the higher the limits the greater the market

power of the FIs

With respect to reserve requirements both in foreign and local currency - credit limits

directly in foreign currency and domestic currency respectively - the results (model 5) also

demonstrate a detrimental effect on competition since the tightening in such measures also

implies an increase mark-up of IFs In the model 6 where we introduce the aggregate

prudential measure the result found is similar to the others that is the higher the tightness

(in general) in the prudential measures of the financial system the higher the market power

of FIs

20

Unfortunately since prudential variables represent only a measure of tightening or loos-

ening of prudential policy and not its magnitude we can not accurately assess the impact

of these variables on the mark-up The marginal effects represented in Figure 2 give us only

an idea of how such variables affected the estimated mark-ups

However in general we can say that the positive signs of the estimates mean that the

higher the tightness in these prudential policies the greater the mark-up and consequently

the higher the market power of the FIs Therefore we find a perverse effect on industry

competition and probably a loss of borrowers welfare

Our results are in accordance with the evidence that the increase in prudential rigor has

negative impacts mainly on the supply of credit (Lim et al 2011 Claessens 2015 Aiyar

et al 2014 Gropp et al 2018 Cerutti et al 2017a) Ceteris paribus the increase of IF

mark-ups would be a fully expected effect As highlighted by Claessens amp Laeven (2004) any

policy that restricts the activity of banks and hinders their operation has negative impacts

on market competition

52 Estimation of Lerner indices

Regarding the mark-up estimation the values reported at the bottom of Table 2 corre-

spond to the distance between the observed revenue-cost ratio and its competitive boundary

that is the component u

To interpret the mark-up however we will focus the discussion on the estimates of

Lerner index (equation 21) because they have a more unambiguous economic meaning We

summarize the results of Lerner index for general estimates by type of control and for each

model in Table 3 and the Figure 3 shows their frequency distributions We should emphasize

that these estimates are individuals that is we obtain the estimates for each IF and at each

period t The tables in Annex (A6 to A11) summarizes the estimates of the Lerner index

and the returns to scale for each IF in the sample

Table 3 Estimates of Lerner index general and by type of control

21

Figure 3 Frequency distribution of Lerner indexes for each model and density estimation

Kernel by typeof control

For all six models all mark-up estimates were within the theoretical range of 0 and 1

with the minimum value being 0009 (model 2) and the maximum value 0362 (model 3) In

general the estimated average value was between 0051 (model 2) and 0058 (models 1 and

5) which means that on average Brazilian banks have a mark-up between 51 and 58

These values are slightly different when we separate the estimates by type of control

In the case of state-owned banks the average mark-up was between 0047 (model 2)

and 0057 (model 1) These values are lower in all the estimated models to the values

of (privates) national banks (0052-0057) and foreign banks (0050-0061) However the

medians of estimated values for state-owned banks were higher than the national and foreign

private banks in all models

For comparison purposes these values are considerably lower than the value (016) esti-

mated for Brazil in Coccorese (2014) We believe that this difference is due to the model and

sample used Coccorese (2014) has estimated the dual version of model (equation 5) and

as highlighted by Kumbhakar et al (2012) the use of accounting information to calculate

input prices can generate problems when they are endogenous

Regarding the sample Coccorese (2014) also used a different period from ours (1994 to

2012) and a more significant number of IFs in the sample (189 against 83 used by us) The

main difference here is in the number of IF - 106 in total In this respect it is essential to

note that these FIs constitute small FIs and in the second half of 2014 they held only 37

of total SFN assets and 24 of the total credit portfolio

We tried to replicated the Coccoresersquo sample but in preliminary tests we have found great

difficulties in the models estimations in particular at convergence of likelihood function

We observed these small IFs had in several situations extremely high values for the revenue-

cost ratio or excessively low for the inputs used (personnel expenses and funding) as well

as other problems such as launch errors (positive values in variables of expenditure for

example) and missings For these reasons and considering that such IFs represented only a

22

small fraction of Brazilian credit market we decided to exclude them from the sample

However It is worth highlight as they are small FIs the vast majority operate in particular

segments of the credit market and probably assume a more risk-taking behavior Considering

that they will work with a segment of credit claimants with rdquoworse scoresrdquo than borrowers

using large FIs we expect that the mark-up of these IFs will be higher We can observe

(part of) this phenomenon in Figure 4 where we represent the estimates of the Lerner index

(vertical axis) against market share of total assets (horizontal axis) of our sample and it is

quite evident the smaller banks have the higher mark-ups Therefore as our sample exclude

a large proportion of these small IFs it is natural that Coccorese (2014)rsquo results larger than

ours

Figure 4 Lerner indexes according to the size (market share) of banksrsquo assets

Regardless of this our results seem to adhere well to reality because if we look at Figure

5 we note that the Lerner indices show a significant increase from the second semester of

2008 These results are in agreement with the results of Cubillas amp Suarez (2018) Besides

in Figure 6 Lerner indexes are separated by type of control and we can observe that with

some exceptions the market power has always been lower for state-owned banks especially

considering the period after the GFC

Figure 5 Average Lerner indices for each model between 2000q2 and 2014q4

Figure 6 Average Lerner indices estimated for public private national and private

foreign banks between2000q2 and 2014q4

23

53 Estimation of Returns to Scale

Finally Table 4 and Figure 7 summarize the estimates of returns to scale We highlight

that the average of the returns to the scale of the Brazilian FIs is very close if we comparer

the six estimated models (between 0848 and 0851) Although the values are close to unity

in all IFs we reject the hypotheses of constant returns to the scale that is RTS = 1 therefore

IFs have diseconomies of scale

Table 4 Estimates of returns to scale by control type and general

When we separate estimates by type of control the estimates of state-owned banks

(0937-0944) are higher than national (0824-0829) and foreign banks (0841-0844) This

result means that the scale problem is a problem common to all FIs in Brazil Moreover

state-owned banks runs closer to the constant return region than national and foreign banks

Figure 7 Frequency distribution of the returns to scale indexes for each model and

density estimationKernel by type of control

6 Final Considerations

Considering that the banking industry underwent a significant restructuring in recent

years caused by several mergers and acquisitions in the sector as well as by a severe financial

crisis started in mid 2007 and potentialized in 2008 understand the behavior of market

power and as a (partial) set of prudential instruments influencing this dynamic has become

paramount Thus in an innovative way this paper proposed the use of stochastic frontier

analysis techniques to measure market power for the Brazilian banking industry and to test

if such prudential measures had an impact on the competitive dynamics of sector

The estimated average Lerner index was between 51 and 58 for Brazilian FIs How-

ever when controlled by the type of control we find that state-owned banks have slightly

24

lower estimates than national and foreign banks respectively Also estimates of returns to

scale allow us to infer that FIs operate with diseconomies of scale

Concerning the impact of prudential measures on the market power of FIs our results

generally suggest that tightening of prudential measures have a positive impact on bank

mark-up and consequently have detrimental effects on competition in industry banking

Finally in future research it will be possible to better understand the influence of some

prudential measures in the banking market through the study by type of segment or line of

credit

25

References

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idence from a uk policy experiment Journal of Money Credit and Banking 46 181ndash214

URL httpsonlinelibrarywileycomdoiabs101111jmcb12086 doi101111jmcb12086

arXivhttpsonlinelibrarywileycomdoipdf101111jmcb12086

Altunbas Y Binici M amp Gambacorta L (2018) Macroprudential policy and bank risk Journal of

International Money and Finance 81 203ndash220 doihttpsdoiorg101016jjimonfin201711

012

Araujo L A D d amp Jorge Neto P d M (2007) Risco e competicao bancaria no Brasil Revista Brasileira

de Economia 61 175ndash200 URL httpwwwscielobrscielophpscript=sci_abstractamppid=

S0034-71402007000200003amplng=enampnrm=isoamptlng=pt doi101590S0034-71402007000200003

Auer R amp Ongena S (2019) The countercyclical capital buffer and the composition of bank lending

Available at SSRN 3345189

Ayyagari M Beck T amp Peria M (2018) The micro impact of macroprudential policies Firm-level

evidence IMF Working Paper

Barbosa K de Paula Rocha B amp Salazar F (2015) Assessing competition in the banking indus-

try A multi-product approach Journal of Banking amp Finance 50 340ndash362 URL httpwww

sciencedirectcomsciencearticlepiiS0378426614001642 doi101016jjbankfin201405

003

Belaisch A (2003) Do Brazilian Banks Compete SSRN Scholarly Paper ID 879189 Social Science Research

Network Rochester NY URL httpspapersssrncomabstract=879189

Bikker J A Shaffer S amp Spierdijk L K (2012) Assessing competition with the panzar-rosse model

The role of scale costs and equilibrium Economics Letters 94 1025ndash1044

Bresnahan T F (1982) The oligopoly solution concept is identified Economics Letters 10 87ndash92 URL

httpdxdoiorg1010160165-1765(82)90121-5 doi1010160165-1765(82)90121-5

Bresnahan T F amp Reiss P (1991) Entry and competition in concentrated markets Journal of Political

Economy 99 977ndash1009

Camors C amp Peydro J (2014) Macroprudential and monetary policy Loan-level evidence from reserve

requirement Mimeo Universitat Pompeu Fabra URL httpspdfssemanticscholarorgd508

61639bb4e7453a7a39184edf9b0c1e7016a6pdf

Cardoso M Azevedo P F amp Barbosa K (2016) Concorrencia no setor bancario brasileiro bancos

individuais versus conglomerados bancarios (pp 113ndash146) URL httprepositorioipeagovbr

handle110586650

Cerutti E Claessens S amp Laeven L (2017a) The use and effectiveness of macroprudential policies New

26

evidence Journal of Financial Stability 28 203ndash224 doihttpsdoiorg101016jjfs201510

004

Cerutti E Correa R Fiorentino E amp Segalla E (2016) Changes in prudential policy instruments ndash a

new cross-country database IMF Working Paper WP1610

Cerutti E Dagher J amp DellrsquoAriccia G (2017b) Housing finance and real-estate booms A cross-country

perspective Journal of Housing Economics 38 1ndash13

Claessens S (2015) An overview of macroprudential policy tools Annual Re-

view of Financial Economics 7 397ndash422 URL httpsdoiorg101146

annurev-financial-111914-041807 doi101146annurev-financial-111914-041807

arXivhttpsdoiorg101146annurev-financial-111914-041807

Claessens S Ghosh S R amp Mihet R (2013) Macro-prudential policies to mitigate financial system

vulnerabilities Journal of International Money and Finance 39 153ndash185 doihttpsdoiorg10

1016jjimonfin201306023

Claessens S amp Laeven L (2004) What drives bank competition some international evidence Journal

of Money Credit and Banking 36 563ndash583 URL httpwwwjstororgstable3838954

Coccorese P (2014) Estimating the Lerner index for the banking industry a stochastic frontier approach

Applied Financial Economics 24 73ndash88 URL httpdxdoiorg101080096031072013866202

doi101080096031072013866202

Coelho C A De Mello J M amp Rezende L (2013) Do Public Banks Compete with Private

Banks Evidence from Concentrated Local Markets in Brazil Journal of Money Credit and Bank-

ing 45 1581ndash1615 URL httponlinelibrarywileycomdoi101111jmcb12063abstract

doi101111jmcb12063

Cubillas E amp Suarez N (2018) Bank market power and lending during the global financial crisis Jour-

nal of International Money and Finance 89 1ndash22 URL httpwwwsciencedirectcomscience

articlepiiS0261560618303048 doihttpsdoiorg101016jjimonfin201808003

Das A amp Kumbhakar S C (2016) Markup and efficiency of Indian banks an input distance func-

tion approach Empirical Economics (pp 1ndash31) URL httplinkspringercomarticle101007

s00181-015-1062-4 doi101007s00181-015-1062-4

Ely R Tabak B amp Teixeira A (2019) Heterogeneous effects of the implementation of macroprudential

policies on bank risk MPRA Paper No94546

Freixas X Laeven L amp Peydro J-L (2015) Systemic Risk Crises and Macroprudential Regulation

Mit Press URL httpwwwjstororgstablejctt17kk82g

Galati G amp Moessner R (2013) Macroprudential policy ndash a literature review Jour-

nal of Economic Surveys 27 846ndash878 URL httpsonlinelibrarywileycom

27

doiabs101111j1467-6419201200729x doi101111j1467-6419201200729x

arXivhttpsonlinelibrarywileycomdoipdf101111j1467-6419201200729x

Gropp R Mosk T Ongena S amp Wix C (2018) Banks Response to Higher Cap-

ital Requirements Evidence from a Quasi-Natural Experiment The Review of Finan-

cial Studies 32 266ndash299 URL httpsdoiorg101093rfshhy052 doi101093rfshhy052

arXivhttpoupprodsislanrfsarticle-pdf32126627185080hhy052pdf

Hyde C E amp Perloff J M (1995) Can market power be estimated Review of Industrial Organization 10

465ndash485 URL httplinkspringercomarticle101007BF01024231 doi101007BF01024231

Igan D amp Kang H (2011) Do loan-to-value and debt-to-income limits work evidence from korea IMF

Working Papers (pp 1ndash34)

Jimenez G Ongena S Peydro J-L amp Saurina J (2017) Macroprudential policy countercyclical bank

capital buffers and credit supply Evidence from the spanish dynamic provisioning experiments Journal

of Political Economy 125 2126ndash2177 URL httpsdoiorg101086694289 doi101086694289

arXivhttpsdoiorg101086694289

Jondrow J Knox Lovell C A Materov I S amp Schmidt P (1982) On the estimation of technical

inefficiency in the stochastic frontier production function model Journal of Econometrics 19 233ndash

238 URL httpwwwsciencedirectcomsciencearticlepii0304407682900045 doi101016

0304-4076(82)90004-5

Klingelhoger J amp Sun R (2019) Macruprudential policy central banks and financial stability Evidence

from china Journal of International Money and Finance 93 19ndash41 URL httpsdoiorg101016

jjimonfin201812015

Kumbhakar S C (2012) Specification and estimation of primal production models European Journal

of Operational Research 217 509ndash518 URL httpwwwsciencedirectcomsciencearticlepii

S0377221711008939 doi101016jejor201109043

Kumbhakar S C Baardsen S amp Lien G (2012) A New Method for Estimating Market Power with

an Application to Norwegian Sawmilling Review of Industrial Organization 40 109ndash129 URL http

linkspringercomarticle101007s11151-012-9339-7 doi101007s11151-012-9339-7

Lerner A P (1934) The Concept of Monopoly and the Measurement of Monopoly Power The Review

of Economic Studies 1 157ndash175 URL httprestudoxfordjournalsorglookupdoi102307

2967480 doi1023072967480

Lim C H Costa A Columba F Kongsamut P Otani A Saiyid M Wezel T amp Wu X (2011)

Macroprudential policy what instruments and how to use them lessons from country experiences IMF

working papers (pp 1ndash85)

Lopez R A He X amp Azzam A (2018) Stochastic frontier estimation of market

28

power in the food industries Journal of Agricultural Economics 69 3ndash17 URL https

onlinelibrarywileycomdoiabs1011111477-955212219 doi1011111477-955212219

arXivhttpsonlinelibrarywileycomdoipdf1011111477-955212219

Lucinda C R (2010) Competition in the Brazilian loan market an empirical analysis Estudos Economicos

(Sao Paulo) 40 831ndash858 URL httpwwwscielobrscielophpscript=sci_abstractamppid=

S0101-41612010000400004amplng=enampnrm=isoamptlng=en doi101590S0101-41612010000400004

Moreno R (2011) Policymaking from arsquomacroprudentialrsquoperspective in emerging market economies

Nakane M I (2002) A test of competition in brazilian banking Estudos Economicos (Sao Paulo) 32

203ndash224 URL httpwwwrevistasuspbreearticleview117799

Panzar J C amp Rosse J N (1987) Testing for rdquomonopolyrdquo equilibrium The Journal of Industrial

Economics 35 443ndash456 URL httpwwwjstororgstable2098582 doi1023072098582

Richter B Schularick M amp Shim I (2019) The costs of macroprudential policy Journal of Inter-

national Economics 118 263 ndash 282 URL httpwwwsciencedirectcomsciencearticlepii

S0022199618302617 doihttpsdoiorg101016jjinteco201811011

Schmalensee R (1989) Chapter 16 inter-industry studies of structure and performance In Hand-

book of Industrial Organization (pp 951ndash1009) Elsevier BV URL httpdxdoiorg101016

s1573-448x(89)02004-2 doi101016s1573-448x(89)02004-2

Silva M S d () Avaliacao do processo de concentracao-competicao no setor bancario brasileiro URL

httpwwwbcbgovbrpecwpsporttd377pdf

Tabak B amp Gomes G (2015) The impact of market power at bank level in risk-taking The brazilian

case International Review of Financial Analysis 40 154ndash165

Tabak B M Fazio D M amp Cajueiro D O (2012) The relationship between banking market competition

and risk-taking Do size and capitalization matter 36 3366ndash3381 URL httpwwwsciencedirect

comsciencearticlepiiS0378426612002026 doi101016jjbankfin201207022

Wong T Fong T Li K-f amp Choi H (2011) Loan-to-value ratio as a macroprudential tool-hong kongrsquos

experience and cross-country evidence

Zhang L amp Zoli E (2016) Leaning against the wind Macroprudential policy in asia Journal of Asian

Economics 42 33ndash52

29

Figure 1 Evolution of the Herfindahl Index (HHI) over time using credit and total assets for theBrazilian banking system

30

Figure 2 Marginal effects of HHI and prudential instruments (Capital Buffer Capital RequirementLTV Reserve Requirement (Foreign) Reserve Requirement (domestic) and cumulative prud) on the

mark-up u component

31

Figure 3 Frequency distribution of Lerner indexes for each model and density estimation Kernel by typeof control

32

Figure 4 Lerner indexes according to the size (market share) of banksrsquo assets

33

Figure 5 Average Lerner indices for each model between 2000q2 and 2014q4

34

Figure 6 Average Lerner indices estimated for public private national and private foreign banks between2000q2 and 2014q4

35

Figure 7 Frequency distribution of the returns to scale indexes for each model and density estimationKernel by type of control

36

Table 1 Variables used to IDF estimatation

Variabel Description SourceBasic variables

TR Total Revenue = Gross Insterest Income (a) + Bank-ing Service Fee Income (d1) + Banking Fee Income(d2) + Other Operating Income (d7)

Inc statIFData

TC Total Cost = Interest Expenses (b) + Personnel Ex-penses (d3) + Administrative Expenses (d4) + TaxExpenses (d5) + Other Operating Expenses (d8)

Inc statIFData

Y Loan Lease and Other Credit Operations by RiskLevel

SummaryIFData

x1 Personnel Expenses (d3) Inc statIFDatax2 Funding (e) LiabilitiesIFDatax3 Equity (j) LiabilitiesIFData

Model variabelslnRC Log of Revenue-Cost ratiolnY Log of total loanlnx1 Log of personnel expenses and equity ratio (x1x3)lnx2 Log of funding and equity ratio (x2x3)T Time

Prudential variables - Deterministic mark-up parametersHHIt HHIt =

sumS2it where Sit

2 is market share of totalasset of bank i on time t

Inc statIFData

cb cumulative change of capital buffer Cerutti et al (2016)cr cumulative change of capital requirement Cerutti et al (2016)ltv cumulative change of loan-to-value Cerutti et al (2016)

rr foreign cumulative change of reserve requirement (foreigncurrency)

Cerutti et al (2016)

rr local cumulative change of reserve requirement (domesticcurrency)

Cerutti et al (2016)

37

Table 2 Results of IDF estimation

Parameters VariablesEstimates

Model Model Model Model Model Model(1) (2) (3) (4) (5) (6)

Parametros da funcao insumo distanciaαY Y lnY -0013 -0003 -0004 -0012 -0011 -0005

(000) (000) (000) (000) (000) (000)α1Y lnx1 -0096 -0095 -0094 -0094 -0096 -0090

(001) (001) (001) (001) (001) (001)α2Y lnx2 -0019 -0022 -0022 -0019 -0020 -0021

(001) (001) (001) (001) (001) (001)αY T T -0000 -0000 -0000 -0000 -0000 -0000

(000) (000) (000) (000) (000) (000)αY const 1153 1010 1035 1134 1129 1057

(005) (007) (005) (005) (005) (006)

Deterministic Mark-up parametersδ1 HHI 764157

(12270)δ1 Capital

Buffer7586(065)

δ2 CapitalReq

4696(160)

δ1 Loan-to-value38511(671)

δ1 ResR(foreign)10730(433)

δ2 ResR(local)2869(126)

δ1 Cum Prud3237(020)

δ0 const minus10601minus10194minus5306 minus9866 minus8577 minus4993(032) (2064) (316) (079) (119) (122)

Distribution of u and vσ2u 2840 1418 1620 2643 2441 1593σ2v 0118 0121 0120 0118 0118 0120λ 2402 1172 1354 2233 2065 1325Log Lik 887404 922033 918606 896019 891991 907817

EstimatesEstimates of Mark-up (u)Avg 0075 0065 0068 0074 0075 00691st quartile 0052 0038 0051 0051 0051 0044Median 0062 0048 0060 0060 0061 00543st quartile 0080 0074 0079 0079 0079 0075std-dev 0053 0054 0053 0053 0054 0054

Note p lt 010 p lt 005 and p lt 001

38

Table 3 Estimates of Lerner index general and by type of control

EstimatesModel Model Model Model Model Model

(1) (2) (3) (4) (5) (6)Mark-up (L) generalAverage 0058 0051 0053 0057 0058 0053std-dev 0032 0034 0034 0032 0032 00331st quartile 0043 0031 0034 0041 0042 0036Median 0051 0039 0044 0050 0050 00453st quartile 0063 0060 0059 0063 0063 0060Mark-up (L) State-owned banksAverage 0057 0047 0049 0056 0056 0050std-dev 0018 0017 0017 0018 0016 00161st quartile 0047 0035 0038 0045 0046 0040Median 0054 0041 0046 0053 0053 00463st quartile 0064 0056 0056 0064 0063 0057Mark-up (L) National banksAverage 0057 0052 0054 0057 0057 0054std-dev 0034 0038 0038 0035 0035 00371st quartile 0041 0030 0033 0040 0041 0035Median 0050 0038 0043 0048 0049 00443st quartile 0061 0061 0060 0061 0062 0060Mark-up (L) Foreign banksAverage 0061 0050 0053 0059 0060 0054std-dev 0034 0033 0032 0034 0034 00321st quartile 0042 0031 0034 0041 0042 0036Median 0052 0040 0044 0051 0051 00453st quartile 0068 0059 0060 0066 0066 0061

Table 4 Estimates of returns to scale by control type and general

ModelState-owned

banksNational

banksForeignbanks

General std-dev Min Max

1 0944 0824 0842 0848 0073 0665 11242 0940 0829 0843 0851 0066 0690 10733 0938 0827 0842 0849 0066 0689 10764 0941 0824 0842 0848 0071 0671 11115 0942 0824 0841 0848 0072 0669 11136 0937 0829 0844 0850 0065 0692 1073

39

Appendix A Attachment Tables

Table A5 Cumulative change on Prudential Measures intensity

TimeCapitalBuffer 2

(cb)

CapitalReq(cr)

Loan-to-Value(ltv)

Reserve Reqlocal curr

(RR local)

Reserve Reqforeign cur

(RR foreign)

CumulativePrudential 3

(Cum Prud)2000q2 -1 0 0 0 -2 -32000q4 -1 0 0 0 -2 -32001q2 -1 0 0 0 -2 -32001q4 0 0 0 0 -1 -12002q2 0 0 0 0 0 02002q4 2 0 0 0 2 42003q2 0 0 0 0 3 32003q4 0 0 0 0 2 22004q2 0 0 0 0 2 22004q4 0 0 0 0 2 22005q2 0 0 0 0 2 22005q4 0 0 0 0 2 22006q2 0 0 0 0 2 22006q4 0 0 0 0 2 22007q2 2 0 0 0 2 42007q4 2 0 0 0 2 42008q2 2 0 0 0 2 42008q4 2 0 0 0 1 32009q2 2 0 0 0 0 22009q4 2 0 0 0 -1 12010q2 2 0 0 0 1 32010q4 3 0 0 0 3 62011q2 3 0 0 1 3 72011q4 4 0 0 2 3 92012q2 3 1 0 2 3 92012q4 3 1 0 1 2 72013q2 3 2 0 0 2 72013q4 3 2 1 0 2 82014q2 3 2 1 0 2 82014q4 2 2 1 0 3 82Sum of capital buffer and others 3Aggregate measure (It is the sum of the change of all other instrument)

40

Table A6 Estimates of Lerner index and return to scale by bank - Model (1)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0042 0082 0009 0940 0007 -85Banrisul S 0055 0041 0084 0009 0952 0008 -635BEC S 0048 0021 0077 0016 0844 0009 -1756BRB S 0058 0033 0100 0015 0961 0003 -1533BB S 0058 0039 0098 0012 0990 0006 -173Caixa Economica Federal S 0063 0051 0174 0022 1052 0004 1458B da Amazonia SA S 0057 0016 0124 0023 0844 0008 -2028B do Estado Do Para SA S 0061 0026 0110 0022 0936 0004 -1764B do Est do Maranhao SA S 0055 0046 0065 0006 0935 0014 -455B do Est do Piauı SA - Bep S 0057 0030 0155 0029 0862 0004 -326B do Estado De Sergipe SA S 0061 0024 0135 0022 0947 0004 -1453Nossa Caixa - N Banco SA S 0057 0036 0090 0013 0981 0004 -444Bradesco N 0056 0038 0114 0015 0925 0004 -1945Itau N 0059 0031 0220 0033 0901 0003 -3797Safra N 0053 0037 0085 0009 0885 0003 -4215Unibanco N 0055 0037 0088 0014 0897 0001 -7054Mercantil Do Brasil N 0057 0027 0077 0011 0945 0002 -2527BBM N 0076 0016 0300 0065 0783 0005 -4464BMC N 0052 0030 0079 0012 0845 0003 -4703BMG N 0065 0017 0208 0045 0779 0003 -729JMalucelli N 0047 0022 0069 0013 0718 0003 -8765PEBB N 0065 0017 0181 0047 0698 0008 -3914SS N 0057 0034 0220 0037 0799 0007 -2839Sofisa N 0054 0021 0092 0020 0804 0002 -9903BIC N 0060 0034 0236 0040 0855 0005 -276Schahin N 0056 0028 0214 0035 0835 0006 -262Stock N 0081 0020 0267 0067 0817 0006 -3107Pine N 0052 0022 0108 0019 0808 0004 -545Socopa N 0056 0027 0120 0017 0886 0003 -3806Intercap N 0060 0023 0212 0037 0812 0007 -2851Indusval N 0062 0030 0246 0043 0857 0005 -3139Bonsucesso N 0052 0020 0092 0018 0779 0005 -4033Industrial do Brasil N 0051 0031 0081 0016 0807 0002 -952Votorantim N 0052 0037 0107 0017 0819 0009 -2117Cacique N 0053 0024 0071 0014 0774 0005 -4621Inter Amex N 0055 0037 0068 0010 0837 0008 -2158Alfa N 0048 0041 0059 0005 0806 0002 -11303Rendimento N 0053 0022 0080 0012 0872 0008 -1562Bancoob N 0052 0046 0056 0003 0856 0003 -5061Original N 0085 0017 0279 0090 0729 0007 -4163Banco Intermedium SA N 0052 0028 0070 0015 0743 0006 -3973

Table A6 ndash Continue on next page

41

Table A6 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0225 0049 0761 0003 -7509Banco BBN SA N 0053 0027 0077 0014 0817 0012 -1509B Cooperativo Sicredi SA N 0052 0043 0062 0005 0875 0005 -2477B Cooperativo do Brasil SA N 0056 0046 0142 0020 0910 0006 -1479Banco Topazio SA N 0060 0035 0110 0027 0834 0006 -2966Banco Gerador SA N 0069 0045 0122 0028 0852 0008 -1968Banco Randon SA N 0109 0023 0320 0109 0783 0005 -4158Parana Banco SA N 0050 0026 0108 0020 0784 0008 -2799Banco Triangulo SA N 0055 0028 0091 0020 0833 0004 -4201Banco Guanabara SA N 0052 0024 0169 0025 0777 0004 -5588Banco Cedula SA N 0068 0012 0339 0061 0731 0003 -10236Banco Cacique SA N 0077 0028 0248 0077 0785 0016 -1309B Luso Brasileiro SA N 0065 0027 0208 0043 0849 0004 -349Banco Pecunia SA N 0047 0039 0060 0006 0770 0003 -7086Banco Zogbi SA N 0051 0038 0067 0011 0778 0001 -15193Banco Daycoval SA N 0054 0023 0131 0026 0783 0004 -5522B John Deere SA N 0059 0018 0133 0033 0756 0003 -7955Banco AJ Renner SA N 0053 0025 0081 0015 0827 0006 -2742ABN Amro F 0056 0039 0079 0014 0914 0002 -427Chase F 0068 0014 0228 0049 0790 0008 -2678LLoyds F 0053 0027 0064 0012 0825 0003 -5159BankBoston F 0057 0040 0099 0020 0902 0006 -1638Santander Brasil F 0057 0034 0097 0017 0890 0008 -146Citibank F 0059 0026 0153 0028 0875 0003 -4039BNL F 0055 0041 0097 0019 0840 0006 -2767Sudameris F 0056 0048 0065 0005 0966 0012 -297Societe Generale F 0060 0024 0153 0031 0826 0006 -299Europeu F 0054 0032 0073 0013 0848 0007 -2287ABC-Brasil F 0052 0025 0082 0014 0815 0003 -6207Dresdner F 0083 0017 0280 0074 0815 0006 -3234AGF Braseg F 0051 0031 0100 0016 0794 0004 -4923HSBC F 0057 0046 0092 0010 0971 0006 -466Deutsche F 0068 0013 0160 0036 0857 0004 -3335BNP Paribas F 0050 0037 0068 0007 0824 0005 -3665Barclays F 0052 0024 0089 0021 0771 0008 -2787Rabobank Int Brasil SA F 0058 0022 0166 0028 0842 0003 -5284B Nat de Paris Br SA F 0063 0023 0109 0033 0811 0006 -3331Ibibank SA - Banco Multiplo F 0059 0012 0106 0024 0781 0015 -1441Dresdner Bank - B Multiplo F 0086 0016 0244 0068 0768 0008 -2746Banco Westlb Do Brasil SA F 0064 0034 0108 0027 0839 0010 -1626Banco GE Capital SA F 0067 0032 0247 0047 0852 0010 -1527B Com Uruguai SA F 0072 0020 0192 0049 0830 0003 -52281S - State-owned bank N - National bank and F - Foreign bank

42

Table A7 Estimates of Lerner index and return to scale by bank - Model (2)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0049 0032 0085 0016 0944 0008 -716Banrisul S 0049 0032 0106 0017 0939 0008 -75BEC S 0032 0016 0046 0008 0860 0009 -1489BRB S 0049 0030 0112 0017 0961 0002 -1681BB S 0049 0032 0091 0016 0948 0006 -845Caixa Economica Federal S 0052 0034 0081 0014 1012 0003 382B da Amazonia SA S 0053 0015 0140 0028 0847 0008 -1922B do Estado Do Para SA S 0046 0029 0063 0009 0952 0005 -963B do Est do Maranhao SA S 0036 0029 0045 0005 0963 0016 -235B do Est do Piauı SA - Bep S 0036 0023 0071 0011 0888 0005 -2314B do Estado De Sergipe SA S 0050 0020 0155 0024 0962 0004 -1043Nossa Caixa - N Banco SA S 0039 0027 0074 0011 0972 0005 -601Bradesco N 0050 0028 0116 0023 0890 0004 -2618Itau N 0052 0024 0222 0037 0869 0003 -4269Safra N 0046 0028 0100 0017 0867 0003 -5042Unibanco N 0035 0028 0054 0007 0873 0001 -8511Mercantil Do Brasil N 0051 0029 0093 0019 0941 0002 -2837BBM N 0063 0012 0213 0048 0790 0005 -4494BMC N 0034 0023 0049 0007 0851 0003 -4266BMG N 0065 0015 0233 0057 0776 0004 -6135JMalucelli N 0052 0018 0080 0016 0720 0003 -9566PEBB N 0037 0014 0108 0025 0732 0009 -3086SS N 0056 0024 0236 0046 0797 0007 -2849Sofisa N 0052 0018 0107 0028 0808 0002 -8115BIC N 0057 0026 0259 0050 0850 0006 -2531Schahin N 0047 0022 0225 0041 0845 0007 -2359Stock N 0078 0017 0287 0071 0843 0006 -2782Pine N 0048 0018 0114 0023 0811 0004 -4973Socopa N 0050 0022 0136 0024 0908 0003 -3089Intercap N 0051 0019 0133 0031 0832 0006 -2759Indusval N 0061 0023 0267 0052 0866 0006 -2437Bonsucesso N 0050 0017 0109 0026 0791 0006 -3655Industrial do Brasil N 0044 0024 0079 0015 0816 0002 -8095Votorantim N 0048 0025 0120 0026 0807 0007 -2721Cacique N 0033 0020 0039 0006 0782 0005 -4597Inter Amex N 0035 0025 0045 0007 0844 0006 -2419Alfa N 0042 0029 0069 0013 0801 0002 -12139Rendimento N 0049 0019 0077 0015 0889 0008 -1394Bancoob N 0065 0057 0073 0006 0855 0003 -4199Original N 0099 0019 0299 0096 0732 0006 -4473Banco Intermedium SA N 0062 0032 0081 0019 0754 0006 -4393

Table A7 ndash Continue on next page

43

Table A7 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0059 0016 0239 0051 0778 0003 -6944Banco BBN SA N 0035 0020 0053 0009 0834 0011 -1466B Cooperativo Sicredi SA N 0045 0032 0070 0011 0881 0005 -2581B Cooperativo do Brasil SA N 0045 0029 0147 0025 0922 0006 -1274Banco Topazio SA N 0076 0043 0138 0038 0861 0005 -2569Banco Gerador SA N 0089 0054 0153 0037 0874 0008 -1645Banco Randon SA N 0122 0029 0335 0113 0803 0005 -388Parana Banco SA N 0033 0020 0062 0011 0800 0009 -234Banco Triangulo SA N 0052 0022 0105 0027 0841 0004 -4148Banco Guanabara SA N 0046 0019 0091 0020 0793 0004 -5561Banco Cedula SA N 0062 0011 0359 0067 0749 0003 -9911Banco Cacique SA N 0049 0020 0157 0048 0791 0016 -1315Banco Luso Brasileiro SA N 0066 0022 0241 0055 0870 0005 -2851Banco Pecunia SA N 0032 0027 0036 0003 0787 0003 -6876Banco Zogbi SA N 0032 0026 0037 0005 0784 0002 -13006Banco Daycoval SA N 0053 0019 0139 0036 0784 0004 -6065Banco John Deere SA N 0035 0016 0073 0016 0761 0003 -8278Banco AJ Renner SA N 0047 0021 0083 0015 0844 0006 -2553ABN Amro F 0035 0027 0047 0006 0889 0002 -7231Chase F 0054 0013 0157 0033 0804 0007 -2702LLoyds F 0033 0020 0043 0008 0821 0003 -5429BankBoston F 0036 0026 0060 0011 0888 0006 -1917Santander Brasil F 0055 0025 0115 0030 0864 0008 -1647Citibank F 0051 0020 0132 0025 0860 0003 -4735BNL F 0036 0026 0062 0012 0843 0005 -2959Sudameris F 0036 0031 0040 0004 0949 0011 -468Societe Generale F 0051 0018 0104 0024 0835 0007 -2454Europeu F 0034 0025 0041 0006 0859 0007 -2076ABC-Brasil F 0043 0026 0086 0015 0813 0003 -5797Dresdner F 0050 0014 0190 0046 0824 0004 -3975AGF Braseg F 0044 0024 0068 0014 0810 0005 -4109HSBC F 0052 0031 0110 0021 0948 0007 -776Deutsche F 0054 0012 0166 0030 0866 0005 -2754BNP Paribas F 0049 0028 0073 0013 0818 0004 -4092Barclays F 0065 0028 0121 0027 0811 0005 -4028Rabobank Int Brasil SA F 0047 0017 0102 0017 0845 0003 -4605B Nat de Paris Brasil SA F 0036 0017 0054 0013 0819 0005 -3304Ibibank SA - Banco Multiplo F 0043 0010 0114 0025 0782 0013 -1623Dresdner Bank - B Multiplo F 0096 0015 0270 0076 0785 0007 -2924Banco Westlb Do Brasil SA F 0041 0026 0062 0013 0853 0010 -154Banco GE Capital SA F 0054 0026 0253 0049 0862 0010 -1444B Com Uruguai SA F 0070 0017 0220 0058 0849 0003 -4471S - State-owned bank N - National bank and F - Foreign bank

44

Table A8 Estimates of Lerner index and return to scale by bank - Model (3)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0034 0090 0016 0941 0008 -772Banrisul S 0051 0032 0108 0016 0938 0008 -772BEC S 0035 0018 0051 0009 0856 0009 -1562BRB S 0052 0032 0122 0018 0958 0002 -1793BB S 0052 0035 0085 0015 0951 0006 -809Caixa Economica Federal S 0054 0039 0098 0014 1015 0003 465B da Amazonia SA S 0053 0014 0113 0024 0845 0008 -1977B do Estado Do Para SA S 0049 0028 0071 0010 0947 0005 -1117B do E do Maranhao SA S 0041 0032 0059 0008 0957 0015 -285B do E do Piauı SA - Bep S 0041 0028 0086 0014 0882 0005 -2518B do Estado De Sergipe SA S 0052 0021 0145 0022 0957 0004 -1182Nossa Caixa - N Banco SA S 0045 0029 0081 0015 0971 0005 -651Bradesco N 0052 0029 0101 0021 0893 0004 -2614Itau N 0054 0025 0203 0034 0872 0003 -4328Safra N 0048 0029 0093 0015 0869 0003 -5008Unibanco N 0041 0028 0067 0010 0874 0001 -8514Mercantil Do Brasil N 0053 0026 0095 0018 0939 0002 -29BBM N 0067 0013 0250 0056 0789 0005 -4501BMC N 0038 0024 0069 0010 0849 0003 -4408BMG N 0067 0015 0233 0058 0776 0004 -6374JMalucelli N 0052 0022 0087 0016 0720 0003 -9426PEBB N 0045 0014 0158 0040 0727 0009 -3192SS N 0057 0025 0231 0046 0797 0007 -287Sofisa N 0053 0018 0116 0026 0807 0002 -8444BIC N 0059 0030 0250 0049 0850 0006 -2596Schahin N 0048 0023 0220 0038 0842 0007 -2424Stock N 0083 0017 0304 0077 0838 0006 -2873Pine N 0049 0019 0105 0020 0810 0004 -5103Socopa N 0050 0026 0111 0018 0903 0003 -3253Intercap N 0055 0020 0196 0036 0828 0006 -283Indusval N 0062 0029 0282 0052 0863 0005 -2588Bonsucesso N 0051 0017 0118 0025 0789 0006 -3771Industrial do Brasil N 0046 0025 0086 0015 0815 0002 -8341Votorantim N 0050 0027 0128 0027 0809 0007 -2664Cacique N 0037 0020 0048 0009 0781 0005 -4645Inter Amex N 0039 0026 0058 0009 0842 0006 -2468Alfa N 0044 0031 0072 0011 0801 0002 -11998Rendimento N 0049 0022 0078 0011 0885 0008 -1463Bancoob N 0066 0057 0077 0007 0854 0003 -4342Original N 0102 0019 0301 0096 0730 0006 -4526Banco Intermedium SA N 0059 0027 0083 0020 0752 0006 -4354

Table A8 ndash Continue on next page

45

Table A8 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0017 0217 0054 0776 0003 -7084Banco BBN SA N 0038 0022 0058 0010 0831 0011 -1492B Cooperativo Sicredi SA N 0047 0035 0071 0010 0879 0005 -259B Cooperativo do Brasil SA N 0046 0035 0128 0020 0919 0006 -1339Banco Topazio SA N 0075 0036 0153 0041 0855 0005 -2657Banco Gerador SA N 0091 0057 0144 0034 0869 0008 -173Banco Randon SA N 0124 0029 0332 0112 0799 0005 -4023Parana Banco SA N 0036 0021 0071 0012 0797 0008 -2452Banco Triangulo SA N 0053 0023 0115 0027 0839 0004 -4256Banco Guanabara SA N 0047 0020 0100 0019 0790 0004 -561Banco Cedula SA N 0066 0012 0362 0068 0747 0003 -10082Banco Cacique SA N 0063 0026 0231 0074 0789 0016 -1336Banco Luso Brasileiro SA N 0066 0026 0249 0053 0865 0005 -2985Banco Pecunia SA N 0034 0029 0041 0004 0784 0003 -7038Banco Zogbi SA N 0036 0027 0046 0006 0782 0002 -13399Banco Daycoval SA N 0054 0019 0131 0034 0784 0004 -607Banco John Deere SA N 0039 0015 0083 0018 0761 0003 -8316Banco AJ Renner SA N 0049 0024 0073 0013 0840 0006 -2621ABN Amro F 0041 0030 0066 0009 0890 0002 -6866Chase F 0059 0013 0173 0039 0801 0007 -2733LLoyds F 0038 0021 0055 0010 0821 0003 -5484BankBoston F 0040 0028 0063 0012 0888 0006 -1931Santander Brasil F 0056 0028 0107 0027 0866 0008 -1663Citibank F 0052 0022 0123 0023 0860 0003 -4735BNL F 0039 0028 0063 0014 0841 0005 -2966Sudameris F 0041 0036 0052 0006 0948 0011 -473Societe Generale F 0052 0020 0103 0022 0833 0006 -2579Europeu F 0038 0030 0049 0007 0856 0007 -2153ABC-Brasil F 0046 0029 0079 0014 0813 0003 -5935Dresdner F 0055 0014 0212 0052 0822 0005 -3913AGF Braseg F 0046 0027 0071 0014 0806 0005 -4276HSBC F 0053 0032 0101 0019 0949 0007 -784Deutsche F 0058 0013 0141 0029 0863 0005 -2878BNP Paribas F 0051 0030 0074 0012 0818 0004 -4118Barclays F 0066 0025 0130 0030 0805 0005 -4123Rabobank Int Brasil SA F 0049 0019 0109 0018 0844 0003 -4752B Nat de Paris Brasil SA F 0041 0019 0069 0018 0817 0005 -3368Ibibank SA - Banco Multiplo F 0046 0010 0095 0021 0781 0014 -1617Dresdner Bank - B Multiplo F 0093 0017 0282 0072 0782 0008 -2899Banco Westlb Do Brasil SA F 0044 0027 0069 0015 0850 0009 -1591Banco GE Capital SA F 0055 0026 0249 0046 0859 0009 -1489B Com Uruguai SA F 0071 0017 0228 0056 0845 0003 -46241S - State-owned bank N - National bank and F - Foreign bank

46

Table A9 Estimates of Lerner index and return to scale by bank - Model (4)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0054 0041 0078 0011 0939 0007 -873Banrisul S 0055 0040 0106 0014 0948 0008 -692BEC S 0046 0020 0072 0014 0846 0009 -1746BRB S 0057 0032 0094 0016 0959 0002 -1673BB S 0057 0038 0095 0014 0981 0006 -33Caixa Economica Federal S 0061 0049 0165 0021 1042 0003 1249B da Amazonia SA S 0056 0015 0117 0022 0844 0008 -2047B do Estado Do Para SA S 0059 0025 0103 0020 0936 0004 -1701B do E Do Maranhao SA S 0052 0044 0062 0005 0936 0014 -448B do E Do Piauı SA - Bep S 0054 0029 0147 0028 0865 0004 -3201B do Estado De Sergipe SA S 0061 0023 0168 0026 0947 0004 -1484Nossa Caixa - N Banco SA S 0054 0035 0085 0012 0977 0004 -547Bradesco N 0056 0036 0107 0017 0919 0004 -2123Itau N 0058 0030 0212 0032 0896 0003 -3979Safra N 0052 0035 0107 0013 0882 0003 -445Unibanco N 0052 0035 0082 0013 0892 0001 -7446Mercantil Do Brasil N 0057 0027 0093 0015 0942 0002 -2687BBM N 0075 0015 0294 0064 0784 0005 -4512BMC N 0050 0029 0074 0011 0846 0003 -472BMG N 0065 0016 0202 0047 0779 0003 -7192JMalucelli N 0048 0022 0071 0014 0720 0003 -8923PEBB N 0061 0016 0172 0044 0704 0008 -382SS N 0056 0033 0213 0037 0799 0007 -2875Sofisa N 0053 0020 0087 0019 0805 0002 -9731BIC N 0061 0033 0269 0048 0854 0005 -2768Schahin N 0053 0027 0205 0034 0836 0006 -2627Stock N 0081 0020 0265 0068 0820 0006 -3122Pine N 0052 0022 0118 0021 0808 0004 -5467Socopa N 0054 0026 0114 0016 0888 0003 -3785Intercap N 0057 0023 0203 0035 0815 0006 -2877Indusval N 0062 0029 0239 0043 0857 0005 -3085Bonsucesso N 0052 0019 0088 0018 0782 0005 -403Industrial do Brasil N 0050 0030 0076 0015 0809 0002 -9427Votorantim N 0051 0036 0102 0017 0817 0008 -2222Cacique N 0050 0023 0067 0013 0776 0005 -4659Inter Amex N 0052 0035 0064 0009 0837 0007 -2226Alfa N 0048 0039 0071 0007 0805 0002 -11484Rendimento N 0052 0022 0076 0013 0874 0008 -1571Bancoob N 0057 0045 0071 0011 0855 0003 -5022Original N 0094 0017 0278 0090 0730 0006 -4242Banco Intermedium SA N 0049 0027 0065 0014 0746 0006 -4054

Table A9 ndash Continue on next page

47

Table A9 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0019 0220 0050 0764 0003 -7516Banco BBN SA N 0050 0027 0072 0013 0819 0012 -1529B Cooperativo Sicredi SA N 0051 0041 0068 0006 0875 0005 -2551B Cooperativo do Brasil SA N 0053 0044 0134 0018 0910 0006 -151Banco Topazio SA N 0066 0035 0128 0036 0837 0005 -2981Banco Gerador SA N 0082 0045 0157 0043 0854 0007 -1967Banco Randon SA N 0106 0026 0312 0105 0786 0005 -4204Parana Banco SA N 0048 0025 0102 0018 0787 0008 -2768Banco Triangulo SA N 0054 0027 0088 0021 0834 0004 -427Banco Guanabara SA N 0051 0023 0161 0025 0780 0004 -5659Banco Cedula SA N 0069 0012 0360 0065 0735 0003 -1028Banco Cacique SA N 0073 0027 0240 0075 0786 0016 -1327Banco Luso Brasileiro SA N 0065 0026 0242 0047 0852 0004 -346Banco Pecunia SA N 0045 0037 0056 0006 0773 0003 -7139Banco Zogbi SA N 0048 0036 0064 0010 0779 0001 -15057Banco Daycoval SA N 0055 0022 0126 0030 0784 0004 -568Banco John Deere SA N 0056 0018 0125 0031 0757 0003 -8084Banco AJ Renner SA N 0051 0025 0077 0013 0829 0006 -2763ABN Amro F 0053 0038 0074 0013 0909 0002 -4803Chase F 0066 0014 0220 0046 0793 0008 -2711LLoyds F 0050 0026 0060 0011 0825 0003 -5323BankBoston F 0054 0038 0092 0018 0899 0006 -1734Santander Brasil F 0056 0033 0098 0019 0885 0007 -1529Citibank F 0059 0025 0145 0030 0872 0003 -421BNL F 0052 0039 0091 0018 0840 0006 -2854Sudameris F 0053 0046 0062 0005 0961 0011 -352Societe Generale F 0058 0023 0144 0028 0827 0006 -2968Europeu F 0052 0031 0069 0012 0849 0007 -23ABC-Brasil F 0051 0028 0091 0015 0815 0003 -6225Dresdner F 0078 0017 0271 0071 0816 0005 -339AGF Braseg F 0050 0030 0094 0015 0797 0004 -4873HSBC F 0057 0045 0116 0016 0966 0006 -562Deutsche F 0066 0013 0151 0034 0858 0004 -3316BNP Paribas F 0050 0036 0071 0010 0823 0005 -3772Barclays F 0057 0024 0102 0025 0777 0007 -3003Rabobank Int Brasil SA F 0057 0021 0157 0026 0842 0003 -5266B Nat de Paris Brasil SA F 0059 0023 0102 0030 0812 0006 -3387Ibibank SA - Banco Multiplo F 0056 0012 0100 0023 0781 0015 -148Dresdner Bank - B Multiplo F 0084 0016 0237 0064 0771 0008 -2798Banco Westlb Do Brasil SA F 0061 0033 0101 0025 0841 0010 -1646Banco GE Capital SA F 0063 0031 0238 0044 0853 0010 -1548B Com Uruguai SA F 0074 0020 0226 0056 0833 0003 -51921S - State-owned bank N - National bank and F - Foreign bank

48

Table A10 Estimates of Lerner index and return to scale by bank - Model (5)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0043 0093 0012 0940 0007 -834Banrisul S 0054 0041 0083 0009 0949 0008 -668BEC S 0046 0020 0075 0014 0846 0009 -1719BRB S 0058 0032 0121 0017 0960 0002 -1607BB S 0056 0037 0087 0010 0981 0006 -321Caixa Economica Federal S 0061 0050 0156 0019 1044 0003 1282B da Amazonia SA S 0057 0016 0115 0023 0843 0008 -2023B do Estado Do Para SA S 0059 0027 0102 0020 0938 0004 -1608B do E Do Maranhao SA S 0052 0042 0064 0006 0939 0015 -418B do E Do Piauı SA - Bep S 0054 0029 0138 0025 0866 0004 -3097B do Estado De Sergipe SA S 0059 0024 0136 0020 0949 0004 -1404Nossa Caixa - N Banco SA S 0055 0036 0088 0013 0979 0004 -494Bradesco N 0056 0037 0108 0016 0918 0004 -2108Itau N 0058 0031 0213 0033 0894 0003 -3968Safra N 0052 0036 0086 0010 0881 0003 -4388Unibanco N 0053 0037 0085 0013 0892 0001 -7433Mercantil Do Brasil N 0057 0027 0086 0012 0943 0002 -2619BBM N 0075 0015 0292 0063 0784 0005 -447BMC N 0050 0029 0077 0012 0846 0003 -4648BMG N 0067 0017 0220 0051 0777 0003 -7116JMalucelli N 0049 0022 0083 0016 0718 0003 -8879PEBB N 0060 0017 0176 0044 0704 0008 -3743SS N 0059 0032 0223 0041 0798 0007 -2847Sofisa N 0055 0021 0112 0022 0804 0002 -9624BIC N 0060 0032 0238 0041 0853 0005 -2725Schahin N 0055 0028 0228 0038 0836 0006 -2575Stock N 0082 0019 0267 0068 0821 0006 -3063Pine N 0052 0022 0096 0018 0808 0004 -5392Socopa N 0055 0027 0113 0016 0889 0003 -3694Intercap N 0060 0023 0210 0037 0814 0006 -2856Indusval N 0062 0029 0245 0044 0857 0005 -3023Bonsucesso N 0053 0020 0113 0022 0781 0005 -3999Industrial do Brasil N 0051 0030 0084 0016 0808 0002 -9274Votorantim N 0052 0037 0130 0022 0816 0008 -2227Cacique N 0049 0024 0065 0012 0775 0005 -4632Inter Amex N 0052 0034 0067 0011 0837 0007 -2236Alfa N 0047 0041 0056 0004 0804 0002 -11448Rendimento N 0053 0022 0079 0011 0874 0008 -1549Bancoob N 0056 0050 0064 0005 0856 0003 -4874Original N 0087 0018 0288 0093 0728 0006 -4259Banco Intermedium SA N 0055 0027 0078 0019 0744 0006 -4047

Table A10 ndash Continue on next page

49

Table A10 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0217 0048 0763 0003 -7417Banco BBN SA N 0051 0026 0075 0014 0820 0012 -1504B Cooperativo Sicredi SA N 0051 0040 0061 0005 0876 0005 -2499B Cooperativo do Brasil SA N 0054 0043 0136 0019 0912 0006 -1445Banco Topazio SA N 0061 0034 0109 0026 0838 0006 -2897Banco Gerador SA N 0073 0052 0124 0026 0855 0008 -1918Banco Randon SA N 0120 0024 0327 0114 0785 0005 -4153Parana Banco SA N 0048 0026 0106 0020 0786 0008 -2732Banco Triangulo SA N 0055 0027 0111 0022 0834 0004 -4227Banco Guanabara SA N 0052 0024 0153 0024 0779 0004 -5589Banco Cedula SA N 0069 0012 0339 0062 0734 0003 -10232Banco Cacique SA N 0076 0027 0246 0076 0785 0016 -1317Banco Luso Brasileiro SA N 0067 0027 0207 0047 0852 0004 -3379Banco Pecunia SA N 0046 0038 0054 0006 0773 0003 -71Banco Zogbi SA N 0047 0037 0061 0010 0778 0001 -14931Banco Daycoval SA N 0054 0022 0126 0026 0782 0004 -5661Banco John Deere SA N 0056 0018 0129 0031 0756 0003 -8043Banco AJ Renner SA N 0053 0025 0080 0015 0829 0006 -2716ABN Amro F 0053 0038 0074 0012 0908 0002 -4751Chase F 0067 0014 0225 0047 0792 0008 -2693LLoyds F 0049 0025 0064 0012 0824 0003 -5227BankBoston F 0054 0037 0096 0020 0899 0006 -1701Santander Brasil F 0057 0033 0103 0019 0884 0008 -1511Citibank F 0059 0026 0154 0028 0871 0003 -4204BNL F 0052 0037 0097 0020 0840 0006 -28Sudameris F 0052 0045 0058 0005 0962 0011 -334Societe Generale F 0060 0023 0151 0031 0827 0006 -2924Europeu F 0050 0032 0066 0012 0849 0007 -2263ABC-Brasil F 0051 0025 0079 0014 0814 0003 -617Dresdner F 0080 0017 0276 0073 0816 0005 -3374AGF Braseg F 0050 0031 0093 0015 0796 0004 -4812HSBC F 0057 0043 0093 0011 0966 0006 -541Deutsche F 0066 0013 0155 0035 0858 0004 -3244BNP Paribas F 0050 0035 0067 0008 0822 0005 -3775Barclays F 0056 0024 0113 0025 0778 0007 -305Rabobank Int Brasil SA F 0057 0021 0163 0027 0842 0003 -5208B Nat de Paris Brasil SA F 0058 0022 0100 0029 0812 0006 -3343Ibibank SA - Banco Multiplo F 0057 0012 0099 0023 0780 0015 -1478Dresdner Bank - B Multiplo F 0087 0016 0244 0068 0770 0008 -2768Banco Westlb Do Brasil SA F 0063 0034 0106 0026 0841 0010 -1625Banco GE Capital SA F 0064 0032 0247 0046 0853 0010 -1522B Com Uruguai SA F 0073 0019 0191 0049 0833 0003 -50981S - State-owned bank N - National bank and F - Foreign bank

50

Table A11 Estimates of Lerner index and return to scale by bank - Model (6)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0036 0096 0015 0939 0007 -855Banrisul S 0050 0035 0098 0014 0938 0008 -82BEC S 0041 0019 0067 0012 0855 0009 -1644BRB S 0053 0029 0124 0018 0956 0002 -1996BB S 0051 0032 0088 0013 0954 0006 -807Caixa Economica Federal S 0054 0040 0094 0012 1014 0003 475B da Amazonia SA S 0053 0015 0103 0022 0846 0008 -205B do Estado Do Para SA S 0051 0028 0074 0013 0943 0004 -1319B do E Do Maranhao SA S 0041 0031 0059 0008 0950 0014 -346B do E Do Piauı SA - Bep S 0042 0028 0084 0012 0879 0004 -2727B do Estado De Sergipe SA S 0052 0022 0153 0022 0953 0003 -1377Nossa Caixa - N Banco SA S 0047 0032 0081 0014 0969 0004 -74Bradesco N 0052 0032 0097 0019 0898 0004 -2645Itau N 0054 0027 0190 0031 0877 0003 -4452Safra N 0049 0032 0100 0015 0872 0003 -5056Unibanco N 0043 0032 0067 0010 0878 0001 -8666Mercantil Do Brasil N 0053 0026 0087 0017 0938 0002 -3104BBM N 0066 0013 0251 0056 0792 0005 -4556BMC N 0041 0026 0069 0011 0850 0003 -4582BMG N 0067 0016 0228 0057 0781 0003 -6611JMalucelli N 0051 0022 0089 0017 0725 0003 -9344PEBB N 0046 0015 0157 0039 0728 0008 -3313SS N 0058 0025 0230 0046 0801 0007 -292Sofisa N 0053 0020 0119 0025 0809 0002 -8846BIC N 0060 0029 0262 0049 0852 0005 -2697Schahin N 0049 0025 0229 0040 0843 0006 -2523Stock N 0081 0017 0284 0072 0836 0005 -2986Pine N 0049 0021 0112 0019 0812 0004 -5267Socopa N 0050 0026 0095 0015 0900 0003 -3515Intercap N 0055 0021 0196 0035 0828 0006 -2899Indusval N 0061 0029 0262 0049 0863 0005 -2762Bonsucesso N 0052 0019 0123 0026 0791 0005 -3885Industrial do Brasil N 0046 0027 0088 0015 0816 0002 -8698Votorantim N 0051 0027 0139 0027 0813 0007 -262Cacique N 0039 0022 0050 0009 0784 0005 -4707Inter Amex N 0045 0027 0064 0012 0843 0006 -2493Alfa N 0044 0033 0068 0009 0805 0002 -12111Rendimento N 0050 0022 0073 0010 0883 0008 -1543Bancoob N 0066 0055 0072 0007 0856 0003 -4559Original N 0098 0020 0294 0094 0735 0006 -4509Banco Intermedium SA N 0057 0024 0085 0022 0756 0006 -4324

Table A11 ndash Continue on next page

51

Table A11 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0061 0017 0195 0048 0777 0003 -7233Banco BBN SA N 0042 0023 0059 0012 0831 0011 -1529B Cooperativo Sicredi SA N 0048 0035 0066 0009 0879 0005 -2672B Cooperativo do Brasil SA N 0046 0034 0119 0017 0917 0006 -1439Banco Topazio SA N 0070 0031 0129 0036 0853 0005 -2776Banco Gerador SA N 0086 0057 0148 0034 0867 0007 -1825Banco Randon SA N 0126 0028 0331 0114 0799 0005 -4136Parana Banco SA N 0039 0023 0082 0015 0798 0008 -2556Banco Triangulo SA N 0052 0025 0116 0025 0840 0004 -4363Banco Guanabara SA N 0048 0021 0100 0019 0792 0004 -5683Banco Cedula SA N 0067 0013 0356 0067 0749 0002 -10205Banco Cacique SA N 0067 0026 0232 0073 0792 0015 -1356Banco Luso Brasileiro SA N 0065 0025 0237 0052 0864 0004 -3163Banco Pecunia SA N 0037 0029 0045 0006 0786 0003 -7158Banco Zogbi SA N 0037 0027 0045 0007 0785 0002 -13921Banco Daycoval SA N 0053 0020 0120 0031 0787 0003 -6088Banco John Deere SA N 0043 0017 0099 0022 0764 0003 -8346Banco AJ Renner SA N 0050 0025 0080 0013 0840 0006 -2706ABN Amro F 0043 0035 0067 0008 0894 0002 -6685Chase F 0059 0014 0189 0040 0803 0007 -2772LLoyds F 0039 0021 0055 0012 0824 0003 -5536BankBoston F 0044 0029 0075 0015 0890 0006 -1965Santander Brasil F 0054 0028 0107 0024 0871 0008 -1694Citibank F 0054 0023 0133 0026 0863 0003 -4787BNL F 0042 0028 0078 0018 0843 0005 -2998Sudameris F 0041 0036 0052 0006 0948 0010 -491Societe Generale F 0054 0020 0118 0025 0834 0006 -2716Europeu F 0038 0029 0049 0008 0856 0006 -2239ABC-Brasil F 0046 0028 0084 0014 0816 0003 -6111Dresdner F 0063 0015 0239 0061 0823 0005 -3888AGF Braseg F 0047 0027 0074 0014 0807 0004 -4477HSBC F 0054 0032 0109 0018 0950 0006 -823Deutsche F 0058 0013 0122 0028 0863 0004 -305BNP Paribas F 0051 0032 0070 0011 0822 0004 -4145Barclays F 0064 0024 0128 0029 0802 0005 -4051Rabobank Int Brasil SA F 0051 0019 0130 0021 0846 0003 -4992B Nat de Paris Brasil SA F 0043 0019 0070 0019 0819 0005 -3429Ibibank SA - Banco Multiplo F 0049 0010 0083 0020 0785 0013 -161Dresdner Bank - B Multiplo F 0087 0016 0261 0066 0783 0007 -2901Banco Westlb Do Brasil SA F 0051 0030 0082 0019 0850 0009 -1643Banco GE Capital SA F 0053 0028 0239 0044 0859 0009 -1544B Com Uruguai SA F 0071 0017 0217 0054 0845 0003 -48451S - State-owned bank N - National bank and F - Foreign bank

52

Seacuterie de Textos para Discussatildeo do Curso de Ciecircncias Econocircmicas ndash FACEUFG ndash TD [078]

EDITORIAL FACE ndash Faculdade de Administraccedilatildeo Ciecircncias Contaacutebeis e Ciecircncias Econocircmicas Curso de Ciecircncias Econocircmicas Direccedilatildeo FACE Prof Moiseacutes Ferreira da Cunha Vice-Direccedilatildeo FACE Profordf Andreacutea Freire de Lucena Coordenaccedilatildeo do Curso de Ciecircncias Econocircmicas Prof Tiago Camarinha Lopes NEPEC ndash Nuacutecleo de Estudos e Pesquisas Econocircmicas Coordenaccedilatildeo Prof Seacutergio Fornazier Meyrelles Filho SEacuteRIE DE TEXTOS PARA DISCUSSAtildeO DO CURSO DE CIEcircNCIAS ECONOcircMICAS DA UFG Coordenaccedilatildeo e Equipe de Editoraccedilatildeo Prof Sandro Eduardo Monsueto Adriana Moura Guimaratildees Matheus Henrique de Arauacutejo Dutra

Endereccedilo Campus Samambaia Preacutedio da FACE ndash Rodovia GoiacircniaNova Veneza km 0 ndash CEP 74690-900 Goiacircnia ndash GO Tel (62) 3521 ndash 1390 URL httpwwwfaceufgbreconomia Publicaccedilatildeo cujo objetivo eacute divulgar resultados de estudos que contam com a participaccedilatildeo de pesquisadores do NEPEC As opiniotildees contidas nesta publicaccedilatildeo satildeo de inteira responsabilidade do(s) autor(es) natildeo representando necessariamente o ponto de vista do NEPEC ou da FACEUFG Eacute permitida a reproduccedilatildeo desde que citada a fonte

Page 17: 1(3(& )$&( 8)* · The Dark Side of Prudential MeasuresI Paulo R. Scalco a, Benjamin M. Tabak1, Anderson M. Teixeira aFaculty of Management, Accounting and Economics, Federal University

December 2018 there was information on a total of 2753 IFs between commercial banks

or multiple banks with and without commercial portfolios credit cooperatives development

banks among others arranged quarterly since the first quarter of 2000

Our sample was restricted only to commercial banks or multiple banks with commercial

portfolios and savings banks Banks with loan portfolio equal zero and did not contain

information for at least three consecutive years were excluded In the same way we excluded

banks with observations that fell bellow 1st percentile of the sample for each one of variables

used in the model or above 99th percentile only for the dependent variable RC = TRC

Furthermore we chose to work with the data on a semi-annual basis (June and December

base dates) because inconsistencies we have found in some quarterly accounting data After

applying all these criteria our sample was restricted to a panel with only 83 banks between

the first half of 2000 and the second half of 2014 totaling 1818 observations2 In terms

of representativeness our sample with only 83 banks corresponded to 794 of the total

assets and 817 of the credit portfolio of the entire SFN in December 2014

The second database was obtained from Cerutti et al (2016) In this unprecedented

database the focus is on the change and intensity in the use of a set of prudential instruments

classified as micro-prudential and macro-prudential3 They collect the data for 64 countries

with a quarterly period covering the period between the first quarter of 2000 and the fourth

quarter of 2014 In the database in addition to a considerable number of countries the

information collected by the authors has the objective of mapping the intensity and the

change occurring quarterly in each of the prudential instruments

The original instruments of the database are the capital requirement capital buffer

interbank exposure limit concentration limit maximum loan amount commonly known as

Loan-to-value and reserve requirement

Concerning the capital requirement instrument we can understand it as an imposition

2Although the BCB has information until the second half of 2018 the database with prudential variablesavailable in the article by Cerutti et al (2016) goes only until the second half of 2014

3The database of Cerutti et al (2016) is a considerable advance to the available prudential data collectedso far in Lim et al (2011) and Cerutti et al (2017a) In both studies the focus is on only identifying whetheror not the country has implemented the appropriate prudential instrument

15

for a compulsory deposit with the BCB of demand deposits of financial institutions Capital

buffer serves as a buffer against countercyclical capital whose purpose is to protect the

banking sector in periods of excessive credit growth which is associated with increased

systemic risk On the other hand in periods of credit constraint the buffering capital may

decrease and thus not affecting the performance of the real side of the economy

The interbank exposure limit is a liability limiter maintained by the banking sector as a

whole or by a particular bank By the concentration limit we mean a procedure that limits

the fraction of assets concentrated to a limited number of borrowers

Loan-to-value is a restriction to the borrower or activity It is the imposition of maximum

amounts of loans on the value of collateral or even maximum amounts of indebtedness to the

income of the borrower Finally we can interpret a reserve requirement as an instrument

whose purpose is to limit the multiplication of money in the economy through the imposition

of compulsory deposits with the Central Bank

The prudential capital buffer instrument was broken down into the following categories

general capital requirement real estate credit consumer credit and others We decompose

the reserve requirement instrument into two sub-indices local domestic currency and foreign

currency

Information on intensity and change in prudential tooling is collected as follows by the

researchers If the financial regulator tightens the instrument in question in a specific quarter

the index assumes a value of +1 On the other hand if the same instrument undergoes

relaxation or loosening the value of minus1

Finally the index receives a value of zero if there was no change in the prudential

instrument in that quarter4 According to Cerutti et al (2016) in addition to capturing the

intensity of change in such a prudential policy this type of coding incorporates qualitative

characteristics of the policy that are lost by the type of dichotomous coding (1 if implemented

and 0 otherwise) Despite the simplicity of the coding used it is imperfectly able to measure

direction in policy change Not all the instruments available on the original basis were used

4For more details on how the base was built see Cerutti et al (2016)

16

because some measures were not implemented by the BCB Examples are the capital buffer

for real estate credit the concentration limit of banks to sectors or borrowers and the limit

on interbank exposure

Moreover due to the low variability in most measures and the semi-annual structure

of the database obtained in the BCB we chose to use the cumulative indexes of variation

According to Cerutti et al (2016) the purpose of this cumulative index is to capture the

level of tightness or looseness over a given period Finally to capture an overall measure of

prudential instruments we aggregate all variations of prudential instruments into a single

aggregate instrument called cumulative prudential Table A5 attached illustrates the

change and the intensity of the prudential instruments implemented by Brazil according to

the data collected by Cerutti et al (2016)

Our empirical strategy consists in estimating the equation 16 by Maximum Likelihood in

a two-stage procedure wherein the first stage we obtain the estimates of the parameters of

the equation and in the second stage we calculate the estimates of uit using the conditional

mean estimator of Jondrow et al (1982)

After obtaining the estimates of u and RC equiv EY we use equation 20 to calculate the

estimated values of θ which are used to calculat e the Lerner Index (L) according to

equation 21

We estimated six models wif different sets of deterministic variables (prudential measures)

to control the parameter of market power (uit) In the first model we did not add any

controls In the second we include only the HHI In the third specification we include the

capital buffer and capital requirement The fourth model uses only the loan-to-value In the

fifth model we include reserve requirements in both foreign and local currency and in the

last model we include the cumulative prudential measure which is the sum of the changes

in all other prudential measures

The inclusion of prudential variables in a separated way was necessary because they

represent only the tightening or the loosening of the prudential instrument Therefore they

do not represent the change in the magnitude of the prudential instrument As such the

variables have little variability and the high correlation generated between them causes

17

severe problems in the estimation process by maximum likelihood In general the tests with

the aggregate models did not reach the convergence of likelihood function even using different

strategies for initial values or optimization algorithm and when the optimization reaches an

optimal state the estimates were inconsistent For this reason we chose to estimate simpler

models including prudential variables separately or at most two when they represented

similar measures

Besides two critical events occurred in the second half of 2008 and significantly changed

the structure and dynamics of the banking industry in Brazil The outbreak of the subprime

crisis in the US and the acquisition of Unibanco by Itau in Brazil5 Itau-Unibanco has become

the largest bank in Brazil (Itau-Unibanco) accounting for 191 of total SFN assets and

184 of the total loan portfolio in the second half of 2008

We can observe the increase in market concentration in Figure 1 which represents HHI

concentration indices for total assets and total credit portfolio The increase in concentra-

tion levels of the banking industry on the other hand also coincides temporarily with the

outbreak of the GFC and an increase in rigidity in prudential instruments after the onset of

the crisis6

These events result in a high correlation between the variables and making it more

difficult to isolate the effects of each variable on the parameter of market power In this

way we also chose to estimate an HHI-only model as the control variable of market power

(uit)

Figure 1 Evolution of the Herfindahl Index (HHI) over time using credit and total assets

for the Brazilian banking system

We summarize the description of the variables that we will use in the estimation of

5Unibanco was the sixth largest Brazilian bank in the first half of 2008 accounting for 59 of total SFNassets and 6 of the total loan portfolio Also Itau was the third largest bank with 118 of SFN and119 of the loan portfolio

6Cubillas amp Suarez (2018) find the same result as the banksrsquo market power increased shortly after theGFC

18

equation 16 and how we calculate them in Table 1 All variables included in equation 16

except for trend prudential variables an HHI are in the logarithms form

Table 1 Variables used to IDF estimatation

5 Empirical Results

We present the results of the models in Table 2 Initially focusing on the interpretation

of the parameters of the input-distance function we verified that the size of the IF credit

portfolio (lnY ) has a negative sign but it was significant only for models 1 4 and 5 This

result implies that the larger the portfolio size the lower the revenue-cost ratio of the FI

Table 2 Results of IDF estimation

The coefficients of Staff costs (lnx1) and volume of funding (lnx2) were also negative

and significant in all models Thus the higher the staff costs and the higher the funding

volume the lower the cost-to-cost ratio of the FIs The trend variable as established by

equation 23 represents the scale bias and the negative sign would indicate that technological

change would increase economies of scale over time however no estimate was significant

51 Impact of Prudential Measures on Mark-up

The evaluation of the variables that determine the mark-up parameter (u) shows that

all of them are statistically significant and positive The SFA model is not linear in these

parameters Therefore the value of the coefficients does not represent the effect of the

magnitude of changes in the variables on the mark-up (their elasticities) However we can

estimate their marginal effects We present them for each variable in Figure 2

19

Figure 2 Marginal effects of HHI and prudential instruments (Capital Buffer Capital

RequirementLTV Reserve Requirement (Foreign) Reserve Requirement (domestic) and

cumulative prud) on themark-upucomponent

The positive sign of HHI in model 2 means that the more concentrated the banking

industry is the higher the market power of FIs This result is in line with that established by

the traditional structure-conduct-performance paradigm (Schmalensee 1989) However as

can be seen in Figure 1 the increase in the concentration index coincides with the tightening

of the prudential measures stemming from the GFC In this sense we can not say whether

this is the real effect of the increase in market concentration on the market power of FIs or

whether it is affected by the tightening of prudential measures

If we focus on prudential instruments the results for capital buffers and the capital

requirement (model 3) indicate that a tightening in these variables - whose purpose is to

increase banksrsquo capital reserve during positive shocks in the economy - has a detrimental

effect on competition market since they raise the IF mark-ups This effect happens because

this prudential measure influences the smoothing of the credit supply cycle

The same results are present for the loan-to-value variable (model 4) In general this

measure sets limits on the leverage of mortgages and other securities and a tightening in

ltv is effective in controlling possible booms in the real estate market by reducing real estate

prices and ultimately reducing the excess volatility of the economy ((Zhang amp Zoli 2016

Ely et al 2019) According to the result found the higher the limits the greater the market

power of the FIs

With respect to reserve requirements both in foreign and local currency - credit limits

directly in foreign currency and domestic currency respectively - the results (model 5) also

demonstrate a detrimental effect on competition since the tightening in such measures also

implies an increase mark-up of IFs In the model 6 where we introduce the aggregate

prudential measure the result found is similar to the others that is the higher the tightness

(in general) in the prudential measures of the financial system the higher the market power

of FIs

20

Unfortunately since prudential variables represent only a measure of tightening or loos-

ening of prudential policy and not its magnitude we can not accurately assess the impact

of these variables on the mark-up The marginal effects represented in Figure 2 give us only

an idea of how such variables affected the estimated mark-ups

However in general we can say that the positive signs of the estimates mean that the

higher the tightness in these prudential policies the greater the mark-up and consequently

the higher the market power of the FIs Therefore we find a perverse effect on industry

competition and probably a loss of borrowers welfare

Our results are in accordance with the evidence that the increase in prudential rigor has

negative impacts mainly on the supply of credit (Lim et al 2011 Claessens 2015 Aiyar

et al 2014 Gropp et al 2018 Cerutti et al 2017a) Ceteris paribus the increase of IF

mark-ups would be a fully expected effect As highlighted by Claessens amp Laeven (2004) any

policy that restricts the activity of banks and hinders their operation has negative impacts

on market competition

52 Estimation of Lerner indices

Regarding the mark-up estimation the values reported at the bottom of Table 2 corre-

spond to the distance between the observed revenue-cost ratio and its competitive boundary

that is the component u

To interpret the mark-up however we will focus the discussion on the estimates of

Lerner index (equation 21) because they have a more unambiguous economic meaning We

summarize the results of Lerner index for general estimates by type of control and for each

model in Table 3 and the Figure 3 shows their frequency distributions We should emphasize

that these estimates are individuals that is we obtain the estimates for each IF and at each

period t The tables in Annex (A6 to A11) summarizes the estimates of the Lerner index

and the returns to scale for each IF in the sample

Table 3 Estimates of Lerner index general and by type of control

21

Figure 3 Frequency distribution of Lerner indexes for each model and density estimation

Kernel by typeof control

For all six models all mark-up estimates were within the theoretical range of 0 and 1

with the minimum value being 0009 (model 2) and the maximum value 0362 (model 3) In

general the estimated average value was between 0051 (model 2) and 0058 (models 1 and

5) which means that on average Brazilian banks have a mark-up between 51 and 58

These values are slightly different when we separate the estimates by type of control

In the case of state-owned banks the average mark-up was between 0047 (model 2)

and 0057 (model 1) These values are lower in all the estimated models to the values

of (privates) national banks (0052-0057) and foreign banks (0050-0061) However the

medians of estimated values for state-owned banks were higher than the national and foreign

private banks in all models

For comparison purposes these values are considerably lower than the value (016) esti-

mated for Brazil in Coccorese (2014) We believe that this difference is due to the model and

sample used Coccorese (2014) has estimated the dual version of model (equation 5) and

as highlighted by Kumbhakar et al (2012) the use of accounting information to calculate

input prices can generate problems when they are endogenous

Regarding the sample Coccorese (2014) also used a different period from ours (1994 to

2012) and a more significant number of IFs in the sample (189 against 83 used by us) The

main difference here is in the number of IF - 106 in total In this respect it is essential to

note that these FIs constitute small FIs and in the second half of 2014 they held only 37

of total SFN assets and 24 of the total credit portfolio

We tried to replicated the Coccoresersquo sample but in preliminary tests we have found great

difficulties in the models estimations in particular at convergence of likelihood function

We observed these small IFs had in several situations extremely high values for the revenue-

cost ratio or excessively low for the inputs used (personnel expenses and funding) as well

as other problems such as launch errors (positive values in variables of expenditure for

example) and missings For these reasons and considering that such IFs represented only a

22

small fraction of Brazilian credit market we decided to exclude them from the sample

However It is worth highlight as they are small FIs the vast majority operate in particular

segments of the credit market and probably assume a more risk-taking behavior Considering

that they will work with a segment of credit claimants with rdquoworse scoresrdquo than borrowers

using large FIs we expect that the mark-up of these IFs will be higher We can observe

(part of) this phenomenon in Figure 4 where we represent the estimates of the Lerner index

(vertical axis) against market share of total assets (horizontal axis) of our sample and it is

quite evident the smaller banks have the higher mark-ups Therefore as our sample exclude

a large proportion of these small IFs it is natural that Coccorese (2014)rsquo results larger than

ours

Figure 4 Lerner indexes according to the size (market share) of banksrsquo assets

Regardless of this our results seem to adhere well to reality because if we look at Figure

5 we note that the Lerner indices show a significant increase from the second semester of

2008 These results are in agreement with the results of Cubillas amp Suarez (2018) Besides

in Figure 6 Lerner indexes are separated by type of control and we can observe that with

some exceptions the market power has always been lower for state-owned banks especially

considering the period after the GFC

Figure 5 Average Lerner indices for each model between 2000q2 and 2014q4

Figure 6 Average Lerner indices estimated for public private national and private

foreign banks between2000q2 and 2014q4

23

53 Estimation of Returns to Scale

Finally Table 4 and Figure 7 summarize the estimates of returns to scale We highlight

that the average of the returns to the scale of the Brazilian FIs is very close if we comparer

the six estimated models (between 0848 and 0851) Although the values are close to unity

in all IFs we reject the hypotheses of constant returns to the scale that is RTS = 1 therefore

IFs have diseconomies of scale

Table 4 Estimates of returns to scale by control type and general

When we separate estimates by type of control the estimates of state-owned banks

(0937-0944) are higher than national (0824-0829) and foreign banks (0841-0844) This

result means that the scale problem is a problem common to all FIs in Brazil Moreover

state-owned banks runs closer to the constant return region than national and foreign banks

Figure 7 Frequency distribution of the returns to scale indexes for each model and

density estimationKernel by type of control

6 Final Considerations

Considering that the banking industry underwent a significant restructuring in recent

years caused by several mergers and acquisitions in the sector as well as by a severe financial

crisis started in mid 2007 and potentialized in 2008 understand the behavior of market

power and as a (partial) set of prudential instruments influencing this dynamic has become

paramount Thus in an innovative way this paper proposed the use of stochastic frontier

analysis techniques to measure market power for the Brazilian banking industry and to test

if such prudential measures had an impact on the competitive dynamics of sector

The estimated average Lerner index was between 51 and 58 for Brazilian FIs How-

ever when controlled by the type of control we find that state-owned banks have slightly

24

lower estimates than national and foreign banks respectively Also estimates of returns to

scale allow us to infer that FIs operate with diseconomies of scale

Concerning the impact of prudential measures on the market power of FIs our results

generally suggest that tightening of prudential measures have a positive impact on bank

mark-up and consequently have detrimental effects on competition in industry banking

Finally in future research it will be possible to better understand the influence of some

prudential measures in the banking market through the study by type of segment or line of

credit

25

References

Aiyar S Calomiris C W amp Wieladek T (2014) Does macro-prudential regulation leak ev-

idence from a uk policy experiment Journal of Money Credit and Banking 46 181ndash214

URL httpsonlinelibrarywileycomdoiabs101111jmcb12086 doi101111jmcb12086

arXivhttpsonlinelibrarywileycomdoipdf101111jmcb12086

Altunbas Y Binici M amp Gambacorta L (2018) Macroprudential policy and bank risk Journal of

International Money and Finance 81 203ndash220 doihttpsdoiorg101016jjimonfin201711

012

Araujo L A D d amp Jorge Neto P d M (2007) Risco e competicao bancaria no Brasil Revista Brasileira

de Economia 61 175ndash200 URL httpwwwscielobrscielophpscript=sci_abstractamppid=

S0034-71402007000200003amplng=enampnrm=isoamptlng=pt doi101590S0034-71402007000200003

Auer R amp Ongena S (2019) The countercyclical capital buffer and the composition of bank lending

Available at SSRN 3345189

Ayyagari M Beck T amp Peria M (2018) The micro impact of macroprudential policies Firm-level

evidence IMF Working Paper

Barbosa K de Paula Rocha B amp Salazar F (2015) Assessing competition in the banking indus-

try A multi-product approach Journal of Banking amp Finance 50 340ndash362 URL httpwww

sciencedirectcomsciencearticlepiiS0378426614001642 doi101016jjbankfin201405

003

Belaisch A (2003) Do Brazilian Banks Compete SSRN Scholarly Paper ID 879189 Social Science Research

Network Rochester NY URL httpspapersssrncomabstract=879189

Bikker J A Shaffer S amp Spierdijk L K (2012) Assessing competition with the panzar-rosse model

The role of scale costs and equilibrium Economics Letters 94 1025ndash1044

Bresnahan T F (1982) The oligopoly solution concept is identified Economics Letters 10 87ndash92 URL

httpdxdoiorg1010160165-1765(82)90121-5 doi1010160165-1765(82)90121-5

Bresnahan T F amp Reiss P (1991) Entry and competition in concentrated markets Journal of Political

Economy 99 977ndash1009

Camors C amp Peydro J (2014) Macroprudential and monetary policy Loan-level evidence from reserve

requirement Mimeo Universitat Pompeu Fabra URL httpspdfssemanticscholarorgd508

61639bb4e7453a7a39184edf9b0c1e7016a6pdf

Cardoso M Azevedo P F amp Barbosa K (2016) Concorrencia no setor bancario brasileiro bancos

individuais versus conglomerados bancarios (pp 113ndash146) URL httprepositorioipeagovbr

handle110586650

Cerutti E Claessens S amp Laeven L (2017a) The use and effectiveness of macroprudential policies New

26

evidence Journal of Financial Stability 28 203ndash224 doihttpsdoiorg101016jjfs201510

004

Cerutti E Correa R Fiorentino E amp Segalla E (2016) Changes in prudential policy instruments ndash a

new cross-country database IMF Working Paper WP1610

Cerutti E Dagher J amp DellrsquoAriccia G (2017b) Housing finance and real-estate booms A cross-country

perspective Journal of Housing Economics 38 1ndash13

Claessens S (2015) An overview of macroprudential policy tools Annual Re-

view of Financial Economics 7 397ndash422 URL httpsdoiorg101146

annurev-financial-111914-041807 doi101146annurev-financial-111914-041807

arXivhttpsdoiorg101146annurev-financial-111914-041807

Claessens S Ghosh S R amp Mihet R (2013) Macro-prudential policies to mitigate financial system

vulnerabilities Journal of International Money and Finance 39 153ndash185 doihttpsdoiorg10

1016jjimonfin201306023

Claessens S amp Laeven L (2004) What drives bank competition some international evidence Journal

of Money Credit and Banking 36 563ndash583 URL httpwwwjstororgstable3838954

Coccorese P (2014) Estimating the Lerner index for the banking industry a stochastic frontier approach

Applied Financial Economics 24 73ndash88 URL httpdxdoiorg101080096031072013866202

doi101080096031072013866202

Coelho C A De Mello J M amp Rezende L (2013) Do Public Banks Compete with Private

Banks Evidence from Concentrated Local Markets in Brazil Journal of Money Credit and Bank-

ing 45 1581ndash1615 URL httponlinelibrarywileycomdoi101111jmcb12063abstract

doi101111jmcb12063

Cubillas E amp Suarez N (2018) Bank market power and lending during the global financial crisis Jour-

nal of International Money and Finance 89 1ndash22 URL httpwwwsciencedirectcomscience

articlepiiS0261560618303048 doihttpsdoiorg101016jjimonfin201808003

Das A amp Kumbhakar S C (2016) Markup and efficiency of Indian banks an input distance func-

tion approach Empirical Economics (pp 1ndash31) URL httplinkspringercomarticle101007

s00181-015-1062-4 doi101007s00181-015-1062-4

Ely R Tabak B amp Teixeira A (2019) Heterogeneous effects of the implementation of macroprudential

policies on bank risk MPRA Paper No94546

Freixas X Laeven L amp Peydro J-L (2015) Systemic Risk Crises and Macroprudential Regulation

Mit Press URL httpwwwjstororgstablejctt17kk82g

Galati G amp Moessner R (2013) Macroprudential policy ndash a literature review Jour-

nal of Economic Surveys 27 846ndash878 URL httpsonlinelibrarywileycom

27

doiabs101111j1467-6419201200729x doi101111j1467-6419201200729x

arXivhttpsonlinelibrarywileycomdoipdf101111j1467-6419201200729x

Gropp R Mosk T Ongena S amp Wix C (2018) Banks Response to Higher Cap-

ital Requirements Evidence from a Quasi-Natural Experiment The Review of Finan-

cial Studies 32 266ndash299 URL httpsdoiorg101093rfshhy052 doi101093rfshhy052

arXivhttpoupprodsislanrfsarticle-pdf32126627185080hhy052pdf

Hyde C E amp Perloff J M (1995) Can market power be estimated Review of Industrial Organization 10

465ndash485 URL httplinkspringercomarticle101007BF01024231 doi101007BF01024231

Igan D amp Kang H (2011) Do loan-to-value and debt-to-income limits work evidence from korea IMF

Working Papers (pp 1ndash34)

Jimenez G Ongena S Peydro J-L amp Saurina J (2017) Macroprudential policy countercyclical bank

capital buffers and credit supply Evidence from the spanish dynamic provisioning experiments Journal

of Political Economy 125 2126ndash2177 URL httpsdoiorg101086694289 doi101086694289

arXivhttpsdoiorg101086694289

Jondrow J Knox Lovell C A Materov I S amp Schmidt P (1982) On the estimation of technical

inefficiency in the stochastic frontier production function model Journal of Econometrics 19 233ndash

238 URL httpwwwsciencedirectcomsciencearticlepii0304407682900045 doi101016

0304-4076(82)90004-5

Klingelhoger J amp Sun R (2019) Macruprudential policy central banks and financial stability Evidence

from china Journal of International Money and Finance 93 19ndash41 URL httpsdoiorg101016

jjimonfin201812015

Kumbhakar S C (2012) Specification and estimation of primal production models European Journal

of Operational Research 217 509ndash518 URL httpwwwsciencedirectcomsciencearticlepii

S0377221711008939 doi101016jejor201109043

Kumbhakar S C Baardsen S amp Lien G (2012) A New Method for Estimating Market Power with

an Application to Norwegian Sawmilling Review of Industrial Organization 40 109ndash129 URL http

linkspringercomarticle101007s11151-012-9339-7 doi101007s11151-012-9339-7

Lerner A P (1934) The Concept of Monopoly and the Measurement of Monopoly Power The Review

of Economic Studies 1 157ndash175 URL httprestudoxfordjournalsorglookupdoi102307

2967480 doi1023072967480

Lim C H Costa A Columba F Kongsamut P Otani A Saiyid M Wezel T amp Wu X (2011)

Macroprudential policy what instruments and how to use them lessons from country experiences IMF

working papers (pp 1ndash85)

Lopez R A He X amp Azzam A (2018) Stochastic frontier estimation of market

28

power in the food industries Journal of Agricultural Economics 69 3ndash17 URL https

onlinelibrarywileycomdoiabs1011111477-955212219 doi1011111477-955212219

arXivhttpsonlinelibrarywileycomdoipdf1011111477-955212219

Lucinda C R (2010) Competition in the Brazilian loan market an empirical analysis Estudos Economicos

(Sao Paulo) 40 831ndash858 URL httpwwwscielobrscielophpscript=sci_abstractamppid=

S0101-41612010000400004amplng=enampnrm=isoamptlng=en doi101590S0101-41612010000400004

Moreno R (2011) Policymaking from arsquomacroprudentialrsquoperspective in emerging market economies

Nakane M I (2002) A test of competition in brazilian banking Estudos Economicos (Sao Paulo) 32

203ndash224 URL httpwwwrevistasuspbreearticleview117799

Panzar J C amp Rosse J N (1987) Testing for rdquomonopolyrdquo equilibrium The Journal of Industrial

Economics 35 443ndash456 URL httpwwwjstororgstable2098582 doi1023072098582

Richter B Schularick M amp Shim I (2019) The costs of macroprudential policy Journal of Inter-

national Economics 118 263 ndash 282 URL httpwwwsciencedirectcomsciencearticlepii

S0022199618302617 doihttpsdoiorg101016jjinteco201811011

Schmalensee R (1989) Chapter 16 inter-industry studies of structure and performance In Hand-

book of Industrial Organization (pp 951ndash1009) Elsevier BV URL httpdxdoiorg101016

s1573-448x(89)02004-2 doi101016s1573-448x(89)02004-2

Silva M S d () Avaliacao do processo de concentracao-competicao no setor bancario brasileiro URL

httpwwwbcbgovbrpecwpsporttd377pdf

Tabak B amp Gomes G (2015) The impact of market power at bank level in risk-taking The brazilian

case International Review of Financial Analysis 40 154ndash165

Tabak B M Fazio D M amp Cajueiro D O (2012) The relationship between banking market competition

and risk-taking Do size and capitalization matter 36 3366ndash3381 URL httpwwwsciencedirect

comsciencearticlepiiS0378426612002026 doi101016jjbankfin201207022

Wong T Fong T Li K-f amp Choi H (2011) Loan-to-value ratio as a macroprudential tool-hong kongrsquos

experience and cross-country evidence

Zhang L amp Zoli E (2016) Leaning against the wind Macroprudential policy in asia Journal of Asian

Economics 42 33ndash52

29

Figure 1 Evolution of the Herfindahl Index (HHI) over time using credit and total assets for theBrazilian banking system

30

Figure 2 Marginal effects of HHI and prudential instruments (Capital Buffer Capital RequirementLTV Reserve Requirement (Foreign) Reserve Requirement (domestic) and cumulative prud) on the

mark-up u component

31

Figure 3 Frequency distribution of Lerner indexes for each model and density estimation Kernel by typeof control

32

Figure 4 Lerner indexes according to the size (market share) of banksrsquo assets

33

Figure 5 Average Lerner indices for each model between 2000q2 and 2014q4

34

Figure 6 Average Lerner indices estimated for public private national and private foreign banks between2000q2 and 2014q4

35

Figure 7 Frequency distribution of the returns to scale indexes for each model and density estimationKernel by type of control

36

Table 1 Variables used to IDF estimatation

Variabel Description SourceBasic variables

TR Total Revenue = Gross Insterest Income (a) + Bank-ing Service Fee Income (d1) + Banking Fee Income(d2) + Other Operating Income (d7)

Inc statIFData

TC Total Cost = Interest Expenses (b) + Personnel Ex-penses (d3) + Administrative Expenses (d4) + TaxExpenses (d5) + Other Operating Expenses (d8)

Inc statIFData

Y Loan Lease and Other Credit Operations by RiskLevel

SummaryIFData

x1 Personnel Expenses (d3) Inc statIFDatax2 Funding (e) LiabilitiesIFDatax3 Equity (j) LiabilitiesIFData

Model variabelslnRC Log of Revenue-Cost ratiolnY Log of total loanlnx1 Log of personnel expenses and equity ratio (x1x3)lnx2 Log of funding and equity ratio (x2x3)T Time

Prudential variables - Deterministic mark-up parametersHHIt HHIt =

sumS2it where Sit

2 is market share of totalasset of bank i on time t

Inc statIFData

cb cumulative change of capital buffer Cerutti et al (2016)cr cumulative change of capital requirement Cerutti et al (2016)ltv cumulative change of loan-to-value Cerutti et al (2016)

rr foreign cumulative change of reserve requirement (foreigncurrency)

Cerutti et al (2016)

rr local cumulative change of reserve requirement (domesticcurrency)

Cerutti et al (2016)

37

Table 2 Results of IDF estimation

Parameters VariablesEstimates

Model Model Model Model Model Model(1) (2) (3) (4) (5) (6)

Parametros da funcao insumo distanciaαY Y lnY -0013 -0003 -0004 -0012 -0011 -0005

(000) (000) (000) (000) (000) (000)α1Y lnx1 -0096 -0095 -0094 -0094 -0096 -0090

(001) (001) (001) (001) (001) (001)α2Y lnx2 -0019 -0022 -0022 -0019 -0020 -0021

(001) (001) (001) (001) (001) (001)αY T T -0000 -0000 -0000 -0000 -0000 -0000

(000) (000) (000) (000) (000) (000)αY const 1153 1010 1035 1134 1129 1057

(005) (007) (005) (005) (005) (006)

Deterministic Mark-up parametersδ1 HHI 764157

(12270)δ1 Capital

Buffer7586(065)

δ2 CapitalReq

4696(160)

δ1 Loan-to-value38511(671)

δ1 ResR(foreign)10730(433)

δ2 ResR(local)2869(126)

δ1 Cum Prud3237(020)

δ0 const minus10601minus10194minus5306 minus9866 minus8577 minus4993(032) (2064) (316) (079) (119) (122)

Distribution of u and vσ2u 2840 1418 1620 2643 2441 1593σ2v 0118 0121 0120 0118 0118 0120λ 2402 1172 1354 2233 2065 1325Log Lik 887404 922033 918606 896019 891991 907817

EstimatesEstimates of Mark-up (u)Avg 0075 0065 0068 0074 0075 00691st quartile 0052 0038 0051 0051 0051 0044Median 0062 0048 0060 0060 0061 00543st quartile 0080 0074 0079 0079 0079 0075std-dev 0053 0054 0053 0053 0054 0054

Note p lt 010 p lt 005 and p lt 001

38

Table 3 Estimates of Lerner index general and by type of control

EstimatesModel Model Model Model Model Model

(1) (2) (3) (4) (5) (6)Mark-up (L) generalAverage 0058 0051 0053 0057 0058 0053std-dev 0032 0034 0034 0032 0032 00331st quartile 0043 0031 0034 0041 0042 0036Median 0051 0039 0044 0050 0050 00453st quartile 0063 0060 0059 0063 0063 0060Mark-up (L) State-owned banksAverage 0057 0047 0049 0056 0056 0050std-dev 0018 0017 0017 0018 0016 00161st quartile 0047 0035 0038 0045 0046 0040Median 0054 0041 0046 0053 0053 00463st quartile 0064 0056 0056 0064 0063 0057Mark-up (L) National banksAverage 0057 0052 0054 0057 0057 0054std-dev 0034 0038 0038 0035 0035 00371st quartile 0041 0030 0033 0040 0041 0035Median 0050 0038 0043 0048 0049 00443st quartile 0061 0061 0060 0061 0062 0060Mark-up (L) Foreign banksAverage 0061 0050 0053 0059 0060 0054std-dev 0034 0033 0032 0034 0034 00321st quartile 0042 0031 0034 0041 0042 0036Median 0052 0040 0044 0051 0051 00453st quartile 0068 0059 0060 0066 0066 0061

Table 4 Estimates of returns to scale by control type and general

ModelState-owned

banksNational

banksForeignbanks

General std-dev Min Max

1 0944 0824 0842 0848 0073 0665 11242 0940 0829 0843 0851 0066 0690 10733 0938 0827 0842 0849 0066 0689 10764 0941 0824 0842 0848 0071 0671 11115 0942 0824 0841 0848 0072 0669 11136 0937 0829 0844 0850 0065 0692 1073

39

Appendix A Attachment Tables

Table A5 Cumulative change on Prudential Measures intensity

TimeCapitalBuffer 2

(cb)

CapitalReq(cr)

Loan-to-Value(ltv)

Reserve Reqlocal curr

(RR local)

Reserve Reqforeign cur

(RR foreign)

CumulativePrudential 3

(Cum Prud)2000q2 -1 0 0 0 -2 -32000q4 -1 0 0 0 -2 -32001q2 -1 0 0 0 -2 -32001q4 0 0 0 0 -1 -12002q2 0 0 0 0 0 02002q4 2 0 0 0 2 42003q2 0 0 0 0 3 32003q4 0 0 0 0 2 22004q2 0 0 0 0 2 22004q4 0 0 0 0 2 22005q2 0 0 0 0 2 22005q4 0 0 0 0 2 22006q2 0 0 0 0 2 22006q4 0 0 0 0 2 22007q2 2 0 0 0 2 42007q4 2 0 0 0 2 42008q2 2 0 0 0 2 42008q4 2 0 0 0 1 32009q2 2 0 0 0 0 22009q4 2 0 0 0 -1 12010q2 2 0 0 0 1 32010q4 3 0 0 0 3 62011q2 3 0 0 1 3 72011q4 4 0 0 2 3 92012q2 3 1 0 2 3 92012q4 3 1 0 1 2 72013q2 3 2 0 0 2 72013q4 3 2 1 0 2 82014q2 3 2 1 0 2 82014q4 2 2 1 0 3 82Sum of capital buffer and others 3Aggregate measure (It is the sum of the change of all other instrument)

40

Table A6 Estimates of Lerner index and return to scale by bank - Model (1)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0042 0082 0009 0940 0007 -85Banrisul S 0055 0041 0084 0009 0952 0008 -635BEC S 0048 0021 0077 0016 0844 0009 -1756BRB S 0058 0033 0100 0015 0961 0003 -1533BB S 0058 0039 0098 0012 0990 0006 -173Caixa Economica Federal S 0063 0051 0174 0022 1052 0004 1458B da Amazonia SA S 0057 0016 0124 0023 0844 0008 -2028B do Estado Do Para SA S 0061 0026 0110 0022 0936 0004 -1764B do Est do Maranhao SA S 0055 0046 0065 0006 0935 0014 -455B do Est do Piauı SA - Bep S 0057 0030 0155 0029 0862 0004 -326B do Estado De Sergipe SA S 0061 0024 0135 0022 0947 0004 -1453Nossa Caixa - N Banco SA S 0057 0036 0090 0013 0981 0004 -444Bradesco N 0056 0038 0114 0015 0925 0004 -1945Itau N 0059 0031 0220 0033 0901 0003 -3797Safra N 0053 0037 0085 0009 0885 0003 -4215Unibanco N 0055 0037 0088 0014 0897 0001 -7054Mercantil Do Brasil N 0057 0027 0077 0011 0945 0002 -2527BBM N 0076 0016 0300 0065 0783 0005 -4464BMC N 0052 0030 0079 0012 0845 0003 -4703BMG N 0065 0017 0208 0045 0779 0003 -729JMalucelli N 0047 0022 0069 0013 0718 0003 -8765PEBB N 0065 0017 0181 0047 0698 0008 -3914SS N 0057 0034 0220 0037 0799 0007 -2839Sofisa N 0054 0021 0092 0020 0804 0002 -9903BIC N 0060 0034 0236 0040 0855 0005 -276Schahin N 0056 0028 0214 0035 0835 0006 -262Stock N 0081 0020 0267 0067 0817 0006 -3107Pine N 0052 0022 0108 0019 0808 0004 -545Socopa N 0056 0027 0120 0017 0886 0003 -3806Intercap N 0060 0023 0212 0037 0812 0007 -2851Indusval N 0062 0030 0246 0043 0857 0005 -3139Bonsucesso N 0052 0020 0092 0018 0779 0005 -4033Industrial do Brasil N 0051 0031 0081 0016 0807 0002 -952Votorantim N 0052 0037 0107 0017 0819 0009 -2117Cacique N 0053 0024 0071 0014 0774 0005 -4621Inter Amex N 0055 0037 0068 0010 0837 0008 -2158Alfa N 0048 0041 0059 0005 0806 0002 -11303Rendimento N 0053 0022 0080 0012 0872 0008 -1562Bancoob N 0052 0046 0056 0003 0856 0003 -5061Original N 0085 0017 0279 0090 0729 0007 -4163Banco Intermedium SA N 0052 0028 0070 0015 0743 0006 -3973

Table A6 ndash Continue on next page

41

Table A6 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0225 0049 0761 0003 -7509Banco BBN SA N 0053 0027 0077 0014 0817 0012 -1509B Cooperativo Sicredi SA N 0052 0043 0062 0005 0875 0005 -2477B Cooperativo do Brasil SA N 0056 0046 0142 0020 0910 0006 -1479Banco Topazio SA N 0060 0035 0110 0027 0834 0006 -2966Banco Gerador SA N 0069 0045 0122 0028 0852 0008 -1968Banco Randon SA N 0109 0023 0320 0109 0783 0005 -4158Parana Banco SA N 0050 0026 0108 0020 0784 0008 -2799Banco Triangulo SA N 0055 0028 0091 0020 0833 0004 -4201Banco Guanabara SA N 0052 0024 0169 0025 0777 0004 -5588Banco Cedula SA N 0068 0012 0339 0061 0731 0003 -10236Banco Cacique SA N 0077 0028 0248 0077 0785 0016 -1309B Luso Brasileiro SA N 0065 0027 0208 0043 0849 0004 -349Banco Pecunia SA N 0047 0039 0060 0006 0770 0003 -7086Banco Zogbi SA N 0051 0038 0067 0011 0778 0001 -15193Banco Daycoval SA N 0054 0023 0131 0026 0783 0004 -5522B John Deere SA N 0059 0018 0133 0033 0756 0003 -7955Banco AJ Renner SA N 0053 0025 0081 0015 0827 0006 -2742ABN Amro F 0056 0039 0079 0014 0914 0002 -427Chase F 0068 0014 0228 0049 0790 0008 -2678LLoyds F 0053 0027 0064 0012 0825 0003 -5159BankBoston F 0057 0040 0099 0020 0902 0006 -1638Santander Brasil F 0057 0034 0097 0017 0890 0008 -146Citibank F 0059 0026 0153 0028 0875 0003 -4039BNL F 0055 0041 0097 0019 0840 0006 -2767Sudameris F 0056 0048 0065 0005 0966 0012 -297Societe Generale F 0060 0024 0153 0031 0826 0006 -299Europeu F 0054 0032 0073 0013 0848 0007 -2287ABC-Brasil F 0052 0025 0082 0014 0815 0003 -6207Dresdner F 0083 0017 0280 0074 0815 0006 -3234AGF Braseg F 0051 0031 0100 0016 0794 0004 -4923HSBC F 0057 0046 0092 0010 0971 0006 -466Deutsche F 0068 0013 0160 0036 0857 0004 -3335BNP Paribas F 0050 0037 0068 0007 0824 0005 -3665Barclays F 0052 0024 0089 0021 0771 0008 -2787Rabobank Int Brasil SA F 0058 0022 0166 0028 0842 0003 -5284B Nat de Paris Br SA F 0063 0023 0109 0033 0811 0006 -3331Ibibank SA - Banco Multiplo F 0059 0012 0106 0024 0781 0015 -1441Dresdner Bank - B Multiplo F 0086 0016 0244 0068 0768 0008 -2746Banco Westlb Do Brasil SA F 0064 0034 0108 0027 0839 0010 -1626Banco GE Capital SA F 0067 0032 0247 0047 0852 0010 -1527B Com Uruguai SA F 0072 0020 0192 0049 0830 0003 -52281S - State-owned bank N - National bank and F - Foreign bank

42

Table A7 Estimates of Lerner index and return to scale by bank - Model (2)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0049 0032 0085 0016 0944 0008 -716Banrisul S 0049 0032 0106 0017 0939 0008 -75BEC S 0032 0016 0046 0008 0860 0009 -1489BRB S 0049 0030 0112 0017 0961 0002 -1681BB S 0049 0032 0091 0016 0948 0006 -845Caixa Economica Federal S 0052 0034 0081 0014 1012 0003 382B da Amazonia SA S 0053 0015 0140 0028 0847 0008 -1922B do Estado Do Para SA S 0046 0029 0063 0009 0952 0005 -963B do Est do Maranhao SA S 0036 0029 0045 0005 0963 0016 -235B do Est do Piauı SA - Bep S 0036 0023 0071 0011 0888 0005 -2314B do Estado De Sergipe SA S 0050 0020 0155 0024 0962 0004 -1043Nossa Caixa - N Banco SA S 0039 0027 0074 0011 0972 0005 -601Bradesco N 0050 0028 0116 0023 0890 0004 -2618Itau N 0052 0024 0222 0037 0869 0003 -4269Safra N 0046 0028 0100 0017 0867 0003 -5042Unibanco N 0035 0028 0054 0007 0873 0001 -8511Mercantil Do Brasil N 0051 0029 0093 0019 0941 0002 -2837BBM N 0063 0012 0213 0048 0790 0005 -4494BMC N 0034 0023 0049 0007 0851 0003 -4266BMG N 0065 0015 0233 0057 0776 0004 -6135JMalucelli N 0052 0018 0080 0016 0720 0003 -9566PEBB N 0037 0014 0108 0025 0732 0009 -3086SS N 0056 0024 0236 0046 0797 0007 -2849Sofisa N 0052 0018 0107 0028 0808 0002 -8115BIC N 0057 0026 0259 0050 0850 0006 -2531Schahin N 0047 0022 0225 0041 0845 0007 -2359Stock N 0078 0017 0287 0071 0843 0006 -2782Pine N 0048 0018 0114 0023 0811 0004 -4973Socopa N 0050 0022 0136 0024 0908 0003 -3089Intercap N 0051 0019 0133 0031 0832 0006 -2759Indusval N 0061 0023 0267 0052 0866 0006 -2437Bonsucesso N 0050 0017 0109 0026 0791 0006 -3655Industrial do Brasil N 0044 0024 0079 0015 0816 0002 -8095Votorantim N 0048 0025 0120 0026 0807 0007 -2721Cacique N 0033 0020 0039 0006 0782 0005 -4597Inter Amex N 0035 0025 0045 0007 0844 0006 -2419Alfa N 0042 0029 0069 0013 0801 0002 -12139Rendimento N 0049 0019 0077 0015 0889 0008 -1394Bancoob N 0065 0057 0073 0006 0855 0003 -4199Original N 0099 0019 0299 0096 0732 0006 -4473Banco Intermedium SA N 0062 0032 0081 0019 0754 0006 -4393

Table A7 ndash Continue on next page

43

Table A7 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0059 0016 0239 0051 0778 0003 -6944Banco BBN SA N 0035 0020 0053 0009 0834 0011 -1466B Cooperativo Sicredi SA N 0045 0032 0070 0011 0881 0005 -2581B Cooperativo do Brasil SA N 0045 0029 0147 0025 0922 0006 -1274Banco Topazio SA N 0076 0043 0138 0038 0861 0005 -2569Banco Gerador SA N 0089 0054 0153 0037 0874 0008 -1645Banco Randon SA N 0122 0029 0335 0113 0803 0005 -388Parana Banco SA N 0033 0020 0062 0011 0800 0009 -234Banco Triangulo SA N 0052 0022 0105 0027 0841 0004 -4148Banco Guanabara SA N 0046 0019 0091 0020 0793 0004 -5561Banco Cedula SA N 0062 0011 0359 0067 0749 0003 -9911Banco Cacique SA N 0049 0020 0157 0048 0791 0016 -1315Banco Luso Brasileiro SA N 0066 0022 0241 0055 0870 0005 -2851Banco Pecunia SA N 0032 0027 0036 0003 0787 0003 -6876Banco Zogbi SA N 0032 0026 0037 0005 0784 0002 -13006Banco Daycoval SA N 0053 0019 0139 0036 0784 0004 -6065Banco John Deere SA N 0035 0016 0073 0016 0761 0003 -8278Banco AJ Renner SA N 0047 0021 0083 0015 0844 0006 -2553ABN Amro F 0035 0027 0047 0006 0889 0002 -7231Chase F 0054 0013 0157 0033 0804 0007 -2702LLoyds F 0033 0020 0043 0008 0821 0003 -5429BankBoston F 0036 0026 0060 0011 0888 0006 -1917Santander Brasil F 0055 0025 0115 0030 0864 0008 -1647Citibank F 0051 0020 0132 0025 0860 0003 -4735BNL F 0036 0026 0062 0012 0843 0005 -2959Sudameris F 0036 0031 0040 0004 0949 0011 -468Societe Generale F 0051 0018 0104 0024 0835 0007 -2454Europeu F 0034 0025 0041 0006 0859 0007 -2076ABC-Brasil F 0043 0026 0086 0015 0813 0003 -5797Dresdner F 0050 0014 0190 0046 0824 0004 -3975AGF Braseg F 0044 0024 0068 0014 0810 0005 -4109HSBC F 0052 0031 0110 0021 0948 0007 -776Deutsche F 0054 0012 0166 0030 0866 0005 -2754BNP Paribas F 0049 0028 0073 0013 0818 0004 -4092Barclays F 0065 0028 0121 0027 0811 0005 -4028Rabobank Int Brasil SA F 0047 0017 0102 0017 0845 0003 -4605B Nat de Paris Brasil SA F 0036 0017 0054 0013 0819 0005 -3304Ibibank SA - Banco Multiplo F 0043 0010 0114 0025 0782 0013 -1623Dresdner Bank - B Multiplo F 0096 0015 0270 0076 0785 0007 -2924Banco Westlb Do Brasil SA F 0041 0026 0062 0013 0853 0010 -154Banco GE Capital SA F 0054 0026 0253 0049 0862 0010 -1444B Com Uruguai SA F 0070 0017 0220 0058 0849 0003 -4471S - State-owned bank N - National bank and F - Foreign bank

44

Table A8 Estimates of Lerner index and return to scale by bank - Model (3)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0034 0090 0016 0941 0008 -772Banrisul S 0051 0032 0108 0016 0938 0008 -772BEC S 0035 0018 0051 0009 0856 0009 -1562BRB S 0052 0032 0122 0018 0958 0002 -1793BB S 0052 0035 0085 0015 0951 0006 -809Caixa Economica Federal S 0054 0039 0098 0014 1015 0003 465B da Amazonia SA S 0053 0014 0113 0024 0845 0008 -1977B do Estado Do Para SA S 0049 0028 0071 0010 0947 0005 -1117B do E do Maranhao SA S 0041 0032 0059 0008 0957 0015 -285B do E do Piauı SA - Bep S 0041 0028 0086 0014 0882 0005 -2518B do Estado De Sergipe SA S 0052 0021 0145 0022 0957 0004 -1182Nossa Caixa - N Banco SA S 0045 0029 0081 0015 0971 0005 -651Bradesco N 0052 0029 0101 0021 0893 0004 -2614Itau N 0054 0025 0203 0034 0872 0003 -4328Safra N 0048 0029 0093 0015 0869 0003 -5008Unibanco N 0041 0028 0067 0010 0874 0001 -8514Mercantil Do Brasil N 0053 0026 0095 0018 0939 0002 -29BBM N 0067 0013 0250 0056 0789 0005 -4501BMC N 0038 0024 0069 0010 0849 0003 -4408BMG N 0067 0015 0233 0058 0776 0004 -6374JMalucelli N 0052 0022 0087 0016 0720 0003 -9426PEBB N 0045 0014 0158 0040 0727 0009 -3192SS N 0057 0025 0231 0046 0797 0007 -287Sofisa N 0053 0018 0116 0026 0807 0002 -8444BIC N 0059 0030 0250 0049 0850 0006 -2596Schahin N 0048 0023 0220 0038 0842 0007 -2424Stock N 0083 0017 0304 0077 0838 0006 -2873Pine N 0049 0019 0105 0020 0810 0004 -5103Socopa N 0050 0026 0111 0018 0903 0003 -3253Intercap N 0055 0020 0196 0036 0828 0006 -283Indusval N 0062 0029 0282 0052 0863 0005 -2588Bonsucesso N 0051 0017 0118 0025 0789 0006 -3771Industrial do Brasil N 0046 0025 0086 0015 0815 0002 -8341Votorantim N 0050 0027 0128 0027 0809 0007 -2664Cacique N 0037 0020 0048 0009 0781 0005 -4645Inter Amex N 0039 0026 0058 0009 0842 0006 -2468Alfa N 0044 0031 0072 0011 0801 0002 -11998Rendimento N 0049 0022 0078 0011 0885 0008 -1463Bancoob N 0066 0057 0077 0007 0854 0003 -4342Original N 0102 0019 0301 0096 0730 0006 -4526Banco Intermedium SA N 0059 0027 0083 0020 0752 0006 -4354

Table A8 ndash Continue on next page

45

Table A8 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0017 0217 0054 0776 0003 -7084Banco BBN SA N 0038 0022 0058 0010 0831 0011 -1492B Cooperativo Sicredi SA N 0047 0035 0071 0010 0879 0005 -259B Cooperativo do Brasil SA N 0046 0035 0128 0020 0919 0006 -1339Banco Topazio SA N 0075 0036 0153 0041 0855 0005 -2657Banco Gerador SA N 0091 0057 0144 0034 0869 0008 -173Banco Randon SA N 0124 0029 0332 0112 0799 0005 -4023Parana Banco SA N 0036 0021 0071 0012 0797 0008 -2452Banco Triangulo SA N 0053 0023 0115 0027 0839 0004 -4256Banco Guanabara SA N 0047 0020 0100 0019 0790 0004 -561Banco Cedula SA N 0066 0012 0362 0068 0747 0003 -10082Banco Cacique SA N 0063 0026 0231 0074 0789 0016 -1336Banco Luso Brasileiro SA N 0066 0026 0249 0053 0865 0005 -2985Banco Pecunia SA N 0034 0029 0041 0004 0784 0003 -7038Banco Zogbi SA N 0036 0027 0046 0006 0782 0002 -13399Banco Daycoval SA N 0054 0019 0131 0034 0784 0004 -607Banco John Deere SA N 0039 0015 0083 0018 0761 0003 -8316Banco AJ Renner SA N 0049 0024 0073 0013 0840 0006 -2621ABN Amro F 0041 0030 0066 0009 0890 0002 -6866Chase F 0059 0013 0173 0039 0801 0007 -2733LLoyds F 0038 0021 0055 0010 0821 0003 -5484BankBoston F 0040 0028 0063 0012 0888 0006 -1931Santander Brasil F 0056 0028 0107 0027 0866 0008 -1663Citibank F 0052 0022 0123 0023 0860 0003 -4735BNL F 0039 0028 0063 0014 0841 0005 -2966Sudameris F 0041 0036 0052 0006 0948 0011 -473Societe Generale F 0052 0020 0103 0022 0833 0006 -2579Europeu F 0038 0030 0049 0007 0856 0007 -2153ABC-Brasil F 0046 0029 0079 0014 0813 0003 -5935Dresdner F 0055 0014 0212 0052 0822 0005 -3913AGF Braseg F 0046 0027 0071 0014 0806 0005 -4276HSBC F 0053 0032 0101 0019 0949 0007 -784Deutsche F 0058 0013 0141 0029 0863 0005 -2878BNP Paribas F 0051 0030 0074 0012 0818 0004 -4118Barclays F 0066 0025 0130 0030 0805 0005 -4123Rabobank Int Brasil SA F 0049 0019 0109 0018 0844 0003 -4752B Nat de Paris Brasil SA F 0041 0019 0069 0018 0817 0005 -3368Ibibank SA - Banco Multiplo F 0046 0010 0095 0021 0781 0014 -1617Dresdner Bank - B Multiplo F 0093 0017 0282 0072 0782 0008 -2899Banco Westlb Do Brasil SA F 0044 0027 0069 0015 0850 0009 -1591Banco GE Capital SA F 0055 0026 0249 0046 0859 0009 -1489B Com Uruguai SA F 0071 0017 0228 0056 0845 0003 -46241S - State-owned bank N - National bank and F - Foreign bank

46

Table A9 Estimates of Lerner index and return to scale by bank - Model (4)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0054 0041 0078 0011 0939 0007 -873Banrisul S 0055 0040 0106 0014 0948 0008 -692BEC S 0046 0020 0072 0014 0846 0009 -1746BRB S 0057 0032 0094 0016 0959 0002 -1673BB S 0057 0038 0095 0014 0981 0006 -33Caixa Economica Federal S 0061 0049 0165 0021 1042 0003 1249B da Amazonia SA S 0056 0015 0117 0022 0844 0008 -2047B do Estado Do Para SA S 0059 0025 0103 0020 0936 0004 -1701B do E Do Maranhao SA S 0052 0044 0062 0005 0936 0014 -448B do E Do Piauı SA - Bep S 0054 0029 0147 0028 0865 0004 -3201B do Estado De Sergipe SA S 0061 0023 0168 0026 0947 0004 -1484Nossa Caixa - N Banco SA S 0054 0035 0085 0012 0977 0004 -547Bradesco N 0056 0036 0107 0017 0919 0004 -2123Itau N 0058 0030 0212 0032 0896 0003 -3979Safra N 0052 0035 0107 0013 0882 0003 -445Unibanco N 0052 0035 0082 0013 0892 0001 -7446Mercantil Do Brasil N 0057 0027 0093 0015 0942 0002 -2687BBM N 0075 0015 0294 0064 0784 0005 -4512BMC N 0050 0029 0074 0011 0846 0003 -472BMG N 0065 0016 0202 0047 0779 0003 -7192JMalucelli N 0048 0022 0071 0014 0720 0003 -8923PEBB N 0061 0016 0172 0044 0704 0008 -382SS N 0056 0033 0213 0037 0799 0007 -2875Sofisa N 0053 0020 0087 0019 0805 0002 -9731BIC N 0061 0033 0269 0048 0854 0005 -2768Schahin N 0053 0027 0205 0034 0836 0006 -2627Stock N 0081 0020 0265 0068 0820 0006 -3122Pine N 0052 0022 0118 0021 0808 0004 -5467Socopa N 0054 0026 0114 0016 0888 0003 -3785Intercap N 0057 0023 0203 0035 0815 0006 -2877Indusval N 0062 0029 0239 0043 0857 0005 -3085Bonsucesso N 0052 0019 0088 0018 0782 0005 -403Industrial do Brasil N 0050 0030 0076 0015 0809 0002 -9427Votorantim N 0051 0036 0102 0017 0817 0008 -2222Cacique N 0050 0023 0067 0013 0776 0005 -4659Inter Amex N 0052 0035 0064 0009 0837 0007 -2226Alfa N 0048 0039 0071 0007 0805 0002 -11484Rendimento N 0052 0022 0076 0013 0874 0008 -1571Bancoob N 0057 0045 0071 0011 0855 0003 -5022Original N 0094 0017 0278 0090 0730 0006 -4242Banco Intermedium SA N 0049 0027 0065 0014 0746 0006 -4054

Table A9 ndash Continue on next page

47

Table A9 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0019 0220 0050 0764 0003 -7516Banco BBN SA N 0050 0027 0072 0013 0819 0012 -1529B Cooperativo Sicredi SA N 0051 0041 0068 0006 0875 0005 -2551B Cooperativo do Brasil SA N 0053 0044 0134 0018 0910 0006 -151Banco Topazio SA N 0066 0035 0128 0036 0837 0005 -2981Banco Gerador SA N 0082 0045 0157 0043 0854 0007 -1967Banco Randon SA N 0106 0026 0312 0105 0786 0005 -4204Parana Banco SA N 0048 0025 0102 0018 0787 0008 -2768Banco Triangulo SA N 0054 0027 0088 0021 0834 0004 -427Banco Guanabara SA N 0051 0023 0161 0025 0780 0004 -5659Banco Cedula SA N 0069 0012 0360 0065 0735 0003 -1028Banco Cacique SA N 0073 0027 0240 0075 0786 0016 -1327Banco Luso Brasileiro SA N 0065 0026 0242 0047 0852 0004 -346Banco Pecunia SA N 0045 0037 0056 0006 0773 0003 -7139Banco Zogbi SA N 0048 0036 0064 0010 0779 0001 -15057Banco Daycoval SA N 0055 0022 0126 0030 0784 0004 -568Banco John Deere SA N 0056 0018 0125 0031 0757 0003 -8084Banco AJ Renner SA N 0051 0025 0077 0013 0829 0006 -2763ABN Amro F 0053 0038 0074 0013 0909 0002 -4803Chase F 0066 0014 0220 0046 0793 0008 -2711LLoyds F 0050 0026 0060 0011 0825 0003 -5323BankBoston F 0054 0038 0092 0018 0899 0006 -1734Santander Brasil F 0056 0033 0098 0019 0885 0007 -1529Citibank F 0059 0025 0145 0030 0872 0003 -421BNL F 0052 0039 0091 0018 0840 0006 -2854Sudameris F 0053 0046 0062 0005 0961 0011 -352Societe Generale F 0058 0023 0144 0028 0827 0006 -2968Europeu F 0052 0031 0069 0012 0849 0007 -23ABC-Brasil F 0051 0028 0091 0015 0815 0003 -6225Dresdner F 0078 0017 0271 0071 0816 0005 -339AGF Braseg F 0050 0030 0094 0015 0797 0004 -4873HSBC F 0057 0045 0116 0016 0966 0006 -562Deutsche F 0066 0013 0151 0034 0858 0004 -3316BNP Paribas F 0050 0036 0071 0010 0823 0005 -3772Barclays F 0057 0024 0102 0025 0777 0007 -3003Rabobank Int Brasil SA F 0057 0021 0157 0026 0842 0003 -5266B Nat de Paris Brasil SA F 0059 0023 0102 0030 0812 0006 -3387Ibibank SA - Banco Multiplo F 0056 0012 0100 0023 0781 0015 -148Dresdner Bank - B Multiplo F 0084 0016 0237 0064 0771 0008 -2798Banco Westlb Do Brasil SA F 0061 0033 0101 0025 0841 0010 -1646Banco GE Capital SA F 0063 0031 0238 0044 0853 0010 -1548B Com Uruguai SA F 0074 0020 0226 0056 0833 0003 -51921S - State-owned bank N - National bank and F - Foreign bank

48

Table A10 Estimates of Lerner index and return to scale by bank - Model (5)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0043 0093 0012 0940 0007 -834Banrisul S 0054 0041 0083 0009 0949 0008 -668BEC S 0046 0020 0075 0014 0846 0009 -1719BRB S 0058 0032 0121 0017 0960 0002 -1607BB S 0056 0037 0087 0010 0981 0006 -321Caixa Economica Federal S 0061 0050 0156 0019 1044 0003 1282B da Amazonia SA S 0057 0016 0115 0023 0843 0008 -2023B do Estado Do Para SA S 0059 0027 0102 0020 0938 0004 -1608B do E Do Maranhao SA S 0052 0042 0064 0006 0939 0015 -418B do E Do Piauı SA - Bep S 0054 0029 0138 0025 0866 0004 -3097B do Estado De Sergipe SA S 0059 0024 0136 0020 0949 0004 -1404Nossa Caixa - N Banco SA S 0055 0036 0088 0013 0979 0004 -494Bradesco N 0056 0037 0108 0016 0918 0004 -2108Itau N 0058 0031 0213 0033 0894 0003 -3968Safra N 0052 0036 0086 0010 0881 0003 -4388Unibanco N 0053 0037 0085 0013 0892 0001 -7433Mercantil Do Brasil N 0057 0027 0086 0012 0943 0002 -2619BBM N 0075 0015 0292 0063 0784 0005 -447BMC N 0050 0029 0077 0012 0846 0003 -4648BMG N 0067 0017 0220 0051 0777 0003 -7116JMalucelli N 0049 0022 0083 0016 0718 0003 -8879PEBB N 0060 0017 0176 0044 0704 0008 -3743SS N 0059 0032 0223 0041 0798 0007 -2847Sofisa N 0055 0021 0112 0022 0804 0002 -9624BIC N 0060 0032 0238 0041 0853 0005 -2725Schahin N 0055 0028 0228 0038 0836 0006 -2575Stock N 0082 0019 0267 0068 0821 0006 -3063Pine N 0052 0022 0096 0018 0808 0004 -5392Socopa N 0055 0027 0113 0016 0889 0003 -3694Intercap N 0060 0023 0210 0037 0814 0006 -2856Indusval N 0062 0029 0245 0044 0857 0005 -3023Bonsucesso N 0053 0020 0113 0022 0781 0005 -3999Industrial do Brasil N 0051 0030 0084 0016 0808 0002 -9274Votorantim N 0052 0037 0130 0022 0816 0008 -2227Cacique N 0049 0024 0065 0012 0775 0005 -4632Inter Amex N 0052 0034 0067 0011 0837 0007 -2236Alfa N 0047 0041 0056 0004 0804 0002 -11448Rendimento N 0053 0022 0079 0011 0874 0008 -1549Bancoob N 0056 0050 0064 0005 0856 0003 -4874Original N 0087 0018 0288 0093 0728 0006 -4259Banco Intermedium SA N 0055 0027 0078 0019 0744 0006 -4047

Table A10 ndash Continue on next page

49

Table A10 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0217 0048 0763 0003 -7417Banco BBN SA N 0051 0026 0075 0014 0820 0012 -1504B Cooperativo Sicredi SA N 0051 0040 0061 0005 0876 0005 -2499B Cooperativo do Brasil SA N 0054 0043 0136 0019 0912 0006 -1445Banco Topazio SA N 0061 0034 0109 0026 0838 0006 -2897Banco Gerador SA N 0073 0052 0124 0026 0855 0008 -1918Banco Randon SA N 0120 0024 0327 0114 0785 0005 -4153Parana Banco SA N 0048 0026 0106 0020 0786 0008 -2732Banco Triangulo SA N 0055 0027 0111 0022 0834 0004 -4227Banco Guanabara SA N 0052 0024 0153 0024 0779 0004 -5589Banco Cedula SA N 0069 0012 0339 0062 0734 0003 -10232Banco Cacique SA N 0076 0027 0246 0076 0785 0016 -1317Banco Luso Brasileiro SA N 0067 0027 0207 0047 0852 0004 -3379Banco Pecunia SA N 0046 0038 0054 0006 0773 0003 -71Banco Zogbi SA N 0047 0037 0061 0010 0778 0001 -14931Banco Daycoval SA N 0054 0022 0126 0026 0782 0004 -5661Banco John Deere SA N 0056 0018 0129 0031 0756 0003 -8043Banco AJ Renner SA N 0053 0025 0080 0015 0829 0006 -2716ABN Amro F 0053 0038 0074 0012 0908 0002 -4751Chase F 0067 0014 0225 0047 0792 0008 -2693LLoyds F 0049 0025 0064 0012 0824 0003 -5227BankBoston F 0054 0037 0096 0020 0899 0006 -1701Santander Brasil F 0057 0033 0103 0019 0884 0008 -1511Citibank F 0059 0026 0154 0028 0871 0003 -4204BNL F 0052 0037 0097 0020 0840 0006 -28Sudameris F 0052 0045 0058 0005 0962 0011 -334Societe Generale F 0060 0023 0151 0031 0827 0006 -2924Europeu F 0050 0032 0066 0012 0849 0007 -2263ABC-Brasil F 0051 0025 0079 0014 0814 0003 -617Dresdner F 0080 0017 0276 0073 0816 0005 -3374AGF Braseg F 0050 0031 0093 0015 0796 0004 -4812HSBC F 0057 0043 0093 0011 0966 0006 -541Deutsche F 0066 0013 0155 0035 0858 0004 -3244BNP Paribas F 0050 0035 0067 0008 0822 0005 -3775Barclays F 0056 0024 0113 0025 0778 0007 -305Rabobank Int Brasil SA F 0057 0021 0163 0027 0842 0003 -5208B Nat de Paris Brasil SA F 0058 0022 0100 0029 0812 0006 -3343Ibibank SA - Banco Multiplo F 0057 0012 0099 0023 0780 0015 -1478Dresdner Bank - B Multiplo F 0087 0016 0244 0068 0770 0008 -2768Banco Westlb Do Brasil SA F 0063 0034 0106 0026 0841 0010 -1625Banco GE Capital SA F 0064 0032 0247 0046 0853 0010 -1522B Com Uruguai SA F 0073 0019 0191 0049 0833 0003 -50981S - State-owned bank N - National bank and F - Foreign bank

50

Table A11 Estimates of Lerner index and return to scale by bank - Model (6)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0036 0096 0015 0939 0007 -855Banrisul S 0050 0035 0098 0014 0938 0008 -82BEC S 0041 0019 0067 0012 0855 0009 -1644BRB S 0053 0029 0124 0018 0956 0002 -1996BB S 0051 0032 0088 0013 0954 0006 -807Caixa Economica Federal S 0054 0040 0094 0012 1014 0003 475B da Amazonia SA S 0053 0015 0103 0022 0846 0008 -205B do Estado Do Para SA S 0051 0028 0074 0013 0943 0004 -1319B do E Do Maranhao SA S 0041 0031 0059 0008 0950 0014 -346B do E Do Piauı SA - Bep S 0042 0028 0084 0012 0879 0004 -2727B do Estado De Sergipe SA S 0052 0022 0153 0022 0953 0003 -1377Nossa Caixa - N Banco SA S 0047 0032 0081 0014 0969 0004 -74Bradesco N 0052 0032 0097 0019 0898 0004 -2645Itau N 0054 0027 0190 0031 0877 0003 -4452Safra N 0049 0032 0100 0015 0872 0003 -5056Unibanco N 0043 0032 0067 0010 0878 0001 -8666Mercantil Do Brasil N 0053 0026 0087 0017 0938 0002 -3104BBM N 0066 0013 0251 0056 0792 0005 -4556BMC N 0041 0026 0069 0011 0850 0003 -4582BMG N 0067 0016 0228 0057 0781 0003 -6611JMalucelli N 0051 0022 0089 0017 0725 0003 -9344PEBB N 0046 0015 0157 0039 0728 0008 -3313SS N 0058 0025 0230 0046 0801 0007 -292Sofisa N 0053 0020 0119 0025 0809 0002 -8846BIC N 0060 0029 0262 0049 0852 0005 -2697Schahin N 0049 0025 0229 0040 0843 0006 -2523Stock N 0081 0017 0284 0072 0836 0005 -2986Pine N 0049 0021 0112 0019 0812 0004 -5267Socopa N 0050 0026 0095 0015 0900 0003 -3515Intercap N 0055 0021 0196 0035 0828 0006 -2899Indusval N 0061 0029 0262 0049 0863 0005 -2762Bonsucesso N 0052 0019 0123 0026 0791 0005 -3885Industrial do Brasil N 0046 0027 0088 0015 0816 0002 -8698Votorantim N 0051 0027 0139 0027 0813 0007 -262Cacique N 0039 0022 0050 0009 0784 0005 -4707Inter Amex N 0045 0027 0064 0012 0843 0006 -2493Alfa N 0044 0033 0068 0009 0805 0002 -12111Rendimento N 0050 0022 0073 0010 0883 0008 -1543Bancoob N 0066 0055 0072 0007 0856 0003 -4559Original N 0098 0020 0294 0094 0735 0006 -4509Banco Intermedium SA N 0057 0024 0085 0022 0756 0006 -4324

Table A11 ndash Continue on next page

51

Table A11 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0061 0017 0195 0048 0777 0003 -7233Banco BBN SA N 0042 0023 0059 0012 0831 0011 -1529B Cooperativo Sicredi SA N 0048 0035 0066 0009 0879 0005 -2672B Cooperativo do Brasil SA N 0046 0034 0119 0017 0917 0006 -1439Banco Topazio SA N 0070 0031 0129 0036 0853 0005 -2776Banco Gerador SA N 0086 0057 0148 0034 0867 0007 -1825Banco Randon SA N 0126 0028 0331 0114 0799 0005 -4136Parana Banco SA N 0039 0023 0082 0015 0798 0008 -2556Banco Triangulo SA N 0052 0025 0116 0025 0840 0004 -4363Banco Guanabara SA N 0048 0021 0100 0019 0792 0004 -5683Banco Cedula SA N 0067 0013 0356 0067 0749 0002 -10205Banco Cacique SA N 0067 0026 0232 0073 0792 0015 -1356Banco Luso Brasileiro SA N 0065 0025 0237 0052 0864 0004 -3163Banco Pecunia SA N 0037 0029 0045 0006 0786 0003 -7158Banco Zogbi SA N 0037 0027 0045 0007 0785 0002 -13921Banco Daycoval SA N 0053 0020 0120 0031 0787 0003 -6088Banco John Deere SA N 0043 0017 0099 0022 0764 0003 -8346Banco AJ Renner SA N 0050 0025 0080 0013 0840 0006 -2706ABN Amro F 0043 0035 0067 0008 0894 0002 -6685Chase F 0059 0014 0189 0040 0803 0007 -2772LLoyds F 0039 0021 0055 0012 0824 0003 -5536BankBoston F 0044 0029 0075 0015 0890 0006 -1965Santander Brasil F 0054 0028 0107 0024 0871 0008 -1694Citibank F 0054 0023 0133 0026 0863 0003 -4787BNL F 0042 0028 0078 0018 0843 0005 -2998Sudameris F 0041 0036 0052 0006 0948 0010 -491Societe Generale F 0054 0020 0118 0025 0834 0006 -2716Europeu F 0038 0029 0049 0008 0856 0006 -2239ABC-Brasil F 0046 0028 0084 0014 0816 0003 -6111Dresdner F 0063 0015 0239 0061 0823 0005 -3888AGF Braseg F 0047 0027 0074 0014 0807 0004 -4477HSBC F 0054 0032 0109 0018 0950 0006 -823Deutsche F 0058 0013 0122 0028 0863 0004 -305BNP Paribas F 0051 0032 0070 0011 0822 0004 -4145Barclays F 0064 0024 0128 0029 0802 0005 -4051Rabobank Int Brasil SA F 0051 0019 0130 0021 0846 0003 -4992B Nat de Paris Brasil SA F 0043 0019 0070 0019 0819 0005 -3429Ibibank SA - Banco Multiplo F 0049 0010 0083 0020 0785 0013 -161Dresdner Bank - B Multiplo F 0087 0016 0261 0066 0783 0007 -2901Banco Westlb Do Brasil SA F 0051 0030 0082 0019 0850 0009 -1643Banco GE Capital SA F 0053 0028 0239 0044 0859 0009 -1544B Com Uruguai SA F 0071 0017 0217 0054 0845 0003 -48451S - State-owned bank N - National bank and F - Foreign bank

52

Seacuterie de Textos para Discussatildeo do Curso de Ciecircncias Econocircmicas ndash FACEUFG ndash TD [078]

EDITORIAL FACE ndash Faculdade de Administraccedilatildeo Ciecircncias Contaacutebeis e Ciecircncias Econocircmicas Curso de Ciecircncias Econocircmicas Direccedilatildeo FACE Prof Moiseacutes Ferreira da Cunha Vice-Direccedilatildeo FACE Profordf Andreacutea Freire de Lucena Coordenaccedilatildeo do Curso de Ciecircncias Econocircmicas Prof Tiago Camarinha Lopes NEPEC ndash Nuacutecleo de Estudos e Pesquisas Econocircmicas Coordenaccedilatildeo Prof Seacutergio Fornazier Meyrelles Filho SEacuteRIE DE TEXTOS PARA DISCUSSAtildeO DO CURSO DE CIEcircNCIAS ECONOcircMICAS DA UFG Coordenaccedilatildeo e Equipe de Editoraccedilatildeo Prof Sandro Eduardo Monsueto Adriana Moura Guimaratildees Matheus Henrique de Arauacutejo Dutra

Endereccedilo Campus Samambaia Preacutedio da FACE ndash Rodovia GoiacircniaNova Veneza km 0 ndash CEP 74690-900 Goiacircnia ndash GO Tel (62) 3521 ndash 1390 URL httpwwwfaceufgbreconomia Publicaccedilatildeo cujo objetivo eacute divulgar resultados de estudos que contam com a participaccedilatildeo de pesquisadores do NEPEC As opiniotildees contidas nesta publicaccedilatildeo satildeo de inteira responsabilidade do(s) autor(es) natildeo representando necessariamente o ponto de vista do NEPEC ou da FACEUFG Eacute permitida a reproduccedilatildeo desde que citada a fonte

Page 18: 1(3(& )$&( 8)* · The Dark Side of Prudential MeasuresI Paulo R. Scalco a, Benjamin M. Tabak1, Anderson M. Teixeira aFaculty of Management, Accounting and Economics, Federal University

for a compulsory deposit with the BCB of demand deposits of financial institutions Capital

buffer serves as a buffer against countercyclical capital whose purpose is to protect the

banking sector in periods of excessive credit growth which is associated with increased

systemic risk On the other hand in periods of credit constraint the buffering capital may

decrease and thus not affecting the performance of the real side of the economy

The interbank exposure limit is a liability limiter maintained by the banking sector as a

whole or by a particular bank By the concentration limit we mean a procedure that limits

the fraction of assets concentrated to a limited number of borrowers

Loan-to-value is a restriction to the borrower or activity It is the imposition of maximum

amounts of loans on the value of collateral or even maximum amounts of indebtedness to the

income of the borrower Finally we can interpret a reserve requirement as an instrument

whose purpose is to limit the multiplication of money in the economy through the imposition

of compulsory deposits with the Central Bank

The prudential capital buffer instrument was broken down into the following categories

general capital requirement real estate credit consumer credit and others We decompose

the reserve requirement instrument into two sub-indices local domestic currency and foreign

currency

Information on intensity and change in prudential tooling is collected as follows by the

researchers If the financial regulator tightens the instrument in question in a specific quarter

the index assumes a value of +1 On the other hand if the same instrument undergoes

relaxation or loosening the value of minus1

Finally the index receives a value of zero if there was no change in the prudential

instrument in that quarter4 According to Cerutti et al (2016) in addition to capturing the

intensity of change in such a prudential policy this type of coding incorporates qualitative

characteristics of the policy that are lost by the type of dichotomous coding (1 if implemented

and 0 otherwise) Despite the simplicity of the coding used it is imperfectly able to measure

direction in policy change Not all the instruments available on the original basis were used

4For more details on how the base was built see Cerutti et al (2016)

16

because some measures were not implemented by the BCB Examples are the capital buffer

for real estate credit the concentration limit of banks to sectors or borrowers and the limit

on interbank exposure

Moreover due to the low variability in most measures and the semi-annual structure

of the database obtained in the BCB we chose to use the cumulative indexes of variation

According to Cerutti et al (2016) the purpose of this cumulative index is to capture the

level of tightness or looseness over a given period Finally to capture an overall measure of

prudential instruments we aggregate all variations of prudential instruments into a single

aggregate instrument called cumulative prudential Table A5 attached illustrates the

change and the intensity of the prudential instruments implemented by Brazil according to

the data collected by Cerutti et al (2016)

Our empirical strategy consists in estimating the equation 16 by Maximum Likelihood in

a two-stage procedure wherein the first stage we obtain the estimates of the parameters of

the equation and in the second stage we calculate the estimates of uit using the conditional

mean estimator of Jondrow et al (1982)

After obtaining the estimates of u and RC equiv EY we use equation 20 to calculate the

estimated values of θ which are used to calculat e the Lerner Index (L) according to

equation 21

We estimated six models wif different sets of deterministic variables (prudential measures)

to control the parameter of market power (uit) In the first model we did not add any

controls In the second we include only the HHI In the third specification we include the

capital buffer and capital requirement The fourth model uses only the loan-to-value In the

fifth model we include reserve requirements in both foreign and local currency and in the

last model we include the cumulative prudential measure which is the sum of the changes

in all other prudential measures

The inclusion of prudential variables in a separated way was necessary because they

represent only the tightening or the loosening of the prudential instrument Therefore they

do not represent the change in the magnitude of the prudential instrument As such the

variables have little variability and the high correlation generated between them causes

17

severe problems in the estimation process by maximum likelihood In general the tests with

the aggregate models did not reach the convergence of likelihood function even using different

strategies for initial values or optimization algorithm and when the optimization reaches an

optimal state the estimates were inconsistent For this reason we chose to estimate simpler

models including prudential variables separately or at most two when they represented

similar measures

Besides two critical events occurred in the second half of 2008 and significantly changed

the structure and dynamics of the banking industry in Brazil The outbreak of the subprime

crisis in the US and the acquisition of Unibanco by Itau in Brazil5 Itau-Unibanco has become

the largest bank in Brazil (Itau-Unibanco) accounting for 191 of total SFN assets and

184 of the total loan portfolio in the second half of 2008

We can observe the increase in market concentration in Figure 1 which represents HHI

concentration indices for total assets and total credit portfolio The increase in concentra-

tion levels of the banking industry on the other hand also coincides temporarily with the

outbreak of the GFC and an increase in rigidity in prudential instruments after the onset of

the crisis6

These events result in a high correlation between the variables and making it more

difficult to isolate the effects of each variable on the parameter of market power In this

way we also chose to estimate an HHI-only model as the control variable of market power

(uit)

Figure 1 Evolution of the Herfindahl Index (HHI) over time using credit and total assets

for the Brazilian banking system

We summarize the description of the variables that we will use in the estimation of

5Unibanco was the sixth largest Brazilian bank in the first half of 2008 accounting for 59 of total SFNassets and 6 of the total loan portfolio Also Itau was the third largest bank with 118 of SFN and119 of the loan portfolio

6Cubillas amp Suarez (2018) find the same result as the banksrsquo market power increased shortly after theGFC

18

equation 16 and how we calculate them in Table 1 All variables included in equation 16

except for trend prudential variables an HHI are in the logarithms form

Table 1 Variables used to IDF estimatation

5 Empirical Results

We present the results of the models in Table 2 Initially focusing on the interpretation

of the parameters of the input-distance function we verified that the size of the IF credit

portfolio (lnY ) has a negative sign but it was significant only for models 1 4 and 5 This

result implies that the larger the portfolio size the lower the revenue-cost ratio of the FI

Table 2 Results of IDF estimation

The coefficients of Staff costs (lnx1) and volume of funding (lnx2) were also negative

and significant in all models Thus the higher the staff costs and the higher the funding

volume the lower the cost-to-cost ratio of the FIs The trend variable as established by

equation 23 represents the scale bias and the negative sign would indicate that technological

change would increase economies of scale over time however no estimate was significant

51 Impact of Prudential Measures on Mark-up

The evaluation of the variables that determine the mark-up parameter (u) shows that

all of them are statistically significant and positive The SFA model is not linear in these

parameters Therefore the value of the coefficients does not represent the effect of the

magnitude of changes in the variables on the mark-up (their elasticities) However we can

estimate their marginal effects We present them for each variable in Figure 2

19

Figure 2 Marginal effects of HHI and prudential instruments (Capital Buffer Capital

RequirementLTV Reserve Requirement (Foreign) Reserve Requirement (domestic) and

cumulative prud) on themark-upucomponent

The positive sign of HHI in model 2 means that the more concentrated the banking

industry is the higher the market power of FIs This result is in line with that established by

the traditional structure-conduct-performance paradigm (Schmalensee 1989) However as

can be seen in Figure 1 the increase in the concentration index coincides with the tightening

of the prudential measures stemming from the GFC In this sense we can not say whether

this is the real effect of the increase in market concentration on the market power of FIs or

whether it is affected by the tightening of prudential measures

If we focus on prudential instruments the results for capital buffers and the capital

requirement (model 3) indicate that a tightening in these variables - whose purpose is to

increase banksrsquo capital reserve during positive shocks in the economy - has a detrimental

effect on competition market since they raise the IF mark-ups This effect happens because

this prudential measure influences the smoothing of the credit supply cycle

The same results are present for the loan-to-value variable (model 4) In general this

measure sets limits on the leverage of mortgages and other securities and a tightening in

ltv is effective in controlling possible booms in the real estate market by reducing real estate

prices and ultimately reducing the excess volatility of the economy ((Zhang amp Zoli 2016

Ely et al 2019) According to the result found the higher the limits the greater the market

power of the FIs

With respect to reserve requirements both in foreign and local currency - credit limits

directly in foreign currency and domestic currency respectively - the results (model 5) also

demonstrate a detrimental effect on competition since the tightening in such measures also

implies an increase mark-up of IFs In the model 6 where we introduce the aggregate

prudential measure the result found is similar to the others that is the higher the tightness

(in general) in the prudential measures of the financial system the higher the market power

of FIs

20

Unfortunately since prudential variables represent only a measure of tightening or loos-

ening of prudential policy and not its magnitude we can not accurately assess the impact

of these variables on the mark-up The marginal effects represented in Figure 2 give us only

an idea of how such variables affected the estimated mark-ups

However in general we can say that the positive signs of the estimates mean that the

higher the tightness in these prudential policies the greater the mark-up and consequently

the higher the market power of the FIs Therefore we find a perverse effect on industry

competition and probably a loss of borrowers welfare

Our results are in accordance with the evidence that the increase in prudential rigor has

negative impacts mainly on the supply of credit (Lim et al 2011 Claessens 2015 Aiyar

et al 2014 Gropp et al 2018 Cerutti et al 2017a) Ceteris paribus the increase of IF

mark-ups would be a fully expected effect As highlighted by Claessens amp Laeven (2004) any

policy that restricts the activity of banks and hinders their operation has negative impacts

on market competition

52 Estimation of Lerner indices

Regarding the mark-up estimation the values reported at the bottom of Table 2 corre-

spond to the distance between the observed revenue-cost ratio and its competitive boundary

that is the component u

To interpret the mark-up however we will focus the discussion on the estimates of

Lerner index (equation 21) because they have a more unambiguous economic meaning We

summarize the results of Lerner index for general estimates by type of control and for each

model in Table 3 and the Figure 3 shows their frequency distributions We should emphasize

that these estimates are individuals that is we obtain the estimates for each IF and at each

period t The tables in Annex (A6 to A11) summarizes the estimates of the Lerner index

and the returns to scale for each IF in the sample

Table 3 Estimates of Lerner index general and by type of control

21

Figure 3 Frequency distribution of Lerner indexes for each model and density estimation

Kernel by typeof control

For all six models all mark-up estimates were within the theoretical range of 0 and 1

with the minimum value being 0009 (model 2) and the maximum value 0362 (model 3) In

general the estimated average value was between 0051 (model 2) and 0058 (models 1 and

5) which means that on average Brazilian banks have a mark-up between 51 and 58

These values are slightly different when we separate the estimates by type of control

In the case of state-owned banks the average mark-up was between 0047 (model 2)

and 0057 (model 1) These values are lower in all the estimated models to the values

of (privates) national banks (0052-0057) and foreign banks (0050-0061) However the

medians of estimated values for state-owned banks were higher than the national and foreign

private banks in all models

For comparison purposes these values are considerably lower than the value (016) esti-

mated for Brazil in Coccorese (2014) We believe that this difference is due to the model and

sample used Coccorese (2014) has estimated the dual version of model (equation 5) and

as highlighted by Kumbhakar et al (2012) the use of accounting information to calculate

input prices can generate problems when they are endogenous

Regarding the sample Coccorese (2014) also used a different period from ours (1994 to

2012) and a more significant number of IFs in the sample (189 against 83 used by us) The

main difference here is in the number of IF - 106 in total In this respect it is essential to

note that these FIs constitute small FIs and in the second half of 2014 they held only 37

of total SFN assets and 24 of the total credit portfolio

We tried to replicated the Coccoresersquo sample but in preliminary tests we have found great

difficulties in the models estimations in particular at convergence of likelihood function

We observed these small IFs had in several situations extremely high values for the revenue-

cost ratio or excessively low for the inputs used (personnel expenses and funding) as well

as other problems such as launch errors (positive values in variables of expenditure for

example) and missings For these reasons and considering that such IFs represented only a

22

small fraction of Brazilian credit market we decided to exclude them from the sample

However It is worth highlight as they are small FIs the vast majority operate in particular

segments of the credit market and probably assume a more risk-taking behavior Considering

that they will work with a segment of credit claimants with rdquoworse scoresrdquo than borrowers

using large FIs we expect that the mark-up of these IFs will be higher We can observe

(part of) this phenomenon in Figure 4 where we represent the estimates of the Lerner index

(vertical axis) against market share of total assets (horizontal axis) of our sample and it is

quite evident the smaller banks have the higher mark-ups Therefore as our sample exclude

a large proportion of these small IFs it is natural that Coccorese (2014)rsquo results larger than

ours

Figure 4 Lerner indexes according to the size (market share) of banksrsquo assets

Regardless of this our results seem to adhere well to reality because if we look at Figure

5 we note that the Lerner indices show a significant increase from the second semester of

2008 These results are in agreement with the results of Cubillas amp Suarez (2018) Besides

in Figure 6 Lerner indexes are separated by type of control and we can observe that with

some exceptions the market power has always been lower for state-owned banks especially

considering the period after the GFC

Figure 5 Average Lerner indices for each model between 2000q2 and 2014q4

Figure 6 Average Lerner indices estimated for public private national and private

foreign banks between2000q2 and 2014q4

23

53 Estimation of Returns to Scale

Finally Table 4 and Figure 7 summarize the estimates of returns to scale We highlight

that the average of the returns to the scale of the Brazilian FIs is very close if we comparer

the six estimated models (between 0848 and 0851) Although the values are close to unity

in all IFs we reject the hypotheses of constant returns to the scale that is RTS = 1 therefore

IFs have diseconomies of scale

Table 4 Estimates of returns to scale by control type and general

When we separate estimates by type of control the estimates of state-owned banks

(0937-0944) are higher than national (0824-0829) and foreign banks (0841-0844) This

result means that the scale problem is a problem common to all FIs in Brazil Moreover

state-owned banks runs closer to the constant return region than national and foreign banks

Figure 7 Frequency distribution of the returns to scale indexes for each model and

density estimationKernel by type of control

6 Final Considerations

Considering that the banking industry underwent a significant restructuring in recent

years caused by several mergers and acquisitions in the sector as well as by a severe financial

crisis started in mid 2007 and potentialized in 2008 understand the behavior of market

power and as a (partial) set of prudential instruments influencing this dynamic has become

paramount Thus in an innovative way this paper proposed the use of stochastic frontier

analysis techniques to measure market power for the Brazilian banking industry and to test

if such prudential measures had an impact on the competitive dynamics of sector

The estimated average Lerner index was between 51 and 58 for Brazilian FIs How-

ever when controlled by the type of control we find that state-owned banks have slightly

24

lower estimates than national and foreign banks respectively Also estimates of returns to

scale allow us to infer that FIs operate with diseconomies of scale

Concerning the impact of prudential measures on the market power of FIs our results

generally suggest that tightening of prudential measures have a positive impact on bank

mark-up and consequently have detrimental effects on competition in industry banking

Finally in future research it will be possible to better understand the influence of some

prudential measures in the banking market through the study by type of segment or line of

credit

25

References

Aiyar S Calomiris C W amp Wieladek T (2014) Does macro-prudential regulation leak ev-

idence from a uk policy experiment Journal of Money Credit and Banking 46 181ndash214

URL httpsonlinelibrarywileycomdoiabs101111jmcb12086 doi101111jmcb12086

arXivhttpsonlinelibrarywileycomdoipdf101111jmcb12086

Altunbas Y Binici M amp Gambacorta L (2018) Macroprudential policy and bank risk Journal of

International Money and Finance 81 203ndash220 doihttpsdoiorg101016jjimonfin201711

012

Araujo L A D d amp Jorge Neto P d M (2007) Risco e competicao bancaria no Brasil Revista Brasileira

de Economia 61 175ndash200 URL httpwwwscielobrscielophpscript=sci_abstractamppid=

S0034-71402007000200003amplng=enampnrm=isoamptlng=pt doi101590S0034-71402007000200003

Auer R amp Ongena S (2019) The countercyclical capital buffer and the composition of bank lending

Available at SSRN 3345189

Ayyagari M Beck T amp Peria M (2018) The micro impact of macroprudential policies Firm-level

evidence IMF Working Paper

Barbosa K de Paula Rocha B amp Salazar F (2015) Assessing competition in the banking indus-

try A multi-product approach Journal of Banking amp Finance 50 340ndash362 URL httpwww

sciencedirectcomsciencearticlepiiS0378426614001642 doi101016jjbankfin201405

003

Belaisch A (2003) Do Brazilian Banks Compete SSRN Scholarly Paper ID 879189 Social Science Research

Network Rochester NY URL httpspapersssrncomabstract=879189

Bikker J A Shaffer S amp Spierdijk L K (2012) Assessing competition with the panzar-rosse model

The role of scale costs and equilibrium Economics Letters 94 1025ndash1044

Bresnahan T F (1982) The oligopoly solution concept is identified Economics Letters 10 87ndash92 URL

httpdxdoiorg1010160165-1765(82)90121-5 doi1010160165-1765(82)90121-5

Bresnahan T F amp Reiss P (1991) Entry and competition in concentrated markets Journal of Political

Economy 99 977ndash1009

Camors C amp Peydro J (2014) Macroprudential and monetary policy Loan-level evidence from reserve

requirement Mimeo Universitat Pompeu Fabra URL httpspdfssemanticscholarorgd508

61639bb4e7453a7a39184edf9b0c1e7016a6pdf

Cardoso M Azevedo P F amp Barbosa K (2016) Concorrencia no setor bancario brasileiro bancos

individuais versus conglomerados bancarios (pp 113ndash146) URL httprepositorioipeagovbr

handle110586650

Cerutti E Claessens S amp Laeven L (2017a) The use and effectiveness of macroprudential policies New

26

evidence Journal of Financial Stability 28 203ndash224 doihttpsdoiorg101016jjfs201510

004

Cerutti E Correa R Fiorentino E amp Segalla E (2016) Changes in prudential policy instruments ndash a

new cross-country database IMF Working Paper WP1610

Cerutti E Dagher J amp DellrsquoAriccia G (2017b) Housing finance and real-estate booms A cross-country

perspective Journal of Housing Economics 38 1ndash13

Claessens S (2015) An overview of macroprudential policy tools Annual Re-

view of Financial Economics 7 397ndash422 URL httpsdoiorg101146

annurev-financial-111914-041807 doi101146annurev-financial-111914-041807

arXivhttpsdoiorg101146annurev-financial-111914-041807

Claessens S Ghosh S R amp Mihet R (2013) Macro-prudential policies to mitigate financial system

vulnerabilities Journal of International Money and Finance 39 153ndash185 doihttpsdoiorg10

1016jjimonfin201306023

Claessens S amp Laeven L (2004) What drives bank competition some international evidence Journal

of Money Credit and Banking 36 563ndash583 URL httpwwwjstororgstable3838954

Coccorese P (2014) Estimating the Lerner index for the banking industry a stochastic frontier approach

Applied Financial Economics 24 73ndash88 URL httpdxdoiorg101080096031072013866202

doi101080096031072013866202

Coelho C A De Mello J M amp Rezende L (2013) Do Public Banks Compete with Private

Banks Evidence from Concentrated Local Markets in Brazil Journal of Money Credit and Bank-

ing 45 1581ndash1615 URL httponlinelibrarywileycomdoi101111jmcb12063abstract

doi101111jmcb12063

Cubillas E amp Suarez N (2018) Bank market power and lending during the global financial crisis Jour-

nal of International Money and Finance 89 1ndash22 URL httpwwwsciencedirectcomscience

articlepiiS0261560618303048 doihttpsdoiorg101016jjimonfin201808003

Das A amp Kumbhakar S C (2016) Markup and efficiency of Indian banks an input distance func-

tion approach Empirical Economics (pp 1ndash31) URL httplinkspringercomarticle101007

s00181-015-1062-4 doi101007s00181-015-1062-4

Ely R Tabak B amp Teixeira A (2019) Heterogeneous effects of the implementation of macroprudential

policies on bank risk MPRA Paper No94546

Freixas X Laeven L amp Peydro J-L (2015) Systemic Risk Crises and Macroprudential Regulation

Mit Press URL httpwwwjstororgstablejctt17kk82g

Galati G amp Moessner R (2013) Macroprudential policy ndash a literature review Jour-

nal of Economic Surveys 27 846ndash878 URL httpsonlinelibrarywileycom

27

doiabs101111j1467-6419201200729x doi101111j1467-6419201200729x

arXivhttpsonlinelibrarywileycomdoipdf101111j1467-6419201200729x

Gropp R Mosk T Ongena S amp Wix C (2018) Banks Response to Higher Cap-

ital Requirements Evidence from a Quasi-Natural Experiment The Review of Finan-

cial Studies 32 266ndash299 URL httpsdoiorg101093rfshhy052 doi101093rfshhy052

arXivhttpoupprodsislanrfsarticle-pdf32126627185080hhy052pdf

Hyde C E amp Perloff J M (1995) Can market power be estimated Review of Industrial Organization 10

465ndash485 URL httplinkspringercomarticle101007BF01024231 doi101007BF01024231

Igan D amp Kang H (2011) Do loan-to-value and debt-to-income limits work evidence from korea IMF

Working Papers (pp 1ndash34)

Jimenez G Ongena S Peydro J-L amp Saurina J (2017) Macroprudential policy countercyclical bank

capital buffers and credit supply Evidence from the spanish dynamic provisioning experiments Journal

of Political Economy 125 2126ndash2177 URL httpsdoiorg101086694289 doi101086694289

arXivhttpsdoiorg101086694289

Jondrow J Knox Lovell C A Materov I S amp Schmidt P (1982) On the estimation of technical

inefficiency in the stochastic frontier production function model Journal of Econometrics 19 233ndash

238 URL httpwwwsciencedirectcomsciencearticlepii0304407682900045 doi101016

0304-4076(82)90004-5

Klingelhoger J amp Sun R (2019) Macruprudential policy central banks and financial stability Evidence

from china Journal of International Money and Finance 93 19ndash41 URL httpsdoiorg101016

jjimonfin201812015

Kumbhakar S C (2012) Specification and estimation of primal production models European Journal

of Operational Research 217 509ndash518 URL httpwwwsciencedirectcomsciencearticlepii

S0377221711008939 doi101016jejor201109043

Kumbhakar S C Baardsen S amp Lien G (2012) A New Method for Estimating Market Power with

an Application to Norwegian Sawmilling Review of Industrial Organization 40 109ndash129 URL http

linkspringercomarticle101007s11151-012-9339-7 doi101007s11151-012-9339-7

Lerner A P (1934) The Concept of Monopoly and the Measurement of Monopoly Power The Review

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2967480 doi1023072967480

Lim C H Costa A Columba F Kongsamut P Otani A Saiyid M Wezel T amp Wu X (2011)

Macroprudential policy what instruments and how to use them lessons from country experiences IMF

working papers (pp 1ndash85)

Lopez R A He X amp Azzam A (2018) Stochastic frontier estimation of market

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power in the food industries Journal of Agricultural Economics 69 3ndash17 URL https

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Lucinda C R (2010) Competition in the Brazilian loan market an empirical analysis Estudos Economicos

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S0101-41612010000400004amplng=enampnrm=isoamptlng=en doi101590S0101-41612010000400004

Moreno R (2011) Policymaking from arsquomacroprudentialrsquoperspective in emerging market economies

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experience and cross-country evidence

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Economics 42 33ndash52

29

Figure 1 Evolution of the Herfindahl Index (HHI) over time using credit and total assets for theBrazilian banking system

30

Figure 2 Marginal effects of HHI and prudential instruments (Capital Buffer Capital RequirementLTV Reserve Requirement (Foreign) Reserve Requirement (domestic) and cumulative prud) on the

mark-up u component

31

Figure 3 Frequency distribution of Lerner indexes for each model and density estimation Kernel by typeof control

32

Figure 4 Lerner indexes according to the size (market share) of banksrsquo assets

33

Figure 5 Average Lerner indices for each model between 2000q2 and 2014q4

34

Figure 6 Average Lerner indices estimated for public private national and private foreign banks between2000q2 and 2014q4

35

Figure 7 Frequency distribution of the returns to scale indexes for each model and density estimationKernel by type of control

36

Table 1 Variables used to IDF estimatation

Variabel Description SourceBasic variables

TR Total Revenue = Gross Insterest Income (a) + Bank-ing Service Fee Income (d1) + Banking Fee Income(d2) + Other Operating Income (d7)

Inc statIFData

TC Total Cost = Interest Expenses (b) + Personnel Ex-penses (d3) + Administrative Expenses (d4) + TaxExpenses (d5) + Other Operating Expenses (d8)

Inc statIFData

Y Loan Lease and Other Credit Operations by RiskLevel

SummaryIFData

x1 Personnel Expenses (d3) Inc statIFDatax2 Funding (e) LiabilitiesIFDatax3 Equity (j) LiabilitiesIFData

Model variabelslnRC Log of Revenue-Cost ratiolnY Log of total loanlnx1 Log of personnel expenses and equity ratio (x1x3)lnx2 Log of funding and equity ratio (x2x3)T Time

Prudential variables - Deterministic mark-up parametersHHIt HHIt =

sumS2it where Sit

2 is market share of totalasset of bank i on time t

Inc statIFData

cb cumulative change of capital buffer Cerutti et al (2016)cr cumulative change of capital requirement Cerutti et al (2016)ltv cumulative change of loan-to-value Cerutti et al (2016)

rr foreign cumulative change of reserve requirement (foreigncurrency)

Cerutti et al (2016)

rr local cumulative change of reserve requirement (domesticcurrency)

Cerutti et al (2016)

37

Table 2 Results of IDF estimation

Parameters VariablesEstimates

Model Model Model Model Model Model(1) (2) (3) (4) (5) (6)

Parametros da funcao insumo distanciaαY Y lnY -0013 -0003 -0004 -0012 -0011 -0005

(000) (000) (000) (000) (000) (000)α1Y lnx1 -0096 -0095 -0094 -0094 -0096 -0090

(001) (001) (001) (001) (001) (001)α2Y lnx2 -0019 -0022 -0022 -0019 -0020 -0021

(001) (001) (001) (001) (001) (001)αY T T -0000 -0000 -0000 -0000 -0000 -0000

(000) (000) (000) (000) (000) (000)αY const 1153 1010 1035 1134 1129 1057

(005) (007) (005) (005) (005) (006)

Deterministic Mark-up parametersδ1 HHI 764157

(12270)δ1 Capital

Buffer7586(065)

δ2 CapitalReq

4696(160)

δ1 Loan-to-value38511(671)

δ1 ResR(foreign)10730(433)

δ2 ResR(local)2869(126)

δ1 Cum Prud3237(020)

δ0 const minus10601minus10194minus5306 minus9866 minus8577 minus4993(032) (2064) (316) (079) (119) (122)

Distribution of u and vσ2u 2840 1418 1620 2643 2441 1593σ2v 0118 0121 0120 0118 0118 0120λ 2402 1172 1354 2233 2065 1325Log Lik 887404 922033 918606 896019 891991 907817

EstimatesEstimates of Mark-up (u)Avg 0075 0065 0068 0074 0075 00691st quartile 0052 0038 0051 0051 0051 0044Median 0062 0048 0060 0060 0061 00543st quartile 0080 0074 0079 0079 0079 0075std-dev 0053 0054 0053 0053 0054 0054

Note p lt 010 p lt 005 and p lt 001

38

Table 3 Estimates of Lerner index general and by type of control

EstimatesModel Model Model Model Model Model

(1) (2) (3) (4) (5) (6)Mark-up (L) generalAverage 0058 0051 0053 0057 0058 0053std-dev 0032 0034 0034 0032 0032 00331st quartile 0043 0031 0034 0041 0042 0036Median 0051 0039 0044 0050 0050 00453st quartile 0063 0060 0059 0063 0063 0060Mark-up (L) State-owned banksAverage 0057 0047 0049 0056 0056 0050std-dev 0018 0017 0017 0018 0016 00161st quartile 0047 0035 0038 0045 0046 0040Median 0054 0041 0046 0053 0053 00463st quartile 0064 0056 0056 0064 0063 0057Mark-up (L) National banksAverage 0057 0052 0054 0057 0057 0054std-dev 0034 0038 0038 0035 0035 00371st quartile 0041 0030 0033 0040 0041 0035Median 0050 0038 0043 0048 0049 00443st quartile 0061 0061 0060 0061 0062 0060Mark-up (L) Foreign banksAverage 0061 0050 0053 0059 0060 0054std-dev 0034 0033 0032 0034 0034 00321st quartile 0042 0031 0034 0041 0042 0036Median 0052 0040 0044 0051 0051 00453st quartile 0068 0059 0060 0066 0066 0061

Table 4 Estimates of returns to scale by control type and general

ModelState-owned

banksNational

banksForeignbanks

General std-dev Min Max

1 0944 0824 0842 0848 0073 0665 11242 0940 0829 0843 0851 0066 0690 10733 0938 0827 0842 0849 0066 0689 10764 0941 0824 0842 0848 0071 0671 11115 0942 0824 0841 0848 0072 0669 11136 0937 0829 0844 0850 0065 0692 1073

39

Appendix A Attachment Tables

Table A5 Cumulative change on Prudential Measures intensity

TimeCapitalBuffer 2

(cb)

CapitalReq(cr)

Loan-to-Value(ltv)

Reserve Reqlocal curr

(RR local)

Reserve Reqforeign cur

(RR foreign)

CumulativePrudential 3

(Cum Prud)2000q2 -1 0 0 0 -2 -32000q4 -1 0 0 0 -2 -32001q2 -1 0 0 0 -2 -32001q4 0 0 0 0 -1 -12002q2 0 0 0 0 0 02002q4 2 0 0 0 2 42003q2 0 0 0 0 3 32003q4 0 0 0 0 2 22004q2 0 0 0 0 2 22004q4 0 0 0 0 2 22005q2 0 0 0 0 2 22005q4 0 0 0 0 2 22006q2 0 0 0 0 2 22006q4 0 0 0 0 2 22007q2 2 0 0 0 2 42007q4 2 0 0 0 2 42008q2 2 0 0 0 2 42008q4 2 0 0 0 1 32009q2 2 0 0 0 0 22009q4 2 0 0 0 -1 12010q2 2 0 0 0 1 32010q4 3 0 0 0 3 62011q2 3 0 0 1 3 72011q4 4 0 0 2 3 92012q2 3 1 0 2 3 92012q4 3 1 0 1 2 72013q2 3 2 0 0 2 72013q4 3 2 1 0 2 82014q2 3 2 1 0 2 82014q4 2 2 1 0 3 82Sum of capital buffer and others 3Aggregate measure (It is the sum of the change of all other instrument)

40

Table A6 Estimates of Lerner index and return to scale by bank - Model (1)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0042 0082 0009 0940 0007 -85Banrisul S 0055 0041 0084 0009 0952 0008 -635BEC S 0048 0021 0077 0016 0844 0009 -1756BRB S 0058 0033 0100 0015 0961 0003 -1533BB S 0058 0039 0098 0012 0990 0006 -173Caixa Economica Federal S 0063 0051 0174 0022 1052 0004 1458B da Amazonia SA S 0057 0016 0124 0023 0844 0008 -2028B do Estado Do Para SA S 0061 0026 0110 0022 0936 0004 -1764B do Est do Maranhao SA S 0055 0046 0065 0006 0935 0014 -455B do Est do Piauı SA - Bep S 0057 0030 0155 0029 0862 0004 -326B do Estado De Sergipe SA S 0061 0024 0135 0022 0947 0004 -1453Nossa Caixa - N Banco SA S 0057 0036 0090 0013 0981 0004 -444Bradesco N 0056 0038 0114 0015 0925 0004 -1945Itau N 0059 0031 0220 0033 0901 0003 -3797Safra N 0053 0037 0085 0009 0885 0003 -4215Unibanco N 0055 0037 0088 0014 0897 0001 -7054Mercantil Do Brasil N 0057 0027 0077 0011 0945 0002 -2527BBM N 0076 0016 0300 0065 0783 0005 -4464BMC N 0052 0030 0079 0012 0845 0003 -4703BMG N 0065 0017 0208 0045 0779 0003 -729JMalucelli N 0047 0022 0069 0013 0718 0003 -8765PEBB N 0065 0017 0181 0047 0698 0008 -3914SS N 0057 0034 0220 0037 0799 0007 -2839Sofisa N 0054 0021 0092 0020 0804 0002 -9903BIC N 0060 0034 0236 0040 0855 0005 -276Schahin N 0056 0028 0214 0035 0835 0006 -262Stock N 0081 0020 0267 0067 0817 0006 -3107Pine N 0052 0022 0108 0019 0808 0004 -545Socopa N 0056 0027 0120 0017 0886 0003 -3806Intercap N 0060 0023 0212 0037 0812 0007 -2851Indusval N 0062 0030 0246 0043 0857 0005 -3139Bonsucesso N 0052 0020 0092 0018 0779 0005 -4033Industrial do Brasil N 0051 0031 0081 0016 0807 0002 -952Votorantim N 0052 0037 0107 0017 0819 0009 -2117Cacique N 0053 0024 0071 0014 0774 0005 -4621Inter Amex N 0055 0037 0068 0010 0837 0008 -2158Alfa N 0048 0041 0059 0005 0806 0002 -11303Rendimento N 0053 0022 0080 0012 0872 0008 -1562Bancoob N 0052 0046 0056 0003 0856 0003 -5061Original N 0085 0017 0279 0090 0729 0007 -4163Banco Intermedium SA N 0052 0028 0070 0015 0743 0006 -3973

Table A6 ndash Continue on next page

41

Table A6 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0225 0049 0761 0003 -7509Banco BBN SA N 0053 0027 0077 0014 0817 0012 -1509B Cooperativo Sicredi SA N 0052 0043 0062 0005 0875 0005 -2477B Cooperativo do Brasil SA N 0056 0046 0142 0020 0910 0006 -1479Banco Topazio SA N 0060 0035 0110 0027 0834 0006 -2966Banco Gerador SA N 0069 0045 0122 0028 0852 0008 -1968Banco Randon SA N 0109 0023 0320 0109 0783 0005 -4158Parana Banco SA N 0050 0026 0108 0020 0784 0008 -2799Banco Triangulo SA N 0055 0028 0091 0020 0833 0004 -4201Banco Guanabara SA N 0052 0024 0169 0025 0777 0004 -5588Banco Cedula SA N 0068 0012 0339 0061 0731 0003 -10236Banco Cacique SA N 0077 0028 0248 0077 0785 0016 -1309B Luso Brasileiro SA N 0065 0027 0208 0043 0849 0004 -349Banco Pecunia SA N 0047 0039 0060 0006 0770 0003 -7086Banco Zogbi SA N 0051 0038 0067 0011 0778 0001 -15193Banco Daycoval SA N 0054 0023 0131 0026 0783 0004 -5522B John Deere SA N 0059 0018 0133 0033 0756 0003 -7955Banco AJ Renner SA N 0053 0025 0081 0015 0827 0006 -2742ABN Amro F 0056 0039 0079 0014 0914 0002 -427Chase F 0068 0014 0228 0049 0790 0008 -2678LLoyds F 0053 0027 0064 0012 0825 0003 -5159BankBoston F 0057 0040 0099 0020 0902 0006 -1638Santander Brasil F 0057 0034 0097 0017 0890 0008 -146Citibank F 0059 0026 0153 0028 0875 0003 -4039BNL F 0055 0041 0097 0019 0840 0006 -2767Sudameris F 0056 0048 0065 0005 0966 0012 -297Societe Generale F 0060 0024 0153 0031 0826 0006 -299Europeu F 0054 0032 0073 0013 0848 0007 -2287ABC-Brasil F 0052 0025 0082 0014 0815 0003 -6207Dresdner F 0083 0017 0280 0074 0815 0006 -3234AGF Braseg F 0051 0031 0100 0016 0794 0004 -4923HSBC F 0057 0046 0092 0010 0971 0006 -466Deutsche F 0068 0013 0160 0036 0857 0004 -3335BNP Paribas F 0050 0037 0068 0007 0824 0005 -3665Barclays F 0052 0024 0089 0021 0771 0008 -2787Rabobank Int Brasil SA F 0058 0022 0166 0028 0842 0003 -5284B Nat de Paris Br SA F 0063 0023 0109 0033 0811 0006 -3331Ibibank SA - Banco Multiplo F 0059 0012 0106 0024 0781 0015 -1441Dresdner Bank - B Multiplo F 0086 0016 0244 0068 0768 0008 -2746Banco Westlb Do Brasil SA F 0064 0034 0108 0027 0839 0010 -1626Banco GE Capital SA F 0067 0032 0247 0047 0852 0010 -1527B Com Uruguai SA F 0072 0020 0192 0049 0830 0003 -52281S - State-owned bank N - National bank and F - Foreign bank

42

Table A7 Estimates of Lerner index and return to scale by bank - Model (2)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0049 0032 0085 0016 0944 0008 -716Banrisul S 0049 0032 0106 0017 0939 0008 -75BEC S 0032 0016 0046 0008 0860 0009 -1489BRB S 0049 0030 0112 0017 0961 0002 -1681BB S 0049 0032 0091 0016 0948 0006 -845Caixa Economica Federal S 0052 0034 0081 0014 1012 0003 382B da Amazonia SA S 0053 0015 0140 0028 0847 0008 -1922B do Estado Do Para SA S 0046 0029 0063 0009 0952 0005 -963B do Est do Maranhao SA S 0036 0029 0045 0005 0963 0016 -235B do Est do Piauı SA - Bep S 0036 0023 0071 0011 0888 0005 -2314B do Estado De Sergipe SA S 0050 0020 0155 0024 0962 0004 -1043Nossa Caixa - N Banco SA S 0039 0027 0074 0011 0972 0005 -601Bradesco N 0050 0028 0116 0023 0890 0004 -2618Itau N 0052 0024 0222 0037 0869 0003 -4269Safra N 0046 0028 0100 0017 0867 0003 -5042Unibanco N 0035 0028 0054 0007 0873 0001 -8511Mercantil Do Brasil N 0051 0029 0093 0019 0941 0002 -2837BBM N 0063 0012 0213 0048 0790 0005 -4494BMC N 0034 0023 0049 0007 0851 0003 -4266BMG N 0065 0015 0233 0057 0776 0004 -6135JMalucelli N 0052 0018 0080 0016 0720 0003 -9566PEBB N 0037 0014 0108 0025 0732 0009 -3086SS N 0056 0024 0236 0046 0797 0007 -2849Sofisa N 0052 0018 0107 0028 0808 0002 -8115BIC N 0057 0026 0259 0050 0850 0006 -2531Schahin N 0047 0022 0225 0041 0845 0007 -2359Stock N 0078 0017 0287 0071 0843 0006 -2782Pine N 0048 0018 0114 0023 0811 0004 -4973Socopa N 0050 0022 0136 0024 0908 0003 -3089Intercap N 0051 0019 0133 0031 0832 0006 -2759Indusval N 0061 0023 0267 0052 0866 0006 -2437Bonsucesso N 0050 0017 0109 0026 0791 0006 -3655Industrial do Brasil N 0044 0024 0079 0015 0816 0002 -8095Votorantim N 0048 0025 0120 0026 0807 0007 -2721Cacique N 0033 0020 0039 0006 0782 0005 -4597Inter Amex N 0035 0025 0045 0007 0844 0006 -2419Alfa N 0042 0029 0069 0013 0801 0002 -12139Rendimento N 0049 0019 0077 0015 0889 0008 -1394Bancoob N 0065 0057 0073 0006 0855 0003 -4199Original N 0099 0019 0299 0096 0732 0006 -4473Banco Intermedium SA N 0062 0032 0081 0019 0754 0006 -4393

Table A7 ndash Continue on next page

43

Table A7 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0059 0016 0239 0051 0778 0003 -6944Banco BBN SA N 0035 0020 0053 0009 0834 0011 -1466B Cooperativo Sicredi SA N 0045 0032 0070 0011 0881 0005 -2581B Cooperativo do Brasil SA N 0045 0029 0147 0025 0922 0006 -1274Banco Topazio SA N 0076 0043 0138 0038 0861 0005 -2569Banco Gerador SA N 0089 0054 0153 0037 0874 0008 -1645Banco Randon SA N 0122 0029 0335 0113 0803 0005 -388Parana Banco SA N 0033 0020 0062 0011 0800 0009 -234Banco Triangulo SA N 0052 0022 0105 0027 0841 0004 -4148Banco Guanabara SA N 0046 0019 0091 0020 0793 0004 -5561Banco Cedula SA N 0062 0011 0359 0067 0749 0003 -9911Banco Cacique SA N 0049 0020 0157 0048 0791 0016 -1315Banco Luso Brasileiro SA N 0066 0022 0241 0055 0870 0005 -2851Banco Pecunia SA N 0032 0027 0036 0003 0787 0003 -6876Banco Zogbi SA N 0032 0026 0037 0005 0784 0002 -13006Banco Daycoval SA N 0053 0019 0139 0036 0784 0004 -6065Banco John Deere SA N 0035 0016 0073 0016 0761 0003 -8278Banco AJ Renner SA N 0047 0021 0083 0015 0844 0006 -2553ABN Amro F 0035 0027 0047 0006 0889 0002 -7231Chase F 0054 0013 0157 0033 0804 0007 -2702LLoyds F 0033 0020 0043 0008 0821 0003 -5429BankBoston F 0036 0026 0060 0011 0888 0006 -1917Santander Brasil F 0055 0025 0115 0030 0864 0008 -1647Citibank F 0051 0020 0132 0025 0860 0003 -4735BNL F 0036 0026 0062 0012 0843 0005 -2959Sudameris F 0036 0031 0040 0004 0949 0011 -468Societe Generale F 0051 0018 0104 0024 0835 0007 -2454Europeu F 0034 0025 0041 0006 0859 0007 -2076ABC-Brasil F 0043 0026 0086 0015 0813 0003 -5797Dresdner F 0050 0014 0190 0046 0824 0004 -3975AGF Braseg F 0044 0024 0068 0014 0810 0005 -4109HSBC F 0052 0031 0110 0021 0948 0007 -776Deutsche F 0054 0012 0166 0030 0866 0005 -2754BNP Paribas F 0049 0028 0073 0013 0818 0004 -4092Barclays F 0065 0028 0121 0027 0811 0005 -4028Rabobank Int Brasil SA F 0047 0017 0102 0017 0845 0003 -4605B Nat de Paris Brasil SA F 0036 0017 0054 0013 0819 0005 -3304Ibibank SA - Banco Multiplo F 0043 0010 0114 0025 0782 0013 -1623Dresdner Bank - B Multiplo F 0096 0015 0270 0076 0785 0007 -2924Banco Westlb Do Brasil SA F 0041 0026 0062 0013 0853 0010 -154Banco GE Capital SA F 0054 0026 0253 0049 0862 0010 -1444B Com Uruguai SA F 0070 0017 0220 0058 0849 0003 -4471S - State-owned bank N - National bank and F - Foreign bank

44

Table A8 Estimates of Lerner index and return to scale by bank - Model (3)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0034 0090 0016 0941 0008 -772Banrisul S 0051 0032 0108 0016 0938 0008 -772BEC S 0035 0018 0051 0009 0856 0009 -1562BRB S 0052 0032 0122 0018 0958 0002 -1793BB S 0052 0035 0085 0015 0951 0006 -809Caixa Economica Federal S 0054 0039 0098 0014 1015 0003 465B da Amazonia SA S 0053 0014 0113 0024 0845 0008 -1977B do Estado Do Para SA S 0049 0028 0071 0010 0947 0005 -1117B do E do Maranhao SA S 0041 0032 0059 0008 0957 0015 -285B do E do Piauı SA - Bep S 0041 0028 0086 0014 0882 0005 -2518B do Estado De Sergipe SA S 0052 0021 0145 0022 0957 0004 -1182Nossa Caixa - N Banco SA S 0045 0029 0081 0015 0971 0005 -651Bradesco N 0052 0029 0101 0021 0893 0004 -2614Itau N 0054 0025 0203 0034 0872 0003 -4328Safra N 0048 0029 0093 0015 0869 0003 -5008Unibanco N 0041 0028 0067 0010 0874 0001 -8514Mercantil Do Brasil N 0053 0026 0095 0018 0939 0002 -29BBM N 0067 0013 0250 0056 0789 0005 -4501BMC N 0038 0024 0069 0010 0849 0003 -4408BMG N 0067 0015 0233 0058 0776 0004 -6374JMalucelli N 0052 0022 0087 0016 0720 0003 -9426PEBB N 0045 0014 0158 0040 0727 0009 -3192SS N 0057 0025 0231 0046 0797 0007 -287Sofisa N 0053 0018 0116 0026 0807 0002 -8444BIC N 0059 0030 0250 0049 0850 0006 -2596Schahin N 0048 0023 0220 0038 0842 0007 -2424Stock N 0083 0017 0304 0077 0838 0006 -2873Pine N 0049 0019 0105 0020 0810 0004 -5103Socopa N 0050 0026 0111 0018 0903 0003 -3253Intercap N 0055 0020 0196 0036 0828 0006 -283Indusval N 0062 0029 0282 0052 0863 0005 -2588Bonsucesso N 0051 0017 0118 0025 0789 0006 -3771Industrial do Brasil N 0046 0025 0086 0015 0815 0002 -8341Votorantim N 0050 0027 0128 0027 0809 0007 -2664Cacique N 0037 0020 0048 0009 0781 0005 -4645Inter Amex N 0039 0026 0058 0009 0842 0006 -2468Alfa N 0044 0031 0072 0011 0801 0002 -11998Rendimento N 0049 0022 0078 0011 0885 0008 -1463Bancoob N 0066 0057 0077 0007 0854 0003 -4342Original N 0102 0019 0301 0096 0730 0006 -4526Banco Intermedium SA N 0059 0027 0083 0020 0752 0006 -4354

Table A8 ndash Continue on next page

45

Table A8 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0017 0217 0054 0776 0003 -7084Banco BBN SA N 0038 0022 0058 0010 0831 0011 -1492B Cooperativo Sicredi SA N 0047 0035 0071 0010 0879 0005 -259B Cooperativo do Brasil SA N 0046 0035 0128 0020 0919 0006 -1339Banco Topazio SA N 0075 0036 0153 0041 0855 0005 -2657Banco Gerador SA N 0091 0057 0144 0034 0869 0008 -173Banco Randon SA N 0124 0029 0332 0112 0799 0005 -4023Parana Banco SA N 0036 0021 0071 0012 0797 0008 -2452Banco Triangulo SA N 0053 0023 0115 0027 0839 0004 -4256Banco Guanabara SA N 0047 0020 0100 0019 0790 0004 -561Banco Cedula SA N 0066 0012 0362 0068 0747 0003 -10082Banco Cacique SA N 0063 0026 0231 0074 0789 0016 -1336Banco Luso Brasileiro SA N 0066 0026 0249 0053 0865 0005 -2985Banco Pecunia SA N 0034 0029 0041 0004 0784 0003 -7038Banco Zogbi SA N 0036 0027 0046 0006 0782 0002 -13399Banco Daycoval SA N 0054 0019 0131 0034 0784 0004 -607Banco John Deere SA N 0039 0015 0083 0018 0761 0003 -8316Banco AJ Renner SA N 0049 0024 0073 0013 0840 0006 -2621ABN Amro F 0041 0030 0066 0009 0890 0002 -6866Chase F 0059 0013 0173 0039 0801 0007 -2733LLoyds F 0038 0021 0055 0010 0821 0003 -5484BankBoston F 0040 0028 0063 0012 0888 0006 -1931Santander Brasil F 0056 0028 0107 0027 0866 0008 -1663Citibank F 0052 0022 0123 0023 0860 0003 -4735BNL F 0039 0028 0063 0014 0841 0005 -2966Sudameris F 0041 0036 0052 0006 0948 0011 -473Societe Generale F 0052 0020 0103 0022 0833 0006 -2579Europeu F 0038 0030 0049 0007 0856 0007 -2153ABC-Brasil F 0046 0029 0079 0014 0813 0003 -5935Dresdner F 0055 0014 0212 0052 0822 0005 -3913AGF Braseg F 0046 0027 0071 0014 0806 0005 -4276HSBC F 0053 0032 0101 0019 0949 0007 -784Deutsche F 0058 0013 0141 0029 0863 0005 -2878BNP Paribas F 0051 0030 0074 0012 0818 0004 -4118Barclays F 0066 0025 0130 0030 0805 0005 -4123Rabobank Int Brasil SA F 0049 0019 0109 0018 0844 0003 -4752B Nat de Paris Brasil SA F 0041 0019 0069 0018 0817 0005 -3368Ibibank SA - Banco Multiplo F 0046 0010 0095 0021 0781 0014 -1617Dresdner Bank - B Multiplo F 0093 0017 0282 0072 0782 0008 -2899Banco Westlb Do Brasil SA F 0044 0027 0069 0015 0850 0009 -1591Banco GE Capital SA F 0055 0026 0249 0046 0859 0009 -1489B Com Uruguai SA F 0071 0017 0228 0056 0845 0003 -46241S - State-owned bank N - National bank and F - Foreign bank

46

Table A9 Estimates of Lerner index and return to scale by bank - Model (4)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0054 0041 0078 0011 0939 0007 -873Banrisul S 0055 0040 0106 0014 0948 0008 -692BEC S 0046 0020 0072 0014 0846 0009 -1746BRB S 0057 0032 0094 0016 0959 0002 -1673BB S 0057 0038 0095 0014 0981 0006 -33Caixa Economica Federal S 0061 0049 0165 0021 1042 0003 1249B da Amazonia SA S 0056 0015 0117 0022 0844 0008 -2047B do Estado Do Para SA S 0059 0025 0103 0020 0936 0004 -1701B do E Do Maranhao SA S 0052 0044 0062 0005 0936 0014 -448B do E Do Piauı SA - Bep S 0054 0029 0147 0028 0865 0004 -3201B do Estado De Sergipe SA S 0061 0023 0168 0026 0947 0004 -1484Nossa Caixa - N Banco SA S 0054 0035 0085 0012 0977 0004 -547Bradesco N 0056 0036 0107 0017 0919 0004 -2123Itau N 0058 0030 0212 0032 0896 0003 -3979Safra N 0052 0035 0107 0013 0882 0003 -445Unibanco N 0052 0035 0082 0013 0892 0001 -7446Mercantil Do Brasil N 0057 0027 0093 0015 0942 0002 -2687BBM N 0075 0015 0294 0064 0784 0005 -4512BMC N 0050 0029 0074 0011 0846 0003 -472BMG N 0065 0016 0202 0047 0779 0003 -7192JMalucelli N 0048 0022 0071 0014 0720 0003 -8923PEBB N 0061 0016 0172 0044 0704 0008 -382SS N 0056 0033 0213 0037 0799 0007 -2875Sofisa N 0053 0020 0087 0019 0805 0002 -9731BIC N 0061 0033 0269 0048 0854 0005 -2768Schahin N 0053 0027 0205 0034 0836 0006 -2627Stock N 0081 0020 0265 0068 0820 0006 -3122Pine N 0052 0022 0118 0021 0808 0004 -5467Socopa N 0054 0026 0114 0016 0888 0003 -3785Intercap N 0057 0023 0203 0035 0815 0006 -2877Indusval N 0062 0029 0239 0043 0857 0005 -3085Bonsucesso N 0052 0019 0088 0018 0782 0005 -403Industrial do Brasil N 0050 0030 0076 0015 0809 0002 -9427Votorantim N 0051 0036 0102 0017 0817 0008 -2222Cacique N 0050 0023 0067 0013 0776 0005 -4659Inter Amex N 0052 0035 0064 0009 0837 0007 -2226Alfa N 0048 0039 0071 0007 0805 0002 -11484Rendimento N 0052 0022 0076 0013 0874 0008 -1571Bancoob N 0057 0045 0071 0011 0855 0003 -5022Original N 0094 0017 0278 0090 0730 0006 -4242Banco Intermedium SA N 0049 0027 0065 0014 0746 0006 -4054

Table A9 ndash Continue on next page

47

Table A9 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0019 0220 0050 0764 0003 -7516Banco BBN SA N 0050 0027 0072 0013 0819 0012 -1529B Cooperativo Sicredi SA N 0051 0041 0068 0006 0875 0005 -2551B Cooperativo do Brasil SA N 0053 0044 0134 0018 0910 0006 -151Banco Topazio SA N 0066 0035 0128 0036 0837 0005 -2981Banco Gerador SA N 0082 0045 0157 0043 0854 0007 -1967Banco Randon SA N 0106 0026 0312 0105 0786 0005 -4204Parana Banco SA N 0048 0025 0102 0018 0787 0008 -2768Banco Triangulo SA N 0054 0027 0088 0021 0834 0004 -427Banco Guanabara SA N 0051 0023 0161 0025 0780 0004 -5659Banco Cedula SA N 0069 0012 0360 0065 0735 0003 -1028Banco Cacique SA N 0073 0027 0240 0075 0786 0016 -1327Banco Luso Brasileiro SA N 0065 0026 0242 0047 0852 0004 -346Banco Pecunia SA N 0045 0037 0056 0006 0773 0003 -7139Banco Zogbi SA N 0048 0036 0064 0010 0779 0001 -15057Banco Daycoval SA N 0055 0022 0126 0030 0784 0004 -568Banco John Deere SA N 0056 0018 0125 0031 0757 0003 -8084Banco AJ Renner SA N 0051 0025 0077 0013 0829 0006 -2763ABN Amro F 0053 0038 0074 0013 0909 0002 -4803Chase F 0066 0014 0220 0046 0793 0008 -2711LLoyds F 0050 0026 0060 0011 0825 0003 -5323BankBoston F 0054 0038 0092 0018 0899 0006 -1734Santander Brasil F 0056 0033 0098 0019 0885 0007 -1529Citibank F 0059 0025 0145 0030 0872 0003 -421BNL F 0052 0039 0091 0018 0840 0006 -2854Sudameris F 0053 0046 0062 0005 0961 0011 -352Societe Generale F 0058 0023 0144 0028 0827 0006 -2968Europeu F 0052 0031 0069 0012 0849 0007 -23ABC-Brasil F 0051 0028 0091 0015 0815 0003 -6225Dresdner F 0078 0017 0271 0071 0816 0005 -339AGF Braseg F 0050 0030 0094 0015 0797 0004 -4873HSBC F 0057 0045 0116 0016 0966 0006 -562Deutsche F 0066 0013 0151 0034 0858 0004 -3316BNP Paribas F 0050 0036 0071 0010 0823 0005 -3772Barclays F 0057 0024 0102 0025 0777 0007 -3003Rabobank Int Brasil SA F 0057 0021 0157 0026 0842 0003 -5266B Nat de Paris Brasil SA F 0059 0023 0102 0030 0812 0006 -3387Ibibank SA - Banco Multiplo F 0056 0012 0100 0023 0781 0015 -148Dresdner Bank - B Multiplo F 0084 0016 0237 0064 0771 0008 -2798Banco Westlb Do Brasil SA F 0061 0033 0101 0025 0841 0010 -1646Banco GE Capital SA F 0063 0031 0238 0044 0853 0010 -1548B Com Uruguai SA F 0074 0020 0226 0056 0833 0003 -51921S - State-owned bank N - National bank and F - Foreign bank

48

Table A10 Estimates of Lerner index and return to scale by bank - Model (5)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0043 0093 0012 0940 0007 -834Banrisul S 0054 0041 0083 0009 0949 0008 -668BEC S 0046 0020 0075 0014 0846 0009 -1719BRB S 0058 0032 0121 0017 0960 0002 -1607BB S 0056 0037 0087 0010 0981 0006 -321Caixa Economica Federal S 0061 0050 0156 0019 1044 0003 1282B da Amazonia SA S 0057 0016 0115 0023 0843 0008 -2023B do Estado Do Para SA S 0059 0027 0102 0020 0938 0004 -1608B do E Do Maranhao SA S 0052 0042 0064 0006 0939 0015 -418B do E Do Piauı SA - Bep S 0054 0029 0138 0025 0866 0004 -3097B do Estado De Sergipe SA S 0059 0024 0136 0020 0949 0004 -1404Nossa Caixa - N Banco SA S 0055 0036 0088 0013 0979 0004 -494Bradesco N 0056 0037 0108 0016 0918 0004 -2108Itau N 0058 0031 0213 0033 0894 0003 -3968Safra N 0052 0036 0086 0010 0881 0003 -4388Unibanco N 0053 0037 0085 0013 0892 0001 -7433Mercantil Do Brasil N 0057 0027 0086 0012 0943 0002 -2619BBM N 0075 0015 0292 0063 0784 0005 -447BMC N 0050 0029 0077 0012 0846 0003 -4648BMG N 0067 0017 0220 0051 0777 0003 -7116JMalucelli N 0049 0022 0083 0016 0718 0003 -8879PEBB N 0060 0017 0176 0044 0704 0008 -3743SS N 0059 0032 0223 0041 0798 0007 -2847Sofisa N 0055 0021 0112 0022 0804 0002 -9624BIC N 0060 0032 0238 0041 0853 0005 -2725Schahin N 0055 0028 0228 0038 0836 0006 -2575Stock N 0082 0019 0267 0068 0821 0006 -3063Pine N 0052 0022 0096 0018 0808 0004 -5392Socopa N 0055 0027 0113 0016 0889 0003 -3694Intercap N 0060 0023 0210 0037 0814 0006 -2856Indusval N 0062 0029 0245 0044 0857 0005 -3023Bonsucesso N 0053 0020 0113 0022 0781 0005 -3999Industrial do Brasil N 0051 0030 0084 0016 0808 0002 -9274Votorantim N 0052 0037 0130 0022 0816 0008 -2227Cacique N 0049 0024 0065 0012 0775 0005 -4632Inter Amex N 0052 0034 0067 0011 0837 0007 -2236Alfa N 0047 0041 0056 0004 0804 0002 -11448Rendimento N 0053 0022 0079 0011 0874 0008 -1549Bancoob N 0056 0050 0064 0005 0856 0003 -4874Original N 0087 0018 0288 0093 0728 0006 -4259Banco Intermedium SA N 0055 0027 0078 0019 0744 0006 -4047

Table A10 ndash Continue on next page

49

Table A10 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0217 0048 0763 0003 -7417Banco BBN SA N 0051 0026 0075 0014 0820 0012 -1504B Cooperativo Sicredi SA N 0051 0040 0061 0005 0876 0005 -2499B Cooperativo do Brasil SA N 0054 0043 0136 0019 0912 0006 -1445Banco Topazio SA N 0061 0034 0109 0026 0838 0006 -2897Banco Gerador SA N 0073 0052 0124 0026 0855 0008 -1918Banco Randon SA N 0120 0024 0327 0114 0785 0005 -4153Parana Banco SA N 0048 0026 0106 0020 0786 0008 -2732Banco Triangulo SA N 0055 0027 0111 0022 0834 0004 -4227Banco Guanabara SA N 0052 0024 0153 0024 0779 0004 -5589Banco Cedula SA N 0069 0012 0339 0062 0734 0003 -10232Banco Cacique SA N 0076 0027 0246 0076 0785 0016 -1317Banco Luso Brasileiro SA N 0067 0027 0207 0047 0852 0004 -3379Banco Pecunia SA N 0046 0038 0054 0006 0773 0003 -71Banco Zogbi SA N 0047 0037 0061 0010 0778 0001 -14931Banco Daycoval SA N 0054 0022 0126 0026 0782 0004 -5661Banco John Deere SA N 0056 0018 0129 0031 0756 0003 -8043Banco AJ Renner SA N 0053 0025 0080 0015 0829 0006 -2716ABN Amro F 0053 0038 0074 0012 0908 0002 -4751Chase F 0067 0014 0225 0047 0792 0008 -2693LLoyds F 0049 0025 0064 0012 0824 0003 -5227BankBoston F 0054 0037 0096 0020 0899 0006 -1701Santander Brasil F 0057 0033 0103 0019 0884 0008 -1511Citibank F 0059 0026 0154 0028 0871 0003 -4204BNL F 0052 0037 0097 0020 0840 0006 -28Sudameris F 0052 0045 0058 0005 0962 0011 -334Societe Generale F 0060 0023 0151 0031 0827 0006 -2924Europeu F 0050 0032 0066 0012 0849 0007 -2263ABC-Brasil F 0051 0025 0079 0014 0814 0003 -617Dresdner F 0080 0017 0276 0073 0816 0005 -3374AGF Braseg F 0050 0031 0093 0015 0796 0004 -4812HSBC F 0057 0043 0093 0011 0966 0006 -541Deutsche F 0066 0013 0155 0035 0858 0004 -3244BNP Paribas F 0050 0035 0067 0008 0822 0005 -3775Barclays F 0056 0024 0113 0025 0778 0007 -305Rabobank Int Brasil SA F 0057 0021 0163 0027 0842 0003 -5208B Nat de Paris Brasil SA F 0058 0022 0100 0029 0812 0006 -3343Ibibank SA - Banco Multiplo F 0057 0012 0099 0023 0780 0015 -1478Dresdner Bank - B Multiplo F 0087 0016 0244 0068 0770 0008 -2768Banco Westlb Do Brasil SA F 0063 0034 0106 0026 0841 0010 -1625Banco GE Capital SA F 0064 0032 0247 0046 0853 0010 -1522B Com Uruguai SA F 0073 0019 0191 0049 0833 0003 -50981S - State-owned bank N - National bank and F - Foreign bank

50

Table A11 Estimates of Lerner index and return to scale by bank - Model (6)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0036 0096 0015 0939 0007 -855Banrisul S 0050 0035 0098 0014 0938 0008 -82BEC S 0041 0019 0067 0012 0855 0009 -1644BRB S 0053 0029 0124 0018 0956 0002 -1996BB S 0051 0032 0088 0013 0954 0006 -807Caixa Economica Federal S 0054 0040 0094 0012 1014 0003 475B da Amazonia SA S 0053 0015 0103 0022 0846 0008 -205B do Estado Do Para SA S 0051 0028 0074 0013 0943 0004 -1319B do E Do Maranhao SA S 0041 0031 0059 0008 0950 0014 -346B do E Do Piauı SA - Bep S 0042 0028 0084 0012 0879 0004 -2727B do Estado De Sergipe SA S 0052 0022 0153 0022 0953 0003 -1377Nossa Caixa - N Banco SA S 0047 0032 0081 0014 0969 0004 -74Bradesco N 0052 0032 0097 0019 0898 0004 -2645Itau N 0054 0027 0190 0031 0877 0003 -4452Safra N 0049 0032 0100 0015 0872 0003 -5056Unibanco N 0043 0032 0067 0010 0878 0001 -8666Mercantil Do Brasil N 0053 0026 0087 0017 0938 0002 -3104BBM N 0066 0013 0251 0056 0792 0005 -4556BMC N 0041 0026 0069 0011 0850 0003 -4582BMG N 0067 0016 0228 0057 0781 0003 -6611JMalucelli N 0051 0022 0089 0017 0725 0003 -9344PEBB N 0046 0015 0157 0039 0728 0008 -3313SS N 0058 0025 0230 0046 0801 0007 -292Sofisa N 0053 0020 0119 0025 0809 0002 -8846BIC N 0060 0029 0262 0049 0852 0005 -2697Schahin N 0049 0025 0229 0040 0843 0006 -2523Stock N 0081 0017 0284 0072 0836 0005 -2986Pine N 0049 0021 0112 0019 0812 0004 -5267Socopa N 0050 0026 0095 0015 0900 0003 -3515Intercap N 0055 0021 0196 0035 0828 0006 -2899Indusval N 0061 0029 0262 0049 0863 0005 -2762Bonsucesso N 0052 0019 0123 0026 0791 0005 -3885Industrial do Brasil N 0046 0027 0088 0015 0816 0002 -8698Votorantim N 0051 0027 0139 0027 0813 0007 -262Cacique N 0039 0022 0050 0009 0784 0005 -4707Inter Amex N 0045 0027 0064 0012 0843 0006 -2493Alfa N 0044 0033 0068 0009 0805 0002 -12111Rendimento N 0050 0022 0073 0010 0883 0008 -1543Bancoob N 0066 0055 0072 0007 0856 0003 -4559Original N 0098 0020 0294 0094 0735 0006 -4509Banco Intermedium SA N 0057 0024 0085 0022 0756 0006 -4324

Table A11 ndash Continue on next page

51

Table A11 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0061 0017 0195 0048 0777 0003 -7233Banco BBN SA N 0042 0023 0059 0012 0831 0011 -1529B Cooperativo Sicredi SA N 0048 0035 0066 0009 0879 0005 -2672B Cooperativo do Brasil SA N 0046 0034 0119 0017 0917 0006 -1439Banco Topazio SA N 0070 0031 0129 0036 0853 0005 -2776Banco Gerador SA N 0086 0057 0148 0034 0867 0007 -1825Banco Randon SA N 0126 0028 0331 0114 0799 0005 -4136Parana Banco SA N 0039 0023 0082 0015 0798 0008 -2556Banco Triangulo SA N 0052 0025 0116 0025 0840 0004 -4363Banco Guanabara SA N 0048 0021 0100 0019 0792 0004 -5683Banco Cedula SA N 0067 0013 0356 0067 0749 0002 -10205Banco Cacique SA N 0067 0026 0232 0073 0792 0015 -1356Banco Luso Brasileiro SA N 0065 0025 0237 0052 0864 0004 -3163Banco Pecunia SA N 0037 0029 0045 0006 0786 0003 -7158Banco Zogbi SA N 0037 0027 0045 0007 0785 0002 -13921Banco Daycoval SA N 0053 0020 0120 0031 0787 0003 -6088Banco John Deere SA N 0043 0017 0099 0022 0764 0003 -8346Banco AJ Renner SA N 0050 0025 0080 0013 0840 0006 -2706ABN Amro F 0043 0035 0067 0008 0894 0002 -6685Chase F 0059 0014 0189 0040 0803 0007 -2772LLoyds F 0039 0021 0055 0012 0824 0003 -5536BankBoston F 0044 0029 0075 0015 0890 0006 -1965Santander Brasil F 0054 0028 0107 0024 0871 0008 -1694Citibank F 0054 0023 0133 0026 0863 0003 -4787BNL F 0042 0028 0078 0018 0843 0005 -2998Sudameris F 0041 0036 0052 0006 0948 0010 -491Societe Generale F 0054 0020 0118 0025 0834 0006 -2716Europeu F 0038 0029 0049 0008 0856 0006 -2239ABC-Brasil F 0046 0028 0084 0014 0816 0003 -6111Dresdner F 0063 0015 0239 0061 0823 0005 -3888AGF Braseg F 0047 0027 0074 0014 0807 0004 -4477HSBC F 0054 0032 0109 0018 0950 0006 -823Deutsche F 0058 0013 0122 0028 0863 0004 -305BNP Paribas F 0051 0032 0070 0011 0822 0004 -4145Barclays F 0064 0024 0128 0029 0802 0005 -4051Rabobank Int Brasil SA F 0051 0019 0130 0021 0846 0003 -4992B Nat de Paris Brasil SA F 0043 0019 0070 0019 0819 0005 -3429Ibibank SA - Banco Multiplo F 0049 0010 0083 0020 0785 0013 -161Dresdner Bank - B Multiplo F 0087 0016 0261 0066 0783 0007 -2901Banco Westlb Do Brasil SA F 0051 0030 0082 0019 0850 0009 -1643Banco GE Capital SA F 0053 0028 0239 0044 0859 0009 -1544B Com Uruguai SA F 0071 0017 0217 0054 0845 0003 -48451S - State-owned bank N - National bank and F - Foreign bank

52

Seacuterie de Textos para Discussatildeo do Curso de Ciecircncias Econocircmicas ndash FACEUFG ndash TD [078]

EDITORIAL FACE ndash Faculdade de Administraccedilatildeo Ciecircncias Contaacutebeis e Ciecircncias Econocircmicas Curso de Ciecircncias Econocircmicas Direccedilatildeo FACE Prof Moiseacutes Ferreira da Cunha Vice-Direccedilatildeo FACE Profordf Andreacutea Freire de Lucena Coordenaccedilatildeo do Curso de Ciecircncias Econocircmicas Prof Tiago Camarinha Lopes NEPEC ndash Nuacutecleo de Estudos e Pesquisas Econocircmicas Coordenaccedilatildeo Prof Seacutergio Fornazier Meyrelles Filho SEacuteRIE DE TEXTOS PARA DISCUSSAtildeO DO CURSO DE CIEcircNCIAS ECONOcircMICAS DA UFG Coordenaccedilatildeo e Equipe de Editoraccedilatildeo Prof Sandro Eduardo Monsueto Adriana Moura Guimaratildees Matheus Henrique de Arauacutejo Dutra

Endereccedilo Campus Samambaia Preacutedio da FACE ndash Rodovia GoiacircniaNova Veneza km 0 ndash CEP 74690-900 Goiacircnia ndash GO Tel (62) 3521 ndash 1390 URL httpwwwfaceufgbreconomia Publicaccedilatildeo cujo objetivo eacute divulgar resultados de estudos que contam com a participaccedilatildeo de pesquisadores do NEPEC As opiniotildees contidas nesta publicaccedilatildeo satildeo de inteira responsabilidade do(s) autor(es) natildeo representando necessariamente o ponto de vista do NEPEC ou da FACEUFG Eacute permitida a reproduccedilatildeo desde que citada a fonte

Page 19: 1(3(& )$&( 8)* · The Dark Side of Prudential MeasuresI Paulo R. Scalco a, Benjamin M. Tabak1, Anderson M. Teixeira aFaculty of Management, Accounting and Economics, Federal University

because some measures were not implemented by the BCB Examples are the capital buffer

for real estate credit the concentration limit of banks to sectors or borrowers and the limit

on interbank exposure

Moreover due to the low variability in most measures and the semi-annual structure

of the database obtained in the BCB we chose to use the cumulative indexes of variation

According to Cerutti et al (2016) the purpose of this cumulative index is to capture the

level of tightness or looseness over a given period Finally to capture an overall measure of

prudential instruments we aggregate all variations of prudential instruments into a single

aggregate instrument called cumulative prudential Table A5 attached illustrates the

change and the intensity of the prudential instruments implemented by Brazil according to

the data collected by Cerutti et al (2016)

Our empirical strategy consists in estimating the equation 16 by Maximum Likelihood in

a two-stage procedure wherein the first stage we obtain the estimates of the parameters of

the equation and in the second stage we calculate the estimates of uit using the conditional

mean estimator of Jondrow et al (1982)

After obtaining the estimates of u and RC equiv EY we use equation 20 to calculate the

estimated values of θ which are used to calculat e the Lerner Index (L) according to

equation 21

We estimated six models wif different sets of deterministic variables (prudential measures)

to control the parameter of market power (uit) In the first model we did not add any

controls In the second we include only the HHI In the third specification we include the

capital buffer and capital requirement The fourth model uses only the loan-to-value In the

fifth model we include reserve requirements in both foreign and local currency and in the

last model we include the cumulative prudential measure which is the sum of the changes

in all other prudential measures

The inclusion of prudential variables in a separated way was necessary because they

represent only the tightening or the loosening of the prudential instrument Therefore they

do not represent the change in the magnitude of the prudential instrument As such the

variables have little variability and the high correlation generated between them causes

17

severe problems in the estimation process by maximum likelihood In general the tests with

the aggregate models did not reach the convergence of likelihood function even using different

strategies for initial values or optimization algorithm and when the optimization reaches an

optimal state the estimates were inconsistent For this reason we chose to estimate simpler

models including prudential variables separately or at most two when they represented

similar measures

Besides two critical events occurred in the second half of 2008 and significantly changed

the structure and dynamics of the banking industry in Brazil The outbreak of the subprime

crisis in the US and the acquisition of Unibanco by Itau in Brazil5 Itau-Unibanco has become

the largest bank in Brazil (Itau-Unibanco) accounting for 191 of total SFN assets and

184 of the total loan portfolio in the second half of 2008

We can observe the increase in market concentration in Figure 1 which represents HHI

concentration indices for total assets and total credit portfolio The increase in concentra-

tion levels of the banking industry on the other hand also coincides temporarily with the

outbreak of the GFC and an increase in rigidity in prudential instruments after the onset of

the crisis6

These events result in a high correlation between the variables and making it more

difficult to isolate the effects of each variable on the parameter of market power In this

way we also chose to estimate an HHI-only model as the control variable of market power

(uit)

Figure 1 Evolution of the Herfindahl Index (HHI) over time using credit and total assets

for the Brazilian banking system

We summarize the description of the variables that we will use in the estimation of

5Unibanco was the sixth largest Brazilian bank in the first half of 2008 accounting for 59 of total SFNassets and 6 of the total loan portfolio Also Itau was the third largest bank with 118 of SFN and119 of the loan portfolio

6Cubillas amp Suarez (2018) find the same result as the banksrsquo market power increased shortly after theGFC

18

equation 16 and how we calculate them in Table 1 All variables included in equation 16

except for trend prudential variables an HHI are in the logarithms form

Table 1 Variables used to IDF estimatation

5 Empirical Results

We present the results of the models in Table 2 Initially focusing on the interpretation

of the parameters of the input-distance function we verified that the size of the IF credit

portfolio (lnY ) has a negative sign but it was significant only for models 1 4 and 5 This

result implies that the larger the portfolio size the lower the revenue-cost ratio of the FI

Table 2 Results of IDF estimation

The coefficients of Staff costs (lnx1) and volume of funding (lnx2) were also negative

and significant in all models Thus the higher the staff costs and the higher the funding

volume the lower the cost-to-cost ratio of the FIs The trend variable as established by

equation 23 represents the scale bias and the negative sign would indicate that technological

change would increase economies of scale over time however no estimate was significant

51 Impact of Prudential Measures on Mark-up

The evaluation of the variables that determine the mark-up parameter (u) shows that

all of them are statistically significant and positive The SFA model is not linear in these

parameters Therefore the value of the coefficients does not represent the effect of the

magnitude of changes in the variables on the mark-up (their elasticities) However we can

estimate their marginal effects We present them for each variable in Figure 2

19

Figure 2 Marginal effects of HHI and prudential instruments (Capital Buffer Capital

RequirementLTV Reserve Requirement (Foreign) Reserve Requirement (domestic) and

cumulative prud) on themark-upucomponent

The positive sign of HHI in model 2 means that the more concentrated the banking

industry is the higher the market power of FIs This result is in line with that established by

the traditional structure-conduct-performance paradigm (Schmalensee 1989) However as

can be seen in Figure 1 the increase in the concentration index coincides with the tightening

of the prudential measures stemming from the GFC In this sense we can not say whether

this is the real effect of the increase in market concentration on the market power of FIs or

whether it is affected by the tightening of prudential measures

If we focus on prudential instruments the results for capital buffers and the capital

requirement (model 3) indicate that a tightening in these variables - whose purpose is to

increase banksrsquo capital reserve during positive shocks in the economy - has a detrimental

effect on competition market since they raise the IF mark-ups This effect happens because

this prudential measure influences the smoothing of the credit supply cycle

The same results are present for the loan-to-value variable (model 4) In general this

measure sets limits on the leverage of mortgages and other securities and a tightening in

ltv is effective in controlling possible booms in the real estate market by reducing real estate

prices and ultimately reducing the excess volatility of the economy ((Zhang amp Zoli 2016

Ely et al 2019) According to the result found the higher the limits the greater the market

power of the FIs

With respect to reserve requirements both in foreign and local currency - credit limits

directly in foreign currency and domestic currency respectively - the results (model 5) also

demonstrate a detrimental effect on competition since the tightening in such measures also

implies an increase mark-up of IFs In the model 6 where we introduce the aggregate

prudential measure the result found is similar to the others that is the higher the tightness

(in general) in the prudential measures of the financial system the higher the market power

of FIs

20

Unfortunately since prudential variables represent only a measure of tightening or loos-

ening of prudential policy and not its magnitude we can not accurately assess the impact

of these variables on the mark-up The marginal effects represented in Figure 2 give us only

an idea of how such variables affected the estimated mark-ups

However in general we can say that the positive signs of the estimates mean that the

higher the tightness in these prudential policies the greater the mark-up and consequently

the higher the market power of the FIs Therefore we find a perverse effect on industry

competition and probably a loss of borrowers welfare

Our results are in accordance with the evidence that the increase in prudential rigor has

negative impacts mainly on the supply of credit (Lim et al 2011 Claessens 2015 Aiyar

et al 2014 Gropp et al 2018 Cerutti et al 2017a) Ceteris paribus the increase of IF

mark-ups would be a fully expected effect As highlighted by Claessens amp Laeven (2004) any

policy that restricts the activity of banks and hinders their operation has negative impacts

on market competition

52 Estimation of Lerner indices

Regarding the mark-up estimation the values reported at the bottom of Table 2 corre-

spond to the distance between the observed revenue-cost ratio and its competitive boundary

that is the component u

To interpret the mark-up however we will focus the discussion on the estimates of

Lerner index (equation 21) because they have a more unambiguous economic meaning We

summarize the results of Lerner index for general estimates by type of control and for each

model in Table 3 and the Figure 3 shows their frequency distributions We should emphasize

that these estimates are individuals that is we obtain the estimates for each IF and at each

period t The tables in Annex (A6 to A11) summarizes the estimates of the Lerner index

and the returns to scale for each IF in the sample

Table 3 Estimates of Lerner index general and by type of control

21

Figure 3 Frequency distribution of Lerner indexes for each model and density estimation

Kernel by typeof control

For all six models all mark-up estimates were within the theoretical range of 0 and 1

with the minimum value being 0009 (model 2) and the maximum value 0362 (model 3) In

general the estimated average value was between 0051 (model 2) and 0058 (models 1 and

5) which means that on average Brazilian banks have a mark-up between 51 and 58

These values are slightly different when we separate the estimates by type of control

In the case of state-owned banks the average mark-up was between 0047 (model 2)

and 0057 (model 1) These values are lower in all the estimated models to the values

of (privates) national banks (0052-0057) and foreign banks (0050-0061) However the

medians of estimated values for state-owned banks were higher than the national and foreign

private banks in all models

For comparison purposes these values are considerably lower than the value (016) esti-

mated for Brazil in Coccorese (2014) We believe that this difference is due to the model and

sample used Coccorese (2014) has estimated the dual version of model (equation 5) and

as highlighted by Kumbhakar et al (2012) the use of accounting information to calculate

input prices can generate problems when they are endogenous

Regarding the sample Coccorese (2014) also used a different period from ours (1994 to

2012) and a more significant number of IFs in the sample (189 against 83 used by us) The

main difference here is in the number of IF - 106 in total In this respect it is essential to

note that these FIs constitute small FIs and in the second half of 2014 they held only 37

of total SFN assets and 24 of the total credit portfolio

We tried to replicated the Coccoresersquo sample but in preliminary tests we have found great

difficulties in the models estimations in particular at convergence of likelihood function

We observed these small IFs had in several situations extremely high values for the revenue-

cost ratio or excessively low for the inputs used (personnel expenses and funding) as well

as other problems such as launch errors (positive values in variables of expenditure for

example) and missings For these reasons and considering that such IFs represented only a

22

small fraction of Brazilian credit market we decided to exclude them from the sample

However It is worth highlight as they are small FIs the vast majority operate in particular

segments of the credit market and probably assume a more risk-taking behavior Considering

that they will work with a segment of credit claimants with rdquoworse scoresrdquo than borrowers

using large FIs we expect that the mark-up of these IFs will be higher We can observe

(part of) this phenomenon in Figure 4 where we represent the estimates of the Lerner index

(vertical axis) against market share of total assets (horizontal axis) of our sample and it is

quite evident the smaller banks have the higher mark-ups Therefore as our sample exclude

a large proportion of these small IFs it is natural that Coccorese (2014)rsquo results larger than

ours

Figure 4 Lerner indexes according to the size (market share) of banksrsquo assets

Regardless of this our results seem to adhere well to reality because if we look at Figure

5 we note that the Lerner indices show a significant increase from the second semester of

2008 These results are in agreement with the results of Cubillas amp Suarez (2018) Besides

in Figure 6 Lerner indexes are separated by type of control and we can observe that with

some exceptions the market power has always been lower for state-owned banks especially

considering the period after the GFC

Figure 5 Average Lerner indices for each model between 2000q2 and 2014q4

Figure 6 Average Lerner indices estimated for public private national and private

foreign banks between2000q2 and 2014q4

23

53 Estimation of Returns to Scale

Finally Table 4 and Figure 7 summarize the estimates of returns to scale We highlight

that the average of the returns to the scale of the Brazilian FIs is very close if we comparer

the six estimated models (between 0848 and 0851) Although the values are close to unity

in all IFs we reject the hypotheses of constant returns to the scale that is RTS = 1 therefore

IFs have diseconomies of scale

Table 4 Estimates of returns to scale by control type and general

When we separate estimates by type of control the estimates of state-owned banks

(0937-0944) are higher than national (0824-0829) and foreign banks (0841-0844) This

result means that the scale problem is a problem common to all FIs in Brazil Moreover

state-owned banks runs closer to the constant return region than national and foreign banks

Figure 7 Frequency distribution of the returns to scale indexes for each model and

density estimationKernel by type of control

6 Final Considerations

Considering that the banking industry underwent a significant restructuring in recent

years caused by several mergers and acquisitions in the sector as well as by a severe financial

crisis started in mid 2007 and potentialized in 2008 understand the behavior of market

power and as a (partial) set of prudential instruments influencing this dynamic has become

paramount Thus in an innovative way this paper proposed the use of stochastic frontier

analysis techniques to measure market power for the Brazilian banking industry and to test

if such prudential measures had an impact on the competitive dynamics of sector

The estimated average Lerner index was between 51 and 58 for Brazilian FIs How-

ever when controlled by the type of control we find that state-owned banks have slightly

24

lower estimates than national and foreign banks respectively Also estimates of returns to

scale allow us to infer that FIs operate with diseconomies of scale

Concerning the impact of prudential measures on the market power of FIs our results

generally suggest that tightening of prudential measures have a positive impact on bank

mark-up and consequently have detrimental effects on competition in industry banking

Finally in future research it will be possible to better understand the influence of some

prudential measures in the banking market through the study by type of segment or line of

credit

25

References

Aiyar S Calomiris C W amp Wieladek T (2014) Does macro-prudential regulation leak ev-

idence from a uk policy experiment Journal of Money Credit and Banking 46 181ndash214

URL httpsonlinelibrarywileycomdoiabs101111jmcb12086 doi101111jmcb12086

arXivhttpsonlinelibrarywileycomdoipdf101111jmcb12086

Altunbas Y Binici M amp Gambacorta L (2018) Macroprudential policy and bank risk Journal of

International Money and Finance 81 203ndash220 doihttpsdoiorg101016jjimonfin201711

012

Araujo L A D d amp Jorge Neto P d M (2007) Risco e competicao bancaria no Brasil Revista Brasileira

de Economia 61 175ndash200 URL httpwwwscielobrscielophpscript=sci_abstractamppid=

S0034-71402007000200003amplng=enampnrm=isoamptlng=pt doi101590S0034-71402007000200003

Auer R amp Ongena S (2019) The countercyclical capital buffer and the composition of bank lending

Available at SSRN 3345189

Ayyagari M Beck T amp Peria M (2018) The micro impact of macroprudential policies Firm-level

evidence IMF Working Paper

Barbosa K de Paula Rocha B amp Salazar F (2015) Assessing competition in the banking indus-

try A multi-product approach Journal of Banking amp Finance 50 340ndash362 URL httpwww

sciencedirectcomsciencearticlepiiS0378426614001642 doi101016jjbankfin201405

003

Belaisch A (2003) Do Brazilian Banks Compete SSRN Scholarly Paper ID 879189 Social Science Research

Network Rochester NY URL httpspapersssrncomabstract=879189

Bikker J A Shaffer S amp Spierdijk L K (2012) Assessing competition with the panzar-rosse model

The role of scale costs and equilibrium Economics Letters 94 1025ndash1044

Bresnahan T F (1982) The oligopoly solution concept is identified Economics Letters 10 87ndash92 URL

httpdxdoiorg1010160165-1765(82)90121-5 doi1010160165-1765(82)90121-5

Bresnahan T F amp Reiss P (1991) Entry and competition in concentrated markets Journal of Political

Economy 99 977ndash1009

Camors C amp Peydro J (2014) Macroprudential and monetary policy Loan-level evidence from reserve

requirement Mimeo Universitat Pompeu Fabra URL httpspdfssemanticscholarorgd508

61639bb4e7453a7a39184edf9b0c1e7016a6pdf

Cardoso M Azevedo P F amp Barbosa K (2016) Concorrencia no setor bancario brasileiro bancos

individuais versus conglomerados bancarios (pp 113ndash146) URL httprepositorioipeagovbr

handle110586650

Cerutti E Claessens S amp Laeven L (2017a) The use and effectiveness of macroprudential policies New

26

evidence Journal of Financial Stability 28 203ndash224 doihttpsdoiorg101016jjfs201510

004

Cerutti E Correa R Fiorentino E amp Segalla E (2016) Changes in prudential policy instruments ndash a

new cross-country database IMF Working Paper WP1610

Cerutti E Dagher J amp DellrsquoAriccia G (2017b) Housing finance and real-estate booms A cross-country

perspective Journal of Housing Economics 38 1ndash13

Claessens S (2015) An overview of macroprudential policy tools Annual Re-

view of Financial Economics 7 397ndash422 URL httpsdoiorg101146

annurev-financial-111914-041807 doi101146annurev-financial-111914-041807

arXivhttpsdoiorg101146annurev-financial-111914-041807

Claessens S Ghosh S R amp Mihet R (2013) Macro-prudential policies to mitigate financial system

vulnerabilities Journal of International Money and Finance 39 153ndash185 doihttpsdoiorg10

1016jjimonfin201306023

Claessens S amp Laeven L (2004) What drives bank competition some international evidence Journal

of Money Credit and Banking 36 563ndash583 URL httpwwwjstororgstable3838954

Coccorese P (2014) Estimating the Lerner index for the banking industry a stochastic frontier approach

Applied Financial Economics 24 73ndash88 URL httpdxdoiorg101080096031072013866202

doi101080096031072013866202

Coelho C A De Mello J M amp Rezende L (2013) Do Public Banks Compete with Private

Banks Evidence from Concentrated Local Markets in Brazil Journal of Money Credit and Bank-

ing 45 1581ndash1615 URL httponlinelibrarywileycomdoi101111jmcb12063abstract

doi101111jmcb12063

Cubillas E amp Suarez N (2018) Bank market power and lending during the global financial crisis Jour-

nal of International Money and Finance 89 1ndash22 URL httpwwwsciencedirectcomscience

articlepiiS0261560618303048 doihttpsdoiorg101016jjimonfin201808003

Das A amp Kumbhakar S C (2016) Markup and efficiency of Indian banks an input distance func-

tion approach Empirical Economics (pp 1ndash31) URL httplinkspringercomarticle101007

s00181-015-1062-4 doi101007s00181-015-1062-4

Ely R Tabak B amp Teixeira A (2019) Heterogeneous effects of the implementation of macroprudential

policies on bank risk MPRA Paper No94546

Freixas X Laeven L amp Peydro J-L (2015) Systemic Risk Crises and Macroprudential Regulation

Mit Press URL httpwwwjstororgstablejctt17kk82g

Galati G amp Moessner R (2013) Macroprudential policy ndash a literature review Jour-

nal of Economic Surveys 27 846ndash878 URL httpsonlinelibrarywileycom

27

doiabs101111j1467-6419201200729x doi101111j1467-6419201200729x

arXivhttpsonlinelibrarywileycomdoipdf101111j1467-6419201200729x

Gropp R Mosk T Ongena S amp Wix C (2018) Banks Response to Higher Cap-

ital Requirements Evidence from a Quasi-Natural Experiment The Review of Finan-

cial Studies 32 266ndash299 URL httpsdoiorg101093rfshhy052 doi101093rfshhy052

arXivhttpoupprodsislanrfsarticle-pdf32126627185080hhy052pdf

Hyde C E amp Perloff J M (1995) Can market power be estimated Review of Industrial Organization 10

465ndash485 URL httplinkspringercomarticle101007BF01024231 doi101007BF01024231

Igan D amp Kang H (2011) Do loan-to-value and debt-to-income limits work evidence from korea IMF

Working Papers (pp 1ndash34)

Jimenez G Ongena S Peydro J-L amp Saurina J (2017) Macroprudential policy countercyclical bank

capital buffers and credit supply Evidence from the spanish dynamic provisioning experiments Journal

of Political Economy 125 2126ndash2177 URL httpsdoiorg101086694289 doi101086694289

arXivhttpsdoiorg101086694289

Jondrow J Knox Lovell C A Materov I S amp Schmidt P (1982) On the estimation of technical

inefficiency in the stochastic frontier production function model Journal of Econometrics 19 233ndash

238 URL httpwwwsciencedirectcomsciencearticlepii0304407682900045 doi101016

0304-4076(82)90004-5

Klingelhoger J amp Sun R (2019) Macruprudential policy central banks and financial stability Evidence

from china Journal of International Money and Finance 93 19ndash41 URL httpsdoiorg101016

jjimonfin201812015

Kumbhakar S C (2012) Specification and estimation of primal production models European Journal

of Operational Research 217 509ndash518 URL httpwwwsciencedirectcomsciencearticlepii

S0377221711008939 doi101016jejor201109043

Kumbhakar S C Baardsen S amp Lien G (2012) A New Method for Estimating Market Power with

an Application to Norwegian Sawmilling Review of Industrial Organization 40 109ndash129 URL http

linkspringercomarticle101007s11151-012-9339-7 doi101007s11151-012-9339-7

Lerner A P (1934) The Concept of Monopoly and the Measurement of Monopoly Power The Review

of Economic Studies 1 157ndash175 URL httprestudoxfordjournalsorglookupdoi102307

2967480 doi1023072967480

Lim C H Costa A Columba F Kongsamut P Otani A Saiyid M Wezel T amp Wu X (2011)

Macroprudential policy what instruments and how to use them lessons from country experiences IMF

working papers (pp 1ndash85)

Lopez R A He X amp Azzam A (2018) Stochastic frontier estimation of market

28

power in the food industries Journal of Agricultural Economics 69 3ndash17 URL https

onlinelibrarywileycomdoiabs1011111477-955212219 doi1011111477-955212219

arXivhttpsonlinelibrarywileycomdoipdf1011111477-955212219

Lucinda C R (2010) Competition in the Brazilian loan market an empirical analysis Estudos Economicos

(Sao Paulo) 40 831ndash858 URL httpwwwscielobrscielophpscript=sci_abstractamppid=

S0101-41612010000400004amplng=enampnrm=isoamptlng=en doi101590S0101-41612010000400004

Moreno R (2011) Policymaking from arsquomacroprudentialrsquoperspective in emerging market economies

Nakane M I (2002) A test of competition in brazilian banking Estudos Economicos (Sao Paulo) 32

203ndash224 URL httpwwwrevistasuspbreearticleview117799

Panzar J C amp Rosse J N (1987) Testing for rdquomonopolyrdquo equilibrium The Journal of Industrial

Economics 35 443ndash456 URL httpwwwjstororgstable2098582 doi1023072098582

Richter B Schularick M amp Shim I (2019) The costs of macroprudential policy Journal of Inter-

national Economics 118 263 ndash 282 URL httpwwwsciencedirectcomsciencearticlepii

S0022199618302617 doihttpsdoiorg101016jjinteco201811011

Schmalensee R (1989) Chapter 16 inter-industry studies of structure and performance In Hand-

book of Industrial Organization (pp 951ndash1009) Elsevier BV URL httpdxdoiorg101016

s1573-448x(89)02004-2 doi101016s1573-448x(89)02004-2

Silva M S d () Avaliacao do processo de concentracao-competicao no setor bancario brasileiro URL

httpwwwbcbgovbrpecwpsporttd377pdf

Tabak B amp Gomes G (2015) The impact of market power at bank level in risk-taking The brazilian

case International Review of Financial Analysis 40 154ndash165

Tabak B M Fazio D M amp Cajueiro D O (2012) The relationship between banking market competition

and risk-taking Do size and capitalization matter 36 3366ndash3381 URL httpwwwsciencedirect

comsciencearticlepiiS0378426612002026 doi101016jjbankfin201207022

Wong T Fong T Li K-f amp Choi H (2011) Loan-to-value ratio as a macroprudential tool-hong kongrsquos

experience and cross-country evidence

Zhang L amp Zoli E (2016) Leaning against the wind Macroprudential policy in asia Journal of Asian

Economics 42 33ndash52

29

Figure 1 Evolution of the Herfindahl Index (HHI) over time using credit and total assets for theBrazilian banking system

30

Figure 2 Marginal effects of HHI and prudential instruments (Capital Buffer Capital RequirementLTV Reserve Requirement (Foreign) Reserve Requirement (domestic) and cumulative prud) on the

mark-up u component

31

Figure 3 Frequency distribution of Lerner indexes for each model and density estimation Kernel by typeof control

32

Figure 4 Lerner indexes according to the size (market share) of banksrsquo assets

33

Figure 5 Average Lerner indices for each model between 2000q2 and 2014q4

34

Figure 6 Average Lerner indices estimated for public private national and private foreign banks between2000q2 and 2014q4

35

Figure 7 Frequency distribution of the returns to scale indexes for each model and density estimationKernel by type of control

36

Table 1 Variables used to IDF estimatation

Variabel Description SourceBasic variables

TR Total Revenue = Gross Insterest Income (a) + Bank-ing Service Fee Income (d1) + Banking Fee Income(d2) + Other Operating Income (d7)

Inc statIFData

TC Total Cost = Interest Expenses (b) + Personnel Ex-penses (d3) + Administrative Expenses (d4) + TaxExpenses (d5) + Other Operating Expenses (d8)

Inc statIFData

Y Loan Lease and Other Credit Operations by RiskLevel

SummaryIFData

x1 Personnel Expenses (d3) Inc statIFDatax2 Funding (e) LiabilitiesIFDatax3 Equity (j) LiabilitiesIFData

Model variabelslnRC Log of Revenue-Cost ratiolnY Log of total loanlnx1 Log of personnel expenses and equity ratio (x1x3)lnx2 Log of funding and equity ratio (x2x3)T Time

Prudential variables - Deterministic mark-up parametersHHIt HHIt =

sumS2it where Sit

2 is market share of totalasset of bank i on time t

Inc statIFData

cb cumulative change of capital buffer Cerutti et al (2016)cr cumulative change of capital requirement Cerutti et al (2016)ltv cumulative change of loan-to-value Cerutti et al (2016)

rr foreign cumulative change of reserve requirement (foreigncurrency)

Cerutti et al (2016)

rr local cumulative change of reserve requirement (domesticcurrency)

Cerutti et al (2016)

37

Table 2 Results of IDF estimation

Parameters VariablesEstimates

Model Model Model Model Model Model(1) (2) (3) (4) (5) (6)

Parametros da funcao insumo distanciaαY Y lnY -0013 -0003 -0004 -0012 -0011 -0005

(000) (000) (000) (000) (000) (000)α1Y lnx1 -0096 -0095 -0094 -0094 -0096 -0090

(001) (001) (001) (001) (001) (001)α2Y lnx2 -0019 -0022 -0022 -0019 -0020 -0021

(001) (001) (001) (001) (001) (001)αY T T -0000 -0000 -0000 -0000 -0000 -0000

(000) (000) (000) (000) (000) (000)αY const 1153 1010 1035 1134 1129 1057

(005) (007) (005) (005) (005) (006)

Deterministic Mark-up parametersδ1 HHI 764157

(12270)δ1 Capital

Buffer7586(065)

δ2 CapitalReq

4696(160)

δ1 Loan-to-value38511(671)

δ1 ResR(foreign)10730(433)

δ2 ResR(local)2869(126)

δ1 Cum Prud3237(020)

δ0 const minus10601minus10194minus5306 minus9866 minus8577 minus4993(032) (2064) (316) (079) (119) (122)

Distribution of u and vσ2u 2840 1418 1620 2643 2441 1593σ2v 0118 0121 0120 0118 0118 0120λ 2402 1172 1354 2233 2065 1325Log Lik 887404 922033 918606 896019 891991 907817

EstimatesEstimates of Mark-up (u)Avg 0075 0065 0068 0074 0075 00691st quartile 0052 0038 0051 0051 0051 0044Median 0062 0048 0060 0060 0061 00543st quartile 0080 0074 0079 0079 0079 0075std-dev 0053 0054 0053 0053 0054 0054

Note p lt 010 p lt 005 and p lt 001

38

Table 3 Estimates of Lerner index general and by type of control

EstimatesModel Model Model Model Model Model

(1) (2) (3) (4) (5) (6)Mark-up (L) generalAverage 0058 0051 0053 0057 0058 0053std-dev 0032 0034 0034 0032 0032 00331st quartile 0043 0031 0034 0041 0042 0036Median 0051 0039 0044 0050 0050 00453st quartile 0063 0060 0059 0063 0063 0060Mark-up (L) State-owned banksAverage 0057 0047 0049 0056 0056 0050std-dev 0018 0017 0017 0018 0016 00161st quartile 0047 0035 0038 0045 0046 0040Median 0054 0041 0046 0053 0053 00463st quartile 0064 0056 0056 0064 0063 0057Mark-up (L) National banksAverage 0057 0052 0054 0057 0057 0054std-dev 0034 0038 0038 0035 0035 00371st quartile 0041 0030 0033 0040 0041 0035Median 0050 0038 0043 0048 0049 00443st quartile 0061 0061 0060 0061 0062 0060Mark-up (L) Foreign banksAverage 0061 0050 0053 0059 0060 0054std-dev 0034 0033 0032 0034 0034 00321st quartile 0042 0031 0034 0041 0042 0036Median 0052 0040 0044 0051 0051 00453st quartile 0068 0059 0060 0066 0066 0061

Table 4 Estimates of returns to scale by control type and general

ModelState-owned

banksNational

banksForeignbanks

General std-dev Min Max

1 0944 0824 0842 0848 0073 0665 11242 0940 0829 0843 0851 0066 0690 10733 0938 0827 0842 0849 0066 0689 10764 0941 0824 0842 0848 0071 0671 11115 0942 0824 0841 0848 0072 0669 11136 0937 0829 0844 0850 0065 0692 1073

39

Appendix A Attachment Tables

Table A5 Cumulative change on Prudential Measures intensity

TimeCapitalBuffer 2

(cb)

CapitalReq(cr)

Loan-to-Value(ltv)

Reserve Reqlocal curr

(RR local)

Reserve Reqforeign cur

(RR foreign)

CumulativePrudential 3

(Cum Prud)2000q2 -1 0 0 0 -2 -32000q4 -1 0 0 0 -2 -32001q2 -1 0 0 0 -2 -32001q4 0 0 0 0 -1 -12002q2 0 0 0 0 0 02002q4 2 0 0 0 2 42003q2 0 0 0 0 3 32003q4 0 0 0 0 2 22004q2 0 0 0 0 2 22004q4 0 0 0 0 2 22005q2 0 0 0 0 2 22005q4 0 0 0 0 2 22006q2 0 0 0 0 2 22006q4 0 0 0 0 2 22007q2 2 0 0 0 2 42007q4 2 0 0 0 2 42008q2 2 0 0 0 2 42008q4 2 0 0 0 1 32009q2 2 0 0 0 0 22009q4 2 0 0 0 -1 12010q2 2 0 0 0 1 32010q4 3 0 0 0 3 62011q2 3 0 0 1 3 72011q4 4 0 0 2 3 92012q2 3 1 0 2 3 92012q4 3 1 0 1 2 72013q2 3 2 0 0 2 72013q4 3 2 1 0 2 82014q2 3 2 1 0 2 82014q4 2 2 1 0 3 82Sum of capital buffer and others 3Aggregate measure (It is the sum of the change of all other instrument)

40

Table A6 Estimates of Lerner index and return to scale by bank - Model (1)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0042 0082 0009 0940 0007 -85Banrisul S 0055 0041 0084 0009 0952 0008 -635BEC S 0048 0021 0077 0016 0844 0009 -1756BRB S 0058 0033 0100 0015 0961 0003 -1533BB S 0058 0039 0098 0012 0990 0006 -173Caixa Economica Federal S 0063 0051 0174 0022 1052 0004 1458B da Amazonia SA S 0057 0016 0124 0023 0844 0008 -2028B do Estado Do Para SA S 0061 0026 0110 0022 0936 0004 -1764B do Est do Maranhao SA S 0055 0046 0065 0006 0935 0014 -455B do Est do Piauı SA - Bep S 0057 0030 0155 0029 0862 0004 -326B do Estado De Sergipe SA S 0061 0024 0135 0022 0947 0004 -1453Nossa Caixa - N Banco SA S 0057 0036 0090 0013 0981 0004 -444Bradesco N 0056 0038 0114 0015 0925 0004 -1945Itau N 0059 0031 0220 0033 0901 0003 -3797Safra N 0053 0037 0085 0009 0885 0003 -4215Unibanco N 0055 0037 0088 0014 0897 0001 -7054Mercantil Do Brasil N 0057 0027 0077 0011 0945 0002 -2527BBM N 0076 0016 0300 0065 0783 0005 -4464BMC N 0052 0030 0079 0012 0845 0003 -4703BMG N 0065 0017 0208 0045 0779 0003 -729JMalucelli N 0047 0022 0069 0013 0718 0003 -8765PEBB N 0065 0017 0181 0047 0698 0008 -3914SS N 0057 0034 0220 0037 0799 0007 -2839Sofisa N 0054 0021 0092 0020 0804 0002 -9903BIC N 0060 0034 0236 0040 0855 0005 -276Schahin N 0056 0028 0214 0035 0835 0006 -262Stock N 0081 0020 0267 0067 0817 0006 -3107Pine N 0052 0022 0108 0019 0808 0004 -545Socopa N 0056 0027 0120 0017 0886 0003 -3806Intercap N 0060 0023 0212 0037 0812 0007 -2851Indusval N 0062 0030 0246 0043 0857 0005 -3139Bonsucesso N 0052 0020 0092 0018 0779 0005 -4033Industrial do Brasil N 0051 0031 0081 0016 0807 0002 -952Votorantim N 0052 0037 0107 0017 0819 0009 -2117Cacique N 0053 0024 0071 0014 0774 0005 -4621Inter Amex N 0055 0037 0068 0010 0837 0008 -2158Alfa N 0048 0041 0059 0005 0806 0002 -11303Rendimento N 0053 0022 0080 0012 0872 0008 -1562Bancoob N 0052 0046 0056 0003 0856 0003 -5061Original N 0085 0017 0279 0090 0729 0007 -4163Banco Intermedium SA N 0052 0028 0070 0015 0743 0006 -3973

Table A6 ndash Continue on next page

41

Table A6 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0225 0049 0761 0003 -7509Banco BBN SA N 0053 0027 0077 0014 0817 0012 -1509B Cooperativo Sicredi SA N 0052 0043 0062 0005 0875 0005 -2477B Cooperativo do Brasil SA N 0056 0046 0142 0020 0910 0006 -1479Banco Topazio SA N 0060 0035 0110 0027 0834 0006 -2966Banco Gerador SA N 0069 0045 0122 0028 0852 0008 -1968Banco Randon SA N 0109 0023 0320 0109 0783 0005 -4158Parana Banco SA N 0050 0026 0108 0020 0784 0008 -2799Banco Triangulo SA N 0055 0028 0091 0020 0833 0004 -4201Banco Guanabara SA N 0052 0024 0169 0025 0777 0004 -5588Banco Cedula SA N 0068 0012 0339 0061 0731 0003 -10236Banco Cacique SA N 0077 0028 0248 0077 0785 0016 -1309B Luso Brasileiro SA N 0065 0027 0208 0043 0849 0004 -349Banco Pecunia SA N 0047 0039 0060 0006 0770 0003 -7086Banco Zogbi SA N 0051 0038 0067 0011 0778 0001 -15193Banco Daycoval SA N 0054 0023 0131 0026 0783 0004 -5522B John Deere SA N 0059 0018 0133 0033 0756 0003 -7955Banco AJ Renner SA N 0053 0025 0081 0015 0827 0006 -2742ABN Amro F 0056 0039 0079 0014 0914 0002 -427Chase F 0068 0014 0228 0049 0790 0008 -2678LLoyds F 0053 0027 0064 0012 0825 0003 -5159BankBoston F 0057 0040 0099 0020 0902 0006 -1638Santander Brasil F 0057 0034 0097 0017 0890 0008 -146Citibank F 0059 0026 0153 0028 0875 0003 -4039BNL F 0055 0041 0097 0019 0840 0006 -2767Sudameris F 0056 0048 0065 0005 0966 0012 -297Societe Generale F 0060 0024 0153 0031 0826 0006 -299Europeu F 0054 0032 0073 0013 0848 0007 -2287ABC-Brasil F 0052 0025 0082 0014 0815 0003 -6207Dresdner F 0083 0017 0280 0074 0815 0006 -3234AGF Braseg F 0051 0031 0100 0016 0794 0004 -4923HSBC F 0057 0046 0092 0010 0971 0006 -466Deutsche F 0068 0013 0160 0036 0857 0004 -3335BNP Paribas F 0050 0037 0068 0007 0824 0005 -3665Barclays F 0052 0024 0089 0021 0771 0008 -2787Rabobank Int Brasil SA F 0058 0022 0166 0028 0842 0003 -5284B Nat de Paris Br SA F 0063 0023 0109 0033 0811 0006 -3331Ibibank SA - Banco Multiplo F 0059 0012 0106 0024 0781 0015 -1441Dresdner Bank - B Multiplo F 0086 0016 0244 0068 0768 0008 -2746Banco Westlb Do Brasil SA F 0064 0034 0108 0027 0839 0010 -1626Banco GE Capital SA F 0067 0032 0247 0047 0852 0010 -1527B Com Uruguai SA F 0072 0020 0192 0049 0830 0003 -52281S - State-owned bank N - National bank and F - Foreign bank

42

Table A7 Estimates of Lerner index and return to scale by bank - Model (2)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0049 0032 0085 0016 0944 0008 -716Banrisul S 0049 0032 0106 0017 0939 0008 -75BEC S 0032 0016 0046 0008 0860 0009 -1489BRB S 0049 0030 0112 0017 0961 0002 -1681BB S 0049 0032 0091 0016 0948 0006 -845Caixa Economica Federal S 0052 0034 0081 0014 1012 0003 382B da Amazonia SA S 0053 0015 0140 0028 0847 0008 -1922B do Estado Do Para SA S 0046 0029 0063 0009 0952 0005 -963B do Est do Maranhao SA S 0036 0029 0045 0005 0963 0016 -235B do Est do Piauı SA - Bep S 0036 0023 0071 0011 0888 0005 -2314B do Estado De Sergipe SA S 0050 0020 0155 0024 0962 0004 -1043Nossa Caixa - N Banco SA S 0039 0027 0074 0011 0972 0005 -601Bradesco N 0050 0028 0116 0023 0890 0004 -2618Itau N 0052 0024 0222 0037 0869 0003 -4269Safra N 0046 0028 0100 0017 0867 0003 -5042Unibanco N 0035 0028 0054 0007 0873 0001 -8511Mercantil Do Brasil N 0051 0029 0093 0019 0941 0002 -2837BBM N 0063 0012 0213 0048 0790 0005 -4494BMC N 0034 0023 0049 0007 0851 0003 -4266BMG N 0065 0015 0233 0057 0776 0004 -6135JMalucelli N 0052 0018 0080 0016 0720 0003 -9566PEBB N 0037 0014 0108 0025 0732 0009 -3086SS N 0056 0024 0236 0046 0797 0007 -2849Sofisa N 0052 0018 0107 0028 0808 0002 -8115BIC N 0057 0026 0259 0050 0850 0006 -2531Schahin N 0047 0022 0225 0041 0845 0007 -2359Stock N 0078 0017 0287 0071 0843 0006 -2782Pine N 0048 0018 0114 0023 0811 0004 -4973Socopa N 0050 0022 0136 0024 0908 0003 -3089Intercap N 0051 0019 0133 0031 0832 0006 -2759Indusval N 0061 0023 0267 0052 0866 0006 -2437Bonsucesso N 0050 0017 0109 0026 0791 0006 -3655Industrial do Brasil N 0044 0024 0079 0015 0816 0002 -8095Votorantim N 0048 0025 0120 0026 0807 0007 -2721Cacique N 0033 0020 0039 0006 0782 0005 -4597Inter Amex N 0035 0025 0045 0007 0844 0006 -2419Alfa N 0042 0029 0069 0013 0801 0002 -12139Rendimento N 0049 0019 0077 0015 0889 0008 -1394Bancoob N 0065 0057 0073 0006 0855 0003 -4199Original N 0099 0019 0299 0096 0732 0006 -4473Banco Intermedium SA N 0062 0032 0081 0019 0754 0006 -4393

Table A7 ndash Continue on next page

43

Table A7 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0059 0016 0239 0051 0778 0003 -6944Banco BBN SA N 0035 0020 0053 0009 0834 0011 -1466B Cooperativo Sicredi SA N 0045 0032 0070 0011 0881 0005 -2581B Cooperativo do Brasil SA N 0045 0029 0147 0025 0922 0006 -1274Banco Topazio SA N 0076 0043 0138 0038 0861 0005 -2569Banco Gerador SA N 0089 0054 0153 0037 0874 0008 -1645Banco Randon SA N 0122 0029 0335 0113 0803 0005 -388Parana Banco SA N 0033 0020 0062 0011 0800 0009 -234Banco Triangulo SA N 0052 0022 0105 0027 0841 0004 -4148Banco Guanabara SA N 0046 0019 0091 0020 0793 0004 -5561Banco Cedula SA N 0062 0011 0359 0067 0749 0003 -9911Banco Cacique SA N 0049 0020 0157 0048 0791 0016 -1315Banco Luso Brasileiro SA N 0066 0022 0241 0055 0870 0005 -2851Banco Pecunia SA N 0032 0027 0036 0003 0787 0003 -6876Banco Zogbi SA N 0032 0026 0037 0005 0784 0002 -13006Banco Daycoval SA N 0053 0019 0139 0036 0784 0004 -6065Banco John Deere SA N 0035 0016 0073 0016 0761 0003 -8278Banco AJ Renner SA N 0047 0021 0083 0015 0844 0006 -2553ABN Amro F 0035 0027 0047 0006 0889 0002 -7231Chase F 0054 0013 0157 0033 0804 0007 -2702LLoyds F 0033 0020 0043 0008 0821 0003 -5429BankBoston F 0036 0026 0060 0011 0888 0006 -1917Santander Brasil F 0055 0025 0115 0030 0864 0008 -1647Citibank F 0051 0020 0132 0025 0860 0003 -4735BNL F 0036 0026 0062 0012 0843 0005 -2959Sudameris F 0036 0031 0040 0004 0949 0011 -468Societe Generale F 0051 0018 0104 0024 0835 0007 -2454Europeu F 0034 0025 0041 0006 0859 0007 -2076ABC-Brasil F 0043 0026 0086 0015 0813 0003 -5797Dresdner F 0050 0014 0190 0046 0824 0004 -3975AGF Braseg F 0044 0024 0068 0014 0810 0005 -4109HSBC F 0052 0031 0110 0021 0948 0007 -776Deutsche F 0054 0012 0166 0030 0866 0005 -2754BNP Paribas F 0049 0028 0073 0013 0818 0004 -4092Barclays F 0065 0028 0121 0027 0811 0005 -4028Rabobank Int Brasil SA F 0047 0017 0102 0017 0845 0003 -4605B Nat de Paris Brasil SA F 0036 0017 0054 0013 0819 0005 -3304Ibibank SA - Banco Multiplo F 0043 0010 0114 0025 0782 0013 -1623Dresdner Bank - B Multiplo F 0096 0015 0270 0076 0785 0007 -2924Banco Westlb Do Brasil SA F 0041 0026 0062 0013 0853 0010 -154Banco GE Capital SA F 0054 0026 0253 0049 0862 0010 -1444B Com Uruguai SA F 0070 0017 0220 0058 0849 0003 -4471S - State-owned bank N - National bank and F - Foreign bank

44

Table A8 Estimates of Lerner index and return to scale by bank - Model (3)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0034 0090 0016 0941 0008 -772Banrisul S 0051 0032 0108 0016 0938 0008 -772BEC S 0035 0018 0051 0009 0856 0009 -1562BRB S 0052 0032 0122 0018 0958 0002 -1793BB S 0052 0035 0085 0015 0951 0006 -809Caixa Economica Federal S 0054 0039 0098 0014 1015 0003 465B da Amazonia SA S 0053 0014 0113 0024 0845 0008 -1977B do Estado Do Para SA S 0049 0028 0071 0010 0947 0005 -1117B do E do Maranhao SA S 0041 0032 0059 0008 0957 0015 -285B do E do Piauı SA - Bep S 0041 0028 0086 0014 0882 0005 -2518B do Estado De Sergipe SA S 0052 0021 0145 0022 0957 0004 -1182Nossa Caixa - N Banco SA S 0045 0029 0081 0015 0971 0005 -651Bradesco N 0052 0029 0101 0021 0893 0004 -2614Itau N 0054 0025 0203 0034 0872 0003 -4328Safra N 0048 0029 0093 0015 0869 0003 -5008Unibanco N 0041 0028 0067 0010 0874 0001 -8514Mercantil Do Brasil N 0053 0026 0095 0018 0939 0002 -29BBM N 0067 0013 0250 0056 0789 0005 -4501BMC N 0038 0024 0069 0010 0849 0003 -4408BMG N 0067 0015 0233 0058 0776 0004 -6374JMalucelli N 0052 0022 0087 0016 0720 0003 -9426PEBB N 0045 0014 0158 0040 0727 0009 -3192SS N 0057 0025 0231 0046 0797 0007 -287Sofisa N 0053 0018 0116 0026 0807 0002 -8444BIC N 0059 0030 0250 0049 0850 0006 -2596Schahin N 0048 0023 0220 0038 0842 0007 -2424Stock N 0083 0017 0304 0077 0838 0006 -2873Pine N 0049 0019 0105 0020 0810 0004 -5103Socopa N 0050 0026 0111 0018 0903 0003 -3253Intercap N 0055 0020 0196 0036 0828 0006 -283Indusval N 0062 0029 0282 0052 0863 0005 -2588Bonsucesso N 0051 0017 0118 0025 0789 0006 -3771Industrial do Brasil N 0046 0025 0086 0015 0815 0002 -8341Votorantim N 0050 0027 0128 0027 0809 0007 -2664Cacique N 0037 0020 0048 0009 0781 0005 -4645Inter Amex N 0039 0026 0058 0009 0842 0006 -2468Alfa N 0044 0031 0072 0011 0801 0002 -11998Rendimento N 0049 0022 0078 0011 0885 0008 -1463Bancoob N 0066 0057 0077 0007 0854 0003 -4342Original N 0102 0019 0301 0096 0730 0006 -4526Banco Intermedium SA N 0059 0027 0083 0020 0752 0006 -4354

Table A8 ndash Continue on next page

45

Table A8 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0017 0217 0054 0776 0003 -7084Banco BBN SA N 0038 0022 0058 0010 0831 0011 -1492B Cooperativo Sicredi SA N 0047 0035 0071 0010 0879 0005 -259B Cooperativo do Brasil SA N 0046 0035 0128 0020 0919 0006 -1339Banco Topazio SA N 0075 0036 0153 0041 0855 0005 -2657Banco Gerador SA N 0091 0057 0144 0034 0869 0008 -173Banco Randon SA N 0124 0029 0332 0112 0799 0005 -4023Parana Banco SA N 0036 0021 0071 0012 0797 0008 -2452Banco Triangulo SA N 0053 0023 0115 0027 0839 0004 -4256Banco Guanabara SA N 0047 0020 0100 0019 0790 0004 -561Banco Cedula SA N 0066 0012 0362 0068 0747 0003 -10082Banco Cacique SA N 0063 0026 0231 0074 0789 0016 -1336Banco Luso Brasileiro SA N 0066 0026 0249 0053 0865 0005 -2985Banco Pecunia SA N 0034 0029 0041 0004 0784 0003 -7038Banco Zogbi SA N 0036 0027 0046 0006 0782 0002 -13399Banco Daycoval SA N 0054 0019 0131 0034 0784 0004 -607Banco John Deere SA N 0039 0015 0083 0018 0761 0003 -8316Banco AJ Renner SA N 0049 0024 0073 0013 0840 0006 -2621ABN Amro F 0041 0030 0066 0009 0890 0002 -6866Chase F 0059 0013 0173 0039 0801 0007 -2733LLoyds F 0038 0021 0055 0010 0821 0003 -5484BankBoston F 0040 0028 0063 0012 0888 0006 -1931Santander Brasil F 0056 0028 0107 0027 0866 0008 -1663Citibank F 0052 0022 0123 0023 0860 0003 -4735BNL F 0039 0028 0063 0014 0841 0005 -2966Sudameris F 0041 0036 0052 0006 0948 0011 -473Societe Generale F 0052 0020 0103 0022 0833 0006 -2579Europeu F 0038 0030 0049 0007 0856 0007 -2153ABC-Brasil F 0046 0029 0079 0014 0813 0003 -5935Dresdner F 0055 0014 0212 0052 0822 0005 -3913AGF Braseg F 0046 0027 0071 0014 0806 0005 -4276HSBC F 0053 0032 0101 0019 0949 0007 -784Deutsche F 0058 0013 0141 0029 0863 0005 -2878BNP Paribas F 0051 0030 0074 0012 0818 0004 -4118Barclays F 0066 0025 0130 0030 0805 0005 -4123Rabobank Int Brasil SA F 0049 0019 0109 0018 0844 0003 -4752B Nat de Paris Brasil SA F 0041 0019 0069 0018 0817 0005 -3368Ibibank SA - Banco Multiplo F 0046 0010 0095 0021 0781 0014 -1617Dresdner Bank - B Multiplo F 0093 0017 0282 0072 0782 0008 -2899Banco Westlb Do Brasil SA F 0044 0027 0069 0015 0850 0009 -1591Banco GE Capital SA F 0055 0026 0249 0046 0859 0009 -1489B Com Uruguai SA F 0071 0017 0228 0056 0845 0003 -46241S - State-owned bank N - National bank and F - Foreign bank

46

Table A9 Estimates of Lerner index and return to scale by bank - Model (4)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0054 0041 0078 0011 0939 0007 -873Banrisul S 0055 0040 0106 0014 0948 0008 -692BEC S 0046 0020 0072 0014 0846 0009 -1746BRB S 0057 0032 0094 0016 0959 0002 -1673BB S 0057 0038 0095 0014 0981 0006 -33Caixa Economica Federal S 0061 0049 0165 0021 1042 0003 1249B da Amazonia SA S 0056 0015 0117 0022 0844 0008 -2047B do Estado Do Para SA S 0059 0025 0103 0020 0936 0004 -1701B do E Do Maranhao SA S 0052 0044 0062 0005 0936 0014 -448B do E Do Piauı SA - Bep S 0054 0029 0147 0028 0865 0004 -3201B do Estado De Sergipe SA S 0061 0023 0168 0026 0947 0004 -1484Nossa Caixa - N Banco SA S 0054 0035 0085 0012 0977 0004 -547Bradesco N 0056 0036 0107 0017 0919 0004 -2123Itau N 0058 0030 0212 0032 0896 0003 -3979Safra N 0052 0035 0107 0013 0882 0003 -445Unibanco N 0052 0035 0082 0013 0892 0001 -7446Mercantil Do Brasil N 0057 0027 0093 0015 0942 0002 -2687BBM N 0075 0015 0294 0064 0784 0005 -4512BMC N 0050 0029 0074 0011 0846 0003 -472BMG N 0065 0016 0202 0047 0779 0003 -7192JMalucelli N 0048 0022 0071 0014 0720 0003 -8923PEBB N 0061 0016 0172 0044 0704 0008 -382SS N 0056 0033 0213 0037 0799 0007 -2875Sofisa N 0053 0020 0087 0019 0805 0002 -9731BIC N 0061 0033 0269 0048 0854 0005 -2768Schahin N 0053 0027 0205 0034 0836 0006 -2627Stock N 0081 0020 0265 0068 0820 0006 -3122Pine N 0052 0022 0118 0021 0808 0004 -5467Socopa N 0054 0026 0114 0016 0888 0003 -3785Intercap N 0057 0023 0203 0035 0815 0006 -2877Indusval N 0062 0029 0239 0043 0857 0005 -3085Bonsucesso N 0052 0019 0088 0018 0782 0005 -403Industrial do Brasil N 0050 0030 0076 0015 0809 0002 -9427Votorantim N 0051 0036 0102 0017 0817 0008 -2222Cacique N 0050 0023 0067 0013 0776 0005 -4659Inter Amex N 0052 0035 0064 0009 0837 0007 -2226Alfa N 0048 0039 0071 0007 0805 0002 -11484Rendimento N 0052 0022 0076 0013 0874 0008 -1571Bancoob N 0057 0045 0071 0011 0855 0003 -5022Original N 0094 0017 0278 0090 0730 0006 -4242Banco Intermedium SA N 0049 0027 0065 0014 0746 0006 -4054

Table A9 ndash Continue on next page

47

Table A9 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0019 0220 0050 0764 0003 -7516Banco BBN SA N 0050 0027 0072 0013 0819 0012 -1529B Cooperativo Sicredi SA N 0051 0041 0068 0006 0875 0005 -2551B Cooperativo do Brasil SA N 0053 0044 0134 0018 0910 0006 -151Banco Topazio SA N 0066 0035 0128 0036 0837 0005 -2981Banco Gerador SA N 0082 0045 0157 0043 0854 0007 -1967Banco Randon SA N 0106 0026 0312 0105 0786 0005 -4204Parana Banco SA N 0048 0025 0102 0018 0787 0008 -2768Banco Triangulo SA N 0054 0027 0088 0021 0834 0004 -427Banco Guanabara SA N 0051 0023 0161 0025 0780 0004 -5659Banco Cedula SA N 0069 0012 0360 0065 0735 0003 -1028Banco Cacique SA N 0073 0027 0240 0075 0786 0016 -1327Banco Luso Brasileiro SA N 0065 0026 0242 0047 0852 0004 -346Banco Pecunia SA N 0045 0037 0056 0006 0773 0003 -7139Banco Zogbi SA N 0048 0036 0064 0010 0779 0001 -15057Banco Daycoval SA N 0055 0022 0126 0030 0784 0004 -568Banco John Deere SA N 0056 0018 0125 0031 0757 0003 -8084Banco AJ Renner SA N 0051 0025 0077 0013 0829 0006 -2763ABN Amro F 0053 0038 0074 0013 0909 0002 -4803Chase F 0066 0014 0220 0046 0793 0008 -2711LLoyds F 0050 0026 0060 0011 0825 0003 -5323BankBoston F 0054 0038 0092 0018 0899 0006 -1734Santander Brasil F 0056 0033 0098 0019 0885 0007 -1529Citibank F 0059 0025 0145 0030 0872 0003 -421BNL F 0052 0039 0091 0018 0840 0006 -2854Sudameris F 0053 0046 0062 0005 0961 0011 -352Societe Generale F 0058 0023 0144 0028 0827 0006 -2968Europeu F 0052 0031 0069 0012 0849 0007 -23ABC-Brasil F 0051 0028 0091 0015 0815 0003 -6225Dresdner F 0078 0017 0271 0071 0816 0005 -339AGF Braseg F 0050 0030 0094 0015 0797 0004 -4873HSBC F 0057 0045 0116 0016 0966 0006 -562Deutsche F 0066 0013 0151 0034 0858 0004 -3316BNP Paribas F 0050 0036 0071 0010 0823 0005 -3772Barclays F 0057 0024 0102 0025 0777 0007 -3003Rabobank Int Brasil SA F 0057 0021 0157 0026 0842 0003 -5266B Nat de Paris Brasil SA F 0059 0023 0102 0030 0812 0006 -3387Ibibank SA - Banco Multiplo F 0056 0012 0100 0023 0781 0015 -148Dresdner Bank - B Multiplo F 0084 0016 0237 0064 0771 0008 -2798Banco Westlb Do Brasil SA F 0061 0033 0101 0025 0841 0010 -1646Banco GE Capital SA F 0063 0031 0238 0044 0853 0010 -1548B Com Uruguai SA F 0074 0020 0226 0056 0833 0003 -51921S - State-owned bank N - National bank and F - Foreign bank

48

Table A10 Estimates of Lerner index and return to scale by bank - Model (5)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0043 0093 0012 0940 0007 -834Banrisul S 0054 0041 0083 0009 0949 0008 -668BEC S 0046 0020 0075 0014 0846 0009 -1719BRB S 0058 0032 0121 0017 0960 0002 -1607BB S 0056 0037 0087 0010 0981 0006 -321Caixa Economica Federal S 0061 0050 0156 0019 1044 0003 1282B da Amazonia SA S 0057 0016 0115 0023 0843 0008 -2023B do Estado Do Para SA S 0059 0027 0102 0020 0938 0004 -1608B do E Do Maranhao SA S 0052 0042 0064 0006 0939 0015 -418B do E Do Piauı SA - Bep S 0054 0029 0138 0025 0866 0004 -3097B do Estado De Sergipe SA S 0059 0024 0136 0020 0949 0004 -1404Nossa Caixa - N Banco SA S 0055 0036 0088 0013 0979 0004 -494Bradesco N 0056 0037 0108 0016 0918 0004 -2108Itau N 0058 0031 0213 0033 0894 0003 -3968Safra N 0052 0036 0086 0010 0881 0003 -4388Unibanco N 0053 0037 0085 0013 0892 0001 -7433Mercantil Do Brasil N 0057 0027 0086 0012 0943 0002 -2619BBM N 0075 0015 0292 0063 0784 0005 -447BMC N 0050 0029 0077 0012 0846 0003 -4648BMG N 0067 0017 0220 0051 0777 0003 -7116JMalucelli N 0049 0022 0083 0016 0718 0003 -8879PEBB N 0060 0017 0176 0044 0704 0008 -3743SS N 0059 0032 0223 0041 0798 0007 -2847Sofisa N 0055 0021 0112 0022 0804 0002 -9624BIC N 0060 0032 0238 0041 0853 0005 -2725Schahin N 0055 0028 0228 0038 0836 0006 -2575Stock N 0082 0019 0267 0068 0821 0006 -3063Pine N 0052 0022 0096 0018 0808 0004 -5392Socopa N 0055 0027 0113 0016 0889 0003 -3694Intercap N 0060 0023 0210 0037 0814 0006 -2856Indusval N 0062 0029 0245 0044 0857 0005 -3023Bonsucesso N 0053 0020 0113 0022 0781 0005 -3999Industrial do Brasil N 0051 0030 0084 0016 0808 0002 -9274Votorantim N 0052 0037 0130 0022 0816 0008 -2227Cacique N 0049 0024 0065 0012 0775 0005 -4632Inter Amex N 0052 0034 0067 0011 0837 0007 -2236Alfa N 0047 0041 0056 0004 0804 0002 -11448Rendimento N 0053 0022 0079 0011 0874 0008 -1549Bancoob N 0056 0050 0064 0005 0856 0003 -4874Original N 0087 0018 0288 0093 0728 0006 -4259Banco Intermedium SA N 0055 0027 0078 0019 0744 0006 -4047

Table A10 ndash Continue on next page

49

Table A10 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0217 0048 0763 0003 -7417Banco BBN SA N 0051 0026 0075 0014 0820 0012 -1504B Cooperativo Sicredi SA N 0051 0040 0061 0005 0876 0005 -2499B Cooperativo do Brasil SA N 0054 0043 0136 0019 0912 0006 -1445Banco Topazio SA N 0061 0034 0109 0026 0838 0006 -2897Banco Gerador SA N 0073 0052 0124 0026 0855 0008 -1918Banco Randon SA N 0120 0024 0327 0114 0785 0005 -4153Parana Banco SA N 0048 0026 0106 0020 0786 0008 -2732Banco Triangulo SA N 0055 0027 0111 0022 0834 0004 -4227Banco Guanabara SA N 0052 0024 0153 0024 0779 0004 -5589Banco Cedula SA N 0069 0012 0339 0062 0734 0003 -10232Banco Cacique SA N 0076 0027 0246 0076 0785 0016 -1317Banco Luso Brasileiro SA N 0067 0027 0207 0047 0852 0004 -3379Banco Pecunia SA N 0046 0038 0054 0006 0773 0003 -71Banco Zogbi SA N 0047 0037 0061 0010 0778 0001 -14931Banco Daycoval SA N 0054 0022 0126 0026 0782 0004 -5661Banco John Deere SA N 0056 0018 0129 0031 0756 0003 -8043Banco AJ Renner SA N 0053 0025 0080 0015 0829 0006 -2716ABN Amro F 0053 0038 0074 0012 0908 0002 -4751Chase F 0067 0014 0225 0047 0792 0008 -2693LLoyds F 0049 0025 0064 0012 0824 0003 -5227BankBoston F 0054 0037 0096 0020 0899 0006 -1701Santander Brasil F 0057 0033 0103 0019 0884 0008 -1511Citibank F 0059 0026 0154 0028 0871 0003 -4204BNL F 0052 0037 0097 0020 0840 0006 -28Sudameris F 0052 0045 0058 0005 0962 0011 -334Societe Generale F 0060 0023 0151 0031 0827 0006 -2924Europeu F 0050 0032 0066 0012 0849 0007 -2263ABC-Brasil F 0051 0025 0079 0014 0814 0003 -617Dresdner F 0080 0017 0276 0073 0816 0005 -3374AGF Braseg F 0050 0031 0093 0015 0796 0004 -4812HSBC F 0057 0043 0093 0011 0966 0006 -541Deutsche F 0066 0013 0155 0035 0858 0004 -3244BNP Paribas F 0050 0035 0067 0008 0822 0005 -3775Barclays F 0056 0024 0113 0025 0778 0007 -305Rabobank Int Brasil SA F 0057 0021 0163 0027 0842 0003 -5208B Nat de Paris Brasil SA F 0058 0022 0100 0029 0812 0006 -3343Ibibank SA - Banco Multiplo F 0057 0012 0099 0023 0780 0015 -1478Dresdner Bank - B Multiplo F 0087 0016 0244 0068 0770 0008 -2768Banco Westlb Do Brasil SA F 0063 0034 0106 0026 0841 0010 -1625Banco GE Capital SA F 0064 0032 0247 0046 0853 0010 -1522B Com Uruguai SA F 0073 0019 0191 0049 0833 0003 -50981S - State-owned bank N - National bank and F - Foreign bank

50

Table A11 Estimates of Lerner index and return to scale by bank - Model (6)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0036 0096 0015 0939 0007 -855Banrisul S 0050 0035 0098 0014 0938 0008 -82BEC S 0041 0019 0067 0012 0855 0009 -1644BRB S 0053 0029 0124 0018 0956 0002 -1996BB S 0051 0032 0088 0013 0954 0006 -807Caixa Economica Federal S 0054 0040 0094 0012 1014 0003 475B da Amazonia SA S 0053 0015 0103 0022 0846 0008 -205B do Estado Do Para SA S 0051 0028 0074 0013 0943 0004 -1319B do E Do Maranhao SA S 0041 0031 0059 0008 0950 0014 -346B do E Do Piauı SA - Bep S 0042 0028 0084 0012 0879 0004 -2727B do Estado De Sergipe SA S 0052 0022 0153 0022 0953 0003 -1377Nossa Caixa - N Banco SA S 0047 0032 0081 0014 0969 0004 -74Bradesco N 0052 0032 0097 0019 0898 0004 -2645Itau N 0054 0027 0190 0031 0877 0003 -4452Safra N 0049 0032 0100 0015 0872 0003 -5056Unibanco N 0043 0032 0067 0010 0878 0001 -8666Mercantil Do Brasil N 0053 0026 0087 0017 0938 0002 -3104BBM N 0066 0013 0251 0056 0792 0005 -4556BMC N 0041 0026 0069 0011 0850 0003 -4582BMG N 0067 0016 0228 0057 0781 0003 -6611JMalucelli N 0051 0022 0089 0017 0725 0003 -9344PEBB N 0046 0015 0157 0039 0728 0008 -3313SS N 0058 0025 0230 0046 0801 0007 -292Sofisa N 0053 0020 0119 0025 0809 0002 -8846BIC N 0060 0029 0262 0049 0852 0005 -2697Schahin N 0049 0025 0229 0040 0843 0006 -2523Stock N 0081 0017 0284 0072 0836 0005 -2986Pine N 0049 0021 0112 0019 0812 0004 -5267Socopa N 0050 0026 0095 0015 0900 0003 -3515Intercap N 0055 0021 0196 0035 0828 0006 -2899Indusval N 0061 0029 0262 0049 0863 0005 -2762Bonsucesso N 0052 0019 0123 0026 0791 0005 -3885Industrial do Brasil N 0046 0027 0088 0015 0816 0002 -8698Votorantim N 0051 0027 0139 0027 0813 0007 -262Cacique N 0039 0022 0050 0009 0784 0005 -4707Inter Amex N 0045 0027 0064 0012 0843 0006 -2493Alfa N 0044 0033 0068 0009 0805 0002 -12111Rendimento N 0050 0022 0073 0010 0883 0008 -1543Bancoob N 0066 0055 0072 0007 0856 0003 -4559Original N 0098 0020 0294 0094 0735 0006 -4509Banco Intermedium SA N 0057 0024 0085 0022 0756 0006 -4324

Table A11 ndash Continue on next page

51

Table A11 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0061 0017 0195 0048 0777 0003 -7233Banco BBN SA N 0042 0023 0059 0012 0831 0011 -1529B Cooperativo Sicredi SA N 0048 0035 0066 0009 0879 0005 -2672B Cooperativo do Brasil SA N 0046 0034 0119 0017 0917 0006 -1439Banco Topazio SA N 0070 0031 0129 0036 0853 0005 -2776Banco Gerador SA N 0086 0057 0148 0034 0867 0007 -1825Banco Randon SA N 0126 0028 0331 0114 0799 0005 -4136Parana Banco SA N 0039 0023 0082 0015 0798 0008 -2556Banco Triangulo SA N 0052 0025 0116 0025 0840 0004 -4363Banco Guanabara SA N 0048 0021 0100 0019 0792 0004 -5683Banco Cedula SA N 0067 0013 0356 0067 0749 0002 -10205Banco Cacique SA N 0067 0026 0232 0073 0792 0015 -1356Banco Luso Brasileiro SA N 0065 0025 0237 0052 0864 0004 -3163Banco Pecunia SA N 0037 0029 0045 0006 0786 0003 -7158Banco Zogbi SA N 0037 0027 0045 0007 0785 0002 -13921Banco Daycoval SA N 0053 0020 0120 0031 0787 0003 -6088Banco John Deere SA N 0043 0017 0099 0022 0764 0003 -8346Banco AJ Renner SA N 0050 0025 0080 0013 0840 0006 -2706ABN Amro F 0043 0035 0067 0008 0894 0002 -6685Chase F 0059 0014 0189 0040 0803 0007 -2772LLoyds F 0039 0021 0055 0012 0824 0003 -5536BankBoston F 0044 0029 0075 0015 0890 0006 -1965Santander Brasil F 0054 0028 0107 0024 0871 0008 -1694Citibank F 0054 0023 0133 0026 0863 0003 -4787BNL F 0042 0028 0078 0018 0843 0005 -2998Sudameris F 0041 0036 0052 0006 0948 0010 -491Societe Generale F 0054 0020 0118 0025 0834 0006 -2716Europeu F 0038 0029 0049 0008 0856 0006 -2239ABC-Brasil F 0046 0028 0084 0014 0816 0003 -6111Dresdner F 0063 0015 0239 0061 0823 0005 -3888AGF Braseg F 0047 0027 0074 0014 0807 0004 -4477HSBC F 0054 0032 0109 0018 0950 0006 -823Deutsche F 0058 0013 0122 0028 0863 0004 -305BNP Paribas F 0051 0032 0070 0011 0822 0004 -4145Barclays F 0064 0024 0128 0029 0802 0005 -4051Rabobank Int Brasil SA F 0051 0019 0130 0021 0846 0003 -4992B Nat de Paris Brasil SA F 0043 0019 0070 0019 0819 0005 -3429Ibibank SA - Banco Multiplo F 0049 0010 0083 0020 0785 0013 -161Dresdner Bank - B Multiplo F 0087 0016 0261 0066 0783 0007 -2901Banco Westlb Do Brasil SA F 0051 0030 0082 0019 0850 0009 -1643Banco GE Capital SA F 0053 0028 0239 0044 0859 0009 -1544B Com Uruguai SA F 0071 0017 0217 0054 0845 0003 -48451S - State-owned bank N - National bank and F - Foreign bank

52

Seacuterie de Textos para Discussatildeo do Curso de Ciecircncias Econocircmicas ndash FACEUFG ndash TD [078]

EDITORIAL FACE ndash Faculdade de Administraccedilatildeo Ciecircncias Contaacutebeis e Ciecircncias Econocircmicas Curso de Ciecircncias Econocircmicas Direccedilatildeo FACE Prof Moiseacutes Ferreira da Cunha Vice-Direccedilatildeo FACE Profordf Andreacutea Freire de Lucena Coordenaccedilatildeo do Curso de Ciecircncias Econocircmicas Prof Tiago Camarinha Lopes NEPEC ndash Nuacutecleo de Estudos e Pesquisas Econocircmicas Coordenaccedilatildeo Prof Seacutergio Fornazier Meyrelles Filho SEacuteRIE DE TEXTOS PARA DISCUSSAtildeO DO CURSO DE CIEcircNCIAS ECONOcircMICAS DA UFG Coordenaccedilatildeo e Equipe de Editoraccedilatildeo Prof Sandro Eduardo Monsueto Adriana Moura Guimaratildees Matheus Henrique de Arauacutejo Dutra

Endereccedilo Campus Samambaia Preacutedio da FACE ndash Rodovia GoiacircniaNova Veneza km 0 ndash CEP 74690-900 Goiacircnia ndash GO Tel (62) 3521 ndash 1390 URL httpwwwfaceufgbreconomia Publicaccedilatildeo cujo objetivo eacute divulgar resultados de estudos que contam com a participaccedilatildeo de pesquisadores do NEPEC As opiniotildees contidas nesta publicaccedilatildeo satildeo de inteira responsabilidade do(s) autor(es) natildeo representando necessariamente o ponto de vista do NEPEC ou da FACEUFG Eacute permitida a reproduccedilatildeo desde que citada a fonte

Page 20: 1(3(& )$&( 8)* · The Dark Side of Prudential MeasuresI Paulo R. Scalco a, Benjamin M. Tabak1, Anderson M. Teixeira aFaculty of Management, Accounting and Economics, Federal University

severe problems in the estimation process by maximum likelihood In general the tests with

the aggregate models did not reach the convergence of likelihood function even using different

strategies for initial values or optimization algorithm and when the optimization reaches an

optimal state the estimates were inconsistent For this reason we chose to estimate simpler

models including prudential variables separately or at most two when they represented

similar measures

Besides two critical events occurred in the second half of 2008 and significantly changed

the structure and dynamics of the banking industry in Brazil The outbreak of the subprime

crisis in the US and the acquisition of Unibanco by Itau in Brazil5 Itau-Unibanco has become

the largest bank in Brazil (Itau-Unibanco) accounting for 191 of total SFN assets and

184 of the total loan portfolio in the second half of 2008

We can observe the increase in market concentration in Figure 1 which represents HHI

concentration indices for total assets and total credit portfolio The increase in concentra-

tion levels of the banking industry on the other hand also coincides temporarily with the

outbreak of the GFC and an increase in rigidity in prudential instruments after the onset of

the crisis6

These events result in a high correlation between the variables and making it more

difficult to isolate the effects of each variable on the parameter of market power In this

way we also chose to estimate an HHI-only model as the control variable of market power

(uit)

Figure 1 Evolution of the Herfindahl Index (HHI) over time using credit and total assets

for the Brazilian banking system

We summarize the description of the variables that we will use in the estimation of

5Unibanco was the sixth largest Brazilian bank in the first half of 2008 accounting for 59 of total SFNassets and 6 of the total loan portfolio Also Itau was the third largest bank with 118 of SFN and119 of the loan portfolio

6Cubillas amp Suarez (2018) find the same result as the banksrsquo market power increased shortly after theGFC

18

equation 16 and how we calculate them in Table 1 All variables included in equation 16

except for trend prudential variables an HHI are in the logarithms form

Table 1 Variables used to IDF estimatation

5 Empirical Results

We present the results of the models in Table 2 Initially focusing on the interpretation

of the parameters of the input-distance function we verified that the size of the IF credit

portfolio (lnY ) has a negative sign but it was significant only for models 1 4 and 5 This

result implies that the larger the portfolio size the lower the revenue-cost ratio of the FI

Table 2 Results of IDF estimation

The coefficients of Staff costs (lnx1) and volume of funding (lnx2) were also negative

and significant in all models Thus the higher the staff costs and the higher the funding

volume the lower the cost-to-cost ratio of the FIs The trend variable as established by

equation 23 represents the scale bias and the negative sign would indicate that technological

change would increase economies of scale over time however no estimate was significant

51 Impact of Prudential Measures on Mark-up

The evaluation of the variables that determine the mark-up parameter (u) shows that

all of them are statistically significant and positive The SFA model is not linear in these

parameters Therefore the value of the coefficients does not represent the effect of the

magnitude of changes in the variables on the mark-up (their elasticities) However we can

estimate their marginal effects We present them for each variable in Figure 2

19

Figure 2 Marginal effects of HHI and prudential instruments (Capital Buffer Capital

RequirementLTV Reserve Requirement (Foreign) Reserve Requirement (domestic) and

cumulative prud) on themark-upucomponent

The positive sign of HHI in model 2 means that the more concentrated the banking

industry is the higher the market power of FIs This result is in line with that established by

the traditional structure-conduct-performance paradigm (Schmalensee 1989) However as

can be seen in Figure 1 the increase in the concentration index coincides with the tightening

of the prudential measures stemming from the GFC In this sense we can not say whether

this is the real effect of the increase in market concentration on the market power of FIs or

whether it is affected by the tightening of prudential measures

If we focus on prudential instruments the results for capital buffers and the capital

requirement (model 3) indicate that a tightening in these variables - whose purpose is to

increase banksrsquo capital reserve during positive shocks in the economy - has a detrimental

effect on competition market since they raise the IF mark-ups This effect happens because

this prudential measure influences the smoothing of the credit supply cycle

The same results are present for the loan-to-value variable (model 4) In general this

measure sets limits on the leverage of mortgages and other securities and a tightening in

ltv is effective in controlling possible booms in the real estate market by reducing real estate

prices and ultimately reducing the excess volatility of the economy ((Zhang amp Zoli 2016

Ely et al 2019) According to the result found the higher the limits the greater the market

power of the FIs

With respect to reserve requirements both in foreign and local currency - credit limits

directly in foreign currency and domestic currency respectively - the results (model 5) also

demonstrate a detrimental effect on competition since the tightening in such measures also

implies an increase mark-up of IFs In the model 6 where we introduce the aggregate

prudential measure the result found is similar to the others that is the higher the tightness

(in general) in the prudential measures of the financial system the higher the market power

of FIs

20

Unfortunately since prudential variables represent only a measure of tightening or loos-

ening of prudential policy and not its magnitude we can not accurately assess the impact

of these variables on the mark-up The marginal effects represented in Figure 2 give us only

an idea of how such variables affected the estimated mark-ups

However in general we can say that the positive signs of the estimates mean that the

higher the tightness in these prudential policies the greater the mark-up and consequently

the higher the market power of the FIs Therefore we find a perverse effect on industry

competition and probably a loss of borrowers welfare

Our results are in accordance with the evidence that the increase in prudential rigor has

negative impacts mainly on the supply of credit (Lim et al 2011 Claessens 2015 Aiyar

et al 2014 Gropp et al 2018 Cerutti et al 2017a) Ceteris paribus the increase of IF

mark-ups would be a fully expected effect As highlighted by Claessens amp Laeven (2004) any

policy that restricts the activity of banks and hinders their operation has negative impacts

on market competition

52 Estimation of Lerner indices

Regarding the mark-up estimation the values reported at the bottom of Table 2 corre-

spond to the distance between the observed revenue-cost ratio and its competitive boundary

that is the component u

To interpret the mark-up however we will focus the discussion on the estimates of

Lerner index (equation 21) because they have a more unambiguous economic meaning We

summarize the results of Lerner index for general estimates by type of control and for each

model in Table 3 and the Figure 3 shows their frequency distributions We should emphasize

that these estimates are individuals that is we obtain the estimates for each IF and at each

period t The tables in Annex (A6 to A11) summarizes the estimates of the Lerner index

and the returns to scale for each IF in the sample

Table 3 Estimates of Lerner index general and by type of control

21

Figure 3 Frequency distribution of Lerner indexes for each model and density estimation

Kernel by typeof control

For all six models all mark-up estimates were within the theoretical range of 0 and 1

with the minimum value being 0009 (model 2) and the maximum value 0362 (model 3) In

general the estimated average value was between 0051 (model 2) and 0058 (models 1 and

5) which means that on average Brazilian banks have a mark-up between 51 and 58

These values are slightly different when we separate the estimates by type of control

In the case of state-owned banks the average mark-up was between 0047 (model 2)

and 0057 (model 1) These values are lower in all the estimated models to the values

of (privates) national banks (0052-0057) and foreign banks (0050-0061) However the

medians of estimated values for state-owned banks were higher than the national and foreign

private banks in all models

For comparison purposes these values are considerably lower than the value (016) esti-

mated for Brazil in Coccorese (2014) We believe that this difference is due to the model and

sample used Coccorese (2014) has estimated the dual version of model (equation 5) and

as highlighted by Kumbhakar et al (2012) the use of accounting information to calculate

input prices can generate problems when they are endogenous

Regarding the sample Coccorese (2014) also used a different period from ours (1994 to

2012) and a more significant number of IFs in the sample (189 against 83 used by us) The

main difference here is in the number of IF - 106 in total In this respect it is essential to

note that these FIs constitute small FIs and in the second half of 2014 they held only 37

of total SFN assets and 24 of the total credit portfolio

We tried to replicated the Coccoresersquo sample but in preliminary tests we have found great

difficulties in the models estimations in particular at convergence of likelihood function

We observed these small IFs had in several situations extremely high values for the revenue-

cost ratio or excessively low for the inputs used (personnel expenses and funding) as well

as other problems such as launch errors (positive values in variables of expenditure for

example) and missings For these reasons and considering that such IFs represented only a

22

small fraction of Brazilian credit market we decided to exclude them from the sample

However It is worth highlight as they are small FIs the vast majority operate in particular

segments of the credit market and probably assume a more risk-taking behavior Considering

that they will work with a segment of credit claimants with rdquoworse scoresrdquo than borrowers

using large FIs we expect that the mark-up of these IFs will be higher We can observe

(part of) this phenomenon in Figure 4 where we represent the estimates of the Lerner index

(vertical axis) against market share of total assets (horizontal axis) of our sample and it is

quite evident the smaller banks have the higher mark-ups Therefore as our sample exclude

a large proportion of these small IFs it is natural that Coccorese (2014)rsquo results larger than

ours

Figure 4 Lerner indexes according to the size (market share) of banksrsquo assets

Regardless of this our results seem to adhere well to reality because if we look at Figure

5 we note that the Lerner indices show a significant increase from the second semester of

2008 These results are in agreement with the results of Cubillas amp Suarez (2018) Besides

in Figure 6 Lerner indexes are separated by type of control and we can observe that with

some exceptions the market power has always been lower for state-owned banks especially

considering the period after the GFC

Figure 5 Average Lerner indices for each model between 2000q2 and 2014q4

Figure 6 Average Lerner indices estimated for public private national and private

foreign banks between2000q2 and 2014q4

23

53 Estimation of Returns to Scale

Finally Table 4 and Figure 7 summarize the estimates of returns to scale We highlight

that the average of the returns to the scale of the Brazilian FIs is very close if we comparer

the six estimated models (between 0848 and 0851) Although the values are close to unity

in all IFs we reject the hypotheses of constant returns to the scale that is RTS = 1 therefore

IFs have diseconomies of scale

Table 4 Estimates of returns to scale by control type and general

When we separate estimates by type of control the estimates of state-owned banks

(0937-0944) are higher than national (0824-0829) and foreign banks (0841-0844) This

result means that the scale problem is a problem common to all FIs in Brazil Moreover

state-owned banks runs closer to the constant return region than national and foreign banks

Figure 7 Frequency distribution of the returns to scale indexes for each model and

density estimationKernel by type of control

6 Final Considerations

Considering that the banking industry underwent a significant restructuring in recent

years caused by several mergers and acquisitions in the sector as well as by a severe financial

crisis started in mid 2007 and potentialized in 2008 understand the behavior of market

power and as a (partial) set of prudential instruments influencing this dynamic has become

paramount Thus in an innovative way this paper proposed the use of stochastic frontier

analysis techniques to measure market power for the Brazilian banking industry and to test

if such prudential measures had an impact on the competitive dynamics of sector

The estimated average Lerner index was between 51 and 58 for Brazilian FIs How-

ever when controlled by the type of control we find that state-owned banks have slightly

24

lower estimates than national and foreign banks respectively Also estimates of returns to

scale allow us to infer that FIs operate with diseconomies of scale

Concerning the impact of prudential measures on the market power of FIs our results

generally suggest that tightening of prudential measures have a positive impact on bank

mark-up and consequently have detrimental effects on competition in industry banking

Finally in future research it will be possible to better understand the influence of some

prudential measures in the banking market through the study by type of segment or line of

credit

25

References

Aiyar S Calomiris C W amp Wieladek T (2014) Does macro-prudential regulation leak ev-

idence from a uk policy experiment Journal of Money Credit and Banking 46 181ndash214

URL httpsonlinelibrarywileycomdoiabs101111jmcb12086 doi101111jmcb12086

arXivhttpsonlinelibrarywileycomdoipdf101111jmcb12086

Altunbas Y Binici M amp Gambacorta L (2018) Macroprudential policy and bank risk Journal of

International Money and Finance 81 203ndash220 doihttpsdoiorg101016jjimonfin201711

012

Araujo L A D d amp Jorge Neto P d M (2007) Risco e competicao bancaria no Brasil Revista Brasileira

de Economia 61 175ndash200 URL httpwwwscielobrscielophpscript=sci_abstractamppid=

S0034-71402007000200003amplng=enampnrm=isoamptlng=pt doi101590S0034-71402007000200003

Auer R amp Ongena S (2019) The countercyclical capital buffer and the composition of bank lending

Available at SSRN 3345189

Ayyagari M Beck T amp Peria M (2018) The micro impact of macroprudential policies Firm-level

evidence IMF Working Paper

Barbosa K de Paula Rocha B amp Salazar F (2015) Assessing competition in the banking indus-

try A multi-product approach Journal of Banking amp Finance 50 340ndash362 URL httpwww

sciencedirectcomsciencearticlepiiS0378426614001642 doi101016jjbankfin201405

003

Belaisch A (2003) Do Brazilian Banks Compete SSRN Scholarly Paper ID 879189 Social Science Research

Network Rochester NY URL httpspapersssrncomabstract=879189

Bikker J A Shaffer S amp Spierdijk L K (2012) Assessing competition with the panzar-rosse model

The role of scale costs and equilibrium Economics Letters 94 1025ndash1044

Bresnahan T F (1982) The oligopoly solution concept is identified Economics Letters 10 87ndash92 URL

httpdxdoiorg1010160165-1765(82)90121-5 doi1010160165-1765(82)90121-5

Bresnahan T F amp Reiss P (1991) Entry and competition in concentrated markets Journal of Political

Economy 99 977ndash1009

Camors C amp Peydro J (2014) Macroprudential and monetary policy Loan-level evidence from reserve

requirement Mimeo Universitat Pompeu Fabra URL httpspdfssemanticscholarorgd508

61639bb4e7453a7a39184edf9b0c1e7016a6pdf

Cardoso M Azevedo P F amp Barbosa K (2016) Concorrencia no setor bancario brasileiro bancos

individuais versus conglomerados bancarios (pp 113ndash146) URL httprepositorioipeagovbr

handle110586650

Cerutti E Claessens S amp Laeven L (2017a) The use and effectiveness of macroprudential policies New

26

evidence Journal of Financial Stability 28 203ndash224 doihttpsdoiorg101016jjfs201510

004

Cerutti E Correa R Fiorentino E amp Segalla E (2016) Changes in prudential policy instruments ndash a

new cross-country database IMF Working Paper WP1610

Cerutti E Dagher J amp DellrsquoAriccia G (2017b) Housing finance and real-estate booms A cross-country

perspective Journal of Housing Economics 38 1ndash13

Claessens S (2015) An overview of macroprudential policy tools Annual Re-

view of Financial Economics 7 397ndash422 URL httpsdoiorg101146

annurev-financial-111914-041807 doi101146annurev-financial-111914-041807

arXivhttpsdoiorg101146annurev-financial-111914-041807

Claessens S Ghosh S R amp Mihet R (2013) Macro-prudential policies to mitigate financial system

vulnerabilities Journal of International Money and Finance 39 153ndash185 doihttpsdoiorg10

1016jjimonfin201306023

Claessens S amp Laeven L (2004) What drives bank competition some international evidence Journal

of Money Credit and Banking 36 563ndash583 URL httpwwwjstororgstable3838954

Coccorese P (2014) Estimating the Lerner index for the banking industry a stochastic frontier approach

Applied Financial Economics 24 73ndash88 URL httpdxdoiorg101080096031072013866202

doi101080096031072013866202

Coelho C A De Mello J M amp Rezende L (2013) Do Public Banks Compete with Private

Banks Evidence from Concentrated Local Markets in Brazil Journal of Money Credit and Bank-

ing 45 1581ndash1615 URL httponlinelibrarywileycomdoi101111jmcb12063abstract

doi101111jmcb12063

Cubillas E amp Suarez N (2018) Bank market power and lending during the global financial crisis Jour-

nal of International Money and Finance 89 1ndash22 URL httpwwwsciencedirectcomscience

articlepiiS0261560618303048 doihttpsdoiorg101016jjimonfin201808003

Das A amp Kumbhakar S C (2016) Markup and efficiency of Indian banks an input distance func-

tion approach Empirical Economics (pp 1ndash31) URL httplinkspringercomarticle101007

s00181-015-1062-4 doi101007s00181-015-1062-4

Ely R Tabak B amp Teixeira A (2019) Heterogeneous effects of the implementation of macroprudential

policies on bank risk MPRA Paper No94546

Freixas X Laeven L amp Peydro J-L (2015) Systemic Risk Crises and Macroprudential Regulation

Mit Press URL httpwwwjstororgstablejctt17kk82g

Galati G amp Moessner R (2013) Macroprudential policy ndash a literature review Jour-

nal of Economic Surveys 27 846ndash878 URL httpsonlinelibrarywileycom

27

doiabs101111j1467-6419201200729x doi101111j1467-6419201200729x

arXivhttpsonlinelibrarywileycomdoipdf101111j1467-6419201200729x

Gropp R Mosk T Ongena S amp Wix C (2018) Banks Response to Higher Cap-

ital Requirements Evidence from a Quasi-Natural Experiment The Review of Finan-

cial Studies 32 266ndash299 URL httpsdoiorg101093rfshhy052 doi101093rfshhy052

arXivhttpoupprodsislanrfsarticle-pdf32126627185080hhy052pdf

Hyde C E amp Perloff J M (1995) Can market power be estimated Review of Industrial Organization 10

465ndash485 URL httplinkspringercomarticle101007BF01024231 doi101007BF01024231

Igan D amp Kang H (2011) Do loan-to-value and debt-to-income limits work evidence from korea IMF

Working Papers (pp 1ndash34)

Jimenez G Ongena S Peydro J-L amp Saurina J (2017) Macroprudential policy countercyclical bank

capital buffers and credit supply Evidence from the spanish dynamic provisioning experiments Journal

of Political Economy 125 2126ndash2177 URL httpsdoiorg101086694289 doi101086694289

arXivhttpsdoiorg101086694289

Jondrow J Knox Lovell C A Materov I S amp Schmidt P (1982) On the estimation of technical

inefficiency in the stochastic frontier production function model Journal of Econometrics 19 233ndash

238 URL httpwwwsciencedirectcomsciencearticlepii0304407682900045 doi101016

0304-4076(82)90004-5

Klingelhoger J amp Sun R (2019) Macruprudential policy central banks and financial stability Evidence

from china Journal of International Money and Finance 93 19ndash41 URL httpsdoiorg101016

jjimonfin201812015

Kumbhakar S C (2012) Specification and estimation of primal production models European Journal

of Operational Research 217 509ndash518 URL httpwwwsciencedirectcomsciencearticlepii

S0377221711008939 doi101016jejor201109043

Kumbhakar S C Baardsen S amp Lien G (2012) A New Method for Estimating Market Power with

an Application to Norwegian Sawmilling Review of Industrial Organization 40 109ndash129 URL http

linkspringercomarticle101007s11151-012-9339-7 doi101007s11151-012-9339-7

Lerner A P (1934) The Concept of Monopoly and the Measurement of Monopoly Power The Review

of Economic Studies 1 157ndash175 URL httprestudoxfordjournalsorglookupdoi102307

2967480 doi1023072967480

Lim C H Costa A Columba F Kongsamut P Otani A Saiyid M Wezel T amp Wu X (2011)

Macroprudential policy what instruments and how to use them lessons from country experiences IMF

working papers (pp 1ndash85)

Lopez R A He X amp Azzam A (2018) Stochastic frontier estimation of market

28

power in the food industries Journal of Agricultural Economics 69 3ndash17 URL https

onlinelibrarywileycomdoiabs1011111477-955212219 doi1011111477-955212219

arXivhttpsonlinelibrarywileycomdoipdf1011111477-955212219

Lucinda C R (2010) Competition in the Brazilian loan market an empirical analysis Estudos Economicos

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S0101-41612010000400004amplng=enampnrm=isoamptlng=en doi101590S0101-41612010000400004

Moreno R (2011) Policymaking from arsquomacroprudentialrsquoperspective in emerging market economies

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Wong T Fong T Li K-f amp Choi H (2011) Loan-to-value ratio as a macroprudential tool-hong kongrsquos

experience and cross-country evidence

Zhang L amp Zoli E (2016) Leaning against the wind Macroprudential policy in asia Journal of Asian

Economics 42 33ndash52

29

Figure 1 Evolution of the Herfindahl Index (HHI) over time using credit and total assets for theBrazilian banking system

30

Figure 2 Marginal effects of HHI and prudential instruments (Capital Buffer Capital RequirementLTV Reserve Requirement (Foreign) Reserve Requirement (domestic) and cumulative prud) on the

mark-up u component

31

Figure 3 Frequency distribution of Lerner indexes for each model and density estimation Kernel by typeof control

32

Figure 4 Lerner indexes according to the size (market share) of banksrsquo assets

33

Figure 5 Average Lerner indices for each model between 2000q2 and 2014q4

34

Figure 6 Average Lerner indices estimated for public private national and private foreign banks between2000q2 and 2014q4

35

Figure 7 Frequency distribution of the returns to scale indexes for each model and density estimationKernel by type of control

36

Table 1 Variables used to IDF estimatation

Variabel Description SourceBasic variables

TR Total Revenue = Gross Insterest Income (a) + Bank-ing Service Fee Income (d1) + Banking Fee Income(d2) + Other Operating Income (d7)

Inc statIFData

TC Total Cost = Interest Expenses (b) + Personnel Ex-penses (d3) + Administrative Expenses (d4) + TaxExpenses (d5) + Other Operating Expenses (d8)

Inc statIFData

Y Loan Lease and Other Credit Operations by RiskLevel

SummaryIFData

x1 Personnel Expenses (d3) Inc statIFDatax2 Funding (e) LiabilitiesIFDatax3 Equity (j) LiabilitiesIFData

Model variabelslnRC Log of Revenue-Cost ratiolnY Log of total loanlnx1 Log of personnel expenses and equity ratio (x1x3)lnx2 Log of funding and equity ratio (x2x3)T Time

Prudential variables - Deterministic mark-up parametersHHIt HHIt =

sumS2it where Sit

2 is market share of totalasset of bank i on time t

Inc statIFData

cb cumulative change of capital buffer Cerutti et al (2016)cr cumulative change of capital requirement Cerutti et al (2016)ltv cumulative change of loan-to-value Cerutti et al (2016)

rr foreign cumulative change of reserve requirement (foreigncurrency)

Cerutti et al (2016)

rr local cumulative change of reserve requirement (domesticcurrency)

Cerutti et al (2016)

37

Table 2 Results of IDF estimation

Parameters VariablesEstimates

Model Model Model Model Model Model(1) (2) (3) (4) (5) (6)

Parametros da funcao insumo distanciaαY Y lnY -0013 -0003 -0004 -0012 -0011 -0005

(000) (000) (000) (000) (000) (000)α1Y lnx1 -0096 -0095 -0094 -0094 -0096 -0090

(001) (001) (001) (001) (001) (001)α2Y lnx2 -0019 -0022 -0022 -0019 -0020 -0021

(001) (001) (001) (001) (001) (001)αY T T -0000 -0000 -0000 -0000 -0000 -0000

(000) (000) (000) (000) (000) (000)αY const 1153 1010 1035 1134 1129 1057

(005) (007) (005) (005) (005) (006)

Deterministic Mark-up parametersδ1 HHI 764157

(12270)δ1 Capital

Buffer7586(065)

δ2 CapitalReq

4696(160)

δ1 Loan-to-value38511(671)

δ1 ResR(foreign)10730(433)

δ2 ResR(local)2869(126)

δ1 Cum Prud3237(020)

δ0 const minus10601minus10194minus5306 minus9866 minus8577 minus4993(032) (2064) (316) (079) (119) (122)

Distribution of u and vσ2u 2840 1418 1620 2643 2441 1593σ2v 0118 0121 0120 0118 0118 0120λ 2402 1172 1354 2233 2065 1325Log Lik 887404 922033 918606 896019 891991 907817

EstimatesEstimates of Mark-up (u)Avg 0075 0065 0068 0074 0075 00691st quartile 0052 0038 0051 0051 0051 0044Median 0062 0048 0060 0060 0061 00543st quartile 0080 0074 0079 0079 0079 0075std-dev 0053 0054 0053 0053 0054 0054

Note p lt 010 p lt 005 and p lt 001

38

Table 3 Estimates of Lerner index general and by type of control

EstimatesModel Model Model Model Model Model

(1) (2) (3) (4) (5) (6)Mark-up (L) generalAverage 0058 0051 0053 0057 0058 0053std-dev 0032 0034 0034 0032 0032 00331st quartile 0043 0031 0034 0041 0042 0036Median 0051 0039 0044 0050 0050 00453st quartile 0063 0060 0059 0063 0063 0060Mark-up (L) State-owned banksAverage 0057 0047 0049 0056 0056 0050std-dev 0018 0017 0017 0018 0016 00161st quartile 0047 0035 0038 0045 0046 0040Median 0054 0041 0046 0053 0053 00463st quartile 0064 0056 0056 0064 0063 0057Mark-up (L) National banksAverage 0057 0052 0054 0057 0057 0054std-dev 0034 0038 0038 0035 0035 00371st quartile 0041 0030 0033 0040 0041 0035Median 0050 0038 0043 0048 0049 00443st quartile 0061 0061 0060 0061 0062 0060Mark-up (L) Foreign banksAverage 0061 0050 0053 0059 0060 0054std-dev 0034 0033 0032 0034 0034 00321st quartile 0042 0031 0034 0041 0042 0036Median 0052 0040 0044 0051 0051 00453st quartile 0068 0059 0060 0066 0066 0061

Table 4 Estimates of returns to scale by control type and general

ModelState-owned

banksNational

banksForeignbanks

General std-dev Min Max

1 0944 0824 0842 0848 0073 0665 11242 0940 0829 0843 0851 0066 0690 10733 0938 0827 0842 0849 0066 0689 10764 0941 0824 0842 0848 0071 0671 11115 0942 0824 0841 0848 0072 0669 11136 0937 0829 0844 0850 0065 0692 1073

39

Appendix A Attachment Tables

Table A5 Cumulative change on Prudential Measures intensity

TimeCapitalBuffer 2

(cb)

CapitalReq(cr)

Loan-to-Value(ltv)

Reserve Reqlocal curr

(RR local)

Reserve Reqforeign cur

(RR foreign)

CumulativePrudential 3

(Cum Prud)2000q2 -1 0 0 0 -2 -32000q4 -1 0 0 0 -2 -32001q2 -1 0 0 0 -2 -32001q4 0 0 0 0 -1 -12002q2 0 0 0 0 0 02002q4 2 0 0 0 2 42003q2 0 0 0 0 3 32003q4 0 0 0 0 2 22004q2 0 0 0 0 2 22004q4 0 0 0 0 2 22005q2 0 0 0 0 2 22005q4 0 0 0 0 2 22006q2 0 0 0 0 2 22006q4 0 0 0 0 2 22007q2 2 0 0 0 2 42007q4 2 0 0 0 2 42008q2 2 0 0 0 2 42008q4 2 0 0 0 1 32009q2 2 0 0 0 0 22009q4 2 0 0 0 -1 12010q2 2 0 0 0 1 32010q4 3 0 0 0 3 62011q2 3 0 0 1 3 72011q4 4 0 0 2 3 92012q2 3 1 0 2 3 92012q4 3 1 0 1 2 72013q2 3 2 0 0 2 72013q4 3 2 1 0 2 82014q2 3 2 1 0 2 82014q4 2 2 1 0 3 82Sum of capital buffer and others 3Aggregate measure (It is the sum of the change of all other instrument)

40

Table A6 Estimates of Lerner index and return to scale by bank - Model (1)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0042 0082 0009 0940 0007 -85Banrisul S 0055 0041 0084 0009 0952 0008 -635BEC S 0048 0021 0077 0016 0844 0009 -1756BRB S 0058 0033 0100 0015 0961 0003 -1533BB S 0058 0039 0098 0012 0990 0006 -173Caixa Economica Federal S 0063 0051 0174 0022 1052 0004 1458B da Amazonia SA S 0057 0016 0124 0023 0844 0008 -2028B do Estado Do Para SA S 0061 0026 0110 0022 0936 0004 -1764B do Est do Maranhao SA S 0055 0046 0065 0006 0935 0014 -455B do Est do Piauı SA - Bep S 0057 0030 0155 0029 0862 0004 -326B do Estado De Sergipe SA S 0061 0024 0135 0022 0947 0004 -1453Nossa Caixa - N Banco SA S 0057 0036 0090 0013 0981 0004 -444Bradesco N 0056 0038 0114 0015 0925 0004 -1945Itau N 0059 0031 0220 0033 0901 0003 -3797Safra N 0053 0037 0085 0009 0885 0003 -4215Unibanco N 0055 0037 0088 0014 0897 0001 -7054Mercantil Do Brasil N 0057 0027 0077 0011 0945 0002 -2527BBM N 0076 0016 0300 0065 0783 0005 -4464BMC N 0052 0030 0079 0012 0845 0003 -4703BMG N 0065 0017 0208 0045 0779 0003 -729JMalucelli N 0047 0022 0069 0013 0718 0003 -8765PEBB N 0065 0017 0181 0047 0698 0008 -3914SS N 0057 0034 0220 0037 0799 0007 -2839Sofisa N 0054 0021 0092 0020 0804 0002 -9903BIC N 0060 0034 0236 0040 0855 0005 -276Schahin N 0056 0028 0214 0035 0835 0006 -262Stock N 0081 0020 0267 0067 0817 0006 -3107Pine N 0052 0022 0108 0019 0808 0004 -545Socopa N 0056 0027 0120 0017 0886 0003 -3806Intercap N 0060 0023 0212 0037 0812 0007 -2851Indusval N 0062 0030 0246 0043 0857 0005 -3139Bonsucesso N 0052 0020 0092 0018 0779 0005 -4033Industrial do Brasil N 0051 0031 0081 0016 0807 0002 -952Votorantim N 0052 0037 0107 0017 0819 0009 -2117Cacique N 0053 0024 0071 0014 0774 0005 -4621Inter Amex N 0055 0037 0068 0010 0837 0008 -2158Alfa N 0048 0041 0059 0005 0806 0002 -11303Rendimento N 0053 0022 0080 0012 0872 0008 -1562Bancoob N 0052 0046 0056 0003 0856 0003 -5061Original N 0085 0017 0279 0090 0729 0007 -4163Banco Intermedium SA N 0052 0028 0070 0015 0743 0006 -3973

Table A6 ndash Continue on next page

41

Table A6 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0225 0049 0761 0003 -7509Banco BBN SA N 0053 0027 0077 0014 0817 0012 -1509B Cooperativo Sicredi SA N 0052 0043 0062 0005 0875 0005 -2477B Cooperativo do Brasil SA N 0056 0046 0142 0020 0910 0006 -1479Banco Topazio SA N 0060 0035 0110 0027 0834 0006 -2966Banco Gerador SA N 0069 0045 0122 0028 0852 0008 -1968Banco Randon SA N 0109 0023 0320 0109 0783 0005 -4158Parana Banco SA N 0050 0026 0108 0020 0784 0008 -2799Banco Triangulo SA N 0055 0028 0091 0020 0833 0004 -4201Banco Guanabara SA N 0052 0024 0169 0025 0777 0004 -5588Banco Cedula SA N 0068 0012 0339 0061 0731 0003 -10236Banco Cacique SA N 0077 0028 0248 0077 0785 0016 -1309B Luso Brasileiro SA N 0065 0027 0208 0043 0849 0004 -349Banco Pecunia SA N 0047 0039 0060 0006 0770 0003 -7086Banco Zogbi SA N 0051 0038 0067 0011 0778 0001 -15193Banco Daycoval SA N 0054 0023 0131 0026 0783 0004 -5522B John Deere SA N 0059 0018 0133 0033 0756 0003 -7955Banco AJ Renner SA N 0053 0025 0081 0015 0827 0006 -2742ABN Amro F 0056 0039 0079 0014 0914 0002 -427Chase F 0068 0014 0228 0049 0790 0008 -2678LLoyds F 0053 0027 0064 0012 0825 0003 -5159BankBoston F 0057 0040 0099 0020 0902 0006 -1638Santander Brasil F 0057 0034 0097 0017 0890 0008 -146Citibank F 0059 0026 0153 0028 0875 0003 -4039BNL F 0055 0041 0097 0019 0840 0006 -2767Sudameris F 0056 0048 0065 0005 0966 0012 -297Societe Generale F 0060 0024 0153 0031 0826 0006 -299Europeu F 0054 0032 0073 0013 0848 0007 -2287ABC-Brasil F 0052 0025 0082 0014 0815 0003 -6207Dresdner F 0083 0017 0280 0074 0815 0006 -3234AGF Braseg F 0051 0031 0100 0016 0794 0004 -4923HSBC F 0057 0046 0092 0010 0971 0006 -466Deutsche F 0068 0013 0160 0036 0857 0004 -3335BNP Paribas F 0050 0037 0068 0007 0824 0005 -3665Barclays F 0052 0024 0089 0021 0771 0008 -2787Rabobank Int Brasil SA F 0058 0022 0166 0028 0842 0003 -5284B Nat de Paris Br SA F 0063 0023 0109 0033 0811 0006 -3331Ibibank SA - Banco Multiplo F 0059 0012 0106 0024 0781 0015 -1441Dresdner Bank - B Multiplo F 0086 0016 0244 0068 0768 0008 -2746Banco Westlb Do Brasil SA F 0064 0034 0108 0027 0839 0010 -1626Banco GE Capital SA F 0067 0032 0247 0047 0852 0010 -1527B Com Uruguai SA F 0072 0020 0192 0049 0830 0003 -52281S - State-owned bank N - National bank and F - Foreign bank

42

Table A7 Estimates of Lerner index and return to scale by bank - Model (2)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0049 0032 0085 0016 0944 0008 -716Banrisul S 0049 0032 0106 0017 0939 0008 -75BEC S 0032 0016 0046 0008 0860 0009 -1489BRB S 0049 0030 0112 0017 0961 0002 -1681BB S 0049 0032 0091 0016 0948 0006 -845Caixa Economica Federal S 0052 0034 0081 0014 1012 0003 382B da Amazonia SA S 0053 0015 0140 0028 0847 0008 -1922B do Estado Do Para SA S 0046 0029 0063 0009 0952 0005 -963B do Est do Maranhao SA S 0036 0029 0045 0005 0963 0016 -235B do Est do Piauı SA - Bep S 0036 0023 0071 0011 0888 0005 -2314B do Estado De Sergipe SA S 0050 0020 0155 0024 0962 0004 -1043Nossa Caixa - N Banco SA S 0039 0027 0074 0011 0972 0005 -601Bradesco N 0050 0028 0116 0023 0890 0004 -2618Itau N 0052 0024 0222 0037 0869 0003 -4269Safra N 0046 0028 0100 0017 0867 0003 -5042Unibanco N 0035 0028 0054 0007 0873 0001 -8511Mercantil Do Brasil N 0051 0029 0093 0019 0941 0002 -2837BBM N 0063 0012 0213 0048 0790 0005 -4494BMC N 0034 0023 0049 0007 0851 0003 -4266BMG N 0065 0015 0233 0057 0776 0004 -6135JMalucelli N 0052 0018 0080 0016 0720 0003 -9566PEBB N 0037 0014 0108 0025 0732 0009 -3086SS N 0056 0024 0236 0046 0797 0007 -2849Sofisa N 0052 0018 0107 0028 0808 0002 -8115BIC N 0057 0026 0259 0050 0850 0006 -2531Schahin N 0047 0022 0225 0041 0845 0007 -2359Stock N 0078 0017 0287 0071 0843 0006 -2782Pine N 0048 0018 0114 0023 0811 0004 -4973Socopa N 0050 0022 0136 0024 0908 0003 -3089Intercap N 0051 0019 0133 0031 0832 0006 -2759Indusval N 0061 0023 0267 0052 0866 0006 -2437Bonsucesso N 0050 0017 0109 0026 0791 0006 -3655Industrial do Brasil N 0044 0024 0079 0015 0816 0002 -8095Votorantim N 0048 0025 0120 0026 0807 0007 -2721Cacique N 0033 0020 0039 0006 0782 0005 -4597Inter Amex N 0035 0025 0045 0007 0844 0006 -2419Alfa N 0042 0029 0069 0013 0801 0002 -12139Rendimento N 0049 0019 0077 0015 0889 0008 -1394Bancoob N 0065 0057 0073 0006 0855 0003 -4199Original N 0099 0019 0299 0096 0732 0006 -4473Banco Intermedium SA N 0062 0032 0081 0019 0754 0006 -4393

Table A7 ndash Continue on next page

43

Table A7 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0059 0016 0239 0051 0778 0003 -6944Banco BBN SA N 0035 0020 0053 0009 0834 0011 -1466B Cooperativo Sicredi SA N 0045 0032 0070 0011 0881 0005 -2581B Cooperativo do Brasil SA N 0045 0029 0147 0025 0922 0006 -1274Banco Topazio SA N 0076 0043 0138 0038 0861 0005 -2569Banco Gerador SA N 0089 0054 0153 0037 0874 0008 -1645Banco Randon SA N 0122 0029 0335 0113 0803 0005 -388Parana Banco SA N 0033 0020 0062 0011 0800 0009 -234Banco Triangulo SA N 0052 0022 0105 0027 0841 0004 -4148Banco Guanabara SA N 0046 0019 0091 0020 0793 0004 -5561Banco Cedula SA N 0062 0011 0359 0067 0749 0003 -9911Banco Cacique SA N 0049 0020 0157 0048 0791 0016 -1315Banco Luso Brasileiro SA N 0066 0022 0241 0055 0870 0005 -2851Banco Pecunia SA N 0032 0027 0036 0003 0787 0003 -6876Banco Zogbi SA N 0032 0026 0037 0005 0784 0002 -13006Banco Daycoval SA N 0053 0019 0139 0036 0784 0004 -6065Banco John Deere SA N 0035 0016 0073 0016 0761 0003 -8278Banco AJ Renner SA N 0047 0021 0083 0015 0844 0006 -2553ABN Amro F 0035 0027 0047 0006 0889 0002 -7231Chase F 0054 0013 0157 0033 0804 0007 -2702LLoyds F 0033 0020 0043 0008 0821 0003 -5429BankBoston F 0036 0026 0060 0011 0888 0006 -1917Santander Brasil F 0055 0025 0115 0030 0864 0008 -1647Citibank F 0051 0020 0132 0025 0860 0003 -4735BNL F 0036 0026 0062 0012 0843 0005 -2959Sudameris F 0036 0031 0040 0004 0949 0011 -468Societe Generale F 0051 0018 0104 0024 0835 0007 -2454Europeu F 0034 0025 0041 0006 0859 0007 -2076ABC-Brasil F 0043 0026 0086 0015 0813 0003 -5797Dresdner F 0050 0014 0190 0046 0824 0004 -3975AGF Braseg F 0044 0024 0068 0014 0810 0005 -4109HSBC F 0052 0031 0110 0021 0948 0007 -776Deutsche F 0054 0012 0166 0030 0866 0005 -2754BNP Paribas F 0049 0028 0073 0013 0818 0004 -4092Barclays F 0065 0028 0121 0027 0811 0005 -4028Rabobank Int Brasil SA F 0047 0017 0102 0017 0845 0003 -4605B Nat de Paris Brasil SA F 0036 0017 0054 0013 0819 0005 -3304Ibibank SA - Banco Multiplo F 0043 0010 0114 0025 0782 0013 -1623Dresdner Bank - B Multiplo F 0096 0015 0270 0076 0785 0007 -2924Banco Westlb Do Brasil SA F 0041 0026 0062 0013 0853 0010 -154Banco GE Capital SA F 0054 0026 0253 0049 0862 0010 -1444B Com Uruguai SA F 0070 0017 0220 0058 0849 0003 -4471S - State-owned bank N - National bank and F - Foreign bank

44

Table A8 Estimates of Lerner index and return to scale by bank - Model (3)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0034 0090 0016 0941 0008 -772Banrisul S 0051 0032 0108 0016 0938 0008 -772BEC S 0035 0018 0051 0009 0856 0009 -1562BRB S 0052 0032 0122 0018 0958 0002 -1793BB S 0052 0035 0085 0015 0951 0006 -809Caixa Economica Federal S 0054 0039 0098 0014 1015 0003 465B da Amazonia SA S 0053 0014 0113 0024 0845 0008 -1977B do Estado Do Para SA S 0049 0028 0071 0010 0947 0005 -1117B do E do Maranhao SA S 0041 0032 0059 0008 0957 0015 -285B do E do Piauı SA - Bep S 0041 0028 0086 0014 0882 0005 -2518B do Estado De Sergipe SA S 0052 0021 0145 0022 0957 0004 -1182Nossa Caixa - N Banco SA S 0045 0029 0081 0015 0971 0005 -651Bradesco N 0052 0029 0101 0021 0893 0004 -2614Itau N 0054 0025 0203 0034 0872 0003 -4328Safra N 0048 0029 0093 0015 0869 0003 -5008Unibanco N 0041 0028 0067 0010 0874 0001 -8514Mercantil Do Brasil N 0053 0026 0095 0018 0939 0002 -29BBM N 0067 0013 0250 0056 0789 0005 -4501BMC N 0038 0024 0069 0010 0849 0003 -4408BMG N 0067 0015 0233 0058 0776 0004 -6374JMalucelli N 0052 0022 0087 0016 0720 0003 -9426PEBB N 0045 0014 0158 0040 0727 0009 -3192SS N 0057 0025 0231 0046 0797 0007 -287Sofisa N 0053 0018 0116 0026 0807 0002 -8444BIC N 0059 0030 0250 0049 0850 0006 -2596Schahin N 0048 0023 0220 0038 0842 0007 -2424Stock N 0083 0017 0304 0077 0838 0006 -2873Pine N 0049 0019 0105 0020 0810 0004 -5103Socopa N 0050 0026 0111 0018 0903 0003 -3253Intercap N 0055 0020 0196 0036 0828 0006 -283Indusval N 0062 0029 0282 0052 0863 0005 -2588Bonsucesso N 0051 0017 0118 0025 0789 0006 -3771Industrial do Brasil N 0046 0025 0086 0015 0815 0002 -8341Votorantim N 0050 0027 0128 0027 0809 0007 -2664Cacique N 0037 0020 0048 0009 0781 0005 -4645Inter Amex N 0039 0026 0058 0009 0842 0006 -2468Alfa N 0044 0031 0072 0011 0801 0002 -11998Rendimento N 0049 0022 0078 0011 0885 0008 -1463Bancoob N 0066 0057 0077 0007 0854 0003 -4342Original N 0102 0019 0301 0096 0730 0006 -4526Banco Intermedium SA N 0059 0027 0083 0020 0752 0006 -4354

Table A8 ndash Continue on next page

45

Table A8 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0017 0217 0054 0776 0003 -7084Banco BBN SA N 0038 0022 0058 0010 0831 0011 -1492B Cooperativo Sicredi SA N 0047 0035 0071 0010 0879 0005 -259B Cooperativo do Brasil SA N 0046 0035 0128 0020 0919 0006 -1339Banco Topazio SA N 0075 0036 0153 0041 0855 0005 -2657Banco Gerador SA N 0091 0057 0144 0034 0869 0008 -173Banco Randon SA N 0124 0029 0332 0112 0799 0005 -4023Parana Banco SA N 0036 0021 0071 0012 0797 0008 -2452Banco Triangulo SA N 0053 0023 0115 0027 0839 0004 -4256Banco Guanabara SA N 0047 0020 0100 0019 0790 0004 -561Banco Cedula SA N 0066 0012 0362 0068 0747 0003 -10082Banco Cacique SA N 0063 0026 0231 0074 0789 0016 -1336Banco Luso Brasileiro SA N 0066 0026 0249 0053 0865 0005 -2985Banco Pecunia SA N 0034 0029 0041 0004 0784 0003 -7038Banco Zogbi SA N 0036 0027 0046 0006 0782 0002 -13399Banco Daycoval SA N 0054 0019 0131 0034 0784 0004 -607Banco John Deere SA N 0039 0015 0083 0018 0761 0003 -8316Banco AJ Renner SA N 0049 0024 0073 0013 0840 0006 -2621ABN Amro F 0041 0030 0066 0009 0890 0002 -6866Chase F 0059 0013 0173 0039 0801 0007 -2733LLoyds F 0038 0021 0055 0010 0821 0003 -5484BankBoston F 0040 0028 0063 0012 0888 0006 -1931Santander Brasil F 0056 0028 0107 0027 0866 0008 -1663Citibank F 0052 0022 0123 0023 0860 0003 -4735BNL F 0039 0028 0063 0014 0841 0005 -2966Sudameris F 0041 0036 0052 0006 0948 0011 -473Societe Generale F 0052 0020 0103 0022 0833 0006 -2579Europeu F 0038 0030 0049 0007 0856 0007 -2153ABC-Brasil F 0046 0029 0079 0014 0813 0003 -5935Dresdner F 0055 0014 0212 0052 0822 0005 -3913AGF Braseg F 0046 0027 0071 0014 0806 0005 -4276HSBC F 0053 0032 0101 0019 0949 0007 -784Deutsche F 0058 0013 0141 0029 0863 0005 -2878BNP Paribas F 0051 0030 0074 0012 0818 0004 -4118Barclays F 0066 0025 0130 0030 0805 0005 -4123Rabobank Int Brasil SA F 0049 0019 0109 0018 0844 0003 -4752B Nat de Paris Brasil SA F 0041 0019 0069 0018 0817 0005 -3368Ibibank SA - Banco Multiplo F 0046 0010 0095 0021 0781 0014 -1617Dresdner Bank - B Multiplo F 0093 0017 0282 0072 0782 0008 -2899Banco Westlb Do Brasil SA F 0044 0027 0069 0015 0850 0009 -1591Banco GE Capital SA F 0055 0026 0249 0046 0859 0009 -1489B Com Uruguai SA F 0071 0017 0228 0056 0845 0003 -46241S - State-owned bank N - National bank and F - Foreign bank

46

Table A9 Estimates of Lerner index and return to scale by bank - Model (4)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0054 0041 0078 0011 0939 0007 -873Banrisul S 0055 0040 0106 0014 0948 0008 -692BEC S 0046 0020 0072 0014 0846 0009 -1746BRB S 0057 0032 0094 0016 0959 0002 -1673BB S 0057 0038 0095 0014 0981 0006 -33Caixa Economica Federal S 0061 0049 0165 0021 1042 0003 1249B da Amazonia SA S 0056 0015 0117 0022 0844 0008 -2047B do Estado Do Para SA S 0059 0025 0103 0020 0936 0004 -1701B do E Do Maranhao SA S 0052 0044 0062 0005 0936 0014 -448B do E Do Piauı SA - Bep S 0054 0029 0147 0028 0865 0004 -3201B do Estado De Sergipe SA S 0061 0023 0168 0026 0947 0004 -1484Nossa Caixa - N Banco SA S 0054 0035 0085 0012 0977 0004 -547Bradesco N 0056 0036 0107 0017 0919 0004 -2123Itau N 0058 0030 0212 0032 0896 0003 -3979Safra N 0052 0035 0107 0013 0882 0003 -445Unibanco N 0052 0035 0082 0013 0892 0001 -7446Mercantil Do Brasil N 0057 0027 0093 0015 0942 0002 -2687BBM N 0075 0015 0294 0064 0784 0005 -4512BMC N 0050 0029 0074 0011 0846 0003 -472BMG N 0065 0016 0202 0047 0779 0003 -7192JMalucelli N 0048 0022 0071 0014 0720 0003 -8923PEBB N 0061 0016 0172 0044 0704 0008 -382SS N 0056 0033 0213 0037 0799 0007 -2875Sofisa N 0053 0020 0087 0019 0805 0002 -9731BIC N 0061 0033 0269 0048 0854 0005 -2768Schahin N 0053 0027 0205 0034 0836 0006 -2627Stock N 0081 0020 0265 0068 0820 0006 -3122Pine N 0052 0022 0118 0021 0808 0004 -5467Socopa N 0054 0026 0114 0016 0888 0003 -3785Intercap N 0057 0023 0203 0035 0815 0006 -2877Indusval N 0062 0029 0239 0043 0857 0005 -3085Bonsucesso N 0052 0019 0088 0018 0782 0005 -403Industrial do Brasil N 0050 0030 0076 0015 0809 0002 -9427Votorantim N 0051 0036 0102 0017 0817 0008 -2222Cacique N 0050 0023 0067 0013 0776 0005 -4659Inter Amex N 0052 0035 0064 0009 0837 0007 -2226Alfa N 0048 0039 0071 0007 0805 0002 -11484Rendimento N 0052 0022 0076 0013 0874 0008 -1571Bancoob N 0057 0045 0071 0011 0855 0003 -5022Original N 0094 0017 0278 0090 0730 0006 -4242Banco Intermedium SA N 0049 0027 0065 0014 0746 0006 -4054

Table A9 ndash Continue on next page

47

Table A9 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0019 0220 0050 0764 0003 -7516Banco BBN SA N 0050 0027 0072 0013 0819 0012 -1529B Cooperativo Sicredi SA N 0051 0041 0068 0006 0875 0005 -2551B Cooperativo do Brasil SA N 0053 0044 0134 0018 0910 0006 -151Banco Topazio SA N 0066 0035 0128 0036 0837 0005 -2981Banco Gerador SA N 0082 0045 0157 0043 0854 0007 -1967Banco Randon SA N 0106 0026 0312 0105 0786 0005 -4204Parana Banco SA N 0048 0025 0102 0018 0787 0008 -2768Banco Triangulo SA N 0054 0027 0088 0021 0834 0004 -427Banco Guanabara SA N 0051 0023 0161 0025 0780 0004 -5659Banco Cedula SA N 0069 0012 0360 0065 0735 0003 -1028Banco Cacique SA N 0073 0027 0240 0075 0786 0016 -1327Banco Luso Brasileiro SA N 0065 0026 0242 0047 0852 0004 -346Banco Pecunia SA N 0045 0037 0056 0006 0773 0003 -7139Banco Zogbi SA N 0048 0036 0064 0010 0779 0001 -15057Banco Daycoval SA N 0055 0022 0126 0030 0784 0004 -568Banco John Deere SA N 0056 0018 0125 0031 0757 0003 -8084Banco AJ Renner SA N 0051 0025 0077 0013 0829 0006 -2763ABN Amro F 0053 0038 0074 0013 0909 0002 -4803Chase F 0066 0014 0220 0046 0793 0008 -2711LLoyds F 0050 0026 0060 0011 0825 0003 -5323BankBoston F 0054 0038 0092 0018 0899 0006 -1734Santander Brasil F 0056 0033 0098 0019 0885 0007 -1529Citibank F 0059 0025 0145 0030 0872 0003 -421BNL F 0052 0039 0091 0018 0840 0006 -2854Sudameris F 0053 0046 0062 0005 0961 0011 -352Societe Generale F 0058 0023 0144 0028 0827 0006 -2968Europeu F 0052 0031 0069 0012 0849 0007 -23ABC-Brasil F 0051 0028 0091 0015 0815 0003 -6225Dresdner F 0078 0017 0271 0071 0816 0005 -339AGF Braseg F 0050 0030 0094 0015 0797 0004 -4873HSBC F 0057 0045 0116 0016 0966 0006 -562Deutsche F 0066 0013 0151 0034 0858 0004 -3316BNP Paribas F 0050 0036 0071 0010 0823 0005 -3772Barclays F 0057 0024 0102 0025 0777 0007 -3003Rabobank Int Brasil SA F 0057 0021 0157 0026 0842 0003 -5266B Nat de Paris Brasil SA F 0059 0023 0102 0030 0812 0006 -3387Ibibank SA - Banco Multiplo F 0056 0012 0100 0023 0781 0015 -148Dresdner Bank - B Multiplo F 0084 0016 0237 0064 0771 0008 -2798Banco Westlb Do Brasil SA F 0061 0033 0101 0025 0841 0010 -1646Banco GE Capital SA F 0063 0031 0238 0044 0853 0010 -1548B Com Uruguai SA F 0074 0020 0226 0056 0833 0003 -51921S - State-owned bank N - National bank and F - Foreign bank

48

Table A10 Estimates of Lerner index and return to scale by bank - Model (5)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0043 0093 0012 0940 0007 -834Banrisul S 0054 0041 0083 0009 0949 0008 -668BEC S 0046 0020 0075 0014 0846 0009 -1719BRB S 0058 0032 0121 0017 0960 0002 -1607BB S 0056 0037 0087 0010 0981 0006 -321Caixa Economica Federal S 0061 0050 0156 0019 1044 0003 1282B da Amazonia SA S 0057 0016 0115 0023 0843 0008 -2023B do Estado Do Para SA S 0059 0027 0102 0020 0938 0004 -1608B do E Do Maranhao SA S 0052 0042 0064 0006 0939 0015 -418B do E Do Piauı SA - Bep S 0054 0029 0138 0025 0866 0004 -3097B do Estado De Sergipe SA S 0059 0024 0136 0020 0949 0004 -1404Nossa Caixa - N Banco SA S 0055 0036 0088 0013 0979 0004 -494Bradesco N 0056 0037 0108 0016 0918 0004 -2108Itau N 0058 0031 0213 0033 0894 0003 -3968Safra N 0052 0036 0086 0010 0881 0003 -4388Unibanco N 0053 0037 0085 0013 0892 0001 -7433Mercantil Do Brasil N 0057 0027 0086 0012 0943 0002 -2619BBM N 0075 0015 0292 0063 0784 0005 -447BMC N 0050 0029 0077 0012 0846 0003 -4648BMG N 0067 0017 0220 0051 0777 0003 -7116JMalucelli N 0049 0022 0083 0016 0718 0003 -8879PEBB N 0060 0017 0176 0044 0704 0008 -3743SS N 0059 0032 0223 0041 0798 0007 -2847Sofisa N 0055 0021 0112 0022 0804 0002 -9624BIC N 0060 0032 0238 0041 0853 0005 -2725Schahin N 0055 0028 0228 0038 0836 0006 -2575Stock N 0082 0019 0267 0068 0821 0006 -3063Pine N 0052 0022 0096 0018 0808 0004 -5392Socopa N 0055 0027 0113 0016 0889 0003 -3694Intercap N 0060 0023 0210 0037 0814 0006 -2856Indusval N 0062 0029 0245 0044 0857 0005 -3023Bonsucesso N 0053 0020 0113 0022 0781 0005 -3999Industrial do Brasil N 0051 0030 0084 0016 0808 0002 -9274Votorantim N 0052 0037 0130 0022 0816 0008 -2227Cacique N 0049 0024 0065 0012 0775 0005 -4632Inter Amex N 0052 0034 0067 0011 0837 0007 -2236Alfa N 0047 0041 0056 0004 0804 0002 -11448Rendimento N 0053 0022 0079 0011 0874 0008 -1549Bancoob N 0056 0050 0064 0005 0856 0003 -4874Original N 0087 0018 0288 0093 0728 0006 -4259Banco Intermedium SA N 0055 0027 0078 0019 0744 0006 -4047

Table A10 ndash Continue on next page

49

Table A10 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0217 0048 0763 0003 -7417Banco BBN SA N 0051 0026 0075 0014 0820 0012 -1504B Cooperativo Sicredi SA N 0051 0040 0061 0005 0876 0005 -2499B Cooperativo do Brasil SA N 0054 0043 0136 0019 0912 0006 -1445Banco Topazio SA N 0061 0034 0109 0026 0838 0006 -2897Banco Gerador SA N 0073 0052 0124 0026 0855 0008 -1918Banco Randon SA N 0120 0024 0327 0114 0785 0005 -4153Parana Banco SA N 0048 0026 0106 0020 0786 0008 -2732Banco Triangulo SA N 0055 0027 0111 0022 0834 0004 -4227Banco Guanabara SA N 0052 0024 0153 0024 0779 0004 -5589Banco Cedula SA N 0069 0012 0339 0062 0734 0003 -10232Banco Cacique SA N 0076 0027 0246 0076 0785 0016 -1317Banco Luso Brasileiro SA N 0067 0027 0207 0047 0852 0004 -3379Banco Pecunia SA N 0046 0038 0054 0006 0773 0003 -71Banco Zogbi SA N 0047 0037 0061 0010 0778 0001 -14931Banco Daycoval SA N 0054 0022 0126 0026 0782 0004 -5661Banco John Deere SA N 0056 0018 0129 0031 0756 0003 -8043Banco AJ Renner SA N 0053 0025 0080 0015 0829 0006 -2716ABN Amro F 0053 0038 0074 0012 0908 0002 -4751Chase F 0067 0014 0225 0047 0792 0008 -2693LLoyds F 0049 0025 0064 0012 0824 0003 -5227BankBoston F 0054 0037 0096 0020 0899 0006 -1701Santander Brasil F 0057 0033 0103 0019 0884 0008 -1511Citibank F 0059 0026 0154 0028 0871 0003 -4204BNL F 0052 0037 0097 0020 0840 0006 -28Sudameris F 0052 0045 0058 0005 0962 0011 -334Societe Generale F 0060 0023 0151 0031 0827 0006 -2924Europeu F 0050 0032 0066 0012 0849 0007 -2263ABC-Brasil F 0051 0025 0079 0014 0814 0003 -617Dresdner F 0080 0017 0276 0073 0816 0005 -3374AGF Braseg F 0050 0031 0093 0015 0796 0004 -4812HSBC F 0057 0043 0093 0011 0966 0006 -541Deutsche F 0066 0013 0155 0035 0858 0004 -3244BNP Paribas F 0050 0035 0067 0008 0822 0005 -3775Barclays F 0056 0024 0113 0025 0778 0007 -305Rabobank Int Brasil SA F 0057 0021 0163 0027 0842 0003 -5208B Nat de Paris Brasil SA F 0058 0022 0100 0029 0812 0006 -3343Ibibank SA - Banco Multiplo F 0057 0012 0099 0023 0780 0015 -1478Dresdner Bank - B Multiplo F 0087 0016 0244 0068 0770 0008 -2768Banco Westlb Do Brasil SA F 0063 0034 0106 0026 0841 0010 -1625Banco GE Capital SA F 0064 0032 0247 0046 0853 0010 -1522B Com Uruguai SA F 0073 0019 0191 0049 0833 0003 -50981S - State-owned bank N - National bank and F - Foreign bank

50

Table A11 Estimates of Lerner index and return to scale by bank - Model (6)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0036 0096 0015 0939 0007 -855Banrisul S 0050 0035 0098 0014 0938 0008 -82BEC S 0041 0019 0067 0012 0855 0009 -1644BRB S 0053 0029 0124 0018 0956 0002 -1996BB S 0051 0032 0088 0013 0954 0006 -807Caixa Economica Federal S 0054 0040 0094 0012 1014 0003 475B da Amazonia SA S 0053 0015 0103 0022 0846 0008 -205B do Estado Do Para SA S 0051 0028 0074 0013 0943 0004 -1319B do E Do Maranhao SA S 0041 0031 0059 0008 0950 0014 -346B do E Do Piauı SA - Bep S 0042 0028 0084 0012 0879 0004 -2727B do Estado De Sergipe SA S 0052 0022 0153 0022 0953 0003 -1377Nossa Caixa - N Banco SA S 0047 0032 0081 0014 0969 0004 -74Bradesco N 0052 0032 0097 0019 0898 0004 -2645Itau N 0054 0027 0190 0031 0877 0003 -4452Safra N 0049 0032 0100 0015 0872 0003 -5056Unibanco N 0043 0032 0067 0010 0878 0001 -8666Mercantil Do Brasil N 0053 0026 0087 0017 0938 0002 -3104BBM N 0066 0013 0251 0056 0792 0005 -4556BMC N 0041 0026 0069 0011 0850 0003 -4582BMG N 0067 0016 0228 0057 0781 0003 -6611JMalucelli N 0051 0022 0089 0017 0725 0003 -9344PEBB N 0046 0015 0157 0039 0728 0008 -3313SS N 0058 0025 0230 0046 0801 0007 -292Sofisa N 0053 0020 0119 0025 0809 0002 -8846BIC N 0060 0029 0262 0049 0852 0005 -2697Schahin N 0049 0025 0229 0040 0843 0006 -2523Stock N 0081 0017 0284 0072 0836 0005 -2986Pine N 0049 0021 0112 0019 0812 0004 -5267Socopa N 0050 0026 0095 0015 0900 0003 -3515Intercap N 0055 0021 0196 0035 0828 0006 -2899Indusval N 0061 0029 0262 0049 0863 0005 -2762Bonsucesso N 0052 0019 0123 0026 0791 0005 -3885Industrial do Brasil N 0046 0027 0088 0015 0816 0002 -8698Votorantim N 0051 0027 0139 0027 0813 0007 -262Cacique N 0039 0022 0050 0009 0784 0005 -4707Inter Amex N 0045 0027 0064 0012 0843 0006 -2493Alfa N 0044 0033 0068 0009 0805 0002 -12111Rendimento N 0050 0022 0073 0010 0883 0008 -1543Bancoob N 0066 0055 0072 0007 0856 0003 -4559Original N 0098 0020 0294 0094 0735 0006 -4509Banco Intermedium SA N 0057 0024 0085 0022 0756 0006 -4324

Table A11 ndash Continue on next page

51

Table A11 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0061 0017 0195 0048 0777 0003 -7233Banco BBN SA N 0042 0023 0059 0012 0831 0011 -1529B Cooperativo Sicredi SA N 0048 0035 0066 0009 0879 0005 -2672B Cooperativo do Brasil SA N 0046 0034 0119 0017 0917 0006 -1439Banco Topazio SA N 0070 0031 0129 0036 0853 0005 -2776Banco Gerador SA N 0086 0057 0148 0034 0867 0007 -1825Banco Randon SA N 0126 0028 0331 0114 0799 0005 -4136Parana Banco SA N 0039 0023 0082 0015 0798 0008 -2556Banco Triangulo SA N 0052 0025 0116 0025 0840 0004 -4363Banco Guanabara SA N 0048 0021 0100 0019 0792 0004 -5683Banco Cedula SA N 0067 0013 0356 0067 0749 0002 -10205Banco Cacique SA N 0067 0026 0232 0073 0792 0015 -1356Banco Luso Brasileiro SA N 0065 0025 0237 0052 0864 0004 -3163Banco Pecunia SA N 0037 0029 0045 0006 0786 0003 -7158Banco Zogbi SA N 0037 0027 0045 0007 0785 0002 -13921Banco Daycoval SA N 0053 0020 0120 0031 0787 0003 -6088Banco John Deere SA N 0043 0017 0099 0022 0764 0003 -8346Banco AJ Renner SA N 0050 0025 0080 0013 0840 0006 -2706ABN Amro F 0043 0035 0067 0008 0894 0002 -6685Chase F 0059 0014 0189 0040 0803 0007 -2772LLoyds F 0039 0021 0055 0012 0824 0003 -5536BankBoston F 0044 0029 0075 0015 0890 0006 -1965Santander Brasil F 0054 0028 0107 0024 0871 0008 -1694Citibank F 0054 0023 0133 0026 0863 0003 -4787BNL F 0042 0028 0078 0018 0843 0005 -2998Sudameris F 0041 0036 0052 0006 0948 0010 -491Societe Generale F 0054 0020 0118 0025 0834 0006 -2716Europeu F 0038 0029 0049 0008 0856 0006 -2239ABC-Brasil F 0046 0028 0084 0014 0816 0003 -6111Dresdner F 0063 0015 0239 0061 0823 0005 -3888AGF Braseg F 0047 0027 0074 0014 0807 0004 -4477HSBC F 0054 0032 0109 0018 0950 0006 -823Deutsche F 0058 0013 0122 0028 0863 0004 -305BNP Paribas F 0051 0032 0070 0011 0822 0004 -4145Barclays F 0064 0024 0128 0029 0802 0005 -4051Rabobank Int Brasil SA F 0051 0019 0130 0021 0846 0003 -4992B Nat de Paris Brasil SA F 0043 0019 0070 0019 0819 0005 -3429Ibibank SA - Banco Multiplo F 0049 0010 0083 0020 0785 0013 -161Dresdner Bank - B Multiplo F 0087 0016 0261 0066 0783 0007 -2901Banco Westlb Do Brasil SA F 0051 0030 0082 0019 0850 0009 -1643Banco GE Capital SA F 0053 0028 0239 0044 0859 0009 -1544B Com Uruguai SA F 0071 0017 0217 0054 0845 0003 -48451S - State-owned bank N - National bank and F - Foreign bank

52

Seacuterie de Textos para Discussatildeo do Curso de Ciecircncias Econocircmicas ndash FACEUFG ndash TD [078]

EDITORIAL FACE ndash Faculdade de Administraccedilatildeo Ciecircncias Contaacutebeis e Ciecircncias Econocircmicas Curso de Ciecircncias Econocircmicas Direccedilatildeo FACE Prof Moiseacutes Ferreira da Cunha Vice-Direccedilatildeo FACE Profordf Andreacutea Freire de Lucena Coordenaccedilatildeo do Curso de Ciecircncias Econocircmicas Prof Tiago Camarinha Lopes NEPEC ndash Nuacutecleo de Estudos e Pesquisas Econocircmicas Coordenaccedilatildeo Prof Seacutergio Fornazier Meyrelles Filho SEacuteRIE DE TEXTOS PARA DISCUSSAtildeO DO CURSO DE CIEcircNCIAS ECONOcircMICAS DA UFG Coordenaccedilatildeo e Equipe de Editoraccedilatildeo Prof Sandro Eduardo Monsueto Adriana Moura Guimaratildees Matheus Henrique de Arauacutejo Dutra

Endereccedilo Campus Samambaia Preacutedio da FACE ndash Rodovia GoiacircniaNova Veneza km 0 ndash CEP 74690-900 Goiacircnia ndash GO Tel (62) 3521 ndash 1390 URL httpwwwfaceufgbreconomia Publicaccedilatildeo cujo objetivo eacute divulgar resultados de estudos que contam com a participaccedilatildeo de pesquisadores do NEPEC As opiniotildees contidas nesta publicaccedilatildeo satildeo de inteira responsabilidade do(s) autor(es) natildeo representando necessariamente o ponto de vista do NEPEC ou da FACEUFG Eacute permitida a reproduccedilatildeo desde que citada a fonte

Page 21: 1(3(& )$&( 8)* · The Dark Side of Prudential MeasuresI Paulo R. Scalco a, Benjamin M. Tabak1, Anderson M. Teixeira aFaculty of Management, Accounting and Economics, Federal University

equation 16 and how we calculate them in Table 1 All variables included in equation 16

except for trend prudential variables an HHI are in the logarithms form

Table 1 Variables used to IDF estimatation

5 Empirical Results

We present the results of the models in Table 2 Initially focusing on the interpretation

of the parameters of the input-distance function we verified that the size of the IF credit

portfolio (lnY ) has a negative sign but it was significant only for models 1 4 and 5 This

result implies that the larger the portfolio size the lower the revenue-cost ratio of the FI

Table 2 Results of IDF estimation

The coefficients of Staff costs (lnx1) and volume of funding (lnx2) were also negative

and significant in all models Thus the higher the staff costs and the higher the funding

volume the lower the cost-to-cost ratio of the FIs The trend variable as established by

equation 23 represents the scale bias and the negative sign would indicate that technological

change would increase economies of scale over time however no estimate was significant

51 Impact of Prudential Measures on Mark-up

The evaluation of the variables that determine the mark-up parameter (u) shows that

all of them are statistically significant and positive The SFA model is not linear in these

parameters Therefore the value of the coefficients does not represent the effect of the

magnitude of changes in the variables on the mark-up (their elasticities) However we can

estimate their marginal effects We present them for each variable in Figure 2

19

Figure 2 Marginal effects of HHI and prudential instruments (Capital Buffer Capital

RequirementLTV Reserve Requirement (Foreign) Reserve Requirement (domestic) and

cumulative prud) on themark-upucomponent

The positive sign of HHI in model 2 means that the more concentrated the banking

industry is the higher the market power of FIs This result is in line with that established by

the traditional structure-conduct-performance paradigm (Schmalensee 1989) However as

can be seen in Figure 1 the increase in the concentration index coincides with the tightening

of the prudential measures stemming from the GFC In this sense we can not say whether

this is the real effect of the increase in market concentration on the market power of FIs or

whether it is affected by the tightening of prudential measures

If we focus on prudential instruments the results for capital buffers and the capital

requirement (model 3) indicate that a tightening in these variables - whose purpose is to

increase banksrsquo capital reserve during positive shocks in the economy - has a detrimental

effect on competition market since they raise the IF mark-ups This effect happens because

this prudential measure influences the smoothing of the credit supply cycle

The same results are present for the loan-to-value variable (model 4) In general this

measure sets limits on the leverage of mortgages and other securities and a tightening in

ltv is effective in controlling possible booms in the real estate market by reducing real estate

prices and ultimately reducing the excess volatility of the economy ((Zhang amp Zoli 2016

Ely et al 2019) According to the result found the higher the limits the greater the market

power of the FIs

With respect to reserve requirements both in foreign and local currency - credit limits

directly in foreign currency and domestic currency respectively - the results (model 5) also

demonstrate a detrimental effect on competition since the tightening in such measures also

implies an increase mark-up of IFs In the model 6 where we introduce the aggregate

prudential measure the result found is similar to the others that is the higher the tightness

(in general) in the prudential measures of the financial system the higher the market power

of FIs

20

Unfortunately since prudential variables represent only a measure of tightening or loos-

ening of prudential policy and not its magnitude we can not accurately assess the impact

of these variables on the mark-up The marginal effects represented in Figure 2 give us only

an idea of how such variables affected the estimated mark-ups

However in general we can say that the positive signs of the estimates mean that the

higher the tightness in these prudential policies the greater the mark-up and consequently

the higher the market power of the FIs Therefore we find a perverse effect on industry

competition and probably a loss of borrowers welfare

Our results are in accordance with the evidence that the increase in prudential rigor has

negative impacts mainly on the supply of credit (Lim et al 2011 Claessens 2015 Aiyar

et al 2014 Gropp et al 2018 Cerutti et al 2017a) Ceteris paribus the increase of IF

mark-ups would be a fully expected effect As highlighted by Claessens amp Laeven (2004) any

policy that restricts the activity of banks and hinders their operation has negative impacts

on market competition

52 Estimation of Lerner indices

Regarding the mark-up estimation the values reported at the bottom of Table 2 corre-

spond to the distance between the observed revenue-cost ratio and its competitive boundary

that is the component u

To interpret the mark-up however we will focus the discussion on the estimates of

Lerner index (equation 21) because they have a more unambiguous economic meaning We

summarize the results of Lerner index for general estimates by type of control and for each

model in Table 3 and the Figure 3 shows their frequency distributions We should emphasize

that these estimates are individuals that is we obtain the estimates for each IF and at each

period t The tables in Annex (A6 to A11) summarizes the estimates of the Lerner index

and the returns to scale for each IF in the sample

Table 3 Estimates of Lerner index general and by type of control

21

Figure 3 Frequency distribution of Lerner indexes for each model and density estimation

Kernel by typeof control

For all six models all mark-up estimates were within the theoretical range of 0 and 1

with the minimum value being 0009 (model 2) and the maximum value 0362 (model 3) In

general the estimated average value was between 0051 (model 2) and 0058 (models 1 and

5) which means that on average Brazilian banks have a mark-up between 51 and 58

These values are slightly different when we separate the estimates by type of control

In the case of state-owned banks the average mark-up was between 0047 (model 2)

and 0057 (model 1) These values are lower in all the estimated models to the values

of (privates) national banks (0052-0057) and foreign banks (0050-0061) However the

medians of estimated values for state-owned banks were higher than the national and foreign

private banks in all models

For comparison purposes these values are considerably lower than the value (016) esti-

mated for Brazil in Coccorese (2014) We believe that this difference is due to the model and

sample used Coccorese (2014) has estimated the dual version of model (equation 5) and

as highlighted by Kumbhakar et al (2012) the use of accounting information to calculate

input prices can generate problems when they are endogenous

Regarding the sample Coccorese (2014) also used a different period from ours (1994 to

2012) and a more significant number of IFs in the sample (189 against 83 used by us) The

main difference here is in the number of IF - 106 in total In this respect it is essential to

note that these FIs constitute small FIs and in the second half of 2014 they held only 37

of total SFN assets and 24 of the total credit portfolio

We tried to replicated the Coccoresersquo sample but in preliminary tests we have found great

difficulties in the models estimations in particular at convergence of likelihood function

We observed these small IFs had in several situations extremely high values for the revenue-

cost ratio or excessively low for the inputs used (personnel expenses and funding) as well

as other problems such as launch errors (positive values in variables of expenditure for

example) and missings For these reasons and considering that such IFs represented only a

22

small fraction of Brazilian credit market we decided to exclude them from the sample

However It is worth highlight as they are small FIs the vast majority operate in particular

segments of the credit market and probably assume a more risk-taking behavior Considering

that they will work with a segment of credit claimants with rdquoworse scoresrdquo than borrowers

using large FIs we expect that the mark-up of these IFs will be higher We can observe

(part of) this phenomenon in Figure 4 where we represent the estimates of the Lerner index

(vertical axis) against market share of total assets (horizontal axis) of our sample and it is

quite evident the smaller banks have the higher mark-ups Therefore as our sample exclude

a large proportion of these small IFs it is natural that Coccorese (2014)rsquo results larger than

ours

Figure 4 Lerner indexes according to the size (market share) of banksrsquo assets

Regardless of this our results seem to adhere well to reality because if we look at Figure

5 we note that the Lerner indices show a significant increase from the second semester of

2008 These results are in agreement with the results of Cubillas amp Suarez (2018) Besides

in Figure 6 Lerner indexes are separated by type of control and we can observe that with

some exceptions the market power has always been lower for state-owned banks especially

considering the period after the GFC

Figure 5 Average Lerner indices for each model between 2000q2 and 2014q4

Figure 6 Average Lerner indices estimated for public private national and private

foreign banks between2000q2 and 2014q4

23

53 Estimation of Returns to Scale

Finally Table 4 and Figure 7 summarize the estimates of returns to scale We highlight

that the average of the returns to the scale of the Brazilian FIs is very close if we comparer

the six estimated models (between 0848 and 0851) Although the values are close to unity

in all IFs we reject the hypotheses of constant returns to the scale that is RTS = 1 therefore

IFs have diseconomies of scale

Table 4 Estimates of returns to scale by control type and general

When we separate estimates by type of control the estimates of state-owned banks

(0937-0944) are higher than national (0824-0829) and foreign banks (0841-0844) This

result means that the scale problem is a problem common to all FIs in Brazil Moreover

state-owned banks runs closer to the constant return region than national and foreign banks

Figure 7 Frequency distribution of the returns to scale indexes for each model and

density estimationKernel by type of control

6 Final Considerations

Considering that the banking industry underwent a significant restructuring in recent

years caused by several mergers and acquisitions in the sector as well as by a severe financial

crisis started in mid 2007 and potentialized in 2008 understand the behavior of market

power and as a (partial) set of prudential instruments influencing this dynamic has become

paramount Thus in an innovative way this paper proposed the use of stochastic frontier

analysis techniques to measure market power for the Brazilian banking industry and to test

if such prudential measures had an impact on the competitive dynamics of sector

The estimated average Lerner index was between 51 and 58 for Brazilian FIs How-

ever when controlled by the type of control we find that state-owned banks have slightly

24

lower estimates than national and foreign banks respectively Also estimates of returns to

scale allow us to infer that FIs operate with diseconomies of scale

Concerning the impact of prudential measures on the market power of FIs our results

generally suggest that tightening of prudential measures have a positive impact on bank

mark-up and consequently have detrimental effects on competition in industry banking

Finally in future research it will be possible to better understand the influence of some

prudential measures in the banking market through the study by type of segment or line of

credit

25

References

Aiyar S Calomiris C W amp Wieladek T (2014) Does macro-prudential regulation leak ev-

idence from a uk policy experiment Journal of Money Credit and Banking 46 181ndash214

URL httpsonlinelibrarywileycomdoiabs101111jmcb12086 doi101111jmcb12086

arXivhttpsonlinelibrarywileycomdoipdf101111jmcb12086

Altunbas Y Binici M amp Gambacorta L (2018) Macroprudential policy and bank risk Journal of

International Money and Finance 81 203ndash220 doihttpsdoiorg101016jjimonfin201711

012

Araujo L A D d amp Jorge Neto P d M (2007) Risco e competicao bancaria no Brasil Revista Brasileira

de Economia 61 175ndash200 URL httpwwwscielobrscielophpscript=sci_abstractamppid=

S0034-71402007000200003amplng=enampnrm=isoamptlng=pt doi101590S0034-71402007000200003

Auer R amp Ongena S (2019) The countercyclical capital buffer and the composition of bank lending

Available at SSRN 3345189

Ayyagari M Beck T amp Peria M (2018) The micro impact of macroprudential policies Firm-level

evidence IMF Working Paper

Barbosa K de Paula Rocha B amp Salazar F (2015) Assessing competition in the banking indus-

try A multi-product approach Journal of Banking amp Finance 50 340ndash362 URL httpwww

sciencedirectcomsciencearticlepiiS0378426614001642 doi101016jjbankfin201405

003

Belaisch A (2003) Do Brazilian Banks Compete SSRN Scholarly Paper ID 879189 Social Science Research

Network Rochester NY URL httpspapersssrncomabstract=879189

Bikker J A Shaffer S amp Spierdijk L K (2012) Assessing competition with the panzar-rosse model

The role of scale costs and equilibrium Economics Letters 94 1025ndash1044

Bresnahan T F (1982) The oligopoly solution concept is identified Economics Letters 10 87ndash92 URL

httpdxdoiorg1010160165-1765(82)90121-5 doi1010160165-1765(82)90121-5

Bresnahan T F amp Reiss P (1991) Entry and competition in concentrated markets Journal of Political

Economy 99 977ndash1009

Camors C amp Peydro J (2014) Macroprudential and monetary policy Loan-level evidence from reserve

requirement Mimeo Universitat Pompeu Fabra URL httpspdfssemanticscholarorgd508

61639bb4e7453a7a39184edf9b0c1e7016a6pdf

Cardoso M Azevedo P F amp Barbosa K (2016) Concorrencia no setor bancario brasileiro bancos

individuais versus conglomerados bancarios (pp 113ndash146) URL httprepositorioipeagovbr

handle110586650

Cerutti E Claessens S amp Laeven L (2017a) The use and effectiveness of macroprudential policies New

26

evidence Journal of Financial Stability 28 203ndash224 doihttpsdoiorg101016jjfs201510

004

Cerutti E Correa R Fiorentino E amp Segalla E (2016) Changes in prudential policy instruments ndash a

new cross-country database IMF Working Paper WP1610

Cerutti E Dagher J amp DellrsquoAriccia G (2017b) Housing finance and real-estate booms A cross-country

perspective Journal of Housing Economics 38 1ndash13

Claessens S (2015) An overview of macroprudential policy tools Annual Re-

view of Financial Economics 7 397ndash422 URL httpsdoiorg101146

annurev-financial-111914-041807 doi101146annurev-financial-111914-041807

arXivhttpsdoiorg101146annurev-financial-111914-041807

Claessens S Ghosh S R amp Mihet R (2013) Macro-prudential policies to mitigate financial system

vulnerabilities Journal of International Money and Finance 39 153ndash185 doihttpsdoiorg10

1016jjimonfin201306023

Claessens S amp Laeven L (2004) What drives bank competition some international evidence Journal

of Money Credit and Banking 36 563ndash583 URL httpwwwjstororgstable3838954

Coccorese P (2014) Estimating the Lerner index for the banking industry a stochastic frontier approach

Applied Financial Economics 24 73ndash88 URL httpdxdoiorg101080096031072013866202

doi101080096031072013866202

Coelho C A De Mello J M amp Rezende L (2013) Do Public Banks Compete with Private

Banks Evidence from Concentrated Local Markets in Brazil Journal of Money Credit and Bank-

ing 45 1581ndash1615 URL httponlinelibrarywileycomdoi101111jmcb12063abstract

doi101111jmcb12063

Cubillas E amp Suarez N (2018) Bank market power and lending during the global financial crisis Jour-

nal of International Money and Finance 89 1ndash22 URL httpwwwsciencedirectcomscience

articlepiiS0261560618303048 doihttpsdoiorg101016jjimonfin201808003

Das A amp Kumbhakar S C (2016) Markup and efficiency of Indian banks an input distance func-

tion approach Empirical Economics (pp 1ndash31) URL httplinkspringercomarticle101007

s00181-015-1062-4 doi101007s00181-015-1062-4

Ely R Tabak B amp Teixeira A (2019) Heterogeneous effects of the implementation of macroprudential

policies on bank risk MPRA Paper No94546

Freixas X Laeven L amp Peydro J-L (2015) Systemic Risk Crises and Macroprudential Regulation

Mit Press URL httpwwwjstororgstablejctt17kk82g

Galati G amp Moessner R (2013) Macroprudential policy ndash a literature review Jour-

nal of Economic Surveys 27 846ndash878 URL httpsonlinelibrarywileycom

27

doiabs101111j1467-6419201200729x doi101111j1467-6419201200729x

arXivhttpsonlinelibrarywileycomdoipdf101111j1467-6419201200729x

Gropp R Mosk T Ongena S amp Wix C (2018) Banks Response to Higher Cap-

ital Requirements Evidence from a Quasi-Natural Experiment The Review of Finan-

cial Studies 32 266ndash299 URL httpsdoiorg101093rfshhy052 doi101093rfshhy052

arXivhttpoupprodsislanrfsarticle-pdf32126627185080hhy052pdf

Hyde C E amp Perloff J M (1995) Can market power be estimated Review of Industrial Organization 10

465ndash485 URL httplinkspringercomarticle101007BF01024231 doi101007BF01024231

Igan D amp Kang H (2011) Do loan-to-value and debt-to-income limits work evidence from korea IMF

Working Papers (pp 1ndash34)

Jimenez G Ongena S Peydro J-L amp Saurina J (2017) Macroprudential policy countercyclical bank

capital buffers and credit supply Evidence from the spanish dynamic provisioning experiments Journal

of Political Economy 125 2126ndash2177 URL httpsdoiorg101086694289 doi101086694289

arXivhttpsdoiorg101086694289

Jondrow J Knox Lovell C A Materov I S amp Schmidt P (1982) On the estimation of technical

inefficiency in the stochastic frontier production function model Journal of Econometrics 19 233ndash

238 URL httpwwwsciencedirectcomsciencearticlepii0304407682900045 doi101016

0304-4076(82)90004-5

Klingelhoger J amp Sun R (2019) Macruprudential policy central banks and financial stability Evidence

from china Journal of International Money and Finance 93 19ndash41 URL httpsdoiorg101016

jjimonfin201812015

Kumbhakar S C (2012) Specification and estimation of primal production models European Journal

of Operational Research 217 509ndash518 URL httpwwwsciencedirectcomsciencearticlepii

S0377221711008939 doi101016jejor201109043

Kumbhakar S C Baardsen S amp Lien G (2012) A New Method for Estimating Market Power with

an Application to Norwegian Sawmilling Review of Industrial Organization 40 109ndash129 URL http

linkspringercomarticle101007s11151-012-9339-7 doi101007s11151-012-9339-7

Lerner A P (1934) The Concept of Monopoly and the Measurement of Monopoly Power The Review

of Economic Studies 1 157ndash175 URL httprestudoxfordjournalsorglookupdoi102307

2967480 doi1023072967480

Lim C H Costa A Columba F Kongsamut P Otani A Saiyid M Wezel T amp Wu X (2011)

Macroprudential policy what instruments and how to use them lessons from country experiences IMF

working papers (pp 1ndash85)

Lopez R A He X amp Azzam A (2018) Stochastic frontier estimation of market

28

power in the food industries Journal of Agricultural Economics 69 3ndash17 URL https

onlinelibrarywileycomdoiabs1011111477-955212219 doi1011111477-955212219

arXivhttpsonlinelibrarywileycomdoipdf1011111477-955212219

Lucinda C R (2010) Competition in the Brazilian loan market an empirical analysis Estudos Economicos

(Sao Paulo) 40 831ndash858 URL httpwwwscielobrscielophpscript=sci_abstractamppid=

S0101-41612010000400004amplng=enampnrm=isoamptlng=en doi101590S0101-41612010000400004

Moreno R (2011) Policymaking from arsquomacroprudentialrsquoperspective in emerging market economies

Nakane M I (2002) A test of competition in brazilian banking Estudos Economicos (Sao Paulo) 32

203ndash224 URL httpwwwrevistasuspbreearticleview117799

Panzar J C amp Rosse J N (1987) Testing for rdquomonopolyrdquo equilibrium The Journal of Industrial

Economics 35 443ndash456 URL httpwwwjstororgstable2098582 doi1023072098582

Richter B Schularick M amp Shim I (2019) The costs of macroprudential policy Journal of Inter-

national Economics 118 263 ndash 282 URL httpwwwsciencedirectcomsciencearticlepii

S0022199618302617 doihttpsdoiorg101016jjinteco201811011

Schmalensee R (1989) Chapter 16 inter-industry studies of structure and performance In Hand-

book of Industrial Organization (pp 951ndash1009) Elsevier BV URL httpdxdoiorg101016

s1573-448x(89)02004-2 doi101016s1573-448x(89)02004-2

Silva M S d () Avaliacao do processo de concentracao-competicao no setor bancario brasileiro URL

httpwwwbcbgovbrpecwpsporttd377pdf

Tabak B amp Gomes G (2015) The impact of market power at bank level in risk-taking The brazilian

case International Review of Financial Analysis 40 154ndash165

Tabak B M Fazio D M amp Cajueiro D O (2012) The relationship between banking market competition

and risk-taking Do size and capitalization matter 36 3366ndash3381 URL httpwwwsciencedirect

comsciencearticlepiiS0378426612002026 doi101016jjbankfin201207022

Wong T Fong T Li K-f amp Choi H (2011) Loan-to-value ratio as a macroprudential tool-hong kongrsquos

experience and cross-country evidence

Zhang L amp Zoli E (2016) Leaning against the wind Macroprudential policy in asia Journal of Asian

Economics 42 33ndash52

29

Figure 1 Evolution of the Herfindahl Index (HHI) over time using credit and total assets for theBrazilian banking system

30

Figure 2 Marginal effects of HHI and prudential instruments (Capital Buffer Capital RequirementLTV Reserve Requirement (Foreign) Reserve Requirement (domestic) and cumulative prud) on the

mark-up u component

31

Figure 3 Frequency distribution of Lerner indexes for each model and density estimation Kernel by typeof control

32

Figure 4 Lerner indexes according to the size (market share) of banksrsquo assets

33

Figure 5 Average Lerner indices for each model between 2000q2 and 2014q4

34

Figure 6 Average Lerner indices estimated for public private national and private foreign banks between2000q2 and 2014q4

35

Figure 7 Frequency distribution of the returns to scale indexes for each model and density estimationKernel by type of control

36

Table 1 Variables used to IDF estimatation

Variabel Description SourceBasic variables

TR Total Revenue = Gross Insterest Income (a) + Bank-ing Service Fee Income (d1) + Banking Fee Income(d2) + Other Operating Income (d7)

Inc statIFData

TC Total Cost = Interest Expenses (b) + Personnel Ex-penses (d3) + Administrative Expenses (d4) + TaxExpenses (d5) + Other Operating Expenses (d8)

Inc statIFData

Y Loan Lease and Other Credit Operations by RiskLevel

SummaryIFData

x1 Personnel Expenses (d3) Inc statIFDatax2 Funding (e) LiabilitiesIFDatax3 Equity (j) LiabilitiesIFData

Model variabelslnRC Log of Revenue-Cost ratiolnY Log of total loanlnx1 Log of personnel expenses and equity ratio (x1x3)lnx2 Log of funding and equity ratio (x2x3)T Time

Prudential variables - Deterministic mark-up parametersHHIt HHIt =

sumS2it where Sit

2 is market share of totalasset of bank i on time t

Inc statIFData

cb cumulative change of capital buffer Cerutti et al (2016)cr cumulative change of capital requirement Cerutti et al (2016)ltv cumulative change of loan-to-value Cerutti et al (2016)

rr foreign cumulative change of reserve requirement (foreigncurrency)

Cerutti et al (2016)

rr local cumulative change of reserve requirement (domesticcurrency)

Cerutti et al (2016)

37

Table 2 Results of IDF estimation

Parameters VariablesEstimates

Model Model Model Model Model Model(1) (2) (3) (4) (5) (6)

Parametros da funcao insumo distanciaαY Y lnY -0013 -0003 -0004 -0012 -0011 -0005

(000) (000) (000) (000) (000) (000)α1Y lnx1 -0096 -0095 -0094 -0094 -0096 -0090

(001) (001) (001) (001) (001) (001)α2Y lnx2 -0019 -0022 -0022 -0019 -0020 -0021

(001) (001) (001) (001) (001) (001)αY T T -0000 -0000 -0000 -0000 -0000 -0000

(000) (000) (000) (000) (000) (000)αY const 1153 1010 1035 1134 1129 1057

(005) (007) (005) (005) (005) (006)

Deterministic Mark-up parametersδ1 HHI 764157

(12270)δ1 Capital

Buffer7586(065)

δ2 CapitalReq

4696(160)

δ1 Loan-to-value38511(671)

δ1 ResR(foreign)10730(433)

δ2 ResR(local)2869(126)

δ1 Cum Prud3237(020)

δ0 const minus10601minus10194minus5306 minus9866 minus8577 minus4993(032) (2064) (316) (079) (119) (122)

Distribution of u and vσ2u 2840 1418 1620 2643 2441 1593σ2v 0118 0121 0120 0118 0118 0120λ 2402 1172 1354 2233 2065 1325Log Lik 887404 922033 918606 896019 891991 907817

EstimatesEstimates of Mark-up (u)Avg 0075 0065 0068 0074 0075 00691st quartile 0052 0038 0051 0051 0051 0044Median 0062 0048 0060 0060 0061 00543st quartile 0080 0074 0079 0079 0079 0075std-dev 0053 0054 0053 0053 0054 0054

Note p lt 010 p lt 005 and p lt 001

38

Table 3 Estimates of Lerner index general and by type of control

EstimatesModel Model Model Model Model Model

(1) (2) (3) (4) (5) (6)Mark-up (L) generalAverage 0058 0051 0053 0057 0058 0053std-dev 0032 0034 0034 0032 0032 00331st quartile 0043 0031 0034 0041 0042 0036Median 0051 0039 0044 0050 0050 00453st quartile 0063 0060 0059 0063 0063 0060Mark-up (L) State-owned banksAverage 0057 0047 0049 0056 0056 0050std-dev 0018 0017 0017 0018 0016 00161st quartile 0047 0035 0038 0045 0046 0040Median 0054 0041 0046 0053 0053 00463st quartile 0064 0056 0056 0064 0063 0057Mark-up (L) National banksAverage 0057 0052 0054 0057 0057 0054std-dev 0034 0038 0038 0035 0035 00371st quartile 0041 0030 0033 0040 0041 0035Median 0050 0038 0043 0048 0049 00443st quartile 0061 0061 0060 0061 0062 0060Mark-up (L) Foreign banksAverage 0061 0050 0053 0059 0060 0054std-dev 0034 0033 0032 0034 0034 00321st quartile 0042 0031 0034 0041 0042 0036Median 0052 0040 0044 0051 0051 00453st quartile 0068 0059 0060 0066 0066 0061

Table 4 Estimates of returns to scale by control type and general

ModelState-owned

banksNational

banksForeignbanks

General std-dev Min Max

1 0944 0824 0842 0848 0073 0665 11242 0940 0829 0843 0851 0066 0690 10733 0938 0827 0842 0849 0066 0689 10764 0941 0824 0842 0848 0071 0671 11115 0942 0824 0841 0848 0072 0669 11136 0937 0829 0844 0850 0065 0692 1073

39

Appendix A Attachment Tables

Table A5 Cumulative change on Prudential Measures intensity

TimeCapitalBuffer 2

(cb)

CapitalReq(cr)

Loan-to-Value(ltv)

Reserve Reqlocal curr

(RR local)

Reserve Reqforeign cur

(RR foreign)

CumulativePrudential 3

(Cum Prud)2000q2 -1 0 0 0 -2 -32000q4 -1 0 0 0 -2 -32001q2 -1 0 0 0 -2 -32001q4 0 0 0 0 -1 -12002q2 0 0 0 0 0 02002q4 2 0 0 0 2 42003q2 0 0 0 0 3 32003q4 0 0 0 0 2 22004q2 0 0 0 0 2 22004q4 0 0 0 0 2 22005q2 0 0 0 0 2 22005q4 0 0 0 0 2 22006q2 0 0 0 0 2 22006q4 0 0 0 0 2 22007q2 2 0 0 0 2 42007q4 2 0 0 0 2 42008q2 2 0 0 0 2 42008q4 2 0 0 0 1 32009q2 2 0 0 0 0 22009q4 2 0 0 0 -1 12010q2 2 0 0 0 1 32010q4 3 0 0 0 3 62011q2 3 0 0 1 3 72011q4 4 0 0 2 3 92012q2 3 1 0 2 3 92012q4 3 1 0 1 2 72013q2 3 2 0 0 2 72013q4 3 2 1 0 2 82014q2 3 2 1 0 2 82014q4 2 2 1 0 3 82Sum of capital buffer and others 3Aggregate measure (It is the sum of the change of all other instrument)

40

Table A6 Estimates of Lerner index and return to scale by bank - Model (1)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0042 0082 0009 0940 0007 -85Banrisul S 0055 0041 0084 0009 0952 0008 -635BEC S 0048 0021 0077 0016 0844 0009 -1756BRB S 0058 0033 0100 0015 0961 0003 -1533BB S 0058 0039 0098 0012 0990 0006 -173Caixa Economica Federal S 0063 0051 0174 0022 1052 0004 1458B da Amazonia SA S 0057 0016 0124 0023 0844 0008 -2028B do Estado Do Para SA S 0061 0026 0110 0022 0936 0004 -1764B do Est do Maranhao SA S 0055 0046 0065 0006 0935 0014 -455B do Est do Piauı SA - Bep S 0057 0030 0155 0029 0862 0004 -326B do Estado De Sergipe SA S 0061 0024 0135 0022 0947 0004 -1453Nossa Caixa - N Banco SA S 0057 0036 0090 0013 0981 0004 -444Bradesco N 0056 0038 0114 0015 0925 0004 -1945Itau N 0059 0031 0220 0033 0901 0003 -3797Safra N 0053 0037 0085 0009 0885 0003 -4215Unibanco N 0055 0037 0088 0014 0897 0001 -7054Mercantil Do Brasil N 0057 0027 0077 0011 0945 0002 -2527BBM N 0076 0016 0300 0065 0783 0005 -4464BMC N 0052 0030 0079 0012 0845 0003 -4703BMG N 0065 0017 0208 0045 0779 0003 -729JMalucelli N 0047 0022 0069 0013 0718 0003 -8765PEBB N 0065 0017 0181 0047 0698 0008 -3914SS N 0057 0034 0220 0037 0799 0007 -2839Sofisa N 0054 0021 0092 0020 0804 0002 -9903BIC N 0060 0034 0236 0040 0855 0005 -276Schahin N 0056 0028 0214 0035 0835 0006 -262Stock N 0081 0020 0267 0067 0817 0006 -3107Pine N 0052 0022 0108 0019 0808 0004 -545Socopa N 0056 0027 0120 0017 0886 0003 -3806Intercap N 0060 0023 0212 0037 0812 0007 -2851Indusval N 0062 0030 0246 0043 0857 0005 -3139Bonsucesso N 0052 0020 0092 0018 0779 0005 -4033Industrial do Brasil N 0051 0031 0081 0016 0807 0002 -952Votorantim N 0052 0037 0107 0017 0819 0009 -2117Cacique N 0053 0024 0071 0014 0774 0005 -4621Inter Amex N 0055 0037 0068 0010 0837 0008 -2158Alfa N 0048 0041 0059 0005 0806 0002 -11303Rendimento N 0053 0022 0080 0012 0872 0008 -1562Bancoob N 0052 0046 0056 0003 0856 0003 -5061Original N 0085 0017 0279 0090 0729 0007 -4163Banco Intermedium SA N 0052 0028 0070 0015 0743 0006 -3973

Table A6 ndash Continue on next page

41

Table A6 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0225 0049 0761 0003 -7509Banco BBN SA N 0053 0027 0077 0014 0817 0012 -1509B Cooperativo Sicredi SA N 0052 0043 0062 0005 0875 0005 -2477B Cooperativo do Brasil SA N 0056 0046 0142 0020 0910 0006 -1479Banco Topazio SA N 0060 0035 0110 0027 0834 0006 -2966Banco Gerador SA N 0069 0045 0122 0028 0852 0008 -1968Banco Randon SA N 0109 0023 0320 0109 0783 0005 -4158Parana Banco SA N 0050 0026 0108 0020 0784 0008 -2799Banco Triangulo SA N 0055 0028 0091 0020 0833 0004 -4201Banco Guanabara SA N 0052 0024 0169 0025 0777 0004 -5588Banco Cedula SA N 0068 0012 0339 0061 0731 0003 -10236Banco Cacique SA N 0077 0028 0248 0077 0785 0016 -1309B Luso Brasileiro SA N 0065 0027 0208 0043 0849 0004 -349Banco Pecunia SA N 0047 0039 0060 0006 0770 0003 -7086Banco Zogbi SA N 0051 0038 0067 0011 0778 0001 -15193Banco Daycoval SA N 0054 0023 0131 0026 0783 0004 -5522B John Deere SA N 0059 0018 0133 0033 0756 0003 -7955Banco AJ Renner SA N 0053 0025 0081 0015 0827 0006 -2742ABN Amro F 0056 0039 0079 0014 0914 0002 -427Chase F 0068 0014 0228 0049 0790 0008 -2678LLoyds F 0053 0027 0064 0012 0825 0003 -5159BankBoston F 0057 0040 0099 0020 0902 0006 -1638Santander Brasil F 0057 0034 0097 0017 0890 0008 -146Citibank F 0059 0026 0153 0028 0875 0003 -4039BNL F 0055 0041 0097 0019 0840 0006 -2767Sudameris F 0056 0048 0065 0005 0966 0012 -297Societe Generale F 0060 0024 0153 0031 0826 0006 -299Europeu F 0054 0032 0073 0013 0848 0007 -2287ABC-Brasil F 0052 0025 0082 0014 0815 0003 -6207Dresdner F 0083 0017 0280 0074 0815 0006 -3234AGF Braseg F 0051 0031 0100 0016 0794 0004 -4923HSBC F 0057 0046 0092 0010 0971 0006 -466Deutsche F 0068 0013 0160 0036 0857 0004 -3335BNP Paribas F 0050 0037 0068 0007 0824 0005 -3665Barclays F 0052 0024 0089 0021 0771 0008 -2787Rabobank Int Brasil SA F 0058 0022 0166 0028 0842 0003 -5284B Nat de Paris Br SA F 0063 0023 0109 0033 0811 0006 -3331Ibibank SA - Banco Multiplo F 0059 0012 0106 0024 0781 0015 -1441Dresdner Bank - B Multiplo F 0086 0016 0244 0068 0768 0008 -2746Banco Westlb Do Brasil SA F 0064 0034 0108 0027 0839 0010 -1626Banco GE Capital SA F 0067 0032 0247 0047 0852 0010 -1527B Com Uruguai SA F 0072 0020 0192 0049 0830 0003 -52281S - State-owned bank N - National bank and F - Foreign bank

42

Table A7 Estimates of Lerner index and return to scale by bank - Model (2)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0049 0032 0085 0016 0944 0008 -716Banrisul S 0049 0032 0106 0017 0939 0008 -75BEC S 0032 0016 0046 0008 0860 0009 -1489BRB S 0049 0030 0112 0017 0961 0002 -1681BB S 0049 0032 0091 0016 0948 0006 -845Caixa Economica Federal S 0052 0034 0081 0014 1012 0003 382B da Amazonia SA S 0053 0015 0140 0028 0847 0008 -1922B do Estado Do Para SA S 0046 0029 0063 0009 0952 0005 -963B do Est do Maranhao SA S 0036 0029 0045 0005 0963 0016 -235B do Est do Piauı SA - Bep S 0036 0023 0071 0011 0888 0005 -2314B do Estado De Sergipe SA S 0050 0020 0155 0024 0962 0004 -1043Nossa Caixa - N Banco SA S 0039 0027 0074 0011 0972 0005 -601Bradesco N 0050 0028 0116 0023 0890 0004 -2618Itau N 0052 0024 0222 0037 0869 0003 -4269Safra N 0046 0028 0100 0017 0867 0003 -5042Unibanco N 0035 0028 0054 0007 0873 0001 -8511Mercantil Do Brasil N 0051 0029 0093 0019 0941 0002 -2837BBM N 0063 0012 0213 0048 0790 0005 -4494BMC N 0034 0023 0049 0007 0851 0003 -4266BMG N 0065 0015 0233 0057 0776 0004 -6135JMalucelli N 0052 0018 0080 0016 0720 0003 -9566PEBB N 0037 0014 0108 0025 0732 0009 -3086SS N 0056 0024 0236 0046 0797 0007 -2849Sofisa N 0052 0018 0107 0028 0808 0002 -8115BIC N 0057 0026 0259 0050 0850 0006 -2531Schahin N 0047 0022 0225 0041 0845 0007 -2359Stock N 0078 0017 0287 0071 0843 0006 -2782Pine N 0048 0018 0114 0023 0811 0004 -4973Socopa N 0050 0022 0136 0024 0908 0003 -3089Intercap N 0051 0019 0133 0031 0832 0006 -2759Indusval N 0061 0023 0267 0052 0866 0006 -2437Bonsucesso N 0050 0017 0109 0026 0791 0006 -3655Industrial do Brasil N 0044 0024 0079 0015 0816 0002 -8095Votorantim N 0048 0025 0120 0026 0807 0007 -2721Cacique N 0033 0020 0039 0006 0782 0005 -4597Inter Amex N 0035 0025 0045 0007 0844 0006 -2419Alfa N 0042 0029 0069 0013 0801 0002 -12139Rendimento N 0049 0019 0077 0015 0889 0008 -1394Bancoob N 0065 0057 0073 0006 0855 0003 -4199Original N 0099 0019 0299 0096 0732 0006 -4473Banco Intermedium SA N 0062 0032 0081 0019 0754 0006 -4393

Table A7 ndash Continue on next page

43

Table A7 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0059 0016 0239 0051 0778 0003 -6944Banco BBN SA N 0035 0020 0053 0009 0834 0011 -1466B Cooperativo Sicredi SA N 0045 0032 0070 0011 0881 0005 -2581B Cooperativo do Brasil SA N 0045 0029 0147 0025 0922 0006 -1274Banco Topazio SA N 0076 0043 0138 0038 0861 0005 -2569Banco Gerador SA N 0089 0054 0153 0037 0874 0008 -1645Banco Randon SA N 0122 0029 0335 0113 0803 0005 -388Parana Banco SA N 0033 0020 0062 0011 0800 0009 -234Banco Triangulo SA N 0052 0022 0105 0027 0841 0004 -4148Banco Guanabara SA N 0046 0019 0091 0020 0793 0004 -5561Banco Cedula SA N 0062 0011 0359 0067 0749 0003 -9911Banco Cacique SA N 0049 0020 0157 0048 0791 0016 -1315Banco Luso Brasileiro SA N 0066 0022 0241 0055 0870 0005 -2851Banco Pecunia SA N 0032 0027 0036 0003 0787 0003 -6876Banco Zogbi SA N 0032 0026 0037 0005 0784 0002 -13006Banco Daycoval SA N 0053 0019 0139 0036 0784 0004 -6065Banco John Deere SA N 0035 0016 0073 0016 0761 0003 -8278Banco AJ Renner SA N 0047 0021 0083 0015 0844 0006 -2553ABN Amro F 0035 0027 0047 0006 0889 0002 -7231Chase F 0054 0013 0157 0033 0804 0007 -2702LLoyds F 0033 0020 0043 0008 0821 0003 -5429BankBoston F 0036 0026 0060 0011 0888 0006 -1917Santander Brasil F 0055 0025 0115 0030 0864 0008 -1647Citibank F 0051 0020 0132 0025 0860 0003 -4735BNL F 0036 0026 0062 0012 0843 0005 -2959Sudameris F 0036 0031 0040 0004 0949 0011 -468Societe Generale F 0051 0018 0104 0024 0835 0007 -2454Europeu F 0034 0025 0041 0006 0859 0007 -2076ABC-Brasil F 0043 0026 0086 0015 0813 0003 -5797Dresdner F 0050 0014 0190 0046 0824 0004 -3975AGF Braseg F 0044 0024 0068 0014 0810 0005 -4109HSBC F 0052 0031 0110 0021 0948 0007 -776Deutsche F 0054 0012 0166 0030 0866 0005 -2754BNP Paribas F 0049 0028 0073 0013 0818 0004 -4092Barclays F 0065 0028 0121 0027 0811 0005 -4028Rabobank Int Brasil SA F 0047 0017 0102 0017 0845 0003 -4605B Nat de Paris Brasil SA F 0036 0017 0054 0013 0819 0005 -3304Ibibank SA - Banco Multiplo F 0043 0010 0114 0025 0782 0013 -1623Dresdner Bank - B Multiplo F 0096 0015 0270 0076 0785 0007 -2924Banco Westlb Do Brasil SA F 0041 0026 0062 0013 0853 0010 -154Banco GE Capital SA F 0054 0026 0253 0049 0862 0010 -1444B Com Uruguai SA F 0070 0017 0220 0058 0849 0003 -4471S - State-owned bank N - National bank and F - Foreign bank

44

Table A8 Estimates of Lerner index and return to scale by bank - Model (3)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0034 0090 0016 0941 0008 -772Banrisul S 0051 0032 0108 0016 0938 0008 -772BEC S 0035 0018 0051 0009 0856 0009 -1562BRB S 0052 0032 0122 0018 0958 0002 -1793BB S 0052 0035 0085 0015 0951 0006 -809Caixa Economica Federal S 0054 0039 0098 0014 1015 0003 465B da Amazonia SA S 0053 0014 0113 0024 0845 0008 -1977B do Estado Do Para SA S 0049 0028 0071 0010 0947 0005 -1117B do E do Maranhao SA S 0041 0032 0059 0008 0957 0015 -285B do E do Piauı SA - Bep S 0041 0028 0086 0014 0882 0005 -2518B do Estado De Sergipe SA S 0052 0021 0145 0022 0957 0004 -1182Nossa Caixa - N Banco SA S 0045 0029 0081 0015 0971 0005 -651Bradesco N 0052 0029 0101 0021 0893 0004 -2614Itau N 0054 0025 0203 0034 0872 0003 -4328Safra N 0048 0029 0093 0015 0869 0003 -5008Unibanco N 0041 0028 0067 0010 0874 0001 -8514Mercantil Do Brasil N 0053 0026 0095 0018 0939 0002 -29BBM N 0067 0013 0250 0056 0789 0005 -4501BMC N 0038 0024 0069 0010 0849 0003 -4408BMG N 0067 0015 0233 0058 0776 0004 -6374JMalucelli N 0052 0022 0087 0016 0720 0003 -9426PEBB N 0045 0014 0158 0040 0727 0009 -3192SS N 0057 0025 0231 0046 0797 0007 -287Sofisa N 0053 0018 0116 0026 0807 0002 -8444BIC N 0059 0030 0250 0049 0850 0006 -2596Schahin N 0048 0023 0220 0038 0842 0007 -2424Stock N 0083 0017 0304 0077 0838 0006 -2873Pine N 0049 0019 0105 0020 0810 0004 -5103Socopa N 0050 0026 0111 0018 0903 0003 -3253Intercap N 0055 0020 0196 0036 0828 0006 -283Indusval N 0062 0029 0282 0052 0863 0005 -2588Bonsucesso N 0051 0017 0118 0025 0789 0006 -3771Industrial do Brasil N 0046 0025 0086 0015 0815 0002 -8341Votorantim N 0050 0027 0128 0027 0809 0007 -2664Cacique N 0037 0020 0048 0009 0781 0005 -4645Inter Amex N 0039 0026 0058 0009 0842 0006 -2468Alfa N 0044 0031 0072 0011 0801 0002 -11998Rendimento N 0049 0022 0078 0011 0885 0008 -1463Bancoob N 0066 0057 0077 0007 0854 0003 -4342Original N 0102 0019 0301 0096 0730 0006 -4526Banco Intermedium SA N 0059 0027 0083 0020 0752 0006 -4354

Table A8 ndash Continue on next page

45

Table A8 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0017 0217 0054 0776 0003 -7084Banco BBN SA N 0038 0022 0058 0010 0831 0011 -1492B Cooperativo Sicredi SA N 0047 0035 0071 0010 0879 0005 -259B Cooperativo do Brasil SA N 0046 0035 0128 0020 0919 0006 -1339Banco Topazio SA N 0075 0036 0153 0041 0855 0005 -2657Banco Gerador SA N 0091 0057 0144 0034 0869 0008 -173Banco Randon SA N 0124 0029 0332 0112 0799 0005 -4023Parana Banco SA N 0036 0021 0071 0012 0797 0008 -2452Banco Triangulo SA N 0053 0023 0115 0027 0839 0004 -4256Banco Guanabara SA N 0047 0020 0100 0019 0790 0004 -561Banco Cedula SA N 0066 0012 0362 0068 0747 0003 -10082Banco Cacique SA N 0063 0026 0231 0074 0789 0016 -1336Banco Luso Brasileiro SA N 0066 0026 0249 0053 0865 0005 -2985Banco Pecunia SA N 0034 0029 0041 0004 0784 0003 -7038Banco Zogbi SA N 0036 0027 0046 0006 0782 0002 -13399Banco Daycoval SA N 0054 0019 0131 0034 0784 0004 -607Banco John Deere SA N 0039 0015 0083 0018 0761 0003 -8316Banco AJ Renner SA N 0049 0024 0073 0013 0840 0006 -2621ABN Amro F 0041 0030 0066 0009 0890 0002 -6866Chase F 0059 0013 0173 0039 0801 0007 -2733LLoyds F 0038 0021 0055 0010 0821 0003 -5484BankBoston F 0040 0028 0063 0012 0888 0006 -1931Santander Brasil F 0056 0028 0107 0027 0866 0008 -1663Citibank F 0052 0022 0123 0023 0860 0003 -4735BNL F 0039 0028 0063 0014 0841 0005 -2966Sudameris F 0041 0036 0052 0006 0948 0011 -473Societe Generale F 0052 0020 0103 0022 0833 0006 -2579Europeu F 0038 0030 0049 0007 0856 0007 -2153ABC-Brasil F 0046 0029 0079 0014 0813 0003 -5935Dresdner F 0055 0014 0212 0052 0822 0005 -3913AGF Braseg F 0046 0027 0071 0014 0806 0005 -4276HSBC F 0053 0032 0101 0019 0949 0007 -784Deutsche F 0058 0013 0141 0029 0863 0005 -2878BNP Paribas F 0051 0030 0074 0012 0818 0004 -4118Barclays F 0066 0025 0130 0030 0805 0005 -4123Rabobank Int Brasil SA F 0049 0019 0109 0018 0844 0003 -4752B Nat de Paris Brasil SA F 0041 0019 0069 0018 0817 0005 -3368Ibibank SA - Banco Multiplo F 0046 0010 0095 0021 0781 0014 -1617Dresdner Bank - B Multiplo F 0093 0017 0282 0072 0782 0008 -2899Banco Westlb Do Brasil SA F 0044 0027 0069 0015 0850 0009 -1591Banco GE Capital SA F 0055 0026 0249 0046 0859 0009 -1489B Com Uruguai SA F 0071 0017 0228 0056 0845 0003 -46241S - State-owned bank N - National bank and F - Foreign bank

46

Table A9 Estimates of Lerner index and return to scale by bank - Model (4)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0054 0041 0078 0011 0939 0007 -873Banrisul S 0055 0040 0106 0014 0948 0008 -692BEC S 0046 0020 0072 0014 0846 0009 -1746BRB S 0057 0032 0094 0016 0959 0002 -1673BB S 0057 0038 0095 0014 0981 0006 -33Caixa Economica Federal S 0061 0049 0165 0021 1042 0003 1249B da Amazonia SA S 0056 0015 0117 0022 0844 0008 -2047B do Estado Do Para SA S 0059 0025 0103 0020 0936 0004 -1701B do E Do Maranhao SA S 0052 0044 0062 0005 0936 0014 -448B do E Do Piauı SA - Bep S 0054 0029 0147 0028 0865 0004 -3201B do Estado De Sergipe SA S 0061 0023 0168 0026 0947 0004 -1484Nossa Caixa - N Banco SA S 0054 0035 0085 0012 0977 0004 -547Bradesco N 0056 0036 0107 0017 0919 0004 -2123Itau N 0058 0030 0212 0032 0896 0003 -3979Safra N 0052 0035 0107 0013 0882 0003 -445Unibanco N 0052 0035 0082 0013 0892 0001 -7446Mercantil Do Brasil N 0057 0027 0093 0015 0942 0002 -2687BBM N 0075 0015 0294 0064 0784 0005 -4512BMC N 0050 0029 0074 0011 0846 0003 -472BMG N 0065 0016 0202 0047 0779 0003 -7192JMalucelli N 0048 0022 0071 0014 0720 0003 -8923PEBB N 0061 0016 0172 0044 0704 0008 -382SS N 0056 0033 0213 0037 0799 0007 -2875Sofisa N 0053 0020 0087 0019 0805 0002 -9731BIC N 0061 0033 0269 0048 0854 0005 -2768Schahin N 0053 0027 0205 0034 0836 0006 -2627Stock N 0081 0020 0265 0068 0820 0006 -3122Pine N 0052 0022 0118 0021 0808 0004 -5467Socopa N 0054 0026 0114 0016 0888 0003 -3785Intercap N 0057 0023 0203 0035 0815 0006 -2877Indusval N 0062 0029 0239 0043 0857 0005 -3085Bonsucesso N 0052 0019 0088 0018 0782 0005 -403Industrial do Brasil N 0050 0030 0076 0015 0809 0002 -9427Votorantim N 0051 0036 0102 0017 0817 0008 -2222Cacique N 0050 0023 0067 0013 0776 0005 -4659Inter Amex N 0052 0035 0064 0009 0837 0007 -2226Alfa N 0048 0039 0071 0007 0805 0002 -11484Rendimento N 0052 0022 0076 0013 0874 0008 -1571Bancoob N 0057 0045 0071 0011 0855 0003 -5022Original N 0094 0017 0278 0090 0730 0006 -4242Banco Intermedium SA N 0049 0027 0065 0014 0746 0006 -4054

Table A9 ndash Continue on next page

47

Table A9 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0019 0220 0050 0764 0003 -7516Banco BBN SA N 0050 0027 0072 0013 0819 0012 -1529B Cooperativo Sicredi SA N 0051 0041 0068 0006 0875 0005 -2551B Cooperativo do Brasil SA N 0053 0044 0134 0018 0910 0006 -151Banco Topazio SA N 0066 0035 0128 0036 0837 0005 -2981Banco Gerador SA N 0082 0045 0157 0043 0854 0007 -1967Banco Randon SA N 0106 0026 0312 0105 0786 0005 -4204Parana Banco SA N 0048 0025 0102 0018 0787 0008 -2768Banco Triangulo SA N 0054 0027 0088 0021 0834 0004 -427Banco Guanabara SA N 0051 0023 0161 0025 0780 0004 -5659Banco Cedula SA N 0069 0012 0360 0065 0735 0003 -1028Banco Cacique SA N 0073 0027 0240 0075 0786 0016 -1327Banco Luso Brasileiro SA N 0065 0026 0242 0047 0852 0004 -346Banco Pecunia SA N 0045 0037 0056 0006 0773 0003 -7139Banco Zogbi SA N 0048 0036 0064 0010 0779 0001 -15057Banco Daycoval SA N 0055 0022 0126 0030 0784 0004 -568Banco John Deere SA N 0056 0018 0125 0031 0757 0003 -8084Banco AJ Renner SA N 0051 0025 0077 0013 0829 0006 -2763ABN Amro F 0053 0038 0074 0013 0909 0002 -4803Chase F 0066 0014 0220 0046 0793 0008 -2711LLoyds F 0050 0026 0060 0011 0825 0003 -5323BankBoston F 0054 0038 0092 0018 0899 0006 -1734Santander Brasil F 0056 0033 0098 0019 0885 0007 -1529Citibank F 0059 0025 0145 0030 0872 0003 -421BNL F 0052 0039 0091 0018 0840 0006 -2854Sudameris F 0053 0046 0062 0005 0961 0011 -352Societe Generale F 0058 0023 0144 0028 0827 0006 -2968Europeu F 0052 0031 0069 0012 0849 0007 -23ABC-Brasil F 0051 0028 0091 0015 0815 0003 -6225Dresdner F 0078 0017 0271 0071 0816 0005 -339AGF Braseg F 0050 0030 0094 0015 0797 0004 -4873HSBC F 0057 0045 0116 0016 0966 0006 -562Deutsche F 0066 0013 0151 0034 0858 0004 -3316BNP Paribas F 0050 0036 0071 0010 0823 0005 -3772Barclays F 0057 0024 0102 0025 0777 0007 -3003Rabobank Int Brasil SA F 0057 0021 0157 0026 0842 0003 -5266B Nat de Paris Brasil SA F 0059 0023 0102 0030 0812 0006 -3387Ibibank SA - Banco Multiplo F 0056 0012 0100 0023 0781 0015 -148Dresdner Bank - B Multiplo F 0084 0016 0237 0064 0771 0008 -2798Banco Westlb Do Brasil SA F 0061 0033 0101 0025 0841 0010 -1646Banco GE Capital SA F 0063 0031 0238 0044 0853 0010 -1548B Com Uruguai SA F 0074 0020 0226 0056 0833 0003 -51921S - State-owned bank N - National bank and F - Foreign bank

48

Table A10 Estimates of Lerner index and return to scale by bank - Model (5)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0043 0093 0012 0940 0007 -834Banrisul S 0054 0041 0083 0009 0949 0008 -668BEC S 0046 0020 0075 0014 0846 0009 -1719BRB S 0058 0032 0121 0017 0960 0002 -1607BB S 0056 0037 0087 0010 0981 0006 -321Caixa Economica Federal S 0061 0050 0156 0019 1044 0003 1282B da Amazonia SA S 0057 0016 0115 0023 0843 0008 -2023B do Estado Do Para SA S 0059 0027 0102 0020 0938 0004 -1608B do E Do Maranhao SA S 0052 0042 0064 0006 0939 0015 -418B do E Do Piauı SA - Bep S 0054 0029 0138 0025 0866 0004 -3097B do Estado De Sergipe SA S 0059 0024 0136 0020 0949 0004 -1404Nossa Caixa - N Banco SA S 0055 0036 0088 0013 0979 0004 -494Bradesco N 0056 0037 0108 0016 0918 0004 -2108Itau N 0058 0031 0213 0033 0894 0003 -3968Safra N 0052 0036 0086 0010 0881 0003 -4388Unibanco N 0053 0037 0085 0013 0892 0001 -7433Mercantil Do Brasil N 0057 0027 0086 0012 0943 0002 -2619BBM N 0075 0015 0292 0063 0784 0005 -447BMC N 0050 0029 0077 0012 0846 0003 -4648BMG N 0067 0017 0220 0051 0777 0003 -7116JMalucelli N 0049 0022 0083 0016 0718 0003 -8879PEBB N 0060 0017 0176 0044 0704 0008 -3743SS N 0059 0032 0223 0041 0798 0007 -2847Sofisa N 0055 0021 0112 0022 0804 0002 -9624BIC N 0060 0032 0238 0041 0853 0005 -2725Schahin N 0055 0028 0228 0038 0836 0006 -2575Stock N 0082 0019 0267 0068 0821 0006 -3063Pine N 0052 0022 0096 0018 0808 0004 -5392Socopa N 0055 0027 0113 0016 0889 0003 -3694Intercap N 0060 0023 0210 0037 0814 0006 -2856Indusval N 0062 0029 0245 0044 0857 0005 -3023Bonsucesso N 0053 0020 0113 0022 0781 0005 -3999Industrial do Brasil N 0051 0030 0084 0016 0808 0002 -9274Votorantim N 0052 0037 0130 0022 0816 0008 -2227Cacique N 0049 0024 0065 0012 0775 0005 -4632Inter Amex N 0052 0034 0067 0011 0837 0007 -2236Alfa N 0047 0041 0056 0004 0804 0002 -11448Rendimento N 0053 0022 0079 0011 0874 0008 -1549Bancoob N 0056 0050 0064 0005 0856 0003 -4874Original N 0087 0018 0288 0093 0728 0006 -4259Banco Intermedium SA N 0055 0027 0078 0019 0744 0006 -4047

Table A10 ndash Continue on next page

49

Table A10 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0217 0048 0763 0003 -7417Banco BBN SA N 0051 0026 0075 0014 0820 0012 -1504B Cooperativo Sicredi SA N 0051 0040 0061 0005 0876 0005 -2499B Cooperativo do Brasil SA N 0054 0043 0136 0019 0912 0006 -1445Banco Topazio SA N 0061 0034 0109 0026 0838 0006 -2897Banco Gerador SA N 0073 0052 0124 0026 0855 0008 -1918Banco Randon SA N 0120 0024 0327 0114 0785 0005 -4153Parana Banco SA N 0048 0026 0106 0020 0786 0008 -2732Banco Triangulo SA N 0055 0027 0111 0022 0834 0004 -4227Banco Guanabara SA N 0052 0024 0153 0024 0779 0004 -5589Banco Cedula SA N 0069 0012 0339 0062 0734 0003 -10232Banco Cacique SA N 0076 0027 0246 0076 0785 0016 -1317Banco Luso Brasileiro SA N 0067 0027 0207 0047 0852 0004 -3379Banco Pecunia SA N 0046 0038 0054 0006 0773 0003 -71Banco Zogbi SA N 0047 0037 0061 0010 0778 0001 -14931Banco Daycoval SA N 0054 0022 0126 0026 0782 0004 -5661Banco John Deere SA N 0056 0018 0129 0031 0756 0003 -8043Banco AJ Renner SA N 0053 0025 0080 0015 0829 0006 -2716ABN Amro F 0053 0038 0074 0012 0908 0002 -4751Chase F 0067 0014 0225 0047 0792 0008 -2693LLoyds F 0049 0025 0064 0012 0824 0003 -5227BankBoston F 0054 0037 0096 0020 0899 0006 -1701Santander Brasil F 0057 0033 0103 0019 0884 0008 -1511Citibank F 0059 0026 0154 0028 0871 0003 -4204BNL F 0052 0037 0097 0020 0840 0006 -28Sudameris F 0052 0045 0058 0005 0962 0011 -334Societe Generale F 0060 0023 0151 0031 0827 0006 -2924Europeu F 0050 0032 0066 0012 0849 0007 -2263ABC-Brasil F 0051 0025 0079 0014 0814 0003 -617Dresdner F 0080 0017 0276 0073 0816 0005 -3374AGF Braseg F 0050 0031 0093 0015 0796 0004 -4812HSBC F 0057 0043 0093 0011 0966 0006 -541Deutsche F 0066 0013 0155 0035 0858 0004 -3244BNP Paribas F 0050 0035 0067 0008 0822 0005 -3775Barclays F 0056 0024 0113 0025 0778 0007 -305Rabobank Int Brasil SA F 0057 0021 0163 0027 0842 0003 -5208B Nat de Paris Brasil SA F 0058 0022 0100 0029 0812 0006 -3343Ibibank SA - Banco Multiplo F 0057 0012 0099 0023 0780 0015 -1478Dresdner Bank - B Multiplo F 0087 0016 0244 0068 0770 0008 -2768Banco Westlb Do Brasil SA F 0063 0034 0106 0026 0841 0010 -1625Banco GE Capital SA F 0064 0032 0247 0046 0853 0010 -1522B Com Uruguai SA F 0073 0019 0191 0049 0833 0003 -50981S - State-owned bank N - National bank and F - Foreign bank

50

Table A11 Estimates of Lerner index and return to scale by bank - Model (6)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0036 0096 0015 0939 0007 -855Banrisul S 0050 0035 0098 0014 0938 0008 -82BEC S 0041 0019 0067 0012 0855 0009 -1644BRB S 0053 0029 0124 0018 0956 0002 -1996BB S 0051 0032 0088 0013 0954 0006 -807Caixa Economica Federal S 0054 0040 0094 0012 1014 0003 475B da Amazonia SA S 0053 0015 0103 0022 0846 0008 -205B do Estado Do Para SA S 0051 0028 0074 0013 0943 0004 -1319B do E Do Maranhao SA S 0041 0031 0059 0008 0950 0014 -346B do E Do Piauı SA - Bep S 0042 0028 0084 0012 0879 0004 -2727B do Estado De Sergipe SA S 0052 0022 0153 0022 0953 0003 -1377Nossa Caixa - N Banco SA S 0047 0032 0081 0014 0969 0004 -74Bradesco N 0052 0032 0097 0019 0898 0004 -2645Itau N 0054 0027 0190 0031 0877 0003 -4452Safra N 0049 0032 0100 0015 0872 0003 -5056Unibanco N 0043 0032 0067 0010 0878 0001 -8666Mercantil Do Brasil N 0053 0026 0087 0017 0938 0002 -3104BBM N 0066 0013 0251 0056 0792 0005 -4556BMC N 0041 0026 0069 0011 0850 0003 -4582BMG N 0067 0016 0228 0057 0781 0003 -6611JMalucelli N 0051 0022 0089 0017 0725 0003 -9344PEBB N 0046 0015 0157 0039 0728 0008 -3313SS N 0058 0025 0230 0046 0801 0007 -292Sofisa N 0053 0020 0119 0025 0809 0002 -8846BIC N 0060 0029 0262 0049 0852 0005 -2697Schahin N 0049 0025 0229 0040 0843 0006 -2523Stock N 0081 0017 0284 0072 0836 0005 -2986Pine N 0049 0021 0112 0019 0812 0004 -5267Socopa N 0050 0026 0095 0015 0900 0003 -3515Intercap N 0055 0021 0196 0035 0828 0006 -2899Indusval N 0061 0029 0262 0049 0863 0005 -2762Bonsucesso N 0052 0019 0123 0026 0791 0005 -3885Industrial do Brasil N 0046 0027 0088 0015 0816 0002 -8698Votorantim N 0051 0027 0139 0027 0813 0007 -262Cacique N 0039 0022 0050 0009 0784 0005 -4707Inter Amex N 0045 0027 0064 0012 0843 0006 -2493Alfa N 0044 0033 0068 0009 0805 0002 -12111Rendimento N 0050 0022 0073 0010 0883 0008 -1543Bancoob N 0066 0055 0072 0007 0856 0003 -4559Original N 0098 0020 0294 0094 0735 0006 -4509Banco Intermedium SA N 0057 0024 0085 0022 0756 0006 -4324

Table A11 ndash Continue on next page

51

Table A11 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0061 0017 0195 0048 0777 0003 -7233Banco BBN SA N 0042 0023 0059 0012 0831 0011 -1529B Cooperativo Sicredi SA N 0048 0035 0066 0009 0879 0005 -2672B Cooperativo do Brasil SA N 0046 0034 0119 0017 0917 0006 -1439Banco Topazio SA N 0070 0031 0129 0036 0853 0005 -2776Banco Gerador SA N 0086 0057 0148 0034 0867 0007 -1825Banco Randon SA N 0126 0028 0331 0114 0799 0005 -4136Parana Banco SA N 0039 0023 0082 0015 0798 0008 -2556Banco Triangulo SA N 0052 0025 0116 0025 0840 0004 -4363Banco Guanabara SA N 0048 0021 0100 0019 0792 0004 -5683Banco Cedula SA N 0067 0013 0356 0067 0749 0002 -10205Banco Cacique SA N 0067 0026 0232 0073 0792 0015 -1356Banco Luso Brasileiro SA N 0065 0025 0237 0052 0864 0004 -3163Banco Pecunia SA N 0037 0029 0045 0006 0786 0003 -7158Banco Zogbi SA N 0037 0027 0045 0007 0785 0002 -13921Banco Daycoval SA N 0053 0020 0120 0031 0787 0003 -6088Banco John Deere SA N 0043 0017 0099 0022 0764 0003 -8346Banco AJ Renner SA N 0050 0025 0080 0013 0840 0006 -2706ABN Amro F 0043 0035 0067 0008 0894 0002 -6685Chase F 0059 0014 0189 0040 0803 0007 -2772LLoyds F 0039 0021 0055 0012 0824 0003 -5536BankBoston F 0044 0029 0075 0015 0890 0006 -1965Santander Brasil F 0054 0028 0107 0024 0871 0008 -1694Citibank F 0054 0023 0133 0026 0863 0003 -4787BNL F 0042 0028 0078 0018 0843 0005 -2998Sudameris F 0041 0036 0052 0006 0948 0010 -491Societe Generale F 0054 0020 0118 0025 0834 0006 -2716Europeu F 0038 0029 0049 0008 0856 0006 -2239ABC-Brasil F 0046 0028 0084 0014 0816 0003 -6111Dresdner F 0063 0015 0239 0061 0823 0005 -3888AGF Braseg F 0047 0027 0074 0014 0807 0004 -4477HSBC F 0054 0032 0109 0018 0950 0006 -823Deutsche F 0058 0013 0122 0028 0863 0004 -305BNP Paribas F 0051 0032 0070 0011 0822 0004 -4145Barclays F 0064 0024 0128 0029 0802 0005 -4051Rabobank Int Brasil SA F 0051 0019 0130 0021 0846 0003 -4992B Nat de Paris Brasil SA F 0043 0019 0070 0019 0819 0005 -3429Ibibank SA - Banco Multiplo F 0049 0010 0083 0020 0785 0013 -161Dresdner Bank - B Multiplo F 0087 0016 0261 0066 0783 0007 -2901Banco Westlb Do Brasil SA F 0051 0030 0082 0019 0850 0009 -1643Banco GE Capital SA F 0053 0028 0239 0044 0859 0009 -1544B Com Uruguai SA F 0071 0017 0217 0054 0845 0003 -48451S - State-owned bank N - National bank and F - Foreign bank

52

Seacuterie de Textos para Discussatildeo do Curso de Ciecircncias Econocircmicas ndash FACEUFG ndash TD [078]

EDITORIAL FACE ndash Faculdade de Administraccedilatildeo Ciecircncias Contaacutebeis e Ciecircncias Econocircmicas Curso de Ciecircncias Econocircmicas Direccedilatildeo FACE Prof Moiseacutes Ferreira da Cunha Vice-Direccedilatildeo FACE Profordf Andreacutea Freire de Lucena Coordenaccedilatildeo do Curso de Ciecircncias Econocircmicas Prof Tiago Camarinha Lopes NEPEC ndash Nuacutecleo de Estudos e Pesquisas Econocircmicas Coordenaccedilatildeo Prof Seacutergio Fornazier Meyrelles Filho SEacuteRIE DE TEXTOS PARA DISCUSSAtildeO DO CURSO DE CIEcircNCIAS ECONOcircMICAS DA UFG Coordenaccedilatildeo e Equipe de Editoraccedilatildeo Prof Sandro Eduardo Monsueto Adriana Moura Guimaratildees Matheus Henrique de Arauacutejo Dutra

Endereccedilo Campus Samambaia Preacutedio da FACE ndash Rodovia GoiacircniaNova Veneza km 0 ndash CEP 74690-900 Goiacircnia ndash GO Tel (62) 3521 ndash 1390 URL httpwwwfaceufgbreconomia Publicaccedilatildeo cujo objetivo eacute divulgar resultados de estudos que contam com a participaccedilatildeo de pesquisadores do NEPEC As opiniotildees contidas nesta publicaccedilatildeo satildeo de inteira responsabilidade do(s) autor(es) natildeo representando necessariamente o ponto de vista do NEPEC ou da FACEUFG Eacute permitida a reproduccedilatildeo desde que citada a fonte

Page 22: 1(3(& )$&( 8)* · The Dark Side of Prudential MeasuresI Paulo R. Scalco a, Benjamin M. Tabak1, Anderson M. Teixeira aFaculty of Management, Accounting and Economics, Federal University

Figure 2 Marginal effects of HHI and prudential instruments (Capital Buffer Capital

RequirementLTV Reserve Requirement (Foreign) Reserve Requirement (domestic) and

cumulative prud) on themark-upucomponent

The positive sign of HHI in model 2 means that the more concentrated the banking

industry is the higher the market power of FIs This result is in line with that established by

the traditional structure-conduct-performance paradigm (Schmalensee 1989) However as

can be seen in Figure 1 the increase in the concentration index coincides with the tightening

of the prudential measures stemming from the GFC In this sense we can not say whether

this is the real effect of the increase in market concentration on the market power of FIs or

whether it is affected by the tightening of prudential measures

If we focus on prudential instruments the results for capital buffers and the capital

requirement (model 3) indicate that a tightening in these variables - whose purpose is to

increase banksrsquo capital reserve during positive shocks in the economy - has a detrimental

effect on competition market since they raise the IF mark-ups This effect happens because

this prudential measure influences the smoothing of the credit supply cycle

The same results are present for the loan-to-value variable (model 4) In general this

measure sets limits on the leverage of mortgages and other securities and a tightening in

ltv is effective in controlling possible booms in the real estate market by reducing real estate

prices and ultimately reducing the excess volatility of the economy ((Zhang amp Zoli 2016

Ely et al 2019) According to the result found the higher the limits the greater the market

power of the FIs

With respect to reserve requirements both in foreign and local currency - credit limits

directly in foreign currency and domestic currency respectively - the results (model 5) also

demonstrate a detrimental effect on competition since the tightening in such measures also

implies an increase mark-up of IFs In the model 6 where we introduce the aggregate

prudential measure the result found is similar to the others that is the higher the tightness

(in general) in the prudential measures of the financial system the higher the market power

of FIs

20

Unfortunately since prudential variables represent only a measure of tightening or loos-

ening of prudential policy and not its magnitude we can not accurately assess the impact

of these variables on the mark-up The marginal effects represented in Figure 2 give us only

an idea of how such variables affected the estimated mark-ups

However in general we can say that the positive signs of the estimates mean that the

higher the tightness in these prudential policies the greater the mark-up and consequently

the higher the market power of the FIs Therefore we find a perverse effect on industry

competition and probably a loss of borrowers welfare

Our results are in accordance with the evidence that the increase in prudential rigor has

negative impacts mainly on the supply of credit (Lim et al 2011 Claessens 2015 Aiyar

et al 2014 Gropp et al 2018 Cerutti et al 2017a) Ceteris paribus the increase of IF

mark-ups would be a fully expected effect As highlighted by Claessens amp Laeven (2004) any

policy that restricts the activity of banks and hinders their operation has negative impacts

on market competition

52 Estimation of Lerner indices

Regarding the mark-up estimation the values reported at the bottom of Table 2 corre-

spond to the distance between the observed revenue-cost ratio and its competitive boundary

that is the component u

To interpret the mark-up however we will focus the discussion on the estimates of

Lerner index (equation 21) because they have a more unambiguous economic meaning We

summarize the results of Lerner index for general estimates by type of control and for each

model in Table 3 and the Figure 3 shows their frequency distributions We should emphasize

that these estimates are individuals that is we obtain the estimates for each IF and at each

period t The tables in Annex (A6 to A11) summarizes the estimates of the Lerner index

and the returns to scale for each IF in the sample

Table 3 Estimates of Lerner index general and by type of control

21

Figure 3 Frequency distribution of Lerner indexes for each model and density estimation

Kernel by typeof control

For all six models all mark-up estimates were within the theoretical range of 0 and 1

with the minimum value being 0009 (model 2) and the maximum value 0362 (model 3) In

general the estimated average value was between 0051 (model 2) and 0058 (models 1 and

5) which means that on average Brazilian banks have a mark-up between 51 and 58

These values are slightly different when we separate the estimates by type of control

In the case of state-owned banks the average mark-up was between 0047 (model 2)

and 0057 (model 1) These values are lower in all the estimated models to the values

of (privates) national banks (0052-0057) and foreign banks (0050-0061) However the

medians of estimated values for state-owned banks were higher than the national and foreign

private banks in all models

For comparison purposes these values are considerably lower than the value (016) esti-

mated for Brazil in Coccorese (2014) We believe that this difference is due to the model and

sample used Coccorese (2014) has estimated the dual version of model (equation 5) and

as highlighted by Kumbhakar et al (2012) the use of accounting information to calculate

input prices can generate problems when they are endogenous

Regarding the sample Coccorese (2014) also used a different period from ours (1994 to

2012) and a more significant number of IFs in the sample (189 against 83 used by us) The

main difference here is in the number of IF - 106 in total In this respect it is essential to

note that these FIs constitute small FIs and in the second half of 2014 they held only 37

of total SFN assets and 24 of the total credit portfolio

We tried to replicated the Coccoresersquo sample but in preliminary tests we have found great

difficulties in the models estimations in particular at convergence of likelihood function

We observed these small IFs had in several situations extremely high values for the revenue-

cost ratio or excessively low for the inputs used (personnel expenses and funding) as well

as other problems such as launch errors (positive values in variables of expenditure for

example) and missings For these reasons and considering that such IFs represented only a

22

small fraction of Brazilian credit market we decided to exclude them from the sample

However It is worth highlight as they are small FIs the vast majority operate in particular

segments of the credit market and probably assume a more risk-taking behavior Considering

that they will work with a segment of credit claimants with rdquoworse scoresrdquo than borrowers

using large FIs we expect that the mark-up of these IFs will be higher We can observe

(part of) this phenomenon in Figure 4 where we represent the estimates of the Lerner index

(vertical axis) against market share of total assets (horizontal axis) of our sample and it is

quite evident the smaller banks have the higher mark-ups Therefore as our sample exclude

a large proportion of these small IFs it is natural that Coccorese (2014)rsquo results larger than

ours

Figure 4 Lerner indexes according to the size (market share) of banksrsquo assets

Regardless of this our results seem to adhere well to reality because if we look at Figure

5 we note that the Lerner indices show a significant increase from the second semester of

2008 These results are in agreement with the results of Cubillas amp Suarez (2018) Besides

in Figure 6 Lerner indexes are separated by type of control and we can observe that with

some exceptions the market power has always been lower for state-owned banks especially

considering the period after the GFC

Figure 5 Average Lerner indices for each model between 2000q2 and 2014q4

Figure 6 Average Lerner indices estimated for public private national and private

foreign banks between2000q2 and 2014q4

23

53 Estimation of Returns to Scale

Finally Table 4 and Figure 7 summarize the estimates of returns to scale We highlight

that the average of the returns to the scale of the Brazilian FIs is very close if we comparer

the six estimated models (between 0848 and 0851) Although the values are close to unity

in all IFs we reject the hypotheses of constant returns to the scale that is RTS = 1 therefore

IFs have diseconomies of scale

Table 4 Estimates of returns to scale by control type and general

When we separate estimates by type of control the estimates of state-owned banks

(0937-0944) are higher than national (0824-0829) and foreign banks (0841-0844) This

result means that the scale problem is a problem common to all FIs in Brazil Moreover

state-owned banks runs closer to the constant return region than national and foreign banks

Figure 7 Frequency distribution of the returns to scale indexes for each model and

density estimationKernel by type of control

6 Final Considerations

Considering that the banking industry underwent a significant restructuring in recent

years caused by several mergers and acquisitions in the sector as well as by a severe financial

crisis started in mid 2007 and potentialized in 2008 understand the behavior of market

power and as a (partial) set of prudential instruments influencing this dynamic has become

paramount Thus in an innovative way this paper proposed the use of stochastic frontier

analysis techniques to measure market power for the Brazilian banking industry and to test

if such prudential measures had an impact on the competitive dynamics of sector

The estimated average Lerner index was between 51 and 58 for Brazilian FIs How-

ever when controlled by the type of control we find that state-owned banks have slightly

24

lower estimates than national and foreign banks respectively Also estimates of returns to

scale allow us to infer that FIs operate with diseconomies of scale

Concerning the impact of prudential measures on the market power of FIs our results

generally suggest that tightening of prudential measures have a positive impact on bank

mark-up and consequently have detrimental effects on competition in industry banking

Finally in future research it will be possible to better understand the influence of some

prudential measures in the banking market through the study by type of segment or line of

credit

25

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idence from a uk policy experiment Journal of Money Credit and Banking 46 181ndash214

URL httpsonlinelibrarywileycomdoiabs101111jmcb12086 doi101111jmcb12086

arXivhttpsonlinelibrarywileycomdoipdf101111jmcb12086

Altunbas Y Binici M amp Gambacorta L (2018) Macroprudential policy and bank risk Journal of

International Money and Finance 81 203ndash220 doihttpsdoiorg101016jjimonfin201711

012

Araujo L A D d amp Jorge Neto P d M (2007) Risco e competicao bancaria no Brasil Revista Brasileira

de Economia 61 175ndash200 URL httpwwwscielobrscielophpscript=sci_abstractamppid=

S0034-71402007000200003amplng=enampnrm=isoamptlng=pt doi101590S0034-71402007000200003

Auer R amp Ongena S (2019) The countercyclical capital buffer and the composition of bank lending

Available at SSRN 3345189

Ayyagari M Beck T amp Peria M (2018) The micro impact of macroprudential policies Firm-level

evidence IMF Working Paper

Barbosa K de Paula Rocha B amp Salazar F (2015) Assessing competition in the banking indus-

try A multi-product approach Journal of Banking amp Finance 50 340ndash362 URL httpwww

sciencedirectcomsciencearticlepiiS0378426614001642 doi101016jjbankfin201405

003

Belaisch A (2003) Do Brazilian Banks Compete SSRN Scholarly Paper ID 879189 Social Science Research

Network Rochester NY URL httpspapersssrncomabstract=879189

Bikker J A Shaffer S amp Spierdijk L K (2012) Assessing competition with the panzar-rosse model

The role of scale costs and equilibrium Economics Letters 94 1025ndash1044

Bresnahan T F (1982) The oligopoly solution concept is identified Economics Letters 10 87ndash92 URL

httpdxdoiorg1010160165-1765(82)90121-5 doi1010160165-1765(82)90121-5

Bresnahan T F amp Reiss P (1991) Entry and competition in concentrated markets Journal of Political

Economy 99 977ndash1009

Camors C amp Peydro J (2014) Macroprudential and monetary policy Loan-level evidence from reserve

requirement Mimeo Universitat Pompeu Fabra URL httpspdfssemanticscholarorgd508

61639bb4e7453a7a39184edf9b0c1e7016a6pdf

Cardoso M Azevedo P F amp Barbosa K (2016) Concorrencia no setor bancario brasileiro bancos

individuais versus conglomerados bancarios (pp 113ndash146) URL httprepositorioipeagovbr

handle110586650

Cerutti E Claessens S amp Laeven L (2017a) The use and effectiveness of macroprudential policies New

26

evidence Journal of Financial Stability 28 203ndash224 doihttpsdoiorg101016jjfs201510

004

Cerutti E Correa R Fiorentino E amp Segalla E (2016) Changes in prudential policy instruments ndash a

new cross-country database IMF Working Paper WP1610

Cerutti E Dagher J amp DellrsquoAriccia G (2017b) Housing finance and real-estate booms A cross-country

perspective Journal of Housing Economics 38 1ndash13

Claessens S (2015) An overview of macroprudential policy tools Annual Re-

view of Financial Economics 7 397ndash422 URL httpsdoiorg101146

annurev-financial-111914-041807 doi101146annurev-financial-111914-041807

arXivhttpsdoiorg101146annurev-financial-111914-041807

Claessens S Ghosh S R amp Mihet R (2013) Macro-prudential policies to mitigate financial system

vulnerabilities Journal of International Money and Finance 39 153ndash185 doihttpsdoiorg10

1016jjimonfin201306023

Claessens S amp Laeven L (2004) What drives bank competition some international evidence Journal

of Money Credit and Banking 36 563ndash583 URL httpwwwjstororgstable3838954

Coccorese P (2014) Estimating the Lerner index for the banking industry a stochastic frontier approach

Applied Financial Economics 24 73ndash88 URL httpdxdoiorg101080096031072013866202

doi101080096031072013866202

Coelho C A De Mello J M amp Rezende L (2013) Do Public Banks Compete with Private

Banks Evidence from Concentrated Local Markets in Brazil Journal of Money Credit and Bank-

ing 45 1581ndash1615 URL httponlinelibrarywileycomdoi101111jmcb12063abstract

doi101111jmcb12063

Cubillas E amp Suarez N (2018) Bank market power and lending during the global financial crisis Jour-

nal of International Money and Finance 89 1ndash22 URL httpwwwsciencedirectcomscience

articlepiiS0261560618303048 doihttpsdoiorg101016jjimonfin201808003

Das A amp Kumbhakar S C (2016) Markup and efficiency of Indian banks an input distance func-

tion approach Empirical Economics (pp 1ndash31) URL httplinkspringercomarticle101007

s00181-015-1062-4 doi101007s00181-015-1062-4

Ely R Tabak B amp Teixeira A (2019) Heterogeneous effects of the implementation of macroprudential

policies on bank risk MPRA Paper No94546

Freixas X Laeven L amp Peydro J-L (2015) Systemic Risk Crises and Macroprudential Regulation

Mit Press URL httpwwwjstororgstablejctt17kk82g

Galati G amp Moessner R (2013) Macroprudential policy ndash a literature review Jour-

nal of Economic Surveys 27 846ndash878 URL httpsonlinelibrarywileycom

27

doiabs101111j1467-6419201200729x doi101111j1467-6419201200729x

arXivhttpsonlinelibrarywileycomdoipdf101111j1467-6419201200729x

Gropp R Mosk T Ongena S amp Wix C (2018) Banks Response to Higher Cap-

ital Requirements Evidence from a Quasi-Natural Experiment The Review of Finan-

cial Studies 32 266ndash299 URL httpsdoiorg101093rfshhy052 doi101093rfshhy052

arXivhttpoupprodsislanrfsarticle-pdf32126627185080hhy052pdf

Hyde C E amp Perloff J M (1995) Can market power be estimated Review of Industrial Organization 10

465ndash485 URL httplinkspringercomarticle101007BF01024231 doi101007BF01024231

Igan D amp Kang H (2011) Do loan-to-value and debt-to-income limits work evidence from korea IMF

Working Papers (pp 1ndash34)

Jimenez G Ongena S Peydro J-L amp Saurina J (2017) Macroprudential policy countercyclical bank

capital buffers and credit supply Evidence from the spanish dynamic provisioning experiments Journal

of Political Economy 125 2126ndash2177 URL httpsdoiorg101086694289 doi101086694289

arXivhttpsdoiorg101086694289

Jondrow J Knox Lovell C A Materov I S amp Schmidt P (1982) On the estimation of technical

inefficiency in the stochastic frontier production function model Journal of Econometrics 19 233ndash

238 URL httpwwwsciencedirectcomsciencearticlepii0304407682900045 doi101016

0304-4076(82)90004-5

Klingelhoger J amp Sun R (2019) Macruprudential policy central banks and financial stability Evidence

from china Journal of International Money and Finance 93 19ndash41 URL httpsdoiorg101016

jjimonfin201812015

Kumbhakar S C (2012) Specification and estimation of primal production models European Journal

of Operational Research 217 509ndash518 URL httpwwwsciencedirectcomsciencearticlepii

S0377221711008939 doi101016jejor201109043

Kumbhakar S C Baardsen S amp Lien G (2012) A New Method for Estimating Market Power with

an Application to Norwegian Sawmilling Review of Industrial Organization 40 109ndash129 URL http

linkspringercomarticle101007s11151-012-9339-7 doi101007s11151-012-9339-7

Lerner A P (1934) The Concept of Monopoly and the Measurement of Monopoly Power The Review

of Economic Studies 1 157ndash175 URL httprestudoxfordjournalsorglookupdoi102307

2967480 doi1023072967480

Lim C H Costa A Columba F Kongsamut P Otani A Saiyid M Wezel T amp Wu X (2011)

Macroprudential policy what instruments and how to use them lessons from country experiences IMF

working papers (pp 1ndash85)

Lopez R A He X amp Azzam A (2018) Stochastic frontier estimation of market

28

power in the food industries Journal of Agricultural Economics 69 3ndash17 URL https

onlinelibrarywileycomdoiabs1011111477-955212219 doi1011111477-955212219

arXivhttpsonlinelibrarywileycomdoipdf1011111477-955212219

Lucinda C R (2010) Competition in the Brazilian loan market an empirical analysis Estudos Economicos

(Sao Paulo) 40 831ndash858 URL httpwwwscielobrscielophpscript=sci_abstractamppid=

S0101-41612010000400004amplng=enampnrm=isoamptlng=en doi101590S0101-41612010000400004

Moreno R (2011) Policymaking from arsquomacroprudentialrsquoperspective in emerging market economies

Nakane M I (2002) A test of competition in brazilian banking Estudos Economicos (Sao Paulo) 32

203ndash224 URL httpwwwrevistasuspbreearticleview117799

Panzar J C amp Rosse J N (1987) Testing for rdquomonopolyrdquo equilibrium The Journal of Industrial

Economics 35 443ndash456 URL httpwwwjstororgstable2098582 doi1023072098582

Richter B Schularick M amp Shim I (2019) The costs of macroprudential policy Journal of Inter-

national Economics 118 263 ndash 282 URL httpwwwsciencedirectcomsciencearticlepii

S0022199618302617 doihttpsdoiorg101016jjinteco201811011

Schmalensee R (1989) Chapter 16 inter-industry studies of structure and performance In Hand-

book of Industrial Organization (pp 951ndash1009) Elsevier BV URL httpdxdoiorg101016

s1573-448x(89)02004-2 doi101016s1573-448x(89)02004-2

Silva M S d () Avaliacao do processo de concentracao-competicao no setor bancario brasileiro URL

httpwwwbcbgovbrpecwpsporttd377pdf

Tabak B amp Gomes G (2015) The impact of market power at bank level in risk-taking The brazilian

case International Review of Financial Analysis 40 154ndash165

Tabak B M Fazio D M amp Cajueiro D O (2012) The relationship between banking market competition

and risk-taking Do size and capitalization matter 36 3366ndash3381 URL httpwwwsciencedirect

comsciencearticlepiiS0378426612002026 doi101016jjbankfin201207022

Wong T Fong T Li K-f amp Choi H (2011) Loan-to-value ratio as a macroprudential tool-hong kongrsquos

experience and cross-country evidence

Zhang L amp Zoli E (2016) Leaning against the wind Macroprudential policy in asia Journal of Asian

Economics 42 33ndash52

29

Figure 1 Evolution of the Herfindahl Index (HHI) over time using credit and total assets for theBrazilian banking system

30

Figure 2 Marginal effects of HHI and prudential instruments (Capital Buffer Capital RequirementLTV Reserve Requirement (Foreign) Reserve Requirement (domestic) and cumulative prud) on the

mark-up u component

31

Figure 3 Frequency distribution of Lerner indexes for each model and density estimation Kernel by typeof control

32

Figure 4 Lerner indexes according to the size (market share) of banksrsquo assets

33

Figure 5 Average Lerner indices for each model between 2000q2 and 2014q4

34

Figure 6 Average Lerner indices estimated for public private national and private foreign banks between2000q2 and 2014q4

35

Figure 7 Frequency distribution of the returns to scale indexes for each model and density estimationKernel by type of control

36

Table 1 Variables used to IDF estimatation

Variabel Description SourceBasic variables

TR Total Revenue = Gross Insterest Income (a) + Bank-ing Service Fee Income (d1) + Banking Fee Income(d2) + Other Operating Income (d7)

Inc statIFData

TC Total Cost = Interest Expenses (b) + Personnel Ex-penses (d3) + Administrative Expenses (d4) + TaxExpenses (d5) + Other Operating Expenses (d8)

Inc statIFData

Y Loan Lease and Other Credit Operations by RiskLevel

SummaryIFData

x1 Personnel Expenses (d3) Inc statIFDatax2 Funding (e) LiabilitiesIFDatax3 Equity (j) LiabilitiesIFData

Model variabelslnRC Log of Revenue-Cost ratiolnY Log of total loanlnx1 Log of personnel expenses and equity ratio (x1x3)lnx2 Log of funding and equity ratio (x2x3)T Time

Prudential variables - Deterministic mark-up parametersHHIt HHIt =

sumS2it where Sit

2 is market share of totalasset of bank i on time t

Inc statIFData

cb cumulative change of capital buffer Cerutti et al (2016)cr cumulative change of capital requirement Cerutti et al (2016)ltv cumulative change of loan-to-value Cerutti et al (2016)

rr foreign cumulative change of reserve requirement (foreigncurrency)

Cerutti et al (2016)

rr local cumulative change of reserve requirement (domesticcurrency)

Cerutti et al (2016)

37

Table 2 Results of IDF estimation

Parameters VariablesEstimates

Model Model Model Model Model Model(1) (2) (3) (4) (5) (6)

Parametros da funcao insumo distanciaαY Y lnY -0013 -0003 -0004 -0012 -0011 -0005

(000) (000) (000) (000) (000) (000)α1Y lnx1 -0096 -0095 -0094 -0094 -0096 -0090

(001) (001) (001) (001) (001) (001)α2Y lnx2 -0019 -0022 -0022 -0019 -0020 -0021

(001) (001) (001) (001) (001) (001)αY T T -0000 -0000 -0000 -0000 -0000 -0000

(000) (000) (000) (000) (000) (000)αY const 1153 1010 1035 1134 1129 1057

(005) (007) (005) (005) (005) (006)

Deterministic Mark-up parametersδ1 HHI 764157

(12270)δ1 Capital

Buffer7586(065)

δ2 CapitalReq

4696(160)

δ1 Loan-to-value38511(671)

δ1 ResR(foreign)10730(433)

δ2 ResR(local)2869(126)

δ1 Cum Prud3237(020)

δ0 const minus10601minus10194minus5306 minus9866 minus8577 minus4993(032) (2064) (316) (079) (119) (122)

Distribution of u and vσ2u 2840 1418 1620 2643 2441 1593σ2v 0118 0121 0120 0118 0118 0120λ 2402 1172 1354 2233 2065 1325Log Lik 887404 922033 918606 896019 891991 907817

EstimatesEstimates of Mark-up (u)Avg 0075 0065 0068 0074 0075 00691st quartile 0052 0038 0051 0051 0051 0044Median 0062 0048 0060 0060 0061 00543st quartile 0080 0074 0079 0079 0079 0075std-dev 0053 0054 0053 0053 0054 0054

Note p lt 010 p lt 005 and p lt 001

38

Table 3 Estimates of Lerner index general and by type of control

EstimatesModel Model Model Model Model Model

(1) (2) (3) (4) (5) (6)Mark-up (L) generalAverage 0058 0051 0053 0057 0058 0053std-dev 0032 0034 0034 0032 0032 00331st quartile 0043 0031 0034 0041 0042 0036Median 0051 0039 0044 0050 0050 00453st quartile 0063 0060 0059 0063 0063 0060Mark-up (L) State-owned banksAverage 0057 0047 0049 0056 0056 0050std-dev 0018 0017 0017 0018 0016 00161st quartile 0047 0035 0038 0045 0046 0040Median 0054 0041 0046 0053 0053 00463st quartile 0064 0056 0056 0064 0063 0057Mark-up (L) National banksAverage 0057 0052 0054 0057 0057 0054std-dev 0034 0038 0038 0035 0035 00371st quartile 0041 0030 0033 0040 0041 0035Median 0050 0038 0043 0048 0049 00443st quartile 0061 0061 0060 0061 0062 0060Mark-up (L) Foreign banksAverage 0061 0050 0053 0059 0060 0054std-dev 0034 0033 0032 0034 0034 00321st quartile 0042 0031 0034 0041 0042 0036Median 0052 0040 0044 0051 0051 00453st quartile 0068 0059 0060 0066 0066 0061

Table 4 Estimates of returns to scale by control type and general

ModelState-owned

banksNational

banksForeignbanks

General std-dev Min Max

1 0944 0824 0842 0848 0073 0665 11242 0940 0829 0843 0851 0066 0690 10733 0938 0827 0842 0849 0066 0689 10764 0941 0824 0842 0848 0071 0671 11115 0942 0824 0841 0848 0072 0669 11136 0937 0829 0844 0850 0065 0692 1073

39

Appendix A Attachment Tables

Table A5 Cumulative change on Prudential Measures intensity

TimeCapitalBuffer 2

(cb)

CapitalReq(cr)

Loan-to-Value(ltv)

Reserve Reqlocal curr

(RR local)

Reserve Reqforeign cur

(RR foreign)

CumulativePrudential 3

(Cum Prud)2000q2 -1 0 0 0 -2 -32000q4 -1 0 0 0 -2 -32001q2 -1 0 0 0 -2 -32001q4 0 0 0 0 -1 -12002q2 0 0 0 0 0 02002q4 2 0 0 0 2 42003q2 0 0 0 0 3 32003q4 0 0 0 0 2 22004q2 0 0 0 0 2 22004q4 0 0 0 0 2 22005q2 0 0 0 0 2 22005q4 0 0 0 0 2 22006q2 0 0 0 0 2 22006q4 0 0 0 0 2 22007q2 2 0 0 0 2 42007q4 2 0 0 0 2 42008q2 2 0 0 0 2 42008q4 2 0 0 0 1 32009q2 2 0 0 0 0 22009q4 2 0 0 0 -1 12010q2 2 0 0 0 1 32010q4 3 0 0 0 3 62011q2 3 0 0 1 3 72011q4 4 0 0 2 3 92012q2 3 1 0 2 3 92012q4 3 1 0 1 2 72013q2 3 2 0 0 2 72013q4 3 2 1 0 2 82014q2 3 2 1 0 2 82014q4 2 2 1 0 3 82Sum of capital buffer and others 3Aggregate measure (It is the sum of the change of all other instrument)

40

Table A6 Estimates of Lerner index and return to scale by bank - Model (1)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0042 0082 0009 0940 0007 -85Banrisul S 0055 0041 0084 0009 0952 0008 -635BEC S 0048 0021 0077 0016 0844 0009 -1756BRB S 0058 0033 0100 0015 0961 0003 -1533BB S 0058 0039 0098 0012 0990 0006 -173Caixa Economica Federal S 0063 0051 0174 0022 1052 0004 1458B da Amazonia SA S 0057 0016 0124 0023 0844 0008 -2028B do Estado Do Para SA S 0061 0026 0110 0022 0936 0004 -1764B do Est do Maranhao SA S 0055 0046 0065 0006 0935 0014 -455B do Est do Piauı SA - Bep S 0057 0030 0155 0029 0862 0004 -326B do Estado De Sergipe SA S 0061 0024 0135 0022 0947 0004 -1453Nossa Caixa - N Banco SA S 0057 0036 0090 0013 0981 0004 -444Bradesco N 0056 0038 0114 0015 0925 0004 -1945Itau N 0059 0031 0220 0033 0901 0003 -3797Safra N 0053 0037 0085 0009 0885 0003 -4215Unibanco N 0055 0037 0088 0014 0897 0001 -7054Mercantil Do Brasil N 0057 0027 0077 0011 0945 0002 -2527BBM N 0076 0016 0300 0065 0783 0005 -4464BMC N 0052 0030 0079 0012 0845 0003 -4703BMG N 0065 0017 0208 0045 0779 0003 -729JMalucelli N 0047 0022 0069 0013 0718 0003 -8765PEBB N 0065 0017 0181 0047 0698 0008 -3914SS N 0057 0034 0220 0037 0799 0007 -2839Sofisa N 0054 0021 0092 0020 0804 0002 -9903BIC N 0060 0034 0236 0040 0855 0005 -276Schahin N 0056 0028 0214 0035 0835 0006 -262Stock N 0081 0020 0267 0067 0817 0006 -3107Pine N 0052 0022 0108 0019 0808 0004 -545Socopa N 0056 0027 0120 0017 0886 0003 -3806Intercap N 0060 0023 0212 0037 0812 0007 -2851Indusval N 0062 0030 0246 0043 0857 0005 -3139Bonsucesso N 0052 0020 0092 0018 0779 0005 -4033Industrial do Brasil N 0051 0031 0081 0016 0807 0002 -952Votorantim N 0052 0037 0107 0017 0819 0009 -2117Cacique N 0053 0024 0071 0014 0774 0005 -4621Inter Amex N 0055 0037 0068 0010 0837 0008 -2158Alfa N 0048 0041 0059 0005 0806 0002 -11303Rendimento N 0053 0022 0080 0012 0872 0008 -1562Bancoob N 0052 0046 0056 0003 0856 0003 -5061Original N 0085 0017 0279 0090 0729 0007 -4163Banco Intermedium SA N 0052 0028 0070 0015 0743 0006 -3973

Table A6 ndash Continue on next page

41

Table A6 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0225 0049 0761 0003 -7509Banco BBN SA N 0053 0027 0077 0014 0817 0012 -1509B Cooperativo Sicredi SA N 0052 0043 0062 0005 0875 0005 -2477B Cooperativo do Brasil SA N 0056 0046 0142 0020 0910 0006 -1479Banco Topazio SA N 0060 0035 0110 0027 0834 0006 -2966Banco Gerador SA N 0069 0045 0122 0028 0852 0008 -1968Banco Randon SA N 0109 0023 0320 0109 0783 0005 -4158Parana Banco SA N 0050 0026 0108 0020 0784 0008 -2799Banco Triangulo SA N 0055 0028 0091 0020 0833 0004 -4201Banco Guanabara SA N 0052 0024 0169 0025 0777 0004 -5588Banco Cedula SA N 0068 0012 0339 0061 0731 0003 -10236Banco Cacique SA N 0077 0028 0248 0077 0785 0016 -1309B Luso Brasileiro SA N 0065 0027 0208 0043 0849 0004 -349Banco Pecunia SA N 0047 0039 0060 0006 0770 0003 -7086Banco Zogbi SA N 0051 0038 0067 0011 0778 0001 -15193Banco Daycoval SA N 0054 0023 0131 0026 0783 0004 -5522B John Deere SA N 0059 0018 0133 0033 0756 0003 -7955Banco AJ Renner SA N 0053 0025 0081 0015 0827 0006 -2742ABN Amro F 0056 0039 0079 0014 0914 0002 -427Chase F 0068 0014 0228 0049 0790 0008 -2678LLoyds F 0053 0027 0064 0012 0825 0003 -5159BankBoston F 0057 0040 0099 0020 0902 0006 -1638Santander Brasil F 0057 0034 0097 0017 0890 0008 -146Citibank F 0059 0026 0153 0028 0875 0003 -4039BNL F 0055 0041 0097 0019 0840 0006 -2767Sudameris F 0056 0048 0065 0005 0966 0012 -297Societe Generale F 0060 0024 0153 0031 0826 0006 -299Europeu F 0054 0032 0073 0013 0848 0007 -2287ABC-Brasil F 0052 0025 0082 0014 0815 0003 -6207Dresdner F 0083 0017 0280 0074 0815 0006 -3234AGF Braseg F 0051 0031 0100 0016 0794 0004 -4923HSBC F 0057 0046 0092 0010 0971 0006 -466Deutsche F 0068 0013 0160 0036 0857 0004 -3335BNP Paribas F 0050 0037 0068 0007 0824 0005 -3665Barclays F 0052 0024 0089 0021 0771 0008 -2787Rabobank Int Brasil SA F 0058 0022 0166 0028 0842 0003 -5284B Nat de Paris Br SA F 0063 0023 0109 0033 0811 0006 -3331Ibibank SA - Banco Multiplo F 0059 0012 0106 0024 0781 0015 -1441Dresdner Bank - B Multiplo F 0086 0016 0244 0068 0768 0008 -2746Banco Westlb Do Brasil SA F 0064 0034 0108 0027 0839 0010 -1626Banco GE Capital SA F 0067 0032 0247 0047 0852 0010 -1527B Com Uruguai SA F 0072 0020 0192 0049 0830 0003 -52281S - State-owned bank N - National bank and F - Foreign bank

42

Table A7 Estimates of Lerner index and return to scale by bank - Model (2)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0049 0032 0085 0016 0944 0008 -716Banrisul S 0049 0032 0106 0017 0939 0008 -75BEC S 0032 0016 0046 0008 0860 0009 -1489BRB S 0049 0030 0112 0017 0961 0002 -1681BB S 0049 0032 0091 0016 0948 0006 -845Caixa Economica Federal S 0052 0034 0081 0014 1012 0003 382B da Amazonia SA S 0053 0015 0140 0028 0847 0008 -1922B do Estado Do Para SA S 0046 0029 0063 0009 0952 0005 -963B do Est do Maranhao SA S 0036 0029 0045 0005 0963 0016 -235B do Est do Piauı SA - Bep S 0036 0023 0071 0011 0888 0005 -2314B do Estado De Sergipe SA S 0050 0020 0155 0024 0962 0004 -1043Nossa Caixa - N Banco SA S 0039 0027 0074 0011 0972 0005 -601Bradesco N 0050 0028 0116 0023 0890 0004 -2618Itau N 0052 0024 0222 0037 0869 0003 -4269Safra N 0046 0028 0100 0017 0867 0003 -5042Unibanco N 0035 0028 0054 0007 0873 0001 -8511Mercantil Do Brasil N 0051 0029 0093 0019 0941 0002 -2837BBM N 0063 0012 0213 0048 0790 0005 -4494BMC N 0034 0023 0049 0007 0851 0003 -4266BMG N 0065 0015 0233 0057 0776 0004 -6135JMalucelli N 0052 0018 0080 0016 0720 0003 -9566PEBB N 0037 0014 0108 0025 0732 0009 -3086SS N 0056 0024 0236 0046 0797 0007 -2849Sofisa N 0052 0018 0107 0028 0808 0002 -8115BIC N 0057 0026 0259 0050 0850 0006 -2531Schahin N 0047 0022 0225 0041 0845 0007 -2359Stock N 0078 0017 0287 0071 0843 0006 -2782Pine N 0048 0018 0114 0023 0811 0004 -4973Socopa N 0050 0022 0136 0024 0908 0003 -3089Intercap N 0051 0019 0133 0031 0832 0006 -2759Indusval N 0061 0023 0267 0052 0866 0006 -2437Bonsucesso N 0050 0017 0109 0026 0791 0006 -3655Industrial do Brasil N 0044 0024 0079 0015 0816 0002 -8095Votorantim N 0048 0025 0120 0026 0807 0007 -2721Cacique N 0033 0020 0039 0006 0782 0005 -4597Inter Amex N 0035 0025 0045 0007 0844 0006 -2419Alfa N 0042 0029 0069 0013 0801 0002 -12139Rendimento N 0049 0019 0077 0015 0889 0008 -1394Bancoob N 0065 0057 0073 0006 0855 0003 -4199Original N 0099 0019 0299 0096 0732 0006 -4473Banco Intermedium SA N 0062 0032 0081 0019 0754 0006 -4393

Table A7 ndash Continue on next page

43

Table A7 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0059 0016 0239 0051 0778 0003 -6944Banco BBN SA N 0035 0020 0053 0009 0834 0011 -1466B Cooperativo Sicredi SA N 0045 0032 0070 0011 0881 0005 -2581B Cooperativo do Brasil SA N 0045 0029 0147 0025 0922 0006 -1274Banco Topazio SA N 0076 0043 0138 0038 0861 0005 -2569Banco Gerador SA N 0089 0054 0153 0037 0874 0008 -1645Banco Randon SA N 0122 0029 0335 0113 0803 0005 -388Parana Banco SA N 0033 0020 0062 0011 0800 0009 -234Banco Triangulo SA N 0052 0022 0105 0027 0841 0004 -4148Banco Guanabara SA N 0046 0019 0091 0020 0793 0004 -5561Banco Cedula SA N 0062 0011 0359 0067 0749 0003 -9911Banco Cacique SA N 0049 0020 0157 0048 0791 0016 -1315Banco Luso Brasileiro SA N 0066 0022 0241 0055 0870 0005 -2851Banco Pecunia SA N 0032 0027 0036 0003 0787 0003 -6876Banco Zogbi SA N 0032 0026 0037 0005 0784 0002 -13006Banco Daycoval SA N 0053 0019 0139 0036 0784 0004 -6065Banco John Deere SA N 0035 0016 0073 0016 0761 0003 -8278Banco AJ Renner SA N 0047 0021 0083 0015 0844 0006 -2553ABN Amro F 0035 0027 0047 0006 0889 0002 -7231Chase F 0054 0013 0157 0033 0804 0007 -2702LLoyds F 0033 0020 0043 0008 0821 0003 -5429BankBoston F 0036 0026 0060 0011 0888 0006 -1917Santander Brasil F 0055 0025 0115 0030 0864 0008 -1647Citibank F 0051 0020 0132 0025 0860 0003 -4735BNL F 0036 0026 0062 0012 0843 0005 -2959Sudameris F 0036 0031 0040 0004 0949 0011 -468Societe Generale F 0051 0018 0104 0024 0835 0007 -2454Europeu F 0034 0025 0041 0006 0859 0007 -2076ABC-Brasil F 0043 0026 0086 0015 0813 0003 -5797Dresdner F 0050 0014 0190 0046 0824 0004 -3975AGF Braseg F 0044 0024 0068 0014 0810 0005 -4109HSBC F 0052 0031 0110 0021 0948 0007 -776Deutsche F 0054 0012 0166 0030 0866 0005 -2754BNP Paribas F 0049 0028 0073 0013 0818 0004 -4092Barclays F 0065 0028 0121 0027 0811 0005 -4028Rabobank Int Brasil SA F 0047 0017 0102 0017 0845 0003 -4605B Nat de Paris Brasil SA F 0036 0017 0054 0013 0819 0005 -3304Ibibank SA - Banco Multiplo F 0043 0010 0114 0025 0782 0013 -1623Dresdner Bank - B Multiplo F 0096 0015 0270 0076 0785 0007 -2924Banco Westlb Do Brasil SA F 0041 0026 0062 0013 0853 0010 -154Banco GE Capital SA F 0054 0026 0253 0049 0862 0010 -1444B Com Uruguai SA F 0070 0017 0220 0058 0849 0003 -4471S - State-owned bank N - National bank and F - Foreign bank

44

Table A8 Estimates of Lerner index and return to scale by bank - Model (3)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0034 0090 0016 0941 0008 -772Banrisul S 0051 0032 0108 0016 0938 0008 -772BEC S 0035 0018 0051 0009 0856 0009 -1562BRB S 0052 0032 0122 0018 0958 0002 -1793BB S 0052 0035 0085 0015 0951 0006 -809Caixa Economica Federal S 0054 0039 0098 0014 1015 0003 465B da Amazonia SA S 0053 0014 0113 0024 0845 0008 -1977B do Estado Do Para SA S 0049 0028 0071 0010 0947 0005 -1117B do E do Maranhao SA S 0041 0032 0059 0008 0957 0015 -285B do E do Piauı SA - Bep S 0041 0028 0086 0014 0882 0005 -2518B do Estado De Sergipe SA S 0052 0021 0145 0022 0957 0004 -1182Nossa Caixa - N Banco SA S 0045 0029 0081 0015 0971 0005 -651Bradesco N 0052 0029 0101 0021 0893 0004 -2614Itau N 0054 0025 0203 0034 0872 0003 -4328Safra N 0048 0029 0093 0015 0869 0003 -5008Unibanco N 0041 0028 0067 0010 0874 0001 -8514Mercantil Do Brasil N 0053 0026 0095 0018 0939 0002 -29BBM N 0067 0013 0250 0056 0789 0005 -4501BMC N 0038 0024 0069 0010 0849 0003 -4408BMG N 0067 0015 0233 0058 0776 0004 -6374JMalucelli N 0052 0022 0087 0016 0720 0003 -9426PEBB N 0045 0014 0158 0040 0727 0009 -3192SS N 0057 0025 0231 0046 0797 0007 -287Sofisa N 0053 0018 0116 0026 0807 0002 -8444BIC N 0059 0030 0250 0049 0850 0006 -2596Schahin N 0048 0023 0220 0038 0842 0007 -2424Stock N 0083 0017 0304 0077 0838 0006 -2873Pine N 0049 0019 0105 0020 0810 0004 -5103Socopa N 0050 0026 0111 0018 0903 0003 -3253Intercap N 0055 0020 0196 0036 0828 0006 -283Indusval N 0062 0029 0282 0052 0863 0005 -2588Bonsucesso N 0051 0017 0118 0025 0789 0006 -3771Industrial do Brasil N 0046 0025 0086 0015 0815 0002 -8341Votorantim N 0050 0027 0128 0027 0809 0007 -2664Cacique N 0037 0020 0048 0009 0781 0005 -4645Inter Amex N 0039 0026 0058 0009 0842 0006 -2468Alfa N 0044 0031 0072 0011 0801 0002 -11998Rendimento N 0049 0022 0078 0011 0885 0008 -1463Bancoob N 0066 0057 0077 0007 0854 0003 -4342Original N 0102 0019 0301 0096 0730 0006 -4526Banco Intermedium SA N 0059 0027 0083 0020 0752 0006 -4354

Table A8 ndash Continue on next page

45

Table A8 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0017 0217 0054 0776 0003 -7084Banco BBN SA N 0038 0022 0058 0010 0831 0011 -1492B Cooperativo Sicredi SA N 0047 0035 0071 0010 0879 0005 -259B Cooperativo do Brasil SA N 0046 0035 0128 0020 0919 0006 -1339Banco Topazio SA N 0075 0036 0153 0041 0855 0005 -2657Banco Gerador SA N 0091 0057 0144 0034 0869 0008 -173Banco Randon SA N 0124 0029 0332 0112 0799 0005 -4023Parana Banco SA N 0036 0021 0071 0012 0797 0008 -2452Banco Triangulo SA N 0053 0023 0115 0027 0839 0004 -4256Banco Guanabara SA N 0047 0020 0100 0019 0790 0004 -561Banco Cedula SA N 0066 0012 0362 0068 0747 0003 -10082Banco Cacique SA N 0063 0026 0231 0074 0789 0016 -1336Banco Luso Brasileiro SA N 0066 0026 0249 0053 0865 0005 -2985Banco Pecunia SA N 0034 0029 0041 0004 0784 0003 -7038Banco Zogbi SA N 0036 0027 0046 0006 0782 0002 -13399Banco Daycoval SA N 0054 0019 0131 0034 0784 0004 -607Banco John Deere SA N 0039 0015 0083 0018 0761 0003 -8316Banco AJ Renner SA N 0049 0024 0073 0013 0840 0006 -2621ABN Amro F 0041 0030 0066 0009 0890 0002 -6866Chase F 0059 0013 0173 0039 0801 0007 -2733LLoyds F 0038 0021 0055 0010 0821 0003 -5484BankBoston F 0040 0028 0063 0012 0888 0006 -1931Santander Brasil F 0056 0028 0107 0027 0866 0008 -1663Citibank F 0052 0022 0123 0023 0860 0003 -4735BNL F 0039 0028 0063 0014 0841 0005 -2966Sudameris F 0041 0036 0052 0006 0948 0011 -473Societe Generale F 0052 0020 0103 0022 0833 0006 -2579Europeu F 0038 0030 0049 0007 0856 0007 -2153ABC-Brasil F 0046 0029 0079 0014 0813 0003 -5935Dresdner F 0055 0014 0212 0052 0822 0005 -3913AGF Braseg F 0046 0027 0071 0014 0806 0005 -4276HSBC F 0053 0032 0101 0019 0949 0007 -784Deutsche F 0058 0013 0141 0029 0863 0005 -2878BNP Paribas F 0051 0030 0074 0012 0818 0004 -4118Barclays F 0066 0025 0130 0030 0805 0005 -4123Rabobank Int Brasil SA F 0049 0019 0109 0018 0844 0003 -4752B Nat de Paris Brasil SA F 0041 0019 0069 0018 0817 0005 -3368Ibibank SA - Banco Multiplo F 0046 0010 0095 0021 0781 0014 -1617Dresdner Bank - B Multiplo F 0093 0017 0282 0072 0782 0008 -2899Banco Westlb Do Brasil SA F 0044 0027 0069 0015 0850 0009 -1591Banco GE Capital SA F 0055 0026 0249 0046 0859 0009 -1489B Com Uruguai SA F 0071 0017 0228 0056 0845 0003 -46241S - State-owned bank N - National bank and F - Foreign bank

46

Table A9 Estimates of Lerner index and return to scale by bank - Model (4)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0054 0041 0078 0011 0939 0007 -873Banrisul S 0055 0040 0106 0014 0948 0008 -692BEC S 0046 0020 0072 0014 0846 0009 -1746BRB S 0057 0032 0094 0016 0959 0002 -1673BB S 0057 0038 0095 0014 0981 0006 -33Caixa Economica Federal S 0061 0049 0165 0021 1042 0003 1249B da Amazonia SA S 0056 0015 0117 0022 0844 0008 -2047B do Estado Do Para SA S 0059 0025 0103 0020 0936 0004 -1701B do E Do Maranhao SA S 0052 0044 0062 0005 0936 0014 -448B do E Do Piauı SA - Bep S 0054 0029 0147 0028 0865 0004 -3201B do Estado De Sergipe SA S 0061 0023 0168 0026 0947 0004 -1484Nossa Caixa - N Banco SA S 0054 0035 0085 0012 0977 0004 -547Bradesco N 0056 0036 0107 0017 0919 0004 -2123Itau N 0058 0030 0212 0032 0896 0003 -3979Safra N 0052 0035 0107 0013 0882 0003 -445Unibanco N 0052 0035 0082 0013 0892 0001 -7446Mercantil Do Brasil N 0057 0027 0093 0015 0942 0002 -2687BBM N 0075 0015 0294 0064 0784 0005 -4512BMC N 0050 0029 0074 0011 0846 0003 -472BMG N 0065 0016 0202 0047 0779 0003 -7192JMalucelli N 0048 0022 0071 0014 0720 0003 -8923PEBB N 0061 0016 0172 0044 0704 0008 -382SS N 0056 0033 0213 0037 0799 0007 -2875Sofisa N 0053 0020 0087 0019 0805 0002 -9731BIC N 0061 0033 0269 0048 0854 0005 -2768Schahin N 0053 0027 0205 0034 0836 0006 -2627Stock N 0081 0020 0265 0068 0820 0006 -3122Pine N 0052 0022 0118 0021 0808 0004 -5467Socopa N 0054 0026 0114 0016 0888 0003 -3785Intercap N 0057 0023 0203 0035 0815 0006 -2877Indusval N 0062 0029 0239 0043 0857 0005 -3085Bonsucesso N 0052 0019 0088 0018 0782 0005 -403Industrial do Brasil N 0050 0030 0076 0015 0809 0002 -9427Votorantim N 0051 0036 0102 0017 0817 0008 -2222Cacique N 0050 0023 0067 0013 0776 0005 -4659Inter Amex N 0052 0035 0064 0009 0837 0007 -2226Alfa N 0048 0039 0071 0007 0805 0002 -11484Rendimento N 0052 0022 0076 0013 0874 0008 -1571Bancoob N 0057 0045 0071 0011 0855 0003 -5022Original N 0094 0017 0278 0090 0730 0006 -4242Banco Intermedium SA N 0049 0027 0065 0014 0746 0006 -4054

Table A9 ndash Continue on next page

47

Table A9 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0019 0220 0050 0764 0003 -7516Banco BBN SA N 0050 0027 0072 0013 0819 0012 -1529B Cooperativo Sicredi SA N 0051 0041 0068 0006 0875 0005 -2551B Cooperativo do Brasil SA N 0053 0044 0134 0018 0910 0006 -151Banco Topazio SA N 0066 0035 0128 0036 0837 0005 -2981Banco Gerador SA N 0082 0045 0157 0043 0854 0007 -1967Banco Randon SA N 0106 0026 0312 0105 0786 0005 -4204Parana Banco SA N 0048 0025 0102 0018 0787 0008 -2768Banco Triangulo SA N 0054 0027 0088 0021 0834 0004 -427Banco Guanabara SA N 0051 0023 0161 0025 0780 0004 -5659Banco Cedula SA N 0069 0012 0360 0065 0735 0003 -1028Banco Cacique SA N 0073 0027 0240 0075 0786 0016 -1327Banco Luso Brasileiro SA N 0065 0026 0242 0047 0852 0004 -346Banco Pecunia SA N 0045 0037 0056 0006 0773 0003 -7139Banco Zogbi SA N 0048 0036 0064 0010 0779 0001 -15057Banco Daycoval SA N 0055 0022 0126 0030 0784 0004 -568Banco John Deere SA N 0056 0018 0125 0031 0757 0003 -8084Banco AJ Renner SA N 0051 0025 0077 0013 0829 0006 -2763ABN Amro F 0053 0038 0074 0013 0909 0002 -4803Chase F 0066 0014 0220 0046 0793 0008 -2711LLoyds F 0050 0026 0060 0011 0825 0003 -5323BankBoston F 0054 0038 0092 0018 0899 0006 -1734Santander Brasil F 0056 0033 0098 0019 0885 0007 -1529Citibank F 0059 0025 0145 0030 0872 0003 -421BNL F 0052 0039 0091 0018 0840 0006 -2854Sudameris F 0053 0046 0062 0005 0961 0011 -352Societe Generale F 0058 0023 0144 0028 0827 0006 -2968Europeu F 0052 0031 0069 0012 0849 0007 -23ABC-Brasil F 0051 0028 0091 0015 0815 0003 -6225Dresdner F 0078 0017 0271 0071 0816 0005 -339AGF Braseg F 0050 0030 0094 0015 0797 0004 -4873HSBC F 0057 0045 0116 0016 0966 0006 -562Deutsche F 0066 0013 0151 0034 0858 0004 -3316BNP Paribas F 0050 0036 0071 0010 0823 0005 -3772Barclays F 0057 0024 0102 0025 0777 0007 -3003Rabobank Int Brasil SA F 0057 0021 0157 0026 0842 0003 -5266B Nat de Paris Brasil SA F 0059 0023 0102 0030 0812 0006 -3387Ibibank SA - Banco Multiplo F 0056 0012 0100 0023 0781 0015 -148Dresdner Bank - B Multiplo F 0084 0016 0237 0064 0771 0008 -2798Banco Westlb Do Brasil SA F 0061 0033 0101 0025 0841 0010 -1646Banco GE Capital SA F 0063 0031 0238 0044 0853 0010 -1548B Com Uruguai SA F 0074 0020 0226 0056 0833 0003 -51921S - State-owned bank N - National bank and F - Foreign bank

48

Table A10 Estimates of Lerner index and return to scale by bank - Model (5)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0043 0093 0012 0940 0007 -834Banrisul S 0054 0041 0083 0009 0949 0008 -668BEC S 0046 0020 0075 0014 0846 0009 -1719BRB S 0058 0032 0121 0017 0960 0002 -1607BB S 0056 0037 0087 0010 0981 0006 -321Caixa Economica Federal S 0061 0050 0156 0019 1044 0003 1282B da Amazonia SA S 0057 0016 0115 0023 0843 0008 -2023B do Estado Do Para SA S 0059 0027 0102 0020 0938 0004 -1608B do E Do Maranhao SA S 0052 0042 0064 0006 0939 0015 -418B do E Do Piauı SA - Bep S 0054 0029 0138 0025 0866 0004 -3097B do Estado De Sergipe SA S 0059 0024 0136 0020 0949 0004 -1404Nossa Caixa - N Banco SA S 0055 0036 0088 0013 0979 0004 -494Bradesco N 0056 0037 0108 0016 0918 0004 -2108Itau N 0058 0031 0213 0033 0894 0003 -3968Safra N 0052 0036 0086 0010 0881 0003 -4388Unibanco N 0053 0037 0085 0013 0892 0001 -7433Mercantil Do Brasil N 0057 0027 0086 0012 0943 0002 -2619BBM N 0075 0015 0292 0063 0784 0005 -447BMC N 0050 0029 0077 0012 0846 0003 -4648BMG N 0067 0017 0220 0051 0777 0003 -7116JMalucelli N 0049 0022 0083 0016 0718 0003 -8879PEBB N 0060 0017 0176 0044 0704 0008 -3743SS N 0059 0032 0223 0041 0798 0007 -2847Sofisa N 0055 0021 0112 0022 0804 0002 -9624BIC N 0060 0032 0238 0041 0853 0005 -2725Schahin N 0055 0028 0228 0038 0836 0006 -2575Stock N 0082 0019 0267 0068 0821 0006 -3063Pine N 0052 0022 0096 0018 0808 0004 -5392Socopa N 0055 0027 0113 0016 0889 0003 -3694Intercap N 0060 0023 0210 0037 0814 0006 -2856Indusval N 0062 0029 0245 0044 0857 0005 -3023Bonsucesso N 0053 0020 0113 0022 0781 0005 -3999Industrial do Brasil N 0051 0030 0084 0016 0808 0002 -9274Votorantim N 0052 0037 0130 0022 0816 0008 -2227Cacique N 0049 0024 0065 0012 0775 0005 -4632Inter Amex N 0052 0034 0067 0011 0837 0007 -2236Alfa N 0047 0041 0056 0004 0804 0002 -11448Rendimento N 0053 0022 0079 0011 0874 0008 -1549Bancoob N 0056 0050 0064 0005 0856 0003 -4874Original N 0087 0018 0288 0093 0728 0006 -4259Banco Intermedium SA N 0055 0027 0078 0019 0744 0006 -4047

Table A10 ndash Continue on next page

49

Table A10 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0217 0048 0763 0003 -7417Banco BBN SA N 0051 0026 0075 0014 0820 0012 -1504B Cooperativo Sicredi SA N 0051 0040 0061 0005 0876 0005 -2499B Cooperativo do Brasil SA N 0054 0043 0136 0019 0912 0006 -1445Banco Topazio SA N 0061 0034 0109 0026 0838 0006 -2897Banco Gerador SA N 0073 0052 0124 0026 0855 0008 -1918Banco Randon SA N 0120 0024 0327 0114 0785 0005 -4153Parana Banco SA N 0048 0026 0106 0020 0786 0008 -2732Banco Triangulo SA N 0055 0027 0111 0022 0834 0004 -4227Banco Guanabara SA N 0052 0024 0153 0024 0779 0004 -5589Banco Cedula SA N 0069 0012 0339 0062 0734 0003 -10232Banco Cacique SA N 0076 0027 0246 0076 0785 0016 -1317Banco Luso Brasileiro SA N 0067 0027 0207 0047 0852 0004 -3379Banco Pecunia SA N 0046 0038 0054 0006 0773 0003 -71Banco Zogbi SA N 0047 0037 0061 0010 0778 0001 -14931Banco Daycoval SA N 0054 0022 0126 0026 0782 0004 -5661Banco John Deere SA N 0056 0018 0129 0031 0756 0003 -8043Banco AJ Renner SA N 0053 0025 0080 0015 0829 0006 -2716ABN Amro F 0053 0038 0074 0012 0908 0002 -4751Chase F 0067 0014 0225 0047 0792 0008 -2693LLoyds F 0049 0025 0064 0012 0824 0003 -5227BankBoston F 0054 0037 0096 0020 0899 0006 -1701Santander Brasil F 0057 0033 0103 0019 0884 0008 -1511Citibank F 0059 0026 0154 0028 0871 0003 -4204BNL F 0052 0037 0097 0020 0840 0006 -28Sudameris F 0052 0045 0058 0005 0962 0011 -334Societe Generale F 0060 0023 0151 0031 0827 0006 -2924Europeu F 0050 0032 0066 0012 0849 0007 -2263ABC-Brasil F 0051 0025 0079 0014 0814 0003 -617Dresdner F 0080 0017 0276 0073 0816 0005 -3374AGF Braseg F 0050 0031 0093 0015 0796 0004 -4812HSBC F 0057 0043 0093 0011 0966 0006 -541Deutsche F 0066 0013 0155 0035 0858 0004 -3244BNP Paribas F 0050 0035 0067 0008 0822 0005 -3775Barclays F 0056 0024 0113 0025 0778 0007 -305Rabobank Int Brasil SA F 0057 0021 0163 0027 0842 0003 -5208B Nat de Paris Brasil SA F 0058 0022 0100 0029 0812 0006 -3343Ibibank SA - Banco Multiplo F 0057 0012 0099 0023 0780 0015 -1478Dresdner Bank - B Multiplo F 0087 0016 0244 0068 0770 0008 -2768Banco Westlb Do Brasil SA F 0063 0034 0106 0026 0841 0010 -1625Banco GE Capital SA F 0064 0032 0247 0046 0853 0010 -1522B Com Uruguai SA F 0073 0019 0191 0049 0833 0003 -50981S - State-owned bank N - National bank and F - Foreign bank

50

Table A11 Estimates of Lerner index and return to scale by bank - Model (6)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0036 0096 0015 0939 0007 -855Banrisul S 0050 0035 0098 0014 0938 0008 -82BEC S 0041 0019 0067 0012 0855 0009 -1644BRB S 0053 0029 0124 0018 0956 0002 -1996BB S 0051 0032 0088 0013 0954 0006 -807Caixa Economica Federal S 0054 0040 0094 0012 1014 0003 475B da Amazonia SA S 0053 0015 0103 0022 0846 0008 -205B do Estado Do Para SA S 0051 0028 0074 0013 0943 0004 -1319B do E Do Maranhao SA S 0041 0031 0059 0008 0950 0014 -346B do E Do Piauı SA - Bep S 0042 0028 0084 0012 0879 0004 -2727B do Estado De Sergipe SA S 0052 0022 0153 0022 0953 0003 -1377Nossa Caixa - N Banco SA S 0047 0032 0081 0014 0969 0004 -74Bradesco N 0052 0032 0097 0019 0898 0004 -2645Itau N 0054 0027 0190 0031 0877 0003 -4452Safra N 0049 0032 0100 0015 0872 0003 -5056Unibanco N 0043 0032 0067 0010 0878 0001 -8666Mercantil Do Brasil N 0053 0026 0087 0017 0938 0002 -3104BBM N 0066 0013 0251 0056 0792 0005 -4556BMC N 0041 0026 0069 0011 0850 0003 -4582BMG N 0067 0016 0228 0057 0781 0003 -6611JMalucelli N 0051 0022 0089 0017 0725 0003 -9344PEBB N 0046 0015 0157 0039 0728 0008 -3313SS N 0058 0025 0230 0046 0801 0007 -292Sofisa N 0053 0020 0119 0025 0809 0002 -8846BIC N 0060 0029 0262 0049 0852 0005 -2697Schahin N 0049 0025 0229 0040 0843 0006 -2523Stock N 0081 0017 0284 0072 0836 0005 -2986Pine N 0049 0021 0112 0019 0812 0004 -5267Socopa N 0050 0026 0095 0015 0900 0003 -3515Intercap N 0055 0021 0196 0035 0828 0006 -2899Indusval N 0061 0029 0262 0049 0863 0005 -2762Bonsucesso N 0052 0019 0123 0026 0791 0005 -3885Industrial do Brasil N 0046 0027 0088 0015 0816 0002 -8698Votorantim N 0051 0027 0139 0027 0813 0007 -262Cacique N 0039 0022 0050 0009 0784 0005 -4707Inter Amex N 0045 0027 0064 0012 0843 0006 -2493Alfa N 0044 0033 0068 0009 0805 0002 -12111Rendimento N 0050 0022 0073 0010 0883 0008 -1543Bancoob N 0066 0055 0072 0007 0856 0003 -4559Original N 0098 0020 0294 0094 0735 0006 -4509Banco Intermedium SA N 0057 0024 0085 0022 0756 0006 -4324

Table A11 ndash Continue on next page

51

Table A11 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0061 0017 0195 0048 0777 0003 -7233Banco BBN SA N 0042 0023 0059 0012 0831 0011 -1529B Cooperativo Sicredi SA N 0048 0035 0066 0009 0879 0005 -2672B Cooperativo do Brasil SA N 0046 0034 0119 0017 0917 0006 -1439Banco Topazio SA N 0070 0031 0129 0036 0853 0005 -2776Banco Gerador SA N 0086 0057 0148 0034 0867 0007 -1825Banco Randon SA N 0126 0028 0331 0114 0799 0005 -4136Parana Banco SA N 0039 0023 0082 0015 0798 0008 -2556Banco Triangulo SA N 0052 0025 0116 0025 0840 0004 -4363Banco Guanabara SA N 0048 0021 0100 0019 0792 0004 -5683Banco Cedula SA N 0067 0013 0356 0067 0749 0002 -10205Banco Cacique SA N 0067 0026 0232 0073 0792 0015 -1356Banco Luso Brasileiro SA N 0065 0025 0237 0052 0864 0004 -3163Banco Pecunia SA N 0037 0029 0045 0006 0786 0003 -7158Banco Zogbi SA N 0037 0027 0045 0007 0785 0002 -13921Banco Daycoval SA N 0053 0020 0120 0031 0787 0003 -6088Banco John Deere SA N 0043 0017 0099 0022 0764 0003 -8346Banco AJ Renner SA N 0050 0025 0080 0013 0840 0006 -2706ABN Amro F 0043 0035 0067 0008 0894 0002 -6685Chase F 0059 0014 0189 0040 0803 0007 -2772LLoyds F 0039 0021 0055 0012 0824 0003 -5536BankBoston F 0044 0029 0075 0015 0890 0006 -1965Santander Brasil F 0054 0028 0107 0024 0871 0008 -1694Citibank F 0054 0023 0133 0026 0863 0003 -4787BNL F 0042 0028 0078 0018 0843 0005 -2998Sudameris F 0041 0036 0052 0006 0948 0010 -491Societe Generale F 0054 0020 0118 0025 0834 0006 -2716Europeu F 0038 0029 0049 0008 0856 0006 -2239ABC-Brasil F 0046 0028 0084 0014 0816 0003 -6111Dresdner F 0063 0015 0239 0061 0823 0005 -3888AGF Braseg F 0047 0027 0074 0014 0807 0004 -4477HSBC F 0054 0032 0109 0018 0950 0006 -823Deutsche F 0058 0013 0122 0028 0863 0004 -305BNP Paribas F 0051 0032 0070 0011 0822 0004 -4145Barclays F 0064 0024 0128 0029 0802 0005 -4051Rabobank Int Brasil SA F 0051 0019 0130 0021 0846 0003 -4992B Nat de Paris Brasil SA F 0043 0019 0070 0019 0819 0005 -3429Ibibank SA - Banco Multiplo F 0049 0010 0083 0020 0785 0013 -161Dresdner Bank - B Multiplo F 0087 0016 0261 0066 0783 0007 -2901Banco Westlb Do Brasil SA F 0051 0030 0082 0019 0850 0009 -1643Banco GE Capital SA F 0053 0028 0239 0044 0859 0009 -1544B Com Uruguai SA F 0071 0017 0217 0054 0845 0003 -48451S - State-owned bank N - National bank and F - Foreign bank

52

Seacuterie de Textos para Discussatildeo do Curso de Ciecircncias Econocircmicas ndash FACEUFG ndash TD [078]

EDITORIAL FACE ndash Faculdade de Administraccedilatildeo Ciecircncias Contaacutebeis e Ciecircncias Econocircmicas Curso de Ciecircncias Econocircmicas Direccedilatildeo FACE Prof Moiseacutes Ferreira da Cunha Vice-Direccedilatildeo FACE Profordf Andreacutea Freire de Lucena Coordenaccedilatildeo do Curso de Ciecircncias Econocircmicas Prof Tiago Camarinha Lopes NEPEC ndash Nuacutecleo de Estudos e Pesquisas Econocircmicas Coordenaccedilatildeo Prof Seacutergio Fornazier Meyrelles Filho SEacuteRIE DE TEXTOS PARA DISCUSSAtildeO DO CURSO DE CIEcircNCIAS ECONOcircMICAS DA UFG Coordenaccedilatildeo e Equipe de Editoraccedilatildeo Prof Sandro Eduardo Monsueto Adriana Moura Guimaratildees Matheus Henrique de Arauacutejo Dutra

Endereccedilo Campus Samambaia Preacutedio da FACE ndash Rodovia GoiacircniaNova Veneza km 0 ndash CEP 74690-900 Goiacircnia ndash GO Tel (62) 3521 ndash 1390 URL httpwwwfaceufgbreconomia Publicaccedilatildeo cujo objetivo eacute divulgar resultados de estudos que contam com a participaccedilatildeo de pesquisadores do NEPEC As opiniotildees contidas nesta publicaccedilatildeo satildeo de inteira responsabilidade do(s) autor(es) natildeo representando necessariamente o ponto de vista do NEPEC ou da FACEUFG Eacute permitida a reproduccedilatildeo desde que citada a fonte

Page 23: 1(3(& )$&( 8)* · The Dark Side of Prudential MeasuresI Paulo R. Scalco a, Benjamin M. Tabak1, Anderson M. Teixeira aFaculty of Management, Accounting and Economics, Federal University

Unfortunately since prudential variables represent only a measure of tightening or loos-

ening of prudential policy and not its magnitude we can not accurately assess the impact

of these variables on the mark-up The marginal effects represented in Figure 2 give us only

an idea of how such variables affected the estimated mark-ups

However in general we can say that the positive signs of the estimates mean that the

higher the tightness in these prudential policies the greater the mark-up and consequently

the higher the market power of the FIs Therefore we find a perverse effect on industry

competition and probably a loss of borrowers welfare

Our results are in accordance with the evidence that the increase in prudential rigor has

negative impacts mainly on the supply of credit (Lim et al 2011 Claessens 2015 Aiyar

et al 2014 Gropp et al 2018 Cerutti et al 2017a) Ceteris paribus the increase of IF

mark-ups would be a fully expected effect As highlighted by Claessens amp Laeven (2004) any

policy that restricts the activity of banks and hinders their operation has negative impacts

on market competition

52 Estimation of Lerner indices

Regarding the mark-up estimation the values reported at the bottom of Table 2 corre-

spond to the distance between the observed revenue-cost ratio and its competitive boundary

that is the component u

To interpret the mark-up however we will focus the discussion on the estimates of

Lerner index (equation 21) because they have a more unambiguous economic meaning We

summarize the results of Lerner index for general estimates by type of control and for each

model in Table 3 and the Figure 3 shows their frequency distributions We should emphasize

that these estimates are individuals that is we obtain the estimates for each IF and at each

period t The tables in Annex (A6 to A11) summarizes the estimates of the Lerner index

and the returns to scale for each IF in the sample

Table 3 Estimates of Lerner index general and by type of control

21

Figure 3 Frequency distribution of Lerner indexes for each model and density estimation

Kernel by typeof control

For all six models all mark-up estimates were within the theoretical range of 0 and 1

with the minimum value being 0009 (model 2) and the maximum value 0362 (model 3) In

general the estimated average value was between 0051 (model 2) and 0058 (models 1 and

5) which means that on average Brazilian banks have a mark-up between 51 and 58

These values are slightly different when we separate the estimates by type of control

In the case of state-owned banks the average mark-up was between 0047 (model 2)

and 0057 (model 1) These values are lower in all the estimated models to the values

of (privates) national banks (0052-0057) and foreign banks (0050-0061) However the

medians of estimated values for state-owned banks were higher than the national and foreign

private banks in all models

For comparison purposes these values are considerably lower than the value (016) esti-

mated for Brazil in Coccorese (2014) We believe that this difference is due to the model and

sample used Coccorese (2014) has estimated the dual version of model (equation 5) and

as highlighted by Kumbhakar et al (2012) the use of accounting information to calculate

input prices can generate problems when they are endogenous

Regarding the sample Coccorese (2014) also used a different period from ours (1994 to

2012) and a more significant number of IFs in the sample (189 against 83 used by us) The

main difference here is in the number of IF - 106 in total In this respect it is essential to

note that these FIs constitute small FIs and in the second half of 2014 they held only 37

of total SFN assets and 24 of the total credit portfolio

We tried to replicated the Coccoresersquo sample but in preliminary tests we have found great

difficulties in the models estimations in particular at convergence of likelihood function

We observed these small IFs had in several situations extremely high values for the revenue-

cost ratio or excessively low for the inputs used (personnel expenses and funding) as well

as other problems such as launch errors (positive values in variables of expenditure for

example) and missings For these reasons and considering that such IFs represented only a

22

small fraction of Brazilian credit market we decided to exclude them from the sample

However It is worth highlight as they are small FIs the vast majority operate in particular

segments of the credit market and probably assume a more risk-taking behavior Considering

that they will work with a segment of credit claimants with rdquoworse scoresrdquo than borrowers

using large FIs we expect that the mark-up of these IFs will be higher We can observe

(part of) this phenomenon in Figure 4 where we represent the estimates of the Lerner index

(vertical axis) against market share of total assets (horizontal axis) of our sample and it is

quite evident the smaller banks have the higher mark-ups Therefore as our sample exclude

a large proportion of these small IFs it is natural that Coccorese (2014)rsquo results larger than

ours

Figure 4 Lerner indexes according to the size (market share) of banksrsquo assets

Regardless of this our results seem to adhere well to reality because if we look at Figure

5 we note that the Lerner indices show a significant increase from the second semester of

2008 These results are in agreement with the results of Cubillas amp Suarez (2018) Besides

in Figure 6 Lerner indexes are separated by type of control and we can observe that with

some exceptions the market power has always been lower for state-owned banks especially

considering the period after the GFC

Figure 5 Average Lerner indices for each model between 2000q2 and 2014q4

Figure 6 Average Lerner indices estimated for public private national and private

foreign banks between2000q2 and 2014q4

23

53 Estimation of Returns to Scale

Finally Table 4 and Figure 7 summarize the estimates of returns to scale We highlight

that the average of the returns to the scale of the Brazilian FIs is very close if we comparer

the six estimated models (between 0848 and 0851) Although the values are close to unity

in all IFs we reject the hypotheses of constant returns to the scale that is RTS = 1 therefore

IFs have diseconomies of scale

Table 4 Estimates of returns to scale by control type and general

When we separate estimates by type of control the estimates of state-owned banks

(0937-0944) are higher than national (0824-0829) and foreign banks (0841-0844) This

result means that the scale problem is a problem common to all FIs in Brazil Moreover

state-owned banks runs closer to the constant return region than national and foreign banks

Figure 7 Frequency distribution of the returns to scale indexes for each model and

density estimationKernel by type of control

6 Final Considerations

Considering that the banking industry underwent a significant restructuring in recent

years caused by several mergers and acquisitions in the sector as well as by a severe financial

crisis started in mid 2007 and potentialized in 2008 understand the behavior of market

power and as a (partial) set of prudential instruments influencing this dynamic has become

paramount Thus in an innovative way this paper proposed the use of stochastic frontier

analysis techniques to measure market power for the Brazilian banking industry and to test

if such prudential measures had an impact on the competitive dynamics of sector

The estimated average Lerner index was between 51 and 58 for Brazilian FIs How-

ever when controlled by the type of control we find that state-owned banks have slightly

24

lower estimates than national and foreign banks respectively Also estimates of returns to

scale allow us to infer that FIs operate with diseconomies of scale

Concerning the impact of prudential measures on the market power of FIs our results

generally suggest that tightening of prudential measures have a positive impact on bank

mark-up and consequently have detrimental effects on competition in industry banking

Finally in future research it will be possible to better understand the influence of some

prudential measures in the banking market through the study by type of segment or line of

credit

25

References

Aiyar S Calomiris C W amp Wieladek T (2014) Does macro-prudential regulation leak ev-

idence from a uk policy experiment Journal of Money Credit and Banking 46 181ndash214

URL httpsonlinelibrarywileycomdoiabs101111jmcb12086 doi101111jmcb12086

arXivhttpsonlinelibrarywileycomdoipdf101111jmcb12086

Altunbas Y Binici M amp Gambacorta L (2018) Macroprudential policy and bank risk Journal of

International Money and Finance 81 203ndash220 doihttpsdoiorg101016jjimonfin201711

012

Araujo L A D d amp Jorge Neto P d M (2007) Risco e competicao bancaria no Brasil Revista Brasileira

de Economia 61 175ndash200 URL httpwwwscielobrscielophpscript=sci_abstractamppid=

S0034-71402007000200003amplng=enampnrm=isoamptlng=pt doi101590S0034-71402007000200003

Auer R amp Ongena S (2019) The countercyclical capital buffer and the composition of bank lending

Available at SSRN 3345189

Ayyagari M Beck T amp Peria M (2018) The micro impact of macroprudential policies Firm-level

evidence IMF Working Paper

Barbosa K de Paula Rocha B amp Salazar F (2015) Assessing competition in the banking indus-

try A multi-product approach Journal of Banking amp Finance 50 340ndash362 URL httpwww

sciencedirectcomsciencearticlepiiS0378426614001642 doi101016jjbankfin201405

003

Belaisch A (2003) Do Brazilian Banks Compete SSRN Scholarly Paper ID 879189 Social Science Research

Network Rochester NY URL httpspapersssrncomabstract=879189

Bikker J A Shaffer S amp Spierdijk L K (2012) Assessing competition with the panzar-rosse model

The role of scale costs and equilibrium Economics Letters 94 1025ndash1044

Bresnahan T F (1982) The oligopoly solution concept is identified Economics Letters 10 87ndash92 URL

httpdxdoiorg1010160165-1765(82)90121-5 doi1010160165-1765(82)90121-5

Bresnahan T F amp Reiss P (1991) Entry and competition in concentrated markets Journal of Political

Economy 99 977ndash1009

Camors C amp Peydro J (2014) Macroprudential and monetary policy Loan-level evidence from reserve

requirement Mimeo Universitat Pompeu Fabra URL httpspdfssemanticscholarorgd508

61639bb4e7453a7a39184edf9b0c1e7016a6pdf

Cardoso M Azevedo P F amp Barbosa K (2016) Concorrencia no setor bancario brasileiro bancos

individuais versus conglomerados bancarios (pp 113ndash146) URL httprepositorioipeagovbr

handle110586650

Cerutti E Claessens S amp Laeven L (2017a) The use and effectiveness of macroprudential policies New

26

evidence Journal of Financial Stability 28 203ndash224 doihttpsdoiorg101016jjfs201510

004

Cerutti E Correa R Fiorentino E amp Segalla E (2016) Changes in prudential policy instruments ndash a

new cross-country database IMF Working Paper WP1610

Cerutti E Dagher J amp DellrsquoAriccia G (2017b) Housing finance and real-estate booms A cross-country

perspective Journal of Housing Economics 38 1ndash13

Claessens S (2015) An overview of macroprudential policy tools Annual Re-

view of Financial Economics 7 397ndash422 URL httpsdoiorg101146

annurev-financial-111914-041807 doi101146annurev-financial-111914-041807

arXivhttpsdoiorg101146annurev-financial-111914-041807

Claessens S Ghosh S R amp Mihet R (2013) Macro-prudential policies to mitigate financial system

vulnerabilities Journal of International Money and Finance 39 153ndash185 doihttpsdoiorg10

1016jjimonfin201306023

Claessens S amp Laeven L (2004) What drives bank competition some international evidence Journal

of Money Credit and Banking 36 563ndash583 URL httpwwwjstororgstable3838954

Coccorese P (2014) Estimating the Lerner index for the banking industry a stochastic frontier approach

Applied Financial Economics 24 73ndash88 URL httpdxdoiorg101080096031072013866202

doi101080096031072013866202

Coelho C A De Mello J M amp Rezende L (2013) Do Public Banks Compete with Private

Banks Evidence from Concentrated Local Markets in Brazil Journal of Money Credit and Bank-

ing 45 1581ndash1615 URL httponlinelibrarywileycomdoi101111jmcb12063abstract

doi101111jmcb12063

Cubillas E amp Suarez N (2018) Bank market power and lending during the global financial crisis Jour-

nal of International Money and Finance 89 1ndash22 URL httpwwwsciencedirectcomscience

articlepiiS0261560618303048 doihttpsdoiorg101016jjimonfin201808003

Das A amp Kumbhakar S C (2016) Markup and efficiency of Indian banks an input distance func-

tion approach Empirical Economics (pp 1ndash31) URL httplinkspringercomarticle101007

s00181-015-1062-4 doi101007s00181-015-1062-4

Ely R Tabak B amp Teixeira A (2019) Heterogeneous effects of the implementation of macroprudential

policies on bank risk MPRA Paper No94546

Freixas X Laeven L amp Peydro J-L (2015) Systemic Risk Crises and Macroprudential Regulation

Mit Press URL httpwwwjstororgstablejctt17kk82g

Galati G amp Moessner R (2013) Macroprudential policy ndash a literature review Jour-

nal of Economic Surveys 27 846ndash878 URL httpsonlinelibrarywileycom

27

doiabs101111j1467-6419201200729x doi101111j1467-6419201200729x

arXivhttpsonlinelibrarywileycomdoipdf101111j1467-6419201200729x

Gropp R Mosk T Ongena S amp Wix C (2018) Banks Response to Higher Cap-

ital Requirements Evidence from a Quasi-Natural Experiment The Review of Finan-

cial Studies 32 266ndash299 URL httpsdoiorg101093rfshhy052 doi101093rfshhy052

arXivhttpoupprodsislanrfsarticle-pdf32126627185080hhy052pdf

Hyde C E amp Perloff J M (1995) Can market power be estimated Review of Industrial Organization 10

465ndash485 URL httplinkspringercomarticle101007BF01024231 doi101007BF01024231

Igan D amp Kang H (2011) Do loan-to-value and debt-to-income limits work evidence from korea IMF

Working Papers (pp 1ndash34)

Jimenez G Ongena S Peydro J-L amp Saurina J (2017) Macroprudential policy countercyclical bank

capital buffers and credit supply Evidence from the spanish dynamic provisioning experiments Journal

of Political Economy 125 2126ndash2177 URL httpsdoiorg101086694289 doi101086694289

arXivhttpsdoiorg101086694289

Jondrow J Knox Lovell C A Materov I S amp Schmidt P (1982) On the estimation of technical

inefficiency in the stochastic frontier production function model Journal of Econometrics 19 233ndash

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0304-4076(82)90004-5

Klingelhoger J amp Sun R (2019) Macruprudential policy central banks and financial stability Evidence

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jjimonfin201812015

Kumbhakar S C (2012) Specification and estimation of primal production models European Journal

of Operational Research 217 509ndash518 URL httpwwwsciencedirectcomsciencearticlepii

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Kumbhakar S C Baardsen S amp Lien G (2012) A New Method for Estimating Market Power with

an Application to Norwegian Sawmilling Review of Industrial Organization 40 109ndash129 URL http

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Lerner A P (1934) The Concept of Monopoly and the Measurement of Monopoly Power The Review

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2967480 doi1023072967480

Lim C H Costa A Columba F Kongsamut P Otani A Saiyid M Wezel T amp Wu X (2011)

Macroprudential policy what instruments and how to use them lessons from country experiences IMF

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Lopez R A He X amp Azzam A (2018) Stochastic frontier estimation of market

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power in the food industries Journal of Agricultural Economics 69 3ndash17 URL https

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Lucinda C R (2010) Competition in the Brazilian loan market an empirical analysis Estudos Economicos

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Moreno R (2011) Policymaking from arsquomacroprudentialrsquoperspective in emerging market economies

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Economics 42 33ndash52

29

Figure 1 Evolution of the Herfindahl Index (HHI) over time using credit and total assets for theBrazilian banking system

30

Figure 2 Marginal effects of HHI and prudential instruments (Capital Buffer Capital RequirementLTV Reserve Requirement (Foreign) Reserve Requirement (domestic) and cumulative prud) on the

mark-up u component

31

Figure 3 Frequency distribution of Lerner indexes for each model and density estimation Kernel by typeof control

32

Figure 4 Lerner indexes according to the size (market share) of banksrsquo assets

33

Figure 5 Average Lerner indices for each model between 2000q2 and 2014q4

34

Figure 6 Average Lerner indices estimated for public private national and private foreign banks between2000q2 and 2014q4

35

Figure 7 Frequency distribution of the returns to scale indexes for each model and density estimationKernel by type of control

36

Table 1 Variables used to IDF estimatation

Variabel Description SourceBasic variables

TR Total Revenue = Gross Insterest Income (a) + Bank-ing Service Fee Income (d1) + Banking Fee Income(d2) + Other Operating Income (d7)

Inc statIFData

TC Total Cost = Interest Expenses (b) + Personnel Ex-penses (d3) + Administrative Expenses (d4) + TaxExpenses (d5) + Other Operating Expenses (d8)

Inc statIFData

Y Loan Lease and Other Credit Operations by RiskLevel

SummaryIFData

x1 Personnel Expenses (d3) Inc statIFDatax2 Funding (e) LiabilitiesIFDatax3 Equity (j) LiabilitiesIFData

Model variabelslnRC Log of Revenue-Cost ratiolnY Log of total loanlnx1 Log of personnel expenses and equity ratio (x1x3)lnx2 Log of funding and equity ratio (x2x3)T Time

Prudential variables - Deterministic mark-up parametersHHIt HHIt =

sumS2it where Sit

2 is market share of totalasset of bank i on time t

Inc statIFData

cb cumulative change of capital buffer Cerutti et al (2016)cr cumulative change of capital requirement Cerutti et al (2016)ltv cumulative change of loan-to-value Cerutti et al (2016)

rr foreign cumulative change of reserve requirement (foreigncurrency)

Cerutti et al (2016)

rr local cumulative change of reserve requirement (domesticcurrency)

Cerutti et al (2016)

37

Table 2 Results of IDF estimation

Parameters VariablesEstimates

Model Model Model Model Model Model(1) (2) (3) (4) (5) (6)

Parametros da funcao insumo distanciaαY Y lnY -0013 -0003 -0004 -0012 -0011 -0005

(000) (000) (000) (000) (000) (000)α1Y lnx1 -0096 -0095 -0094 -0094 -0096 -0090

(001) (001) (001) (001) (001) (001)α2Y lnx2 -0019 -0022 -0022 -0019 -0020 -0021

(001) (001) (001) (001) (001) (001)αY T T -0000 -0000 -0000 -0000 -0000 -0000

(000) (000) (000) (000) (000) (000)αY const 1153 1010 1035 1134 1129 1057

(005) (007) (005) (005) (005) (006)

Deterministic Mark-up parametersδ1 HHI 764157

(12270)δ1 Capital

Buffer7586(065)

δ2 CapitalReq

4696(160)

δ1 Loan-to-value38511(671)

δ1 ResR(foreign)10730(433)

δ2 ResR(local)2869(126)

δ1 Cum Prud3237(020)

δ0 const minus10601minus10194minus5306 minus9866 minus8577 minus4993(032) (2064) (316) (079) (119) (122)

Distribution of u and vσ2u 2840 1418 1620 2643 2441 1593σ2v 0118 0121 0120 0118 0118 0120λ 2402 1172 1354 2233 2065 1325Log Lik 887404 922033 918606 896019 891991 907817

EstimatesEstimates of Mark-up (u)Avg 0075 0065 0068 0074 0075 00691st quartile 0052 0038 0051 0051 0051 0044Median 0062 0048 0060 0060 0061 00543st quartile 0080 0074 0079 0079 0079 0075std-dev 0053 0054 0053 0053 0054 0054

Note p lt 010 p lt 005 and p lt 001

38

Table 3 Estimates of Lerner index general and by type of control

EstimatesModel Model Model Model Model Model

(1) (2) (3) (4) (5) (6)Mark-up (L) generalAverage 0058 0051 0053 0057 0058 0053std-dev 0032 0034 0034 0032 0032 00331st quartile 0043 0031 0034 0041 0042 0036Median 0051 0039 0044 0050 0050 00453st quartile 0063 0060 0059 0063 0063 0060Mark-up (L) State-owned banksAverage 0057 0047 0049 0056 0056 0050std-dev 0018 0017 0017 0018 0016 00161st quartile 0047 0035 0038 0045 0046 0040Median 0054 0041 0046 0053 0053 00463st quartile 0064 0056 0056 0064 0063 0057Mark-up (L) National banksAverage 0057 0052 0054 0057 0057 0054std-dev 0034 0038 0038 0035 0035 00371st quartile 0041 0030 0033 0040 0041 0035Median 0050 0038 0043 0048 0049 00443st quartile 0061 0061 0060 0061 0062 0060Mark-up (L) Foreign banksAverage 0061 0050 0053 0059 0060 0054std-dev 0034 0033 0032 0034 0034 00321st quartile 0042 0031 0034 0041 0042 0036Median 0052 0040 0044 0051 0051 00453st quartile 0068 0059 0060 0066 0066 0061

Table 4 Estimates of returns to scale by control type and general

ModelState-owned

banksNational

banksForeignbanks

General std-dev Min Max

1 0944 0824 0842 0848 0073 0665 11242 0940 0829 0843 0851 0066 0690 10733 0938 0827 0842 0849 0066 0689 10764 0941 0824 0842 0848 0071 0671 11115 0942 0824 0841 0848 0072 0669 11136 0937 0829 0844 0850 0065 0692 1073

39

Appendix A Attachment Tables

Table A5 Cumulative change on Prudential Measures intensity

TimeCapitalBuffer 2

(cb)

CapitalReq(cr)

Loan-to-Value(ltv)

Reserve Reqlocal curr

(RR local)

Reserve Reqforeign cur

(RR foreign)

CumulativePrudential 3

(Cum Prud)2000q2 -1 0 0 0 -2 -32000q4 -1 0 0 0 -2 -32001q2 -1 0 0 0 -2 -32001q4 0 0 0 0 -1 -12002q2 0 0 0 0 0 02002q4 2 0 0 0 2 42003q2 0 0 0 0 3 32003q4 0 0 0 0 2 22004q2 0 0 0 0 2 22004q4 0 0 0 0 2 22005q2 0 0 0 0 2 22005q4 0 0 0 0 2 22006q2 0 0 0 0 2 22006q4 0 0 0 0 2 22007q2 2 0 0 0 2 42007q4 2 0 0 0 2 42008q2 2 0 0 0 2 42008q4 2 0 0 0 1 32009q2 2 0 0 0 0 22009q4 2 0 0 0 -1 12010q2 2 0 0 0 1 32010q4 3 0 0 0 3 62011q2 3 0 0 1 3 72011q4 4 0 0 2 3 92012q2 3 1 0 2 3 92012q4 3 1 0 1 2 72013q2 3 2 0 0 2 72013q4 3 2 1 0 2 82014q2 3 2 1 0 2 82014q4 2 2 1 0 3 82Sum of capital buffer and others 3Aggregate measure (It is the sum of the change of all other instrument)

40

Table A6 Estimates of Lerner index and return to scale by bank - Model (1)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0042 0082 0009 0940 0007 -85Banrisul S 0055 0041 0084 0009 0952 0008 -635BEC S 0048 0021 0077 0016 0844 0009 -1756BRB S 0058 0033 0100 0015 0961 0003 -1533BB S 0058 0039 0098 0012 0990 0006 -173Caixa Economica Federal S 0063 0051 0174 0022 1052 0004 1458B da Amazonia SA S 0057 0016 0124 0023 0844 0008 -2028B do Estado Do Para SA S 0061 0026 0110 0022 0936 0004 -1764B do Est do Maranhao SA S 0055 0046 0065 0006 0935 0014 -455B do Est do Piauı SA - Bep S 0057 0030 0155 0029 0862 0004 -326B do Estado De Sergipe SA S 0061 0024 0135 0022 0947 0004 -1453Nossa Caixa - N Banco SA S 0057 0036 0090 0013 0981 0004 -444Bradesco N 0056 0038 0114 0015 0925 0004 -1945Itau N 0059 0031 0220 0033 0901 0003 -3797Safra N 0053 0037 0085 0009 0885 0003 -4215Unibanco N 0055 0037 0088 0014 0897 0001 -7054Mercantil Do Brasil N 0057 0027 0077 0011 0945 0002 -2527BBM N 0076 0016 0300 0065 0783 0005 -4464BMC N 0052 0030 0079 0012 0845 0003 -4703BMG N 0065 0017 0208 0045 0779 0003 -729JMalucelli N 0047 0022 0069 0013 0718 0003 -8765PEBB N 0065 0017 0181 0047 0698 0008 -3914SS N 0057 0034 0220 0037 0799 0007 -2839Sofisa N 0054 0021 0092 0020 0804 0002 -9903BIC N 0060 0034 0236 0040 0855 0005 -276Schahin N 0056 0028 0214 0035 0835 0006 -262Stock N 0081 0020 0267 0067 0817 0006 -3107Pine N 0052 0022 0108 0019 0808 0004 -545Socopa N 0056 0027 0120 0017 0886 0003 -3806Intercap N 0060 0023 0212 0037 0812 0007 -2851Indusval N 0062 0030 0246 0043 0857 0005 -3139Bonsucesso N 0052 0020 0092 0018 0779 0005 -4033Industrial do Brasil N 0051 0031 0081 0016 0807 0002 -952Votorantim N 0052 0037 0107 0017 0819 0009 -2117Cacique N 0053 0024 0071 0014 0774 0005 -4621Inter Amex N 0055 0037 0068 0010 0837 0008 -2158Alfa N 0048 0041 0059 0005 0806 0002 -11303Rendimento N 0053 0022 0080 0012 0872 0008 -1562Bancoob N 0052 0046 0056 0003 0856 0003 -5061Original N 0085 0017 0279 0090 0729 0007 -4163Banco Intermedium SA N 0052 0028 0070 0015 0743 0006 -3973

Table A6 ndash Continue on next page

41

Table A6 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0225 0049 0761 0003 -7509Banco BBN SA N 0053 0027 0077 0014 0817 0012 -1509B Cooperativo Sicredi SA N 0052 0043 0062 0005 0875 0005 -2477B Cooperativo do Brasil SA N 0056 0046 0142 0020 0910 0006 -1479Banco Topazio SA N 0060 0035 0110 0027 0834 0006 -2966Banco Gerador SA N 0069 0045 0122 0028 0852 0008 -1968Banco Randon SA N 0109 0023 0320 0109 0783 0005 -4158Parana Banco SA N 0050 0026 0108 0020 0784 0008 -2799Banco Triangulo SA N 0055 0028 0091 0020 0833 0004 -4201Banco Guanabara SA N 0052 0024 0169 0025 0777 0004 -5588Banco Cedula SA N 0068 0012 0339 0061 0731 0003 -10236Banco Cacique SA N 0077 0028 0248 0077 0785 0016 -1309B Luso Brasileiro SA N 0065 0027 0208 0043 0849 0004 -349Banco Pecunia SA N 0047 0039 0060 0006 0770 0003 -7086Banco Zogbi SA N 0051 0038 0067 0011 0778 0001 -15193Banco Daycoval SA N 0054 0023 0131 0026 0783 0004 -5522B John Deere SA N 0059 0018 0133 0033 0756 0003 -7955Banco AJ Renner SA N 0053 0025 0081 0015 0827 0006 -2742ABN Amro F 0056 0039 0079 0014 0914 0002 -427Chase F 0068 0014 0228 0049 0790 0008 -2678LLoyds F 0053 0027 0064 0012 0825 0003 -5159BankBoston F 0057 0040 0099 0020 0902 0006 -1638Santander Brasil F 0057 0034 0097 0017 0890 0008 -146Citibank F 0059 0026 0153 0028 0875 0003 -4039BNL F 0055 0041 0097 0019 0840 0006 -2767Sudameris F 0056 0048 0065 0005 0966 0012 -297Societe Generale F 0060 0024 0153 0031 0826 0006 -299Europeu F 0054 0032 0073 0013 0848 0007 -2287ABC-Brasil F 0052 0025 0082 0014 0815 0003 -6207Dresdner F 0083 0017 0280 0074 0815 0006 -3234AGF Braseg F 0051 0031 0100 0016 0794 0004 -4923HSBC F 0057 0046 0092 0010 0971 0006 -466Deutsche F 0068 0013 0160 0036 0857 0004 -3335BNP Paribas F 0050 0037 0068 0007 0824 0005 -3665Barclays F 0052 0024 0089 0021 0771 0008 -2787Rabobank Int Brasil SA F 0058 0022 0166 0028 0842 0003 -5284B Nat de Paris Br SA F 0063 0023 0109 0033 0811 0006 -3331Ibibank SA - Banco Multiplo F 0059 0012 0106 0024 0781 0015 -1441Dresdner Bank - B Multiplo F 0086 0016 0244 0068 0768 0008 -2746Banco Westlb Do Brasil SA F 0064 0034 0108 0027 0839 0010 -1626Banco GE Capital SA F 0067 0032 0247 0047 0852 0010 -1527B Com Uruguai SA F 0072 0020 0192 0049 0830 0003 -52281S - State-owned bank N - National bank and F - Foreign bank

42

Table A7 Estimates of Lerner index and return to scale by bank - Model (2)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0049 0032 0085 0016 0944 0008 -716Banrisul S 0049 0032 0106 0017 0939 0008 -75BEC S 0032 0016 0046 0008 0860 0009 -1489BRB S 0049 0030 0112 0017 0961 0002 -1681BB S 0049 0032 0091 0016 0948 0006 -845Caixa Economica Federal S 0052 0034 0081 0014 1012 0003 382B da Amazonia SA S 0053 0015 0140 0028 0847 0008 -1922B do Estado Do Para SA S 0046 0029 0063 0009 0952 0005 -963B do Est do Maranhao SA S 0036 0029 0045 0005 0963 0016 -235B do Est do Piauı SA - Bep S 0036 0023 0071 0011 0888 0005 -2314B do Estado De Sergipe SA S 0050 0020 0155 0024 0962 0004 -1043Nossa Caixa - N Banco SA S 0039 0027 0074 0011 0972 0005 -601Bradesco N 0050 0028 0116 0023 0890 0004 -2618Itau N 0052 0024 0222 0037 0869 0003 -4269Safra N 0046 0028 0100 0017 0867 0003 -5042Unibanco N 0035 0028 0054 0007 0873 0001 -8511Mercantil Do Brasil N 0051 0029 0093 0019 0941 0002 -2837BBM N 0063 0012 0213 0048 0790 0005 -4494BMC N 0034 0023 0049 0007 0851 0003 -4266BMG N 0065 0015 0233 0057 0776 0004 -6135JMalucelli N 0052 0018 0080 0016 0720 0003 -9566PEBB N 0037 0014 0108 0025 0732 0009 -3086SS N 0056 0024 0236 0046 0797 0007 -2849Sofisa N 0052 0018 0107 0028 0808 0002 -8115BIC N 0057 0026 0259 0050 0850 0006 -2531Schahin N 0047 0022 0225 0041 0845 0007 -2359Stock N 0078 0017 0287 0071 0843 0006 -2782Pine N 0048 0018 0114 0023 0811 0004 -4973Socopa N 0050 0022 0136 0024 0908 0003 -3089Intercap N 0051 0019 0133 0031 0832 0006 -2759Indusval N 0061 0023 0267 0052 0866 0006 -2437Bonsucesso N 0050 0017 0109 0026 0791 0006 -3655Industrial do Brasil N 0044 0024 0079 0015 0816 0002 -8095Votorantim N 0048 0025 0120 0026 0807 0007 -2721Cacique N 0033 0020 0039 0006 0782 0005 -4597Inter Amex N 0035 0025 0045 0007 0844 0006 -2419Alfa N 0042 0029 0069 0013 0801 0002 -12139Rendimento N 0049 0019 0077 0015 0889 0008 -1394Bancoob N 0065 0057 0073 0006 0855 0003 -4199Original N 0099 0019 0299 0096 0732 0006 -4473Banco Intermedium SA N 0062 0032 0081 0019 0754 0006 -4393

Table A7 ndash Continue on next page

43

Table A7 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0059 0016 0239 0051 0778 0003 -6944Banco BBN SA N 0035 0020 0053 0009 0834 0011 -1466B Cooperativo Sicredi SA N 0045 0032 0070 0011 0881 0005 -2581B Cooperativo do Brasil SA N 0045 0029 0147 0025 0922 0006 -1274Banco Topazio SA N 0076 0043 0138 0038 0861 0005 -2569Banco Gerador SA N 0089 0054 0153 0037 0874 0008 -1645Banco Randon SA N 0122 0029 0335 0113 0803 0005 -388Parana Banco SA N 0033 0020 0062 0011 0800 0009 -234Banco Triangulo SA N 0052 0022 0105 0027 0841 0004 -4148Banco Guanabara SA N 0046 0019 0091 0020 0793 0004 -5561Banco Cedula SA N 0062 0011 0359 0067 0749 0003 -9911Banco Cacique SA N 0049 0020 0157 0048 0791 0016 -1315Banco Luso Brasileiro SA N 0066 0022 0241 0055 0870 0005 -2851Banco Pecunia SA N 0032 0027 0036 0003 0787 0003 -6876Banco Zogbi SA N 0032 0026 0037 0005 0784 0002 -13006Banco Daycoval SA N 0053 0019 0139 0036 0784 0004 -6065Banco John Deere SA N 0035 0016 0073 0016 0761 0003 -8278Banco AJ Renner SA N 0047 0021 0083 0015 0844 0006 -2553ABN Amro F 0035 0027 0047 0006 0889 0002 -7231Chase F 0054 0013 0157 0033 0804 0007 -2702LLoyds F 0033 0020 0043 0008 0821 0003 -5429BankBoston F 0036 0026 0060 0011 0888 0006 -1917Santander Brasil F 0055 0025 0115 0030 0864 0008 -1647Citibank F 0051 0020 0132 0025 0860 0003 -4735BNL F 0036 0026 0062 0012 0843 0005 -2959Sudameris F 0036 0031 0040 0004 0949 0011 -468Societe Generale F 0051 0018 0104 0024 0835 0007 -2454Europeu F 0034 0025 0041 0006 0859 0007 -2076ABC-Brasil F 0043 0026 0086 0015 0813 0003 -5797Dresdner F 0050 0014 0190 0046 0824 0004 -3975AGF Braseg F 0044 0024 0068 0014 0810 0005 -4109HSBC F 0052 0031 0110 0021 0948 0007 -776Deutsche F 0054 0012 0166 0030 0866 0005 -2754BNP Paribas F 0049 0028 0073 0013 0818 0004 -4092Barclays F 0065 0028 0121 0027 0811 0005 -4028Rabobank Int Brasil SA F 0047 0017 0102 0017 0845 0003 -4605B Nat de Paris Brasil SA F 0036 0017 0054 0013 0819 0005 -3304Ibibank SA - Banco Multiplo F 0043 0010 0114 0025 0782 0013 -1623Dresdner Bank - B Multiplo F 0096 0015 0270 0076 0785 0007 -2924Banco Westlb Do Brasil SA F 0041 0026 0062 0013 0853 0010 -154Banco GE Capital SA F 0054 0026 0253 0049 0862 0010 -1444B Com Uruguai SA F 0070 0017 0220 0058 0849 0003 -4471S - State-owned bank N - National bank and F - Foreign bank

44

Table A8 Estimates of Lerner index and return to scale by bank - Model (3)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0034 0090 0016 0941 0008 -772Banrisul S 0051 0032 0108 0016 0938 0008 -772BEC S 0035 0018 0051 0009 0856 0009 -1562BRB S 0052 0032 0122 0018 0958 0002 -1793BB S 0052 0035 0085 0015 0951 0006 -809Caixa Economica Federal S 0054 0039 0098 0014 1015 0003 465B da Amazonia SA S 0053 0014 0113 0024 0845 0008 -1977B do Estado Do Para SA S 0049 0028 0071 0010 0947 0005 -1117B do E do Maranhao SA S 0041 0032 0059 0008 0957 0015 -285B do E do Piauı SA - Bep S 0041 0028 0086 0014 0882 0005 -2518B do Estado De Sergipe SA S 0052 0021 0145 0022 0957 0004 -1182Nossa Caixa - N Banco SA S 0045 0029 0081 0015 0971 0005 -651Bradesco N 0052 0029 0101 0021 0893 0004 -2614Itau N 0054 0025 0203 0034 0872 0003 -4328Safra N 0048 0029 0093 0015 0869 0003 -5008Unibanco N 0041 0028 0067 0010 0874 0001 -8514Mercantil Do Brasil N 0053 0026 0095 0018 0939 0002 -29BBM N 0067 0013 0250 0056 0789 0005 -4501BMC N 0038 0024 0069 0010 0849 0003 -4408BMG N 0067 0015 0233 0058 0776 0004 -6374JMalucelli N 0052 0022 0087 0016 0720 0003 -9426PEBB N 0045 0014 0158 0040 0727 0009 -3192SS N 0057 0025 0231 0046 0797 0007 -287Sofisa N 0053 0018 0116 0026 0807 0002 -8444BIC N 0059 0030 0250 0049 0850 0006 -2596Schahin N 0048 0023 0220 0038 0842 0007 -2424Stock N 0083 0017 0304 0077 0838 0006 -2873Pine N 0049 0019 0105 0020 0810 0004 -5103Socopa N 0050 0026 0111 0018 0903 0003 -3253Intercap N 0055 0020 0196 0036 0828 0006 -283Indusval N 0062 0029 0282 0052 0863 0005 -2588Bonsucesso N 0051 0017 0118 0025 0789 0006 -3771Industrial do Brasil N 0046 0025 0086 0015 0815 0002 -8341Votorantim N 0050 0027 0128 0027 0809 0007 -2664Cacique N 0037 0020 0048 0009 0781 0005 -4645Inter Amex N 0039 0026 0058 0009 0842 0006 -2468Alfa N 0044 0031 0072 0011 0801 0002 -11998Rendimento N 0049 0022 0078 0011 0885 0008 -1463Bancoob N 0066 0057 0077 0007 0854 0003 -4342Original N 0102 0019 0301 0096 0730 0006 -4526Banco Intermedium SA N 0059 0027 0083 0020 0752 0006 -4354

Table A8 ndash Continue on next page

45

Table A8 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0017 0217 0054 0776 0003 -7084Banco BBN SA N 0038 0022 0058 0010 0831 0011 -1492B Cooperativo Sicredi SA N 0047 0035 0071 0010 0879 0005 -259B Cooperativo do Brasil SA N 0046 0035 0128 0020 0919 0006 -1339Banco Topazio SA N 0075 0036 0153 0041 0855 0005 -2657Banco Gerador SA N 0091 0057 0144 0034 0869 0008 -173Banco Randon SA N 0124 0029 0332 0112 0799 0005 -4023Parana Banco SA N 0036 0021 0071 0012 0797 0008 -2452Banco Triangulo SA N 0053 0023 0115 0027 0839 0004 -4256Banco Guanabara SA N 0047 0020 0100 0019 0790 0004 -561Banco Cedula SA N 0066 0012 0362 0068 0747 0003 -10082Banco Cacique SA N 0063 0026 0231 0074 0789 0016 -1336Banco Luso Brasileiro SA N 0066 0026 0249 0053 0865 0005 -2985Banco Pecunia SA N 0034 0029 0041 0004 0784 0003 -7038Banco Zogbi SA N 0036 0027 0046 0006 0782 0002 -13399Banco Daycoval SA N 0054 0019 0131 0034 0784 0004 -607Banco John Deere SA N 0039 0015 0083 0018 0761 0003 -8316Banco AJ Renner SA N 0049 0024 0073 0013 0840 0006 -2621ABN Amro F 0041 0030 0066 0009 0890 0002 -6866Chase F 0059 0013 0173 0039 0801 0007 -2733LLoyds F 0038 0021 0055 0010 0821 0003 -5484BankBoston F 0040 0028 0063 0012 0888 0006 -1931Santander Brasil F 0056 0028 0107 0027 0866 0008 -1663Citibank F 0052 0022 0123 0023 0860 0003 -4735BNL F 0039 0028 0063 0014 0841 0005 -2966Sudameris F 0041 0036 0052 0006 0948 0011 -473Societe Generale F 0052 0020 0103 0022 0833 0006 -2579Europeu F 0038 0030 0049 0007 0856 0007 -2153ABC-Brasil F 0046 0029 0079 0014 0813 0003 -5935Dresdner F 0055 0014 0212 0052 0822 0005 -3913AGF Braseg F 0046 0027 0071 0014 0806 0005 -4276HSBC F 0053 0032 0101 0019 0949 0007 -784Deutsche F 0058 0013 0141 0029 0863 0005 -2878BNP Paribas F 0051 0030 0074 0012 0818 0004 -4118Barclays F 0066 0025 0130 0030 0805 0005 -4123Rabobank Int Brasil SA F 0049 0019 0109 0018 0844 0003 -4752B Nat de Paris Brasil SA F 0041 0019 0069 0018 0817 0005 -3368Ibibank SA - Banco Multiplo F 0046 0010 0095 0021 0781 0014 -1617Dresdner Bank - B Multiplo F 0093 0017 0282 0072 0782 0008 -2899Banco Westlb Do Brasil SA F 0044 0027 0069 0015 0850 0009 -1591Banco GE Capital SA F 0055 0026 0249 0046 0859 0009 -1489B Com Uruguai SA F 0071 0017 0228 0056 0845 0003 -46241S - State-owned bank N - National bank and F - Foreign bank

46

Table A9 Estimates of Lerner index and return to scale by bank - Model (4)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0054 0041 0078 0011 0939 0007 -873Banrisul S 0055 0040 0106 0014 0948 0008 -692BEC S 0046 0020 0072 0014 0846 0009 -1746BRB S 0057 0032 0094 0016 0959 0002 -1673BB S 0057 0038 0095 0014 0981 0006 -33Caixa Economica Federal S 0061 0049 0165 0021 1042 0003 1249B da Amazonia SA S 0056 0015 0117 0022 0844 0008 -2047B do Estado Do Para SA S 0059 0025 0103 0020 0936 0004 -1701B do E Do Maranhao SA S 0052 0044 0062 0005 0936 0014 -448B do E Do Piauı SA - Bep S 0054 0029 0147 0028 0865 0004 -3201B do Estado De Sergipe SA S 0061 0023 0168 0026 0947 0004 -1484Nossa Caixa - N Banco SA S 0054 0035 0085 0012 0977 0004 -547Bradesco N 0056 0036 0107 0017 0919 0004 -2123Itau N 0058 0030 0212 0032 0896 0003 -3979Safra N 0052 0035 0107 0013 0882 0003 -445Unibanco N 0052 0035 0082 0013 0892 0001 -7446Mercantil Do Brasil N 0057 0027 0093 0015 0942 0002 -2687BBM N 0075 0015 0294 0064 0784 0005 -4512BMC N 0050 0029 0074 0011 0846 0003 -472BMG N 0065 0016 0202 0047 0779 0003 -7192JMalucelli N 0048 0022 0071 0014 0720 0003 -8923PEBB N 0061 0016 0172 0044 0704 0008 -382SS N 0056 0033 0213 0037 0799 0007 -2875Sofisa N 0053 0020 0087 0019 0805 0002 -9731BIC N 0061 0033 0269 0048 0854 0005 -2768Schahin N 0053 0027 0205 0034 0836 0006 -2627Stock N 0081 0020 0265 0068 0820 0006 -3122Pine N 0052 0022 0118 0021 0808 0004 -5467Socopa N 0054 0026 0114 0016 0888 0003 -3785Intercap N 0057 0023 0203 0035 0815 0006 -2877Indusval N 0062 0029 0239 0043 0857 0005 -3085Bonsucesso N 0052 0019 0088 0018 0782 0005 -403Industrial do Brasil N 0050 0030 0076 0015 0809 0002 -9427Votorantim N 0051 0036 0102 0017 0817 0008 -2222Cacique N 0050 0023 0067 0013 0776 0005 -4659Inter Amex N 0052 0035 0064 0009 0837 0007 -2226Alfa N 0048 0039 0071 0007 0805 0002 -11484Rendimento N 0052 0022 0076 0013 0874 0008 -1571Bancoob N 0057 0045 0071 0011 0855 0003 -5022Original N 0094 0017 0278 0090 0730 0006 -4242Banco Intermedium SA N 0049 0027 0065 0014 0746 0006 -4054

Table A9 ndash Continue on next page

47

Table A9 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0019 0220 0050 0764 0003 -7516Banco BBN SA N 0050 0027 0072 0013 0819 0012 -1529B Cooperativo Sicredi SA N 0051 0041 0068 0006 0875 0005 -2551B Cooperativo do Brasil SA N 0053 0044 0134 0018 0910 0006 -151Banco Topazio SA N 0066 0035 0128 0036 0837 0005 -2981Banco Gerador SA N 0082 0045 0157 0043 0854 0007 -1967Banco Randon SA N 0106 0026 0312 0105 0786 0005 -4204Parana Banco SA N 0048 0025 0102 0018 0787 0008 -2768Banco Triangulo SA N 0054 0027 0088 0021 0834 0004 -427Banco Guanabara SA N 0051 0023 0161 0025 0780 0004 -5659Banco Cedula SA N 0069 0012 0360 0065 0735 0003 -1028Banco Cacique SA N 0073 0027 0240 0075 0786 0016 -1327Banco Luso Brasileiro SA N 0065 0026 0242 0047 0852 0004 -346Banco Pecunia SA N 0045 0037 0056 0006 0773 0003 -7139Banco Zogbi SA N 0048 0036 0064 0010 0779 0001 -15057Banco Daycoval SA N 0055 0022 0126 0030 0784 0004 -568Banco John Deere SA N 0056 0018 0125 0031 0757 0003 -8084Banco AJ Renner SA N 0051 0025 0077 0013 0829 0006 -2763ABN Amro F 0053 0038 0074 0013 0909 0002 -4803Chase F 0066 0014 0220 0046 0793 0008 -2711LLoyds F 0050 0026 0060 0011 0825 0003 -5323BankBoston F 0054 0038 0092 0018 0899 0006 -1734Santander Brasil F 0056 0033 0098 0019 0885 0007 -1529Citibank F 0059 0025 0145 0030 0872 0003 -421BNL F 0052 0039 0091 0018 0840 0006 -2854Sudameris F 0053 0046 0062 0005 0961 0011 -352Societe Generale F 0058 0023 0144 0028 0827 0006 -2968Europeu F 0052 0031 0069 0012 0849 0007 -23ABC-Brasil F 0051 0028 0091 0015 0815 0003 -6225Dresdner F 0078 0017 0271 0071 0816 0005 -339AGF Braseg F 0050 0030 0094 0015 0797 0004 -4873HSBC F 0057 0045 0116 0016 0966 0006 -562Deutsche F 0066 0013 0151 0034 0858 0004 -3316BNP Paribas F 0050 0036 0071 0010 0823 0005 -3772Barclays F 0057 0024 0102 0025 0777 0007 -3003Rabobank Int Brasil SA F 0057 0021 0157 0026 0842 0003 -5266B Nat de Paris Brasil SA F 0059 0023 0102 0030 0812 0006 -3387Ibibank SA - Banco Multiplo F 0056 0012 0100 0023 0781 0015 -148Dresdner Bank - B Multiplo F 0084 0016 0237 0064 0771 0008 -2798Banco Westlb Do Brasil SA F 0061 0033 0101 0025 0841 0010 -1646Banco GE Capital SA F 0063 0031 0238 0044 0853 0010 -1548B Com Uruguai SA F 0074 0020 0226 0056 0833 0003 -51921S - State-owned bank N - National bank and F - Foreign bank

48

Table A10 Estimates of Lerner index and return to scale by bank - Model (5)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0043 0093 0012 0940 0007 -834Banrisul S 0054 0041 0083 0009 0949 0008 -668BEC S 0046 0020 0075 0014 0846 0009 -1719BRB S 0058 0032 0121 0017 0960 0002 -1607BB S 0056 0037 0087 0010 0981 0006 -321Caixa Economica Federal S 0061 0050 0156 0019 1044 0003 1282B da Amazonia SA S 0057 0016 0115 0023 0843 0008 -2023B do Estado Do Para SA S 0059 0027 0102 0020 0938 0004 -1608B do E Do Maranhao SA S 0052 0042 0064 0006 0939 0015 -418B do E Do Piauı SA - Bep S 0054 0029 0138 0025 0866 0004 -3097B do Estado De Sergipe SA S 0059 0024 0136 0020 0949 0004 -1404Nossa Caixa - N Banco SA S 0055 0036 0088 0013 0979 0004 -494Bradesco N 0056 0037 0108 0016 0918 0004 -2108Itau N 0058 0031 0213 0033 0894 0003 -3968Safra N 0052 0036 0086 0010 0881 0003 -4388Unibanco N 0053 0037 0085 0013 0892 0001 -7433Mercantil Do Brasil N 0057 0027 0086 0012 0943 0002 -2619BBM N 0075 0015 0292 0063 0784 0005 -447BMC N 0050 0029 0077 0012 0846 0003 -4648BMG N 0067 0017 0220 0051 0777 0003 -7116JMalucelli N 0049 0022 0083 0016 0718 0003 -8879PEBB N 0060 0017 0176 0044 0704 0008 -3743SS N 0059 0032 0223 0041 0798 0007 -2847Sofisa N 0055 0021 0112 0022 0804 0002 -9624BIC N 0060 0032 0238 0041 0853 0005 -2725Schahin N 0055 0028 0228 0038 0836 0006 -2575Stock N 0082 0019 0267 0068 0821 0006 -3063Pine N 0052 0022 0096 0018 0808 0004 -5392Socopa N 0055 0027 0113 0016 0889 0003 -3694Intercap N 0060 0023 0210 0037 0814 0006 -2856Indusval N 0062 0029 0245 0044 0857 0005 -3023Bonsucesso N 0053 0020 0113 0022 0781 0005 -3999Industrial do Brasil N 0051 0030 0084 0016 0808 0002 -9274Votorantim N 0052 0037 0130 0022 0816 0008 -2227Cacique N 0049 0024 0065 0012 0775 0005 -4632Inter Amex N 0052 0034 0067 0011 0837 0007 -2236Alfa N 0047 0041 0056 0004 0804 0002 -11448Rendimento N 0053 0022 0079 0011 0874 0008 -1549Bancoob N 0056 0050 0064 0005 0856 0003 -4874Original N 0087 0018 0288 0093 0728 0006 -4259Banco Intermedium SA N 0055 0027 0078 0019 0744 0006 -4047

Table A10 ndash Continue on next page

49

Table A10 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0217 0048 0763 0003 -7417Banco BBN SA N 0051 0026 0075 0014 0820 0012 -1504B Cooperativo Sicredi SA N 0051 0040 0061 0005 0876 0005 -2499B Cooperativo do Brasil SA N 0054 0043 0136 0019 0912 0006 -1445Banco Topazio SA N 0061 0034 0109 0026 0838 0006 -2897Banco Gerador SA N 0073 0052 0124 0026 0855 0008 -1918Banco Randon SA N 0120 0024 0327 0114 0785 0005 -4153Parana Banco SA N 0048 0026 0106 0020 0786 0008 -2732Banco Triangulo SA N 0055 0027 0111 0022 0834 0004 -4227Banco Guanabara SA N 0052 0024 0153 0024 0779 0004 -5589Banco Cedula SA N 0069 0012 0339 0062 0734 0003 -10232Banco Cacique SA N 0076 0027 0246 0076 0785 0016 -1317Banco Luso Brasileiro SA N 0067 0027 0207 0047 0852 0004 -3379Banco Pecunia SA N 0046 0038 0054 0006 0773 0003 -71Banco Zogbi SA N 0047 0037 0061 0010 0778 0001 -14931Banco Daycoval SA N 0054 0022 0126 0026 0782 0004 -5661Banco John Deere SA N 0056 0018 0129 0031 0756 0003 -8043Banco AJ Renner SA N 0053 0025 0080 0015 0829 0006 -2716ABN Amro F 0053 0038 0074 0012 0908 0002 -4751Chase F 0067 0014 0225 0047 0792 0008 -2693LLoyds F 0049 0025 0064 0012 0824 0003 -5227BankBoston F 0054 0037 0096 0020 0899 0006 -1701Santander Brasil F 0057 0033 0103 0019 0884 0008 -1511Citibank F 0059 0026 0154 0028 0871 0003 -4204BNL F 0052 0037 0097 0020 0840 0006 -28Sudameris F 0052 0045 0058 0005 0962 0011 -334Societe Generale F 0060 0023 0151 0031 0827 0006 -2924Europeu F 0050 0032 0066 0012 0849 0007 -2263ABC-Brasil F 0051 0025 0079 0014 0814 0003 -617Dresdner F 0080 0017 0276 0073 0816 0005 -3374AGF Braseg F 0050 0031 0093 0015 0796 0004 -4812HSBC F 0057 0043 0093 0011 0966 0006 -541Deutsche F 0066 0013 0155 0035 0858 0004 -3244BNP Paribas F 0050 0035 0067 0008 0822 0005 -3775Barclays F 0056 0024 0113 0025 0778 0007 -305Rabobank Int Brasil SA F 0057 0021 0163 0027 0842 0003 -5208B Nat de Paris Brasil SA F 0058 0022 0100 0029 0812 0006 -3343Ibibank SA - Banco Multiplo F 0057 0012 0099 0023 0780 0015 -1478Dresdner Bank - B Multiplo F 0087 0016 0244 0068 0770 0008 -2768Banco Westlb Do Brasil SA F 0063 0034 0106 0026 0841 0010 -1625Banco GE Capital SA F 0064 0032 0247 0046 0853 0010 -1522B Com Uruguai SA F 0073 0019 0191 0049 0833 0003 -50981S - State-owned bank N - National bank and F - Foreign bank

50

Table A11 Estimates of Lerner index and return to scale by bank - Model (6)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0036 0096 0015 0939 0007 -855Banrisul S 0050 0035 0098 0014 0938 0008 -82BEC S 0041 0019 0067 0012 0855 0009 -1644BRB S 0053 0029 0124 0018 0956 0002 -1996BB S 0051 0032 0088 0013 0954 0006 -807Caixa Economica Federal S 0054 0040 0094 0012 1014 0003 475B da Amazonia SA S 0053 0015 0103 0022 0846 0008 -205B do Estado Do Para SA S 0051 0028 0074 0013 0943 0004 -1319B do E Do Maranhao SA S 0041 0031 0059 0008 0950 0014 -346B do E Do Piauı SA - Bep S 0042 0028 0084 0012 0879 0004 -2727B do Estado De Sergipe SA S 0052 0022 0153 0022 0953 0003 -1377Nossa Caixa - N Banco SA S 0047 0032 0081 0014 0969 0004 -74Bradesco N 0052 0032 0097 0019 0898 0004 -2645Itau N 0054 0027 0190 0031 0877 0003 -4452Safra N 0049 0032 0100 0015 0872 0003 -5056Unibanco N 0043 0032 0067 0010 0878 0001 -8666Mercantil Do Brasil N 0053 0026 0087 0017 0938 0002 -3104BBM N 0066 0013 0251 0056 0792 0005 -4556BMC N 0041 0026 0069 0011 0850 0003 -4582BMG N 0067 0016 0228 0057 0781 0003 -6611JMalucelli N 0051 0022 0089 0017 0725 0003 -9344PEBB N 0046 0015 0157 0039 0728 0008 -3313SS N 0058 0025 0230 0046 0801 0007 -292Sofisa N 0053 0020 0119 0025 0809 0002 -8846BIC N 0060 0029 0262 0049 0852 0005 -2697Schahin N 0049 0025 0229 0040 0843 0006 -2523Stock N 0081 0017 0284 0072 0836 0005 -2986Pine N 0049 0021 0112 0019 0812 0004 -5267Socopa N 0050 0026 0095 0015 0900 0003 -3515Intercap N 0055 0021 0196 0035 0828 0006 -2899Indusval N 0061 0029 0262 0049 0863 0005 -2762Bonsucesso N 0052 0019 0123 0026 0791 0005 -3885Industrial do Brasil N 0046 0027 0088 0015 0816 0002 -8698Votorantim N 0051 0027 0139 0027 0813 0007 -262Cacique N 0039 0022 0050 0009 0784 0005 -4707Inter Amex N 0045 0027 0064 0012 0843 0006 -2493Alfa N 0044 0033 0068 0009 0805 0002 -12111Rendimento N 0050 0022 0073 0010 0883 0008 -1543Bancoob N 0066 0055 0072 0007 0856 0003 -4559Original N 0098 0020 0294 0094 0735 0006 -4509Banco Intermedium SA N 0057 0024 0085 0022 0756 0006 -4324

Table A11 ndash Continue on next page

51

Table A11 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0061 0017 0195 0048 0777 0003 -7233Banco BBN SA N 0042 0023 0059 0012 0831 0011 -1529B Cooperativo Sicredi SA N 0048 0035 0066 0009 0879 0005 -2672B Cooperativo do Brasil SA N 0046 0034 0119 0017 0917 0006 -1439Banco Topazio SA N 0070 0031 0129 0036 0853 0005 -2776Banco Gerador SA N 0086 0057 0148 0034 0867 0007 -1825Banco Randon SA N 0126 0028 0331 0114 0799 0005 -4136Parana Banco SA N 0039 0023 0082 0015 0798 0008 -2556Banco Triangulo SA N 0052 0025 0116 0025 0840 0004 -4363Banco Guanabara SA N 0048 0021 0100 0019 0792 0004 -5683Banco Cedula SA N 0067 0013 0356 0067 0749 0002 -10205Banco Cacique SA N 0067 0026 0232 0073 0792 0015 -1356Banco Luso Brasileiro SA N 0065 0025 0237 0052 0864 0004 -3163Banco Pecunia SA N 0037 0029 0045 0006 0786 0003 -7158Banco Zogbi SA N 0037 0027 0045 0007 0785 0002 -13921Banco Daycoval SA N 0053 0020 0120 0031 0787 0003 -6088Banco John Deere SA N 0043 0017 0099 0022 0764 0003 -8346Banco AJ Renner SA N 0050 0025 0080 0013 0840 0006 -2706ABN Amro F 0043 0035 0067 0008 0894 0002 -6685Chase F 0059 0014 0189 0040 0803 0007 -2772LLoyds F 0039 0021 0055 0012 0824 0003 -5536BankBoston F 0044 0029 0075 0015 0890 0006 -1965Santander Brasil F 0054 0028 0107 0024 0871 0008 -1694Citibank F 0054 0023 0133 0026 0863 0003 -4787BNL F 0042 0028 0078 0018 0843 0005 -2998Sudameris F 0041 0036 0052 0006 0948 0010 -491Societe Generale F 0054 0020 0118 0025 0834 0006 -2716Europeu F 0038 0029 0049 0008 0856 0006 -2239ABC-Brasil F 0046 0028 0084 0014 0816 0003 -6111Dresdner F 0063 0015 0239 0061 0823 0005 -3888AGF Braseg F 0047 0027 0074 0014 0807 0004 -4477HSBC F 0054 0032 0109 0018 0950 0006 -823Deutsche F 0058 0013 0122 0028 0863 0004 -305BNP Paribas F 0051 0032 0070 0011 0822 0004 -4145Barclays F 0064 0024 0128 0029 0802 0005 -4051Rabobank Int Brasil SA F 0051 0019 0130 0021 0846 0003 -4992B Nat de Paris Brasil SA F 0043 0019 0070 0019 0819 0005 -3429Ibibank SA - Banco Multiplo F 0049 0010 0083 0020 0785 0013 -161Dresdner Bank - B Multiplo F 0087 0016 0261 0066 0783 0007 -2901Banco Westlb Do Brasil SA F 0051 0030 0082 0019 0850 0009 -1643Banco GE Capital SA F 0053 0028 0239 0044 0859 0009 -1544B Com Uruguai SA F 0071 0017 0217 0054 0845 0003 -48451S - State-owned bank N - National bank and F - Foreign bank

52

Seacuterie de Textos para Discussatildeo do Curso de Ciecircncias Econocircmicas ndash FACEUFG ndash TD [078]

EDITORIAL FACE ndash Faculdade de Administraccedilatildeo Ciecircncias Contaacutebeis e Ciecircncias Econocircmicas Curso de Ciecircncias Econocircmicas Direccedilatildeo FACE Prof Moiseacutes Ferreira da Cunha Vice-Direccedilatildeo FACE Profordf Andreacutea Freire de Lucena Coordenaccedilatildeo do Curso de Ciecircncias Econocircmicas Prof Tiago Camarinha Lopes NEPEC ndash Nuacutecleo de Estudos e Pesquisas Econocircmicas Coordenaccedilatildeo Prof Seacutergio Fornazier Meyrelles Filho SEacuteRIE DE TEXTOS PARA DISCUSSAtildeO DO CURSO DE CIEcircNCIAS ECONOcircMICAS DA UFG Coordenaccedilatildeo e Equipe de Editoraccedilatildeo Prof Sandro Eduardo Monsueto Adriana Moura Guimaratildees Matheus Henrique de Arauacutejo Dutra

Endereccedilo Campus Samambaia Preacutedio da FACE ndash Rodovia GoiacircniaNova Veneza km 0 ndash CEP 74690-900 Goiacircnia ndash GO Tel (62) 3521 ndash 1390 URL httpwwwfaceufgbreconomia Publicaccedilatildeo cujo objetivo eacute divulgar resultados de estudos que contam com a participaccedilatildeo de pesquisadores do NEPEC As opiniotildees contidas nesta publicaccedilatildeo satildeo de inteira responsabilidade do(s) autor(es) natildeo representando necessariamente o ponto de vista do NEPEC ou da FACEUFG Eacute permitida a reproduccedilatildeo desde que citada a fonte

Page 24: 1(3(& )$&( 8)* · The Dark Side of Prudential MeasuresI Paulo R. Scalco a, Benjamin M. Tabak1, Anderson M. Teixeira aFaculty of Management, Accounting and Economics, Federal University

Figure 3 Frequency distribution of Lerner indexes for each model and density estimation

Kernel by typeof control

For all six models all mark-up estimates were within the theoretical range of 0 and 1

with the minimum value being 0009 (model 2) and the maximum value 0362 (model 3) In

general the estimated average value was between 0051 (model 2) and 0058 (models 1 and

5) which means that on average Brazilian banks have a mark-up between 51 and 58

These values are slightly different when we separate the estimates by type of control

In the case of state-owned banks the average mark-up was between 0047 (model 2)

and 0057 (model 1) These values are lower in all the estimated models to the values

of (privates) national banks (0052-0057) and foreign banks (0050-0061) However the

medians of estimated values for state-owned banks were higher than the national and foreign

private banks in all models

For comparison purposes these values are considerably lower than the value (016) esti-

mated for Brazil in Coccorese (2014) We believe that this difference is due to the model and

sample used Coccorese (2014) has estimated the dual version of model (equation 5) and

as highlighted by Kumbhakar et al (2012) the use of accounting information to calculate

input prices can generate problems when they are endogenous

Regarding the sample Coccorese (2014) also used a different period from ours (1994 to

2012) and a more significant number of IFs in the sample (189 against 83 used by us) The

main difference here is in the number of IF - 106 in total In this respect it is essential to

note that these FIs constitute small FIs and in the second half of 2014 they held only 37

of total SFN assets and 24 of the total credit portfolio

We tried to replicated the Coccoresersquo sample but in preliminary tests we have found great

difficulties in the models estimations in particular at convergence of likelihood function

We observed these small IFs had in several situations extremely high values for the revenue-

cost ratio or excessively low for the inputs used (personnel expenses and funding) as well

as other problems such as launch errors (positive values in variables of expenditure for

example) and missings For these reasons and considering that such IFs represented only a

22

small fraction of Brazilian credit market we decided to exclude them from the sample

However It is worth highlight as they are small FIs the vast majority operate in particular

segments of the credit market and probably assume a more risk-taking behavior Considering

that they will work with a segment of credit claimants with rdquoworse scoresrdquo than borrowers

using large FIs we expect that the mark-up of these IFs will be higher We can observe

(part of) this phenomenon in Figure 4 where we represent the estimates of the Lerner index

(vertical axis) against market share of total assets (horizontal axis) of our sample and it is

quite evident the smaller banks have the higher mark-ups Therefore as our sample exclude

a large proportion of these small IFs it is natural that Coccorese (2014)rsquo results larger than

ours

Figure 4 Lerner indexes according to the size (market share) of banksrsquo assets

Regardless of this our results seem to adhere well to reality because if we look at Figure

5 we note that the Lerner indices show a significant increase from the second semester of

2008 These results are in agreement with the results of Cubillas amp Suarez (2018) Besides

in Figure 6 Lerner indexes are separated by type of control and we can observe that with

some exceptions the market power has always been lower for state-owned banks especially

considering the period after the GFC

Figure 5 Average Lerner indices for each model between 2000q2 and 2014q4

Figure 6 Average Lerner indices estimated for public private national and private

foreign banks between2000q2 and 2014q4

23

53 Estimation of Returns to Scale

Finally Table 4 and Figure 7 summarize the estimates of returns to scale We highlight

that the average of the returns to the scale of the Brazilian FIs is very close if we comparer

the six estimated models (between 0848 and 0851) Although the values are close to unity

in all IFs we reject the hypotheses of constant returns to the scale that is RTS = 1 therefore

IFs have diseconomies of scale

Table 4 Estimates of returns to scale by control type and general

When we separate estimates by type of control the estimates of state-owned banks

(0937-0944) are higher than national (0824-0829) and foreign banks (0841-0844) This

result means that the scale problem is a problem common to all FIs in Brazil Moreover

state-owned banks runs closer to the constant return region than national and foreign banks

Figure 7 Frequency distribution of the returns to scale indexes for each model and

density estimationKernel by type of control

6 Final Considerations

Considering that the banking industry underwent a significant restructuring in recent

years caused by several mergers and acquisitions in the sector as well as by a severe financial

crisis started in mid 2007 and potentialized in 2008 understand the behavior of market

power and as a (partial) set of prudential instruments influencing this dynamic has become

paramount Thus in an innovative way this paper proposed the use of stochastic frontier

analysis techniques to measure market power for the Brazilian banking industry and to test

if such prudential measures had an impact on the competitive dynamics of sector

The estimated average Lerner index was between 51 and 58 for Brazilian FIs How-

ever when controlled by the type of control we find that state-owned banks have slightly

24

lower estimates than national and foreign banks respectively Also estimates of returns to

scale allow us to infer that FIs operate with diseconomies of scale

Concerning the impact of prudential measures on the market power of FIs our results

generally suggest that tightening of prudential measures have a positive impact on bank

mark-up and consequently have detrimental effects on competition in industry banking

Finally in future research it will be possible to better understand the influence of some

prudential measures in the banking market through the study by type of segment or line of

credit

25

References

Aiyar S Calomiris C W amp Wieladek T (2014) Does macro-prudential regulation leak ev-

idence from a uk policy experiment Journal of Money Credit and Banking 46 181ndash214

URL httpsonlinelibrarywileycomdoiabs101111jmcb12086 doi101111jmcb12086

arXivhttpsonlinelibrarywileycomdoipdf101111jmcb12086

Altunbas Y Binici M amp Gambacorta L (2018) Macroprudential policy and bank risk Journal of

International Money and Finance 81 203ndash220 doihttpsdoiorg101016jjimonfin201711

012

Araujo L A D d amp Jorge Neto P d M (2007) Risco e competicao bancaria no Brasil Revista Brasileira

de Economia 61 175ndash200 URL httpwwwscielobrscielophpscript=sci_abstractamppid=

S0034-71402007000200003amplng=enampnrm=isoamptlng=pt doi101590S0034-71402007000200003

Auer R amp Ongena S (2019) The countercyclical capital buffer and the composition of bank lending

Available at SSRN 3345189

Ayyagari M Beck T amp Peria M (2018) The micro impact of macroprudential policies Firm-level

evidence IMF Working Paper

Barbosa K de Paula Rocha B amp Salazar F (2015) Assessing competition in the banking indus-

try A multi-product approach Journal of Banking amp Finance 50 340ndash362 URL httpwww

sciencedirectcomsciencearticlepiiS0378426614001642 doi101016jjbankfin201405

003

Belaisch A (2003) Do Brazilian Banks Compete SSRN Scholarly Paper ID 879189 Social Science Research

Network Rochester NY URL httpspapersssrncomabstract=879189

Bikker J A Shaffer S amp Spierdijk L K (2012) Assessing competition with the panzar-rosse model

The role of scale costs and equilibrium Economics Letters 94 1025ndash1044

Bresnahan T F (1982) The oligopoly solution concept is identified Economics Letters 10 87ndash92 URL

httpdxdoiorg1010160165-1765(82)90121-5 doi1010160165-1765(82)90121-5

Bresnahan T F amp Reiss P (1991) Entry and competition in concentrated markets Journal of Political

Economy 99 977ndash1009

Camors C amp Peydro J (2014) Macroprudential and monetary policy Loan-level evidence from reserve

requirement Mimeo Universitat Pompeu Fabra URL httpspdfssemanticscholarorgd508

61639bb4e7453a7a39184edf9b0c1e7016a6pdf

Cardoso M Azevedo P F amp Barbosa K (2016) Concorrencia no setor bancario brasileiro bancos

individuais versus conglomerados bancarios (pp 113ndash146) URL httprepositorioipeagovbr

handle110586650

Cerutti E Claessens S amp Laeven L (2017a) The use and effectiveness of macroprudential policies New

26

evidence Journal of Financial Stability 28 203ndash224 doihttpsdoiorg101016jjfs201510

004

Cerutti E Correa R Fiorentino E amp Segalla E (2016) Changes in prudential policy instruments ndash a

new cross-country database IMF Working Paper WP1610

Cerutti E Dagher J amp DellrsquoAriccia G (2017b) Housing finance and real-estate booms A cross-country

perspective Journal of Housing Economics 38 1ndash13

Claessens S (2015) An overview of macroprudential policy tools Annual Re-

view of Financial Economics 7 397ndash422 URL httpsdoiorg101146

annurev-financial-111914-041807 doi101146annurev-financial-111914-041807

arXivhttpsdoiorg101146annurev-financial-111914-041807

Claessens S Ghosh S R amp Mihet R (2013) Macro-prudential policies to mitigate financial system

vulnerabilities Journal of International Money and Finance 39 153ndash185 doihttpsdoiorg10

1016jjimonfin201306023

Claessens S amp Laeven L (2004) What drives bank competition some international evidence Journal

of Money Credit and Banking 36 563ndash583 URL httpwwwjstororgstable3838954

Coccorese P (2014) Estimating the Lerner index for the banking industry a stochastic frontier approach

Applied Financial Economics 24 73ndash88 URL httpdxdoiorg101080096031072013866202

doi101080096031072013866202

Coelho C A De Mello J M amp Rezende L (2013) Do Public Banks Compete with Private

Banks Evidence from Concentrated Local Markets in Brazil Journal of Money Credit and Bank-

ing 45 1581ndash1615 URL httponlinelibrarywileycomdoi101111jmcb12063abstract

doi101111jmcb12063

Cubillas E amp Suarez N (2018) Bank market power and lending during the global financial crisis Jour-

nal of International Money and Finance 89 1ndash22 URL httpwwwsciencedirectcomscience

articlepiiS0261560618303048 doihttpsdoiorg101016jjimonfin201808003

Das A amp Kumbhakar S C (2016) Markup and efficiency of Indian banks an input distance func-

tion approach Empirical Economics (pp 1ndash31) URL httplinkspringercomarticle101007

s00181-015-1062-4 doi101007s00181-015-1062-4

Ely R Tabak B amp Teixeira A (2019) Heterogeneous effects of the implementation of macroprudential

policies on bank risk MPRA Paper No94546

Freixas X Laeven L amp Peydro J-L (2015) Systemic Risk Crises and Macroprudential Regulation

Mit Press URL httpwwwjstororgstablejctt17kk82g

Galati G amp Moessner R (2013) Macroprudential policy ndash a literature review Jour-

nal of Economic Surveys 27 846ndash878 URL httpsonlinelibrarywileycom

27

doiabs101111j1467-6419201200729x doi101111j1467-6419201200729x

arXivhttpsonlinelibrarywileycomdoipdf101111j1467-6419201200729x

Gropp R Mosk T Ongena S amp Wix C (2018) Banks Response to Higher Cap-

ital Requirements Evidence from a Quasi-Natural Experiment The Review of Finan-

cial Studies 32 266ndash299 URL httpsdoiorg101093rfshhy052 doi101093rfshhy052

arXivhttpoupprodsislanrfsarticle-pdf32126627185080hhy052pdf

Hyde C E amp Perloff J M (1995) Can market power be estimated Review of Industrial Organization 10

465ndash485 URL httplinkspringercomarticle101007BF01024231 doi101007BF01024231

Igan D amp Kang H (2011) Do loan-to-value and debt-to-income limits work evidence from korea IMF

Working Papers (pp 1ndash34)

Jimenez G Ongena S Peydro J-L amp Saurina J (2017) Macroprudential policy countercyclical bank

capital buffers and credit supply Evidence from the spanish dynamic provisioning experiments Journal

of Political Economy 125 2126ndash2177 URL httpsdoiorg101086694289 doi101086694289

arXivhttpsdoiorg101086694289

Jondrow J Knox Lovell C A Materov I S amp Schmidt P (1982) On the estimation of technical

inefficiency in the stochastic frontier production function model Journal of Econometrics 19 233ndash

238 URL httpwwwsciencedirectcomsciencearticlepii0304407682900045 doi101016

0304-4076(82)90004-5

Klingelhoger J amp Sun R (2019) Macruprudential policy central banks and financial stability Evidence

from china Journal of International Money and Finance 93 19ndash41 URL httpsdoiorg101016

jjimonfin201812015

Kumbhakar S C (2012) Specification and estimation of primal production models European Journal

of Operational Research 217 509ndash518 URL httpwwwsciencedirectcomsciencearticlepii

S0377221711008939 doi101016jejor201109043

Kumbhakar S C Baardsen S amp Lien G (2012) A New Method for Estimating Market Power with

an Application to Norwegian Sawmilling Review of Industrial Organization 40 109ndash129 URL http

linkspringercomarticle101007s11151-012-9339-7 doi101007s11151-012-9339-7

Lerner A P (1934) The Concept of Monopoly and the Measurement of Monopoly Power The Review

of Economic Studies 1 157ndash175 URL httprestudoxfordjournalsorglookupdoi102307

2967480 doi1023072967480

Lim C H Costa A Columba F Kongsamut P Otani A Saiyid M Wezel T amp Wu X (2011)

Macroprudential policy what instruments and how to use them lessons from country experiences IMF

working papers (pp 1ndash85)

Lopez R A He X amp Azzam A (2018) Stochastic frontier estimation of market

28

power in the food industries Journal of Agricultural Economics 69 3ndash17 URL https

onlinelibrarywileycomdoiabs1011111477-955212219 doi1011111477-955212219

arXivhttpsonlinelibrarywileycomdoipdf1011111477-955212219

Lucinda C R (2010) Competition in the Brazilian loan market an empirical analysis Estudos Economicos

(Sao Paulo) 40 831ndash858 URL httpwwwscielobrscielophpscript=sci_abstractamppid=

S0101-41612010000400004amplng=enampnrm=isoamptlng=en doi101590S0101-41612010000400004

Moreno R (2011) Policymaking from arsquomacroprudentialrsquoperspective in emerging market economies

Nakane M I (2002) A test of competition in brazilian banking Estudos Economicos (Sao Paulo) 32

203ndash224 URL httpwwwrevistasuspbreearticleview117799

Panzar J C amp Rosse J N (1987) Testing for rdquomonopolyrdquo equilibrium The Journal of Industrial

Economics 35 443ndash456 URL httpwwwjstororgstable2098582 doi1023072098582

Richter B Schularick M amp Shim I (2019) The costs of macroprudential policy Journal of Inter-

national Economics 118 263 ndash 282 URL httpwwwsciencedirectcomsciencearticlepii

S0022199618302617 doihttpsdoiorg101016jjinteco201811011

Schmalensee R (1989) Chapter 16 inter-industry studies of structure and performance In Hand-

book of Industrial Organization (pp 951ndash1009) Elsevier BV URL httpdxdoiorg101016

s1573-448x(89)02004-2 doi101016s1573-448x(89)02004-2

Silva M S d () Avaliacao do processo de concentracao-competicao no setor bancario brasileiro URL

httpwwwbcbgovbrpecwpsporttd377pdf

Tabak B amp Gomes G (2015) The impact of market power at bank level in risk-taking The brazilian

case International Review of Financial Analysis 40 154ndash165

Tabak B M Fazio D M amp Cajueiro D O (2012) The relationship between banking market competition

and risk-taking Do size and capitalization matter 36 3366ndash3381 URL httpwwwsciencedirect

comsciencearticlepiiS0378426612002026 doi101016jjbankfin201207022

Wong T Fong T Li K-f amp Choi H (2011) Loan-to-value ratio as a macroprudential tool-hong kongrsquos

experience and cross-country evidence

Zhang L amp Zoli E (2016) Leaning against the wind Macroprudential policy in asia Journal of Asian

Economics 42 33ndash52

29

Figure 1 Evolution of the Herfindahl Index (HHI) over time using credit and total assets for theBrazilian banking system

30

Figure 2 Marginal effects of HHI and prudential instruments (Capital Buffer Capital RequirementLTV Reserve Requirement (Foreign) Reserve Requirement (domestic) and cumulative prud) on the

mark-up u component

31

Figure 3 Frequency distribution of Lerner indexes for each model and density estimation Kernel by typeof control

32

Figure 4 Lerner indexes according to the size (market share) of banksrsquo assets

33

Figure 5 Average Lerner indices for each model between 2000q2 and 2014q4

34

Figure 6 Average Lerner indices estimated for public private national and private foreign banks between2000q2 and 2014q4

35

Figure 7 Frequency distribution of the returns to scale indexes for each model and density estimationKernel by type of control

36

Table 1 Variables used to IDF estimatation

Variabel Description SourceBasic variables

TR Total Revenue = Gross Insterest Income (a) + Bank-ing Service Fee Income (d1) + Banking Fee Income(d2) + Other Operating Income (d7)

Inc statIFData

TC Total Cost = Interest Expenses (b) + Personnel Ex-penses (d3) + Administrative Expenses (d4) + TaxExpenses (d5) + Other Operating Expenses (d8)

Inc statIFData

Y Loan Lease and Other Credit Operations by RiskLevel

SummaryIFData

x1 Personnel Expenses (d3) Inc statIFDatax2 Funding (e) LiabilitiesIFDatax3 Equity (j) LiabilitiesIFData

Model variabelslnRC Log of Revenue-Cost ratiolnY Log of total loanlnx1 Log of personnel expenses and equity ratio (x1x3)lnx2 Log of funding and equity ratio (x2x3)T Time

Prudential variables - Deterministic mark-up parametersHHIt HHIt =

sumS2it where Sit

2 is market share of totalasset of bank i on time t

Inc statIFData

cb cumulative change of capital buffer Cerutti et al (2016)cr cumulative change of capital requirement Cerutti et al (2016)ltv cumulative change of loan-to-value Cerutti et al (2016)

rr foreign cumulative change of reserve requirement (foreigncurrency)

Cerutti et al (2016)

rr local cumulative change of reserve requirement (domesticcurrency)

Cerutti et al (2016)

37

Table 2 Results of IDF estimation

Parameters VariablesEstimates

Model Model Model Model Model Model(1) (2) (3) (4) (5) (6)

Parametros da funcao insumo distanciaαY Y lnY -0013 -0003 -0004 -0012 -0011 -0005

(000) (000) (000) (000) (000) (000)α1Y lnx1 -0096 -0095 -0094 -0094 -0096 -0090

(001) (001) (001) (001) (001) (001)α2Y lnx2 -0019 -0022 -0022 -0019 -0020 -0021

(001) (001) (001) (001) (001) (001)αY T T -0000 -0000 -0000 -0000 -0000 -0000

(000) (000) (000) (000) (000) (000)αY const 1153 1010 1035 1134 1129 1057

(005) (007) (005) (005) (005) (006)

Deterministic Mark-up parametersδ1 HHI 764157

(12270)δ1 Capital

Buffer7586(065)

δ2 CapitalReq

4696(160)

δ1 Loan-to-value38511(671)

δ1 ResR(foreign)10730(433)

δ2 ResR(local)2869(126)

δ1 Cum Prud3237(020)

δ0 const minus10601minus10194minus5306 minus9866 minus8577 minus4993(032) (2064) (316) (079) (119) (122)

Distribution of u and vσ2u 2840 1418 1620 2643 2441 1593σ2v 0118 0121 0120 0118 0118 0120λ 2402 1172 1354 2233 2065 1325Log Lik 887404 922033 918606 896019 891991 907817

EstimatesEstimates of Mark-up (u)Avg 0075 0065 0068 0074 0075 00691st quartile 0052 0038 0051 0051 0051 0044Median 0062 0048 0060 0060 0061 00543st quartile 0080 0074 0079 0079 0079 0075std-dev 0053 0054 0053 0053 0054 0054

Note p lt 010 p lt 005 and p lt 001

38

Table 3 Estimates of Lerner index general and by type of control

EstimatesModel Model Model Model Model Model

(1) (2) (3) (4) (5) (6)Mark-up (L) generalAverage 0058 0051 0053 0057 0058 0053std-dev 0032 0034 0034 0032 0032 00331st quartile 0043 0031 0034 0041 0042 0036Median 0051 0039 0044 0050 0050 00453st quartile 0063 0060 0059 0063 0063 0060Mark-up (L) State-owned banksAverage 0057 0047 0049 0056 0056 0050std-dev 0018 0017 0017 0018 0016 00161st quartile 0047 0035 0038 0045 0046 0040Median 0054 0041 0046 0053 0053 00463st quartile 0064 0056 0056 0064 0063 0057Mark-up (L) National banksAverage 0057 0052 0054 0057 0057 0054std-dev 0034 0038 0038 0035 0035 00371st quartile 0041 0030 0033 0040 0041 0035Median 0050 0038 0043 0048 0049 00443st quartile 0061 0061 0060 0061 0062 0060Mark-up (L) Foreign banksAverage 0061 0050 0053 0059 0060 0054std-dev 0034 0033 0032 0034 0034 00321st quartile 0042 0031 0034 0041 0042 0036Median 0052 0040 0044 0051 0051 00453st quartile 0068 0059 0060 0066 0066 0061

Table 4 Estimates of returns to scale by control type and general

ModelState-owned

banksNational

banksForeignbanks

General std-dev Min Max

1 0944 0824 0842 0848 0073 0665 11242 0940 0829 0843 0851 0066 0690 10733 0938 0827 0842 0849 0066 0689 10764 0941 0824 0842 0848 0071 0671 11115 0942 0824 0841 0848 0072 0669 11136 0937 0829 0844 0850 0065 0692 1073

39

Appendix A Attachment Tables

Table A5 Cumulative change on Prudential Measures intensity

TimeCapitalBuffer 2

(cb)

CapitalReq(cr)

Loan-to-Value(ltv)

Reserve Reqlocal curr

(RR local)

Reserve Reqforeign cur

(RR foreign)

CumulativePrudential 3

(Cum Prud)2000q2 -1 0 0 0 -2 -32000q4 -1 0 0 0 -2 -32001q2 -1 0 0 0 -2 -32001q4 0 0 0 0 -1 -12002q2 0 0 0 0 0 02002q4 2 0 0 0 2 42003q2 0 0 0 0 3 32003q4 0 0 0 0 2 22004q2 0 0 0 0 2 22004q4 0 0 0 0 2 22005q2 0 0 0 0 2 22005q4 0 0 0 0 2 22006q2 0 0 0 0 2 22006q4 0 0 0 0 2 22007q2 2 0 0 0 2 42007q4 2 0 0 0 2 42008q2 2 0 0 0 2 42008q4 2 0 0 0 1 32009q2 2 0 0 0 0 22009q4 2 0 0 0 -1 12010q2 2 0 0 0 1 32010q4 3 0 0 0 3 62011q2 3 0 0 1 3 72011q4 4 0 0 2 3 92012q2 3 1 0 2 3 92012q4 3 1 0 1 2 72013q2 3 2 0 0 2 72013q4 3 2 1 0 2 82014q2 3 2 1 0 2 82014q4 2 2 1 0 3 82Sum of capital buffer and others 3Aggregate measure (It is the sum of the change of all other instrument)

40

Table A6 Estimates of Lerner index and return to scale by bank - Model (1)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0042 0082 0009 0940 0007 -85Banrisul S 0055 0041 0084 0009 0952 0008 -635BEC S 0048 0021 0077 0016 0844 0009 -1756BRB S 0058 0033 0100 0015 0961 0003 -1533BB S 0058 0039 0098 0012 0990 0006 -173Caixa Economica Federal S 0063 0051 0174 0022 1052 0004 1458B da Amazonia SA S 0057 0016 0124 0023 0844 0008 -2028B do Estado Do Para SA S 0061 0026 0110 0022 0936 0004 -1764B do Est do Maranhao SA S 0055 0046 0065 0006 0935 0014 -455B do Est do Piauı SA - Bep S 0057 0030 0155 0029 0862 0004 -326B do Estado De Sergipe SA S 0061 0024 0135 0022 0947 0004 -1453Nossa Caixa - N Banco SA S 0057 0036 0090 0013 0981 0004 -444Bradesco N 0056 0038 0114 0015 0925 0004 -1945Itau N 0059 0031 0220 0033 0901 0003 -3797Safra N 0053 0037 0085 0009 0885 0003 -4215Unibanco N 0055 0037 0088 0014 0897 0001 -7054Mercantil Do Brasil N 0057 0027 0077 0011 0945 0002 -2527BBM N 0076 0016 0300 0065 0783 0005 -4464BMC N 0052 0030 0079 0012 0845 0003 -4703BMG N 0065 0017 0208 0045 0779 0003 -729JMalucelli N 0047 0022 0069 0013 0718 0003 -8765PEBB N 0065 0017 0181 0047 0698 0008 -3914SS N 0057 0034 0220 0037 0799 0007 -2839Sofisa N 0054 0021 0092 0020 0804 0002 -9903BIC N 0060 0034 0236 0040 0855 0005 -276Schahin N 0056 0028 0214 0035 0835 0006 -262Stock N 0081 0020 0267 0067 0817 0006 -3107Pine N 0052 0022 0108 0019 0808 0004 -545Socopa N 0056 0027 0120 0017 0886 0003 -3806Intercap N 0060 0023 0212 0037 0812 0007 -2851Indusval N 0062 0030 0246 0043 0857 0005 -3139Bonsucesso N 0052 0020 0092 0018 0779 0005 -4033Industrial do Brasil N 0051 0031 0081 0016 0807 0002 -952Votorantim N 0052 0037 0107 0017 0819 0009 -2117Cacique N 0053 0024 0071 0014 0774 0005 -4621Inter Amex N 0055 0037 0068 0010 0837 0008 -2158Alfa N 0048 0041 0059 0005 0806 0002 -11303Rendimento N 0053 0022 0080 0012 0872 0008 -1562Bancoob N 0052 0046 0056 0003 0856 0003 -5061Original N 0085 0017 0279 0090 0729 0007 -4163Banco Intermedium SA N 0052 0028 0070 0015 0743 0006 -3973

Table A6 ndash Continue on next page

41

Table A6 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0225 0049 0761 0003 -7509Banco BBN SA N 0053 0027 0077 0014 0817 0012 -1509B Cooperativo Sicredi SA N 0052 0043 0062 0005 0875 0005 -2477B Cooperativo do Brasil SA N 0056 0046 0142 0020 0910 0006 -1479Banco Topazio SA N 0060 0035 0110 0027 0834 0006 -2966Banco Gerador SA N 0069 0045 0122 0028 0852 0008 -1968Banco Randon SA N 0109 0023 0320 0109 0783 0005 -4158Parana Banco SA N 0050 0026 0108 0020 0784 0008 -2799Banco Triangulo SA N 0055 0028 0091 0020 0833 0004 -4201Banco Guanabara SA N 0052 0024 0169 0025 0777 0004 -5588Banco Cedula SA N 0068 0012 0339 0061 0731 0003 -10236Banco Cacique SA N 0077 0028 0248 0077 0785 0016 -1309B Luso Brasileiro SA N 0065 0027 0208 0043 0849 0004 -349Banco Pecunia SA N 0047 0039 0060 0006 0770 0003 -7086Banco Zogbi SA N 0051 0038 0067 0011 0778 0001 -15193Banco Daycoval SA N 0054 0023 0131 0026 0783 0004 -5522B John Deere SA N 0059 0018 0133 0033 0756 0003 -7955Banco AJ Renner SA N 0053 0025 0081 0015 0827 0006 -2742ABN Amro F 0056 0039 0079 0014 0914 0002 -427Chase F 0068 0014 0228 0049 0790 0008 -2678LLoyds F 0053 0027 0064 0012 0825 0003 -5159BankBoston F 0057 0040 0099 0020 0902 0006 -1638Santander Brasil F 0057 0034 0097 0017 0890 0008 -146Citibank F 0059 0026 0153 0028 0875 0003 -4039BNL F 0055 0041 0097 0019 0840 0006 -2767Sudameris F 0056 0048 0065 0005 0966 0012 -297Societe Generale F 0060 0024 0153 0031 0826 0006 -299Europeu F 0054 0032 0073 0013 0848 0007 -2287ABC-Brasil F 0052 0025 0082 0014 0815 0003 -6207Dresdner F 0083 0017 0280 0074 0815 0006 -3234AGF Braseg F 0051 0031 0100 0016 0794 0004 -4923HSBC F 0057 0046 0092 0010 0971 0006 -466Deutsche F 0068 0013 0160 0036 0857 0004 -3335BNP Paribas F 0050 0037 0068 0007 0824 0005 -3665Barclays F 0052 0024 0089 0021 0771 0008 -2787Rabobank Int Brasil SA F 0058 0022 0166 0028 0842 0003 -5284B Nat de Paris Br SA F 0063 0023 0109 0033 0811 0006 -3331Ibibank SA - Banco Multiplo F 0059 0012 0106 0024 0781 0015 -1441Dresdner Bank - B Multiplo F 0086 0016 0244 0068 0768 0008 -2746Banco Westlb Do Brasil SA F 0064 0034 0108 0027 0839 0010 -1626Banco GE Capital SA F 0067 0032 0247 0047 0852 0010 -1527B Com Uruguai SA F 0072 0020 0192 0049 0830 0003 -52281S - State-owned bank N - National bank and F - Foreign bank

42

Table A7 Estimates of Lerner index and return to scale by bank - Model (2)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0049 0032 0085 0016 0944 0008 -716Banrisul S 0049 0032 0106 0017 0939 0008 -75BEC S 0032 0016 0046 0008 0860 0009 -1489BRB S 0049 0030 0112 0017 0961 0002 -1681BB S 0049 0032 0091 0016 0948 0006 -845Caixa Economica Federal S 0052 0034 0081 0014 1012 0003 382B da Amazonia SA S 0053 0015 0140 0028 0847 0008 -1922B do Estado Do Para SA S 0046 0029 0063 0009 0952 0005 -963B do Est do Maranhao SA S 0036 0029 0045 0005 0963 0016 -235B do Est do Piauı SA - Bep S 0036 0023 0071 0011 0888 0005 -2314B do Estado De Sergipe SA S 0050 0020 0155 0024 0962 0004 -1043Nossa Caixa - N Banco SA S 0039 0027 0074 0011 0972 0005 -601Bradesco N 0050 0028 0116 0023 0890 0004 -2618Itau N 0052 0024 0222 0037 0869 0003 -4269Safra N 0046 0028 0100 0017 0867 0003 -5042Unibanco N 0035 0028 0054 0007 0873 0001 -8511Mercantil Do Brasil N 0051 0029 0093 0019 0941 0002 -2837BBM N 0063 0012 0213 0048 0790 0005 -4494BMC N 0034 0023 0049 0007 0851 0003 -4266BMG N 0065 0015 0233 0057 0776 0004 -6135JMalucelli N 0052 0018 0080 0016 0720 0003 -9566PEBB N 0037 0014 0108 0025 0732 0009 -3086SS N 0056 0024 0236 0046 0797 0007 -2849Sofisa N 0052 0018 0107 0028 0808 0002 -8115BIC N 0057 0026 0259 0050 0850 0006 -2531Schahin N 0047 0022 0225 0041 0845 0007 -2359Stock N 0078 0017 0287 0071 0843 0006 -2782Pine N 0048 0018 0114 0023 0811 0004 -4973Socopa N 0050 0022 0136 0024 0908 0003 -3089Intercap N 0051 0019 0133 0031 0832 0006 -2759Indusval N 0061 0023 0267 0052 0866 0006 -2437Bonsucesso N 0050 0017 0109 0026 0791 0006 -3655Industrial do Brasil N 0044 0024 0079 0015 0816 0002 -8095Votorantim N 0048 0025 0120 0026 0807 0007 -2721Cacique N 0033 0020 0039 0006 0782 0005 -4597Inter Amex N 0035 0025 0045 0007 0844 0006 -2419Alfa N 0042 0029 0069 0013 0801 0002 -12139Rendimento N 0049 0019 0077 0015 0889 0008 -1394Bancoob N 0065 0057 0073 0006 0855 0003 -4199Original N 0099 0019 0299 0096 0732 0006 -4473Banco Intermedium SA N 0062 0032 0081 0019 0754 0006 -4393

Table A7 ndash Continue on next page

43

Table A7 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0059 0016 0239 0051 0778 0003 -6944Banco BBN SA N 0035 0020 0053 0009 0834 0011 -1466B Cooperativo Sicredi SA N 0045 0032 0070 0011 0881 0005 -2581B Cooperativo do Brasil SA N 0045 0029 0147 0025 0922 0006 -1274Banco Topazio SA N 0076 0043 0138 0038 0861 0005 -2569Banco Gerador SA N 0089 0054 0153 0037 0874 0008 -1645Banco Randon SA N 0122 0029 0335 0113 0803 0005 -388Parana Banco SA N 0033 0020 0062 0011 0800 0009 -234Banco Triangulo SA N 0052 0022 0105 0027 0841 0004 -4148Banco Guanabara SA N 0046 0019 0091 0020 0793 0004 -5561Banco Cedula SA N 0062 0011 0359 0067 0749 0003 -9911Banco Cacique SA N 0049 0020 0157 0048 0791 0016 -1315Banco Luso Brasileiro SA N 0066 0022 0241 0055 0870 0005 -2851Banco Pecunia SA N 0032 0027 0036 0003 0787 0003 -6876Banco Zogbi SA N 0032 0026 0037 0005 0784 0002 -13006Banco Daycoval SA N 0053 0019 0139 0036 0784 0004 -6065Banco John Deere SA N 0035 0016 0073 0016 0761 0003 -8278Banco AJ Renner SA N 0047 0021 0083 0015 0844 0006 -2553ABN Amro F 0035 0027 0047 0006 0889 0002 -7231Chase F 0054 0013 0157 0033 0804 0007 -2702LLoyds F 0033 0020 0043 0008 0821 0003 -5429BankBoston F 0036 0026 0060 0011 0888 0006 -1917Santander Brasil F 0055 0025 0115 0030 0864 0008 -1647Citibank F 0051 0020 0132 0025 0860 0003 -4735BNL F 0036 0026 0062 0012 0843 0005 -2959Sudameris F 0036 0031 0040 0004 0949 0011 -468Societe Generale F 0051 0018 0104 0024 0835 0007 -2454Europeu F 0034 0025 0041 0006 0859 0007 -2076ABC-Brasil F 0043 0026 0086 0015 0813 0003 -5797Dresdner F 0050 0014 0190 0046 0824 0004 -3975AGF Braseg F 0044 0024 0068 0014 0810 0005 -4109HSBC F 0052 0031 0110 0021 0948 0007 -776Deutsche F 0054 0012 0166 0030 0866 0005 -2754BNP Paribas F 0049 0028 0073 0013 0818 0004 -4092Barclays F 0065 0028 0121 0027 0811 0005 -4028Rabobank Int Brasil SA F 0047 0017 0102 0017 0845 0003 -4605B Nat de Paris Brasil SA F 0036 0017 0054 0013 0819 0005 -3304Ibibank SA - Banco Multiplo F 0043 0010 0114 0025 0782 0013 -1623Dresdner Bank - B Multiplo F 0096 0015 0270 0076 0785 0007 -2924Banco Westlb Do Brasil SA F 0041 0026 0062 0013 0853 0010 -154Banco GE Capital SA F 0054 0026 0253 0049 0862 0010 -1444B Com Uruguai SA F 0070 0017 0220 0058 0849 0003 -4471S - State-owned bank N - National bank and F - Foreign bank

44

Table A8 Estimates of Lerner index and return to scale by bank - Model (3)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0034 0090 0016 0941 0008 -772Banrisul S 0051 0032 0108 0016 0938 0008 -772BEC S 0035 0018 0051 0009 0856 0009 -1562BRB S 0052 0032 0122 0018 0958 0002 -1793BB S 0052 0035 0085 0015 0951 0006 -809Caixa Economica Federal S 0054 0039 0098 0014 1015 0003 465B da Amazonia SA S 0053 0014 0113 0024 0845 0008 -1977B do Estado Do Para SA S 0049 0028 0071 0010 0947 0005 -1117B do E do Maranhao SA S 0041 0032 0059 0008 0957 0015 -285B do E do Piauı SA - Bep S 0041 0028 0086 0014 0882 0005 -2518B do Estado De Sergipe SA S 0052 0021 0145 0022 0957 0004 -1182Nossa Caixa - N Banco SA S 0045 0029 0081 0015 0971 0005 -651Bradesco N 0052 0029 0101 0021 0893 0004 -2614Itau N 0054 0025 0203 0034 0872 0003 -4328Safra N 0048 0029 0093 0015 0869 0003 -5008Unibanco N 0041 0028 0067 0010 0874 0001 -8514Mercantil Do Brasil N 0053 0026 0095 0018 0939 0002 -29BBM N 0067 0013 0250 0056 0789 0005 -4501BMC N 0038 0024 0069 0010 0849 0003 -4408BMG N 0067 0015 0233 0058 0776 0004 -6374JMalucelli N 0052 0022 0087 0016 0720 0003 -9426PEBB N 0045 0014 0158 0040 0727 0009 -3192SS N 0057 0025 0231 0046 0797 0007 -287Sofisa N 0053 0018 0116 0026 0807 0002 -8444BIC N 0059 0030 0250 0049 0850 0006 -2596Schahin N 0048 0023 0220 0038 0842 0007 -2424Stock N 0083 0017 0304 0077 0838 0006 -2873Pine N 0049 0019 0105 0020 0810 0004 -5103Socopa N 0050 0026 0111 0018 0903 0003 -3253Intercap N 0055 0020 0196 0036 0828 0006 -283Indusval N 0062 0029 0282 0052 0863 0005 -2588Bonsucesso N 0051 0017 0118 0025 0789 0006 -3771Industrial do Brasil N 0046 0025 0086 0015 0815 0002 -8341Votorantim N 0050 0027 0128 0027 0809 0007 -2664Cacique N 0037 0020 0048 0009 0781 0005 -4645Inter Amex N 0039 0026 0058 0009 0842 0006 -2468Alfa N 0044 0031 0072 0011 0801 0002 -11998Rendimento N 0049 0022 0078 0011 0885 0008 -1463Bancoob N 0066 0057 0077 0007 0854 0003 -4342Original N 0102 0019 0301 0096 0730 0006 -4526Banco Intermedium SA N 0059 0027 0083 0020 0752 0006 -4354

Table A8 ndash Continue on next page

45

Table A8 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0017 0217 0054 0776 0003 -7084Banco BBN SA N 0038 0022 0058 0010 0831 0011 -1492B Cooperativo Sicredi SA N 0047 0035 0071 0010 0879 0005 -259B Cooperativo do Brasil SA N 0046 0035 0128 0020 0919 0006 -1339Banco Topazio SA N 0075 0036 0153 0041 0855 0005 -2657Banco Gerador SA N 0091 0057 0144 0034 0869 0008 -173Banco Randon SA N 0124 0029 0332 0112 0799 0005 -4023Parana Banco SA N 0036 0021 0071 0012 0797 0008 -2452Banco Triangulo SA N 0053 0023 0115 0027 0839 0004 -4256Banco Guanabara SA N 0047 0020 0100 0019 0790 0004 -561Banco Cedula SA N 0066 0012 0362 0068 0747 0003 -10082Banco Cacique SA N 0063 0026 0231 0074 0789 0016 -1336Banco Luso Brasileiro SA N 0066 0026 0249 0053 0865 0005 -2985Banco Pecunia SA N 0034 0029 0041 0004 0784 0003 -7038Banco Zogbi SA N 0036 0027 0046 0006 0782 0002 -13399Banco Daycoval SA N 0054 0019 0131 0034 0784 0004 -607Banco John Deere SA N 0039 0015 0083 0018 0761 0003 -8316Banco AJ Renner SA N 0049 0024 0073 0013 0840 0006 -2621ABN Amro F 0041 0030 0066 0009 0890 0002 -6866Chase F 0059 0013 0173 0039 0801 0007 -2733LLoyds F 0038 0021 0055 0010 0821 0003 -5484BankBoston F 0040 0028 0063 0012 0888 0006 -1931Santander Brasil F 0056 0028 0107 0027 0866 0008 -1663Citibank F 0052 0022 0123 0023 0860 0003 -4735BNL F 0039 0028 0063 0014 0841 0005 -2966Sudameris F 0041 0036 0052 0006 0948 0011 -473Societe Generale F 0052 0020 0103 0022 0833 0006 -2579Europeu F 0038 0030 0049 0007 0856 0007 -2153ABC-Brasil F 0046 0029 0079 0014 0813 0003 -5935Dresdner F 0055 0014 0212 0052 0822 0005 -3913AGF Braseg F 0046 0027 0071 0014 0806 0005 -4276HSBC F 0053 0032 0101 0019 0949 0007 -784Deutsche F 0058 0013 0141 0029 0863 0005 -2878BNP Paribas F 0051 0030 0074 0012 0818 0004 -4118Barclays F 0066 0025 0130 0030 0805 0005 -4123Rabobank Int Brasil SA F 0049 0019 0109 0018 0844 0003 -4752B Nat de Paris Brasil SA F 0041 0019 0069 0018 0817 0005 -3368Ibibank SA - Banco Multiplo F 0046 0010 0095 0021 0781 0014 -1617Dresdner Bank - B Multiplo F 0093 0017 0282 0072 0782 0008 -2899Banco Westlb Do Brasil SA F 0044 0027 0069 0015 0850 0009 -1591Banco GE Capital SA F 0055 0026 0249 0046 0859 0009 -1489B Com Uruguai SA F 0071 0017 0228 0056 0845 0003 -46241S - State-owned bank N - National bank and F - Foreign bank

46

Table A9 Estimates of Lerner index and return to scale by bank - Model (4)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0054 0041 0078 0011 0939 0007 -873Banrisul S 0055 0040 0106 0014 0948 0008 -692BEC S 0046 0020 0072 0014 0846 0009 -1746BRB S 0057 0032 0094 0016 0959 0002 -1673BB S 0057 0038 0095 0014 0981 0006 -33Caixa Economica Federal S 0061 0049 0165 0021 1042 0003 1249B da Amazonia SA S 0056 0015 0117 0022 0844 0008 -2047B do Estado Do Para SA S 0059 0025 0103 0020 0936 0004 -1701B do E Do Maranhao SA S 0052 0044 0062 0005 0936 0014 -448B do E Do Piauı SA - Bep S 0054 0029 0147 0028 0865 0004 -3201B do Estado De Sergipe SA S 0061 0023 0168 0026 0947 0004 -1484Nossa Caixa - N Banco SA S 0054 0035 0085 0012 0977 0004 -547Bradesco N 0056 0036 0107 0017 0919 0004 -2123Itau N 0058 0030 0212 0032 0896 0003 -3979Safra N 0052 0035 0107 0013 0882 0003 -445Unibanco N 0052 0035 0082 0013 0892 0001 -7446Mercantil Do Brasil N 0057 0027 0093 0015 0942 0002 -2687BBM N 0075 0015 0294 0064 0784 0005 -4512BMC N 0050 0029 0074 0011 0846 0003 -472BMG N 0065 0016 0202 0047 0779 0003 -7192JMalucelli N 0048 0022 0071 0014 0720 0003 -8923PEBB N 0061 0016 0172 0044 0704 0008 -382SS N 0056 0033 0213 0037 0799 0007 -2875Sofisa N 0053 0020 0087 0019 0805 0002 -9731BIC N 0061 0033 0269 0048 0854 0005 -2768Schahin N 0053 0027 0205 0034 0836 0006 -2627Stock N 0081 0020 0265 0068 0820 0006 -3122Pine N 0052 0022 0118 0021 0808 0004 -5467Socopa N 0054 0026 0114 0016 0888 0003 -3785Intercap N 0057 0023 0203 0035 0815 0006 -2877Indusval N 0062 0029 0239 0043 0857 0005 -3085Bonsucesso N 0052 0019 0088 0018 0782 0005 -403Industrial do Brasil N 0050 0030 0076 0015 0809 0002 -9427Votorantim N 0051 0036 0102 0017 0817 0008 -2222Cacique N 0050 0023 0067 0013 0776 0005 -4659Inter Amex N 0052 0035 0064 0009 0837 0007 -2226Alfa N 0048 0039 0071 0007 0805 0002 -11484Rendimento N 0052 0022 0076 0013 0874 0008 -1571Bancoob N 0057 0045 0071 0011 0855 0003 -5022Original N 0094 0017 0278 0090 0730 0006 -4242Banco Intermedium SA N 0049 0027 0065 0014 0746 0006 -4054

Table A9 ndash Continue on next page

47

Table A9 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0019 0220 0050 0764 0003 -7516Banco BBN SA N 0050 0027 0072 0013 0819 0012 -1529B Cooperativo Sicredi SA N 0051 0041 0068 0006 0875 0005 -2551B Cooperativo do Brasil SA N 0053 0044 0134 0018 0910 0006 -151Banco Topazio SA N 0066 0035 0128 0036 0837 0005 -2981Banco Gerador SA N 0082 0045 0157 0043 0854 0007 -1967Banco Randon SA N 0106 0026 0312 0105 0786 0005 -4204Parana Banco SA N 0048 0025 0102 0018 0787 0008 -2768Banco Triangulo SA N 0054 0027 0088 0021 0834 0004 -427Banco Guanabara SA N 0051 0023 0161 0025 0780 0004 -5659Banco Cedula SA N 0069 0012 0360 0065 0735 0003 -1028Banco Cacique SA N 0073 0027 0240 0075 0786 0016 -1327Banco Luso Brasileiro SA N 0065 0026 0242 0047 0852 0004 -346Banco Pecunia SA N 0045 0037 0056 0006 0773 0003 -7139Banco Zogbi SA N 0048 0036 0064 0010 0779 0001 -15057Banco Daycoval SA N 0055 0022 0126 0030 0784 0004 -568Banco John Deere SA N 0056 0018 0125 0031 0757 0003 -8084Banco AJ Renner SA N 0051 0025 0077 0013 0829 0006 -2763ABN Amro F 0053 0038 0074 0013 0909 0002 -4803Chase F 0066 0014 0220 0046 0793 0008 -2711LLoyds F 0050 0026 0060 0011 0825 0003 -5323BankBoston F 0054 0038 0092 0018 0899 0006 -1734Santander Brasil F 0056 0033 0098 0019 0885 0007 -1529Citibank F 0059 0025 0145 0030 0872 0003 -421BNL F 0052 0039 0091 0018 0840 0006 -2854Sudameris F 0053 0046 0062 0005 0961 0011 -352Societe Generale F 0058 0023 0144 0028 0827 0006 -2968Europeu F 0052 0031 0069 0012 0849 0007 -23ABC-Brasil F 0051 0028 0091 0015 0815 0003 -6225Dresdner F 0078 0017 0271 0071 0816 0005 -339AGF Braseg F 0050 0030 0094 0015 0797 0004 -4873HSBC F 0057 0045 0116 0016 0966 0006 -562Deutsche F 0066 0013 0151 0034 0858 0004 -3316BNP Paribas F 0050 0036 0071 0010 0823 0005 -3772Barclays F 0057 0024 0102 0025 0777 0007 -3003Rabobank Int Brasil SA F 0057 0021 0157 0026 0842 0003 -5266B Nat de Paris Brasil SA F 0059 0023 0102 0030 0812 0006 -3387Ibibank SA - Banco Multiplo F 0056 0012 0100 0023 0781 0015 -148Dresdner Bank - B Multiplo F 0084 0016 0237 0064 0771 0008 -2798Banco Westlb Do Brasil SA F 0061 0033 0101 0025 0841 0010 -1646Banco GE Capital SA F 0063 0031 0238 0044 0853 0010 -1548B Com Uruguai SA F 0074 0020 0226 0056 0833 0003 -51921S - State-owned bank N - National bank and F - Foreign bank

48

Table A10 Estimates of Lerner index and return to scale by bank - Model (5)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0043 0093 0012 0940 0007 -834Banrisul S 0054 0041 0083 0009 0949 0008 -668BEC S 0046 0020 0075 0014 0846 0009 -1719BRB S 0058 0032 0121 0017 0960 0002 -1607BB S 0056 0037 0087 0010 0981 0006 -321Caixa Economica Federal S 0061 0050 0156 0019 1044 0003 1282B da Amazonia SA S 0057 0016 0115 0023 0843 0008 -2023B do Estado Do Para SA S 0059 0027 0102 0020 0938 0004 -1608B do E Do Maranhao SA S 0052 0042 0064 0006 0939 0015 -418B do E Do Piauı SA - Bep S 0054 0029 0138 0025 0866 0004 -3097B do Estado De Sergipe SA S 0059 0024 0136 0020 0949 0004 -1404Nossa Caixa - N Banco SA S 0055 0036 0088 0013 0979 0004 -494Bradesco N 0056 0037 0108 0016 0918 0004 -2108Itau N 0058 0031 0213 0033 0894 0003 -3968Safra N 0052 0036 0086 0010 0881 0003 -4388Unibanco N 0053 0037 0085 0013 0892 0001 -7433Mercantil Do Brasil N 0057 0027 0086 0012 0943 0002 -2619BBM N 0075 0015 0292 0063 0784 0005 -447BMC N 0050 0029 0077 0012 0846 0003 -4648BMG N 0067 0017 0220 0051 0777 0003 -7116JMalucelli N 0049 0022 0083 0016 0718 0003 -8879PEBB N 0060 0017 0176 0044 0704 0008 -3743SS N 0059 0032 0223 0041 0798 0007 -2847Sofisa N 0055 0021 0112 0022 0804 0002 -9624BIC N 0060 0032 0238 0041 0853 0005 -2725Schahin N 0055 0028 0228 0038 0836 0006 -2575Stock N 0082 0019 0267 0068 0821 0006 -3063Pine N 0052 0022 0096 0018 0808 0004 -5392Socopa N 0055 0027 0113 0016 0889 0003 -3694Intercap N 0060 0023 0210 0037 0814 0006 -2856Indusval N 0062 0029 0245 0044 0857 0005 -3023Bonsucesso N 0053 0020 0113 0022 0781 0005 -3999Industrial do Brasil N 0051 0030 0084 0016 0808 0002 -9274Votorantim N 0052 0037 0130 0022 0816 0008 -2227Cacique N 0049 0024 0065 0012 0775 0005 -4632Inter Amex N 0052 0034 0067 0011 0837 0007 -2236Alfa N 0047 0041 0056 0004 0804 0002 -11448Rendimento N 0053 0022 0079 0011 0874 0008 -1549Bancoob N 0056 0050 0064 0005 0856 0003 -4874Original N 0087 0018 0288 0093 0728 0006 -4259Banco Intermedium SA N 0055 0027 0078 0019 0744 0006 -4047

Table A10 ndash Continue on next page

49

Table A10 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0217 0048 0763 0003 -7417Banco BBN SA N 0051 0026 0075 0014 0820 0012 -1504B Cooperativo Sicredi SA N 0051 0040 0061 0005 0876 0005 -2499B Cooperativo do Brasil SA N 0054 0043 0136 0019 0912 0006 -1445Banco Topazio SA N 0061 0034 0109 0026 0838 0006 -2897Banco Gerador SA N 0073 0052 0124 0026 0855 0008 -1918Banco Randon SA N 0120 0024 0327 0114 0785 0005 -4153Parana Banco SA N 0048 0026 0106 0020 0786 0008 -2732Banco Triangulo SA N 0055 0027 0111 0022 0834 0004 -4227Banco Guanabara SA N 0052 0024 0153 0024 0779 0004 -5589Banco Cedula SA N 0069 0012 0339 0062 0734 0003 -10232Banco Cacique SA N 0076 0027 0246 0076 0785 0016 -1317Banco Luso Brasileiro SA N 0067 0027 0207 0047 0852 0004 -3379Banco Pecunia SA N 0046 0038 0054 0006 0773 0003 -71Banco Zogbi SA N 0047 0037 0061 0010 0778 0001 -14931Banco Daycoval SA N 0054 0022 0126 0026 0782 0004 -5661Banco John Deere SA N 0056 0018 0129 0031 0756 0003 -8043Banco AJ Renner SA N 0053 0025 0080 0015 0829 0006 -2716ABN Amro F 0053 0038 0074 0012 0908 0002 -4751Chase F 0067 0014 0225 0047 0792 0008 -2693LLoyds F 0049 0025 0064 0012 0824 0003 -5227BankBoston F 0054 0037 0096 0020 0899 0006 -1701Santander Brasil F 0057 0033 0103 0019 0884 0008 -1511Citibank F 0059 0026 0154 0028 0871 0003 -4204BNL F 0052 0037 0097 0020 0840 0006 -28Sudameris F 0052 0045 0058 0005 0962 0011 -334Societe Generale F 0060 0023 0151 0031 0827 0006 -2924Europeu F 0050 0032 0066 0012 0849 0007 -2263ABC-Brasil F 0051 0025 0079 0014 0814 0003 -617Dresdner F 0080 0017 0276 0073 0816 0005 -3374AGF Braseg F 0050 0031 0093 0015 0796 0004 -4812HSBC F 0057 0043 0093 0011 0966 0006 -541Deutsche F 0066 0013 0155 0035 0858 0004 -3244BNP Paribas F 0050 0035 0067 0008 0822 0005 -3775Barclays F 0056 0024 0113 0025 0778 0007 -305Rabobank Int Brasil SA F 0057 0021 0163 0027 0842 0003 -5208B Nat de Paris Brasil SA F 0058 0022 0100 0029 0812 0006 -3343Ibibank SA - Banco Multiplo F 0057 0012 0099 0023 0780 0015 -1478Dresdner Bank - B Multiplo F 0087 0016 0244 0068 0770 0008 -2768Banco Westlb Do Brasil SA F 0063 0034 0106 0026 0841 0010 -1625Banco GE Capital SA F 0064 0032 0247 0046 0853 0010 -1522B Com Uruguai SA F 0073 0019 0191 0049 0833 0003 -50981S - State-owned bank N - National bank and F - Foreign bank

50

Table A11 Estimates of Lerner index and return to scale by bank - Model (6)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0036 0096 0015 0939 0007 -855Banrisul S 0050 0035 0098 0014 0938 0008 -82BEC S 0041 0019 0067 0012 0855 0009 -1644BRB S 0053 0029 0124 0018 0956 0002 -1996BB S 0051 0032 0088 0013 0954 0006 -807Caixa Economica Federal S 0054 0040 0094 0012 1014 0003 475B da Amazonia SA S 0053 0015 0103 0022 0846 0008 -205B do Estado Do Para SA S 0051 0028 0074 0013 0943 0004 -1319B do E Do Maranhao SA S 0041 0031 0059 0008 0950 0014 -346B do E Do Piauı SA - Bep S 0042 0028 0084 0012 0879 0004 -2727B do Estado De Sergipe SA S 0052 0022 0153 0022 0953 0003 -1377Nossa Caixa - N Banco SA S 0047 0032 0081 0014 0969 0004 -74Bradesco N 0052 0032 0097 0019 0898 0004 -2645Itau N 0054 0027 0190 0031 0877 0003 -4452Safra N 0049 0032 0100 0015 0872 0003 -5056Unibanco N 0043 0032 0067 0010 0878 0001 -8666Mercantil Do Brasil N 0053 0026 0087 0017 0938 0002 -3104BBM N 0066 0013 0251 0056 0792 0005 -4556BMC N 0041 0026 0069 0011 0850 0003 -4582BMG N 0067 0016 0228 0057 0781 0003 -6611JMalucelli N 0051 0022 0089 0017 0725 0003 -9344PEBB N 0046 0015 0157 0039 0728 0008 -3313SS N 0058 0025 0230 0046 0801 0007 -292Sofisa N 0053 0020 0119 0025 0809 0002 -8846BIC N 0060 0029 0262 0049 0852 0005 -2697Schahin N 0049 0025 0229 0040 0843 0006 -2523Stock N 0081 0017 0284 0072 0836 0005 -2986Pine N 0049 0021 0112 0019 0812 0004 -5267Socopa N 0050 0026 0095 0015 0900 0003 -3515Intercap N 0055 0021 0196 0035 0828 0006 -2899Indusval N 0061 0029 0262 0049 0863 0005 -2762Bonsucesso N 0052 0019 0123 0026 0791 0005 -3885Industrial do Brasil N 0046 0027 0088 0015 0816 0002 -8698Votorantim N 0051 0027 0139 0027 0813 0007 -262Cacique N 0039 0022 0050 0009 0784 0005 -4707Inter Amex N 0045 0027 0064 0012 0843 0006 -2493Alfa N 0044 0033 0068 0009 0805 0002 -12111Rendimento N 0050 0022 0073 0010 0883 0008 -1543Bancoob N 0066 0055 0072 0007 0856 0003 -4559Original N 0098 0020 0294 0094 0735 0006 -4509Banco Intermedium SA N 0057 0024 0085 0022 0756 0006 -4324

Table A11 ndash Continue on next page

51

Table A11 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0061 0017 0195 0048 0777 0003 -7233Banco BBN SA N 0042 0023 0059 0012 0831 0011 -1529B Cooperativo Sicredi SA N 0048 0035 0066 0009 0879 0005 -2672B Cooperativo do Brasil SA N 0046 0034 0119 0017 0917 0006 -1439Banco Topazio SA N 0070 0031 0129 0036 0853 0005 -2776Banco Gerador SA N 0086 0057 0148 0034 0867 0007 -1825Banco Randon SA N 0126 0028 0331 0114 0799 0005 -4136Parana Banco SA N 0039 0023 0082 0015 0798 0008 -2556Banco Triangulo SA N 0052 0025 0116 0025 0840 0004 -4363Banco Guanabara SA N 0048 0021 0100 0019 0792 0004 -5683Banco Cedula SA N 0067 0013 0356 0067 0749 0002 -10205Banco Cacique SA N 0067 0026 0232 0073 0792 0015 -1356Banco Luso Brasileiro SA N 0065 0025 0237 0052 0864 0004 -3163Banco Pecunia SA N 0037 0029 0045 0006 0786 0003 -7158Banco Zogbi SA N 0037 0027 0045 0007 0785 0002 -13921Banco Daycoval SA N 0053 0020 0120 0031 0787 0003 -6088Banco John Deere SA N 0043 0017 0099 0022 0764 0003 -8346Banco AJ Renner SA N 0050 0025 0080 0013 0840 0006 -2706ABN Amro F 0043 0035 0067 0008 0894 0002 -6685Chase F 0059 0014 0189 0040 0803 0007 -2772LLoyds F 0039 0021 0055 0012 0824 0003 -5536BankBoston F 0044 0029 0075 0015 0890 0006 -1965Santander Brasil F 0054 0028 0107 0024 0871 0008 -1694Citibank F 0054 0023 0133 0026 0863 0003 -4787BNL F 0042 0028 0078 0018 0843 0005 -2998Sudameris F 0041 0036 0052 0006 0948 0010 -491Societe Generale F 0054 0020 0118 0025 0834 0006 -2716Europeu F 0038 0029 0049 0008 0856 0006 -2239ABC-Brasil F 0046 0028 0084 0014 0816 0003 -6111Dresdner F 0063 0015 0239 0061 0823 0005 -3888AGF Braseg F 0047 0027 0074 0014 0807 0004 -4477HSBC F 0054 0032 0109 0018 0950 0006 -823Deutsche F 0058 0013 0122 0028 0863 0004 -305BNP Paribas F 0051 0032 0070 0011 0822 0004 -4145Barclays F 0064 0024 0128 0029 0802 0005 -4051Rabobank Int Brasil SA F 0051 0019 0130 0021 0846 0003 -4992B Nat de Paris Brasil SA F 0043 0019 0070 0019 0819 0005 -3429Ibibank SA - Banco Multiplo F 0049 0010 0083 0020 0785 0013 -161Dresdner Bank - B Multiplo F 0087 0016 0261 0066 0783 0007 -2901Banco Westlb Do Brasil SA F 0051 0030 0082 0019 0850 0009 -1643Banco GE Capital SA F 0053 0028 0239 0044 0859 0009 -1544B Com Uruguai SA F 0071 0017 0217 0054 0845 0003 -48451S - State-owned bank N - National bank and F - Foreign bank

52

Seacuterie de Textos para Discussatildeo do Curso de Ciecircncias Econocircmicas ndash FACEUFG ndash TD [078]

EDITORIAL FACE ndash Faculdade de Administraccedilatildeo Ciecircncias Contaacutebeis e Ciecircncias Econocircmicas Curso de Ciecircncias Econocircmicas Direccedilatildeo FACE Prof Moiseacutes Ferreira da Cunha Vice-Direccedilatildeo FACE Profordf Andreacutea Freire de Lucena Coordenaccedilatildeo do Curso de Ciecircncias Econocircmicas Prof Tiago Camarinha Lopes NEPEC ndash Nuacutecleo de Estudos e Pesquisas Econocircmicas Coordenaccedilatildeo Prof Seacutergio Fornazier Meyrelles Filho SEacuteRIE DE TEXTOS PARA DISCUSSAtildeO DO CURSO DE CIEcircNCIAS ECONOcircMICAS DA UFG Coordenaccedilatildeo e Equipe de Editoraccedilatildeo Prof Sandro Eduardo Monsueto Adriana Moura Guimaratildees Matheus Henrique de Arauacutejo Dutra

Endereccedilo Campus Samambaia Preacutedio da FACE ndash Rodovia GoiacircniaNova Veneza km 0 ndash CEP 74690-900 Goiacircnia ndash GO Tel (62) 3521 ndash 1390 URL httpwwwfaceufgbreconomia Publicaccedilatildeo cujo objetivo eacute divulgar resultados de estudos que contam com a participaccedilatildeo de pesquisadores do NEPEC As opiniotildees contidas nesta publicaccedilatildeo satildeo de inteira responsabilidade do(s) autor(es) natildeo representando necessariamente o ponto de vista do NEPEC ou da FACEUFG Eacute permitida a reproduccedilatildeo desde que citada a fonte

Page 25: 1(3(& )$&( 8)* · The Dark Side of Prudential MeasuresI Paulo R. Scalco a, Benjamin M. Tabak1, Anderson M. Teixeira aFaculty of Management, Accounting and Economics, Federal University

small fraction of Brazilian credit market we decided to exclude them from the sample

However It is worth highlight as they are small FIs the vast majority operate in particular

segments of the credit market and probably assume a more risk-taking behavior Considering

that they will work with a segment of credit claimants with rdquoworse scoresrdquo than borrowers

using large FIs we expect that the mark-up of these IFs will be higher We can observe

(part of) this phenomenon in Figure 4 where we represent the estimates of the Lerner index

(vertical axis) against market share of total assets (horizontal axis) of our sample and it is

quite evident the smaller banks have the higher mark-ups Therefore as our sample exclude

a large proportion of these small IFs it is natural that Coccorese (2014)rsquo results larger than

ours

Figure 4 Lerner indexes according to the size (market share) of banksrsquo assets

Regardless of this our results seem to adhere well to reality because if we look at Figure

5 we note that the Lerner indices show a significant increase from the second semester of

2008 These results are in agreement with the results of Cubillas amp Suarez (2018) Besides

in Figure 6 Lerner indexes are separated by type of control and we can observe that with

some exceptions the market power has always been lower for state-owned banks especially

considering the period after the GFC

Figure 5 Average Lerner indices for each model between 2000q2 and 2014q4

Figure 6 Average Lerner indices estimated for public private national and private

foreign banks between2000q2 and 2014q4

23

53 Estimation of Returns to Scale

Finally Table 4 and Figure 7 summarize the estimates of returns to scale We highlight

that the average of the returns to the scale of the Brazilian FIs is very close if we comparer

the six estimated models (between 0848 and 0851) Although the values are close to unity

in all IFs we reject the hypotheses of constant returns to the scale that is RTS = 1 therefore

IFs have diseconomies of scale

Table 4 Estimates of returns to scale by control type and general

When we separate estimates by type of control the estimates of state-owned banks

(0937-0944) are higher than national (0824-0829) and foreign banks (0841-0844) This

result means that the scale problem is a problem common to all FIs in Brazil Moreover

state-owned banks runs closer to the constant return region than national and foreign banks

Figure 7 Frequency distribution of the returns to scale indexes for each model and

density estimationKernel by type of control

6 Final Considerations

Considering that the banking industry underwent a significant restructuring in recent

years caused by several mergers and acquisitions in the sector as well as by a severe financial

crisis started in mid 2007 and potentialized in 2008 understand the behavior of market

power and as a (partial) set of prudential instruments influencing this dynamic has become

paramount Thus in an innovative way this paper proposed the use of stochastic frontier

analysis techniques to measure market power for the Brazilian banking industry and to test

if such prudential measures had an impact on the competitive dynamics of sector

The estimated average Lerner index was between 51 and 58 for Brazilian FIs How-

ever when controlled by the type of control we find that state-owned banks have slightly

24

lower estimates than national and foreign banks respectively Also estimates of returns to

scale allow us to infer that FIs operate with diseconomies of scale

Concerning the impact of prudential measures on the market power of FIs our results

generally suggest that tightening of prudential measures have a positive impact on bank

mark-up and consequently have detrimental effects on competition in industry banking

Finally in future research it will be possible to better understand the influence of some

prudential measures in the banking market through the study by type of segment or line of

credit

25

References

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idence from a uk policy experiment Journal of Money Credit and Banking 46 181ndash214

URL httpsonlinelibrarywileycomdoiabs101111jmcb12086 doi101111jmcb12086

arXivhttpsonlinelibrarywileycomdoipdf101111jmcb12086

Altunbas Y Binici M amp Gambacorta L (2018) Macroprudential policy and bank risk Journal of

International Money and Finance 81 203ndash220 doihttpsdoiorg101016jjimonfin201711

012

Araujo L A D d amp Jorge Neto P d M (2007) Risco e competicao bancaria no Brasil Revista Brasileira

de Economia 61 175ndash200 URL httpwwwscielobrscielophpscript=sci_abstractamppid=

S0034-71402007000200003amplng=enampnrm=isoamptlng=pt doi101590S0034-71402007000200003

Auer R amp Ongena S (2019) The countercyclical capital buffer and the composition of bank lending

Available at SSRN 3345189

Ayyagari M Beck T amp Peria M (2018) The micro impact of macroprudential policies Firm-level

evidence IMF Working Paper

Barbosa K de Paula Rocha B amp Salazar F (2015) Assessing competition in the banking indus-

try A multi-product approach Journal of Banking amp Finance 50 340ndash362 URL httpwww

sciencedirectcomsciencearticlepiiS0378426614001642 doi101016jjbankfin201405

003

Belaisch A (2003) Do Brazilian Banks Compete SSRN Scholarly Paper ID 879189 Social Science Research

Network Rochester NY URL httpspapersssrncomabstract=879189

Bikker J A Shaffer S amp Spierdijk L K (2012) Assessing competition with the panzar-rosse model

The role of scale costs and equilibrium Economics Letters 94 1025ndash1044

Bresnahan T F (1982) The oligopoly solution concept is identified Economics Letters 10 87ndash92 URL

httpdxdoiorg1010160165-1765(82)90121-5 doi1010160165-1765(82)90121-5

Bresnahan T F amp Reiss P (1991) Entry and competition in concentrated markets Journal of Political

Economy 99 977ndash1009

Camors C amp Peydro J (2014) Macroprudential and monetary policy Loan-level evidence from reserve

requirement Mimeo Universitat Pompeu Fabra URL httpspdfssemanticscholarorgd508

61639bb4e7453a7a39184edf9b0c1e7016a6pdf

Cardoso M Azevedo P F amp Barbosa K (2016) Concorrencia no setor bancario brasileiro bancos

individuais versus conglomerados bancarios (pp 113ndash146) URL httprepositorioipeagovbr

handle110586650

Cerutti E Claessens S amp Laeven L (2017a) The use and effectiveness of macroprudential policies New

26

evidence Journal of Financial Stability 28 203ndash224 doihttpsdoiorg101016jjfs201510

004

Cerutti E Correa R Fiorentino E amp Segalla E (2016) Changes in prudential policy instruments ndash a

new cross-country database IMF Working Paper WP1610

Cerutti E Dagher J amp DellrsquoAriccia G (2017b) Housing finance and real-estate booms A cross-country

perspective Journal of Housing Economics 38 1ndash13

Claessens S (2015) An overview of macroprudential policy tools Annual Re-

view of Financial Economics 7 397ndash422 URL httpsdoiorg101146

annurev-financial-111914-041807 doi101146annurev-financial-111914-041807

arXivhttpsdoiorg101146annurev-financial-111914-041807

Claessens S Ghosh S R amp Mihet R (2013) Macro-prudential policies to mitigate financial system

vulnerabilities Journal of International Money and Finance 39 153ndash185 doihttpsdoiorg10

1016jjimonfin201306023

Claessens S amp Laeven L (2004) What drives bank competition some international evidence Journal

of Money Credit and Banking 36 563ndash583 URL httpwwwjstororgstable3838954

Coccorese P (2014) Estimating the Lerner index for the banking industry a stochastic frontier approach

Applied Financial Economics 24 73ndash88 URL httpdxdoiorg101080096031072013866202

doi101080096031072013866202

Coelho C A De Mello J M amp Rezende L (2013) Do Public Banks Compete with Private

Banks Evidence from Concentrated Local Markets in Brazil Journal of Money Credit and Bank-

ing 45 1581ndash1615 URL httponlinelibrarywileycomdoi101111jmcb12063abstract

doi101111jmcb12063

Cubillas E amp Suarez N (2018) Bank market power and lending during the global financial crisis Jour-

nal of International Money and Finance 89 1ndash22 URL httpwwwsciencedirectcomscience

articlepiiS0261560618303048 doihttpsdoiorg101016jjimonfin201808003

Das A amp Kumbhakar S C (2016) Markup and efficiency of Indian banks an input distance func-

tion approach Empirical Economics (pp 1ndash31) URL httplinkspringercomarticle101007

s00181-015-1062-4 doi101007s00181-015-1062-4

Ely R Tabak B amp Teixeira A (2019) Heterogeneous effects of the implementation of macroprudential

policies on bank risk MPRA Paper No94546

Freixas X Laeven L amp Peydro J-L (2015) Systemic Risk Crises and Macroprudential Regulation

Mit Press URL httpwwwjstororgstablejctt17kk82g

Galati G amp Moessner R (2013) Macroprudential policy ndash a literature review Jour-

nal of Economic Surveys 27 846ndash878 URL httpsonlinelibrarywileycom

27

doiabs101111j1467-6419201200729x doi101111j1467-6419201200729x

arXivhttpsonlinelibrarywileycomdoipdf101111j1467-6419201200729x

Gropp R Mosk T Ongena S amp Wix C (2018) Banks Response to Higher Cap-

ital Requirements Evidence from a Quasi-Natural Experiment The Review of Finan-

cial Studies 32 266ndash299 URL httpsdoiorg101093rfshhy052 doi101093rfshhy052

arXivhttpoupprodsislanrfsarticle-pdf32126627185080hhy052pdf

Hyde C E amp Perloff J M (1995) Can market power be estimated Review of Industrial Organization 10

465ndash485 URL httplinkspringercomarticle101007BF01024231 doi101007BF01024231

Igan D amp Kang H (2011) Do loan-to-value and debt-to-income limits work evidence from korea IMF

Working Papers (pp 1ndash34)

Jimenez G Ongena S Peydro J-L amp Saurina J (2017) Macroprudential policy countercyclical bank

capital buffers and credit supply Evidence from the spanish dynamic provisioning experiments Journal

of Political Economy 125 2126ndash2177 URL httpsdoiorg101086694289 doi101086694289

arXivhttpsdoiorg101086694289

Jondrow J Knox Lovell C A Materov I S amp Schmidt P (1982) On the estimation of technical

inefficiency in the stochastic frontier production function model Journal of Econometrics 19 233ndash

238 URL httpwwwsciencedirectcomsciencearticlepii0304407682900045 doi101016

0304-4076(82)90004-5

Klingelhoger J amp Sun R (2019) Macruprudential policy central banks and financial stability Evidence

from china Journal of International Money and Finance 93 19ndash41 URL httpsdoiorg101016

jjimonfin201812015

Kumbhakar S C (2012) Specification and estimation of primal production models European Journal

of Operational Research 217 509ndash518 URL httpwwwsciencedirectcomsciencearticlepii

S0377221711008939 doi101016jejor201109043

Kumbhakar S C Baardsen S amp Lien G (2012) A New Method for Estimating Market Power with

an Application to Norwegian Sawmilling Review of Industrial Organization 40 109ndash129 URL http

linkspringercomarticle101007s11151-012-9339-7 doi101007s11151-012-9339-7

Lerner A P (1934) The Concept of Monopoly and the Measurement of Monopoly Power The Review

of Economic Studies 1 157ndash175 URL httprestudoxfordjournalsorglookupdoi102307

2967480 doi1023072967480

Lim C H Costa A Columba F Kongsamut P Otani A Saiyid M Wezel T amp Wu X (2011)

Macroprudential policy what instruments and how to use them lessons from country experiences IMF

working papers (pp 1ndash85)

Lopez R A He X amp Azzam A (2018) Stochastic frontier estimation of market

28

power in the food industries Journal of Agricultural Economics 69 3ndash17 URL https

onlinelibrarywileycomdoiabs1011111477-955212219 doi1011111477-955212219

arXivhttpsonlinelibrarywileycomdoipdf1011111477-955212219

Lucinda C R (2010) Competition in the Brazilian loan market an empirical analysis Estudos Economicos

(Sao Paulo) 40 831ndash858 URL httpwwwscielobrscielophpscript=sci_abstractamppid=

S0101-41612010000400004amplng=enampnrm=isoamptlng=en doi101590S0101-41612010000400004

Moreno R (2011) Policymaking from arsquomacroprudentialrsquoperspective in emerging market economies

Nakane M I (2002) A test of competition in brazilian banking Estudos Economicos (Sao Paulo) 32

203ndash224 URL httpwwwrevistasuspbreearticleview117799

Panzar J C amp Rosse J N (1987) Testing for rdquomonopolyrdquo equilibrium The Journal of Industrial

Economics 35 443ndash456 URL httpwwwjstororgstable2098582 doi1023072098582

Richter B Schularick M amp Shim I (2019) The costs of macroprudential policy Journal of Inter-

national Economics 118 263 ndash 282 URL httpwwwsciencedirectcomsciencearticlepii

S0022199618302617 doihttpsdoiorg101016jjinteco201811011

Schmalensee R (1989) Chapter 16 inter-industry studies of structure and performance In Hand-

book of Industrial Organization (pp 951ndash1009) Elsevier BV URL httpdxdoiorg101016

s1573-448x(89)02004-2 doi101016s1573-448x(89)02004-2

Silva M S d () Avaliacao do processo de concentracao-competicao no setor bancario brasileiro URL

httpwwwbcbgovbrpecwpsporttd377pdf

Tabak B amp Gomes G (2015) The impact of market power at bank level in risk-taking The brazilian

case International Review of Financial Analysis 40 154ndash165

Tabak B M Fazio D M amp Cajueiro D O (2012) The relationship between banking market competition

and risk-taking Do size and capitalization matter 36 3366ndash3381 URL httpwwwsciencedirect

comsciencearticlepiiS0378426612002026 doi101016jjbankfin201207022

Wong T Fong T Li K-f amp Choi H (2011) Loan-to-value ratio as a macroprudential tool-hong kongrsquos

experience and cross-country evidence

Zhang L amp Zoli E (2016) Leaning against the wind Macroprudential policy in asia Journal of Asian

Economics 42 33ndash52

29

Figure 1 Evolution of the Herfindahl Index (HHI) over time using credit and total assets for theBrazilian banking system

30

Figure 2 Marginal effects of HHI and prudential instruments (Capital Buffer Capital RequirementLTV Reserve Requirement (Foreign) Reserve Requirement (domestic) and cumulative prud) on the

mark-up u component

31

Figure 3 Frequency distribution of Lerner indexes for each model and density estimation Kernel by typeof control

32

Figure 4 Lerner indexes according to the size (market share) of banksrsquo assets

33

Figure 5 Average Lerner indices for each model between 2000q2 and 2014q4

34

Figure 6 Average Lerner indices estimated for public private national and private foreign banks between2000q2 and 2014q4

35

Figure 7 Frequency distribution of the returns to scale indexes for each model and density estimationKernel by type of control

36

Table 1 Variables used to IDF estimatation

Variabel Description SourceBasic variables

TR Total Revenue = Gross Insterest Income (a) + Bank-ing Service Fee Income (d1) + Banking Fee Income(d2) + Other Operating Income (d7)

Inc statIFData

TC Total Cost = Interest Expenses (b) + Personnel Ex-penses (d3) + Administrative Expenses (d4) + TaxExpenses (d5) + Other Operating Expenses (d8)

Inc statIFData

Y Loan Lease and Other Credit Operations by RiskLevel

SummaryIFData

x1 Personnel Expenses (d3) Inc statIFDatax2 Funding (e) LiabilitiesIFDatax3 Equity (j) LiabilitiesIFData

Model variabelslnRC Log of Revenue-Cost ratiolnY Log of total loanlnx1 Log of personnel expenses and equity ratio (x1x3)lnx2 Log of funding and equity ratio (x2x3)T Time

Prudential variables - Deterministic mark-up parametersHHIt HHIt =

sumS2it where Sit

2 is market share of totalasset of bank i on time t

Inc statIFData

cb cumulative change of capital buffer Cerutti et al (2016)cr cumulative change of capital requirement Cerutti et al (2016)ltv cumulative change of loan-to-value Cerutti et al (2016)

rr foreign cumulative change of reserve requirement (foreigncurrency)

Cerutti et al (2016)

rr local cumulative change of reserve requirement (domesticcurrency)

Cerutti et al (2016)

37

Table 2 Results of IDF estimation

Parameters VariablesEstimates

Model Model Model Model Model Model(1) (2) (3) (4) (5) (6)

Parametros da funcao insumo distanciaαY Y lnY -0013 -0003 -0004 -0012 -0011 -0005

(000) (000) (000) (000) (000) (000)α1Y lnx1 -0096 -0095 -0094 -0094 -0096 -0090

(001) (001) (001) (001) (001) (001)α2Y lnx2 -0019 -0022 -0022 -0019 -0020 -0021

(001) (001) (001) (001) (001) (001)αY T T -0000 -0000 -0000 -0000 -0000 -0000

(000) (000) (000) (000) (000) (000)αY const 1153 1010 1035 1134 1129 1057

(005) (007) (005) (005) (005) (006)

Deterministic Mark-up parametersδ1 HHI 764157

(12270)δ1 Capital

Buffer7586(065)

δ2 CapitalReq

4696(160)

δ1 Loan-to-value38511(671)

δ1 ResR(foreign)10730(433)

δ2 ResR(local)2869(126)

δ1 Cum Prud3237(020)

δ0 const minus10601minus10194minus5306 minus9866 minus8577 minus4993(032) (2064) (316) (079) (119) (122)

Distribution of u and vσ2u 2840 1418 1620 2643 2441 1593σ2v 0118 0121 0120 0118 0118 0120λ 2402 1172 1354 2233 2065 1325Log Lik 887404 922033 918606 896019 891991 907817

EstimatesEstimates of Mark-up (u)Avg 0075 0065 0068 0074 0075 00691st quartile 0052 0038 0051 0051 0051 0044Median 0062 0048 0060 0060 0061 00543st quartile 0080 0074 0079 0079 0079 0075std-dev 0053 0054 0053 0053 0054 0054

Note p lt 010 p lt 005 and p lt 001

38

Table 3 Estimates of Lerner index general and by type of control

EstimatesModel Model Model Model Model Model

(1) (2) (3) (4) (5) (6)Mark-up (L) generalAverage 0058 0051 0053 0057 0058 0053std-dev 0032 0034 0034 0032 0032 00331st quartile 0043 0031 0034 0041 0042 0036Median 0051 0039 0044 0050 0050 00453st quartile 0063 0060 0059 0063 0063 0060Mark-up (L) State-owned banksAverage 0057 0047 0049 0056 0056 0050std-dev 0018 0017 0017 0018 0016 00161st quartile 0047 0035 0038 0045 0046 0040Median 0054 0041 0046 0053 0053 00463st quartile 0064 0056 0056 0064 0063 0057Mark-up (L) National banksAverage 0057 0052 0054 0057 0057 0054std-dev 0034 0038 0038 0035 0035 00371st quartile 0041 0030 0033 0040 0041 0035Median 0050 0038 0043 0048 0049 00443st quartile 0061 0061 0060 0061 0062 0060Mark-up (L) Foreign banksAverage 0061 0050 0053 0059 0060 0054std-dev 0034 0033 0032 0034 0034 00321st quartile 0042 0031 0034 0041 0042 0036Median 0052 0040 0044 0051 0051 00453st quartile 0068 0059 0060 0066 0066 0061

Table 4 Estimates of returns to scale by control type and general

ModelState-owned

banksNational

banksForeignbanks

General std-dev Min Max

1 0944 0824 0842 0848 0073 0665 11242 0940 0829 0843 0851 0066 0690 10733 0938 0827 0842 0849 0066 0689 10764 0941 0824 0842 0848 0071 0671 11115 0942 0824 0841 0848 0072 0669 11136 0937 0829 0844 0850 0065 0692 1073

39

Appendix A Attachment Tables

Table A5 Cumulative change on Prudential Measures intensity

TimeCapitalBuffer 2

(cb)

CapitalReq(cr)

Loan-to-Value(ltv)

Reserve Reqlocal curr

(RR local)

Reserve Reqforeign cur

(RR foreign)

CumulativePrudential 3

(Cum Prud)2000q2 -1 0 0 0 -2 -32000q4 -1 0 0 0 -2 -32001q2 -1 0 0 0 -2 -32001q4 0 0 0 0 -1 -12002q2 0 0 0 0 0 02002q4 2 0 0 0 2 42003q2 0 0 0 0 3 32003q4 0 0 0 0 2 22004q2 0 0 0 0 2 22004q4 0 0 0 0 2 22005q2 0 0 0 0 2 22005q4 0 0 0 0 2 22006q2 0 0 0 0 2 22006q4 0 0 0 0 2 22007q2 2 0 0 0 2 42007q4 2 0 0 0 2 42008q2 2 0 0 0 2 42008q4 2 0 0 0 1 32009q2 2 0 0 0 0 22009q4 2 0 0 0 -1 12010q2 2 0 0 0 1 32010q4 3 0 0 0 3 62011q2 3 0 0 1 3 72011q4 4 0 0 2 3 92012q2 3 1 0 2 3 92012q4 3 1 0 1 2 72013q2 3 2 0 0 2 72013q4 3 2 1 0 2 82014q2 3 2 1 0 2 82014q4 2 2 1 0 3 82Sum of capital buffer and others 3Aggregate measure (It is the sum of the change of all other instrument)

40

Table A6 Estimates of Lerner index and return to scale by bank - Model (1)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0042 0082 0009 0940 0007 -85Banrisul S 0055 0041 0084 0009 0952 0008 -635BEC S 0048 0021 0077 0016 0844 0009 -1756BRB S 0058 0033 0100 0015 0961 0003 -1533BB S 0058 0039 0098 0012 0990 0006 -173Caixa Economica Federal S 0063 0051 0174 0022 1052 0004 1458B da Amazonia SA S 0057 0016 0124 0023 0844 0008 -2028B do Estado Do Para SA S 0061 0026 0110 0022 0936 0004 -1764B do Est do Maranhao SA S 0055 0046 0065 0006 0935 0014 -455B do Est do Piauı SA - Bep S 0057 0030 0155 0029 0862 0004 -326B do Estado De Sergipe SA S 0061 0024 0135 0022 0947 0004 -1453Nossa Caixa - N Banco SA S 0057 0036 0090 0013 0981 0004 -444Bradesco N 0056 0038 0114 0015 0925 0004 -1945Itau N 0059 0031 0220 0033 0901 0003 -3797Safra N 0053 0037 0085 0009 0885 0003 -4215Unibanco N 0055 0037 0088 0014 0897 0001 -7054Mercantil Do Brasil N 0057 0027 0077 0011 0945 0002 -2527BBM N 0076 0016 0300 0065 0783 0005 -4464BMC N 0052 0030 0079 0012 0845 0003 -4703BMG N 0065 0017 0208 0045 0779 0003 -729JMalucelli N 0047 0022 0069 0013 0718 0003 -8765PEBB N 0065 0017 0181 0047 0698 0008 -3914SS N 0057 0034 0220 0037 0799 0007 -2839Sofisa N 0054 0021 0092 0020 0804 0002 -9903BIC N 0060 0034 0236 0040 0855 0005 -276Schahin N 0056 0028 0214 0035 0835 0006 -262Stock N 0081 0020 0267 0067 0817 0006 -3107Pine N 0052 0022 0108 0019 0808 0004 -545Socopa N 0056 0027 0120 0017 0886 0003 -3806Intercap N 0060 0023 0212 0037 0812 0007 -2851Indusval N 0062 0030 0246 0043 0857 0005 -3139Bonsucesso N 0052 0020 0092 0018 0779 0005 -4033Industrial do Brasil N 0051 0031 0081 0016 0807 0002 -952Votorantim N 0052 0037 0107 0017 0819 0009 -2117Cacique N 0053 0024 0071 0014 0774 0005 -4621Inter Amex N 0055 0037 0068 0010 0837 0008 -2158Alfa N 0048 0041 0059 0005 0806 0002 -11303Rendimento N 0053 0022 0080 0012 0872 0008 -1562Bancoob N 0052 0046 0056 0003 0856 0003 -5061Original N 0085 0017 0279 0090 0729 0007 -4163Banco Intermedium SA N 0052 0028 0070 0015 0743 0006 -3973

Table A6 ndash Continue on next page

41

Table A6 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0225 0049 0761 0003 -7509Banco BBN SA N 0053 0027 0077 0014 0817 0012 -1509B Cooperativo Sicredi SA N 0052 0043 0062 0005 0875 0005 -2477B Cooperativo do Brasil SA N 0056 0046 0142 0020 0910 0006 -1479Banco Topazio SA N 0060 0035 0110 0027 0834 0006 -2966Banco Gerador SA N 0069 0045 0122 0028 0852 0008 -1968Banco Randon SA N 0109 0023 0320 0109 0783 0005 -4158Parana Banco SA N 0050 0026 0108 0020 0784 0008 -2799Banco Triangulo SA N 0055 0028 0091 0020 0833 0004 -4201Banco Guanabara SA N 0052 0024 0169 0025 0777 0004 -5588Banco Cedula SA N 0068 0012 0339 0061 0731 0003 -10236Banco Cacique SA N 0077 0028 0248 0077 0785 0016 -1309B Luso Brasileiro SA N 0065 0027 0208 0043 0849 0004 -349Banco Pecunia SA N 0047 0039 0060 0006 0770 0003 -7086Banco Zogbi SA N 0051 0038 0067 0011 0778 0001 -15193Banco Daycoval SA N 0054 0023 0131 0026 0783 0004 -5522B John Deere SA N 0059 0018 0133 0033 0756 0003 -7955Banco AJ Renner SA N 0053 0025 0081 0015 0827 0006 -2742ABN Amro F 0056 0039 0079 0014 0914 0002 -427Chase F 0068 0014 0228 0049 0790 0008 -2678LLoyds F 0053 0027 0064 0012 0825 0003 -5159BankBoston F 0057 0040 0099 0020 0902 0006 -1638Santander Brasil F 0057 0034 0097 0017 0890 0008 -146Citibank F 0059 0026 0153 0028 0875 0003 -4039BNL F 0055 0041 0097 0019 0840 0006 -2767Sudameris F 0056 0048 0065 0005 0966 0012 -297Societe Generale F 0060 0024 0153 0031 0826 0006 -299Europeu F 0054 0032 0073 0013 0848 0007 -2287ABC-Brasil F 0052 0025 0082 0014 0815 0003 -6207Dresdner F 0083 0017 0280 0074 0815 0006 -3234AGF Braseg F 0051 0031 0100 0016 0794 0004 -4923HSBC F 0057 0046 0092 0010 0971 0006 -466Deutsche F 0068 0013 0160 0036 0857 0004 -3335BNP Paribas F 0050 0037 0068 0007 0824 0005 -3665Barclays F 0052 0024 0089 0021 0771 0008 -2787Rabobank Int Brasil SA F 0058 0022 0166 0028 0842 0003 -5284B Nat de Paris Br SA F 0063 0023 0109 0033 0811 0006 -3331Ibibank SA - Banco Multiplo F 0059 0012 0106 0024 0781 0015 -1441Dresdner Bank - B Multiplo F 0086 0016 0244 0068 0768 0008 -2746Banco Westlb Do Brasil SA F 0064 0034 0108 0027 0839 0010 -1626Banco GE Capital SA F 0067 0032 0247 0047 0852 0010 -1527B Com Uruguai SA F 0072 0020 0192 0049 0830 0003 -52281S - State-owned bank N - National bank and F - Foreign bank

42

Table A7 Estimates of Lerner index and return to scale by bank - Model (2)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0049 0032 0085 0016 0944 0008 -716Banrisul S 0049 0032 0106 0017 0939 0008 -75BEC S 0032 0016 0046 0008 0860 0009 -1489BRB S 0049 0030 0112 0017 0961 0002 -1681BB S 0049 0032 0091 0016 0948 0006 -845Caixa Economica Federal S 0052 0034 0081 0014 1012 0003 382B da Amazonia SA S 0053 0015 0140 0028 0847 0008 -1922B do Estado Do Para SA S 0046 0029 0063 0009 0952 0005 -963B do Est do Maranhao SA S 0036 0029 0045 0005 0963 0016 -235B do Est do Piauı SA - Bep S 0036 0023 0071 0011 0888 0005 -2314B do Estado De Sergipe SA S 0050 0020 0155 0024 0962 0004 -1043Nossa Caixa - N Banco SA S 0039 0027 0074 0011 0972 0005 -601Bradesco N 0050 0028 0116 0023 0890 0004 -2618Itau N 0052 0024 0222 0037 0869 0003 -4269Safra N 0046 0028 0100 0017 0867 0003 -5042Unibanco N 0035 0028 0054 0007 0873 0001 -8511Mercantil Do Brasil N 0051 0029 0093 0019 0941 0002 -2837BBM N 0063 0012 0213 0048 0790 0005 -4494BMC N 0034 0023 0049 0007 0851 0003 -4266BMG N 0065 0015 0233 0057 0776 0004 -6135JMalucelli N 0052 0018 0080 0016 0720 0003 -9566PEBB N 0037 0014 0108 0025 0732 0009 -3086SS N 0056 0024 0236 0046 0797 0007 -2849Sofisa N 0052 0018 0107 0028 0808 0002 -8115BIC N 0057 0026 0259 0050 0850 0006 -2531Schahin N 0047 0022 0225 0041 0845 0007 -2359Stock N 0078 0017 0287 0071 0843 0006 -2782Pine N 0048 0018 0114 0023 0811 0004 -4973Socopa N 0050 0022 0136 0024 0908 0003 -3089Intercap N 0051 0019 0133 0031 0832 0006 -2759Indusval N 0061 0023 0267 0052 0866 0006 -2437Bonsucesso N 0050 0017 0109 0026 0791 0006 -3655Industrial do Brasil N 0044 0024 0079 0015 0816 0002 -8095Votorantim N 0048 0025 0120 0026 0807 0007 -2721Cacique N 0033 0020 0039 0006 0782 0005 -4597Inter Amex N 0035 0025 0045 0007 0844 0006 -2419Alfa N 0042 0029 0069 0013 0801 0002 -12139Rendimento N 0049 0019 0077 0015 0889 0008 -1394Bancoob N 0065 0057 0073 0006 0855 0003 -4199Original N 0099 0019 0299 0096 0732 0006 -4473Banco Intermedium SA N 0062 0032 0081 0019 0754 0006 -4393

Table A7 ndash Continue on next page

43

Table A7 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0059 0016 0239 0051 0778 0003 -6944Banco BBN SA N 0035 0020 0053 0009 0834 0011 -1466B Cooperativo Sicredi SA N 0045 0032 0070 0011 0881 0005 -2581B Cooperativo do Brasil SA N 0045 0029 0147 0025 0922 0006 -1274Banco Topazio SA N 0076 0043 0138 0038 0861 0005 -2569Banco Gerador SA N 0089 0054 0153 0037 0874 0008 -1645Banco Randon SA N 0122 0029 0335 0113 0803 0005 -388Parana Banco SA N 0033 0020 0062 0011 0800 0009 -234Banco Triangulo SA N 0052 0022 0105 0027 0841 0004 -4148Banco Guanabara SA N 0046 0019 0091 0020 0793 0004 -5561Banco Cedula SA N 0062 0011 0359 0067 0749 0003 -9911Banco Cacique SA N 0049 0020 0157 0048 0791 0016 -1315Banco Luso Brasileiro SA N 0066 0022 0241 0055 0870 0005 -2851Banco Pecunia SA N 0032 0027 0036 0003 0787 0003 -6876Banco Zogbi SA N 0032 0026 0037 0005 0784 0002 -13006Banco Daycoval SA N 0053 0019 0139 0036 0784 0004 -6065Banco John Deere SA N 0035 0016 0073 0016 0761 0003 -8278Banco AJ Renner SA N 0047 0021 0083 0015 0844 0006 -2553ABN Amro F 0035 0027 0047 0006 0889 0002 -7231Chase F 0054 0013 0157 0033 0804 0007 -2702LLoyds F 0033 0020 0043 0008 0821 0003 -5429BankBoston F 0036 0026 0060 0011 0888 0006 -1917Santander Brasil F 0055 0025 0115 0030 0864 0008 -1647Citibank F 0051 0020 0132 0025 0860 0003 -4735BNL F 0036 0026 0062 0012 0843 0005 -2959Sudameris F 0036 0031 0040 0004 0949 0011 -468Societe Generale F 0051 0018 0104 0024 0835 0007 -2454Europeu F 0034 0025 0041 0006 0859 0007 -2076ABC-Brasil F 0043 0026 0086 0015 0813 0003 -5797Dresdner F 0050 0014 0190 0046 0824 0004 -3975AGF Braseg F 0044 0024 0068 0014 0810 0005 -4109HSBC F 0052 0031 0110 0021 0948 0007 -776Deutsche F 0054 0012 0166 0030 0866 0005 -2754BNP Paribas F 0049 0028 0073 0013 0818 0004 -4092Barclays F 0065 0028 0121 0027 0811 0005 -4028Rabobank Int Brasil SA F 0047 0017 0102 0017 0845 0003 -4605B Nat de Paris Brasil SA F 0036 0017 0054 0013 0819 0005 -3304Ibibank SA - Banco Multiplo F 0043 0010 0114 0025 0782 0013 -1623Dresdner Bank - B Multiplo F 0096 0015 0270 0076 0785 0007 -2924Banco Westlb Do Brasil SA F 0041 0026 0062 0013 0853 0010 -154Banco GE Capital SA F 0054 0026 0253 0049 0862 0010 -1444B Com Uruguai SA F 0070 0017 0220 0058 0849 0003 -4471S - State-owned bank N - National bank and F - Foreign bank

44

Table A8 Estimates of Lerner index and return to scale by bank - Model (3)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0034 0090 0016 0941 0008 -772Banrisul S 0051 0032 0108 0016 0938 0008 -772BEC S 0035 0018 0051 0009 0856 0009 -1562BRB S 0052 0032 0122 0018 0958 0002 -1793BB S 0052 0035 0085 0015 0951 0006 -809Caixa Economica Federal S 0054 0039 0098 0014 1015 0003 465B da Amazonia SA S 0053 0014 0113 0024 0845 0008 -1977B do Estado Do Para SA S 0049 0028 0071 0010 0947 0005 -1117B do E do Maranhao SA S 0041 0032 0059 0008 0957 0015 -285B do E do Piauı SA - Bep S 0041 0028 0086 0014 0882 0005 -2518B do Estado De Sergipe SA S 0052 0021 0145 0022 0957 0004 -1182Nossa Caixa - N Banco SA S 0045 0029 0081 0015 0971 0005 -651Bradesco N 0052 0029 0101 0021 0893 0004 -2614Itau N 0054 0025 0203 0034 0872 0003 -4328Safra N 0048 0029 0093 0015 0869 0003 -5008Unibanco N 0041 0028 0067 0010 0874 0001 -8514Mercantil Do Brasil N 0053 0026 0095 0018 0939 0002 -29BBM N 0067 0013 0250 0056 0789 0005 -4501BMC N 0038 0024 0069 0010 0849 0003 -4408BMG N 0067 0015 0233 0058 0776 0004 -6374JMalucelli N 0052 0022 0087 0016 0720 0003 -9426PEBB N 0045 0014 0158 0040 0727 0009 -3192SS N 0057 0025 0231 0046 0797 0007 -287Sofisa N 0053 0018 0116 0026 0807 0002 -8444BIC N 0059 0030 0250 0049 0850 0006 -2596Schahin N 0048 0023 0220 0038 0842 0007 -2424Stock N 0083 0017 0304 0077 0838 0006 -2873Pine N 0049 0019 0105 0020 0810 0004 -5103Socopa N 0050 0026 0111 0018 0903 0003 -3253Intercap N 0055 0020 0196 0036 0828 0006 -283Indusval N 0062 0029 0282 0052 0863 0005 -2588Bonsucesso N 0051 0017 0118 0025 0789 0006 -3771Industrial do Brasil N 0046 0025 0086 0015 0815 0002 -8341Votorantim N 0050 0027 0128 0027 0809 0007 -2664Cacique N 0037 0020 0048 0009 0781 0005 -4645Inter Amex N 0039 0026 0058 0009 0842 0006 -2468Alfa N 0044 0031 0072 0011 0801 0002 -11998Rendimento N 0049 0022 0078 0011 0885 0008 -1463Bancoob N 0066 0057 0077 0007 0854 0003 -4342Original N 0102 0019 0301 0096 0730 0006 -4526Banco Intermedium SA N 0059 0027 0083 0020 0752 0006 -4354

Table A8 ndash Continue on next page

45

Table A8 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0017 0217 0054 0776 0003 -7084Banco BBN SA N 0038 0022 0058 0010 0831 0011 -1492B Cooperativo Sicredi SA N 0047 0035 0071 0010 0879 0005 -259B Cooperativo do Brasil SA N 0046 0035 0128 0020 0919 0006 -1339Banco Topazio SA N 0075 0036 0153 0041 0855 0005 -2657Banco Gerador SA N 0091 0057 0144 0034 0869 0008 -173Banco Randon SA N 0124 0029 0332 0112 0799 0005 -4023Parana Banco SA N 0036 0021 0071 0012 0797 0008 -2452Banco Triangulo SA N 0053 0023 0115 0027 0839 0004 -4256Banco Guanabara SA N 0047 0020 0100 0019 0790 0004 -561Banco Cedula SA N 0066 0012 0362 0068 0747 0003 -10082Banco Cacique SA N 0063 0026 0231 0074 0789 0016 -1336Banco Luso Brasileiro SA N 0066 0026 0249 0053 0865 0005 -2985Banco Pecunia SA N 0034 0029 0041 0004 0784 0003 -7038Banco Zogbi SA N 0036 0027 0046 0006 0782 0002 -13399Banco Daycoval SA N 0054 0019 0131 0034 0784 0004 -607Banco John Deere SA N 0039 0015 0083 0018 0761 0003 -8316Banco AJ Renner SA N 0049 0024 0073 0013 0840 0006 -2621ABN Amro F 0041 0030 0066 0009 0890 0002 -6866Chase F 0059 0013 0173 0039 0801 0007 -2733LLoyds F 0038 0021 0055 0010 0821 0003 -5484BankBoston F 0040 0028 0063 0012 0888 0006 -1931Santander Brasil F 0056 0028 0107 0027 0866 0008 -1663Citibank F 0052 0022 0123 0023 0860 0003 -4735BNL F 0039 0028 0063 0014 0841 0005 -2966Sudameris F 0041 0036 0052 0006 0948 0011 -473Societe Generale F 0052 0020 0103 0022 0833 0006 -2579Europeu F 0038 0030 0049 0007 0856 0007 -2153ABC-Brasil F 0046 0029 0079 0014 0813 0003 -5935Dresdner F 0055 0014 0212 0052 0822 0005 -3913AGF Braseg F 0046 0027 0071 0014 0806 0005 -4276HSBC F 0053 0032 0101 0019 0949 0007 -784Deutsche F 0058 0013 0141 0029 0863 0005 -2878BNP Paribas F 0051 0030 0074 0012 0818 0004 -4118Barclays F 0066 0025 0130 0030 0805 0005 -4123Rabobank Int Brasil SA F 0049 0019 0109 0018 0844 0003 -4752B Nat de Paris Brasil SA F 0041 0019 0069 0018 0817 0005 -3368Ibibank SA - Banco Multiplo F 0046 0010 0095 0021 0781 0014 -1617Dresdner Bank - B Multiplo F 0093 0017 0282 0072 0782 0008 -2899Banco Westlb Do Brasil SA F 0044 0027 0069 0015 0850 0009 -1591Banco GE Capital SA F 0055 0026 0249 0046 0859 0009 -1489B Com Uruguai SA F 0071 0017 0228 0056 0845 0003 -46241S - State-owned bank N - National bank and F - Foreign bank

46

Table A9 Estimates of Lerner index and return to scale by bank - Model (4)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0054 0041 0078 0011 0939 0007 -873Banrisul S 0055 0040 0106 0014 0948 0008 -692BEC S 0046 0020 0072 0014 0846 0009 -1746BRB S 0057 0032 0094 0016 0959 0002 -1673BB S 0057 0038 0095 0014 0981 0006 -33Caixa Economica Federal S 0061 0049 0165 0021 1042 0003 1249B da Amazonia SA S 0056 0015 0117 0022 0844 0008 -2047B do Estado Do Para SA S 0059 0025 0103 0020 0936 0004 -1701B do E Do Maranhao SA S 0052 0044 0062 0005 0936 0014 -448B do E Do Piauı SA - Bep S 0054 0029 0147 0028 0865 0004 -3201B do Estado De Sergipe SA S 0061 0023 0168 0026 0947 0004 -1484Nossa Caixa - N Banco SA S 0054 0035 0085 0012 0977 0004 -547Bradesco N 0056 0036 0107 0017 0919 0004 -2123Itau N 0058 0030 0212 0032 0896 0003 -3979Safra N 0052 0035 0107 0013 0882 0003 -445Unibanco N 0052 0035 0082 0013 0892 0001 -7446Mercantil Do Brasil N 0057 0027 0093 0015 0942 0002 -2687BBM N 0075 0015 0294 0064 0784 0005 -4512BMC N 0050 0029 0074 0011 0846 0003 -472BMG N 0065 0016 0202 0047 0779 0003 -7192JMalucelli N 0048 0022 0071 0014 0720 0003 -8923PEBB N 0061 0016 0172 0044 0704 0008 -382SS N 0056 0033 0213 0037 0799 0007 -2875Sofisa N 0053 0020 0087 0019 0805 0002 -9731BIC N 0061 0033 0269 0048 0854 0005 -2768Schahin N 0053 0027 0205 0034 0836 0006 -2627Stock N 0081 0020 0265 0068 0820 0006 -3122Pine N 0052 0022 0118 0021 0808 0004 -5467Socopa N 0054 0026 0114 0016 0888 0003 -3785Intercap N 0057 0023 0203 0035 0815 0006 -2877Indusval N 0062 0029 0239 0043 0857 0005 -3085Bonsucesso N 0052 0019 0088 0018 0782 0005 -403Industrial do Brasil N 0050 0030 0076 0015 0809 0002 -9427Votorantim N 0051 0036 0102 0017 0817 0008 -2222Cacique N 0050 0023 0067 0013 0776 0005 -4659Inter Amex N 0052 0035 0064 0009 0837 0007 -2226Alfa N 0048 0039 0071 0007 0805 0002 -11484Rendimento N 0052 0022 0076 0013 0874 0008 -1571Bancoob N 0057 0045 0071 0011 0855 0003 -5022Original N 0094 0017 0278 0090 0730 0006 -4242Banco Intermedium SA N 0049 0027 0065 0014 0746 0006 -4054

Table A9 ndash Continue on next page

47

Table A9 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0019 0220 0050 0764 0003 -7516Banco BBN SA N 0050 0027 0072 0013 0819 0012 -1529B Cooperativo Sicredi SA N 0051 0041 0068 0006 0875 0005 -2551B Cooperativo do Brasil SA N 0053 0044 0134 0018 0910 0006 -151Banco Topazio SA N 0066 0035 0128 0036 0837 0005 -2981Banco Gerador SA N 0082 0045 0157 0043 0854 0007 -1967Banco Randon SA N 0106 0026 0312 0105 0786 0005 -4204Parana Banco SA N 0048 0025 0102 0018 0787 0008 -2768Banco Triangulo SA N 0054 0027 0088 0021 0834 0004 -427Banco Guanabara SA N 0051 0023 0161 0025 0780 0004 -5659Banco Cedula SA N 0069 0012 0360 0065 0735 0003 -1028Banco Cacique SA N 0073 0027 0240 0075 0786 0016 -1327Banco Luso Brasileiro SA N 0065 0026 0242 0047 0852 0004 -346Banco Pecunia SA N 0045 0037 0056 0006 0773 0003 -7139Banco Zogbi SA N 0048 0036 0064 0010 0779 0001 -15057Banco Daycoval SA N 0055 0022 0126 0030 0784 0004 -568Banco John Deere SA N 0056 0018 0125 0031 0757 0003 -8084Banco AJ Renner SA N 0051 0025 0077 0013 0829 0006 -2763ABN Amro F 0053 0038 0074 0013 0909 0002 -4803Chase F 0066 0014 0220 0046 0793 0008 -2711LLoyds F 0050 0026 0060 0011 0825 0003 -5323BankBoston F 0054 0038 0092 0018 0899 0006 -1734Santander Brasil F 0056 0033 0098 0019 0885 0007 -1529Citibank F 0059 0025 0145 0030 0872 0003 -421BNL F 0052 0039 0091 0018 0840 0006 -2854Sudameris F 0053 0046 0062 0005 0961 0011 -352Societe Generale F 0058 0023 0144 0028 0827 0006 -2968Europeu F 0052 0031 0069 0012 0849 0007 -23ABC-Brasil F 0051 0028 0091 0015 0815 0003 -6225Dresdner F 0078 0017 0271 0071 0816 0005 -339AGF Braseg F 0050 0030 0094 0015 0797 0004 -4873HSBC F 0057 0045 0116 0016 0966 0006 -562Deutsche F 0066 0013 0151 0034 0858 0004 -3316BNP Paribas F 0050 0036 0071 0010 0823 0005 -3772Barclays F 0057 0024 0102 0025 0777 0007 -3003Rabobank Int Brasil SA F 0057 0021 0157 0026 0842 0003 -5266B Nat de Paris Brasil SA F 0059 0023 0102 0030 0812 0006 -3387Ibibank SA - Banco Multiplo F 0056 0012 0100 0023 0781 0015 -148Dresdner Bank - B Multiplo F 0084 0016 0237 0064 0771 0008 -2798Banco Westlb Do Brasil SA F 0061 0033 0101 0025 0841 0010 -1646Banco GE Capital SA F 0063 0031 0238 0044 0853 0010 -1548B Com Uruguai SA F 0074 0020 0226 0056 0833 0003 -51921S - State-owned bank N - National bank and F - Foreign bank

48

Table A10 Estimates of Lerner index and return to scale by bank - Model (5)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0043 0093 0012 0940 0007 -834Banrisul S 0054 0041 0083 0009 0949 0008 -668BEC S 0046 0020 0075 0014 0846 0009 -1719BRB S 0058 0032 0121 0017 0960 0002 -1607BB S 0056 0037 0087 0010 0981 0006 -321Caixa Economica Federal S 0061 0050 0156 0019 1044 0003 1282B da Amazonia SA S 0057 0016 0115 0023 0843 0008 -2023B do Estado Do Para SA S 0059 0027 0102 0020 0938 0004 -1608B do E Do Maranhao SA S 0052 0042 0064 0006 0939 0015 -418B do E Do Piauı SA - Bep S 0054 0029 0138 0025 0866 0004 -3097B do Estado De Sergipe SA S 0059 0024 0136 0020 0949 0004 -1404Nossa Caixa - N Banco SA S 0055 0036 0088 0013 0979 0004 -494Bradesco N 0056 0037 0108 0016 0918 0004 -2108Itau N 0058 0031 0213 0033 0894 0003 -3968Safra N 0052 0036 0086 0010 0881 0003 -4388Unibanco N 0053 0037 0085 0013 0892 0001 -7433Mercantil Do Brasil N 0057 0027 0086 0012 0943 0002 -2619BBM N 0075 0015 0292 0063 0784 0005 -447BMC N 0050 0029 0077 0012 0846 0003 -4648BMG N 0067 0017 0220 0051 0777 0003 -7116JMalucelli N 0049 0022 0083 0016 0718 0003 -8879PEBB N 0060 0017 0176 0044 0704 0008 -3743SS N 0059 0032 0223 0041 0798 0007 -2847Sofisa N 0055 0021 0112 0022 0804 0002 -9624BIC N 0060 0032 0238 0041 0853 0005 -2725Schahin N 0055 0028 0228 0038 0836 0006 -2575Stock N 0082 0019 0267 0068 0821 0006 -3063Pine N 0052 0022 0096 0018 0808 0004 -5392Socopa N 0055 0027 0113 0016 0889 0003 -3694Intercap N 0060 0023 0210 0037 0814 0006 -2856Indusval N 0062 0029 0245 0044 0857 0005 -3023Bonsucesso N 0053 0020 0113 0022 0781 0005 -3999Industrial do Brasil N 0051 0030 0084 0016 0808 0002 -9274Votorantim N 0052 0037 0130 0022 0816 0008 -2227Cacique N 0049 0024 0065 0012 0775 0005 -4632Inter Amex N 0052 0034 0067 0011 0837 0007 -2236Alfa N 0047 0041 0056 0004 0804 0002 -11448Rendimento N 0053 0022 0079 0011 0874 0008 -1549Bancoob N 0056 0050 0064 0005 0856 0003 -4874Original N 0087 0018 0288 0093 0728 0006 -4259Banco Intermedium SA N 0055 0027 0078 0019 0744 0006 -4047

Table A10 ndash Continue on next page

49

Table A10 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0217 0048 0763 0003 -7417Banco BBN SA N 0051 0026 0075 0014 0820 0012 -1504B Cooperativo Sicredi SA N 0051 0040 0061 0005 0876 0005 -2499B Cooperativo do Brasil SA N 0054 0043 0136 0019 0912 0006 -1445Banco Topazio SA N 0061 0034 0109 0026 0838 0006 -2897Banco Gerador SA N 0073 0052 0124 0026 0855 0008 -1918Banco Randon SA N 0120 0024 0327 0114 0785 0005 -4153Parana Banco SA N 0048 0026 0106 0020 0786 0008 -2732Banco Triangulo SA N 0055 0027 0111 0022 0834 0004 -4227Banco Guanabara SA N 0052 0024 0153 0024 0779 0004 -5589Banco Cedula SA N 0069 0012 0339 0062 0734 0003 -10232Banco Cacique SA N 0076 0027 0246 0076 0785 0016 -1317Banco Luso Brasileiro SA N 0067 0027 0207 0047 0852 0004 -3379Banco Pecunia SA N 0046 0038 0054 0006 0773 0003 -71Banco Zogbi SA N 0047 0037 0061 0010 0778 0001 -14931Banco Daycoval SA N 0054 0022 0126 0026 0782 0004 -5661Banco John Deere SA N 0056 0018 0129 0031 0756 0003 -8043Banco AJ Renner SA N 0053 0025 0080 0015 0829 0006 -2716ABN Amro F 0053 0038 0074 0012 0908 0002 -4751Chase F 0067 0014 0225 0047 0792 0008 -2693LLoyds F 0049 0025 0064 0012 0824 0003 -5227BankBoston F 0054 0037 0096 0020 0899 0006 -1701Santander Brasil F 0057 0033 0103 0019 0884 0008 -1511Citibank F 0059 0026 0154 0028 0871 0003 -4204BNL F 0052 0037 0097 0020 0840 0006 -28Sudameris F 0052 0045 0058 0005 0962 0011 -334Societe Generale F 0060 0023 0151 0031 0827 0006 -2924Europeu F 0050 0032 0066 0012 0849 0007 -2263ABC-Brasil F 0051 0025 0079 0014 0814 0003 -617Dresdner F 0080 0017 0276 0073 0816 0005 -3374AGF Braseg F 0050 0031 0093 0015 0796 0004 -4812HSBC F 0057 0043 0093 0011 0966 0006 -541Deutsche F 0066 0013 0155 0035 0858 0004 -3244BNP Paribas F 0050 0035 0067 0008 0822 0005 -3775Barclays F 0056 0024 0113 0025 0778 0007 -305Rabobank Int Brasil SA F 0057 0021 0163 0027 0842 0003 -5208B Nat de Paris Brasil SA F 0058 0022 0100 0029 0812 0006 -3343Ibibank SA - Banco Multiplo F 0057 0012 0099 0023 0780 0015 -1478Dresdner Bank - B Multiplo F 0087 0016 0244 0068 0770 0008 -2768Banco Westlb Do Brasil SA F 0063 0034 0106 0026 0841 0010 -1625Banco GE Capital SA F 0064 0032 0247 0046 0853 0010 -1522B Com Uruguai SA F 0073 0019 0191 0049 0833 0003 -50981S - State-owned bank N - National bank and F - Foreign bank

50

Table A11 Estimates of Lerner index and return to scale by bank - Model (6)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0036 0096 0015 0939 0007 -855Banrisul S 0050 0035 0098 0014 0938 0008 -82BEC S 0041 0019 0067 0012 0855 0009 -1644BRB S 0053 0029 0124 0018 0956 0002 -1996BB S 0051 0032 0088 0013 0954 0006 -807Caixa Economica Federal S 0054 0040 0094 0012 1014 0003 475B da Amazonia SA S 0053 0015 0103 0022 0846 0008 -205B do Estado Do Para SA S 0051 0028 0074 0013 0943 0004 -1319B do E Do Maranhao SA S 0041 0031 0059 0008 0950 0014 -346B do E Do Piauı SA - Bep S 0042 0028 0084 0012 0879 0004 -2727B do Estado De Sergipe SA S 0052 0022 0153 0022 0953 0003 -1377Nossa Caixa - N Banco SA S 0047 0032 0081 0014 0969 0004 -74Bradesco N 0052 0032 0097 0019 0898 0004 -2645Itau N 0054 0027 0190 0031 0877 0003 -4452Safra N 0049 0032 0100 0015 0872 0003 -5056Unibanco N 0043 0032 0067 0010 0878 0001 -8666Mercantil Do Brasil N 0053 0026 0087 0017 0938 0002 -3104BBM N 0066 0013 0251 0056 0792 0005 -4556BMC N 0041 0026 0069 0011 0850 0003 -4582BMG N 0067 0016 0228 0057 0781 0003 -6611JMalucelli N 0051 0022 0089 0017 0725 0003 -9344PEBB N 0046 0015 0157 0039 0728 0008 -3313SS N 0058 0025 0230 0046 0801 0007 -292Sofisa N 0053 0020 0119 0025 0809 0002 -8846BIC N 0060 0029 0262 0049 0852 0005 -2697Schahin N 0049 0025 0229 0040 0843 0006 -2523Stock N 0081 0017 0284 0072 0836 0005 -2986Pine N 0049 0021 0112 0019 0812 0004 -5267Socopa N 0050 0026 0095 0015 0900 0003 -3515Intercap N 0055 0021 0196 0035 0828 0006 -2899Indusval N 0061 0029 0262 0049 0863 0005 -2762Bonsucesso N 0052 0019 0123 0026 0791 0005 -3885Industrial do Brasil N 0046 0027 0088 0015 0816 0002 -8698Votorantim N 0051 0027 0139 0027 0813 0007 -262Cacique N 0039 0022 0050 0009 0784 0005 -4707Inter Amex N 0045 0027 0064 0012 0843 0006 -2493Alfa N 0044 0033 0068 0009 0805 0002 -12111Rendimento N 0050 0022 0073 0010 0883 0008 -1543Bancoob N 0066 0055 0072 0007 0856 0003 -4559Original N 0098 0020 0294 0094 0735 0006 -4509Banco Intermedium SA N 0057 0024 0085 0022 0756 0006 -4324

Table A11 ndash Continue on next page

51

Table A11 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0061 0017 0195 0048 0777 0003 -7233Banco BBN SA N 0042 0023 0059 0012 0831 0011 -1529B Cooperativo Sicredi SA N 0048 0035 0066 0009 0879 0005 -2672B Cooperativo do Brasil SA N 0046 0034 0119 0017 0917 0006 -1439Banco Topazio SA N 0070 0031 0129 0036 0853 0005 -2776Banco Gerador SA N 0086 0057 0148 0034 0867 0007 -1825Banco Randon SA N 0126 0028 0331 0114 0799 0005 -4136Parana Banco SA N 0039 0023 0082 0015 0798 0008 -2556Banco Triangulo SA N 0052 0025 0116 0025 0840 0004 -4363Banco Guanabara SA N 0048 0021 0100 0019 0792 0004 -5683Banco Cedula SA N 0067 0013 0356 0067 0749 0002 -10205Banco Cacique SA N 0067 0026 0232 0073 0792 0015 -1356Banco Luso Brasileiro SA N 0065 0025 0237 0052 0864 0004 -3163Banco Pecunia SA N 0037 0029 0045 0006 0786 0003 -7158Banco Zogbi SA N 0037 0027 0045 0007 0785 0002 -13921Banco Daycoval SA N 0053 0020 0120 0031 0787 0003 -6088Banco John Deere SA N 0043 0017 0099 0022 0764 0003 -8346Banco AJ Renner SA N 0050 0025 0080 0013 0840 0006 -2706ABN Amro F 0043 0035 0067 0008 0894 0002 -6685Chase F 0059 0014 0189 0040 0803 0007 -2772LLoyds F 0039 0021 0055 0012 0824 0003 -5536BankBoston F 0044 0029 0075 0015 0890 0006 -1965Santander Brasil F 0054 0028 0107 0024 0871 0008 -1694Citibank F 0054 0023 0133 0026 0863 0003 -4787BNL F 0042 0028 0078 0018 0843 0005 -2998Sudameris F 0041 0036 0052 0006 0948 0010 -491Societe Generale F 0054 0020 0118 0025 0834 0006 -2716Europeu F 0038 0029 0049 0008 0856 0006 -2239ABC-Brasil F 0046 0028 0084 0014 0816 0003 -6111Dresdner F 0063 0015 0239 0061 0823 0005 -3888AGF Braseg F 0047 0027 0074 0014 0807 0004 -4477HSBC F 0054 0032 0109 0018 0950 0006 -823Deutsche F 0058 0013 0122 0028 0863 0004 -305BNP Paribas F 0051 0032 0070 0011 0822 0004 -4145Barclays F 0064 0024 0128 0029 0802 0005 -4051Rabobank Int Brasil SA F 0051 0019 0130 0021 0846 0003 -4992B Nat de Paris Brasil SA F 0043 0019 0070 0019 0819 0005 -3429Ibibank SA - Banco Multiplo F 0049 0010 0083 0020 0785 0013 -161Dresdner Bank - B Multiplo F 0087 0016 0261 0066 0783 0007 -2901Banco Westlb Do Brasil SA F 0051 0030 0082 0019 0850 0009 -1643Banco GE Capital SA F 0053 0028 0239 0044 0859 0009 -1544B Com Uruguai SA F 0071 0017 0217 0054 0845 0003 -48451S - State-owned bank N - National bank and F - Foreign bank

52

Seacuterie de Textos para Discussatildeo do Curso de Ciecircncias Econocircmicas ndash FACEUFG ndash TD [078]

EDITORIAL FACE ndash Faculdade de Administraccedilatildeo Ciecircncias Contaacutebeis e Ciecircncias Econocircmicas Curso de Ciecircncias Econocircmicas Direccedilatildeo FACE Prof Moiseacutes Ferreira da Cunha Vice-Direccedilatildeo FACE Profordf Andreacutea Freire de Lucena Coordenaccedilatildeo do Curso de Ciecircncias Econocircmicas Prof Tiago Camarinha Lopes NEPEC ndash Nuacutecleo de Estudos e Pesquisas Econocircmicas Coordenaccedilatildeo Prof Seacutergio Fornazier Meyrelles Filho SEacuteRIE DE TEXTOS PARA DISCUSSAtildeO DO CURSO DE CIEcircNCIAS ECONOcircMICAS DA UFG Coordenaccedilatildeo e Equipe de Editoraccedilatildeo Prof Sandro Eduardo Monsueto Adriana Moura Guimaratildees Matheus Henrique de Arauacutejo Dutra

Endereccedilo Campus Samambaia Preacutedio da FACE ndash Rodovia GoiacircniaNova Veneza km 0 ndash CEP 74690-900 Goiacircnia ndash GO Tel (62) 3521 ndash 1390 URL httpwwwfaceufgbreconomia Publicaccedilatildeo cujo objetivo eacute divulgar resultados de estudos que contam com a participaccedilatildeo de pesquisadores do NEPEC As opiniotildees contidas nesta publicaccedilatildeo satildeo de inteira responsabilidade do(s) autor(es) natildeo representando necessariamente o ponto de vista do NEPEC ou da FACEUFG Eacute permitida a reproduccedilatildeo desde que citada a fonte

Page 26: 1(3(& )$&( 8)* · The Dark Side of Prudential MeasuresI Paulo R. Scalco a, Benjamin M. Tabak1, Anderson M. Teixeira aFaculty of Management, Accounting and Economics, Federal University

53 Estimation of Returns to Scale

Finally Table 4 and Figure 7 summarize the estimates of returns to scale We highlight

that the average of the returns to the scale of the Brazilian FIs is very close if we comparer

the six estimated models (between 0848 and 0851) Although the values are close to unity

in all IFs we reject the hypotheses of constant returns to the scale that is RTS = 1 therefore

IFs have diseconomies of scale

Table 4 Estimates of returns to scale by control type and general

When we separate estimates by type of control the estimates of state-owned banks

(0937-0944) are higher than national (0824-0829) and foreign banks (0841-0844) This

result means that the scale problem is a problem common to all FIs in Brazil Moreover

state-owned banks runs closer to the constant return region than national and foreign banks

Figure 7 Frequency distribution of the returns to scale indexes for each model and

density estimationKernel by type of control

6 Final Considerations

Considering that the banking industry underwent a significant restructuring in recent

years caused by several mergers and acquisitions in the sector as well as by a severe financial

crisis started in mid 2007 and potentialized in 2008 understand the behavior of market

power and as a (partial) set of prudential instruments influencing this dynamic has become

paramount Thus in an innovative way this paper proposed the use of stochastic frontier

analysis techniques to measure market power for the Brazilian banking industry and to test

if such prudential measures had an impact on the competitive dynamics of sector

The estimated average Lerner index was between 51 and 58 for Brazilian FIs How-

ever when controlled by the type of control we find that state-owned banks have slightly

24

lower estimates than national and foreign banks respectively Also estimates of returns to

scale allow us to infer that FIs operate with diseconomies of scale

Concerning the impact of prudential measures on the market power of FIs our results

generally suggest that tightening of prudential measures have a positive impact on bank

mark-up and consequently have detrimental effects on competition in industry banking

Finally in future research it will be possible to better understand the influence of some

prudential measures in the banking market through the study by type of segment or line of

credit

25

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Altunbas Y Binici M amp Gambacorta L (2018) Macroprudential policy and bank risk Journal of

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Araujo L A D d amp Jorge Neto P d M (2007) Risco e competicao bancaria no Brasil Revista Brasileira

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Auer R amp Ongena S (2019) The countercyclical capital buffer and the composition of bank lending

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Ayyagari M Beck T amp Peria M (2018) The micro impact of macroprudential policies Firm-level

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Barbosa K de Paula Rocha B amp Salazar F (2015) Assessing competition in the banking indus-

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Belaisch A (2003) Do Brazilian Banks Compete SSRN Scholarly Paper ID 879189 Social Science Research

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Camors C amp Peydro J (2014) Macroprudential and monetary policy Loan-level evidence from reserve

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Cerutti E Correa R Fiorentino E amp Segalla E (2016) Changes in prudential policy instruments ndash a

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Cerutti E Dagher J amp DellrsquoAriccia G (2017b) Housing finance and real-estate booms A cross-country

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Claessens S (2015) An overview of macroprudential policy tools Annual Re-

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Claessens S Ghosh S R amp Mihet R (2013) Macro-prudential policies to mitigate financial system

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Claessens S amp Laeven L (2004) What drives bank competition some international evidence Journal

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Coccorese P (2014) Estimating the Lerner index for the banking industry a stochastic frontier approach

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Coelho C A De Mello J M amp Rezende L (2013) Do Public Banks Compete with Private

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Cubillas E amp Suarez N (2018) Bank market power and lending during the global financial crisis Jour-

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Das A amp Kumbhakar S C (2016) Markup and efficiency of Indian banks an input distance func-

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Ely R Tabak B amp Teixeira A (2019) Heterogeneous effects of the implementation of macroprudential

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Freixas X Laeven L amp Peydro J-L (2015) Systemic Risk Crises and Macroprudential Regulation

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Galati G amp Moessner R (2013) Macroprudential policy ndash a literature review Jour-

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Gropp R Mosk T Ongena S amp Wix C (2018) Banks Response to Higher Cap-

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Hyde C E amp Perloff J M (1995) Can market power be estimated Review of Industrial Organization 10

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Igan D amp Kang H (2011) Do loan-to-value and debt-to-income limits work evidence from korea IMF

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Jimenez G Ongena S Peydro J-L amp Saurina J (2017) Macroprudential policy countercyclical bank

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Jondrow J Knox Lovell C A Materov I S amp Schmidt P (1982) On the estimation of technical

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Klingelhoger J amp Sun R (2019) Macruprudential policy central banks and financial stability Evidence

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Kumbhakar S C (2012) Specification and estimation of primal production models European Journal

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Kumbhakar S C Baardsen S amp Lien G (2012) A New Method for Estimating Market Power with

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Lerner A P (1934) The Concept of Monopoly and the Measurement of Monopoly Power The Review

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Lim C H Costa A Columba F Kongsamut P Otani A Saiyid M Wezel T amp Wu X (2011)

Macroprudential policy what instruments and how to use them lessons from country experiences IMF

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Lopez R A He X amp Azzam A (2018) Stochastic frontier estimation of market

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onlinelibrarywileycomdoiabs1011111477-955212219 doi1011111477-955212219

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Lucinda C R (2010) Competition in the Brazilian loan market an empirical analysis Estudos Economicos

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Moreno R (2011) Policymaking from arsquomacroprudentialrsquoperspective in emerging market economies

Nakane M I (2002) A test of competition in brazilian banking Estudos Economicos (Sao Paulo) 32

203ndash224 URL httpwwwrevistasuspbreearticleview117799

Panzar J C amp Rosse J N (1987) Testing for rdquomonopolyrdquo equilibrium The Journal of Industrial

Economics 35 443ndash456 URL httpwwwjstororgstable2098582 doi1023072098582

Richter B Schularick M amp Shim I (2019) The costs of macroprudential policy Journal of Inter-

national Economics 118 263 ndash 282 URL httpwwwsciencedirectcomsciencearticlepii

S0022199618302617 doihttpsdoiorg101016jjinteco201811011

Schmalensee R (1989) Chapter 16 inter-industry studies of structure and performance In Hand-

book of Industrial Organization (pp 951ndash1009) Elsevier BV URL httpdxdoiorg101016

s1573-448x(89)02004-2 doi101016s1573-448x(89)02004-2

Silva M S d () Avaliacao do processo de concentracao-competicao no setor bancario brasileiro URL

httpwwwbcbgovbrpecwpsporttd377pdf

Tabak B amp Gomes G (2015) The impact of market power at bank level in risk-taking The brazilian

case International Review of Financial Analysis 40 154ndash165

Tabak B M Fazio D M amp Cajueiro D O (2012) The relationship between banking market competition

and risk-taking Do size and capitalization matter 36 3366ndash3381 URL httpwwwsciencedirect

comsciencearticlepiiS0378426612002026 doi101016jjbankfin201207022

Wong T Fong T Li K-f amp Choi H (2011) Loan-to-value ratio as a macroprudential tool-hong kongrsquos

experience and cross-country evidence

Zhang L amp Zoli E (2016) Leaning against the wind Macroprudential policy in asia Journal of Asian

Economics 42 33ndash52

29

Figure 1 Evolution of the Herfindahl Index (HHI) over time using credit and total assets for theBrazilian banking system

30

Figure 2 Marginal effects of HHI and prudential instruments (Capital Buffer Capital RequirementLTV Reserve Requirement (Foreign) Reserve Requirement (domestic) and cumulative prud) on the

mark-up u component

31

Figure 3 Frequency distribution of Lerner indexes for each model and density estimation Kernel by typeof control

32

Figure 4 Lerner indexes according to the size (market share) of banksrsquo assets

33

Figure 5 Average Lerner indices for each model between 2000q2 and 2014q4

34

Figure 6 Average Lerner indices estimated for public private national and private foreign banks between2000q2 and 2014q4

35

Figure 7 Frequency distribution of the returns to scale indexes for each model and density estimationKernel by type of control

36

Table 1 Variables used to IDF estimatation

Variabel Description SourceBasic variables

TR Total Revenue = Gross Insterest Income (a) + Bank-ing Service Fee Income (d1) + Banking Fee Income(d2) + Other Operating Income (d7)

Inc statIFData

TC Total Cost = Interest Expenses (b) + Personnel Ex-penses (d3) + Administrative Expenses (d4) + TaxExpenses (d5) + Other Operating Expenses (d8)

Inc statIFData

Y Loan Lease and Other Credit Operations by RiskLevel

SummaryIFData

x1 Personnel Expenses (d3) Inc statIFDatax2 Funding (e) LiabilitiesIFDatax3 Equity (j) LiabilitiesIFData

Model variabelslnRC Log of Revenue-Cost ratiolnY Log of total loanlnx1 Log of personnel expenses and equity ratio (x1x3)lnx2 Log of funding and equity ratio (x2x3)T Time

Prudential variables - Deterministic mark-up parametersHHIt HHIt =

sumS2it where Sit

2 is market share of totalasset of bank i on time t

Inc statIFData

cb cumulative change of capital buffer Cerutti et al (2016)cr cumulative change of capital requirement Cerutti et al (2016)ltv cumulative change of loan-to-value Cerutti et al (2016)

rr foreign cumulative change of reserve requirement (foreigncurrency)

Cerutti et al (2016)

rr local cumulative change of reserve requirement (domesticcurrency)

Cerutti et al (2016)

37

Table 2 Results of IDF estimation

Parameters VariablesEstimates

Model Model Model Model Model Model(1) (2) (3) (4) (5) (6)

Parametros da funcao insumo distanciaαY Y lnY -0013 -0003 -0004 -0012 -0011 -0005

(000) (000) (000) (000) (000) (000)α1Y lnx1 -0096 -0095 -0094 -0094 -0096 -0090

(001) (001) (001) (001) (001) (001)α2Y lnx2 -0019 -0022 -0022 -0019 -0020 -0021

(001) (001) (001) (001) (001) (001)αY T T -0000 -0000 -0000 -0000 -0000 -0000

(000) (000) (000) (000) (000) (000)αY const 1153 1010 1035 1134 1129 1057

(005) (007) (005) (005) (005) (006)

Deterministic Mark-up parametersδ1 HHI 764157

(12270)δ1 Capital

Buffer7586(065)

δ2 CapitalReq

4696(160)

δ1 Loan-to-value38511(671)

δ1 ResR(foreign)10730(433)

δ2 ResR(local)2869(126)

δ1 Cum Prud3237(020)

δ0 const minus10601minus10194minus5306 minus9866 minus8577 minus4993(032) (2064) (316) (079) (119) (122)

Distribution of u and vσ2u 2840 1418 1620 2643 2441 1593σ2v 0118 0121 0120 0118 0118 0120λ 2402 1172 1354 2233 2065 1325Log Lik 887404 922033 918606 896019 891991 907817

EstimatesEstimates of Mark-up (u)Avg 0075 0065 0068 0074 0075 00691st quartile 0052 0038 0051 0051 0051 0044Median 0062 0048 0060 0060 0061 00543st quartile 0080 0074 0079 0079 0079 0075std-dev 0053 0054 0053 0053 0054 0054

Note p lt 010 p lt 005 and p lt 001

38

Table 3 Estimates of Lerner index general and by type of control

EstimatesModel Model Model Model Model Model

(1) (2) (3) (4) (5) (6)Mark-up (L) generalAverage 0058 0051 0053 0057 0058 0053std-dev 0032 0034 0034 0032 0032 00331st quartile 0043 0031 0034 0041 0042 0036Median 0051 0039 0044 0050 0050 00453st quartile 0063 0060 0059 0063 0063 0060Mark-up (L) State-owned banksAverage 0057 0047 0049 0056 0056 0050std-dev 0018 0017 0017 0018 0016 00161st quartile 0047 0035 0038 0045 0046 0040Median 0054 0041 0046 0053 0053 00463st quartile 0064 0056 0056 0064 0063 0057Mark-up (L) National banksAverage 0057 0052 0054 0057 0057 0054std-dev 0034 0038 0038 0035 0035 00371st quartile 0041 0030 0033 0040 0041 0035Median 0050 0038 0043 0048 0049 00443st quartile 0061 0061 0060 0061 0062 0060Mark-up (L) Foreign banksAverage 0061 0050 0053 0059 0060 0054std-dev 0034 0033 0032 0034 0034 00321st quartile 0042 0031 0034 0041 0042 0036Median 0052 0040 0044 0051 0051 00453st quartile 0068 0059 0060 0066 0066 0061

Table 4 Estimates of returns to scale by control type and general

ModelState-owned

banksNational

banksForeignbanks

General std-dev Min Max

1 0944 0824 0842 0848 0073 0665 11242 0940 0829 0843 0851 0066 0690 10733 0938 0827 0842 0849 0066 0689 10764 0941 0824 0842 0848 0071 0671 11115 0942 0824 0841 0848 0072 0669 11136 0937 0829 0844 0850 0065 0692 1073

39

Appendix A Attachment Tables

Table A5 Cumulative change on Prudential Measures intensity

TimeCapitalBuffer 2

(cb)

CapitalReq(cr)

Loan-to-Value(ltv)

Reserve Reqlocal curr

(RR local)

Reserve Reqforeign cur

(RR foreign)

CumulativePrudential 3

(Cum Prud)2000q2 -1 0 0 0 -2 -32000q4 -1 0 0 0 -2 -32001q2 -1 0 0 0 -2 -32001q4 0 0 0 0 -1 -12002q2 0 0 0 0 0 02002q4 2 0 0 0 2 42003q2 0 0 0 0 3 32003q4 0 0 0 0 2 22004q2 0 0 0 0 2 22004q4 0 0 0 0 2 22005q2 0 0 0 0 2 22005q4 0 0 0 0 2 22006q2 0 0 0 0 2 22006q4 0 0 0 0 2 22007q2 2 0 0 0 2 42007q4 2 0 0 0 2 42008q2 2 0 0 0 2 42008q4 2 0 0 0 1 32009q2 2 0 0 0 0 22009q4 2 0 0 0 -1 12010q2 2 0 0 0 1 32010q4 3 0 0 0 3 62011q2 3 0 0 1 3 72011q4 4 0 0 2 3 92012q2 3 1 0 2 3 92012q4 3 1 0 1 2 72013q2 3 2 0 0 2 72013q4 3 2 1 0 2 82014q2 3 2 1 0 2 82014q4 2 2 1 0 3 82Sum of capital buffer and others 3Aggregate measure (It is the sum of the change of all other instrument)

40

Table A6 Estimates of Lerner index and return to scale by bank - Model (1)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0042 0082 0009 0940 0007 -85Banrisul S 0055 0041 0084 0009 0952 0008 -635BEC S 0048 0021 0077 0016 0844 0009 -1756BRB S 0058 0033 0100 0015 0961 0003 -1533BB S 0058 0039 0098 0012 0990 0006 -173Caixa Economica Federal S 0063 0051 0174 0022 1052 0004 1458B da Amazonia SA S 0057 0016 0124 0023 0844 0008 -2028B do Estado Do Para SA S 0061 0026 0110 0022 0936 0004 -1764B do Est do Maranhao SA S 0055 0046 0065 0006 0935 0014 -455B do Est do Piauı SA - Bep S 0057 0030 0155 0029 0862 0004 -326B do Estado De Sergipe SA S 0061 0024 0135 0022 0947 0004 -1453Nossa Caixa - N Banco SA S 0057 0036 0090 0013 0981 0004 -444Bradesco N 0056 0038 0114 0015 0925 0004 -1945Itau N 0059 0031 0220 0033 0901 0003 -3797Safra N 0053 0037 0085 0009 0885 0003 -4215Unibanco N 0055 0037 0088 0014 0897 0001 -7054Mercantil Do Brasil N 0057 0027 0077 0011 0945 0002 -2527BBM N 0076 0016 0300 0065 0783 0005 -4464BMC N 0052 0030 0079 0012 0845 0003 -4703BMG N 0065 0017 0208 0045 0779 0003 -729JMalucelli N 0047 0022 0069 0013 0718 0003 -8765PEBB N 0065 0017 0181 0047 0698 0008 -3914SS N 0057 0034 0220 0037 0799 0007 -2839Sofisa N 0054 0021 0092 0020 0804 0002 -9903BIC N 0060 0034 0236 0040 0855 0005 -276Schahin N 0056 0028 0214 0035 0835 0006 -262Stock N 0081 0020 0267 0067 0817 0006 -3107Pine N 0052 0022 0108 0019 0808 0004 -545Socopa N 0056 0027 0120 0017 0886 0003 -3806Intercap N 0060 0023 0212 0037 0812 0007 -2851Indusval N 0062 0030 0246 0043 0857 0005 -3139Bonsucesso N 0052 0020 0092 0018 0779 0005 -4033Industrial do Brasil N 0051 0031 0081 0016 0807 0002 -952Votorantim N 0052 0037 0107 0017 0819 0009 -2117Cacique N 0053 0024 0071 0014 0774 0005 -4621Inter Amex N 0055 0037 0068 0010 0837 0008 -2158Alfa N 0048 0041 0059 0005 0806 0002 -11303Rendimento N 0053 0022 0080 0012 0872 0008 -1562Bancoob N 0052 0046 0056 0003 0856 0003 -5061Original N 0085 0017 0279 0090 0729 0007 -4163Banco Intermedium SA N 0052 0028 0070 0015 0743 0006 -3973

Table A6 ndash Continue on next page

41

Table A6 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0225 0049 0761 0003 -7509Banco BBN SA N 0053 0027 0077 0014 0817 0012 -1509B Cooperativo Sicredi SA N 0052 0043 0062 0005 0875 0005 -2477B Cooperativo do Brasil SA N 0056 0046 0142 0020 0910 0006 -1479Banco Topazio SA N 0060 0035 0110 0027 0834 0006 -2966Banco Gerador SA N 0069 0045 0122 0028 0852 0008 -1968Banco Randon SA N 0109 0023 0320 0109 0783 0005 -4158Parana Banco SA N 0050 0026 0108 0020 0784 0008 -2799Banco Triangulo SA N 0055 0028 0091 0020 0833 0004 -4201Banco Guanabara SA N 0052 0024 0169 0025 0777 0004 -5588Banco Cedula SA N 0068 0012 0339 0061 0731 0003 -10236Banco Cacique SA N 0077 0028 0248 0077 0785 0016 -1309B Luso Brasileiro SA N 0065 0027 0208 0043 0849 0004 -349Banco Pecunia SA N 0047 0039 0060 0006 0770 0003 -7086Banco Zogbi SA N 0051 0038 0067 0011 0778 0001 -15193Banco Daycoval SA N 0054 0023 0131 0026 0783 0004 -5522B John Deere SA N 0059 0018 0133 0033 0756 0003 -7955Banco AJ Renner SA N 0053 0025 0081 0015 0827 0006 -2742ABN Amro F 0056 0039 0079 0014 0914 0002 -427Chase F 0068 0014 0228 0049 0790 0008 -2678LLoyds F 0053 0027 0064 0012 0825 0003 -5159BankBoston F 0057 0040 0099 0020 0902 0006 -1638Santander Brasil F 0057 0034 0097 0017 0890 0008 -146Citibank F 0059 0026 0153 0028 0875 0003 -4039BNL F 0055 0041 0097 0019 0840 0006 -2767Sudameris F 0056 0048 0065 0005 0966 0012 -297Societe Generale F 0060 0024 0153 0031 0826 0006 -299Europeu F 0054 0032 0073 0013 0848 0007 -2287ABC-Brasil F 0052 0025 0082 0014 0815 0003 -6207Dresdner F 0083 0017 0280 0074 0815 0006 -3234AGF Braseg F 0051 0031 0100 0016 0794 0004 -4923HSBC F 0057 0046 0092 0010 0971 0006 -466Deutsche F 0068 0013 0160 0036 0857 0004 -3335BNP Paribas F 0050 0037 0068 0007 0824 0005 -3665Barclays F 0052 0024 0089 0021 0771 0008 -2787Rabobank Int Brasil SA F 0058 0022 0166 0028 0842 0003 -5284B Nat de Paris Br SA F 0063 0023 0109 0033 0811 0006 -3331Ibibank SA - Banco Multiplo F 0059 0012 0106 0024 0781 0015 -1441Dresdner Bank - B Multiplo F 0086 0016 0244 0068 0768 0008 -2746Banco Westlb Do Brasil SA F 0064 0034 0108 0027 0839 0010 -1626Banco GE Capital SA F 0067 0032 0247 0047 0852 0010 -1527B Com Uruguai SA F 0072 0020 0192 0049 0830 0003 -52281S - State-owned bank N - National bank and F - Foreign bank

42

Table A7 Estimates of Lerner index and return to scale by bank - Model (2)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0049 0032 0085 0016 0944 0008 -716Banrisul S 0049 0032 0106 0017 0939 0008 -75BEC S 0032 0016 0046 0008 0860 0009 -1489BRB S 0049 0030 0112 0017 0961 0002 -1681BB S 0049 0032 0091 0016 0948 0006 -845Caixa Economica Federal S 0052 0034 0081 0014 1012 0003 382B da Amazonia SA S 0053 0015 0140 0028 0847 0008 -1922B do Estado Do Para SA S 0046 0029 0063 0009 0952 0005 -963B do Est do Maranhao SA S 0036 0029 0045 0005 0963 0016 -235B do Est do Piauı SA - Bep S 0036 0023 0071 0011 0888 0005 -2314B do Estado De Sergipe SA S 0050 0020 0155 0024 0962 0004 -1043Nossa Caixa - N Banco SA S 0039 0027 0074 0011 0972 0005 -601Bradesco N 0050 0028 0116 0023 0890 0004 -2618Itau N 0052 0024 0222 0037 0869 0003 -4269Safra N 0046 0028 0100 0017 0867 0003 -5042Unibanco N 0035 0028 0054 0007 0873 0001 -8511Mercantil Do Brasil N 0051 0029 0093 0019 0941 0002 -2837BBM N 0063 0012 0213 0048 0790 0005 -4494BMC N 0034 0023 0049 0007 0851 0003 -4266BMG N 0065 0015 0233 0057 0776 0004 -6135JMalucelli N 0052 0018 0080 0016 0720 0003 -9566PEBB N 0037 0014 0108 0025 0732 0009 -3086SS N 0056 0024 0236 0046 0797 0007 -2849Sofisa N 0052 0018 0107 0028 0808 0002 -8115BIC N 0057 0026 0259 0050 0850 0006 -2531Schahin N 0047 0022 0225 0041 0845 0007 -2359Stock N 0078 0017 0287 0071 0843 0006 -2782Pine N 0048 0018 0114 0023 0811 0004 -4973Socopa N 0050 0022 0136 0024 0908 0003 -3089Intercap N 0051 0019 0133 0031 0832 0006 -2759Indusval N 0061 0023 0267 0052 0866 0006 -2437Bonsucesso N 0050 0017 0109 0026 0791 0006 -3655Industrial do Brasil N 0044 0024 0079 0015 0816 0002 -8095Votorantim N 0048 0025 0120 0026 0807 0007 -2721Cacique N 0033 0020 0039 0006 0782 0005 -4597Inter Amex N 0035 0025 0045 0007 0844 0006 -2419Alfa N 0042 0029 0069 0013 0801 0002 -12139Rendimento N 0049 0019 0077 0015 0889 0008 -1394Bancoob N 0065 0057 0073 0006 0855 0003 -4199Original N 0099 0019 0299 0096 0732 0006 -4473Banco Intermedium SA N 0062 0032 0081 0019 0754 0006 -4393

Table A7 ndash Continue on next page

43

Table A7 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0059 0016 0239 0051 0778 0003 -6944Banco BBN SA N 0035 0020 0053 0009 0834 0011 -1466B Cooperativo Sicredi SA N 0045 0032 0070 0011 0881 0005 -2581B Cooperativo do Brasil SA N 0045 0029 0147 0025 0922 0006 -1274Banco Topazio SA N 0076 0043 0138 0038 0861 0005 -2569Banco Gerador SA N 0089 0054 0153 0037 0874 0008 -1645Banco Randon SA N 0122 0029 0335 0113 0803 0005 -388Parana Banco SA N 0033 0020 0062 0011 0800 0009 -234Banco Triangulo SA N 0052 0022 0105 0027 0841 0004 -4148Banco Guanabara SA N 0046 0019 0091 0020 0793 0004 -5561Banco Cedula SA N 0062 0011 0359 0067 0749 0003 -9911Banco Cacique SA N 0049 0020 0157 0048 0791 0016 -1315Banco Luso Brasileiro SA N 0066 0022 0241 0055 0870 0005 -2851Banco Pecunia SA N 0032 0027 0036 0003 0787 0003 -6876Banco Zogbi SA N 0032 0026 0037 0005 0784 0002 -13006Banco Daycoval SA N 0053 0019 0139 0036 0784 0004 -6065Banco John Deere SA N 0035 0016 0073 0016 0761 0003 -8278Banco AJ Renner SA N 0047 0021 0083 0015 0844 0006 -2553ABN Amro F 0035 0027 0047 0006 0889 0002 -7231Chase F 0054 0013 0157 0033 0804 0007 -2702LLoyds F 0033 0020 0043 0008 0821 0003 -5429BankBoston F 0036 0026 0060 0011 0888 0006 -1917Santander Brasil F 0055 0025 0115 0030 0864 0008 -1647Citibank F 0051 0020 0132 0025 0860 0003 -4735BNL F 0036 0026 0062 0012 0843 0005 -2959Sudameris F 0036 0031 0040 0004 0949 0011 -468Societe Generale F 0051 0018 0104 0024 0835 0007 -2454Europeu F 0034 0025 0041 0006 0859 0007 -2076ABC-Brasil F 0043 0026 0086 0015 0813 0003 -5797Dresdner F 0050 0014 0190 0046 0824 0004 -3975AGF Braseg F 0044 0024 0068 0014 0810 0005 -4109HSBC F 0052 0031 0110 0021 0948 0007 -776Deutsche F 0054 0012 0166 0030 0866 0005 -2754BNP Paribas F 0049 0028 0073 0013 0818 0004 -4092Barclays F 0065 0028 0121 0027 0811 0005 -4028Rabobank Int Brasil SA F 0047 0017 0102 0017 0845 0003 -4605B Nat de Paris Brasil SA F 0036 0017 0054 0013 0819 0005 -3304Ibibank SA - Banco Multiplo F 0043 0010 0114 0025 0782 0013 -1623Dresdner Bank - B Multiplo F 0096 0015 0270 0076 0785 0007 -2924Banco Westlb Do Brasil SA F 0041 0026 0062 0013 0853 0010 -154Banco GE Capital SA F 0054 0026 0253 0049 0862 0010 -1444B Com Uruguai SA F 0070 0017 0220 0058 0849 0003 -4471S - State-owned bank N - National bank and F - Foreign bank

44

Table A8 Estimates of Lerner index and return to scale by bank - Model (3)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0034 0090 0016 0941 0008 -772Banrisul S 0051 0032 0108 0016 0938 0008 -772BEC S 0035 0018 0051 0009 0856 0009 -1562BRB S 0052 0032 0122 0018 0958 0002 -1793BB S 0052 0035 0085 0015 0951 0006 -809Caixa Economica Federal S 0054 0039 0098 0014 1015 0003 465B da Amazonia SA S 0053 0014 0113 0024 0845 0008 -1977B do Estado Do Para SA S 0049 0028 0071 0010 0947 0005 -1117B do E do Maranhao SA S 0041 0032 0059 0008 0957 0015 -285B do E do Piauı SA - Bep S 0041 0028 0086 0014 0882 0005 -2518B do Estado De Sergipe SA S 0052 0021 0145 0022 0957 0004 -1182Nossa Caixa - N Banco SA S 0045 0029 0081 0015 0971 0005 -651Bradesco N 0052 0029 0101 0021 0893 0004 -2614Itau N 0054 0025 0203 0034 0872 0003 -4328Safra N 0048 0029 0093 0015 0869 0003 -5008Unibanco N 0041 0028 0067 0010 0874 0001 -8514Mercantil Do Brasil N 0053 0026 0095 0018 0939 0002 -29BBM N 0067 0013 0250 0056 0789 0005 -4501BMC N 0038 0024 0069 0010 0849 0003 -4408BMG N 0067 0015 0233 0058 0776 0004 -6374JMalucelli N 0052 0022 0087 0016 0720 0003 -9426PEBB N 0045 0014 0158 0040 0727 0009 -3192SS N 0057 0025 0231 0046 0797 0007 -287Sofisa N 0053 0018 0116 0026 0807 0002 -8444BIC N 0059 0030 0250 0049 0850 0006 -2596Schahin N 0048 0023 0220 0038 0842 0007 -2424Stock N 0083 0017 0304 0077 0838 0006 -2873Pine N 0049 0019 0105 0020 0810 0004 -5103Socopa N 0050 0026 0111 0018 0903 0003 -3253Intercap N 0055 0020 0196 0036 0828 0006 -283Indusval N 0062 0029 0282 0052 0863 0005 -2588Bonsucesso N 0051 0017 0118 0025 0789 0006 -3771Industrial do Brasil N 0046 0025 0086 0015 0815 0002 -8341Votorantim N 0050 0027 0128 0027 0809 0007 -2664Cacique N 0037 0020 0048 0009 0781 0005 -4645Inter Amex N 0039 0026 0058 0009 0842 0006 -2468Alfa N 0044 0031 0072 0011 0801 0002 -11998Rendimento N 0049 0022 0078 0011 0885 0008 -1463Bancoob N 0066 0057 0077 0007 0854 0003 -4342Original N 0102 0019 0301 0096 0730 0006 -4526Banco Intermedium SA N 0059 0027 0083 0020 0752 0006 -4354

Table A8 ndash Continue on next page

45

Table A8 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0017 0217 0054 0776 0003 -7084Banco BBN SA N 0038 0022 0058 0010 0831 0011 -1492B Cooperativo Sicredi SA N 0047 0035 0071 0010 0879 0005 -259B Cooperativo do Brasil SA N 0046 0035 0128 0020 0919 0006 -1339Banco Topazio SA N 0075 0036 0153 0041 0855 0005 -2657Banco Gerador SA N 0091 0057 0144 0034 0869 0008 -173Banco Randon SA N 0124 0029 0332 0112 0799 0005 -4023Parana Banco SA N 0036 0021 0071 0012 0797 0008 -2452Banco Triangulo SA N 0053 0023 0115 0027 0839 0004 -4256Banco Guanabara SA N 0047 0020 0100 0019 0790 0004 -561Banco Cedula SA N 0066 0012 0362 0068 0747 0003 -10082Banco Cacique SA N 0063 0026 0231 0074 0789 0016 -1336Banco Luso Brasileiro SA N 0066 0026 0249 0053 0865 0005 -2985Banco Pecunia SA N 0034 0029 0041 0004 0784 0003 -7038Banco Zogbi SA N 0036 0027 0046 0006 0782 0002 -13399Banco Daycoval SA N 0054 0019 0131 0034 0784 0004 -607Banco John Deere SA N 0039 0015 0083 0018 0761 0003 -8316Banco AJ Renner SA N 0049 0024 0073 0013 0840 0006 -2621ABN Amro F 0041 0030 0066 0009 0890 0002 -6866Chase F 0059 0013 0173 0039 0801 0007 -2733LLoyds F 0038 0021 0055 0010 0821 0003 -5484BankBoston F 0040 0028 0063 0012 0888 0006 -1931Santander Brasil F 0056 0028 0107 0027 0866 0008 -1663Citibank F 0052 0022 0123 0023 0860 0003 -4735BNL F 0039 0028 0063 0014 0841 0005 -2966Sudameris F 0041 0036 0052 0006 0948 0011 -473Societe Generale F 0052 0020 0103 0022 0833 0006 -2579Europeu F 0038 0030 0049 0007 0856 0007 -2153ABC-Brasil F 0046 0029 0079 0014 0813 0003 -5935Dresdner F 0055 0014 0212 0052 0822 0005 -3913AGF Braseg F 0046 0027 0071 0014 0806 0005 -4276HSBC F 0053 0032 0101 0019 0949 0007 -784Deutsche F 0058 0013 0141 0029 0863 0005 -2878BNP Paribas F 0051 0030 0074 0012 0818 0004 -4118Barclays F 0066 0025 0130 0030 0805 0005 -4123Rabobank Int Brasil SA F 0049 0019 0109 0018 0844 0003 -4752B Nat de Paris Brasil SA F 0041 0019 0069 0018 0817 0005 -3368Ibibank SA - Banco Multiplo F 0046 0010 0095 0021 0781 0014 -1617Dresdner Bank - B Multiplo F 0093 0017 0282 0072 0782 0008 -2899Banco Westlb Do Brasil SA F 0044 0027 0069 0015 0850 0009 -1591Banco GE Capital SA F 0055 0026 0249 0046 0859 0009 -1489B Com Uruguai SA F 0071 0017 0228 0056 0845 0003 -46241S - State-owned bank N - National bank and F - Foreign bank

46

Table A9 Estimates of Lerner index and return to scale by bank - Model (4)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0054 0041 0078 0011 0939 0007 -873Banrisul S 0055 0040 0106 0014 0948 0008 -692BEC S 0046 0020 0072 0014 0846 0009 -1746BRB S 0057 0032 0094 0016 0959 0002 -1673BB S 0057 0038 0095 0014 0981 0006 -33Caixa Economica Federal S 0061 0049 0165 0021 1042 0003 1249B da Amazonia SA S 0056 0015 0117 0022 0844 0008 -2047B do Estado Do Para SA S 0059 0025 0103 0020 0936 0004 -1701B do E Do Maranhao SA S 0052 0044 0062 0005 0936 0014 -448B do E Do Piauı SA - Bep S 0054 0029 0147 0028 0865 0004 -3201B do Estado De Sergipe SA S 0061 0023 0168 0026 0947 0004 -1484Nossa Caixa - N Banco SA S 0054 0035 0085 0012 0977 0004 -547Bradesco N 0056 0036 0107 0017 0919 0004 -2123Itau N 0058 0030 0212 0032 0896 0003 -3979Safra N 0052 0035 0107 0013 0882 0003 -445Unibanco N 0052 0035 0082 0013 0892 0001 -7446Mercantil Do Brasil N 0057 0027 0093 0015 0942 0002 -2687BBM N 0075 0015 0294 0064 0784 0005 -4512BMC N 0050 0029 0074 0011 0846 0003 -472BMG N 0065 0016 0202 0047 0779 0003 -7192JMalucelli N 0048 0022 0071 0014 0720 0003 -8923PEBB N 0061 0016 0172 0044 0704 0008 -382SS N 0056 0033 0213 0037 0799 0007 -2875Sofisa N 0053 0020 0087 0019 0805 0002 -9731BIC N 0061 0033 0269 0048 0854 0005 -2768Schahin N 0053 0027 0205 0034 0836 0006 -2627Stock N 0081 0020 0265 0068 0820 0006 -3122Pine N 0052 0022 0118 0021 0808 0004 -5467Socopa N 0054 0026 0114 0016 0888 0003 -3785Intercap N 0057 0023 0203 0035 0815 0006 -2877Indusval N 0062 0029 0239 0043 0857 0005 -3085Bonsucesso N 0052 0019 0088 0018 0782 0005 -403Industrial do Brasil N 0050 0030 0076 0015 0809 0002 -9427Votorantim N 0051 0036 0102 0017 0817 0008 -2222Cacique N 0050 0023 0067 0013 0776 0005 -4659Inter Amex N 0052 0035 0064 0009 0837 0007 -2226Alfa N 0048 0039 0071 0007 0805 0002 -11484Rendimento N 0052 0022 0076 0013 0874 0008 -1571Bancoob N 0057 0045 0071 0011 0855 0003 -5022Original N 0094 0017 0278 0090 0730 0006 -4242Banco Intermedium SA N 0049 0027 0065 0014 0746 0006 -4054

Table A9 ndash Continue on next page

47

Table A9 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0019 0220 0050 0764 0003 -7516Banco BBN SA N 0050 0027 0072 0013 0819 0012 -1529B Cooperativo Sicredi SA N 0051 0041 0068 0006 0875 0005 -2551B Cooperativo do Brasil SA N 0053 0044 0134 0018 0910 0006 -151Banco Topazio SA N 0066 0035 0128 0036 0837 0005 -2981Banco Gerador SA N 0082 0045 0157 0043 0854 0007 -1967Banco Randon SA N 0106 0026 0312 0105 0786 0005 -4204Parana Banco SA N 0048 0025 0102 0018 0787 0008 -2768Banco Triangulo SA N 0054 0027 0088 0021 0834 0004 -427Banco Guanabara SA N 0051 0023 0161 0025 0780 0004 -5659Banco Cedula SA N 0069 0012 0360 0065 0735 0003 -1028Banco Cacique SA N 0073 0027 0240 0075 0786 0016 -1327Banco Luso Brasileiro SA N 0065 0026 0242 0047 0852 0004 -346Banco Pecunia SA N 0045 0037 0056 0006 0773 0003 -7139Banco Zogbi SA N 0048 0036 0064 0010 0779 0001 -15057Banco Daycoval SA N 0055 0022 0126 0030 0784 0004 -568Banco John Deere SA N 0056 0018 0125 0031 0757 0003 -8084Banco AJ Renner SA N 0051 0025 0077 0013 0829 0006 -2763ABN Amro F 0053 0038 0074 0013 0909 0002 -4803Chase F 0066 0014 0220 0046 0793 0008 -2711LLoyds F 0050 0026 0060 0011 0825 0003 -5323BankBoston F 0054 0038 0092 0018 0899 0006 -1734Santander Brasil F 0056 0033 0098 0019 0885 0007 -1529Citibank F 0059 0025 0145 0030 0872 0003 -421BNL F 0052 0039 0091 0018 0840 0006 -2854Sudameris F 0053 0046 0062 0005 0961 0011 -352Societe Generale F 0058 0023 0144 0028 0827 0006 -2968Europeu F 0052 0031 0069 0012 0849 0007 -23ABC-Brasil F 0051 0028 0091 0015 0815 0003 -6225Dresdner F 0078 0017 0271 0071 0816 0005 -339AGF Braseg F 0050 0030 0094 0015 0797 0004 -4873HSBC F 0057 0045 0116 0016 0966 0006 -562Deutsche F 0066 0013 0151 0034 0858 0004 -3316BNP Paribas F 0050 0036 0071 0010 0823 0005 -3772Barclays F 0057 0024 0102 0025 0777 0007 -3003Rabobank Int Brasil SA F 0057 0021 0157 0026 0842 0003 -5266B Nat de Paris Brasil SA F 0059 0023 0102 0030 0812 0006 -3387Ibibank SA - Banco Multiplo F 0056 0012 0100 0023 0781 0015 -148Dresdner Bank - B Multiplo F 0084 0016 0237 0064 0771 0008 -2798Banco Westlb Do Brasil SA F 0061 0033 0101 0025 0841 0010 -1646Banco GE Capital SA F 0063 0031 0238 0044 0853 0010 -1548B Com Uruguai SA F 0074 0020 0226 0056 0833 0003 -51921S - State-owned bank N - National bank and F - Foreign bank

48

Table A10 Estimates of Lerner index and return to scale by bank - Model (5)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0043 0093 0012 0940 0007 -834Banrisul S 0054 0041 0083 0009 0949 0008 -668BEC S 0046 0020 0075 0014 0846 0009 -1719BRB S 0058 0032 0121 0017 0960 0002 -1607BB S 0056 0037 0087 0010 0981 0006 -321Caixa Economica Federal S 0061 0050 0156 0019 1044 0003 1282B da Amazonia SA S 0057 0016 0115 0023 0843 0008 -2023B do Estado Do Para SA S 0059 0027 0102 0020 0938 0004 -1608B do E Do Maranhao SA S 0052 0042 0064 0006 0939 0015 -418B do E Do Piauı SA - Bep S 0054 0029 0138 0025 0866 0004 -3097B do Estado De Sergipe SA S 0059 0024 0136 0020 0949 0004 -1404Nossa Caixa - N Banco SA S 0055 0036 0088 0013 0979 0004 -494Bradesco N 0056 0037 0108 0016 0918 0004 -2108Itau N 0058 0031 0213 0033 0894 0003 -3968Safra N 0052 0036 0086 0010 0881 0003 -4388Unibanco N 0053 0037 0085 0013 0892 0001 -7433Mercantil Do Brasil N 0057 0027 0086 0012 0943 0002 -2619BBM N 0075 0015 0292 0063 0784 0005 -447BMC N 0050 0029 0077 0012 0846 0003 -4648BMG N 0067 0017 0220 0051 0777 0003 -7116JMalucelli N 0049 0022 0083 0016 0718 0003 -8879PEBB N 0060 0017 0176 0044 0704 0008 -3743SS N 0059 0032 0223 0041 0798 0007 -2847Sofisa N 0055 0021 0112 0022 0804 0002 -9624BIC N 0060 0032 0238 0041 0853 0005 -2725Schahin N 0055 0028 0228 0038 0836 0006 -2575Stock N 0082 0019 0267 0068 0821 0006 -3063Pine N 0052 0022 0096 0018 0808 0004 -5392Socopa N 0055 0027 0113 0016 0889 0003 -3694Intercap N 0060 0023 0210 0037 0814 0006 -2856Indusval N 0062 0029 0245 0044 0857 0005 -3023Bonsucesso N 0053 0020 0113 0022 0781 0005 -3999Industrial do Brasil N 0051 0030 0084 0016 0808 0002 -9274Votorantim N 0052 0037 0130 0022 0816 0008 -2227Cacique N 0049 0024 0065 0012 0775 0005 -4632Inter Amex N 0052 0034 0067 0011 0837 0007 -2236Alfa N 0047 0041 0056 0004 0804 0002 -11448Rendimento N 0053 0022 0079 0011 0874 0008 -1549Bancoob N 0056 0050 0064 0005 0856 0003 -4874Original N 0087 0018 0288 0093 0728 0006 -4259Banco Intermedium SA N 0055 0027 0078 0019 0744 0006 -4047

Table A10 ndash Continue on next page

49

Table A10 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0217 0048 0763 0003 -7417Banco BBN SA N 0051 0026 0075 0014 0820 0012 -1504B Cooperativo Sicredi SA N 0051 0040 0061 0005 0876 0005 -2499B Cooperativo do Brasil SA N 0054 0043 0136 0019 0912 0006 -1445Banco Topazio SA N 0061 0034 0109 0026 0838 0006 -2897Banco Gerador SA N 0073 0052 0124 0026 0855 0008 -1918Banco Randon SA N 0120 0024 0327 0114 0785 0005 -4153Parana Banco SA N 0048 0026 0106 0020 0786 0008 -2732Banco Triangulo SA N 0055 0027 0111 0022 0834 0004 -4227Banco Guanabara SA N 0052 0024 0153 0024 0779 0004 -5589Banco Cedula SA N 0069 0012 0339 0062 0734 0003 -10232Banco Cacique SA N 0076 0027 0246 0076 0785 0016 -1317Banco Luso Brasileiro SA N 0067 0027 0207 0047 0852 0004 -3379Banco Pecunia SA N 0046 0038 0054 0006 0773 0003 -71Banco Zogbi SA N 0047 0037 0061 0010 0778 0001 -14931Banco Daycoval SA N 0054 0022 0126 0026 0782 0004 -5661Banco John Deere SA N 0056 0018 0129 0031 0756 0003 -8043Banco AJ Renner SA N 0053 0025 0080 0015 0829 0006 -2716ABN Amro F 0053 0038 0074 0012 0908 0002 -4751Chase F 0067 0014 0225 0047 0792 0008 -2693LLoyds F 0049 0025 0064 0012 0824 0003 -5227BankBoston F 0054 0037 0096 0020 0899 0006 -1701Santander Brasil F 0057 0033 0103 0019 0884 0008 -1511Citibank F 0059 0026 0154 0028 0871 0003 -4204BNL F 0052 0037 0097 0020 0840 0006 -28Sudameris F 0052 0045 0058 0005 0962 0011 -334Societe Generale F 0060 0023 0151 0031 0827 0006 -2924Europeu F 0050 0032 0066 0012 0849 0007 -2263ABC-Brasil F 0051 0025 0079 0014 0814 0003 -617Dresdner F 0080 0017 0276 0073 0816 0005 -3374AGF Braseg F 0050 0031 0093 0015 0796 0004 -4812HSBC F 0057 0043 0093 0011 0966 0006 -541Deutsche F 0066 0013 0155 0035 0858 0004 -3244BNP Paribas F 0050 0035 0067 0008 0822 0005 -3775Barclays F 0056 0024 0113 0025 0778 0007 -305Rabobank Int Brasil SA F 0057 0021 0163 0027 0842 0003 -5208B Nat de Paris Brasil SA F 0058 0022 0100 0029 0812 0006 -3343Ibibank SA - Banco Multiplo F 0057 0012 0099 0023 0780 0015 -1478Dresdner Bank - B Multiplo F 0087 0016 0244 0068 0770 0008 -2768Banco Westlb Do Brasil SA F 0063 0034 0106 0026 0841 0010 -1625Banco GE Capital SA F 0064 0032 0247 0046 0853 0010 -1522B Com Uruguai SA F 0073 0019 0191 0049 0833 0003 -50981S - State-owned bank N - National bank and F - Foreign bank

50

Table A11 Estimates of Lerner index and return to scale by bank - Model (6)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0036 0096 0015 0939 0007 -855Banrisul S 0050 0035 0098 0014 0938 0008 -82BEC S 0041 0019 0067 0012 0855 0009 -1644BRB S 0053 0029 0124 0018 0956 0002 -1996BB S 0051 0032 0088 0013 0954 0006 -807Caixa Economica Federal S 0054 0040 0094 0012 1014 0003 475B da Amazonia SA S 0053 0015 0103 0022 0846 0008 -205B do Estado Do Para SA S 0051 0028 0074 0013 0943 0004 -1319B do E Do Maranhao SA S 0041 0031 0059 0008 0950 0014 -346B do E Do Piauı SA - Bep S 0042 0028 0084 0012 0879 0004 -2727B do Estado De Sergipe SA S 0052 0022 0153 0022 0953 0003 -1377Nossa Caixa - N Banco SA S 0047 0032 0081 0014 0969 0004 -74Bradesco N 0052 0032 0097 0019 0898 0004 -2645Itau N 0054 0027 0190 0031 0877 0003 -4452Safra N 0049 0032 0100 0015 0872 0003 -5056Unibanco N 0043 0032 0067 0010 0878 0001 -8666Mercantil Do Brasil N 0053 0026 0087 0017 0938 0002 -3104BBM N 0066 0013 0251 0056 0792 0005 -4556BMC N 0041 0026 0069 0011 0850 0003 -4582BMG N 0067 0016 0228 0057 0781 0003 -6611JMalucelli N 0051 0022 0089 0017 0725 0003 -9344PEBB N 0046 0015 0157 0039 0728 0008 -3313SS N 0058 0025 0230 0046 0801 0007 -292Sofisa N 0053 0020 0119 0025 0809 0002 -8846BIC N 0060 0029 0262 0049 0852 0005 -2697Schahin N 0049 0025 0229 0040 0843 0006 -2523Stock N 0081 0017 0284 0072 0836 0005 -2986Pine N 0049 0021 0112 0019 0812 0004 -5267Socopa N 0050 0026 0095 0015 0900 0003 -3515Intercap N 0055 0021 0196 0035 0828 0006 -2899Indusval N 0061 0029 0262 0049 0863 0005 -2762Bonsucesso N 0052 0019 0123 0026 0791 0005 -3885Industrial do Brasil N 0046 0027 0088 0015 0816 0002 -8698Votorantim N 0051 0027 0139 0027 0813 0007 -262Cacique N 0039 0022 0050 0009 0784 0005 -4707Inter Amex N 0045 0027 0064 0012 0843 0006 -2493Alfa N 0044 0033 0068 0009 0805 0002 -12111Rendimento N 0050 0022 0073 0010 0883 0008 -1543Bancoob N 0066 0055 0072 0007 0856 0003 -4559Original N 0098 0020 0294 0094 0735 0006 -4509Banco Intermedium SA N 0057 0024 0085 0022 0756 0006 -4324

Table A11 ndash Continue on next page

51

Table A11 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0061 0017 0195 0048 0777 0003 -7233Banco BBN SA N 0042 0023 0059 0012 0831 0011 -1529B Cooperativo Sicredi SA N 0048 0035 0066 0009 0879 0005 -2672B Cooperativo do Brasil SA N 0046 0034 0119 0017 0917 0006 -1439Banco Topazio SA N 0070 0031 0129 0036 0853 0005 -2776Banco Gerador SA N 0086 0057 0148 0034 0867 0007 -1825Banco Randon SA N 0126 0028 0331 0114 0799 0005 -4136Parana Banco SA N 0039 0023 0082 0015 0798 0008 -2556Banco Triangulo SA N 0052 0025 0116 0025 0840 0004 -4363Banco Guanabara SA N 0048 0021 0100 0019 0792 0004 -5683Banco Cedula SA N 0067 0013 0356 0067 0749 0002 -10205Banco Cacique SA N 0067 0026 0232 0073 0792 0015 -1356Banco Luso Brasileiro SA N 0065 0025 0237 0052 0864 0004 -3163Banco Pecunia SA N 0037 0029 0045 0006 0786 0003 -7158Banco Zogbi SA N 0037 0027 0045 0007 0785 0002 -13921Banco Daycoval SA N 0053 0020 0120 0031 0787 0003 -6088Banco John Deere SA N 0043 0017 0099 0022 0764 0003 -8346Banco AJ Renner SA N 0050 0025 0080 0013 0840 0006 -2706ABN Amro F 0043 0035 0067 0008 0894 0002 -6685Chase F 0059 0014 0189 0040 0803 0007 -2772LLoyds F 0039 0021 0055 0012 0824 0003 -5536BankBoston F 0044 0029 0075 0015 0890 0006 -1965Santander Brasil F 0054 0028 0107 0024 0871 0008 -1694Citibank F 0054 0023 0133 0026 0863 0003 -4787BNL F 0042 0028 0078 0018 0843 0005 -2998Sudameris F 0041 0036 0052 0006 0948 0010 -491Societe Generale F 0054 0020 0118 0025 0834 0006 -2716Europeu F 0038 0029 0049 0008 0856 0006 -2239ABC-Brasil F 0046 0028 0084 0014 0816 0003 -6111Dresdner F 0063 0015 0239 0061 0823 0005 -3888AGF Braseg F 0047 0027 0074 0014 0807 0004 -4477HSBC F 0054 0032 0109 0018 0950 0006 -823Deutsche F 0058 0013 0122 0028 0863 0004 -305BNP Paribas F 0051 0032 0070 0011 0822 0004 -4145Barclays F 0064 0024 0128 0029 0802 0005 -4051Rabobank Int Brasil SA F 0051 0019 0130 0021 0846 0003 -4992B Nat de Paris Brasil SA F 0043 0019 0070 0019 0819 0005 -3429Ibibank SA - Banco Multiplo F 0049 0010 0083 0020 0785 0013 -161Dresdner Bank - B Multiplo F 0087 0016 0261 0066 0783 0007 -2901Banco Westlb Do Brasil SA F 0051 0030 0082 0019 0850 0009 -1643Banco GE Capital SA F 0053 0028 0239 0044 0859 0009 -1544B Com Uruguai SA F 0071 0017 0217 0054 0845 0003 -48451S - State-owned bank N - National bank and F - Foreign bank

52

Seacuterie de Textos para Discussatildeo do Curso de Ciecircncias Econocircmicas ndash FACEUFG ndash TD [078]

EDITORIAL FACE ndash Faculdade de Administraccedilatildeo Ciecircncias Contaacutebeis e Ciecircncias Econocircmicas Curso de Ciecircncias Econocircmicas Direccedilatildeo FACE Prof Moiseacutes Ferreira da Cunha Vice-Direccedilatildeo FACE Profordf Andreacutea Freire de Lucena Coordenaccedilatildeo do Curso de Ciecircncias Econocircmicas Prof Tiago Camarinha Lopes NEPEC ndash Nuacutecleo de Estudos e Pesquisas Econocircmicas Coordenaccedilatildeo Prof Seacutergio Fornazier Meyrelles Filho SEacuteRIE DE TEXTOS PARA DISCUSSAtildeO DO CURSO DE CIEcircNCIAS ECONOcircMICAS DA UFG Coordenaccedilatildeo e Equipe de Editoraccedilatildeo Prof Sandro Eduardo Monsueto Adriana Moura Guimaratildees Matheus Henrique de Arauacutejo Dutra

Endereccedilo Campus Samambaia Preacutedio da FACE ndash Rodovia GoiacircniaNova Veneza km 0 ndash CEP 74690-900 Goiacircnia ndash GO Tel (62) 3521 ndash 1390 URL httpwwwfaceufgbreconomia Publicaccedilatildeo cujo objetivo eacute divulgar resultados de estudos que contam com a participaccedilatildeo de pesquisadores do NEPEC As opiniotildees contidas nesta publicaccedilatildeo satildeo de inteira responsabilidade do(s) autor(es) natildeo representando necessariamente o ponto de vista do NEPEC ou da FACEUFG Eacute permitida a reproduccedilatildeo desde que citada a fonte

Page 27: 1(3(& )$&( 8)* · The Dark Side of Prudential MeasuresI Paulo R. Scalco a, Benjamin M. Tabak1, Anderson M. Teixeira aFaculty of Management, Accounting and Economics, Federal University

lower estimates than national and foreign banks respectively Also estimates of returns to

scale allow us to infer that FIs operate with diseconomies of scale

Concerning the impact of prudential measures on the market power of FIs our results

generally suggest that tightening of prudential measures have a positive impact on bank

mark-up and consequently have detrimental effects on competition in industry banking

Finally in future research it will be possible to better understand the influence of some

prudential measures in the banking market through the study by type of segment or line of

credit

25

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Altunbas Y Binici M amp Gambacorta L (2018) Macroprudential policy and bank risk Journal of

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Araujo L A D d amp Jorge Neto P d M (2007) Risco e competicao bancaria no Brasil Revista Brasileira

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Auer R amp Ongena S (2019) The countercyclical capital buffer and the composition of bank lending

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Ayyagari M Beck T amp Peria M (2018) The micro impact of macroprudential policies Firm-level

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Barbosa K de Paula Rocha B amp Salazar F (2015) Assessing competition in the banking indus-

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Belaisch A (2003) Do Brazilian Banks Compete SSRN Scholarly Paper ID 879189 Social Science Research

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Bikker J A Shaffer S amp Spierdijk L K (2012) Assessing competition with the panzar-rosse model

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Bresnahan T F (1982) The oligopoly solution concept is identified Economics Letters 10 87ndash92 URL

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Bresnahan T F amp Reiss P (1991) Entry and competition in concentrated markets Journal of Political

Economy 99 977ndash1009

Camors C amp Peydro J (2014) Macroprudential and monetary policy Loan-level evidence from reserve

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Cardoso M Azevedo P F amp Barbosa K (2016) Concorrencia no setor bancario brasileiro bancos

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Cerutti E Claessens S amp Laeven L (2017a) The use and effectiveness of macroprudential policies New

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Cerutti E Correa R Fiorentino E amp Segalla E (2016) Changes in prudential policy instruments ndash a

new cross-country database IMF Working Paper WP1610

Cerutti E Dagher J amp DellrsquoAriccia G (2017b) Housing finance and real-estate booms A cross-country

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Claessens S (2015) An overview of macroprudential policy tools Annual Re-

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Claessens S Ghosh S R amp Mihet R (2013) Macro-prudential policies to mitigate financial system

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Claessens S amp Laeven L (2004) What drives bank competition some international evidence Journal

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Coccorese P (2014) Estimating the Lerner index for the banking industry a stochastic frontier approach

Applied Financial Economics 24 73ndash88 URL httpdxdoiorg101080096031072013866202

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Coelho C A De Mello J M amp Rezende L (2013) Do Public Banks Compete with Private

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Cubillas E amp Suarez N (2018) Bank market power and lending during the global financial crisis Jour-

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Das A amp Kumbhakar S C (2016) Markup and efficiency of Indian banks an input distance func-

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Ely R Tabak B amp Teixeira A (2019) Heterogeneous effects of the implementation of macroprudential

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Freixas X Laeven L amp Peydro J-L (2015) Systemic Risk Crises and Macroprudential Regulation

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Galati G amp Moessner R (2013) Macroprudential policy ndash a literature review Jour-

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Gropp R Mosk T Ongena S amp Wix C (2018) Banks Response to Higher Cap-

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Hyde C E amp Perloff J M (1995) Can market power be estimated Review of Industrial Organization 10

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Igan D amp Kang H (2011) Do loan-to-value and debt-to-income limits work evidence from korea IMF

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Jimenez G Ongena S Peydro J-L amp Saurina J (2017) Macroprudential policy countercyclical bank

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Jondrow J Knox Lovell C A Materov I S amp Schmidt P (1982) On the estimation of technical

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Klingelhoger J amp Sun R (2019) Macruprudential policy central banks and financial stability Evidence

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Kumbhakar S C (2012) Specification and estimation of primal production models European Journal

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Kumbhakar S C Baardsen S amp Lien G (2012) A New Method for Estimating Market Power with

an Application to Norwegian Sawmilling Review of Industrial Organization 40 109ndash129 URL http

linkspringercomarticle101007s11151-012-9339-7 doi101007s11151-012-9339-7

Lerner A P (1934) The Concept of Monopoly and the Measurement of Monopoly Power The Review

of Economic Studies 1 157ndash175 URL httprestudoxfordjournalsorglookupdoi102307

2967480 doi1023072967480

Lim C H Costa A Columba F Kongsamut P Otani A Saiyid M Wezel T amp Wu X (2011)

Macroprudential policy what instruments and how to use them lessons from country experiences IMF

working papers (pp 1ndash85)

Lopez R A He X amp Azzam A (2018) Stochastic frontier estimation of market

28

power in the food industries Journal of Agricultural Economics 69 3ndash17 URL https

onlinelibrarywileycomdoiabs1011111477-955212219 doi1011111477-955212219

arXivhttpsonlinelibrarywileycomdoipdf1011111477-955212219

Lucinda C R (2010) Competition in the Brazilian loan market an empirical analysis Estudos Economicos

(Sao Paulo) 40 831ndash858 URL httpwwwscielobrscielophpscript=sci_abstractamppid=

S0101-41612010000400004amplng=enampnrm=isoamptlng=en doi101590S0101-41612010000400004

Moreno R (2011) Policymaking from arsquomacroprudentialrsquoperspective in emerging market economies

Nakane M I (2002) A test of competition in brazilian banking Estudos Economicos (Sao Paulo) 32

203ndash224 URL httpwwwrevistasuspbreearticleview117799

Panzar J C amp Rosse J N (1987) Testing for rdquomonopolyrdquo equilibrium The Journal of Industrial

Economics 35 443ndash456 URL httpwwwjstororgstable2098582 doi1023072098582

Richter B Schularick M amp Shim I (2019) The costs of macroprudential policy Journal of Inter-

national Economics 118 263 ndash 282 URL httpwwwsciencedirectcomsciencearticlepii

S0022199618302617 doihttpsdoiorg101016jjinteco201811011

Schmalensee R (1989) Chapter 16 inter-industry studies of structure and performance In Hand-

book of Industrial Organization (pp 951ndash1009) Elsevier BV URL httpdxdoiorg101016

s1573-448x(89)02004-2 doi101016s1573-448x(89)02004-2

Silva M S d () Avaliacao do processo de concentracao-competicao no setor bancario brasileiro URL

httpwwwbcbgovbrpecwpsporttd377pdf

Tabak B amp Gomes G (2015) The impact of market power at bank level in risk-taking The brazilian

case International Review of Financial Analysis 40 154ndash165

Tabak B M Fazio D M amp Cajueiro D O (2012) The relationship between banking market competition

and risk-taking Do size and capitalization matter 36 3366ndash3381 URL httpwwwsciencedirect

comsciencearticlepiiS0378426612002026 doi101016jjbankfin201207022

Wong T Fong T Li K-f amp Choi H (2011) Loan-to-value ratio as a macroprudential tool-hong kongrsquos

experience and cross-country evidence

Zhang L amp Zoli E (2016) Leaning against the wind Macroprudential policy in asia Journal of Asian

Economics 42 33ndash52

29

Figure 1 Evolution of the Herfindahl Index (HHI) over time using credit and total assets for theBrazilian banking system

30

Figure 2 Marginal effects of HHI and prudential instruments (Capital Buffer Capital RequirementLTV Reserve Requirement (Foreign) Reserve Requirement (domestic) and cumulative prud) on the

mark-up u component

31

Figure 3 Frequency distribution of Lerner indexes for each model and density estimation Kernel by typeof control

32

Figure 4 Lerner indexes according to the size (market share) of banksrsquo assets

33

Figure 5 Average Lerner indices for each model between 2000q2 and 2014q4

34

Figure 6 Average Lerner indices estimated for public private national and private foreign banks between2000q2 and 2014q4

35

Figure 7 Frequency distribution of the returns to scale indexes for each model and density estimationKernel by type of control

36

Table 1 Variables used to IDF estimatation

Variabel Description SourceBasic variables

TR Total Revenue = Gross Insterest Income (a) + Bank-ing Service Fee Income (d1) + Banking Fee Income(d2) + Other Operating Income (d7)

Inc statIFData

TC Total Cost = Interest Expenses (b) + Personnel Ex-penses (d3) + Administrative Expenses (d4) + TaxExpenses (d5) + Other Operating Expenses (d8)

Inc statIFData

Y Loan Lease and Other Credit Operations by RiskLevel

SummaryIFData

x1 Personnel Expenses (d3) Inc statIFDatax2 Funding (e) LiabilitiesIFDatax3 Equity (j) LiabilitiesIFData

Model variabelslnRC Log of Revenue-Cost ratiolnY Log of total loanlnx1 Log of personnel expenses and equity ratio (x1x3)lnx2 Log of funding and equity ratio (x2x3)T Time

Prudential variables - Deterministic mark-up parametersHHIt HHIt =

sumS2it where Sit

2 is market share of totalasset of bank i on time t

Inc statIFData

cb cumulative change of capital buffer Cerutti et al (2016)cr cumulative change of capital requirement Cerutti et al (2016)ltv cumulative change of loan-to-value Cerutti et al (2016)

rr foreign cumulative change of reserve requirement (foreigncurrency)

Cerutti et al (2016)

rr local cumulative change of reserve requirement (domesticcurrency)

Cerutti et al (2016)

37

Table 2 Results of IDF estimation

Parameters VariablesEstimates

Model Model Model Model Model Model(1) (2) (3) (4) (5) (6)

Parametros da funcao insumo distanciaαY Y lnY -0013 -0003 -0004 -0012 -0011 -0005

(000) (000) (000) (000) (000) (000)α1Y lnx1 -0096 -0095 -0094 -0094 -0096 -0090

(001) (001) (001) (001) (001) (001)α2Y lnx2 -0019 -0022 -0022 -0019 -0020 -0021

(001) (001) (001) (001) (001) (001)αY T T -0000 -0000 -0000 -0000 -0000 -0000

(000) (000) (000) (000) (000) (000)αY const 1153 1010 1035 1134 1129 1057

(005) (007) (005) (005) (005) (006)

Deterministic Mark-up parametersδ1 HHI 764157

(12270)δ1 Capital

Buffer7586(065)

δ2 CapitalReq

4696(160)

δ1 Loan-to-value38511(671)

δ1 ResR(foreign)10730(433)

δ2 ResR(local)2869(126)

δ1 Cum Prud3237(020)

δ0 const minus10601minus10194minus5306 minus9866 minus8577 minus4993(032) (2064) (316) (079) (119) (122)

Distribution of u and vσ2u 2840 1418 1620 2643 2441 1593σ2v 0118 0121 0120 0118 0118 0120λ 2402 1172 1354 2233 2065 1325Log Lik 887404 922033 918606 896019 891991 907817

EstimatesEstimates of Mark-up (u)Avg 0075 0065 0068 0074 0075 00691st quartile 0052 0038 0051 0051 0051 0044Median 0062 0048 0060 0060 0061 00543st quartile 0080 0074 0079 0079 0079 0075std-dev 0053 0054 0053 0053 0054 0054

Note p lt 010 p lt 005 and p lt 001

38

Table 3 Estimates of Lerner index general and by type of control

EstimatesModel Model Model Model Model Model

(1) (2) (3) (4) (5) (6)Mark-up (L) generalAverage 0058 0051 0053 0057 0058 0053std-dev 0032 0034 0034 0032 0032 00331st quartile 0043 0031 0034 0041 0042 0036Median 0051 0039 0044 0050 0050 00453st quartile 0063 0060 0059 0063 0063 0060Mark-up (L) State-owned banksAverage 0057 0047 0049 0056 0056 0050std-dev 0018 0017 0017 0018 0016 00161st quartile 0047 0035 0038 0045 0046 0040Median 0054 0041 0046 0053 0053 00463st quartile 0064 0056 0056 0064 0063 0057Mark-up (L) National banksAverage 0057 0052 0054 0057 0057 0054std-dev 0034 0038 0038 0035 0035 00371st quartile 0041 0030 0033 0040 0041 0035Median 0050 0038 0043 0048 0049 00443st quartile 0061 0061 0060 0061 0062 0060Mark-up (L) Foreign banksAverage 0061 0050 0053 0059 0060 0054std-dev 0034 0033 0032 0034 0034 00321st quartile 0042 0031 0034 0041 0042 0036Median 0052 0040 0044 0051 0051 00453st quartile 0068 0059 0060 0066 0066 0061

Table 4 Estimates of returns to scale by control type and general

ModelState-owned

banksNational

banksForeignbanks

General std-dev Min Max

1 0944 0824 0842 0848 0073 0665 11242 0940 0829 0843 0851 0066 0690 10733 0938 0827 0842 0849 0066 0689 10764 0941 0824 0842 0848 0071 0671 11115 0942 0824 0841 0848 0072 0669 11136 0937 0829 0844 0850 0065 0692 1073

39

Appendix A Attachment Tables

Table A5 Cumulative change on Prudential Measures intensity

TimeCapitalBuffer 2

(cb)

CapitalReq(cr)

Loan-to-Value(ltv)

Reserve Reqlocal curr

(RR local)

Reserve Reqforeign cur

(RR foreign)

CumulativePrudential 3

(Cum Prud)2000q2 -1 0 0 0 -2 -32000q4 -1 0 0 0 -2 -32001q2 -1 0 0 0 -2 -32001q4 0 0 0 0 -1 -12002q2 0 0 0 0 0 02002q4 2 0 0 0 2 42003q2 0 0 0 0 3 32003q4 0 0 0 0 2 22004q2 0 0 0 0 2 22004q4 0 0 0 0 2 22005q2 0 0 0 0 2 22005q4 0 0 0 0 2 22006q2 0 0 0 0 2 22006q4 0 0 0 0 2 22007q2 2 0 0 0 2 42007q4 2 0 0 0 2 42008q2 2 0 0 0 2 42008q4 2 0 0 0 1 32009q2 2 0 0 0 0 22009q4 2 0 0 0 -1 12010q2 2 0 0 0 1 32010q4 3 0 0 0 3 62011q2 3 0 0 1 3 72011q4 4 0 0 2 3 92012q2 3 1 0 2 3 92012q4 3 1 0 1 2 72013q2 3 2 0 0 2 72013q4 3 2 1 0 2 82014q2 3 2 1 0 2 82014q4 2 2 1 0 3 82Sum of capital buffer and others 3Aggregate measure (It is the sum of the change of all other instrument)

40

Table A6 Estimates of Lerner index and return to scale by bank - Model (1)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0042 0082 0009 0940 0007 -85Banrisul S 0055 0041 0084 0009 0952 0008 -635BEC S 0048 0021 0077 0016 0844 0009 -1756BRB S 0058 0033 0100 0015 0961 0003 -1533BB S 0058 0039 0098 0012 0990 0006 -173Caixa Economica Federal S 0063 0051 0174 0022 1052 0004 1458B da Amazonia SA S 0057 0016 0124 0023 0844 0008 -2028B do Estado Do Para SA S 0061 0026 0110 0022 0936 0004 -1764B do Est do Maranhao SA S 0055 0046 0065 0006 0935 0014 -455B do Est do Piauı SA - Bep S 0057 0030 0155 0029 0862 0004 -326B do Estado De Sergipe SA S 0061 0024 0135 0022 0947 0004 -1453Nossa Caixa - N Banco SA S 0057 0036 0090 0013 0981 0004 -444Bradesco N 0056 0038 0114 0015 0925 0004 -1945Itau N 0059 0031 0220 0033 0901 0003 -3797Safra N 0053 0037 0085 0009 0885 0003 -4215Unibanco N 0055 0037 0088 0014 0897 0001 -7054Mercantil Do Brasil N 0057 0027 0077 0011 0945 0002 -2527BBM N 0076 0016 0300 0065 0783 0005 -4464BMC N 0052 0030 0079 0012 0845 0003 -4703BMG N 0065 0017 0208 0045 0779 0003 -729JMalucelli N 0047 0022 0069 0013 0718 0003 -8765PEBB N 0065 0017 0181 0047 0698 0008 -3914SS N 0057 0034 0220 0037 0799 0007 -2839Sofisa N 0054 0021 0092 0020 0804 0002 -9903BIC N 0060 0034 0236 0040 0855 0005 -276Schahin N 0056 0028 0214 0035 0835 0006 -262Stock N 0081 0020 0267 0067 0817 0006 -3107Pine N 0052 0022 0108 0019 0808 0004 -545Socopa N 0056 0027 0120 0017 0886 0003 -3806Intercap N 0060 0023 0212 0037 0812 0007 -2851Indusval N 0062 0030 0246 0043 0857 0005 -3139Bonsucesso N 0052 0020 0092 0018 0779 0005 -4033Industrial do Brasil N 0051 0031 0081 0016 0807 0002 -952Votorantim N 0052 0037 0107 0017 0819 0009 -2117Cacique N 0053 0024 0071 0014 0774 0005 -4621Inter Amex N 0055 0037 0068 0010 0837 0008 -2158Alfa N 0048 0041 0059 0005 0806 0002 -11303Rendimento N 0053 0022 0080 0012 0872 0008 -1562Bancoob N 0052 0046 0056 0003 0856 0003 -5061Original N 0085 0017 0279 0090 0729 0007 -4163Banco Intermedium SA N 0052 0028 0070 0015 0743 0006 -3973

Table A6 ndash Continue on next page

41

Table A6 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0225 0049 0761 0003 -7509Banco BBN SA N 0053 0027 0077 0014 0817 0012 -1509B Cooperativo Sicredi SA N 0052 0043 0062 0005 0875 0005 -2477B Cooperativo do Brasil SA N 0056 0046 0142 0020 0910 0006 -1479Banco Topazio SA N 0060 0035 0110 0027 0834 0006 -2966Banco Gerador SA N 0069 0045 0122 0028 0852 0008 -1968Banco Randon SA N 0109 0023 0320 0109 0783 0005 -4158Parana Banco SA N 0050 0026 0108 0020 0784 0008 -2799Banco Triangulo SA N 0055 0028 0091 0020 0833 0004 -4201Banco Guanabara SA N 0052 0024 0169 0025 0777 0004 -5588Banco Cedula SA N 0068 0012 0339 0061 0731 0003 -10236Banco Cacique SA N 0077 0028 0248 0077 0785 0016 -1309B Luso Brasileiro SA N 0065 0027 0208 0043 0849 0004 -349Banco Pecunia SA N 0047 0039 0060 0006 0770 0003 -7086Banco Zogbi SA N 0051 0038 0067 0011 0778 0001 -15193Banco Daycoval SA N 0054 0023 0131 0026 0783 0004 -5522B John Deere SA N 0059 0018 0133 0033 0756 0003 -7955Banco AJ Renner SA N 0053 0025 0081 0015 0827 0006 -2742ABN Amro F 0056 0039 0079 0014 0914 0002 -427Chase F 0068 0014 0228 0049 0790 0008 -2678LLoyds F 0053 0027 0064 0012 0825 0003 -5159BankBoston F 0057 0040 0099 0020 0902 0006 -1638Santander Brasil F 0057 0034 0097 0017 0890 0008 -146Citibank F 0059 0026 0153 0028 0875 0003 -4039BNL F 0055 0041 0097 0019 0840 0006 -2767Sudameris F 0056 0048 0065 0005 0966 0012 -297Societe Generale F 0060 0024 0153 0031 0826 0006 -299Europeu F 0054 0032 0073 0013 0848 0007 -2287ABC-Brasil F 0052 0025 0082 0014 0815 0003 -6207Dresdner F 0083 0017 0280 0074 0815 0006 -3234AGF Braseg F 0051 0031 0100 0016 0794 0004 -4923HSBC F 0057 0046 0092 0010 0971 0006 -466Deutsche F 0068 0013 0160 0036 0857 0004 -3335BNP Paribas F 0050 0037 0068 0007 0824 0005 -3665Barclays F 0052 0024 0089 0021 0771 0008 -2787Rabobank Int Brasil SA F 0058 0022 0166 0028 0842 0003 -5284B Nat de Paris Br SA F 0063 0023 0109 0033 0811 0006 -3331Ibibank SA - Banco Multiplo F 0059 0012 0106 0024 0781 0015 -1441Dresdner Bank - B Multiplo F 0086 0016 0244 0068 0768 0008 -2746Banco Westlb Do Brasil SA F 0064 0034 0108 0027 0839 0010 -1626Banco GE Capital SA F 0067 0032 0247 0047 0852 0010 -1527B Com Uruguai SA F 0072 0020 0192 0049 0830 0003 -52281S - State-owned bank N - National bank and F - Foreign bank

42

Table A7 Estimates of Lerner index and return to scale by bank - Model (2)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0049 0032 0085 0016 0944 0008 -716Banrisul S 0049 0032 0106 0017 0939 0008 -75BEC S 0032 0016 0046 0008 0860 0009 -1489BRB S 0049 0030 0112 0017 0961 0002 -1681BB S 0049 0032 0091 0016 0948 0006 -845Caixa Economica Federal S 0052 0034 0081 0014 1012 0003 382B da Amazonia SA S 0053 0015 0140 0028 0847 0008 -1922B do Estado Do Para SA S 0046 0029 0063 0009 0952 0005 -963B do Est do Maranhao SA S 0036 0029 0045 0005 0963 0016 -235B do Est do Piauı SA - Bep S 0036 0023 0071 0011 0888 0005 -2314B do Estado De Sergipe SA S 0050 0020 0155 0024 0962 0004 -1043Nossa Caixa - N Banco SA S 0039 0027 0074 0011 0972 0005 -601Bradesco N 0050 0028 0116 0023 0890 0004 -2618Itau N 0052 0024 0222 0037 0869 0003 -4269Safra N 0046 0028 0100 0017 0867 0003 -5042Unibanco N 0035 0028 0054 0007 0873 0001 -8511Mercantil Do Brasil N 0051 0029 0093 0019 0941 0002 -2837BBM N 0063 0012 0213 0048 0790 0005 -4494BMC N 0034 0023 0049 0007 0851 0003 -4266BMG N 0065 0015 0233 0057 0776 0004 -6135JMalucelli N 0052 0018 0080 0016 0720 0003 -9566PEBB N 0037 0014 0108 0025 0732 0009 -3086SS N 0056 0024 0236 0046 0797 0007 -2849Sofisa N 0052 0018 0107 0028 0808 0002 -8115BIC N 0057 0026 0259 0050 0850 0006 -2531Schahin N 0047 0022 0225 0041 0845 0007 -2359Stock N 0078 0017 0287 0071 0843 0006 -2782Pine N 0048 0018 0114 0023 0811 0004 -4973Socopa N 0050 0022 0136 0024 0908 0003 -3089Intercap N 0051 0019 0133 0031 0832 0006 -2759Indusval N 0061 0023 0267 0052 0866 0006 -2437Bonsucesso N 0050 0017 0109 0026 0791 0006 -3655Industrial do Brasil N 0044 0024 0079 0015 0816 0002 -8095Votorantim N 0048 0025 0120 0026 0807 0007 -2721Cacique N 0033 0020 0039 0006 0782 0005 -4597Inter Amex N 0035 0025 0045 0007 0844 0006 -2419Alfa N 0042 0029 0069 0013 0801 0002 -12139Rendimento N 0049 0019 0077 0015 0889 0008 -1394Bancoob N 0065 0057 0073 0006 0855 0003 -4199Original N 0099 0019 0299 0096 0732 0006 -4473Banco Intermedium SA N 0062 0032 0081 0019 0754 0006 -4393

Table A7 ndash Continue on next page

43

Table A7 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0059 0016 0239 0051 0778 0003 -6944Banco BBN SA N 0035 0020 0053 0009 0834 0011 -1466B Cooperativo Sicredi SA N 0045 0032 0070 0011 0881 0005 -2581B Cooperativo do Brasil SA N 0045 0029 0147 0025 0922 0006 -1274Banco Topazio SA N 0076 0043 0138 0038 0861 0005 -2569Banco Gerador SA N 0089 0054 0153 0037 0874 0008 -1645Banco Randon SA N 0122 0029 0335 0113 0803 0005 -388Parana Banco SA N 0033 0020 0062 0011 0800 0009 -234Banco Triangulo SA N 0052 0022 0105 0027 0841 0004 -4148Banco Guanabara SA N 0046 0019 0091 0020 0793 0004 -5561Banco Cedula SA N 0062 0011 0359 0067 0749 0003 -9911Banco Cacique SA N 0049 0020 0157 0048 0791 0016 -1315Banco Luso Brasileiro SA N 0066 0022 0241 0055 0870 0005 -2851Banco Pecunia SA N 0032 0027 0036 0003 0787 0003 -6876Banco Zogbi SA N 0032 0026 0037 0005 0784 0002 -13006Banco Daycoval SA N 0053 0019 0139 0036 0784 0004 -6065Banco John Deere SA N 0035 0016 0073 0016 0761 0003 -8278Banco AJ Renner SA N 0047 0021 0083 0015 0844 0006 -2553ABN Amro F 0035 0027 0047 0006 0889 0002 -7231Chase F 0054 0013 0157 0033 0804 0007 -2702LLoyds F 0033 0020 0043 0008 0821 0003 -5429BankBoston F 0036 0026 0060 0011 0888 0006 -1917Santander Brasil F 0055 0025 0115 0030 0864 0008 -1647Citibank F 0051 0020 0132 0025 0860 0003 -4735BNL F 0036 0026 0062 0012 0843 0005 -2959Sudameris F 0036 0031 0040 0004 0949 0011 -468Societe Generale F 0051 0018 0104 0024 0835 0007 -2454Europeu F 0034 0025 0041 0006 0859 0007 -2076ABC-Brasil F 0043 0026 0086 0015 0813 0003 -5797Dresdner F 0050 0014 0190 0046 0824 0004 -3975AGF Braseg F 0044 0024 0068 0014 0810 0005 -4109HSBC F 0052 0031 0110 0021 0948 0007 -776Deutsche F 0054 0012 0166 0030 0866 0005 -2754BNP Paribas F 0049 0028 0073 0013 0818 0004 -4092Barclays F 0065 0028 0121 0027 0811 0005 -4028Rabobank Int Brasil SA F 0047 0017 0102 0017 0845 0003 -4605B Nat de Paris Brasil SA F 0036 0017 0054 0013 0819 0005 -3304Ibibank SA - Banco Multiplo F 0043 0010 0114 0025 0782 0013 -1623Dresdner Bank - B Multiplo F 0096 0015 0270 0076 0785 0007 -2924Banco Westlb Do Brasil SA F 0041 0026 0062 0013 0853 0010 -154Banco GE Capital SA F 0054 0026 0253 0049 0862 0010 -1444B Com Uruguai SA F 0070 0017 0220 0058 0849 0003 -4471S - State-owned bank N - National bank and F - Foreign bank

44

Table A8 Estimates of Lerner index and return to scale by bank - Model (3)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0034 0090 0016 0941 0008 -772Banrisul S 0051 0032 0108 0016 0938 0008 -772BEC S 0035 0018 0051 0009 0856 0009 -1562BRB S 0052 0032 0122 0018 0958 0002 -1793BB S 0052 0035 0085 0015 0951 0006 -809Caixa Economica Federal S 0054 0039 0098 0014 1015 0003 465B da Amazonia SA S 0053 0014 0113 0024 0845 0008 -1977B do Estado Do Para SA S 0049 0028 0071 0010 0947 0005 -1117B do E do Maranhao SA S 0041 0032 0059 0008 0957 0015 -285B do E do Piauı SA - Bep S 0041 0028 0086 0014 0882 0005 -2518B do Estado De Sergipe SA S 0052 0021 0145 0022 0957 0004 -1182Nossa Caixa - N Banco SA S 0045 0029 0081 0015 0971 0005 -651Bradesco N 0052 0029 0101 0021 0893 0004 -2614Itau N 0054 0025 0203 0034 0872 0003 -4328Safra N 0048 0029 0093 0015 0869 0003 -5008Unibanco N 0041 0028 0067 0010 0874 0001 -8514Mercantil Do Brasil N 0053 0026 0095 0018 0939 0002 -29BBM N 0067 0013 0250 0056 0789 0005 -4501BMC N 0038 0024 0069 0010 0849 0003 -4408BMG N 0067 0015 0233 0058 0776 0004 -6374JMalucelli N 0052 0022 0087 0016 0720 0003 -9426PEBB N 0045 0014 0158 0040 0727 0009 -3192SS N 0057 0025 0231 0046 0797 0007 -287Sofisa N 0053 0018 0116 0026 0807 0002 -8444BIC N 0059 0030 0250 0049 0850 0006 -2596Schahin N 0048 0023 0220 0038 0842 0007 -2424Stock N 0083 0017 0304 0077 0838 0006 -2873Pine N 0049 0019 0105 0020 0810 0004 -5103Socopa N 0050 0026 0111 0018 0903 0003 -3253Intercap N 0055 0020 0196 0036 0828 0006 -283Indusval N 0062 0029 0282 0052 0863 0005 -2588Bonsucesso N 0051 0017 0118 0025 0789 0006 -3771Industrial do Brasil N 0046 0025 0086 0015 0815 0002 -8341Votorantim N 0050 0027 0128 0027 0809 0007 -2664Cacique N 0037 0020 0048 0009 0781 0005 -4645Inter Amex N 0039 0026 0058 0009 0842 0006 -2468Alfa N 0044 0031 0072 0011 0801 0002 -11998Rendimento N 0049 0022 0078 0011 0885 0008 -1463Bancoob N 0066 0057 0077 0007 0854 0003 -4342Original N 0102 0019 0301 0096 0730 0006 -4526Banco Intermedium SA N 0059 0027 0083 0020 0752 0006 -4354

Table A8 ndash Continue on next page

45

Table A8 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0017 0217 0054 0776 0003 -7084Banco BBN SA N 0038 0022 0058 0010 0831 0011 -1492B Cooperativo Sicredi SA N 0047 0035 0071 0010 0879 0005 -259B Cooperativo do Brasil SA N 0046 0035 0128 0020 0919 0006 -1339Banco Topazio SA N 0075 0036 0153 0041 0855 0005 -2657Banco Gerador SA N 0091 0057 0144 0034 0869 0008 -173Banco Randon SA N 0124 0029 0332 0112 0799 0005 -4023Parana Banco SA N 0036 0021 0071 0012 0797 0008 -2452Banco Triangulo SA N 0053 0023 0115 0027 0839 0004 -4256Banco Guanabara SA N 0047 0020 0100 0019 0790 0004 -561Banco Cedula SA N 0066 0012 0362 0068 0747 0003 -10082Banco Cacique SA N 0063 0026 0231 0074 0789 0016 -1336Banco Luso Brasileiro SA N 0066 0026 0249 0053 0865 0005 -2985Banco Pecunia SA N 0034 0029 0041 0004 0784 0003 -7038Banco Zogbi SA N 0036 0027 0046 0006 0782 0002 -13399Banco Daycoval SA N 0054 0019 0131 0034 0784 0004 -607Banco John Deere SA N 0039 0015 0083 0018 0761 0003 -8316Banco AJ Renner SA N 0049 0024 0073 0013 0840 0006 -2621ABN Amro F 0041 0030 0066 0009 0890 0002 -6866Chase F 0059 0013 0173 0039 0801 0007 -2733LLoyds F 0038 0021 0055 0010 0821 0003 -5484BankBoston F 0040 0028 0063 0012 0888 0006 -1931Santander Brasil F 0056 0028 0107 0027 0866 0008 -1663Citibank F 0052 0022 0123 0023 0860 0003 -4735BNL F 0039 0028 0063 0014 0841 0005 -2966Sudameris F 0041 0036 0052 0006 0948 0011 -473Societe Generale F 0052 0020 0103 0022 0833 0006 -2579Europeu F 0038 0030 0049 0007 0856 0007 -2153ABC-Brasil F 0046 0029 0079 0014 0813 0003 -5935Dresdner F 0055 0014 0212 0052 0822 0005 -3913AGF Braseg F 0046 0027 0071 0014 0806 0005 -4276HSBC F 0053 0032 0101 0019 0949 0007 -784Deutsche F 0058 0013 0141 0029 0863 0005 -2878BNP Paribas F 0051 0030 0074 0012 0818 0004 -4118Barclays F 0066 0025 0130 0030 0805 0005 -4123Rabobank Int Brasil SA F 0049 0019 0109 0018 0844 0003 -4752B Nat de Paris Brasil SA F 0041 0019 0069 0018 0817 0005 -3368Ibibank SA - Banco Multiplo F 0046 0010 0095 0021 0781 0014 -1617Dresdner Bank - B Multiplo F 0093 0017 0282 0072 0782 0008 -2899Banco Westlb Do Brasil SA F 0044 0027 0069 0015 0850 0009 -1591Banco GE Capital SA F 0055 0026 0249 0046 0859 0009 -1489B Com Uruguai SA F 0071 0017 0228 0056 0845 0003 -46241S - State-owned bank N - National bank and F - Foreign bank

46

Table A9 Estimates of Lerner index and return to scale by bank - Model (4)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0054 0041 0078 0011 0939 0007 -873Banrisul S 0055 0040 0106 0014 0948 0008 -692BEC S 0046 0020 0072 0014 0846 0009 -1746BRB S 0057 0032 0094 0016 0959 0002 -1673BB S 0057 0038 0095 0014 0981 0006 -33Caixa Economica Federal S 0061 0049 0165 0021 1042 0003 1249B da Amazonia SA S 0056 0015 0117 0022 0844 0008 -2047B do Estado Do Para SA S 0059 0025 0103 0020 0936 0004 -1701B do E Do Maranhao SA S 0052 0044 0062 0005 0936 0014 -448B do E Do Piauı SA - Bep S 0054 0029 0147 0028 0865 0004 -3201B do Estado De Sergipe SA S 0061 0023 0168 0026 0947 0004 -1484Nossa Caixa - N Banco SA S 0054 0035 0085 0012 0977 0004 -547Bradesco N 0056 0036 0107 0017 0919 0004 -2123Itau N 0058 0030 0212 0032 0896 0003 -3979Safra N 0052 0035 0107 0013 0882 0003 -445Unibanco N 0052 0035 0082 0013 0892 0001 -7446Mercantil Do Brasil N 0057 0027 0093 0015 0942 0002 -2687BBM N 0075 0015 0294 0064 0784 0005 -4512BMC N 0050 0029 0074 0011 0846 0003 -472BMG N 0065 0016 0202 0047 0779 0003 -7192JMalucelli N 0048 0022 0071 0014 0720 0003 -8923PEBB N 0061 0016 0172 0044 0704 0008 -382SS N 0056 0033 0213 0037 0799 0007 -2875Sofisa N 0053 0020 0087 0019 0805 0002 -9731BIC N 0061 0033 0269 0048 0854 0005 -2768Schahin N 0053 0027 0205 0034 0836 0006 -2627Stock N 0081 0020 0265 0068 0820 0006 -3122Pine N 0052 0022 0118 0021 0808 0004 -5467Socopa N 0054 0026 0114 0016 0888 0003 -3785Intercap N 0057 0023 0203 0035 0815 0006 -2877Indusval N 0062 0029 0239 0043 0857 0005 -3085Bonsucesso N 0052 0019 0088 0018 0782 0005 -403Industrial do Brasil N 0050 0030 0076 0015 0809 0002 -9427Votorantim N 0051 0036 0102 0017 0817 0008 -2222Cacique N 0050 0023 0067 0013 0776 0005 -4659Inter Amex N 0052 0035 0064 0009 0837 0007 -2226Alfa N 0048 0039 0071 0007 0805 0002 -11484Rendimento N 0052 0022 0076 0013 0874 0008 -1571Bancoob N 0057 0045 0071 0011 0855 0003 -5022Original N 0094 0017 0278 0090 0730 0006 -4242Banco Intermedium SA N 0049 0027 0065 0014 0746 0006 -4054

Table A9 ndash Continue on next page

47

Table A9 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0019 0220 0050 0764 0003 -7516Banco BBN SA N 0050 0027 0072 0013 0819 0012 -1529B Cooperativo Sicredi SA N 0051 0041 0068 0006 0875 0005 -2551B Cooperativo do Brasil SA N 0053 0044 0134 0018 0910 0006 -151Banco Topazio SA N 0066 0035 0128 0036 0837 0005 -2981Banco Gerador SA N 0082 0045 0157 0043 0854 0007 -1967Banco Randon SA N 0106 0026 0312 0105 0786 0005 -4204Parana Banco SA N 0048 0025 0102 0018 0787 0008 -2768Banco Triangulo SA N 0054 0027 0088 0021 0834 0004 -427Banco Guanabara SA N 0051 0023 0161 0025 0780 0004 -5659Banco Cedula SA N 0069 0012 0360 0065 0735 0003 -1028Banco Cacique SA N 0073 0027 0240 0075 0786 0016 -1327Banco Luso Brasileiro SA N 0065 0026 0242 0047 0852 0004 -346Banco Pecunia SA N 0045 0037 0056 0006 0773 0003 -7139Banco Zogbi SA N 0048 0036 0064 0010 0779 0001 -15057Banco Daycoval SA N 0055 0022 0126 0030 0784 0004 -568Banco John Deere SA N 0056 0018 0125 0031 0757 0003 -8084Banco AJ Renner SA N 0051 0025 0077 0013 0829 0006 -2763ABN Amro F 0053 0038 0074 0013 0909 0002 -4803Chase F 0066 0014 0220 0046 0793 0008 -2711LLoyds F 0050 0026 0060 0011 0825 0003 -5323BankBoston F 0054 0038 0092 0018 0899 0006 -1734Santander Brasil F 0056 0033 0098 0019 0885 0007 -1529Citibank F 0059 0025 0145 0030 0872 0003 -421BNL F 0052 0039 0091 0018 0840 0006 -2854Sudameris F 0053 0046 0062 0005 0961 0011 -352Societe Generale F 0058 0023 0144 0028 0827 0006 -2968Europeu F 0052 0031 0069 0012 0849 0007 -23ABC-Brasil F 0051 0028 0091 0015 0815 0003 -6225Dresdner F 0078 0017 0271 0071 0816 0005 -339AGF Braseg F 0050 0030 0094 0015 0797 0004 -4873HSBC F 0057 0045 0116 0016 0966 0006 -562Deutsche F 0066 0013 0151 0034 0858 0004 -3316BNP Paribas F 0050 0036 0071 0010 0823 0005 -3772Barclays F 0057 0024 0102 0025 0777 0007 -3003Rabobank Int Brasil SA F 0057 0021 0157 0026 0842 0003 -5266B Nat de Paris Brasil SA F 0059 0023 0102 0030 0812 0006 -3387Ibibank SA - Banco Multiplo F 0056 0012 0100 0023 0781 0015 -148Dresdner Bank - B Multiplo F 0084 0016 0237 0064 0771 0008 -2798Banco Westlb Do Brasil SA F 0061 0033 0101 0025 0841 0010 -1646Banco GE Capital SA F 0063 0031 0238 0044 0853 0010 -1548B Com Uruguai SA F 0074 0020 0226 0056 0833 0003 -51921S - State-owned bank N - National bank and F - Foreign bank

48

Table A10 Estimates of Lerner index and return to scale by bank - Model (5)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0043 0093 0012 0940 0007 -834Banrisul S 0054 0041 0083 0009 0949 0008 -668BEC S 0046 0020 0075 0014 0846 0009 -1719BRB S 0058 0032 0121 0017 0960 0002 -1607BB S 0056 0037 0087 0010 0981 0006 -321Caixa Economica Federal S 0061 0050 0156 0019 1044 0003 1282B da Amazonia SA S 0057 0016 0115 0023 0843 0008 -2023B do Estado Do Para SA S 0059 0027 0102 0020 0938 0004 -1608B do E Do Maranhao SA S 0052 0042 0064 0006 0939 0015 -418B do E Do Piauı SA - Bep S 0054 0029 0138 0025 0866 0004 -3097B do Estado De Sergipe SA S 0059 0024 0136 0020 0949 0004 -1404Nossa Caixa - N Banco SA S 0055 0036 0088 0013 0979 0004 -494Bradesco N 0056 0037 0108 0016 0918 0004 -2108Itau N 0058 0031 0213 0033 0894 0003 -3968Safra N 0052 0036 0086 0010 0881 0003 -4388Unibanco N 0053 0037 0085 0013 0892 0001 -7433Mercantil Do Brasil N 0057 0027 0086 0012 0943 0002 -2619BBM N 0075 0015 0292 0063 0784 0005 -447BMC N 0050 0029 0077 0012 0846 0003 -4648BMG N 0067 0017 0220 0051 0777 0003 -7116JMalucelli N 0049 0022 0083 0016 0718 0003 -8879PEBB N 0060 0017 0176 0044 0704 0008 -3743SS N 0059 0032 0223 0041 0798 0007 -2847Sofisa N 0055 0021 0112 0022 0804 0002 -9624BIC N 0060 0032 0238 0041 0853 0005 -2725Schahin N 0055 0028 0228 0038 0836 0006 -2575Stock N 0082 0019 0267 0068 0821 0006 -3063Pine N 0052 0022 0096 0018 0808 0004 -5392Socopa N 0055 0027 0113 0016 0889 0003 -3694Intercap N 0060 0023 0210 0037 0814 0006 -2856Indusval N 0062 0029 0245 0044 0857 0005 -3023Bonsucesso N 0053 0020 0113 0022 0781 0005 -3999Industrial do Brasil N 0051 0030 0084 0016 0808 0002 -9274Votorantim N 0052 0037 0130 0022 0816 0008 -2227Cacique N 0049 0024 0065 0012 0775 0005 -4632Inter Amex N 0052 0034 0067 0011 0837 0007 -2236Alfa N 0047 0041 0056 0004 0804 0002 -11448Rendimento N 0053 0022 0079 0011 0874 0008 -1549Bancoob N 0056 0050 0064 0005 0856 0003 -4874Original N 0087 0018 0288 0093 0728 0006 -4259Banco Intermedium SA N 0055 0027 0078 0019 0744 0006 -4047

Table A10 ndash Continue on next page

49

Table A10 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0217 0048 0763 0003 -7417Banco BBN SA N 0051 0026 0075 0014 0820 0012 -1504B Cooperativo Sicredi SA N 0051 0040 0061 0005 0876 0005 -2499B Cooperativo do Brasil SA N 0054 0043 0136 0019 0912 0006 -1445Banco Topazio SA N 0061 0034 0109 0026 0838 0006 -2897Banco Gerador SA N 0073 0052 0124 0026 0855 0008 -1918Banco Randon SA N 0120 0024 0327 0114 0785 0005 -4153Parana Banco SA N 0048 0026 0106 0020 0786 0008 -2732Banco Triangulo SA N 0055 0027 0111 0022 0834 0004 -4227Banco Guanabara SA N 0052 0024 0153 0024 0779 0004 -5589Banco Cedula SA N 0069 0012 0339 0062 0734 0003 -10232Banco Cacique SA N 0076 0027 0246 0076 0785 0016 -1317Banco Luso Brasileiro SA N 0067 0027 0207 0047 0852 0004 -3379Banco Pecunia SA N 0046 0038 0054 0006 0773 0003 -71Banco Zogbi SA N 0047 0037 0061 0010 0778 0001 -14931Banco Daycoval SA N 0054 0022 0126 0026 0782 0004 -5661Banco John Deere SA N 0056 0018 0129 0031 0756 0003 -8043Banco AJ Renner SA N 0053 0025 0080 0015 0829 0006 -2716ABN Amro F 0053 0038 0074 0012 0908 0002 -4751Chase F 0067 0014 0225 0047 0792 0008 -2693LLoyds F 0049 0025 0064 0012 0824 0003 -5227BankBoston F 0054 0037 0096 0020 0899 0006 -1701Santander Brasil F 0057 0033 0103 0019 0884 0008 -1511Citibank F 0059 0026 0154 0028 0871 0003 -4204BNL F 0052 0037 0097 0020 0840 0006 -28Sudameris F 0052 0045 0058 0005 0962 0011 -334Societe Generale F 0060 0023 0151 0031 0827 0006 -2924Europeu F 0050 0032 0066 0012 0849 0007 -2263ABC-Brasil F 0051 0025 0079 0014 0814 0003 -617Dresdner F 0080 0017 0276 0073 0816 0005 -3374AGF Braseg F 0050 0031 0093 0015 0796 0004 -4812HSBC F 0057 0043 0093 0011 0966 0006 -541Deutsche F 0066 0013 0155 0035 0858 0004 -3244BNP Paribas F 0050 0035 0067 0008 0822 0005 -3775Barclays F 0056 0024 0113 0025 0778 0007 -305Rabobank Int Brasil SA F 0057 0021 0163 0027 0842 0003 -5208B Nat de Paris Brasil SA F 0058 0022 0100 0029 0812 0006 -3343Ibibank SA - Banco Multiplo F 0057 0012 0099 0023 0780 0015 -1478Dresdner Bank - B Multiplo F 0087 0016 0244 0068 0770 0008 -2768Banco Westlb Do Brasil SA F 0063 0034 0106 0026 0841 0010 -1625Banco GE Capital SA F 0064 0032 0247 0046 0853 0010 -1522B Com Uruguai SA F 0073 0019 0191 0049 0833 0003 -50981S - State-owned bank N - National bank and F - Foreign bank

50

Table A11 Estimates of Lerner index and return to scale by bank - Model (6)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0036 0096 0015 0939 0007 -855Banrisul S 0050 0035 0098 0014 0938 0008 -82BEC S 0041 0019 0067 0012 0855 0009 -1644BRB S 0053 0029 0124 0018 0956 0002 -1996BB S 0051 0032 0088 0013 0954 0006 -807Caixa Economica Federal S 0054 0040 0094 0012 1014 0003 475B da Amazonia SA S 0053 0015 0103 0022 0846 0008 -205B do Estado Do Para SA S 0051 0028 0074 0013 0943 0004 -1319B do E Do Maranhao SA S 0041 0031 0059 0008 0950 0014 -346B do E Do Piauı SA - Bep S 0042 0028 0084 0012 0879 0004 -2727B do Estado De Sergipe SA S 0052 0022 0153 0022 0953 0003 -1377Nossa Caixa - N Banco SA S 0047 0032 0081 0014 0969 0004 -74Bradesco N 0052 0032 0097 0019 0898 0004 -2645Itau N 0054 0027 0190 0031 0877 0003 -4452Safra N 0049 0032 0100 0015 0872 0003 -5056Unibanco N 0043 0032 0067 0010 0878 0001 -8666Mercantil Do Brasil N 0053 0026 0087 0017 0938 0002 -3104BBM N 0066 0013 0251 0056 0792 0005 -4556BMC N 0041 0026 0069 0011 0850 0003 -4582BMG N 0067 0016 0228 0057 0781 0003 -6611JMalucelli N 0051 0022 0089 0017 0725 0003 -9344PEBB N 0046 0015 0157 0039 0728 0008 -3313SS N 0058 0025 0230 0046 0801 0007 -292Sofisa N 0053 0020 0119 0025 0809 0002 -8846BIC N 0060 0029 0262 0049 0852 0005 -2697Schahin N 0049 0025 0229 0040 0843 0006 -2523Stock N 0081 0017 0284 0072 0836 0005 -2986Pine N 0049 0021 0112 0019 0812 0004 -5267Socopa N 0050 0026 0095 0015 0900 0003 -3515Intercap N 0055 0021 0196 0035 0828 0006 -2899Indusval N 0061 0029 0262 0049 0863 0005 -2762Bonsucesso N 0052 0019 0123 0026 0791 0005 -3885Industrial do Brasil N 0046 0027 0088 0015 0816 0002 -8698Votorantim N 0051 0027 0139 0027 0813 0007 -262Cacique N 0039 0022 0050 0009 0784 0005 -4707Inter Amex N 0045 0027 0064 0012 0843 0006 -2493Alfa N 0044 0033 0068 0009 0805 0002 -12111Rendimento N 0050 0022 0073 0010 0883 0008 -1543Bancoob N 0066 0055 0072 0007 0856 0003 -4559Original N 0098 0020 0294 0094 0735 0006 -4509Banco Intermedium SA N 0057 0024 0085 0022 0756 0006 -4324

Table A11 ndash Continue on next page

51

Table A11 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0061 0017 0195 0048 0777 0003 -7233Banco BBN SA N 0042 0023 0059 0012 0831 0011 -1529B Cooperativo Sicredi SA N 0048 0035 0066 0009 0879 0005 -2672B Cooperativo do Brasil SA N 0046 0034 0119 0017 0917 0006 -1439Banco Topazio SA N 0070 0031 0129 0036 0853 0005 -2776Banco Gerador SA N 0086 0057 0148 0034 0867 0007 -1825Banco Randon SA N 0126 0028 0331 0114 0799 0005 -4136Parana Banco SA N 0039 0023 0082 0015 0798 0008 -2556Banco Triangulo SA N 0052 0025 0116 0025 0840 0004 -4363Banco Guanabara SA N 0048 0021 0100 0019 0792 0004 -5683Banco Cedula SA N 0067 0013 0356 0067 0749 0002 -10205Banco Cacique SA N 0067 0026 0232 0073 0792 0015 -1356Banco Luso Brasileiro SA N 0065 0025 0237 0052 0864 0004 -3163Banco Pecunia SA N 0037 0029 0045 0006 0786 0003 -7158Banco Zogbi SA N 0037 0027 0045 0007 0785 0002 -13921Banco Daycoval SA N 0053 0020 0120 0031 0787 0003 -6088Banco John Deere SA N 0043 0017 0099 0022 0764 0003 -8346Banco AJ Renner SA N 0050 0025 0080 0013 0840 0006 -2706ABN Amro F 0043 0035 0067 0008 0894 0002 -6685Chase F 0059 0014 0189 0040 0803 0007 -2772LLoyds F 0039 0021 0055 0012 0824 0003 -5536BankBoston F 0044 0029 0075 0015 0890 0006 -1965Santander Brasil F 0054 0028 0107 0024 0871 0008 -1694Citibank F 0054 0023 0133 0026 0863 0003 -4787BNL F 0042 0028 0078 0018 0843 0005 -2998Sudameris F 0041 0036 0052 0006 0948 0010 -491Societe Generale F 0054 0020 0118 0025 0834 0006 -2716Europeu F 0038 0029 0049 0008 0856 0006 -2239ABC-Brasil F 0046 0028 0084 0014 0816 0003 -6111Dresdner F 0063 0015 0239 0061 0823 0005 -3888AGF Braseg F 0047 0027 0074 0014 0807 0004 -4477HSBC F 0054 0032 0109 0018 0950 0006 -823Deutsche F 0058 0013 0122 0028 0863 0004 -305BNP Paribas F 0051 0032 0070 0011 0822 0004 -4145Barclays F 0064 0024 0128 0029 0802 0005 -4051Rabobank Int Brasil SA F 0051 0019 0130 0021 0846 0003 -4992B Nat de Paris Brasil SA F 0043 0019 0070 0019 0819 0005 -3429Ibibank SA - Banco Multiplo F 0049 0010 0083 0020 0785 0013 -161Dresdner Bank - B Multiplo F 0087 0016 0261 0066 0783 0007 -2901Banco Westlb Do Brasil SA F 0051 0030 0082 0019 0850 0009 -1643Banco GE Capital SA F 0053 0028 0239 0044 0859 0009 -1544B Com Uruguai SA F 0071 0017 0217 0054 0845 0003 -48451S - State-owned bank N - National bank and F - Foreign bank

52

Seacuterie de Textos para Discussatildeo do Curso de Ciecircncias Econocircmicas ndash FACEUFG ndash TD [078]

EDITORIAL FACE ndash Faculdade de Administraccedilatildeo Ciecircncias Contaacutebeis e Ciecircncias Econocircmicas Curso de Ciecircncias Econocircmicas Direccedilatildeo FACE Prof Moiseacutes Ferreira da Cunha Vice-Direccedilatildeo FACE Profordf Andreacutea Freire de Lucena Coordenaccedilatildeo do Curso de Ciecircncias Econocircmicas Prof Tiago Camarinha Lopes NEPEC ndash Nuacutecleo de Estudos e Pesquisas Econocircmicas Coordenaccedilatildeo Prof Seacutergio Fornazier Meyrelles Filho SEacuteRIE DE TEXTOS PARA DISCUSSAtildeO DO CURSO DE CIEcircNCIAS ECONOcircMICAS DA UFG Coordenaccedilatildeo e Equipe de Editoraccedilatildeo Prof Sandro Eduardo Monsueto Adriana Moura Guimaratildees Matheus Henrique de Arauacutejo Dutra

Endereccedilo Campus Samambaia Preacutedio da FACE ndash Rodovia GoiacircniaNova Veneza km 0 ndash CEP 74690-900 Goiacircnia ndash GO Tel (62) 3521 ndash 1390 URL httpwwwfaceufgbreconomia Publicaccedilatildeo cujo objetivo eacute divulgar resultados de estudos que contam com a participaccedilatildeo de pesquisadores do NEPEC As opiniotildees contidas nesta publicaccedilatildeo satildeo de inteira responsabilidade do(s) autor(es) natildeo representando necessariamente o ponto de vista do NEPEC ou da FACEUFG Eacute permitida a reproduccedilatildeo desde que citada a fonte

Page 28: 1(3(& )$&( 8)* · The Dark Side of Prudential MeasuresI Paulo R. Scalco a, Benjamin M. Tabak1, Anderson M. Teixeira aFaculty of Management, Accounting and Economics, Federal University

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Altunbas Y Binici M amp Gambacorta L (2018) Macroprudential policy and bank risk Journal of

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Araujo L A D d amp Jorge Neto P d M (2007) Risco e competicao bancaria no Brasil Revista Brasileira

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Auer R amp Ongena S (2019) The countercyclical capital buffer and the composition of bank lending

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Ayyagari M Beck T amp Peria M (2018) The micro impact of macroprudential policies Firm-level

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Barbosa K de Paula Rocha B amp Salazar F (2015) Assessing competition in the banking indus-

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Belaisch A (2003) Do Brazilian Banks Compete SSRN Scholarly Paper ID 879189 Social Science Research

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Bikker J A Shaffer S amp Spierdijk L K (2012) Assessing competition with the panzar-rosse model

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Bresnahan T F (1982) The oligopoly solution concept is identified Economics Letters 10 87ndash92 URL

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Bresnahan T F amp Reiss P (1991) Entry and competition in concentrated markets Journal of Political

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Camors C amp Peydro J (2014) Macroprudential and monetary policy Loan-level evidence from reserve

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Cardoso M Azevedo P F amp Barbosa K (2016) Concorrencia no setor bancario brasileiro bancos

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Cerutti E Claessens S amp Laeven L (2017a) The use and effectiveness of macroprudential policies New

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004

Cerutti E Correa R Fiorentino E amp Segalla E (2016) Changes in prudential policy instruments ndash a

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Cerutti E Dagher J amp DellrsquoAriccia G (2017b) Housing finance and real-estate booms A cross-country

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Claessens S (2015) An overview of macroprudential policy tools Annual Re-

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Claessens S amp Laeven L (2004) What drives bank competition some international evidence Journal

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Coccorese P (2014) Estimating the Lerner index for the banking industry a stochastic frontier approach

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Coelho C A De Mello J M amp Rezende L (2013) Do Public Banks Compete with Private

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doi101111jmcb12063

Cubillas E amp Suarez N (2018) Bank market power and lending during the global financial crisis Jour-

nal of International Money and Finance 89 1ndash22 URL httpwwwsciencedirectcomscience

articlepiiS0261560618303048 doihttpsdoiorg101016jjimonfin201808003

Das A amp Kumbhakar S C (2016) Markup and efficiency of Indian banks an input distance func-

tion approach Empirical Economics (pp 1ndash31) URL httplinkspringercomarticle101007

s00181-015-1062-4 doi101007s00181-015-1062-4

Ely R Tabak B amp Teixeira A (2019) Heterogeneous effects of the implementation of macroprudential

policies on bank risk MPRA Paper No94546

Freixas X Laeven L amp Peydro J-L (2015) Systemic Risk Crises and Macroprudential Regulation

Mit Press URL httpwwwjstororgstablejctt17kk82g

Galati G amp Moessner R (2013) Macroprudential policy ndash a literature review Jour-

nal of Economic Surveys 27 846ndash878 URL httpsonlinelibrarywileycom

27

doiabs101111j1467-6419201200729x doi101111j1467-6419201200729x

arXivhttpsonlinelibrarywileycomdoipdf101111j1467-6419201200729x

Gropp R Mosk T Ongena S amp Wix C (2018) Banks Response to Higher Cap-

ital Requirements Evidence from a Quasi-Natural Experiment The Review of Finan-

cial Studies 32 266ndash299 URL httpsdoiorg101093rfshhy052 doi101093rfshhy052

arXivhttpoupprodsislanrfsarticle-pdf32126627185080hhy052pdf

Hyde C E amp Perloff J M (1995) Can market power be estimated Review of Industrial Organization 10

465ndash485 URL httplinkspringercomarticle101007BF01024231 doi101007BF01024231

Igan D amp Kang H (2011) Do loan-to-value and debt-to-income limits work evidence from korea IMF

Working Papers (pp 1ndash34)

Jimenez G Ongena S Peydro J-L amp Saurina J (2017) Macroprudential policy countercyclical bank

capital buffers and credit supply Evidence from the spanish dynamic provisioning experiments Journal

of Political Economy 125 2126ndash2177 URL httpsdoiorg101086694289 doi101086694289

arXivhttpsdoiorg101086694289

Jondrow J Knox Lovell C A Materov I S amp Schmidt P (1982) On the estimation of technical

inefficiency in the stochastic frontier production function model Journal of Econometrics 19 233ndash

238 URL httpwwwsciencedirectcomsciencearticlepii0304407682900045 doi101016

0304-4076(82)90004-5

Klingelhoger J amp Sun R (2019) Macruprudential policy central banks and financial stability Evidence

from china Journal of International Money and Finance 93 19ndash41 URL httpsdoiorg101016

jjimonfin201812015

Kumbhakar S C (2012) Specification and estimation of primal production models European Journal

of Operational Research 217 509ndash518 URL httpwwwsciencedirectcomsciencearticlepii

S0377221711008939 doi101016jejor201109043

Kumbhakar S C Baardsen S amp Lien G (2012) A New Method for Estimating Market Power with

an Application to Norwegian Sawmilling Review of Industrial Organization 40 109ndash129 URL http

linkspringercomarticle101007s11151-012-9339-7 doi101007s11151-012-9339-7

Lerner A P (1934) The Concept of Monopoly and the Measurement of Monopoly Power The Review

of Economic Studies 1 157ndash175 URL httprestudoxfordjournalsorglookupdoi102307

2967480 doi1023072967480

Lim C H Costa A Columba F Kongsamut P Otani A Saiyid M Wezel T amp Wu X (2011)

Macroprudential policy what instruments and how to use them lessons from country experiences IMF

working papers (pp 1ndash85)

Lopez R A He X amp Azzam A (2018) Stochastic frontier estimation of market

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power in the food industries Journal of Agricultural Economics 69 3ndash17 URL https

onlinelibrarywileycomdoiabs1011111477-955212219 doi1011111477-955212219

arXivhttpsonlinelibrarywileycomdoipdf1011111477-955212219

Lucinda C R (2010) Competition in the Brazilian loan market an empirical analysis Estudos Economicos

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S0101-41612010000400004amplng=enampnrm=isoamptlng=en doi101590S0101-41612010000400004

Moreno R (2011) Policymaking from arsquomacroprudentialrsquoperspective in emerging market economies

Nakane M I (2002) A test of competition in brazilian banking Estudos Economicos (Sao Paulo) 32

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Economics 42 33ndash52

29

Figure 1 Evolution of the Herfindahl Index (HHI) over time using credit and total assets for theBrazilian banking system

30

Figure 2 Marginal effects of HHI and prudential instruments (Capital Buffer Capital RequirementLTV Reserve Requirement (Foreign) Reserve Requirement (domestic) and cumulative prud) on the

mark-up u component

31

Figure 3 Frequency distribution of Lerner indexes for each model and density estimation Kernel by typeof control

32

Figure 4 Lerner indexes according to the size (market share) of banksrsquo assets

33

Figure 5 Average Lerner indices for each model between 2000q2 and 2014q4

34

Figure 6 Average Lerner indices estimated for public private national and private foreign banks between2000q2 and 2014q4

35

Figure 7 Frequency distribution of the returns to scale indexes for each model and density estimationKernel by type of control

36

Table 1 Variables used to IDF estimatation

Variabel Description SourceBasic variables

TR Total Revenue = Gross Insterest Income (a) + Bank-ing Service Fee Income (d1) + Banking Fee Income(d2) + Other Operating Income (d7)

Inc statIFData

TC Total Cost = Interest Expenses (b) + Personnel Ex-penses (d3) + Administrative Expenses (d4) + TaxExpenses (d5) + Other Operating Expenses (d8)

Inc statIFData

Y Loan Lease and Other Credit Operations by RiskLevel

SummaryIFData

x1 Personnel Expenses (d3) Inc statIFDatax2 Funding (e) LiabilitiesIFDatax3 Equity (j) LiabilitiesIFData

Model variabelslnRC Log of Revenue-Cost ratiolnY Log of total loanlnx1 Log of personnel expenses and equity ratio (x1x3)lnx2 Log of funding and equity ratio (x2x3)T Time

Prudential variables - Deterministic mark-up parametersHHIt HHIt =

sumS2it where Sit

2 is market share of totalasset of bank i on time t

Inc statIFData

cb cumulative change of capital buffer Cerutti et al (2016)cr cumulative change of capital requirement Cerutti et al (2016)ltv cumulative change of loan-to-value Cerutti et al (2016)

rr foreign cumulative change of reserve requirement (foreigncurrency)

Cerutti et al (2016)

rr local cumulative change of reserve requirement (domesticcurrency)

Cerutti et al (2016)

37

Table 2 Results of IDF estimation

Parameters VariablesEstimates

Model Model Model Model Model Model(1) (2) (3) (4) (5) (6)

Parametros da funcao insumo distanciaαY Y lnY -0013 -0003 -0004 -0012 -0011 -0005

(000) (000) (000) (000) (000) (000)α1Y lnx1 -0096 -0095 -0094 -0094 -0096 -0090

(001) (001) (001) (001) (001) (001)α2Y lnx2 -0019 -0022 -0022 -0019 -0020 -0021

(001) (001) (001) (001) (001) (001)αY T T -0000 -0000 -0000 -0000 -0000 -0000

(000) (000) (000) (000) (000) (000)αY const 1153 1010 1035 1134 1129 1057

(005) (007) (005) (005) (005) (006)

Deterministic Mark-up parametersδ1 HHI 764157

(12270)δ1 Capital

Buffer7586(065)

δ2 CapitalReq

4696(160)

δ1 Loan-to-value38511(671)

δ1 ResR(foreign)10730(433)

δ2 ResR(local)2869(126)

δ1 Cum Prud3237(020)

δ0 const minus10601minus10194minus5306 minus9866 minus8577 minus4993(032) (2064) (316) (079) (119) (122)

Distribution of u and vσ2u 2840 1418 1620 2643 2441 1593σ2v 0118 0121 0120 0118 0118 0120λ 2402 1172 1354 2233 2065 1325Log Lik 887404 922033 918606 896019 891991 907817

EstimatesEstimates of Mark-up (u)Avg 0075 0065 0068 0074 0075 00691st quartile 0052 0038 0051 0051 0051 0044Median 0062 0048 0060 0060 0061 00543st quartile 0080 0074 0079 0079 0079 0075std-dev 0053 0054 0053 0053 0054 0054

Note p lt 010 p lt 005 and p lt 001

38

Table 3 Estimates of Lerner index general and by type of control

EstimatesModel Model Model Model Model Model

(1) (2) (3) (4) (5) (6)Mark-up (L) generalAverage 0058 0051 0053 0057 0058 0053std-dev 0032 0034 0034 0032 0032 00331st quartile 0043 0031 0034 0041 0042 0036Median 0051 0039 0044 0050 0050 00453st quartile 0063 0060 0059 0063 0063 0060Mark-up (L) State-owned banksAverage 0057 0047 0049 0056 0056 0050std-dev 0018 0017 0017 0018 0016 00161st quartile 0047 0035 0038 0045 0046 0040Median 0054 0041 0046 0053 0053 00463st quartile 0064 0056 0056 0064 0063 0057Mark-up (L) National banksAverage 0057 0052 0054 0057 0057 0054std-dev 0034 0038 0038 0035 0035 00371st quartile 0041 0030 0033 0040 0041 0035Median 0050 0038 0043 0048 0049 00443st quartile 0061 0061 0060 0061 0062 0060Mark-up (L) Foreign banksAverage 0061 0050 0053 0059 0060 0054std-dev 0034 0033 0032 0034 0034 00321st quartile 0042 0031 0034 0041 0042 0036Median 0052 0040 0044 0051 0051 00453st quartile 0068 0059 0060 0066 0066 0061

Table 4 Estimates of returns to scale by control type and general

ModelState-owned

banksNational

banksForeignbanks

General std-dev Min Max

1 0944 0824 0842 0848 0073 0665 11242 0940 0829 0843 0851 0066 0690 10733 0938 0827 0842 0849 0066 0689 10764 0941 0824 0842 0848 0071 0671 11115 0942 0824 0841 0848 0072 0669 11136 0937 0829 0844 0850 0065 0692 1073

39

Appendix A Attachment Tables

Table A5 Cumulative change on Prudential Measures intensity

TimeCapitalBuffer 2

(cb)

CapitalReq(cr)

Loan-to-Value(ltv)

Reserve Reqlocal curr

(RR local)

Reserve Reqforeign cur

(RR foreign)

CumulativePrudential 3

(Cum Prud)2000q2 -1 0 0 0 -2 -32000q4 -1 0 0 0 -2 -32001q2 -1 0 0 0 -2 -32001q4 0 0 0 0 -1 -12002q2 0 0 0 0 0 02002q4 2 0 0 0 2 42003q2 0 0 0 0 3 32003q4 0 0 0 0 2 22004q2 0 0 0 0 2 22004q4 0 0 0 0 2 22005q2 0 0 0 0 2 22005q4 0 0 0 0 2 22006q2 0 0 0 0 2 22006q4 0 0 0 0 2 22007q2 2 0 0 0 2 42007q4 2 0 0 0 2 42008q2 2 0 0 0 2 42008q4 2 0 0 0 1 32009q2 2 0 0 0 0 22009q4 2 0 0 0 -1 12010q2 2 0 0 0 1 32010q4 3 0 0 0 3 62011q2 3 0 0 1 3 72011q4 4 0 0 2 3 92012q2 3 1 0 2 3 92012q4 3 1 0 1 2 72013q2 3 2 0 0 2 72013q4 3 2 1 0 2 82014q2 3 2 1 0 2 82014q4 2 2 1 0 3 82Sum of capital buffer and others 3Aggregate measure (It is the sum of the change of all other instrument)

40

Table A6 Estimates of Lerner index and return to scale by bank - Model (1)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0042 0082 0009 0940 0007 -85Banrisul S 0055 0041 0084 0009 0952 0008 -635BEC S 0048 0021 0077 0016 0844 0009 -1756BRB S 0058 0033 0100 0015 0961 0003 -1533BB S 0058 0039 0098 0012 0990 0006 -173Caixa Economica Federal S 0063 0051 0174 0022 1052 0004 1458B da Amazonia SA S 0057 0016 0124 0023 0844 0008 -2028B do Estado Do Para SA S 0061 0026 0110 0022 0936 0004 -1764B do Est do Maranhao SA S 0055 0046 0065 0006 0935 0014 -455B do Est do Piauı SA - Bep S 0057 0030 0155 0029 0862 0004 -326B do Estado De Sergipe SA S 0061 0024 0135 0022 0947 0004 -1453Nossa Caixa - N Banco SA S 0057 0036 0090 0013 0981 0004 -444Bradesco N 0056 0038 0114 0015 0925 0004 -1945Itau N 0059 0031 0220 0033 0901 0003 -3797Safra N 0053 0037 0085 0009 0885 0003 -4215Unibanco N 0055 0037 0088 0014 0897 0001 -7054Mercantil Do Brasil N 0057 0027 0077 0011 0945 0002 -2527BBM N 0076 0016 0300 0065 0783 0005 -4464BMC N 0052 0030 0079 0012 0845 0003 -4703BMG N 0065 0017 0208 0045 0779 0003 -729JMalucelli N 0047 0022 0069 0013 0718 0003 -8765PEBB N 0065 0017 0181 0047 0698 0008 -3914SS N 0057 0034 0220 0037 0799 0007 -2839Sofisa N 0054 0021 0092 0020 0804 0002 -9903BIC N 0060 0034 0236 0040 0855 0005 -276Schahin N 0056 0028 0214 0035 0835 0006 -262Stock N 0081 0020 0267 0067 0817 0006 -3107Pine N 0052 0022 0108 0019 0808 0004 -545Socopa N 0056 0027 0120 0017 0886 0003 -3806Intercap N 0060 0023 0212 0037 0812 0007 -2851Indusval N 0062 0030 0246 0043 0857 0005 -3139Bonsucesso N 0052 0020 0092 0018 0779 0005 -4033Industrial do Brasil N 0051 0031 0081 0016 0807 0002 -952Votorantim N 0052 0037 0107 0017 0819 0009 -2117Cacique N 0053 0024 0071 0014 0774 0005 -4621Inter Amex N 0055 0037 0068 0010 0837 0008 -2158Alfa N 0048 0041 0059 0005 0806 0002 -11303Rendimento N 0053 0022 0080 0012 0872 0008 -1562Bancoob N 0052 0046 0056 0003 0856 0003 -5061Original N 0085 0017 0279 0090 0729 0007 -4163Banco Intermedium SA N 0052 0028 0070 0015 0743 0006 -3973

Table A6 ndash Continue on next page

41

Table A6 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0225 0049 0761 0003 -7509Banco BBN SA N 0053 0027 0077 0014 0817 0012 -1509B Cooperativo Sicredi SA N 0052 0043 0062 0005 0875 0005 -2477B Cooperativo do Brasil SA N 0056 0046 0142 0020 0910 0006 -1479Banco Topazio SA N 0060 0035 0110 0027 0834 0006 -2966Banco Gerador SA N 0069 0045 0122 0028 0852 0008 -1968Banco Randon SA N 0109 0023 0320 0109 0783 0005 -4158Parana Banco SA N 0050 0026 0108 0020 0784 0008 -2799Banco Triangulo SA N 0055 0028 0091 0020 0833 0004 -4201Banco Guanabara SA N 0052 0024 0169 0025 0777 0004 -5588Banco Cedula SA N 0068 0012 0339 0061 0731 0003 -10236Banco Cacique SA N 0077 0028 0248 0077 0785 0016 -1309B Luso Brasileiro SA N 0065 0027 0208 0043 0849 0004 -349Banco Pecunia SA N 0047 0039 0060 0006 0770 0003 -7086Banco Zogbi SA N 0051 0038 0067 0011 0778 0001 -15193Banco Daycoval SA N 0054 0023 0131 0026 0783 0004 -5522B John Deere SA N 0059 0018 0133 0033 0756 0003 -7955Banco AJ Renner SA N 0053 0025 0081 0015 0827 0006 -2742ABN Amro F 0056 0039 0079 0014 0914 0002 -427Chase F 0068 0014 0228 0049 0790 0008 -2678LLoyds F 0053 0027 0064 0012 0825 0003 -5159BankBoston F 0057 0040 0099 0020 0902 0006 -1638Santander Brasil F 0057 0034 0097 0017 0890 0008 -146Citibank F 0059 0026 0153 0028 0875 0003 -4039BNL F 0055 0041 0097 0019 0840 0006 -2767Sudameris F 0056 0048 0065 0005 0966 0012 -297Societe Generale F 0060 0024 0153 0031 0826 0006 -299Europeu F 0054 0032 0073 0013 0848 0007 -2287ABC-Brasil F 0052 0025 0082 0014 0815 0003 -6207Dresdner F 0083 0017 0280 0074 0815 0006 -3234AGF Braseg F 0051 0031 0100 0016 0794 0004 -4923HSBC F 0057 0046 0092 0010 0971 0006 -466Deutsche F 0068 0013 0160 0036 0857 0004 -3335BNP Paribas F 0050 0037 0068 0007 0824 0005 -3665Barclays F 0052 0024 0089 0021 0771 0008 -2787Rabobank Int Brasil SA F 0058 0022 0166 0028 0842 0003 -5284B Nat de Paris Br SA F 0063 0023 0109 0033 0811 0006 -3331Ibibank SA - Banco Multiplo F 0059 0012 0106 0024 0781 0015 -1441Dresdner Bank - B Multiplo F 0086 0016 0244 0068 0768 0008 -2746Banco Westlb Do Brasil SA F 0064 0034 0108 0027 0839 0010 -1626Banco GE Capital SA F 0067 0032 0247 0047 0852 0010 -1527B Com Uruguai SA F 0072 0020 0192 0049 0830 0003 -52281S - State-owned bank N - National bank and F - Foreign bank

42

Table A7 Estimates of Lerner index and return to scale by bank - Model (2)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0049 0032 0085 0016 0944 0008 -716Banrisul S 0049 0032 0106 0017 0939 0008 -75BEC S 0032 0016 0046 0008 0860 0009 -1489BRB S 0049 0030 0112 0017 0961 0002 -1681BB S 0049 0032 0091 0016 0948 0006 -845Caixa Economica Federal S 0052 0034 0081 0014 1012 0003 382B da Amazonia SA S 0053 0015 0140 0028 0847 0008 -1922B do Estado Do Para SA S 0046 0029 0063 0009 0952 0005 -963B do Est do Maranhao SA S 0036 0029 0045 0005 0963 0016 -235B do Est do Piauı SA - Bep S 0036 0023 0071 0011 0888 0005 -2314B do Estado De Sergipe SA S 0050 0020 0155 0024 0962 0004 -1043Nossa Caixa - N Banco SA S 0039 0027 0074 0011 0972 0005 -601Bradesco N 0050 0028 0116 0023 0890 0004 -2618Itau N 0052 0024 0222 0037 0869 0003 -4269Safra N 0046 0028 0100 0017 0867 0003 -5042Unibanco N 0035 0028 0054 0007 0873 0001 -8511Mercantil Do Brasil N 0051 0029 0093 0019 0941 0002 -2837BBM N 0063 0012 0213 0048 0790 0005 -4494BMC N 0034 0023 0049 0007 0851 0003 -4266BMG N 0065 0015 0233 0057 0776 0004 -6135JMalucelli N 0052 0018 0080 0016 0720 0003 -9566PEBB N 0037 0014 0108 0025 0732 0009 -3086SS N 0056 0024 0236 0046 0797 0007 -2849Sofisa N 0052 0018 0107 0028 0808 0002 -8115BIC N 0057 0026 0259 0050 0850 0006 -2531Schahin N 0047 0022 0225 0041 0845 0007 -2359Stock N 0078 0017 0287 0071 0843 0006 -2782Pine N 0048 0018 0114 0023 0811 0004 -4973Socopa N 0050 0022 0136 0024 0908 0003 -3089Intercap N 0051 0019 0133 0031 0832 0006 -2759Indusval N 0061 0023 0267 0052 0866 0006 -2437Bonsucesso N 0050 0017 0109 0026 0791 0006 -3655Industrial do Brasil N 0044 0024 0079 0015 0816 0002 -8095Votorantim N 0048 0025 0120 0026 0807 0007 -2721Cacique N 0033 0020 0039 0006 0782 0005 -4597Inter Amex N 0035 0025 0045 0007 0844 0006 -2419Alfa N 0042 0029 0069 0013 0801 0002 -12139Rendimento N 0049 0019 0077 0015 0889 0008 -1394Bancoob N 0065 0057 0073 0006 0855 0003 -4199Original N 0099 0019 0299 0096 0732 0006 -4473Banco Intermedium SA N 0062 0032 0081 0019 0754 0006 -4393

Table A7 ndash Continue on next page

43

Table A7 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0059 0016 0239 0051 0778 0003 -6944Banco BBN SA N 0035 0020 0053 0009 0834 0011 -1466B Cooperativo Sicredi SA N 0045 0032 0070 0011 0881 0005 -2581B Cooperativo do Brasil SA N 0045 0029 0147 0025 0922 0006 -1274Banco Topazio SA N 0076 0043 0138 0038 0861 0005 -2569Banco Gerador SA N 0089 0054 0153 0037 0874 0008 -1645Banco Randon SA N 0122 0029 0335 0113 0803 0005 -388Parana Banco SA N 0033 0020 0062 0011 0800 0009 -234Banco Triangulo SA N 0052 0022 0105 0027 0841 0004 -4148Banco Guanabara SA N 0046 0019 0091 0020 0793 0004 -5561Banco Cedula SA N 0062 0011 0359 0067 0749 0003 -9911Banco Cacique SA N 0049 0020 0157 0048 0791 0016 -1315Banco Luso Brasileiro SA N 0066 0022 0241 0055 0870 0005 -2851Banco Pecunia SA N 0032 0027 0036 0003 0787 0003 -6876Banco Zogbi SA N 0032 0026 0037 0005 0784 0002 -13006Banco Daycoval SA N 0053 0019 0139 0036 0784 0004 -6065Banco John Deere SA N 0035 0016 0073 0016 0761 0003 -8278Banco AJ Renner SA N 0047 0021 0083 0015 0844 0006 -2553ABN Amro F 0035 0027 0047 0006 0889 0002 -7231Chase F 0054 0013 0157 0033 0804 0007 -2702LLoyds F 0033 0020 0043 0008 0821 0003 -5429BankBoston F 0036 0026 0060 0011 0888 0006 -1917Santander Brasil F 0055 0025 0115 0030 0864 0008 -1647Citibank F 0051 0020 0132 0025 0860 0003 -4735BNL F 0036 0026 0062 0012 0843 0005 -2959Sudameris F 0036 0031 0040 0004 0949 0011 -468Societe Generale F 0051 0018 0104 0024 0835 0007 -2454Europeu F 0034 0025 0041 0006 0859 0007 -2076ABC-Brasil F 0043 0026 0086 0015 0813 0003 -5797Dresdner F 0050 0014 0190 0046 0824 0004 -3975AGF Braseg F 0044 0024 0068 0014 0810 0005 -4109HSBC F 0052 0031 0110 0021 0948 0007 -776Deutsche F 0054 0012 0166 0030 0866 0005 -2754BNP Paribas F 0049 0028 0073 0013 0818 0004 -4092Barclays F 0065 0028 0121 0027 0811 0005 -4028Rabobank Int Brasil SA F 0047 0017 0102 0017 0845 0003 -4605B Nat de Paris Brasil SA F 0036 0017 0054 0013 0819 0005 -3304Ibibank SA - Banco Multiplo F 0043 0010 0114 0025 0782 0013 -1623Dresdner Bank - B Multiplo F 0096 0015 0270 0076 0785 0007 -2924Banco Westlb Do Brasil SA F 0041 0026 0062 0013 0853 0010 -154Banco GE Capital SA F 0054 0026 0253 0049 0862 0010 -1444B Com Uruguai SA F 0070 0017 0220 0058 0849 0003 -4471S - State-owned bank N - National bank and F - Foreign bank

44

Table A8 Estimates of Lerner index and return to scale by bank - Model (3)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0034 0090 0016 0941 0008 -772Banrisul S 0051 0032 0108 0016 0938 0008 -772BEC S 0035 0018 0051 0009 0856 0009 -1562BRB S 0052 0032 0122 0018 0958 0002 -1793BB S 0052 0035 0085 0015 0951 0006 -809Caixa Economica Federal S 0054 0039 0098 0014 1015 0003 465B da Amazonia SA S 0053 0014 0113 0024 0845 0008 -1977B do Estado Do Para SA S 0049 0028 0071 0010 0947 0005 -1117B do E do Maranhao SA S 0041 0032 0059 0008 0957 0015 -285B do E do Piauı SA - Bep S 0041 0028 0086 0014 0882 0005 -2518B do Estado De Sergipe SA S 0052 0021 0145 0022 0957 0004 -1182Nossa Caixa - N Banco SA S 0045 0029 0081 0015 0971 0005 -651Bradesco N 0052 0029 0101 0021 0893 0004 -2614Itau N 0054 0025 0203 0034 0872 0003 -4328Safra N 0048 0029 0093 0015 0869 0003 -5008Unibanco N 0041 0028 0067 0010 0874 0001 -8514Mercantil Do Brasil N 0053 0026 0095 0018 0939 0002 -29BBM N 0067 0013 0250 0056 0789 0005 -4501BMC N 0038 0024 0069 0010 0849 0003 -4408BMG N 0067 0015 0233 0058 0776 0004 -6374JMalucelli N 0052 0022 0087 0016 0720 0003 -9426PEBB N 0045 0014 0158 0040 0727 0009 -3192SS N 0057 0025 0231 0046 0797 0007 -287Sofisa N 0053 0018 0116 0026 0807 0002 -8444BIC N 0059 0030 0250 0049 0850 0006 -2596Schahin N 0048 0023 0220 0038 0842 0007 -2424Stock N 0083 0017 0304 0077 0838 0006 -2873Pine N 0049 0019 0105 0020 0810 0004 -5103Socopa N 0050 0026 0111 0018 0903 0003 -3253Intercap N 0055 0020 0196 0036 0828 0006 -283Indusval N 0062 0029 0282 0052 0863 0005 -2588Bonsucesso N 0051 0017 0118 0025 0789 0006 -3771Industrial do Brasil N 0046 0025 0086 0015 0815 0002 -8341Votorantim N 0050 0027 0128 0027 0809 0007 -2664Cacique N 0037 0020 0048 0009 0781 0005 -4645Inter Amex N 0039 0026 0058 0009 0842 0006 -2468Alfa N 0044 0031 0072 0011 0801 0002 -11998Rendimento N 0049 0022 0078 0011 0885 0008 -1463Bancoob N 0066 0057 0077 0007 0854 0003 -4342Original N 0102 0019 0301 0096 0730 0006 -4526Banco Intermedium SA N 0059 0027 0083 0020 0752 0006 -4354

Table A8 ndash Continue on next page

45

Table A8 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0017 0217 0054 0776 0003 -7084Banco BBN SA N 0038 0022 0058 0010 0831 0011 -1492B Cooperativo Sicredi SA N 0047 0035 0071 0010 0879 0005 -259B Cooperativo do Brasil SA N 0046 0035 0128 0020 0919 0006 -1339Banco Topazio SA N 0075 0036 0153 0041 0855 0005 -2657Banco Gerador SA N 0091 0057 0144 0034 0869 0008 -173Banco Randon SA N 0124 0029 0332 0112 0799 0005 -4023Parana Banco SA N 0036 0021 0071 0012 0797 0008 -2452Banco Triangulo SA N 0053 0023 0115 0027 0839 0004 -4256Banco Guanabara SA N 0047 0020 0100 0019 0790 0004 -561Banco Cedula SA N 0066 0012 0362 0068 0747 0003 -10082Banco Cacique SA N 0063 0026 0231 0074 0789 0016 -1336Banco Luso Brasileiro SA N 0066 0026 0249 0053 0865 0005 -2985Banco Pecunia SA N 0034 0029 0041 0004 0784 0003 -7038Banco Zogbi SA N 0036 0027 0046 0006 0782 0002 -13399Banco Daycoval SA N 0054 0019 0131 0034 0784 0004 -607Banco John Deere SA N 0039 0015 0083 0018 0761 0003 -8316Banco AJ Renner SA N 0049 0024 0073 0013 0840 0006 -2621ABN Amro F 0041 0030 0066 0009 0890 0002 -6866Chase F 0059 0013 0173 0039 0801 0007 -2733LLoyds F 0038 0021 0055 0010 0821 0003 -5484BankBoston F 0040 0028 0063 0012 0888 0006 -1931Santander Brasil F 0056 0028 0107 0027 0866 0008 -1663Citibank F 0052 0022 0123 0023 0860 0003 -4735BNL F 0039 0028 0063 0014 0841 0005 -2966Sudameris F 0041 0036 0052 0006 0948 0011 -473Societe Generale F 0052 0020 0103 0022 0833 0006 -2579Europeu F 0038 0030 0049 0007 0856 0007 -2153ABC-Brasil F 0046 0029 0079 0014 0813 0003 -5935Dresdner F 0055 0014 0212 0052 0822 0005 -3913AGF Braseg F 0046 0027 0071 0014 0806 0005 -4276HSBC F 0053 0032 0101 0019 0949 0007 -784Deutsche F 0058 0013 0141 0029 0863 0005 -2878BNP Paribas F 0051 0030 0074 0012 0818 0004 -4118Barclays F 0066 0025 0130 0030 0805 0005 -4123Rabobank Int Brasil SA F 0049 0019 0109 0018 0844 0003 -4752B Nat de Paris Brasil SA F 0041 0019 0069 0018 0817 0005 -3368Ibibank SA - Banco Multiplo F 0046 0010 0095 0021 0781 0014 -1617Dresdner Bank - B Multiplo F 0093 0017 0282 0072 0782 0008 -2899Banco Westlb Do Brasil SA F 0044 0027 0069 0015 0850 0009 -1591Banco GE Capital SA F 0055 0026 0249 0046 0859 0009 -1489B Com Uruguai SA F 0071 0017 0228 0056 0845 0003 -46241S - State-owned bank N - National bank and F - Foreign bank

46

Table A9 Estimates of Lerner index and return to scale by bank - Model (4)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0054 0041 0078 0011 0939 0007 -873Banrisul S 0055 0040 0106 0014 0948 0008 -692BEC S 0046 0020 0072 0014 0846 0009 -1746BRB S 0057 0032 0094 0016 0959 0002 -1673BB S 0057 0038 0095 0014 0981 0006 -33Caixa Economica Federal S 0061 0049 0165 0021 1042 0003 1249B da Amazonia SA S 0056 0015 0117 0022 0844 0008 -2047B do Estado Do Para SA S 0059 0025 0103 0020 0936 0004 -1701B do E Do Maranhao SA S 0052 0044 0062 0005 0936 0014 -448B do E Do Piauı SA - Bep S 0054 0029 0147 0028 0865 0004 -3201B do Estado De Sergipe SA S 0061 0023 0168 0026 0947 0004 -1484Nossa Caixa - N Banco SA S 0054 0035 0085 0012 0977 0004 -547Bradesco N 0056 0036 0107 0017 0919 0004 -2123Itau N 0058 0030 0212 0032 0896 0003 -3979Safra N 0052 0035 0107 0013 0882 0003 -445Unibanco N 0052 0035 0082 0013 0892 0001 -7446Mercantil Do Brasil N 0057 0027 0093 0015 0942 0002 -2687BBM N 0075 0015 0294 0064 0784 0005 -4512BMC N 0050 0029 0074 0011 0846 0003 -472BMG N 0065 0016 0202 0047 0779 0003 -7192JMalucelli N 0048 0022 0071 0014 0720 0003 -8923PEBB N 0061 0016 0172 0044 0704 0008 -382SS N 0056 0033 0213 0037 0799 0007 -2875Sofisa N 0053 0020 0087 0019 0805 0002 -9731BIC N 0061 0033 0269 0048 0854 0005 -2768Schahin N 0053 0027 0205 0034 0836 0006 -2627Stock N 0081 0020 0265 0068 0820 0006 -3122Pine N 0052 0022 0118 0021 0808 0004 -5467Socopa N 0054 0026 0114 0016 0888 0003 -3785Intercap N 0057 0023 0203 0035 0815 0006 -2877Indusval N 0062 0029 0239 0043 0857 0005 -3085Bonsucesso N 0052 0019 0088 0018 0782 0005 -403Industrial do Brasil N 0050 0030 0076 0015 0809 0002 -9427Votorantim N 0051 0036 0102 0017 0817 0008 -2222Cacique N 0050 0023 0067 0013 0776 0005 -4659Inter Amex N 0052 0035 0064 0009 0837 0007 -2226Alfa N 0048 0039 0071 0007 0805 0002 -11484Rendimento N 0052 0022 0076 0013 0874 0008 -1571Bancoob N 0057 0045 0071 0011 0855 0003 -5022Original N 0094 0017 0278 0090 0730 0006 -4242Banco Intermedium SA N 0049 0027 0065 0014 0746 0006 -4054

Table A9 ndash Continue on next page

47

Table A9 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0019 0220 0050 0764 0003 -7516Banco BBN SA N 0050 0027 0072 0013 0819 0012 -1529B Cooperativo Sicredi SA N 0051 0041 0068 0006 0875 0005 -2551B Cooperativo do Brasil SA N 0053 0044 0134 0018 0910 0006 -151Banco Topazio SA N 0066 0035 0128 0036 0837 0005 -2981Banco Gerador SA N 0082 0045 0157 0043 0854 0007 -1967Banco Randon SA N 0106 0026 0312 0105 0786 0005 -4204Parana Banco SA N 0048 0025 0102 0018 0787 0008 -2768Banco Triangulo SA N 0054 0027 0088 0021 0834 0004 -427Banco Guanabara SA N 0051 0023 0161 0025 0780 0004 -5659Banco Cedula SA N 0069 0012 0360 0065 0735 0003 -1028Banco Cacique SA N 0073 0027 0240 0075 0786 0016 -1327Banco Luso Brasileiro SA N 0065 0026 0242 0047 0852 0004 -346Banco Pecunia SA N 0045 0037 0056 0006 0773 0003 -7139Banco Zogbi SA N 0048 0036 0064 0010 0779 0001 -15057Banco Daycoval SA N 0055 0022 0126 0030 0784 0004 -568Banco John Deere SA N 0056 0018 0125 0031 0757 0003 -8084Banco AJ Renner SA N 0051 0025 0077 0013 0829 0006 -2763ABN Amro F 0053 0038 0074 0013 0909 0002 -4803Chase F 0066 0014 0220 0046 0793 0008 -2711LLoyds F 0050 0026 0060 0011 0825 0003 -5323BankBoston F 0054 0038 0092 0018 0899 0006 -1734Santander Brasil F 0056 0033 0098 0019 0885 0007 -1529Citibank F 0059 0025 0145 0030 0872 0003 -421BNL F 0052 0039 0091 0018 0840 0006 -2854Sudameris F 0053 0046 0062 0005 0961 0011 -352Societe Generale F 0058 0023 0144 0028 0827 0006 -2968Europeu F 0052 0031 0069 0012 0849 0007 -23ABC-Brasil F 0051 0028 0091 0015 0815 0003 -6225Dresdner F 0078 0017 0271 0071 0816 0005 -339AGF Braseg F 0050 0030 0094 0015 0797 0004 -4873HSBC F 0057 0045 0116 0016 0966 0006 -562Deutsche F 0066 0013 0151 0034 0858 0004 -3316BNP Paribas F 0050 0036 0071 0010 0823 0005 -3772Barclays F 0057 0024 0102 0025 0777 0007 -3003Rabobank Int Brasil SA F 0057 0021 0157 0026 0842 0003 -5266B Nat de Paris Brasil SA F 0059 0023 0102 0030 0812 0006 -3387Ibibank SA - Banco Multiplo F 0056 0012 0100 0023 0781 0015 -148Dresdner Bank - B Multiplo F 0084 0016 0237 0064 0771 0008 -2798Banco Westlb Do Brasil SA F 0061 0033 0101 0025 0841 0010 -1646Banco GE Capital SA F 0063 0031 0238 0044 0853 0010 -1548B Com Uruguai SA F 0074 0020 0226 0056 0833 0003 -51921S - State-owned bank N - National bank and F - Foreign bank

48

Table A10 Estimates of Lerner index and return to scale by bank - Model (5)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0043 0093 0012 0940 0007 -834Banrisul S 0054 0041 0083 0009 0949 0008 -668BEC S 0046 0020 0075 0014 0846 0009 -1719BRB S 0058 0032 0121 0017 0960 0002 -1607BB S 0056 0037 0087 0010 0981 0006 -321Caixa Economica Federal S 0061 0050 0156 0019 1044 0003 1282B da Amazonia SA S 0057 0016 0115 0023 0843 0008 -2023B do Estado Do Para SA S 0059 0027 0102 0020 0938 0004 -1608B do E Do Maranhao SA S 0052 0042 0064 0006 0939 0015 -418B do E Do Piauı SA - Bep S 0054 0029 0138 0025 0866 0004 -3097B do Estado De Sergipe SA S 0059 0024 0136 0020 0949 0004 -1404Nossa Caixa - N Banco SA S 0055 0036 0088 0013 0979 0004 -494Bradesco N 0056 0037 0108 0016 0918 0004 -2108Itau N 0058 0031 0213 0033 0894 0003 -3968Safra N 0052 0036 0086 0010 0881 0003 -4388Unibanco N 0053 0037 0085 0013 0892 0001 -7433Mercantil Do Brasil N 0057 0027 0086 0012 0943 0002 -2619BBM N 0075 0015 0292 0063 0784 0005 -447BMC N 0050 0029 0077 0012 0846 0003 -4648BMG N 0067 0017 0220 0051 0777 0003 -7116JMalucelli N 0049 0022 0083 0016 0718 0003 -8879PEBB N 0060 0017 0176 0044 0704 0008 -3743SS N 0059 0032 0223 0041 0798 0007 -2847Sofisa N 0055 0021 0112 0022 0804 0002 -9624BIC N 0060 0032 0238 0041 0853 0005 -2725Schahin N 0055 0028 0228 0038 0836 0006 -2575Stock N 0082 0019 0267 0068 0821 0006 -3063Pine N 0052 0022 0096 0018 0808 0004 -5392Socopa N 0055 0027 0113 0016 0889 0003 -3694Intercap N 0060 0023 0210 0037 0814 0006 -2856Indusval N 0062 0029 0245 0044 0857 0005 -3023Bonsucesso N 0053 0020 0113 0022 0781 0005 -3999Industrial do Brasil N 0051 0030 0084 0016 0808 0002 -9274Votorantim N 0052 0037 0130 0022 0816 0008 -2227Cacique N 0049 0024 0065 0012 0775 0005 -4632Inter Amex N 0052 0034 0067 0011 0837 0007 -2236Alfa N 0047 0041 0056 0004 0804 0002 -11448Rendimento N 0053 0022 0079 0011 0874 0008 -1549Bancoob N 0056 0050 0064 0005 0856 0003 -4874Original N 0087 0018 0288 0093 0728 0006 -4259Banco Intermedium SA N 0055 0027 0078 0019 0744 0006 -4047

Table A10 ndash Continue on next page

49

Table A10 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0217 0048 0763 0003 -7417Banco BBN SA N 0051 0026 0075 0014 0820 0012 -1504B Cooperativo Sicredi SA N 0051 0040 0061 0005 0876 0005 -2499B Cooperativo do Brasil SA N 0054 0043 0136 0019 0912 0006 -1445Banco Topazio SA N 0061 0034 0109 0026 0838 0006 -2897Banco Gerador SA N 0073 0052 0124 0026 0855 0008 -1918Banco Randon SA N 0120 0024 0327 0114 0785 0005 -4153Parana Banco SA N 0048 0026 0106 0020 0786 0008 -2732Banco Triangulo SA N 0055 0027 0111 0022 0834 0004 -4227Banco Guanabara SA N 0052 0024 0153 0024 0779 0004 -5589Banco Cedula SA N 0069 0012 0339 0062 0734 0003 -10232Banco Cacique SA N 0076 0027 0246 0076 0785 0016 -1317Banco Luso Brasileiro SA N 0067 0027 0207 0047 0852 0004 -3379Banco Pecunia SA N 0046 0038 0054 0006 0773 0003 -71Banco Zogbi SA N 0047 0037 0061 0010 0778 0001 -14931Banco Daycoval SA N 0054 0022 0126 0026 0782 0004 -5661Banco John Deere SA N 0056 0018 0129 0031 0756 0003 -8043Banco AJ Renner SA N 0053 0025 0080 0015 0829 0006 -2716ABN Amro F 0053 0038 0074 0012 0908 0002 -4751Chase F 0067 0014 0225 0047 0792 0008 -2693LLoyds F 0049 0025 0064 0012 0824 0003 -5227BankBoston F 0054 0037 0096 0020 0899 0006 -1701Santander Brasil F 0057 0033 0103 0019 0884 0008 -1511Citibank F 0059 0026 0154 0028 0871 0003 -4204BNL F 0052 0037 0097 0020 0840 0006 -28Sudameris F 0052 0045 0058 0005 0962 0011 -334Societe Generale F 0060 0023 0151 0031 0827 0006 -2924Europeu F 0050 0032 0066 0012 0849 0007 -2263ABC-Brasil F 0051 0025 0079 0014 0814 0003 -617Dresdner F 0080 0017 0276 0073 0816 0005 -3374AGF Braseg F 0050 0031 0093 0015 0796 0004 -4812HSBC F 0057 0043 0093 0011 0966 0006 -541Deutsche F 0066 0013 0155 0035 0858 0004 -3244BNP Paribas F 0050 0035 0067 0008 0822 0005 -3775Barclays F 0056 0024 0113 0025 0778 0007 -305Rabobank Int Brasil SA F 0057 0021 0163 0027 0842 0003 -5208B Nat de Paris Brasil SA F 0058 0022 0100 0029 0812 0006 -3343Ibibank SA - Banco Multiplo F 0057 0012 0099 0023 0780 0015 -1478Dresdner Bank - B Multiplo F 0087 0016 0244 0068 0770 0008 -2768Banco Westlb Do Brasil SA F 0063 0034 0106 0026 0841 0010 -1625Banco GE Capital SA F 0064 0032 0247 0046 0853 0010 -1522B Com Uruguai SA F 0073 0019 0191 0049 0833 0003 -50981S - State-owned bank N - National bank and F - Foreign bank

50

Table A11 Estimates of Lerner index and return to scale by bank - Model (6)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0036 0096 0015 0939 0007 -855Banrisul S 0050 0035 0098 0014 0938 0008 -82BEC S 0041 0019 0067 0012 0855 0009 -1644BRB S 0053 0029 0124 0018 0956 0002 -1996BB S 0051 0032 0088 0013 0954 0006 -807Caixa Economica Federal S 0054 0040 0094 0012 1014 0003 475B da Amazonia SA S 0053 0015 0103 0022 0846 0008 -205B do Estado Do Para SA S 0051 0028 0074 0013 0943 0004 -1319B do E Do Maranhao SA S 0041 0031 0059 0008 0950 0014 -346B do E Do Piauı SA - Bep S 0042 0028 0084 0012 0879 0004 -2727B do Estado De Sergipe SA S 0052 0022 0153 0022 0953 0003 -1377Nossa Caixa - N Banco SA S 0047 0032 0081 0014 0969 0004 -74Bradesco N 0052 0032 0097 0019 0898 0004 -2645Itau N 0054 0027 0190 0031 0877 0003 -4452Safra N 0049 0032 0100 0015 0872 0003 -5056Unibanco N 0043 0032 0067 0010 0878 0001 -8666Mercantil Do Brasil N 0053 0026 0087 0017 0938 0002 -3104BBM N 0066 0013 0251 0056 0792 0005 -4556BMC N 0041 0026 0069 0011 0850 0003 -4582BMG N 0067 0016 0228 0057 0781 0003 -6611JMalucelli N 0051 0022 0089 0017 0725 0003 -9344PEBB N 0046 0015 0157 0039 0728 0008 -3313SS N 0058 0025 0230 0046 0801 0007 -292Sofisa N 0053 0020 0119 0025 0809 0002 -8846BIC N 0060 0029 0262 0049 0852 0005 -2697Schahin N 0049 0025 0229 0040 0843 0006 -2523Stock N 0081 0017 0284 0072 0836 0005 -2986Pine N 0049 0021 0112 0019 0812 0004 -5267Socopa N 0050 0026 0095 0015 0900 0003 -3515Intercap N 0055 0021 0196 0035 0828 0006 -2899Indusval N 0061 0029 0262 0049 0863 0005 -2762Bonsucesso N 0052 0019 0123 0026 0791 0005 -3885Industrial do Brasil N 0046 0027 0088 0015 0816 0002 -8698Votorantim N 0051 0027 0139 0027 0813 0007 -262Cacique N 0039 0022 0050 0009 0784 0005 -4707Inter Amex N 0045 0027 0064 0012 0843 0006 -2493Alfa N 0044 0033 0068 0009 0805 0002 -12111Rendimento N 0050 0022 0073 0010 0883 0008 -1543Bancoob N 0066 0055 0072 0007 0856 0003 -4559Original N 0098 0020 0294 0094 0735 0006 -4509Banco Intermedium SA N 0057 0024 0085 0022 0756 0006 -4324

Table A11 ndash Continue on next page

51

Table A11 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0061 0017 0195 0048 0777 0003 -7233Banco BBN SA N 0042 0023 0059 0012 0831 0011 -1529B Cooperativo Sicredi SA N 0048 0035 0066 0009 0879 0005 -2672B Cooperativo do Brasil SA N 0046 0034 0119 0017 0917 0006 -1439Banco Topazio SA N 0070 0031 0129 0036 0853 0005 -2776Banco Gerador SA N 0086 0057 0148 0034 0867 0007 -1825Banco Randon SA N 0126 0028 0331 0114 0799 0005 -4136Parana Banco SA N 0039 0023 0082 0015 0798 0008 -2556Banco Triangulo SA N 0052 0025 0116 0025 0840 0004 -4363Banco Guanabara SA N 0048 0021 0100 0019 0792 0004 -5683Banco Cedula SA N 0067 0013 0356 0067 0749 0002 -10205Banco Cacique SA N 0067 0026 0232 0073 0792 0015 -1356Banco Luso Brasileiro SA N 0065 0025 0237 0052 0864 0004 -3163Banco Pecunia SA N 0037 0029 0045 0006 0786 0003 -7158Banco Zogbi SA N 0037 0027 0045 0007 0785 0002 -13921Banco Daycoval SA N 0053 0020 0120 0031 0787 0003 -6088Banco John Deere SA N 0043 0017 0099 0022 0764 0003 -8346Banco AJ Renner SA N 0050 0025 0080 0013 0840 0006 -2706ABN Amro F 0043 0035 0067 0008 0894 0002 -6685Chase F 0059 0014 0189 0040 0803 0007 -2772LLoyds F 0039 0021 0055 0012 0824 0003 -5536BankBoston F 0044 0029 0075 0015 0890 0006 -1965Santander Brasil F 0054 0028 0107 0024 0871 0008 -1694Citibank F 0054 0023 0133 0026 0863 0003 -4787BNL F 0042 0028 0078 0018 0843 0005 -2998Sudameris F 0041 0036 0052 0006 0948 0010 -491Societe Generale F 0054 0020 0118 0025 0834 0006 -2716Europeu F 0038 0029 0049 0008 0856 0006 -2239ABC-Brasil F 0046 0028 0084 0014 0816 0003 -6111Dresdner F 0063 0015 0239 0061 0823 0005 -3888AGF Braseg F 0047 0027 0074 0014 0807 0004 -4477HSBC F 0054 0032 0109 0018 0950 0006 -823Deutsche F 0058 0013 0122 0028 0863 0004 -305BNP Paribas F 0051 0032 0070 0011 0822 0004 -4145Barclays F 0064 0024 0128 0029 0802 0005 -4051Rabobank Int Brasil SA F 0051 0019 0130 0021 0846 0003 -4992B Nat de Paris Brasil SA F 0043 0019 0070 0019 0819 0005 -3429Ibibank SA - Banco Multiplo F 0049 0010 0083 0020 0785 0013 -161Dresdner Bank - B Multiplo F 0087 0016 0261 0066 0783 0007 -2901Banco Westlb Do Brasil SA F 0051 0030 0082 0019 0850 0009 -1643Banco GE Capital SA F 0053 0028 0239 0044 0859 0009 -1544B Com Uruguai SA F 0071 0017 0217 0054 0845 0003 -48451S - State-owned bank N - National bank and F - Foreign bank

52

Seacuterie de Textos para Discussatildeo do Curso de Ciecircncias Econocircmicas ndash FACEUFG ndash TD [078]

EDITORIAL FACE ndash Faculdade de Administraccedilatildeo Ciecircncias Contaacutebeis e Ciecircncias Econocircmicas Curso de Ciecircncias Econocircmicas Direccedilatildeo FACE Prof Moiseacutes Ferreira da Cunha Vice-Direccedilatildeo FACE Profordf Andreacutea Freire de Lucena Coordenaccedilatildeo do Curso de Ciecircncias Econocircmicas Prof Tiago Camarinha Lopes NEPEC ndash Nuacutecleo de Estudos e Pesquisas Econocircmicas Coordenaccedilatildeo Prof Seacutergio Fornazier Meyrelles Filho SEacuteRIE DE TEXTOS PARA DISCUSSAtildeO DO CURSO DE CIEcircNCIAS ECONOcircMICAS DA UFG Coordenaccedilatildeo e Equipe de Editoraccedilatildeo Prof Sandro Eduardo Monsueto Adriana Moura Guimaratildees Matheus Henrique de Arauacutejo Dutra

Endereccedilo Campus Samambaia Preacutedio da FACE ndash Rodovia GoiacircniaNova Veneza km 0 ndash CEP 74690-900 Goiacircnia ndash GO Tel (62) 3521 ndash 1390 URL httpwwwfaceufgbreconomia Publicaccedilatildeo cujo objetivo eacute divulgar resultados de estudos que contam com a participaccedilatildeo de pesquisadores do NEPEC As opiniotildees contidas nesta publicaccedilatildeo satildeo de inteira responsabilidade do(s) autor(es) natildeo representando necessariamente o ponto de vista do NEPEC ou da FACEUFG Eacute permitida a reproduccedilatildeo desde que citada a fonte

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evidence Journal of Financial Stability 28 203ndash224 doihttpsdoiorg101016jjfs201510

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Cerutti E Correa R Fiorentino E amp Segalla E (2016) Changes in prudential policy instruments ndash a

new cross-country database IMF Working Paper WP1610

Cerutti E Dagher J amp DellrsquoAriccia G (2017b) Housing finance and real-estate booms A cross-country

perspective Journal of Housing Economics 38 1ndash13

Claessens S (2015) An overview of macroprudential policy tools Annual Re-

view of Financial Economics 7 397ndash422 URL httpsdoiorg101146

annurev-financial-111914-041807 doi101146annurev-financial-111914-041807

arXivhttpsdoiorg101146annurev-financial-111914-041807

Claessens S Ghosh S R amp Mihet R (2013) Macro-prudential policies to mitigate financial system

vulnerabilities Journal of International Money and Finance 39 153ndash185 doihttpsdoiorg10

1016jjimonfin201306023

Claessens S amp Laeven L (2004) What drives bank competition some international evidence Journal

of Money Credit and Banking 36 563ndash583 URL httpwwwjstororgstable3838954

Coccorese P (2014) Estimating the Lerner index for the banking industry a stochastic frontier approach

Applied Financial Economics 24 73ndash88 URL httpdxdoiorg101080096031072013866202

doi101080096031072013866202

Coelho C A De Mello J M amp Rezende L (2013) Do Public Banks Compete with Private

Banks Evidence from Concentrated Local Markets in Brazil Journal of Money Credit and Bank-

ing 45 1581ndash1615 URL httponlinelibrarywileycomdoi101111jmcb12063abstract

doi101111jmcb12063

Cubillas E amp Suarez N (2018) Bank market power and lending during the global financial crisis Jour-

nal of International Money and Finance 89 1ndash22 URL httpwwwsciencedirectcomscience

articlepiiS0261560618303048 doihttpsdoiorg101016jjimonfin201808003

Das A amp Kumbhakar S C (2016) Markup and efficiency of Indian banks an input distance func-

tion approach Empirical Economics (pp 1ndash31) URL httplinkspringercomarticle101007

s00181-015-1062-4 doi101007s00181-015-1062-4

Ely R Tabak B amp Teixeira A (2019) Heterogeneous effects of the implementation of macroprudential

policies on bank risk MPRA Paper No94546

Freixas X Laeven L amp Peydro J-L (2015) Systemic Risk Crises and Macroprudential Regulation

Mit Press URL httpwwwjstororgstablejctt17kk82g

Galati G amp Moessner R (2013) Macroprudential policy ndash a literature review Jour-

nal of Economic Surveys 27 846ndash878 URL httpsonlinelibrarywileycom

27

doiabs101111j1467-6419201200729x doi101111j1467-6419201200729x

arXivhttpsonlinelibrarywileycomdoipdf101111j1467-6419201200729x

Gropp R Mosk T Ongena S amp Wix C (2018) Banks Response to Higher Cap-

ital Requirements Evidence from a Quasi-Natural Experiment The Review of Finan-

cial Studies 32 266ndash299 URL httpsdoiorg101093rfshhy052 doi101093rfshhy052

arXivhttpoupprodsislanrfsarticle-pdf32126627185080hhy052pdf

Hyde C E amp Perloff J M (1995) Can market power be estimated Review of Industrial Organization 10

465ndash485 URL httplinkspringercomarticle101007BF01024231 doi101007BF01024231

Igan D amp Kang H (2011) Do loan-to-value and debt-to-income limits work evidence from korea IMF

Working Papers (pp 1ndash34)

Jimenez G Ongena S Peydro J-L amp Saurina J (2017) Macroprudential policy countercyclical bank

capital buffers and credit supply Evidence from the spanish dynamic provisioning experiments Journal

of Political Economy 125 2126ndash2177 URL httpsdoiorg101086694289 doi101086694289

arXivhttpsdoiorg101086694289

Jondrow J Knox Lovell C A Materov I S amp Schmidt P (1982) On the estimation of technical

inefficiency in the stochastic frontier production function model Journal of Econometrics 19 233ndash

238 URL httpwwwsciencedirectcomsciencearticlepii0304407682900045 doi101016

0304-4076(82)90004-5

Klingelhoger J amp Sun R (2019) Macruprudential policy central banks and financial stability Evidence

from china Journal of International Money and Finance 93 19ndash41 URL httpsdoiorg101016

jjimonfin201812015

Kumbhakar S C (2012) Specification and estimation of primal production models European Journal

of Operational Research 217 509ndash518 URL httpwwwsciencedirectcomsciencearticlepii

S0377221711008939 doi101016jejor201109043

Kumbhakar S C Baardsen S amp Lien G (2012) A New Method for Estimating Market Power with

an Application to Norwegian Sawmilling Review of Industrial Organization 40 109ndash129 URL http

linkspringercomarticle101007s11151-012-9339-7 doi101007s11151-012-9339-7

Lerner A P (1934) The Concept of Monopoly and the Measurement of Monopoly Power The Review

of Economic Studies 1 157ndash175 URL httprestudoxfordjournalsorglookupdoi102307

2967480 doi1023072967480

Lim C H Costa A Columba F Kongsamut P Otani A Saiyid M Wezel T amp Wu X (2011)

Macroprudential policy what instruments and how to use them lessons from country experiences IMF

working papers (pp 1ndash85)

Lopez R A He X amp Azzam A (2018) Stochastic frontier estimation of market

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power in the food industries Journal of Agricultural Economics 69 3ndash17 URL https

onlinelibrarywileycomdoiabs1011111477-955212219 doi1011111477-955212219

arXivhttpsonlinelibrarywileycomdoipdf1011111477-955212219

Lucinda C R (2010) Competition in the Brazilian loan market an empirical analysis Estudos Economicos

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S0101-41612010000400004amplng=enampnrm=isoamptlng=en doi101590S0101-41612010000400004

Moreno R (2011) Policymaking from arsquomacroprudentialrsquoperspective in emerging market economies

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Wong T Fong T Li K-f amp Choi H (2011) Loan-to-value ratio as a macroprudential tool-hong kongrsquos

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Economics 42 33ndash52

29

Figure 1 Evolution of the Herfindahl Index (HHI) over time using credit and total assets for theBrazilian banking system

30

Figure 2 Marginal effects of HHI and prudential instruments (Capital Buffer Capital RequirementLTV Reserve Requirement (Foreign) Reserve Requirement (domestic) and cumulative prud) on the

mark-up u component

31

Figure 3 Frequency distribution of Lerner indexes for each model and density estimation Kernel by typeof control

32

Figure 4 Lerner indexes according to the size (market share) of banksrsquo assets

33

Figure 5 Average Lerner indices for each model between 2000q2 and 2014q4

34

Figure 6 Average Lerner indices estimated for public private national and private foreign banks between2000q2 and 2014q4

35

Figure 7 Frequency distribution of the returns to scale indexes for each model and density estimationKernel by type of control

36

Table 1 Variables used to IDF estimatation

Variabel Description SourceBasic variables

TR Total Revenue = Gross Insterest Income (a) + Bank-ing Service Fee Income (d1) + Banking Fee Income(d2) + Other Operating Income (d7)

Inc statIFData

TC Total Cost = Interest Expenses (b) + Personnel Ex-penses (d3) + Administrative Expenses (d4) + TaxExpenses (d5) + Other Operating Expenses (d8)

Inc statIFData

Y Loan Lease and Other Credit Operations by RiskLevel

SummaryIFData

x1 Personnel Expenses (d3) Inc statIFDatax2 Funding (e) LiabilitiesIFDatax3 Equity (j) LiabilitiesIFData

Model variabelslnRC Log of Revenue-Cost ratiolnY Log of total loanlnx1 Log of personnel expenses and equity ratio (x1x3)lnx2 Log of funding and equity ratio (x2x3)T Time

Prudential variables - Deterministic mark-up parametersHHIt HHIt =

sumS2it where Sit

2 is market share of totalasset of bank i on time t

Inc statIFData

cb cumulative change of capital buffer Cerutti et al (2016)cr cumulative change of capital requirement Cerutti et al (2016)ltv cumulative change of loan-to-value Cerutti et al (2016)

rr foreign cumulative change of reserve requirement (foreigncurrency)

Cerutti et al (2016)

rr local cumulative change of reserve requirement (domesticcurrency)

Cerutti et al (2016)

37

Table 2 Results of IDF estimation

Parameters VariablesEstimates

Model Model Model Model Model Model(1) (2) (3) (4) (5) (6)

Parametros da funcao insumo distanciaαY Y lnY -0013 -0003 -0004 -0012 -0011 -0005

(000) (000) (000) (000) (000) (000)α1Y lnx1 -0096 -0095 -0094 -0094 -0096 -0090

(001) (001) (001) (001) (001) (001)α2Y lnx2 -0019 -0022 -0022 -0019 -0020 -0021

(001) (001) (001) (001) (001) (001)αY T T -0000 -0000 -0000 -0000 -0000 -0000

(000) (000) (000) (000) (000) (000)αY const 1153 1010 1035 1134 1129 1057

(005) (007) (005) (005) (005) (006)

Deterministic Mark-up parametersδ1 HHI 764157

(12270)δ1 Capital

Buffer7586(065)

δ2 CapitalReq

4696(160)

δ1 Loan-to-value38511(671)

δ1 ResR(foreign)10730(433)

δ2 ResR(local)2869(126)

δ1 Cum Prud3237(020)

δ0 const minus10601minus10194minus5306 minus9866 minus8577 minus4993(032) (2064) (316) (079) (119) (122)

Distribution of u and vσ2u 2840 1418 1620 2643 2441 1593σ2v 0118 0121 0120 0118 0118 0120λ 2402 1172 1354 2233 2065 1325Log Lik 887404 922033 918606 896019 891991 907817

EstimatesEstimates of Mark-up (u)Avg 0075 0065 0068 0074 0075 00691st quartile 0052 0038 0051 0051 0051 0044Median 0062 0048 0060 0060 0061 00543st quartile 0080 0074 0079 0079 0079 0075std-dev 0053 0054 0053 0053 0054 0054

Note p lt 010 p lt 005 and p lt 001

38

Table 3 Estimates of Lerner index general and by type of control

EstimatesModel Model Model Model Model Model

(1) (2) (3) (4) (5) (6)Mark-up (L) generalAverage 0058 0051 0053 0057 0058 0053std-dev 0032 0034 0034 0032 0032 00331st quartile 0043 0031 0034 0041 0042 0036Median 0051 0039 0044 0050 0050 00453st quartile 0063 0060 0059 0063 0063 0060Mark-up (L) State-owned banksAverage 0057 0047 0049 0056 0056 0050std-dev 0018 0017 0017 0018 0016 00161st quartile 0047 0035 0038 0045 0046 0040Median 0054 0041 0046 0053 0053 00463st quartile 0064 0056 0056 0064 0063 0057Mark-up (L) National banksAverage 0057 0052 0054 0057 0057 0054std-dev 0034 0038 0038 0035 0035 00371st quartile 0041 0030 0033 0040 0041 0035Median 0050 0038 0043 0048 0049 00443st quartile 0061 0061 0060 0061 0062 0060Mark-up (L) Foreign banksAverage 0061 0050 0053 0059 0060 0054std-dev 0034 0033 0032 0034 0034 00321st quartile 0042 0031 0034 0041 0042 0036Median 0052 0040 0044 0051 0051 00453st quartile 0068 0059 0060 0066 0066 0061

Table 4 Estimates of returns to scale by control type and general

ModelState-owned

banksNational

banksForeignbanks

General std-dev Min Max

1 0944 0824 0842 0848 0073 0665 11242 0940 0829 0843 0851 0066 0690 10733 0938 0827 0842 0849 0066 0689 10764 0941 0824 0842 0848 0071 0671 11115 0942 0824 0841 0848 0072 0669 11136 0937 0829 0844 0850 0065 0692 1073

39

Appendix A Attachment Tables

Table A5 Cumulative change on Prudential Measures intensity

TimeCapitalBuffer 2

(cb)

CapitalReq(cr)

Loan-to-Value(ltv)

Reserve Reqlocal curr

(RR local)

Reserve Reqforeign cur

(RR foreign)

CumulativePrudential 3

(Cum Prud)2000q2 -1 0 0 0 -2 -32000q4 -1 0 0 0 -2 -32001q2 -1 0 0 0 -2 -32001q4 0 0 0 0 -1 -12002q2 0 0 0 0 0 02002q4 2 0 0 0 2 42003q2 0 0 0 0 3 32003q4 0 0 0 0 2 22004q2 0 0 0 0 2 22004q4 0 0 0 0 2 22005q2 0 0 0 0 2 22005q4 0 0 0 0 2 22006q2 0 0 0 0 2 22006q4 0 0 0 0 2 22007q2 2 0 0 0 2 42007q4 2 0 0 0 2 42008q2 2 0 0 0 2 42008q4 2 0 0 0 1 32009q2 2 0 0 0 0 22009q4 2 0 0 0 -1 12010q2 2 0 0 0 1 32010q4 3 0 0 0 3 62011q2 3 0 0 1 3 72011q4 4 0 0 2 3 92012q2 3 1 0 2 3 92012q4 3 1 0 1 2 72013q2 3 2 0 0 2 72013q4 3 2 1 0 2 82014q2 3 2 1 0 2 82014q4 2 2 1 0 3 82Sum of capital buffer and others 3Aggregate measure (It is the sum of the change of all other instrument)

40

Table A6 Estimates of Lerner index and return to scale by bank - Model (1)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0042 0082 0009 0940 0007 -85Banrisul S 0055 0041 0084 0009 0952 0008 -635BEC S 0048 0021 0077 0016 0844 0009 -1756BRB S 0058 0033 0100 0015 0961 0003 -1533BB S 0058 0039 0098 0012 0990 0006 -173Caixa Economica Federal S 0063 0051 0174 0022 1052 0004 1458B da Amazonia SA S 0057 0016 0124 0023 0844 0008 -2028B do Estado Do Para SA S 0061 0026 0110 0022 0936 0004 -1764B do Est do Maranhao SA S 0055 0046 0065 0006 0935 0014 -455B do Est do Piauı SA - Bep S 0057 0030 0155 0029 0862 0004 -326B do Estado De Sergipe SA S 0061 0024 0135 0022 0947 0004 -1453Nossa Caixa - N Banco SA S 0057 0036 0090 0013 0981 0004 -444Bradesco N 0056 0038 0114 0015 0925 0004 -1945Itau N 0059 0031 0220 0033 0901 0003 -3797Safra N 0053 0037 0085 0009 0885 0003 -4215Unibanco N 0055 0037 0088 0014 0897 0001 -7054Mercantil Do Brasil N 0057 0027 0077 0011 0945 0002 -2527BBM N 0076 0016 0300 0065 0783 0005 -4464BMC N 0052 0030 0079 0012 0845 0003 -4703BMG N 0065 0017 0208 0045 0779 0003 -729JMalucelli N 0047 0022 0069 0013 0718 0003 -8765PEBB N 0065 0017 0181 0047 0698 0008 -3914SS N 0057 0034 0220 0037 0799 0007 -2839Sofisa N 0054 0021 0092 0020 0804 0002 -9903BIC N 0060 0034 0236 0040 0855 0005 -276Schahin N 0056 0028 0214 0035 0835 0006 -262Stock N 0081 0020 0267 0067 0817 0006 -3107Pine N 0052 0022 0108 0019 0808 0004 -545Socopa N 0056 0027 0120 0017 0886 0003 -3806Intercap N 0060 0023 0212 0037 0812 0007 -2851Indusval N 0062 0030 0246 0043 0857 0005 -3139Bonsucesso N 0052 0020 0092 0018 0779 0005 -4033Industrial do Brasil N 0051 0031 0081 0016 0807 0002 -952Votorantim N 0052 0037 0107 0017 0819 0009 -2117Cacique N 0053 0024 0071 0014 0774 0005 -4621Inter Amex N 0055 0037 0068 0010 0837 0008 -2158Alfa N 0048 0041 0059 0005 0806 0002 -11303Rendimento N 0053 0022 0080 0012 0872 0008 -1562Bancoob N 0052 0046 0056 0003 0856 0003 -5061Original N 0085 0017 0279 0090 0729 0007 -4163Banco Intermedium SA N 0052 0028 0070 0015 0743 0006 -3973

Table A6 ndash Continue on next page

41

Table A6 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0225 0049 0761 0003 -7509Banco BBN SA N 0053 0027 0077 0014 0817 0012 -1509B Cooperativo Sicredi SA N 0052 0043 0062 0005 0875 0005 -2477B Cooperativo do Brasil SA N 0056 0046 0142 0020 0910 0006 -1479Banco Topazio SA N 0060 0035 0110 0027 0834 0006 -2966Banco Gerador SA N 0069 0045 0122 0028 0852 0008 -1968Banco Randon SA N 0109 0023 0320 0109 0783 0005 -4158Parana Banco SA N 0050 0026 0108 0020 0784 0008 -2799Banco Triangulo SA N 0055 0028 0091 0020 0833 0004 -4201Banco Guanabara SA N 0052 0024 0169 0025 0777 0004 -5588Banco Cedula SA N 0068 0012 0339 0061 0731 0003 -10236Banco Cacique SA N 0077 0028 0248 0077 0785 0016 -1309B Luso Brasileiro SA N 0065 0027 0208 0043 0849 0004 -349Banco Pecunia SA N 0047 0039 0060 0006 0770 0003 -7086Banco Zogbi SA N 0051 0038 0067 0011 0778 0001 -15193Banco Daycoval SA N 0054 0023 0131 0026 0783 0004 -5522B John Deere SA N 0059 0018 0133 0033 0756 0003 -7955Banco AJ Renner SA N 0053 0025 0081 0015 0827 0006 -2742ABN Amro F 0056 0039 0079 0014 0914 0002 -427Chase F 0068 0014 0228 0049 0790 0008 -2678LLoyds F 0053 0027 0064 0012 0825 0003 -5159BankBoston F 0057 0040 0099 0020 0902 0006 -1638Santander Brasil F 0057 0034 0097 0017 0890 0008 -146Citibank F 0059 0026 0153 0028 0875 0003 -4039BNL F 0055 0041 0097 0019 0840 0006 -2767Sudameris F 0056 0048 0065 0005 0966 0012 -297Societe Generale F 0060 0024 0153 0031 0826 0006 -299Europeu F 0054 0032 0073 0013 0848 0007 -2287ABC-Brasil F 0052 0025 0082 0014 0815 0003 -6207Dresdner F 0083 0017 0280 0074 0815 0006 -3234AGF Braseg F 0051 0031 0100 0016 0794 0004 -4923HSBC F 0057 0046 0092 0010 0971 0006 -466Deutsche F 0068 0013 0160 0036 0857 0004 -3335BNP Paribas F 0050 0037 0068 0007 0824 0005 -3665Barclays F 0052 0024 0089 0021 0771 0008 -2787Rabobank Int Brasil SA F 0058 0022 0166 0028 0842 0003 -5284B Nat de Paris Br SA F 0063 0023 0109 0033 0811 0006 -3331Ibibank SA - Banco Multiplo F 0059 0012 0106 0024 0781 0015 -1441Dresdner Bank - B Multiplo F 0086 0016 0244 0068 0768 0008 -2746Banco Westlb Do Brasil SA F 0064 0034 0108 0027 0839 0010 -1626Banco GE Capital SA F 0067 0032 0247 0047 0852 0010 -1527B Com Uruguai SA F 0072 0020 0192 0049 0830 0003 -52281S - State-owned bank N - National bank and F - Foreign bank

42

Table A7 Estimates of Lerner index and return to scale by bank - Model (2)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0049 0032 0085 0016 0944 0008 -716Banrisul S 0049 0032 0106 0017 0939 0008 -75BEC S 0032 0016 0046 0008 0860 0009 -1489BRB S 0049 0030 0112 0017 0961 0002 -1681BB S 0049 0032 0091 0016 0948 0006 -845Caixa Economica Federal S 0052 0034 0081 0014 1012 0003 382B da Amazonia SA S 0053 0015 0140 0028 0847 0008 -1922B do Estado Do Para SA S 0046 0029 0063 0009 0952 0005 -963B do Est do Maranhao SA S 0036 0029 0045 0005 0963 0016 -235B do Est do Piauı SA - Bep S 0036 0023 0071 0011 0888 0005 -2314B do Estado De Sergipe SA S 0050 0020 0155 0024 0962 0004 -1043Nossa Caixa - N Banco SA S 0039 0027 0074 0011 0972 0005 -601Bradesco N 0050 0028 0116 0023 0890 0004 -2618Itau N 0052 0024 0222 0037 0869 0003 -4269Safra N 0046 0028 0100 0017 0867 0003 -5042Unibanco N 0035 0028 0054 0007 0873 0001 -8511Mercantil Do Brasil N 0051 0029 0093 0019 0941 0002 -2837BBM N 0063 0012 0213 0048 0790 0005 -4494BMC N 0034 0023 0049 0007 0851 0003 -4266BMG N 0065 0015 0233 0057 0776 0004 -6135JMalucelli N 0052 0018 0080 0016 0720 0003 -9566PEBB N 0037 0014 0108 0025 0732 0009 -3086SS N 0056 0024 0236 0046 0797 0007 -2849Sofisa N 0052 0018 0107 0028 0808 0002 -8115BIC N 0057 0026 0259 0050 0850 0006 -2531Schahin N 0047 0022 0225 0041 0845 0007 -2359Stock N 0078 0017 0287 0071 0843 0006 -2782Pine N 0048 0018 0114 0023 0811 0004 -4973Socopa N 0050 0022 0136 0024 0908 0003 -3089Intercap N 0051 0019 0133 0031 0832 0006 -2759Indusval N 0061 0023 0267 0052 0866 0006 -2437Bonsucesso N 0050 0017 0109 0026 0791 0006 -3655Industrial do Brasil N 0044 0024 0079 0015 0816 0002 -8095Votorantim N 0048 0025 0120 0026 0807 0007 -2721Cacique N 0033 0020 0039 0006 0782 0005 -4597Inter Amex N 0035 0025 0045 0007 0844 0006 -2419Alfa N 0042 0029 0069 0013 0801 0002 -12139Rendimento N 0049 0019 0077 0015 0889 0008 -1394Bancoob N 0065 0057 0073 0006 0855 0003 -4199Original N 0099 0019 0299 0096 0732 0006 -4473Banco Intermedium SA N 0062 0032 0081 0019 0754 0006 -4393

Table A7 ndash Continue on next page

43

Table A7 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0059 0016 0239 0051 0778 0003 -6944Banco BBN SA N 0035 0020 0053 0009 0834 0011 -1466B Cooperativo Sicredi SA N 0045 0032 0070 0011 0881 0005 -2581B Cooperativo do Brasil SA N 0045 0029 0147 0025 0922 0006 -1274Banco Topazio SA N 0076 0043 0138 0038 0861 0005 -2569Banco Gerador SA N 0089 0054 0153 0037 0874 0008 -1645Banco Randon SA N 0122 0029 0335 0113 0803 0005 -388Parana Banco SA N 0033 0020 0062 0011 0800 0009 -234Banco Triangulo SA N 0052 0022 0105 0027 0841 0004 -4148Banco Guanabara SA N 0046 0019 0091 0020 0793 0004 -5561Banco Cedula SA N 0062 0011 0359 0067 0749 0003 -9911Banco Cacique SA N 0049 0020 0157 0048 0791 0016 -1315Banco Luso Brasileiro SA N 0066 0022 0241 0055 0870 0005 -2851Banco Pecunia SA N 0032 0027 0036 0003 0787 0003 -6876Banco Zogbi SA N 0032 0026 0037 0005 0784 0002 -13006Banco Daycoval SA N 0053 0019 0139 0036 0784 0004 -6065Banco John Deere SA N 0035 0016 0073 0016 0761 0003 -8278Banco AJ Renner SA N 0047 0021 0083 0015 0844 0006 -2553ABN Amro F 0035 0027 0047 0006 0889 0002 -7231Chase F 0054 0013 0157 0033 0804 0007 -2702LLoyds F 0033 0020 0043 0008 0821 0003 -5429BankBoston F 0036 0026 0060 0011 0888 0006 -1917Santander Brasil F 0055 0025 0115 0030 0864 0008 -1647Citibank F 0051 0020 0132 0025 0860 0003 -4735BNL F 0036 0026 0062 0012 0843 0005 -2959Sudameris F 0036 0031 0040 0004 0949 0011 -468Societe Generale F 0051 0018 0104 0024 0835 0007 -2454Europeu F 0034 0025 0041 0006 0859 0007 -2076ABC-Brasil F 0043 0026 0086 0015 0813 0003 -5797Dresdner F 0050 0014 0190 0046 0824 0004 -3975AGF Braseg F 0044 0024 0068 0014 0810 0005 -4109HSBC F 0052 0031 0110 0021 0948 0007 -776Deutsche F 0054 0012 0166 0030 0866 0005 -2754BNP Paribas F 0049 0028 0073 0013 0818 0004 -4092Barclays F 0065 0028 0121 0027 0811 0005 -4028Rabobank Int Brasil SA F 0047 0017 0102 0017 0845 0003 -4605B Nat de Paris Brasil SA F 0036 0017 0054 0013 0819 0005 -3304Ibibank SA - Banco Multiplo F 0043 0010 0114 0025 0782 0013 -1623Dresdner Bank - B Multiplo F 0096 0015 0270 0076 0785 0007 -2924Banco Westlb Do Brasil SA F 0041 0026 0062 0013 0853 0010 -154Banco GE Capital SA F 0054 0026 0253 0049 0862 0010 -1444B Com Uruguai SA F 0070 0017 0220 0058 0849 0003 -4471S - State-owned bank N - National bank and F - Foreign bank

44

Table A8 Estimates of Lerner index and return to scale by bank - Model (3)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0034 0090 0016 0941 0008 -772Banrisul S 0051 0032 0108 0016 0938 0008 -772BEC S 0035 0018 0051 0009 0856 0009 -1562BRB S 0052 0032 0122 0018 0958 0002 -1793BB S 0052 0035 0085 0015 0951 0006 -809Caixa Economica Federal S 0054 0039 0098 0014 1015 0003 465B da Amazonia SA S 0053 0014 0113 0024 0845 0008 -1977B do Estado Do Para SA S 0049 0028 0071 0010 0947 0005 -1117B do E do Maranhao SA S 0041 0032 0059 0008 0957 0015 -285B do E do Piauı SA - Bep S 0041 0028 0086 0014 0882 0005 -2518B do Estado De Sergipe SA S 0052 0021 0145 0022 0957 0004 -1182Nossa Caixa - N Banco SA S 0045 0029 0081 0015 0971 0005 -651Bradesco N 0052 0029 0101 0021 0893 0004 -2614Itau N 0054 0025 0203 0034 0872 0003 -4328Safra N 0048 0029 0093 0015 0869 0003 -5008Unibanco N 0041 0028 0067 0010 0874 0001 -8514Mercantil Do Brasil N 0053 0026 0095 0018 0939 0002 -29BBM N 0067 0013 0250 0056 0789 0005 -4501BMC N 0038 0024 0069 0010 0849 0003 -4408BMG N 0067 0015 0233 0058 0776 0004 -6374JMalucelli N 0052 0022 0087 0016 0720 0003 -9426PEBB N 0045 0014 0158 0040 0727 0009 -3192SS N 0057 0025 0231 0046 0797 0007 -287Sofisa N 0053 0018 0116 0026 0807 0002 -8444BIC N 0059 0030 0250 0049 0850 0006 -2596Schahin N 0048 0023 0220 0038 0842 0007 -2424Stock N 0083 0017 0304 0077 0838 0006 -2873Pine N 0049 0019 0105 0020 0810 0004 -5103Socopa N 0050 0026 0111 0018 0903 0003 -3253Intercap N 0055 0020 0196 0036 0828 0006 -283Indusval N 0062 0029 0282 0052 0863 0005 -2588Bonsucesso N 0051 0017 0118 0025 0789 0006 -3771Industrial do Brasil N 0046 0025 0086 0015 0815 0002 -8341Votorantim N 0050 0027 0128 0027 0809 0007 -2664Cacique N 0037 0020 0048 0009 0781 0005 -4645Inter Amex N 0039 0026 0058 0009 0842 0006 -2468Alfa N 0044 0031 0072 0011 0801 0002 -11998Rendimento N 0049 0022 0078 0011 0885 0008 -1463Bancoob N 0066 0057 0077 0007 0854 0003 -4342Original N 0102 0019 0301 0096 0730 0006 -4526Banco Intermedium SA N 0059 0027 0083 0020 0752 0006 -4354

Table A8 ndash Continue on next page

45

Table A8 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0017 0217 0054 0776 0003 -7084Banco BBN SA N 0038 0022 0058 0010 0831 0011 -1492B Cooperativo Sicredi SA N 0047 0035 0071 0010 0879 0005 -259B Cooperativo do Brasil SA N 0046 0035 0128 0020 0919 0006 -1339Banco Topazio SA N 0075 0036 0153 0041 0855 0005 -2657Banco Gerador SA N 0091 0057 0144 0034 0869 0008 -173Banco Randon SA N 0124 0029 0332 0112 0799 0005 -4023Parana Banco SA N 0036 0021 0071 0012 0797 0008 -2452Banco Triangulo SA N 0053 0023 0115 0027 0839 0004 -4256Banco Guanabara SA N 0047 0020 0100 0019 0790 0004 -561Banco Cedula SA N 0066 0012 0362 0068 0747 0003 -10082Banco Cacique SA N 0063 0026 0231 0074 0789 0016 -1336Banco Luso Brasileiro SA N 0066 0026 0249 0053 0865 0005 -2985Banco Pecunia SA N 0034 0029 0041 0004 0784 0003 -7038Banco Zogbi SA N 0036 0027 0046 0006 0782 0002 -13399Banco Daycoval SA N 0054 0019 0131 0034 0784 0004 -607Banco John Deere SA N 0039 0015 0083 0018 0761 0003 -8316Banco AJ Renner SA N 0049 0024 0073 0013 0840 0006 -2621ABN Amro F 0041 0030 0066 0009 0890 0002 -6866Chase F 0059 0013 0173 0039 0801 0007 -2733LLoyds F 0038 0021 0055 0010 0821 0003 -5484BankBoston F 0040 0028 0063 0012 0888 0006 -1931Santander Brasil F 0056 0028 0107 0027 0866 0008 -1663Citibank F 0052 0022 0123 0023 0860 0003 -4735BNL F 0039 0028 0063 0014 0841 0005 -2966Sudameris F 0041 0036 0052 0006 0948 0011 -473Societe Generale F 0052 0020 0103 0022 0833 0006 -2579Europeu F 0038 0030 0049 0007 0856 0007 -2153ABC-Brasil F 0046 0029 0079 0014 0813 0003 -5935Dresdner F 0055 0014 0212 0052 0822 0005 -3913AGF Braseg F 0046 0027 0071 0014 0806 0005 -4276HSBC F 0053 0032 0101 0019 0949 0007 -784Deutsche F 0058 0013 0141 0029 0863 0005 -2878BNP Paribas F 0051 0030 0074 0012 0818 0004 -4118Barclays F 0066 0025 0130 0030 0805 0005 -4123Rabobank Int Brasil SA F 0049 0019 0109 0018 0844 0003 -4752B Nat de Paris Brasil SA F 0041 0019 0069 0018 0817 0005 -3368Ibibank SA - Banco Multiplo F 0046 0010 0095 0021 0781 0014 -1617Dresdner Bank - B Multiplo F 0093 0017 0282 0072 0782 0008 -2899Banco Westlb Do Brasil SA F 0044 0027 0069 0015 0850 0009 -1591Banco GE Capital SA F 0055 0026 0249 0046 0859 0009 -1489B Com Uruguai SA F 0071 0017 0228 0056 0845 0003 -46241S - State-owned bank N - National bank and F - Foreign bank

46

Table A9 Estimates of Lerner index and return to scale by bank - Model (4)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0054 0041 0078 0011 0939 0007 -873Banrisul S 0055 0040 0106 0014 0948 0008 -692BEC S 0046 0020 0072 0014 0846 0009 -1746BRB S 0057 0032 0094 0016 0959 0002 -1673BB S 0057 0038 0095 0014 0981 0006 -33Caixa Economica Federal S 0061 0049 0165 0021 1042 0003 1249B da Amazonia SA S 0056 0015 0117 0022 0844 0008 -2047B do Estado Do Para SA S 0059 0025 0103 0020 0936 0004 -1701B do E Do Maranhao SA S 0052 0044 0062 0005 0936 0014 -448B do E Do Piauı SA - Bep S 0054 0029 0147 0028 0865 0004 -3201B do Estado De Sergipe SA S 0061 0023 0168 0026 0947 0004 -1484Nossa Caixa - N Banco SA S 0054 0035 0085 0012 0977 0004 -547Bradesco N 0056 0036 0107 0017 0919 0004 -2123Itau N 0058 0030 0212 0032 0896 0003 -3979Safra N 0052 0035 0107 0013 0882 0003 -445Unibanco N 0052 0035 0082 0013 0892 0001 -7446Mercantil Do Brasil N 0057 0027 0093 0015 0942 0002 -2687BBM N 0075 0015 0294 0064 0784 0005 -4512BMC N 0050 0029 0074 0011 0846 0003 -472BMG N 0065 0016 0202 0047 0779 0003 -7192JMalucelli N 0048 0022 0071 0014 0720 0003 -8923PEBB N 0061 0016 0172 0044 0704 0008 -382SS N 0056 0033 0213 0037 0799 0007 -2875Sofisa N 0053 0020 0087 0019 0805 0002 -9731BIC N 0061 0033 0269 0048 0854 0005 -2768Schahin N 0053 0027 0205 0034 0836 0006 -2627Stock N 0081 0020 0265 0068 0820 0006 -3122Pine N 0052 0022 0118 0021 0808 0004 -5467Socopa N 0054 0026 0114 0016 0888 0003 -3785Intercap N 0057 0023 0203 0035 0815 0006 -2877Indusval N 0062 0029 0239 0043 0857 0005 -3085Bonsucesso N 0052 0019 0088 0018 0782 0005 -403Industrial do Brasil N 0050 0030 0076 0015 0809 0002 -9427Votorantim N 0051 0036 0102 0017 0817 0008 -2222Cacique N 0050 0023 0067 0013 0776 0005 -4659Inter Amex N 0052 0035 0064 0009 0837 0007 -2226Alfa N 0048 0039 0071 0007 0805 0002 -11484Rendimento N 0052 0022 0076 0013 0874 0008 -1571Bancoob N 0057 0045 0071 0011 0855 0003 -5022Original N 0094 0017 0278 0090 0730 0006 -4242Banco Intermedium SA N 0049 0027 0065 0014 0746 0006 -4054

Table A9 ndash Continue on next page

47

Table A9 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0019 0220 0050 0764 0003 -7516Banco BBN SA N 0050 0027 0072 0013 0819 0012 -1529B Cooperativo Sicredi SA N 0051 0041 0068 0006 0875 0005 -2551B Cooperativo do Brasil SA N 0053 0044 0134 0018 0910 0006 -151Banco Topazio SA N 0066 0035 0128 0036 0837 0005 -2981Banco Gerador SA N 0082 0045 0157 0043 0854 0007 -1967Banco Randon SA N 0106 0026 0312 0105 0786 0005 -4204Parana Banco SA N 0048 0025 0102 0018 0787 0008 -2768Banco Triangulo SA N 0054 0027 0088 0021 0834 0004 -427Banco Guanabara SA N 0051 0023 0161 0025 0780 0004 -5659Banco Cedula SA N 0069 0012 0360 0065 0735 0003 -1028Banco Cacique SA N 0073 0027 0240 0075 0786 0016 -1327Banco Luso Brasileiro SA N 0065 0026 0242 0047 0852 0004 -346Banco Pecunia SA N 0045 0037 0056 0006 0773 0003 -7139Banco Zogbi SA N 0048 0036 0064 0010 0779 0001 -15057Banco Daycoval SA N 0055 0022 0126 0030 0784 0004 -568Banco John Deere SA N 0056 0018 0125 0031 0757 0003 -8084Banco AJ Renner SA N 0051 0025 0077 0013 0829 0006 -2763ABN Amro F 0053 0038 0074 0013 0909 0002 -4803Chase F 0066 0014 0220 0046 0793 0008 -2711LLoyds F 0050 0026 0060 0011 0825 0003 -5323BankBoston F 0054 0038 0092 0018 0899 0006 -1734Santander Brasil F 0056 0033 0098 0019 0885 0007 -1529Citibank F 0059 0025 0145 0030 0872 0003 -421BNL F 0052 0039 0091 0018 0840 0006 -2854Sudameris F 0053 0046 0062 0005 0961 0011 -352Societe Generale F 0058 0023 0144 0028 0827 0006 -2968Europeu F 0052 0031 0069 0012 0849 0007 -23ABC-Brasil F 0051 0028 0091 0015 0815 0003 -6225Dresdner F 0078 0017 0271 0071 0816 0005 -339AGF Braseg F 0050 0030 0094 0015 0797 0004 -4873HSBC F 0057 0045 0116 0016 0966 0006 -562Deutsche F 0066 0013 0151 0034 0858 0004 -3316BNP Paribas F 0050 0036 0071 0010 0823 0005 -3772Barclays F 0057 0024 0102 0025 0777 0007 -3003Rabobank Int Brasil SA F 0057 0021 0157 0026 0842 0003 -5266B Nat de Paris Brasil SA F 0059 0023 0102 0030 0812 0006 -3387Ibibank SA - Banco Multiplo F 0056 0012 0100 0023 0781 0015 -148Dresdner Bank - B Multiplo F 0084 0016 0237 0064 0771 0008 -2798Banco Westlb Do Brasil SA F 0061 0033 0101 0025 0841 0010 -1646Banco GE Capital SA F 0063 0031 0238 0044 0853 0010 -1548B Com Uruguai SA F 0074 0020 0226 0056 0833 0003 -51921S - State-owned bank N - National bank and F - Foreign bank

48

Table A10 Estimates of Lerner index and return to scale by bank - Model (5)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0043 0093 0012 0940 0007 -834Banrisul S 0054 0041 0083 0009 0949 0008 -668BEC S 0046 0020 0075 0014 0846 0009 -1719BRB S 0058 0032 0121 0017 0960 0002 -1607BB S 0056 0037 0087 0010 0981 0006 -321Caixa Economica Federal S 0061 0050 0156 0019 1044 0003 1282B da Amazonia SA S 0057 0016 0115 0023 0843 0008 -2023B do Estado Do Para SA S 0059 0027 0102 0020 0938 0004 -1608B do E Do Maranhao SA S 0052 0042 0064 0006 0939 0015 -418B do E Do Piauı SA - Bep S 0054 0029 0138 0025 0866 0004 -3097B do Estado De Sergipe SA S 0059 0024 0136 0020 0949 0004 -1404Nossa Caixa - N Banco SA S 0055 0036 0088 0013 0979 0004 -494Bradesco N 0056 0037 0108 0016 0918 0004 -2108Itau N 0058 0031 0213 0033 0894 0003 -3968Safra N 0052 0036 0086 0010 0881 0003 -4388Unibanco N 0053 0037 0085 0013 0892 0001 -7433Mercantil Do Brasil N 0057 0027 0086 0012 0943 0002 -2619BBM N 0075 0015 0292 0063 0784 0005 -447BMC N 0050 0029 0077 0012 0846 0003 -4648BMG N 0067 0017 0220 0051 0777 0003 -7116JMalucelli N 0049 0022 0083 0016 0718 0003 -8879PEBB N 0060 0017 0176 0044 0704 0008 -3743SS N 0059 0032 0223 0041 0798 0007 -2847Sofisa N 0055 0021 0112 0022 0804 0002 -9624BIC N 0060 0032 0238 0041 0853 0005 -2725Schahin N 0055 0028 0228 0038 0836 0006 -2575Stock N 0082 0019 0267 0068 0821 0006 -3063Pine N 0052 0022 0096 0018 0808 0004 -5392Socopa N 0055 0027 0113 0016 0889 0003 -3694Intercap N 0060 0023 0210 0037 0814 0006 -2856Indusval N 0062 0029 0245 0044 0857 0005 -3023Bonsucesso N 0053 0020 0113 0022 0781 0005 -3999Industrial do Brasil N 0051 0030 0084 0016 0808 0002 -9274Votorantim N 0052 0037 0130 0022 0816 0008 -2227Cacique N 0049 0024 0065 0012 0775 0005 -4632Inter Amex N 0052 0034 0067 0011 0837 0007 -2236Alfa N 0047 0041 0056 0004 0804 0002 -11448Rendimento N 0053 0022 0079 0011 0874 0008 -1549Bancoob N 0056 0050 0064 0005 0856 0003 -4874Original N 0087 0018 0288 0093 0728 0006 -4259Banco Intermedium SA N 0055 0027 0078 0019 0744 0006 -4047

Table A10 ndash Continue on next page

49

Table A10 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0217 0048 0763 0003 -7417Banco BBN SA N 0051 0026 0075 0014 0820 0012 -1504B Cooperativo Sicredi SA N 0051 0040 0061 0005 0876 0005 -2499B Cooperativo do Brasil SA N 0054 0043 0136 0019 0912 0006 -1445Banco Topazio SA N 0061 0034 0109 0026 0838 0006 -2897Banco Gerador SA N 0073 0052 0124 0026 0855 0008 -1918Banco Randon SA N 0120 0024 0327 0114 0785 0005 -4153Parana Banco SA N 0048 0026 0106 0020 0786 0008 -2732Banco Triangulo SA N 0055 0027 0111 0022 0834 0004 -4227Banco Guanabara SA N 0052 0024 0153 0024 0779 0004 -5589Banco Cedula SA N 0069 0012 0339 0062 0734 0003 -10232Banco Cacique SA N 0076 0027 0246 0076 0785 0016 -1317Banco Luso Brasileiro SA N 0067 0027 0207 0047 0852 0004 -3379Banco Pecunia SA N 0046 0038 0054 0006 0773 0003 -71Banco Zogbi SA N 0047 0037 0061 0010 0778 0001 -14931Banco Daycoval SA N 0054 0022 0126 0026 0782 0004 -5661Banco John Deere SA N 0056 0018 0129 0031 0756 0003 -8043Banco AJ Renner SA N 0053 0025 0080 0015 0829 0006 -2716ABN Amro F 0053 0038 0074 0012 0908 0002 -4751Chase F 0067 0014 0225 0047 0792 0008 -2693LLoyds F 0049 0025 0064 0012 0824 0003 -5227BankBoston F 0054 0037 0096 0020 0899 0006 -1701Santander Brasil F 0057 0033 0103 0019 0884 0008 -1511Citibank F 0059 0026 0154 0028 0871 0003 -4204BNL F 0052 0037 0097 0020 0840 0006 -28Sudameris F 0052 0045 0058 0005 0962 0011 -334Societe Generale F 0060 0023 0151 0031 0827 0006 -2924Europeu F 0050 0032 0066 0012 0849 0007 -2263ABC-Brasil F 0051 0025 0079 0014 0814 0003 -617Dresdner F 0080 0017 0276 0073 0816 0005 -3374AGF Braseg F 0050 0031 0093 0015 0796 0004 -4812HSBC F 0057 0043 0093 0011 0966 0006 -541Deutsche F 0066 0013 0155 0035 0858 0004 -3244BNP Paribas F 0050 0035 0067 0008 0822 0005 -3775Barclays F 0056 0024 0113 0025 0778 0007 -305Rabobank Int Brasil SA F 0057 0021 0163 0027 0842 0003 -5208B Nat de Paris Brasil SA F 0058 0022 0100 0029 0812 0006 -3343Ibibank SA - Banco Multiplo F 0057 0012 0099 0023 0780 0015 -1478Dresdner Bank - B Multiplo F 0087 0016 0244 0068 0770 0008 -2768Banco Westlb Do Brasil SA F 0063 0034 0106 0026 0841 0010 -1625Banco GE Capital SA F 0064 0032 0247 0046 0853 0010 -1522B Com Uruguai SA F 0073 0019 0191 0049 0833 0003 -50981S - State-owned bank N - National bank and F - Foreign bank

50

Table A11 Estimates of Lerner index and return to scale by bank - Model (6)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0036 0096 0015 0939 0007 -855Banrisul S 0050 0035 0098 0014 0938 0008 -82BEC S 0041 0019 0067 0012 0855 0009 -1644BRB S 0053 0029 0124 0018 0956 0002 -1996BB S 0051 0032 0088 0013 0954 0006 -807Caixa Economica Federal S 0054 0040 0094 0012 1014 0003 475B da Amazonia SA S 0053 0015 0103 0022 0846 0008 -205B do Estado Do Para SA S 0051 0028 0074 0013 0943 0004 -1319B do E Do Maranhao SA S 0041 0031 0059 0008 0950 0014 -346B do E Do Piauı SA - Bep S 0042 0028 0084 0012 0879 0004 -2727B do Estado De Sergipe SA S 0052 0022 0153 0022 0953 0003 -1377Nossa Caixa - N Banco SA S 0047 0032 0081 0014 0969 0004 -74Bradesco N 0052 0032 0097 0019 0898 0004 -2645Itau N 0054 0027 0190 0031 0877 0003 -4452Safra N 0049 0032 0100 0015 0872 0003 -5056Unibanco N 0043 0032 0067 0010 0878 0001 -8666Mercantil Do Brasil N 0053 0026 0087 0017 0938 0002 -3104BBM N 0066 0013 0251 0056 0792 0005 -4556BMC N 0041 0026 0069 0011 0850 0003 -4582BMG N 0067 0016 0228 0057 0781 0003 -6611JMalucelli N 0051 0022 0089 0017 0725 0003 -9344PEBB N 0046 0015 0157 0039 0728 0008 -3313SS N 0058 0025 0230 0046 0801 0007 -292Sofisa N 0053 0020 0119 0025 0809 0002 -8846BIC N 0060 0029 0262 0049 0852 0005 -2697Schahin N 0049 0025 0229 0040 0843 0006 -2523Stock N 0081 0017 0284 0072 0836 0005 -2986Pine N 0049 0021 0112 0019 0812 0004 -5267Socopa N 0050 0026 0095 0015 0900 0003 -3515Intercap N 0055 0021 0196 0035 0828 0006 -2899Indusval N 0061 0029 0262 0049 0863 0005 -2762Bonsucesso N 0052 0019 0123 0026 0791 0005 -3885Industrial do Brasil N 0046 0027 0088 0015 0816 0002 -8698Votorantim N 0051 0027 0139 0027 0813 0007 -262Cacique N 0039 0022 0050 0009 0784 0005 -4707Inter Amex N 0045 0027 0064 0012 0843 0006 -2493Alfa N 0044 0033 0068 0009 0805 0002 -12111Rendimento N 0050 0022 0073 0010 0883 0008 -1543Bancoob N 0066 0055 0072 0007 0856 0003 -4559Original N 0098 0020 0294 0094 0735 0006 -4509Banco Intermedium SA N 0057 0024 0085 0022 0756 0006 -4324

Table A11 ndash Continue on next page

51

Table A11 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0061 0017 0195 0048 0777 0003 -7233Banco BBN SA N 0042 0023 0059 0012 0831 0011 -1529B Cooperativo Sicredi SA N 0048 0035 0066 0009 0879 0005 -2672B Cooperativo do Brasil SA N 0046 0034 0119 0017 0917 0006 -1439Banco Topazio SA N 0070 0031 0129 0036 0853 0005 -2776Banco Gerador SA N 0086 0057 0148 0034 0867 0007 -1825Banco Randon SA N 0126 0028 0331 0114 0799 0005 -4136Parana Banco SA N 0039 0023 0082 0015 0798 0008 -2556Banco Triangulo SA N 0052 0025 0116 0025 0840 0004 -4363Banco Guanabara SA N 0048 0021 0100 0019 0792 0004 -5683Banco Cedula SA N 0067 0013 0356 0067 0749 0002 -10205Banco Cacique SA N 0067 0026 0232 0073 0792 0015 -1356Banco Luso Brasileiro SA N 0065 0025 0237 0052 0864 0004 -3163Banco Pecunia SA N 0037 0029 0045 0006 0786 0003 -7158Banco Zogbi SA N 0037 0027 0045 0007 0785 0002 -13921Banco Daycoval SA N 0053 0020 0120 0031 0787 0003 -6088Banco John Deere SA N 0043 0017 0099 0022 0764 0003 -8346Banco AJ Renner SA N 0050 0025 0080 0013 0840 0006 -2706ABN Amro F 0043 0035 0067 0008 0894 0002 -6685Chase F 0059 0014 0189 0040 0803 0007 -2772LLoyds F 0039 0021 0055 0012 0824 0003 -5536BankBoston F 0044 0029 0075 0015 0890 0006 -1965Santander Brasil F 0054 0028 0107 0024 0871 0008 -1694Citibank F 0054 0023 0133 0026 0863 0003 -4787BNL F 0042 0028 0078 0018 0843 0005 -2998Sudameris F 0041 0036 0052 0006 0948 0010 -491Societe Generale F 0054 0020 0118 0025 0834 0006 -2716Europeu F 0038 0029 0049 0008 0856 0006 -2239ABC-Brasil F 0046 0028 0084 0014 0816 0003 -6111Dresdner F 0063 0015 0239 0061 0823 0005 -3888AGF Braseg F 0047 0027 0074 0014 0807 0004 -4477HSBC F 0054 0032 0109 0018 0950 0006 -823Deutsche F 0058 0013 0122 0028 0863 0004 -305BNP Paribas F 0051 0032 0070 0011 0822 0004 -4145Barclays F 0064 0024 0128 0029 0802 0005 -4051Rabobank Int Brasil SA F 0051 0019 0130 0021 0846 0003 -4992B Nat de Paris Brasil SA F 0043 0019 0070 0019 0819 0005 -3429Ibibank SA - Banco Multiplo F 0049 0010 0083 0020 0785 0013 -161Dresdner Bank - B Multiplo F 0087 0016 0261 0066 0783 0007 -2901Banco Westlb Do Brasil SA F 0051 0030 0082 0019 0850 0009 -1643Banco GE Capital SA F 0053 0028 0239 0044 0859 0009 -1544B Com Uruguai SA F 0071 0017 0217 0054 0845 0003 -48451S - State-owned bank N - National bank and F - Foreign bank

52

Seacuterie de Textos para Discussatildeo do Curso de Ciecircncias Econocircmicas ndash FACEUFG ndash TD [078]

EDITORIAL FACE ndash Faculdade de Administraccedilatildeo Ciecircncias Contaacutebeis e Ciecircncias Econocircmicas Curso de Ciecircncias Econocircmicas Direccedilatildeo FACE Prof Moiseacutes Ferreira da Cunha Vice-Direccedilatildeo FACE Profordf Andreacutea Freire de Lucena Coordenaccedilatildeo do Curso de Ciecircncias Econocircmicas Prof Tiago Camarinha Lopes NEPEC ndash Nuacutecleo de Estudos e Pesquisas Econocircmicas Coordenaccedilatildeo Prof Seacutergio Fornazier Meyrelles Filho SEacuteRIE DE TEXTOS PARA DISCUSSAtildeO DO CURSO DE CIEcircNCIAS ECONOcircMICAS DA UFG Coordenaccedilatildeo e Equipe de Editoraccedilatildeo Prof Sandro Eduardo Monsueto Adriana Moura Guimaratildees Matheus Henrique de Arauacutejo Dutra

Endereccedilo Campus Samambaia Preacutedio da FACE ndash Rodovia GoiacircniaNova Veneza km 0 ndash CEP 74690-900 Goiacircnia ndash GO Tel (62) 3521 ndash 1390 URL httpwwwfaceufgbreconomia Publicaccedilatildeo cujo objetivo eacute divulgar resultados de estudos que contam com a participaccedilatildeo de pesquisadores do NEPEC As opiniotildees contidas nesta publicaccedilatildeo satildeo de inteira responsabilidade do(s) autor(es) natildeo representando necessariamente o ponto de vista do NEPEC ou da FACEUFG Eacute permitida a reproduccedilatildeo desde que citada a fonte

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Gropp R Mosk T Ongena S amp Wix C (2018) Banks Response to Higher Cap-

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arXivhttpoupprodsislanrfsarticle-pdf32126627185080hhy052pdf

Hyde C E amp Perloff J M (1995) Can market power be estimated Review of Industrial Organization 10

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Igan D amp Kang H (2011) Do loan-to-value and debt-to-income limits work evidence from korea IMF

Working Papers (pp 1ndash34)

Jimenez G Ongena S Peydro J-L amp Saurina J (2017) Macroprudential policy countercyclical bank

capital buffers and credit supply Evidence from the spanish dynamic provisioning experiments Journal

of Political Economy 125 2126ndash2177 URL httpsdoiorg101086694289 doi101086694289

arXivhttpsdoiorg101086694289

Jondrow J Knox Lovell C A Materov I S amp Schmidt P (1982) On the estimation of technical

inefficiency in the stochastic frontier production function model Journal of Econometrics 19 233ndash

238 URL httpwwwsciencedirectcomsciencearticlepii0304407682900045 doi101016

0304-4076(82)90004-5

Klingelhoger J amp Sun R (2019) Macruprudential policy central banks and financial stability Evidence

from china Journal of International Money and Finance 93 19ndash41 URL httpsdoiorg101016

jjimonfin201812015

Kumbhakar S C (2012) Specification and estimation of primal production models European Journal

of Operational Research 217 509ndash518 URL httpwwwsciencedirectcomsciencearticlepii

S0377221711008939 doi101016jejor201109043

Kumbhakar S C Baardsen S amp Lien G (2012) A New Method for Estimating Market Power with

an Application to Norwegian Sawmilling Review of Industrial Organization 40 109ndash129 URL http

linkspringercomarticle101007s11151-012-9339-7 doi101007s11151-012-9339-7

Lerner A P (1934) The Concept of Monopoly and the Measurement of Monopoly Power The Review

of Economic Studies 1 157ndash175 URL httprestudoxfordjournalsorglookupdoi102307

2967480 doi1023072967480

Lim C H Costa A Columba F Kongsamut P Otani A Saiyid M Wezel T amp Wu X (2011)

Macroprudential policy what instruments and how to use them lessons from country experiences IMF

working papers (pp 1ndash85)

Lopez R A He X amp Azzam A (2018) Stochastic frontier estimation of market

28

power in the food industries Journal of Agricultural Economics 69 3ndash17 URL https

onlinelibrarywileycomdoiabs1011111477-955212219 doi1011111477-955212219

arXivhttpsonlinelibrarywileycomdoipdf1011111477-955212219

Lucinda C R (2010) Competition in the Brazilian loan market an empirical analysis Estudos Economicos

(Sao Paulo) 40 831ndash858 URL httpwwwscielobrscielophpscript=sci_abstractamppid=

S0101-41612010000400004amplng=enampnrm=isoamptlng=en doi101590S0101-41612010000400004

Moreno R (2011) Policymaking from arsquomacroprudentialrsquoperspective in emerging market economies

Nakane M I (2002) A test of competition in brazilian banking Estudos Economicos (Sao Paulo) 32

203ndash224 URL httpwwwrevistasuspbreearticleview117799

Panzar J C amp Rosse J N (1987) Testing for rdquomonopolyrdquo equilibrium The Journal of Industrial

Economics 35 443ndash456 URL httpwwwjstororgstable2098582 doi1023072098582

Richter B Schularick M amp Shim I (2019) The costs of macroprudential policy Journal of Inter-

national Economics 118 263 ndash 282 URL httpwwwsciencedirectcomsciencearticlepii

S0022199618302617 doihttpsdoiorg101016jjinteco201811011

Schmalensee R (1989) Chapter 16 inter-industry studies of structure and performance In Hand-

book of Industrial Organization (pp 951ndash1009) Elsevier BV URL httpdxdoiorg101016

s1573-448x(89)02004-2 doi101016s1573-448x(89)02004-2

Silva M S d () Avaliacao do processo de concentracao-competicao no setor bancario brasileiro URL

httpwwwbcbgovbrpecwpsporttd377pdf

Tabak B amp Gomes G (2015) The impact of market power at bank level in risk-taking The brazilian

case International Review of Financial Analysis 40 154ndash165

Tabak B M Fazio D M amp Cajueiro D O (2012) The relationship between banking market competition

and risk-taking Do size and capitalization matter 36 3366ndash3381 URL httpwwwsciencedirect

comsciencearticlepiiS0378426612002026 doi101016jjbankfin201207022

Wong T Fong T Li K-f amp Choi H (2011) Loan-to-value ratio as a macroprudential tool-hong kongrsquos

experience and cross-country evidence

Zhang L amp Zoli E (2016) Leaning against the wind Macroprudential policy in asia Journal of Asian

Economics 42 33ndash52

29

Figure 1 Evolution of the Herfindahl Index (HHI) over time using credit and total assets for theBrazilian banking system

30

Figure 2 Marginal effects of HHI and prudential instruments (Capital Buffer Capital RequirementLTV Reserve Requirement (Foreign) Reserve Requirement (domestic) and cumulative prud) on the

mark-up u component

31

Figure 3 Frequency distribution of Lerner indexes for each model and density estimation Kernel by typeof control

32

Figure 4 Lerner indexes according to the size (market share) of banksrsquo assets

33

Figure 5 Average Lerner indices for each model between 2000q2 and 2014q4

34

Figure 6 Average Lerner indices estimated for public private national and private foreign banks between2000q2 and 2014q4

35

Figure 7 Frequency distribution of the returns to scale indexes for each model and density estimationKernel by type of control

36

Table 1 Variables used to IDF estimatation

Variabel Description SourceBasic variables

TR Total Revenue = Gross Insterest Income (a) + Bank-ing Service Fee Income (d1) + Banking Fee Income(d2) + Other Operating Income (d7)

Inc statIFData

TC Total Cost = Interest Expenses (b) + Personnel Ex-penses (d3) + Administrative Expenses (d4) + TaxExpenses (d5) + Other Operating Expenses (d8)

Inc statIFData

Y Loan Lease and Other Credit Operations by RiskLevel

SummaryIFData

x1 Personnel Expenses (d3) Inc statIFDatax2 Funding (e) LiabilitiesIFDatax3 Equity (j) LiabilitiesIFData

Model variabelslnRC Log of Revenue-Cost ratiolnY Log of total loanlnx1 Log of personnel expenses and equity ratio (x1x3)lnx2 Log of funding and equity ratio (x2x3)T Time

Prudential variables - Deterministic mark-up parametersHHIt HHIt =

sumS2it where Sit

2 is market share of totalasset of bank i on time t

Inc statIFData

cb cumulative change of capital buffer Cerutti et al (2016)cr cumulative change of capital requirement Cerutti et al (2016)ltv cumulative change of loan-to-value Cerutti et al (2016)

rr foreign cumulative change of reserve requirement (foreigncurrency)

Cerutti et al (2016)

rr local cumulative change of reserve requirement (domesticcurrency)

Cerutti et al (2016)

37

Table 2 Results of IDF estimation

Parameters VariablesEstimates

Model Model Model Model Model Model(1) (2) (3) (4) (5) (6)

Parametros da funcao insumo distanciaαY Y lnY -0013 -0003 -0004 -0012 -0011 -0005

(000) (000) (000) (000) (000) (000)α1Y lnx1 -0096 -0095 -0094 -0094 -0096 -0090

(001) (001) (001) (001) (001) (001)α2Y lnx2 -0019 -0022 -0022 -0019 -0020 -0021

(001) (001) (001) (001) (001) (001)αY T T -0000 -0000 -0000 -0000 -0000 -0000

(000) (000) (000) (000) (000) (000)αY const 1153 1010 1035 1134 1129 1057

(005) (007) (005) (005) (005) (006)

Deterministic Mark-up parametersδ1 HHI 764157

(12270)δ1 Capital

Buffer7586(065)

δ2 CapitalReq

4696(160)

δ1 Loan-to-value38511(671)

δ1 ResR(foreign)10730(433)

δ2 ResR(local)2869(126)

δ1 Cum Prud3237(020)

δ0 const minus10601minus10194minus5306 minus9866 minus8577 minus4993(032) (2064) (316) (079) (119) (122)

Distribution of u and vσ2u 2840 1418 1620 2643 2441 1593σ2v 0118 0121 0120 0118 0118 0120λ 2402 1172 1354 2233 2065 1325Log Lik 887404 922033 918606 896019 891991 907817

EstimatesEstimates of Mark-up (u)Avg 0075 0065 0068 0074 0075 00691st quartile 0052 0038 0051 0051 0051 0044Median 0062 0048 0060 0060 0061 00543st quartile 0080 0074 0079 0079 0079 0075std-dev 0053 0054 0053 0053 0054 0054

Note p lt 010 p lt 005 and p lt 001

38

Table 3 Estimates of Lerner index general and by type of control

EstimatesModel Model Model Model Model Model

(1) (2) (3) (4) (5) (6)Mark-up (L) generalAverage 0058 0051 0053 0057 0058 0053std-dev 0032 0034 0034 0032 0032 00331st quartile 0043 0031 0034 0041 0042 0036Median 0051 0039 0044 0050 0050 00453st quartile 0063 0060 0059 0063 0063 0060Mark-up (L) State-owned banksAverage 0057 0047 0049 0056 0056 0050std-dev 0018 0017 0017 0018 0016 00161st quartile 0047 0035 0038 0045 0046 0040Median 0054 0041 0046 0053 0053 00463st quartile 0064 0056 0056 0064 0063 0057Mark-up (L) National banksAverage 0057 0052 0054 0057 0057 0054std-dev 0034 0038 0038 0035 0035 00371st quartile 0041 0030 0033 0040 0041 0035Median 0050 0038 0043 0048 0049 00443st quartile 0061 0061 0060 0061 0062 0060Mark-up (L) Foreign banksAverage 0061 0050 0053 0059 0060 0054std-dev 0034 0033 0032 0034 0034 00321st quartile 0042 0031 0034 0041 0042 0036Median 0052 0040 0044 0051 0051 00453st quartile 0068 0059 0060 0066 0066 0061

Table 4 Estimates of returns to scale by control type and general

ModelState-owned

banksNational

banksForeignbanks

General std-dev Min Max

1 0944 0824 0842 0848 0073 0665 11242 0940 0829 0843 0851 0066 0690 10733 0938 0827 0842 0849 0066 0689 10764 0941 0824 0842 0848 0071 0671 11115 0942 0824 0841 0848 0072 0669 11136 0937 0829 0844 0850 0065 0692 1073

39

Appendix A Attachment Tables

Table A5 Cumulative change on Prudential Measures intensity

TimeCapitalBuffer 2

(cb)

CapitalReq(cr)

Loan-to-Value(ltv)

Reserve Reqlocal curr

(RR local)

Reserve Reqforeign cur

(RR foreign)

CumulativePrudential 3

(Cum Prud)2000q2 -1 0 0 0 -2 -32000q4 -1 0 0 0 -2 -32001q2 -1 0 0 0 -2 -32001q4 0 0 0 0 -1 -12002q2 0 0 0 0 0 02002q4 2 0 0 0 2 42003q2 0 0 0 0 3 32003q4 0 0 0 0 2 22004q2 0 0 0 0 2 22004q4 0 0 0 0 2 22005q2 0 0 0 0 2 22005q4 0 0 0 0 2 22006q2 0 0 0 0 2 22006q4 0 0 0 0 2 22007q2 2 0 0 0 2 42007q4 2 0 0 0 2 42008q2 2 0 0 0 2 42008q4 2 0 0 0 1 32009q2 2 0 0 0 0 22009q4 2 0 0 0 -1 12010q2 2 0 0 0 1 32010q4 3 0 0 0 3 62011q2 3 0 0 1 3 72011q4 4 0 0 2 3 92012q2 3 1 0 2 3 92012q4 3 1 0 1 2 72013q2 3 2 0 0 2 72013q4 3 2 1 0 2 82014q2 3 2 1 0 2 82014q4 2 2 1 0 3 82Sum of capital buffer and others 3Aggregate measure (It is the sum of the change of all other instrument)

40

Table A6 Estimates of Lerner index and return to scale by bank - Model (1)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0042 0082 0009 0940 0007 -85Banrisul S 0055 0041 0084 0009 0952 0008 -635BEC S 0048 0021 0077 0016 0844 0009 -1756BRB S 0058 0033 0100 0015 0961 0003 -1533BB S 0058 0039 0098 0012 0990 0006 -173Caixa Economica Federal S 0063 0051 0174 0022 1052 0004 1458B da Amazonia SA S 0057 0016 0124 0023 0844 0008 -2028B do Estado Do Para SA S 0061 0026 0110 0022 0936 0004 -1764B do Est do Maranhao SA S 0055 0046 0065 0006 0935 0014 -455B do Est do Piauı SA - Bep S 0057 0030 0155 0029 0862 0004 -326B do Estado De Sergipe SA S 0061 0024 0135 0022 0947 0004 -1453Nossa Caixa - N Banco SA S 0057 0036 0090 0013 0981 0004 -444Bradesco N 0056 0038 0114 0015 0925 0004 -1945Itau N 0059 0031 0220 0033 0901 0003 -3797Safra N 0053 0037 0085 0009 0885 0003 -4215Unibanco N 0055 0037 0088 0014 0897 0001 -7054Mercantil Do Brasil N 0057 0027 0077 0011 0945 0002 -2527BBM N 0076 0016 0300 0065 0783 0005 -4464BMC N 0052 0030 0079 0012 0845 0003 -4703BMG N 0065 0017 0208 0045 0779 0003 -729JMalucelli N 0047 0022 0069 0013 0718 0003 -8765PEBB N 0065 0017 0181 0047 0698 0008 -3914SS N 0057 0034 0220 0037 0799 0007 -2839Sofisa N 0054 0021 0092 0020 0804 0002 -9903BIC N 0060 0034 0236 0040 0855 0005 -276Schahin N 0056 0028 0214 0035 0835 0006 -262Stock N 0081 0020 0267 0067 0817 0006 -3107Pine N 0052 0022 0108 0019 0808 0004 -545Socopa N 0056 0027 0120 0017 0886 0003 -3806Intercap N 0060 0023 0212 0037 0812 0007 -2851Indusval N 0062 0030 0246 0043 0857 0005 -3139Bonsucesso N 0052 0020 0092 0018 0779 0005 -4033Industrial do Brasil N 0051 0031 0081 0016 0807 0002 -952Votorantim N 0052 0037 0107 0017 0819 0009 -2117Cacique N 0053 0024 0071 0014 0774 0005 -4621Inter Amex N 0055 0037 0068 0010 0837 0008 -2158Alfa N 0048 0041 0059 0005 0806 0002 -11303Rendimento N 0053 0022 0080 0012 0872 0008 -1562Bancoob N 0052 0046 0056 0003 0856 0003 -5061Original N 0085 0017 0279 0090 0729 0007 -4163Banco Intermedium SA N 0052 0028 0070 0015 0743 0006 -3973

Table A6 ndash Continue on next page

41

Table A6 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0225 0049 0761 0003 -7509Banco BBN SA N 0053 0027 0077 0014 0817 0012 -1509B Cooperativo Sicredi SA N 0052 0043 0062 0005 0875 0005 -2477B Cooperativo do Brasil SA N 0056 0046 0142 0020 0910 0006 -1479Banco Topazio SA N 0060 0035 0110 0027 0834 0006 -2966Banco Gerador SA N 0069 0045 0122 0028 0852 0008 -1968Banco Randon SA N 0109 0023 0320 0109 0783 0005 -4158Parana Banco SA N 0050 0026 0108 0020 0784 0008 -2799Banco Triangulo SA N 0055 0028 0091 0020 0833 0004 -4201Banco Guanabara SA N 0052 0024 0169 0025 0777 0004 -5588Banco Cedula SA N 0068 0012 0339 0061 0731 0003 -10236Banco Cacique SA N 0077 0028 0248 0077 0785 0016 -1309B Luso Brasileiro SA N 0065 0027 0208 0043 0849 0004 -349Banco Pecunia SA N 0047 0039 0060 0006 0770 0003 -7086Banco Zogbi SA N 0051 0038 0067 0011 0778 0001 -15193Banco Daycoval SA N 0054 0023 0131 0026 0783 0004 -5522B John Deere SA N 0059 0018 0133 0033 0756 0003 -7955Banco AJ Renner SA N 0053 0025 0081 0015 0827 0006 -2742ABN Amro F 0056 0039 0079 0014 0914 0002 -427Chase F 0068 0014 0228 0049 0790 0008 -2678LLoyds F 0053 0027 0064 0012 0825 0003 -5159BankBoston F 0057 0040 0099 0020 0902 0006 -1638Santander Brasil F 0057 0034 0097 0017 0890 0008 -146Citibank F 0059 0026 0153 0028 0875 0003 -4039BNL F 0055 0041 0097 0019 0840 0006 -2767Sudameris F 0056 0048 0065 0005 0966 0012 -297Societe Generale F 0060 0024 0153 0031 0826 0006 -299Europeu F 0054 0032 0073 0013 0848 0007 -2287ABC-Brasil F 0052 0025 0082 0014 0815 0003 -6207Dresdner F 0083 0017 0280 0074 0815 0006 -3234AGF Braseg F 0051 0031 0100 0016 0794 0004 -4923HSBC F 0057 0046 0092 0010 0971 0006 -466Deutsche F 0068 0013 0160 0036 0857 0004 -3335BNP Paribas F 0050 0037 0068 0007 0824 0005 -3665Barclays F 0052 0024 0089 0021 0771 0008 -2787Rabobank Int Brasil SA F 0058 0022 0166 0028 0842 0003 -5284B Nat de Paris Br SA F 0063 0023 0109 0033 0811 0006 -3331Ibibank SA - Banco Multiplo F 0059 0012 0106 0024 0781 0015 -1441Dresdner Bank - B Multiplo F 0086 0016 0244 0068 0768 0008 -2746Banco Westlb Do Brasil SA F 0064 0034 0108 0027 0839 0010 -1626Banco GE Capital SA F 0067 0032 0247 0047 0852 0010 -1527B Com Uruguai SA F 0072 0020 0192 0049 0830 0003 -52281S - State-owned bank N - National bank and F - Foreign bank

42

Table A7 Estimates of Lerner index and return to scale by bank - Model (2)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0049 0032 0085 0016 0944 0008 -716Banrisul S 0049 0032 0106 0017 0939 0008 -75BEC S 0032 0016 0046 0008 0860 0009 -1489BRB S 0049 0030 0112 0017 0961 0002 -1681BB S 0049 0032 0091 0016 0948 0006 -845Caixa Economica Federal S 0052 0034 0081 0014 1012 0003 382B da Amazonia SA S 0053 0015 0140 0028 0847 0008 -1922B do Estado Do Para SA S 0046 0029 0063 0009 0952 0005 -963B do Est do Maranhao SA S 0036 0029 0045 0005 0963 0016 -235B do Est do Piauı SA - Bep S 0036 0023 0071 0011 0888 0005 -2314B do Estado De Sergipe SA S 0050 0020 0155 0024 0962 0004 -1043Nossa Caixa - N Banco SA S 0039 0027 0074 0011 0972 0005 -601Bradesco N 0050 0028 0116 0023 0890 0004 -2618Itau N 0052 0024 0222 0037 0869 0003 -4269Safra N 0046 0028 0100 0017 0867 0003 -5042Unibanco N 0035 0028 0054 0007 0873 0001 -8511Mercantil Do Brasil N 0051 0029 0093 0019 0941 0002 -2837BBM N 0063 0012 0213 0048 0790 0005 -4494BMC N 0034 0023 0049 0007 0851 0003 -4266BMG N 0065 0015 0233 0057 0776 0004 -6135JMalucelli N 0052 0018 0080 0016 0720 0003 -9566PEBB N 0037 0014 0108 0025 0732 0009 -3086SS N 0056 0024 0236 0046 0797 0007 -2849Sofisa N 0052 0018 0107 0028 0808 0002 -8115BIC N 0057 0026 0259 0050 0850 0006 -2531Schahin N 0047 0022 0225 0041 0845 0007 -2359Stock N 0078 0017 0287 0071 0843 0006 -2782Pine N 0048 0018 0114 0023 0811 0004 -4973Socopa N 0050 0022 0136 0024 0908 0003 -3089Intercap N 0051 0019 0133 0031 0832 0006 -2759Indusval N 0061 0023 0267 0052 0866 0006 -2437Bonsucesso N 0050 0017 0109 0026 0791 0006 -3655Industrial do Brasil N 0044 0024 0079 0015 0816 0002 -8095Votorantim N 0048 0025 0120 0026 0807 0007 -2721Cacique N 0033 0020 0039 0006 0782 0005 -4597Inter Amex N 0035 0025 0045 0007 0844 0006 -2419Alfa N 0042 0029 0069 0013 0801 0002 -12139Rendimento N 0049 0019 0077 0015 0889 0008 -1394Bancoob N 0065 0057 0073 0006 0855 0003 -4199Original N 0099 0019 0299 0096 0732 0006 -4473Banco Intermedium SA N 0062 0032 0081 0019 0754 0006 -4393

Table A7 ndash Continue on next page

43

Table A7 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0059 0016 0239 0051 0778 0003 -6944Banco BBN SA N 0035 0020 0053 0009 0834 0011 -1466B Cooperativo Sicredi SA N 0045 0032 0070 0011 0881 0005 -2581B Cooperativo do Brasil SA N 0045 0029 0147 0025 0922 0006 -1274Banco Topazio SA N 0076 0043 0138 0038 0861 0005 -2569Banco Gerador SA N 0089 0054 0153 0037 0874 0008 -1645Banco Randon SA N 0122 0029 0335 0113 0803 0005 -388Parana Banco SA N 0033 0020 0062 0011 0800 0009 -234Banco Triangulo SA N 0052 0022 0105 0027 0841 0004 -4148Banco Guanabara SA N 0046 0019 0091 0020 0793 0004 -5561Banco Cedula SA N 0062 0011 0359 0067 0749 0003 -9911Banco Cacique SA N 0049 0020 0157 0048 0791 0016 -1315Banco Luso Brasileiro SA N 0066 0022 0241 0055 0870 0005 -2851Banco Pecunia SA N 0032 0027 0036 0003 0787 0003 -6876Banco Zogbi SA N 0032 0026 0037 0005 0784 0002 -13006Banco Daycoval SA N 0053 0019 0139 0036 0784 0004 -6065Banco John Deere SA N 0035 0016 0073 0016 0761 0003 -8278Banco AJ Renner SA N 0047 0021 0083 0015 0844 0006 -2553ABN Amro F 0035 0027 0047 0006 0889 0002 -7231Chase F 0054 0013 0157 0033 0804 0007 -2702LLoyds F 0033 0020 0043 0008 0821 0003 -5429BankBoston F 0036 0026 0060 0011 0888 0006 -1917Santander Brasil F 0055 0025 0115 0030 0864 0008 -1647Citibank F 0051 0020 0132 0025 0860 0003 -4735BNL F 0036 0026 0062 0012 0843 0005 -2959Sudameris F 0036 0031 0040 0004 0949 0011 -468Societe Generale F 0051 0018 0104 0024 0835 0007 -2454Europeu F 0034 0025 0041 0006 0859 0007 -2076ABC-Brasil F 0043 0026 0086 0015 0813 0003 -5797Dresdner F 0050 0014 0190 0046 0824 0004 -3975AGF Braseg F 0044 0024 0068 0014 0810 0005 -4109HSBC F 0052 0031 0110 0021 0948 0007 -776Deutsche F 0054 0012 0166 0030 0866 0005 -2754BNP Paribas F 0049 0028 0073 0013 0818 0004 -4092Barclays F 0065 0028 0121 0027 0811 0005 -4028Rabobank Int Brasil SA F 0047 0017 0102 0017 0845 0003 -4605B Nat de Paris Brasil SA F 0036 0017 0054 0013 0819 0005 -3304Ibibank SA - Banco Multiplo F 0043 0010 0114 0025 0782 0013 -1623Dresdner Bank - B Multiplo F 0096 0015 0270 0076 0785 0007 -2924Banco Westlb Do Brasil SA F 0041 0026 0062 0013 0853 0010 -154Banco GE Capital SA F 0054 0026 0253 0049 0862 0010 -1444B Com Uruguai SA F 0070 0017 0220 0058 0849 0003 -4471S - State-owned bank N - National bank and F - Foreign bank

44

Table A8 Estimates of Lerner index and return to scale by bank - Model (3)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0034 0090 0016 0941 0008 -772Banrisul S 0051 0032 0108 0016 0938 0008 -772BEC S 0035 0018 0051 0009 0856 0009 -1562BRB S 0052 0032 0122 0018 0958 0002 -1793BB S 0052 0035 0085 0015 0951 0006 -809Caixa Economica Federal S 0054 0039 0098 0014 1015 0003 465B da Amazonia SA S 0053 0014 0113 0024 0845 0008 -1977B do Estado Do Para SA S 0049 0028 0071 0010 0947 0005 -1117B do E do Maranhao SA S 0041 0032 0059 0008 0957 0015 -285B do E do Piauı SA - Bep S 0041 0028 0086 0014 0882 0005 -2518B do Estado De Sergipe SA S 0052 0021 0145 0022 0957 0004 -1182Nossa Caixa - N Banco SA S 0045 0029 0081 0015 0971 0005 -651Bradesco N 0052 0029 0101 0021 0893 0004 -2614Itau N 0054 0025 0203 0034 0872 0003 -4328Safra N 0048 0029 0093 0015 0869 0003 -5008Unibanco N 0041 0028 0067 0010 0874 0001 -8514Mercantil Do Brasil N 0053 0026 0095 0018 0939 0002 -29BBM N 0067 0013 0250 0056 0789 0005 -4501BMC N 0038 0024 0069 0010 0849 0003 -4408BMG N 0067 0015 0233 0058 0776 0004 -6374JMalucelli N 0052 0022 0087 0016 0720 0003 -9426PEBB N 0045 0014 0158 0040 0727 0009 -3192SS N 0057 0025 0231 0046 0797 0007 -287Sofisa N 0053 0018 0116 0026 0807 0002 -8444BIC N 0059 0030 0250 0049 0850 0006 -2596Schahin N 0048 0023 0220 0038 0842 0007 -2424Stock N 0083 0017 0304 0077 0838 0006 -2873Pine N 0049 0019 0105 0020 0810 0004 -5103Socopa N 0050 0026 0111 0018 0903 0003 -3253Intercap N 0055 0020 0196 0036 0828 0006 -283Indusval N 0062 0029 0282 0052 0863 0005 -2588Bonsucesso N 0051 0017 0118 0025 0789 0006 -3771Industrial do Brasil N 0046 0025 0086 0015 0815 0002 -8341Votorantim N 0050 0027 0128 0027 0809 0007 -2664Cacique N 0037 0020 0048 0009 0781 0005 -4645Inter Amex N 0039 0026 0058 0009 0842 0006 -2468Alfa N 0044 0031 0072 0011 0801 0002 -11998Rendimento N 0049 0022 0078 0011 0885 0008 -1463Bancoob N 0066 0057 0077 0007 0854 0003 -4342Original N 0102 0019 0301 0096 0730 0006 -4526Banco Intermedium SA N 0059 0027 0083 0020 0752 0006 -4354

Table A8 ndash Continue on next page

45

Table A8 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0017 0217 0054 0776 0003 -7084Banco BBN SA N 0038 0022 0058 0010 0831 0011 -1492B Cooperativo Sicredi SA N 0047 0035 0071 0010 0879 0005 -259B Cooperativo do Brasil SA N 0046 0035 0128 0020 0919 0006 -1339Banco Topazio SA N 0075 0036 0153 0041 0855 0005 -2657Banco Gerador SA N 0091 0057 0144 0034 0869 0008 -173Banco Randon SA N 0124 0029 0332 0112 0799 0005 -4023Parana Banco SA N 0036 0021 0071 0012 0797 0008 -2452Banco Triangulo SA N 0053 0023 0115 0027 0839 0004 -4256Banco Guanabara SA N 0047 0020 0100 0019 0790 0004 -561Banco Cedula SA N 0066 0012 0362 0068 0747 0003 -10082Banco Cacique SA N 0063 0026 0231 0074 0789 0016 -1336Banco Luso Brasileiro SA N 0066 0026 0249 0053 0865 0005 -2985Banco Pecunia SA N 0034 0029 0041 0004 0784 0003 -7038Banco Zogbi SA N 0036 0027 0046 0006 0782 0002 -13399Banco Daycoval SA N 0054 0019 0131 0034 0784 0004 -607Banco John Deere SA N 0039 0015 0083 0018 0761 0003 -8316Banco AJ Renner SA N 0049 0024 0073 0013 0840 0006 -2621ABN Amro F 0041 0030 0066 0009 0890 0002 -6866Chase F 0059 0013 0173 0039 0801 0007 -2733LLoyds F 0038 0021 0055 0010 0821 0003 -5484BankBoston F 0040 0028 0063 0012 0888 0006 -1931Santander Brasil F 0056 0028 0107 0027 0866 0008 -1663Citibank F 0052 0022 0123 0023 0860 0003 -4735BNL F 0039 0028 0063 0014 0841 0005 -2966Sudameris F 0041 0036 0052 0006 0948 0011 -473Societe Generale F 0052 0020 0103 0022 0833 0006 -2579Europeu F 0038 0030 0049 0007 0856 0007 -2153ABC-Brasil F 0046 0029 0079 0014 0813 0003 -5935Dresdner F 0055 0014 0212 0052 0822 0005 -3913AGF Braseg F 0046 0027 0071 0014 0806 0005 -4276HSBC F 0053 0032 0101 0019 0949 0007 -784Deutsche F 0058 0013 0141 0029 0863 0005 -2878BNP Paribas F 0051 0030 0074 0012 0818 0004 -4118Barclays F 0066 0025 0130 0030 0805 0005 -4123Rabobank Int Brasil SA F 0049 0019 0109 0018 0844 0003 -4752B Nat de Paris Brasil SA F 0041 0019 0069 0018 0817 0005 -3368Ibibank SA - Banco Multiplo F 0046 0010 0095 0021 0781 0014 -1617Dresdner Bank - B Multiplo F 0093 0017 0282 0072 0782 0008 -2899Banco Westlb Do Brasil SA F 0044 0027 0069 0015 0850 0009 -1591Banco GE Capital SA F 0055 0026 0249 0046 0859 0009 -1489B Com Uruguai SA F 0071 0017 0228 0056 0845 0003 -46241S - State-owned bank N - National bank and F - Foreign bank

46

Table A9 Estimates of Lerner index and return to scale by bank - Model (4)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0054 0041 0078 0011 0939 0007 -873Banrisul S 0055 0040 0106 0014 0948 0008 -692BEC S 0046 0020 0072 0014 0846 0009 -1746BRB S 0057 0032 0094 0016 0959 0002 -1673BB S 0057 0038 0095 0014 0981 0006 -33Caixa Economica Federal S 0061 0049 0165 0021 1042 0003 1249B da Amazonia SA S 0056 0015 0117 0022 0844 0008 -2047B do Estado Do Para SA S 0059 0025 0103 0020 0936 0004 -1701B do E Do Maranhao SA S 0052 0044 0062 0005 0936 0014 -448B do E Do Piauı SA - Bep S 0054 0029 0147 0028 0865 0004 -3201B do Estado De Sergipe SA S 0061 0023 0168 0026 0947 0004 -1484Nossa Caixa - N Banco SA S 0054 0035 0085 0012 0977 0004 -547Bradesco N 0056 0036 0107 0017 0919 0004 -2123Itau N 0058 0030 0212 0032 0896 0003 -3979Safra N 0052 0035 0107 0013 0882 0003 -445Unibanco N 0052 0035 0082 0013 0892 0001 -7446Mercantil Do Brasil N 0057 0027 0093 0015 0942 0002 -2687BBM N 0075 0015 0294 0064 0784 0005 -4512BMC N 0050 0029 0074 0011 0846 0003 -472BMG N 0065 0016 0202 0047 0779 0003 -7192JMalucelli N 0048 0022 0071 0014 0720 0003 -8923PEBB N 0061 0016 0172 0044 0704 0008 -382SS N 0056 0033 0213 0037 0799 0007 -2875Sofisa N 0053 0020 0087 0019 0805 0002 -9731BIC N 0061 0033 0269 0048 0854 0005 -2768Schahin N 0053 0027 0205 0034 0836 0006 -2627Stock N 0081 0020 0265 0068 0820 0006 -3122Pine N 0052 0022 0118 0021 0808 0004 -5467Socopa N 0054 0026 0114 0016 0888 0003 -3785Intercap N 0057 0023 0203 0035 0815 0006 -2877Indusval N 0062 0029 0239 0043 0857 0005 -3085Bonsucesso N 0052 0019 0088 0018 0782 0005 -403Industrial do Brasil N 0050 0030 0076 0015 0809 0002 -9427Votorantim N 0051 0036 0102 0017 0817 0008 -2222Cacique N 0050 0023 0067 0013 0776 0005 -4659Inter Amex N 0052 0035 0064 0009 0837 0007 -2226Alfa N 0048 0039 0071 0007 0805 0002 -11484Rendimento N 0052 0022 0076 0013 0874 0008 -1571Bancoob N 0057 0045 0071 0011 0855 0003 -5022Original N 0094 0017 0278 0090 0730 0006 -4242Banco Intermedium SA N 0049 0027 0065 0014 0746 0006 -4054

Table A9 ndash Continue on next page

47

Table A9 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0019 0220 0050 0764 0003 -7516Banco BBN SA N 0050 0027 0072 0013 0819 0012 -1529B Cooperativo Sicredi SA N 0051 0041 0068 0006 0875 0005 -2551B Cooperativo do Brasil SA N 0053 0044 0134 0018 0910 0006 -151Banco Topazio SA N 0066 0035 0128 0036 0837 0005 -2981Banco Gerador SA N 0082 0045 0157 0043 0854 0007 -1967Banco Randon SA N 0106 0026 0312 0105 0786 0005 -4204Parana Banco SA N 0048 0025 0102 0018 0787 0008 -2768Banco Triangulo SA N 0054 0027 0088 0021 0834 0004 -427Banco Guanabara SA N 0051 0023 0161 0025 0780 0004 -5659Banco Cedula SA N 0069 0012 0360 0065 0735 0003 -1028Banco Cacique SA N 0073 0027 0240 0075 0786 0016 -1327Banco Luso Brasileiro SA N 0065 0026 0242 0047 0852 0004 -346Banco Pecunia SA N 0045 0037 0056 0006 0773 0003 -7139Banco Zogbi SA N 0048 0036 0064 0010 0779 0001 -15057Banco Daycoval SA N 0055 0022 0126 0030 0784 0004 -568Banco John Deere SA N 0056 0018 0125 0031 0757 0003 -8084Banco AJ Renner SA N 0051 0025 0077 0013 0829 0006 -2763ABN Amro F 0053 0038 0074 0013 0909 0002 -4803Chase F 0066 0014 0220 0046 0793 0008 -2711LLoyds F 0050 0026 0060 0011 0825 0003 -5323BankBoston F 0054 0038 0092 0018 0899 0006 -1734Santander Brasil F 0056 0033 0098 0019 0885 0007 -1529Citibank F 0059 0025 0145 0030 0872 0003 -421BNL F 0052 0039 0091 0018 0840 0006 -2854Sudameris F 0053 0046 0062 0005 0961 0011 -352Societe Generale F 0058 0023 0144 0028 0827 0006 -2968Europeu F 0052 0031 0069 0012 0849 0007 -23ABC-Brasil F 0051 0028 0091 0015 0815 0003 -6225Dresdner F 0078 0017 0271 0071 0816 0005 -339AGF Braseg F 0050 0030 0094 0015 0797 0004 -4873HSBC F 0057 0045 0116 0016 0966 0006 -562Deutsche F 0066 0013 0151 0034 0858 0004 -3316BNP Paribas F 0050 0036 0071 0010 0823 0005 -3772Barclays F 0057 0024 0102 0025 0777 0007 -3003Rabobank Int Brasil SA F 0057 0021 0157 0026 0842 0003 -5266B Nat de Paris Brasil SA F 0059 0023 0102 0030 0812 0006 -3387Ibibank SA - Banco Multiplo F 0056 0012 0100 0023 0781 0015 -148Dresdner Bank - B Multiplo F 0084 0016 0237 0064 0771 0008 -2798Banco Westlb Do Brasil SA F 0061 0033 0101 0025 0841 0010 -1646Banco GE Capital SA F 0063 0031 0238 0044 0853 0010 -1548B Com Uruguai SA F 0074 0020 0226 0056 0833 0003 -51921S - State-owned bank N - National bank and F - Foreign bank

48

Table A10 Estimates of Lerner index and return to scale by bank - Model (5)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0043 0093 0012 0940 0007 -834Banrisul S 0054 0041 0083 0009 0949 0008 -668BEC S 0046 0020 0075 0014 0846 0009 -1719BRB S 0058 0032 0121 0017 0960 0002 -1607BB S 0056 0037 0087 0010 0981 0006 -321Caixa Economica Federal S 0061 0050 0156 0019 1044 0003 1282B da Amazonia SA S 0057 0016 0115 0023 0843 0008 -2023B do Estado Do Para SA S 0059 0027 0102 0020 0938 0004 -1608B do E Do Maranhao SA S 0052 0042 0064 0006 0939 0015 -418B do E Do Piauı SA - Bep S 0054 0029 0138 0025 0866 0004 -3097B do Estado De Sergipe SA S 0059 0024 0136 0020 0949 0004 -1404Nossa Caixa - N Banco SA S 0055 0036 0088 0013 0979 0004 -494Bradesco N 0056 0037 0108 0016 0918 0004 -2108Itau N 0058 0031 0213 0033 0894 0003 -3968Safra N 0052 0036 0086 0010 0881 0003 -4388Unibanco N 0053 0037 0085 0013 0892 0001 -7433Mercantil Do Brasil N 0057 0027 0086 0012 0943 0002 -2619BBM N 0075 0015 0292 0063 0784 0005 -447BMC N 0050 0029 0077 0012 0846 0003 -4648BMG N 0067 0017 0220 0051 0777 0003 -7116JMalucelli N 0049 0022 0083 0016 0718 0003 -8879PEBB N 0060 0017 0176 0044 0704 0008 -3743SS N 0059 0032 0223 0041 0798 0007 -2847Sofisa N 0055 0021 0112 0022 0804 0002 -9624BIC N 0060 0032 0238 0041 0853 0005 -2725Schahin N 0055 0028 0228 0038 0836 0006 -2575Stock N 0082 0019 0267 0068 0821 0006 -3063Pine N 0052 0022 0096 0018 0808 0004 -5392Socopa N 0055 0027 0113 0016 0889 0003 -3694Intercap N 0060 0023 0210 0037 0814 0006 -2856Indusval N 0062 0029 0245 0044 0857 0005 -3023Bonsucesso N 0053 0020 0113 0022 0781 0005 -3999Industrial do Brasil N 0051 0030 0084 0016 0808 0002 -9274Votorantim N 0052 0037 0130 0022 0816 0008 -2227Cacique N 0049 0024 0065 0012 0775 0005 -4632Inter Amex N 0052 0034 0067 0011 0837 0007 -2236Alfa N 0047 0041 0056 0004 0804 0002 -11448Rendimento N 0053 0022 0079 0011 0874 0008 -1549Bancoob N 0056 0050 0064 0005 0856 0003 -4874Original N 0087 0018 0288 0093 0728 0006 -4259Banco Intermedium SA N 0055 0027 0078 0019 0744 0006 -4047

Table A10 ndash Continue on next page

49

Table A10 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0217 0048 0763 0003 -7417Banco BBN SA N 0051 0026 0075 0014 0820 0012 -1504B Cooperativo Sicredi SA N 0051 0040 0061 0005 0876 0005 -2499B Cooperativo do Brasil SA N 0054 0043 0136 0019 0912 0006 -1445Banco Topazio SA N 0061 0034 0109 0026 0838 0006 -2897Banco Gerador SA N 0073 0052 0124 0026 0855 0008 -1918Banco Randon SA N 0120 0024 0327 0114 0785 0005 -4153Parana Banco SA N 0048 0026 0106 0020 0786 0008 -2732Banco Triangulo SA N 0055 0027 0111 0022 0834 0004 -4227Banco Guanabara SA N 0052 0024 0153 0024 0779 0004 -5589Banco Cedula SA N 0069 0012 0339 0062 0734 0003 -10232Banco Cacique SA N 0076 0027 0246 0076 0785 0016 -1317Banco Luso Brasileiro SA N 0067 0027 0207 0047 0852 0004 -3379Banco Pecunia SA N 0046 0038 0054 0006 0773 0003 -71Banco Zogbi SA N 0047 0037 0061 0010 0778 0001 -14931Banco Daycoval SA N 0054 0022 0126 0026 0782 0004 -5661Banco John Deere SA N 0056 0018 0129 0031 0756 0003 -8043Banco AJ Renner SA N 0053 0025 0080 0015 0829 0006 -2716ABN Amro F 0053 0038 0074 0012 0908 0002 -4751Chase F 0067 0014 0225 0047 0792 0008 -2693LLoyds F 0049 0025 0064 0012 0824 0003 -5227BankBoston F 0054 0037 0096 0020 0899 0006 -1701Santander Brasil F 0057 0033 0103 0019 0884 0008 -1511Citibank F 0059 0026 0154 0028 0871 0003 -4204BNL F 0052 0037 0097 0020 0840 0006 -28Sudameris F 0052 0045 0058 0005 0962 0011 -334Societe Generale F 0060 0023 0151 0031 0827 0006 -2924Europeu F 0050 0032 0066 0012 0849 0007 -2263ABC-Brasil F 0051 0025 0079 0014 0814 0003 -617Dresdner F 0080 0017 0276 0073 0816 0005 -3374AGF Braseg F 0050 0031 0093 0015 0796 0004 -4812HSBC F 0057 0043 0093 0011 0966 0006 -541Deutsche F 0066 0013 0155 0035 0858 0004 -3244BNP Paribas F 0050 0035 0067 0008 0822 0005 -3775Barclays F 0056 0024 0113 0025 0778 0007 -305Rabobank Int Brasil SA F 0057 0021 0163 0027 0842 0003 -5208B Nat de Paris Brasil SA F 0058 0022 0100 0029 0812 0006 -3343Ibibank SA - Banco Multiplo F 0057 0012 0099 0023 0780 0015 -1478Dresdner Bank - B Multiplo F 0087 0016 0244 0068 0770 0008 -2768Banco Westlb Do Brasil SA F 0063 0034 0106 0026 0841 0010 -1625Banco GE Capital SA F 0064 0032 0247 0046 0853 0010 -1522B Com Uruguai SA F 0073 0019 0191 0049 0833 0003 -50981S - State-owned bank N - National bank and F - Foreign bank

50

Table A11 Estimates of Lerner index and return to scale by bank - Model (6)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0036 0096 0015 0939 0007 -855Banrisul S 0050 0035 0098 0014 0938 0008 -82BEC S 0041 0019 0067 0012 0855 0009 -1644BRB S 0053 0029 0124 0018 0956 0002 -1996BB S 0051 0032 0088 0013 0954 0006 -807Caixa Economica Federal S 0054 0040 0094 0012 1014 0003 475B da Amazonia SA S 0053 0015 0103 0022 0846 0008 -205B do Estado Do Para SA S 0051 0028 0074 0013 0943 0004 -1319B do E Do Maranhao SA S 0041 0031 0059 0008 0950 0014 -346B do E Do Piauı SA - Bep S 0042 0028 0084 0012 0879 0004 -2727B do Estado De Sergipe SA S 0052 0022 0153 0022 0953 0003 -1377Nossa Caixa - N Banco SA S 0047 0032 0081 0014 0969 0004 -74Bradesco N 0052 0032 0097 0019 0898 0004 -2645Itau N 0054 0027 0190 0031 0877 0003 -4452Safra N 0049 0032 0100 0015 0872 0003 -5056Unibanco N 0043 0032 0067 0010 0878 0001 -8666Mercantil Do Brasil N 0053 0026 0087 0017 0938 0002 -3104BBM N 0066 0013 0251 0056 0792 0005 -4556BMC N 0041 0026 0069 0011 0850 0003 -4582BMG N 0067 0016 0228 0057 0781 0003 -6611JMalucelli N 0051 0022 0089 0017 0725 0003 -9344PEBB N 0046 0015 0157 0039 0728 0008 -3313SS N 0058 0025 0230 0046 0801 0007 -292Sofisa N 0053 0020 0119 0025 0809 0002 -8846BIC N 0060 0029 0262 0049 0852 0005 -2697Schahin N 0049 0025 0229 0040 0843 0006 -2523Stock N 0081 0017 0284 0072 0836 0005 -2986Pine N 0049 0021 0112 0019 0812 0004 -5267Socopa N 0050 0026 0095 0015 0900 0003 -3515Intercap N 0055 0021 0196 0035 0828 0006 -2899Indusval N 0061 0029 0262 0049 0863 0005 -2762Bonsucesso N 0052 0019 0123 0026 0791 0005 -3885Industrial do Brasil N 0046 0027 0088 0015 0816 0002 -8698Votorantim N 0051 0027 0139 0027 0813 0007 -262Cacique N 0039 0022 0050 0009 0784 0005 -4707Inter Amex N 0045 0027 0064 0012 0843 0006 -2493Alfa N 0044 0033 0068 0009 0805 0002 -12111Rendimento N 0050 0022 0073 0010 0883 0008 -1543Bancoob N 0066 0055 0072 0007 0856 0003 -4559Original N 0098 0020 0294 0094 0735 0006 -4509Banco Intermedium SA N 0057 0024 0085 0022 0756 0006 -4324

Table A11 ndash Continue on next page

51

Table A11 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0061 0017 0195 0048 0777 0003 -7233Banco BBN SA N 0042 0023 0059 0012 0831 0011 -1529B Cooperativo Sicredi SA N 0048 0035 0066 0009 0879 0005 -2672B Cooperativo do Brasil SA N 0046 0034 0119 0017 0917 0006 -1439Banco Topazio SA N 0070 0031 0129 0036 0853 0005 -2776Banco Gerador SA N 0086 0057 0148 0034 0867 0007 -1825Banco Randon SA N 0126 0028 0331 0114 0799 0005 -4136Parana Banco SA N 0039 0023 0082 0015 0798 0008 -2556Banco Triangulo SA N 0052 0025 0116 0025 0840 0004 -4363Banco Guanabara SA N 0048 0021 0100 0019 0792 0004 -5683Banco Cedula SA N 0067 0013 0356 0067 0749 0002 -10205Banco Cacique SA N 0067 0026 0232 0073 0792 0015 -1356Banco Luso Brasileiro SA N 0065 0025 0237 0052 0864 0004 -3163Banco Pecunia SA N 0037 0029 0045 0006 0786 0003 -7158Banco Zogbi SA N 0037 0027 0045 0007 0785 0002 -13921Banco Daycoval SA N 0053 0020 0120 0031 0787 0003 -6088Banco John Deere SA N 0043 0017 0099 0022 0764 0003 -8346Banco AJ Renner SA N 0050 0025 0080 0013 0840 0006 -2706ABN Amro F 0043 0035 0067 0008 0894 0002 -6685Chase F 0059 0014 0189 0040 0803 0007 -2772LLoyds F 0039 0021 0055 0012 0824 0003 -5536BankBoston F 0044 0029 0075 0015 0890 0006 -1965Santander Brasil F 0054 0028 0107 0024 0871 0008 -1694Citibank F 0054 0023 0133 0026 0863 0003 -4787BNL F 0042 0028 0078 0018 0843 0005 -2998Sudameris F 0041 0036 0052 0006 0948 0010 -491Societe Generale F 0054 0020 0118 0025 0834 0006 -2716Europeu F 0038 0029 0049 0008 0856 0006 -2239ABC-Brasil F 0046 0028 0084 0014 0816 0003 -6111Dresdner F 0063 0015 0239 0061 0823 0005 -3888AGF Braseg F 0047 0027 0074 0014 0807 0004 -4477HSBC F 0054 0032 0109 0018 0950 0006 -823Deutsche F 0058 0013 0122 0028 0863 0004 -305BNP Paribas F 0051 0032 0070 0011 0822 0004 -4145Barclays F 0064 0024 0128 0029 0802 0005 -4051Rabobank Int Brasil SA F 0051 0019 0130 0021 0846 0003 -4992B Nat de Paris Brasil SA F 0043 0019 0070 0019 0819 0005 -3429Ibibank SA - Banco Multiplo F 0049 0010 0083 0020 0785 0013 -161Dresdner Bank - B Multiplo F 0087 0016 0261 0066 0783 0007 -2901Banco Westlb Do Brasil SA F 0051 0030 0082 0019 0850 0009 -1643Banco GE Capital SA F 0053 0028 0239 0044 0859 0009 -1544B Com Uruguai SA F 0071 0017 0217 0054 0845 0003 -48451S - State-owned bank N - National bank and F - Foreign bank

52

Seacuterie de Textos para Discussatildeo do Curso de Ciecircncias Econocircmicas ndash FACEUFG ndash TD [078]

EDITORIAL FACE ndash Faculdade de Administraccedilatildeo Ciecircncias Contaacutebeis e Ciecircncias Econocircmicas Curso de Ciecircncias Econocircmicas Direccedilatildeo FACE Prof Moiseacutes Ferreira da Cunha Vice-Direccedilatildeo FACE Profordf Andreacutea Freire de Lucena Coordenaccedilatildeo do Curso de Ciecircncias Econocircmicas Prof Tiago Camarinha Lopes NEPEC ndash Nuacutecleo de Estudos e Pesquisas Econocircmicas Coordenaccedilatildeo Prof Seacutergio Fornazier Meyrelles Filho SEacuteRIE DE TEXTOS PARA DISCUSSAtildeO DO CURSO DE CIEcircNCIAS ECONOcircMICAS DA UFG Coordenaccedilatildeo e Equipe de Editoraccedilatildeo Prof Sandro Eduardo Monsueto Adriana Moura Guimaratildees Matheus Henrique de Arauacutejo Dutra

Endereccedilo Campus Samambaia Preacutedio da FACE ndash Rodovia GoiacircniaNova Veneza km 0 ndash CEP 74690-900 Goiacircnia ndash GO Tel (62) 3521 ndash 1390 URL httpwwwfaceufgbreconomia Publicaccedilatildeo cujo objetivo eacute divulgar resultados de estudos que contam com a participaccedilatildeo de pesquisadores do NEPEC As opiniotildees contidas nesta publicaccedilatildeo satildeo de inteira responsabilidade do(s) autor(es) natildeo representando necessariamente o ponto de vista do NEPEC ou da FACEUFG Eacute permitida a reproduccedilatildeo desde que citada a fonte

Page 31: 1(3(& )$&( 8)* · The Dark Side of Prudential MeasuresI Paulo R. Scalco a, Benjamin M. Tabak1, Anderson M. Teixeira aFaculty of Management, Accounting and Economics, Federal University

power in the food industries Journal of Agricultural Economics 69 3ndash17 URL https

onlinelibrarywileycomdoiabs1011111477-955212219 doi1011111477-955212219

arXivhttpsonlinelibrarywileycomdoipdf1011111477-955212219

Lucinda C R (2010) Competition in the Brazilian loan market an empirical analysis Estudos Economicos

(Sao Paulo) 40 831ndash858 URL httpwwwscielobrscielophpscript=sci_abstractamppid=

S0101-41612010000400004amplng=enampnrm=isoamptlng=en doi101590S0101-41612010000400004

Moreno R (2011) Policymaking from arsquomacroprudentialrsquoperspective in emerging market economies

Nakane M I (2002) A test of competition in brazilian banking Estudos Economicos (Sao Paulo) 32

203ndash224 URL httpwwwrevistasuspbreearticleview117799

Panzar J C amp Rosse J N (1987) Testing for rdquomonopolyrdquo equilibrium The Journal of Industrial

Economics 35 443ndash456 URL httpwwwjstororgstable2098582 doi1023072098582

Richter B Schularick M amp Shim I (2019) The costs of macroprudential policy Journal of Inter-

national Economics 118 263 ndash 282 URL httpwwwsciencedirectcomsciencearticlepii

S0022199618302617 doihttpsdoiorg101016jjinteco201811011

Schmalensee R (1989) Chapter 16 inter-industry studies of structure and performance In Hand-

book of Industrial Organization (pp 951ndash1009) Elsevier BV URL httpdxdoiorg101016

s1573-448x(89)02004-2 doi101016s1573-448x(89)02004-2

Silva M S d () Avaliacao do processo de concentracao-competicao no setor bancario brasileiro URL

httpwwwbcbgovbrpecwpsporttd377pdf

Tabak B amp Gomes G (2015) The impact of market power at bank level in risk-taking The brazilian

case International Review of Financial Analysis 40 154ndash165

Tabak B M Fazio D M amp Cajueiro D O (2012) The relationship between banking market competition

and risk-taking Do size and capitalization matter 36 3366ndash3381 URL httpwwwsciencedirect

comsciencearticlepiiS0378426612002026 doi101016jjbankfin201207022

Wong T Fong T Li K-f amp Choi H (2011) Loan-to-value ratio as a macroprudential tool-hong kongrsquos

experience and cross-country evidence

Zhang L amp Zoli E (2016) Leaning against the wind Macroprudential policy in asia Journal of Asian

Economics 42 33ndash52

29

Figure 1 Evolution of the Herfindahl Index (HHI) over time using credit and total assets for theBrazilian banking system

30

Figure 2 Marginal effects of HHI and prudential instruments (Capital Buffer Capital RequirementLTV Reserve Requirement (Foreign) Reserve Requirement (domestic) and cumulative prud) on the

mark-up u component

31

Figure 3 Frequency distribution of Lerner indexes for each model and density estimation Kernel by typeof control

32

Figure 4 Lerner indexes according to the size (market share) of banksrsquo assets

33

Figure 5 Average Lerner indices for each model between 2000q2 and 2014q4

34

Figure 6 Average Lerner indices estimated for public private national and private foreign banks between2000q2 and 2014q4

35

Figure 7 Frequency distribution of the returns to scale indexes for each model and density estimationKernel by type of control

36

Table 1 Variables used to IDF estimatation

Variabel Description SourceBasic variables

TR Total Revenue = Gross Insterest Income (a) + Bank-ing Service Fee Income (d1) + Banking Fee Income(d2) + Other Operating Income (d7)

Inc statIFData

TC Total Cost = Interest Expenses (b) + Personnel Ex-penses (d3) + Administrative Expenses (d4) + TaxExpenses (d5) + Other Operating Expenses (d8)

Inc statIFData

Y Loan Lease and Other Credit Operations by RiskLevel

SummaryIFData

x1 Personnel Expenses (d3) Inc statIFDatax2 Funding (e) LiabilitiesIFDatax3 Equity (j) LiabilitiesIFData

Model variabelslnRC Log of Revenue-Cost ratiolnY Log of total loanlnx1 Log of personnel expenses and equity ratio (x1x3)lnx2 Log of funding and equity ratio (x2x3)T Time

Prudential variables - Deterministic mark-up parametersHHIt HHIt =

sumS2it where Sit

2 is market share of totalasset of bank i on time t

Inc statIFData

cb cumulative change of capital buffer Cerutti et al (2016)cr cumulative change of capital requirement Cerutti et al (2016)ltv cumulative change of loan-to-value Cerutti et al (2016)

rr foreign cumulative change of reserve requirement (foreigncurrency)

Cerutti et al (2016)

rr local cumulative change of reserve requirement (domesticcurrency)

Cerutti et al (2016)

37

Table 2 Results of IDF estimation

Parameters VariablesEstimates

Model Model Model Model Model Model(1) (2) (3) (4) (5) (6)

Parametros da funcao insumo distanciaαY Y lnY -0013 -0003 -0004 -0012 -0011 -0005

(000) (000) (000) (000) (000) (000)α1Y lnx1 -0096 -0095 -0094 -0094 -0096 -0090

(001) (001) (001) (001) (001) (001)α2Y lnx2 -0019 -0022 -0022 -0019 -0020 -0021

(001) (001) (001) (001) (001) (001)αY T T -0000 -0000 -0000 -0000 -0000 -0000

(000) (000) (000) (000) (000) (000)αY const 1153 1010 1035 1134 1129 1057

(005) (007) (005) (005) (005) (006)

Deterministic Mark-up parametersδ1 HHI 764157

(12270)δ1 Capital

Buffer7586(065)

δ2 CapitalReq

4696(160)

δ1 Loan-to-value38511(671)

δ1 ResR(foreign)10730(433)

δ2 ResR(local)2869(126)

δ1 Cum Prud3237(020)

δ0 const minus10601minus10194minus5306 minus9866 minus8577 minus4993(032) (2064) (316) (079) (119) (122)

Distribution of u and vσ2u 2840 1418 1620 2643 2441 1593σ2v 0118 0121 0120 0118 0118 0120λ 2402 1172 1354 2233 2065 1325Log Lik 887404 922033 918606 896019 891991 907817

EstimatesEstimates of Mark-up (u)Avg 0075 0065 0068 0074 0075 00691st quartile 0052 0038 0051 0051 0051 0044Median 0062 0048 0060 0060 0061 00543st quartile 0080 0074 0079 0079 0079 0075std-dev 0053 0054 0053 0053 0054 0054

Note p lt 010 p lt 005 and p lt 001

38

Table 3 Estimates of Lerner index general and by type of control

EstimatesModel Model Model Model Model Model

(1) (2) (3) (4) (5) (6)Mark-up (L) generalAverage 0058 0051 0053 0057 0058 0053std-dev 0032 0034 0034 0032 0032 00331st quartile 0043 0031 0034 0041 0042 0036Median 0051 0039 0044 0050 0050 00453st quartile 0063 0060 0059 0063 0063 0060Mark-up (L) State-owned banksAverage 0057 0047 0049 0056 0056 0050std-dev 0018 0017 0017 0018 0016 00161st quartile 0047 0035 0038 0045 0046 0040Median 0054 0041 0046 0053 0053 00463st quartile 0064 0056 0056 0064 0063 0057Mark-up (L) National banksAverage 0057 0052 0054 0057 0057 0054std-dev 0034 0038 0038 0035 0035 00371st quartile 0041 0030 0033 0040 0041 0035Median 0050 0038 0043 0048 0049 00443st quartile 0061 0061 0060 0061 0062 0060Mark-up (L) Foreign banksAverage 0061 0050 0053 0059 0060 0054std-dev 0034 0033 0032 0034 0034 00321st quartile 0042 0031 0034 0041 0042 0036Median 0052 0040 0044 0051 0051 00453st quartile 0068 0059 0060 0066 0066 0061

Table 4 Estimates of returns to scale by control type and general

ModelState-owned

banksNational

banksForeignbanks

General std-dev Min Max

1 0944 0824 0842 0848 0073 0665 11242 0940 0829 0843 0851 0066 0690 10733 0938 0827 0842 0849 0066 0689 10764 0941 0824 0842 0848 0071 0671 11115 0942 0824 0841 0848 0072 0669 11136 0937 0829 0844 0850 0065 0692 1073

39

Appendix A Attachment Tables

Table A5 Cumulative change on Prudential Measures intensity

TimeCapitalBuffer 2

(cb)

CapitalReq(cr)

Loan-to-Value(ltv)

Reserve Reqlocal curr

(RR local)

Reserve Reqforeign cur

(RR foreign)

CumulativePrudential 3

(Cum Prud)2000q2 -1 0 0 0 -2 -32000q4 -1 0 0 0 -2 -32001q2 -1 0 0 0 -2 -32001q4 0 0 0 0 -1 -12002q2 0 0 0 0 0 02002q4 2 0 0 0 2 42003q2 0 0 0 0 3 32003q4 0 0 0 0 2 22004q2 0 0 0 0 2 22004q4 0 0 0 0 2 22005q2 0 0 0 0 2 22005q4 0 0 0 0 2 22006q2 0 0 0 0 2 22006q4 0 0 0 0 2 22007q2 2 0 0 0 2 42007q4 2 0 0 0 2 42008q2 2 0 0 0 2 42008q4 2 0 0 0 1 32009q2 2 0 0 0 0 22009q4 2 0 0 0 -1 12010q2 2 0 0 0 1 32010q4 3 0 0 0 3 62011q2 3 0 0 1 3 72011q4 4 0 0 2 3 92012q2 3 1 0 2 3 92012q4 3 1 0 1 2 72013q2 3 2 0 0 2 72013q4 3 2 1 0 2 82014q2 3 2 1 0 2 82014q4 2 2 1 0 3 82Sum of capital buffer and others 3Aggregate measure (It is the sum of the change of all other instrument)

40

Table A6 Estimates of Lerner index and return to scale by bank - Model (1)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0042 0082 0009 0940 0007 -85Banrisul S 0055 0041 0084 0009 0952 0008 -635BEC S 0048 0021 0077 0016 0844 0009 -1756BRB S 0058 0033 0100 0015 0961 0003 -1533BB S 0058 0039 0098 0012 0990 0006 -173Caixa Economica Federal S 0063 0051 0174 0022 1052 0004 1458B da Amazonia SA S 0057 0016 0124 0023 0844 0008 -2028B do Estado Do Para SA S 0061 0026 0110 0022 0936 0004 -1764B do Est do Maranhao SA S 0055 0046 0065 0006 0935 0014 -455B do Est do Piauı SA - Bep S 0057 0030 0155 0029 0862 0004 -326B do Estado De Sergipe SA S 0061 0024 0135 0022 0947 0004 -1453Nossa Caixa - N Banco SA S 0057 0036 0090 0013 0981 0004 -444Bradesco N 0056 0038 0114 0015 0925 0004 -1945Itau N 0059 0031 0220 0033 0901 0003 -3797Safra N 0053 0037 0085 0009 0885 0003 -4215Unibanco N 0055 0037 0088 0014 0897 0001 -7054Mercantil Do Brasil N 0057 0027 0077 0011 0945 0002 -2527BBM N 0076 0016 0300 0065 0783 0005 -4464BMC N 0052 0030 0079 0012 0845 0003 -4703BMG N 0065 0017 0208 0045 0779 0003 -729JMalucelli N 0047 0022 0069 0013 0718 0003 -8765PEBB N 0065 0017 0181 0047 0698 0008 -3914SS N 0057 0034 0220 0037 0799 0007 -2839Sofisa N 0054 0021 0092 0020 0804 0002 -9903BIC N 0060 0034 0236 0040 0855 0005 -276Schahin N 0056 0028 0214 0035 0835 0006 -262Stock N 0081 0020 0267 0067 0817 0006 -3107Pine N 0052 0022 0108 0019 0808 0004 -545Socopa N 0056 0027 0120 0017 0886 0003 -3806Intercap N 0060 0023 0212 0037 0812 0007 -2851Indusval N 0062 0030 0246 0043 0857 0005 -3139Bonsucesso N 0052 0020 0092 0018 0779 0005 -4033Industrial do Brasil N 0051 0031 0081 0016 0807 0002 -952Votorantim N 0052 0037 0107 0017 0819 0009 -2117Cacique N 0053 0024 0071 0014 0774 0005 -4621Inter Amex N 0055 0037 0068 0010 0837 0008 -2158Alfa N 0048 0041 0059 0005 0806 0002 -11303Rendimento N 0053 0022 0080 0012 0872 0008 -1562Bancoob N 0052 0046 0056 0003 0856 0003 -5061Original N 0085 0017 0279 0090 0729 0007 -4163Banco Intermedium SA N 0052 0028 0070 0015 0743 0006 -3973

Table A6 ndash Continue on next page

41

Table A6 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0225 0049 0761 0003 -7509Banco BBN SA N 0053 0027 0077 0014 0817 0012 -1509B Cooperativo Sicredi SA N 0052 0043 0062 0005 0875 0005 -2477B Cooperativo do Brasil SA N 0056 0046 0142 0020 0910 0006 -1479Banco Topazio SA N 0060 0035 0110 0027 0834 0006 -2966Banco Gerador SA N 0069 0045 0122 0028 0852 0008 -1968Banco Randon SA N 0109 0023 0320 0109 0783 0005 -4158Parana Banco SA N 0050 0026 0108 0020 0784 0008 -2799Banco Triangulo SA N 0055 0028 0091 0020 0833 0004 -4201Banco Guanabara SA N 0052 0024 0169 0025 0777 0004 -5588Banco Cedula SA N 0068 0012 0339 0061 0731 0003 -10236Banco Cacique SA N 0077 0028 0248 0077 0785 0016 -1309B Luso Brasileiro SA N 0065 0027 0208 0043 0849 0004 -349Banco Pecunia SA N 0047 0039 0060 0006 0770 0003 -7086Banco Zogbi SA N 0051 0038 0067 0011 0778 0001 -15193Banco Daycoval SA N 0054 0023 0131 0026 0783 0004 -5522B John Deere SA N 0059 0018 0133 0033 0756 0003 -7955Banco AJ Renner SA N 0053 0025 0081 0015 0827 0006 -2742ABN Amro F 0056 0039 0079 0014 0914 0002 -427Chase F 0068 0014 0228 0049 0790 0008 -2678LLoyds F 0053 0027 0064 0012 0825 0003 -5159BankBoston F 0057 0040 0099 0020 0902 0006 -1638Santander Brasil F 0057 0034 0097 0017 0890 0008 -146Citibank F 0059 0026 0153 0028 0875 0003 -4039BNL F 0055 0041 0097 0019 0840 0006 -2767Sudameris F 0056 0048 0065 0005 0966 0012 -297Societe Generale F 0060 0024 0153 0031 0826 0006 -299Europeu F 0054 0032 0073 0013 0848 0007 -2287ABC-Brasil F 0052 0025 0082 0014 0815 0003 -6207Dresdner F 0083 0017 0280 0074 0815 0006 -3234AGF Braseg F 0051 0031 0100 0016 0794 0004 -4923HSBC F 0057 0046 0092 0010 0971 0006 -466Deutsche F 0068 0013 0160 0036 0857 0004 -3335BNP Paribas F 0050 0037 0068 0007 0824 0005 -3665Barclays F 0052 0024 0089 0021 0771 0008 -2787Rabobank Int Brasil SA F 0058 0022 0166 0028 0842 0003 -5284B Nat de Paris Br SA F 0063 0023 0109 0033 0811 0006 -3331Ibibank SA - Banco Multiplo F 0059 0012 0106 0024 0781 0015 -1441Dresdner Bank - B Multiplo F 0086 0016 0244 0068 0768 0008 -2746Banco Westlb Do Brasil SA F 0064 0034 0108 0027 0839 0010 -1626Banco GE Capital SA F 0067 0032 0247 0047 0852 0010 -1527B Com Uruguai SA F 0072 0020 0192 0049 0830 0003 -52281S - State-owned bank N - National bank and F - Foreign bank

42

Table A7 Estimates of Lerner index and return to scale by bank - Model (2)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0049 0032 0085 0016 0944 0008 -716Banrisul S 0049 0032 0106 0017 0939 0008 -75BEC S 0032 0016 0046 0008 0860 0009 -1489BRB S 0049 0030 0112 0017 0961 0002 -1681BB S 0049 0032 0091 0016 0948 0006 -845Caixa Economica Federal S 0052 0034 0081 0014 1012 0003 382B da Amazonia SA S 0053 0015 0140 0028 0847 0008 -1922B do Estado Do Para SA S 0046 0029 0063 0009 0952 0005 -963B do Est do Maranhao SA S 0036 0029 0045 0005 0963 0016 -235B do Est do Piauı SA - Bep S 0036 0023 0071 0011 0888 0005 -2314B do Estado De Sergipe SA S 0050 0020 0155 0024 0962 0004 -1043Nossa Caixa - N Banco SA S 0039 0027 0074 0011 0972 0005 -601Bradesco N 0050 0028 0116 0023 0890 0004 -2618Itau N 0052 0024 0222 0037 0869 0003 -4269Safra N 0046 0028 0100 0017 0867 0003 -5042Unibanco N 0035 0028 0054 0007 0873 0001 -8511Mercantil Do Brasil N 0051 0029 0093 0019 0941 0002 -2837BBM N 0063 0012 0213 0048 0790 0005 -4494BMC N 0034 0023 0049 0007 0851 0003 -4266BMG N 0065 0015 0233 0057 0776 0004 -6135JMalucelli N 0052 0018 0080 0016 0720 0003 -9566PEBB N 0037 0014 0108 0025 0732 0009 -3086SS N 0056 0024 0236 0046 0797 0007 -2849Sofisa N 0052 0018 0107 0028 0808 0002 -8115BIC N 0057 0026 0259 0050 0850 0006 -2531Schahin N 0047 0022 0225 0041 0845 0007 -2359Stock N 0078 0017 0287 0071 0843 0006 -2782Pine N 0048 0018 0114 0023 0811 0004 -4973Socopa N 0050 0022 0136 0024 0908 0003 -3089Intercap N 0051 0019 0133 0031 0832 0006 -2759Indusval N 0061 0023 0267 0052 0866 0006 -2437Bonsucesso N 0050 0017 0109 0026 0791 0006 -3655Industrial do Brasil N 0044 0024 0079 0015 0816 0002 -8095Votorantim N 0048 0025 0120 0026 0807 0007 -2721Cacique N 0033 0020 0039 0006 0782 0005 -4597Inter Amex N 0035 0025 0045 0007 0844 0006 -2419Alfa N 0042 0029 0069 0013 0801 0002 -12139Rendimento N 0049 0019 0077 0015 0889 0008 -1394Bancoob N 0065 0057 0073 0006 0855 0003 -4199Original N 0099 0019 0299 0096 0732 0006 -4473Banco Intermedium SA N 0062 0032 0081 0019 0754 0006 -4393

Table A7 ndash Continue on next page

43

Table A7 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0059 0016 0239 0051 0778 0003 -6944Banco BBN SA N 0035 0020 0053 0009 0834 0011 -1466B Cooperativo Sicredi SA N 0045 0032 0070 0011 0881 0005 -2581B Cooperativo do Brasil SA N 0045 0029 0147 0025 0922 0006 -1274Banco Topazio SA N 0076 0043 0138 0038 0861 0005 -2569Banco Gerador SA N 0089 0054 0153 0037 0874 0008 -1645Banco Randon SA N 0122 0029 0335 0113 0803 0005 -388Parana Banco SA N 0033 0020 0062 0011 0800 0009 -234Banco Triangulo SA N 0052 0022 0105 0027 0841 0004 -4148Banco Guanabara SA N 0046 0019 0091 0020 0793 0004 -5561Banco Cedula SA N 0062 0011 0359 0067 0749 0003 -9911Banco Cacique SA N 0049 0020 0157 0048 0791 0016 -1315Banco Luso Brasileiro SA N 0066 0022 0241 0055 0870 0005 -2851Banco Pecunia SA N 0032 0027 0036 0003 0787 0003 -6876Banco Zogbi SA N 0032 0026 0037 0005 0784 0002 -13006Banco Daycoval SA N 0053 0019 0139 0036 0784 0004 -6065Banco John Deere SA N 0035 0016 0073 0016 0761 0003 -8278Banco AJ Renner SA N 0047 0021 0083 0015 0844 0006 -2553ABN Amro F 0035 0027 0047 0006 0889 0002 -7231Chase F 0054 0013 0157 0033 0804 0007 -2702LLoyds F 0033 0020 0043 0008 0821 0003 -5429BankBoston F 0036 0026 0060 0011 0888 0006 -1917Santander Brasil F 0055 0025 0115 0030 0864 0008 -1647Citibank F 0051 0020 0132 0025 0860 0003 -4735BNL F 0036 0026 0062 0012 0843 0005 -2959Sudameris F 0036 0031 0040 0004 0949 0011 -468Societe Generale F 0051 0018 0104 0024 0835 0007 -2454Europeu F 0034 0025 0041 0006 0859 0007 -2076ABC-Brasil F 0043 0026 0086 0015 0813 0003 -5797Dresdner F 0050 0014 0190 0046 0824 0004 -3975AGF Braseg F 0044 0024 0068 0014 0810 0005 -4109HSBC F 0052 0031 0110 0021 0948 0007 -776Deutsche F 0054 0012 0166 0030 0866 0005 -2754BNP Paribas F 0049 0028 0073 0013 0818 0004 -4092Barclays F 0065 0028 0121 0027 0811 0005 -4028Rabobank Int Brasil SA F 0047 0017 0102 0017 0845 0003 -4605B Nat de Paris Brasil SA F 0036 0017 0054 0013 0819 0005 -3304Ibibank SA - Banco Multiplo F 0043 0010 0114 0025 0782 0013 -1623Dresdner Bank - B Multiplo F 0096 0015 0270 0076 0785 0007 -2924Banco Westlb Do Brasil SA F 0041 0026 0062 0013 0853 0010 -154Banco GE Capital SA F 0054 0026 0253 0049 0862 0010 -1444B Com Uruguai SA F 0070 0017 0220 0058 0849 0003 -4471S - State-owned bank N - National bank and F - Foreign bank

44

Table A8 Estimates of Lerner index and return to scale by bank - Model (3)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0034 0090 0016 0941 0008 -772Banrisul S 0051 0032 0108 0016 0938 0008 -772BEC S 0035 0018 0051 0009 0856 0009 -1562BRB S 0052 0032 0122 0018 0958 0002 -1793BB S 0052 0035 0085 0015 0951 0006 -809Caixa Economica Federal S 0054 0039 0098 0014 1015 0003 465B da Amazonia SA S 0053 0014 0113 0024 0845 0008 -1977B do Estado Do Para SA S 0049 0028 0071 0010 0947 0005 -1117B do E do Maranhao SA S 0041 0032 0059 0008 0957 0015 -285B do E do Piauı SA - Bep S 0041 0028 0086 0014 0882 0005 -2518B do Estado De Sergipe SA S 0052 0021 0145 0022 0957 0004 -1182Nossa Caixa - N Banco SA S 0045 0029 0081 0015 0971 0005 -651Bradesco N 0052 0029 0101 0021 0893 0004 -2614Itau N 0054 0025 0203 0034 0872 0003 -4328Safra N 0048 0029 0093 0015 0869 0003 -5008Unibanco N 0041 0028 0067 0010 0874 0001 -8514Mercantil Do Brasil N 0053 0026 0095 0018 0939 0002 -29BBM N 0067 0013 0250 0056 0789 0005 -4501BMC N 0038 0024 0069 0010 0849 0003 -4408BMG N 0067 0015 0233 0058 0776 0004 -6374JMalucelli N 0052 0022 0087 0016 0720 0003 -9426PEBB N 0045 0014 0158 0040 0727 0009 -3192SS N 0057 0025 0231 0046 0797 0007 -287Sofisa N 0053 0018 0116 0026 0807 0002 -8444BIC N 0059 0030 0250 0049 0850 0006 -2596Schahin N 0048 0023 0220 0038 0842 0007 -2424Stock N 0083 0017 0304 0077 0838 0006 -2873Pine N 0049 0019 0105 0020 0810 0004 -5103Socopa N 0050 0026 0111 0018 0903 0003 -3253Intercap N 0055 0020 0196 0036 0828 0006 -283Indusval N 0062 0029 0282 0052 0863 0005 -2588Bonsucesso N 0051 0017 0118 0025 0789 0006 -3771Industrial do Brasil N 0046 0025 0086 0015 0815 0002 -8341Votorantim N 0050 0027 0128 0027 0809 0007 -2664Cacique N 0037 0020 0048 0009 0781 0005 -4645Inter Amex N 0039 0026 0058 0009 0842 0006 -2468Alfa N 0044 0031 0072 0011 0801 0002 -11998Rendimento N 0049 0022 0078 0011 0885 0008 -1463Bancoob N 0066 0057 0077 0007 0854 0003 -4342Original N 0102 0019 0301 0096 0730 0006 -4526Banco Intermedium SA N 0059 0027 0083 0020 0752 0006 -4354

Table A8 ndash Continue on next page

45

Table A8 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0017 0217 0054 0776 0003 -7084Banco BBN SA N 0038 0022 0058 0010 0831 0011 -1492B Cooperativo Sicredi SA N 0047 0035 0071 0010 0879 0005 -259B Cooperativo do Brasil SA N 0046 0035 0128 0020 0919 0006 -1339Banco Topazio SA N 0075 0036 0153 0041 0855 0005 -2657Banco Gerador SA N 0091 0057 0144 0034 0869 0008 -173Banco Randon SA N 0124 0029 0332 0112 0799 0005 -4023Parana Banco SA N 0036 0021 0071 0012 0797 0008 -2452Banco Triangulo SA N 0053 0023 0115 0027 0839 0004 -4256Banco Guanabara SA N 0047 0020 0100 0019 0790 0004 -561Banco Cedula SA N 0066 0012 0362 0068 0747 0003 -10082Banco Cacique SA N 0063 0026 0231 0074 0789 0016 -1336Banco Luso Brasileiro SA N 0066 0026 0249 0053 0865 0005 -2985Banco Pecunia SA N 0034 0029 0041 0004 0784 0003 -7038Banco Zogbi SA N 0036 0027 0046 0006 0782 0002 -13399Banco Daycoval SA N 0054 0019 0131 0034 0784 0004 -607Banco John Deere SA N 0039 0015 0083 0018 0761 0003 -8316Banco AJ Renner SA N 0049 0024 0073 0013 0840 0006 -2621ABN Amro F 0041 0030 0066 0009 0890 0002 -6866Chase F 0059 0013 0173 0039 0801 0007 -2733LLoyds F 0038 0021 0055 0010 0821 0003 -5484BankBoston F 0040 0028 0063 0012 0888 0006 -1931Santander Brasil F 0056 0028 0107 0027 0866 0008 -1663Citibank F 0052 0022 0123 0023 0860 0003 -4735BNL F 0039 0028 0063 0014 0841 0005 -2966Sudameris F 0041 0036 0052 0006 0948 0011 -473Societe Generale F 0052 0020 0103 0022 0833 0006 -2579Europeu F 0038 0030 0049 0007 0856 0007 -2153ABC-Brasil F 0046 0029 0079 0014 0813 0003 -5935Dresdner F 0055 0014 0212 0052 0822 0005 -3913AGF Braseg F 0046 0027 0071 0014 0806 0005 -4276HSBC F 0053 0032 0101 0019 0949 0007 -784Deutsche F 0058 0013 0141 0029 0863 0005 -2878BNP Paribas F 0051 0030 0074 0012 0818 0004 -4118Barclays F 0066 0025 0130 0030 0805 0005 -4123Rabobank Int Brasil SA F 0049 0019 0109 0018 0844 0003 -4752B Nat de Paris Brasil SA F 0041 0019 0069 0018 0817 0005 -3368Ibibank SA - Banco Multiplo F 0046 0010 0095 0021 0781 0014 -1617Dresdner Bank - B Multiplo F 0093 0017 0282 0072 0782 0008 -2899Banco Westlb Do Brasil SA F 0044 0027 0069 0015 0850 0009 -1591Banco GE Capital SA F 0055 0026 0249 0046 0859 0009 -1489B Com Uruguai SA F 0071 0017 0228 0056 0845 0003 -46241S - State-owned bank N - National bank and F - Foreign bank

46

Table A9 Estimates of Lerner index and return to scale by bank - Model (4)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0054 0041 0078 0011 0939 0007 -873Banrisul S 0055 0040 0106 0014 0948 0008 -692BEC S 0046 0020 0072 0014 0846 0009 -1746BRB S 0057 0032 0094 0016 0959 0002 -1673BB S 0057 0038 0095 0014 0981 0006 -33Caixa Economica Federal S 0061 0049 0165 0021 1042 0003 1249B da Amazonia SA S 0056 0015 0117 0022 0844 0008 -2047B do Estado Do Para SA S 0059 0025 0103 0020 0936 0004 -1701B do E Do Maranhao SA S 0052 0044 0062 0005 0936 0014 -448B do E Do Piauı SA - Bep S 0054 0029 0147 0028 0865 0004 -3201B do Estado De Sergipe SA S 0061 0023 0168 0026 0947 0004 -1484Nossa Caixa - N Banco SA S 0054 0035 0085 0012 0977 0004 -547Bradesco N 0056 0036 0107 0017 0919 0004 -2123Itau N 0058 0030 0212 0032 0896 0003 -3979Safra N 0052 0035 0107 0013 0882 0003 -445Unibanco N 0052 0035 0082 0013 0892 0001 -7446Mercantil Do Brasil N 0057 0027 0093 0015 0942 0002 -2687BBM N 0075 0015 0294 0064 0784 0005 -4512BMC N 0050 0029 0074 0011 0846 0003 -472BMG N 0065 0016 0202 0047 0779 0003 -7192JMalucelli N 0048 0022 0071 0014 0720 0003 -8923PEBB N 0061 0016 0172 0044 0704 0008 -382SS N 0056 0033 0213 0037 0799 0007 -2875Sofisa N 0053 0020 0087 0019 0805 0002 -9731BIC N 0061 0033 0269 0048 0854 0005 -2768Schahin N 0053 0027 0205 0034 0836 0006 -2627Stock N 0081 0020 0265 0068 0820 0006 -3122Pine N 0052 0022 0118 0021 0808 0004 -5467Socopa N 0054 0026 0114 0016 0888 0003 -3785Intercap N 0057 0023 0203 0035 0815 0006 -2877Indusval N 0062 0029 0239 0043 0857 0005 -3085Bonsucesso N 0052 0019 0088 0018 0782 0005 -403Industrial do Brasil N 0050 0030 0076 0015 0809 0002 -9427Votorantim N 0051 0036 0102 0017 0817 0008 -2222Cacique N 0050 0023 0067 0013 0776 0005 -4659Inter Amex N 0052 0035 0064 0009 0837 0007 -2226Alfa N 0048 0039 0071 0007 0805 0002 -11484Rendimento N 0052 0022 0076 0013 0874 0008 -1571Bancoob N 0057 0045 0071 0011 0855 0003 -5022Original N 0094 0017 0278 0090 0730 0006 -4242Banco Intermedium SA N 0049 0027 0065 0014 0746 0006 -4054

Table A9 ndash Continue on next page

47

Table A9 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0019 0220 0050 0764 0003 -7516Banco BBN SA N 0050 0027 0072 0013 0819 0012 -1529B Cooperativo Sicredi SA N 0051 0041 0068 0006 0875 0005 -2551B Cooperativo do Brasil SA N 0053 0044 0134 0018 0910 0006 -151Banco Topazio SA N 0066 0035 0128 0036 0837 0005 -2981Banco Gerador SA N 0082 0045 0157 0043 0854 0007 -1967Banco Randon SA N 0106 0026 0312 0105 0786 0005 -4204Parana Banco SA N 0048 0025 0102 0018 0787 0008 -2768Banco Triangulo SA N 0054 0027 0088 0021 0834 0004 -427Banco Guanabara SA N 0051 0023 0161 0025 0780 0004 -5659Banco Cedula SA N 0069 0012 0360 0065 0735 0003 -1028Banco Cacique SA N 0073 0027 0240 0075 0786 0016 -1327Banco Luso Brasileiro SA N 0065 0026 0242 0047 0852 0004 -346Banco Pecunia SA N 0045 0037 0056 0006 0773 0003 -7139Banco Zogbi SA N 0048 0036 0064 0010 0779 0001 -15057Banco Daycoval SA N 0055 0022 0126 0030 0784 0004 -568Banco John Deere SA N 0056 0018 0125 0031 0757 0003 -8084Banco AJ Renner SA N 0051 0025 0077 0013 0829 0006 -2763ABN Amro F 0053 0038 0074 0013 0909 0002 -4803Chase F 0066 0014 0220 0046 0793 0008 -2711LLoyds F 0050 0026 0060 0011 0825 0003 -5323BankBoston F 0054 0038 0092 0018 0899 0006 -1734Santander Brasil F 0056 0033 0098 0019 0885 0007 -1529Citibank F 0059 0025 0145 0030 0872 0003 -421BNL F 0052 0039 0091 0018 0840 0006 -2854Sudameris F 0053 0046 0062 0005 0961 0011 -352Societe Generale F 0058 0023 0144 0028 0827 0006 -2968Europeu F 0052 0031 0069 0012 0849 0007 -23ABC-Brasil F 0051 0028 0091 0015 0815 0003 -6225Dresdner F 0078 0017 0271 0071 0816 0005 -339AGF Braseg F 0050 0030 0094 0015 0797 0004 -4873HSBC F 0057 0045 0116 0016 0966 0006 -562Deutsche F 0066 0013 0151 0034 0858 0004 -3316BNP Paribas F 0050 0036 0071 0010 0823 0005 -3772Barclays F 0057 0024 0102 0025 0777 0007 -3003Rabobank Int Brasil SA F 0057 0021 0157 0026 0842 0003 -5266B Nat de Paris Brasil SA F 0059 0023 0102 0030 0812 0006 -3387Ibibank SA - Banco Multiplo F 0056 0012 0100 0023 0781 0015 -148Dresdner Bank - B Multiplo F 0084 0016 0237 0064 0771 0008 -2798Banco Westlb Do Brasil SA F 0061 0033 0101 0025 0841 0010 -1646Banco GE Capital SA F 0063 0031 0238 0044 0853 0010 -1548B Com Uruguai SA F 0074 0020 0226 0056 0833 0003 -51921S - State-owned bank N - National bank and F - Foreign bank

48

Table A10 Estimates of Lerner index and return to scale by bank - Model (5)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0043 0093 0012 0940 0007 -834Banrisul S 0054 0041 0083 0009 0949 0008 -668BEC S 0046 0020 0075 0014 0846 0009 -1719BRB S 0058 0032 0121 0017 0960 0002 -1607BB S 0056 0037 0087 0010 0981 0006 -321Caixa Economica Federal S 0061 0050 0156 0019 1044 0003 1282B da Amazonia SA S 0057 0016 0115 0023 0843 0008 -2023B do Estado Do Para SA S 0059 0027 0102 0020 0938 0004 -1608B do E Do Maranhao SA S 0052 0042 0064 0006 0939 0015 -418B do E Do Piauı SA - Bep S 0054 0029 0138 0025 0866 0004 -3097B do Estado De Sergipe SA S 0059 0024 0136 0020 0949 0004 -1404Nossa Caixa - N Banco SA S 0055 0036 0088 0013 0979 0004 -494Bradesco N 0056 0037 0108 0016 0918 0004 -2108Itau N 0058 0031 0213 0033 0894 0003 -3968Safra N 0052 0036 0086 0010 0881 0003 -4388Unibanco N 0053 0037 0085 0013 0892 0001 -7433Mercantil Do Brasil N 0057 0027 0086 0012 0943 0002 -2619BBM N 0075 0015 0292 0063 0784 0005 -447BMC N 0050 0029 0077 0012 0846 0003 -4648BMG N 0067 0017 0220 0051 0777 0003 -7116JMalucelli N 0049 0022 0083 0016 0718 0003 -8879PEBB N 0060 0017 0176 0044 0704 0008 -3743SS N 0059 0032 0223 0041 0798 0007 -2847Sofisa N 0055 0021 0112 0022 0804 0002 -9624BIC N 0060 0032 0238 0041 0853 0005 -2725Schahin N 0055 0028 0228 0038 0836 0006 -2575Stock N 0082 0019 0267 0068 0821 0006 -3063Pine N 0052 0022 0096 0018 0808 0004 -5392Socopa N 0055 0027 0113 0016 0889 0003 -3694Intercap N 0060 0023 0210 0037 0814 0006 -2856Indusval N 0062 0029 0245 0044 0857 0005 -3023Bonsucesso N 0053 0020 0113 0022 0781 0005 -3999Industrial do Brasil N 0051 0030 0084 0016 0808 0002 -9274Votorantim N 0052 0037 0130 0022 0816 0008 -2227Cacique N 0049 0024 0065 0012 0775 0005 -4632Inter Amex N 0052 0034 0067 0011 0837 0007 -2236Alfa N 0047 0041 0056 0004 0804 0002 -11448Rendimento N 0053 0022 0079 0011 0874 0008 -1549Bancoob N 0056 0050 0064 0005 0856 0003 -4874Original N 0087 0018 0288 0093 0728 0006 -4259Banco Intermedium SA N 0055 0027 0078 0019 0744 0006 -4047

Table A10 ndash Continue on next page

49

Table A10 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0217 0048 0763 0003 -7417Banco BBN SA N 0051 0026 0075 0014 0820 0012 -1504B Cooperativo Sicredi SA N 0051 0040 0061 0005 0876 0005 -2499B Cooperativo do Brasil SA N 0054 0043 0136 0019 0912 0006 -1445Banco Topazio SA N 0061 0034 0109 0026 0838 0006 -2897Banco Gerador SA N 0073 0052 0124 0026 0855 0008 -1918Banco Randon SA N 0120 0024 0327 0114 0785 0005 -4153Parana Banco SA N 0048 0026 0106 0020 0786 0008 -2732Banco Triangulo SA N 0055 0027 0111 0022 0834 0004 -4227Banco Guanabara SA N 0052 0024 0153 0024 0779 0004 -5589Banco Cedula SA N 0069 0012 0339 0062 0734 0003 -10232Banco Cacique SA N 0076 0027 0246 0076 0785 0016 -1317Banco Luso Brasileiro SA N 0067 0027 0207 0047 0852 0004 -3379Banco Pecunia SA N 0046 0038 0054 0006 0773 0003 -71Banco Zogbi SA N 0047 0037 0061 0010 0778 0001 -14931Banco Daycoval SA N 0054 0022 0126 0026 0782 0004 -5661Banco John Deere SA N 0056 0018 0129 0031 0756 0003 -8043Banco AJ Renner SA N 0053 0025 0080 0015 0829 0006 -2716ABN Amro F 0053 0038 0074 0012 0908 0002 -4751Chase F 0067 0014 0225 0047 0792 0008 -2693LLoyds F 0049 0025 0064 0012 0824 0003 -5227BankBoston F 0054 0037 0096 0020 0899 0006 -1701Santander Brasil F 0057 0033 0103 0019 0884 0008 -1511Citibank F 0059 0026 0154 0028 0871 0003 -4204BNL F 0052 0037 0097 0020 0840 0006 -28Sudameris F 0052 0045 0058 0005 0962 0011 -334Societe Generale F 0060 0023 0151 0031 0827 0006 -2924Europeu F 0050 0032 0066 0012 0849 0007 -2263ABC-Brasil F 0051 0025 0079 0014 0814 0003 -617Dresdner F 0080 0017 0276 0073 0816 0005 -3374AGF Braseg F 0050 0031 0093 0015 0796 0004 -4812HSBC F 0057 0043 0093 0011 0966 0006 -541Deutsche F 0066 0013 0155 0035 0858 0004 -3244BNP Paribas F 0050 0035 0067 0008 0822 0005 -3775Barclays F 0056 0024 0113 0025 0778 0007 -305Rabobank Int Brasil SA F 0057 0021 0163 0027 0842 0003 -5208B Nat de Paris Brasil SA F 0058 0022 0100 0029 0812 0006 -3343Ibibank SA - Banco Multiplo F 0057 0012 0099 0023 0780 0015 -1478Dresdner Bank - B Multiplo F 0087 0016 0244 0068 0770 0008 -2768Banco Westlb Do Brasil SA F 0063 0034 0106 0026 0841 0010 -1625Banco GE Capital SA F 0064 0032 0247 0046 0853 0010 -1522B Com Uruguai SA F 0073 0019 0191 0049 0833 0003 -50981S - State-owned bank N - National bank and F - Foreign bank

50

Table A11 Estimates of Lerner index and return to scale by bank - Model (6)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0036 0096 0015 0939 0007 -855Banrisul S 0050 0035 0098 0014 0938 0008 -82BEC S 0041 0019 0067 0012 0855 0009 -1644BRB S 0053 0029 0124 0018 0956 0002 -1996BB S 0051 0032 0088 0013 0954 0006 -807Caixa Economica Federal S 0054 0040 0094 0012 1014 0003 475B da Amazonia SA S 0053 0015 0103 0022 0846 0008 -205B do Estado Do Para SA S 0051 0028 0074 0013 0943 0004 -1319B do E Do Maranhao SA S 0041 0031 0059 0008 0950 0014 -346B do E Do Piauı SA - Bep S 0042 0028 0084 0012 0879 0004 -2727B do Estado De Sergipe SA S 0052 0022 0153 0022 0953 0003 -1377Nossa Caixa - N Banco SA S 0047 0032 0081 0014 0969 0004 -74Bradesco N 0052 0032 0097 0019 0898 0004 -2645Itau N 0054 0027 0190 0031 0877 0003 -4452Safra N 0049 0032 0100 0015 0872 0003 -5056Unibanco N 0043 0032 0067 0010 0878 0001 -8666Mercantil Do Brasil N 0053 0026 0087 0017 0938 0002 -3104BBM N 0066 0013 0251 0056 0792 0005 -4556BMC N 0041 0026 0069 0011 0850 0003 -4582BMG N 0067 0016 0228 0057 0781 0003 -6611JMalucelli N 0051 0022 0089 0017 0725 0003 -9344PEBB N 0046 0015 0157 0039 0728 0008 -3313SS N 0058 0025 0230 0046 0801 0007 -292Sofisa N 0053 0020 0119 0025 0809 0002 -8846BIC N 0060 0029 0262 0049 0852 0005 -2697Schahin N 0049 0025 0229 0040 0843 0006 -2523Stock N 0081 0017 0284 0072 0836 0005 -2986Pine N 0049 0021 0112 0019 0812 0004 -5267Socopa N 0050 0026 0095 0015 0900 0003 -3515Intercap N 0055 0021 0196 0035 0828 0006 -2899Indusval N 0061 0029 0262 0049 0863 0005 -2762Bonsucesso N 0052 0019 0123 0026 0791 0005 -3885Industrial do Brasil N 0046 0027 0088 0015 0816 0002 -8698Votorantim N 0051 0027 0139 0027 0813 0007 -262Cacique N 0039 0022 0050 0009 0784 0005 -4707Inter Amex N 0045 0027 0064 0012 0843 0006 -2493Alfa N 0044 0033 0068 0009 0805 0002 -12111Rendimento N 0050 0022 0073 0010 0883 0008 -1543Bancoob N 0066 0055 0072 0007 0856 0003 -4559Original N 0098 0020 0294 0094 0735 0006 -4509Banco Intermedium SA N 0057 0024 0085 0022 0756 0006 -4324

Table A11 ndash Continue on next page

51

Table A11 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0061 0017 0195 0048 0777 0003 -7233Banco BBN SA N 0042 0023 0059 0012 0831 0011 -1529B Cooperativo Sicredi SA N 0048 0035 0066 0009 0879 0005 -2672B Cooperativo do Brasil SA N 0046 0034 0119 0017 0917 0006 -1439Banco Topazio SA N 0070 0031 0129 0036 0853 0005 -2776Banco Gerador SA N 0086 0057 0148 0034 0867 0007 -1825Banco Randon SA N 0126 0028 0331 0114 0799 0005 -4136Parana Banco SA N 0039 0023 0082 0015 0798 0008 -2556Banco Triangulo SA N 0052 0025 0116 0025 0840 0004 -4363Banco Guanabara SA N 0048 0021 0100 0019 0792 0004 -5683Banco Cedula SA N 0067 0013 0356 0067 0749 0002 -10205Banco Cacique SA N 0067 0026 0232 0073 0792 0015 -1356Banco Luso Brasileiro SA N 0065 0025 0237 0052 0864 0004 -3163Banco Pecunia SA N 0037 0029 0045 0006 0786 0003 -7158Banco Zogbi SA N 0037 0027 0045 0007 0785 0002 -13921Banco Daycoval SA N 0053 0020 0120 0031 0787 0003 -6088Banco John Deere SA N 0043 0017 0099 0022 0764 0003 -8346Banco AJ Renner SA N 0050 0025 0080 0013 0840 0006 -2706ABN Amro F 0043 0035 0067 0008 0894 0002 -6685Chase F 0059 0014 0189 0040 0803 0007 -2772LLoyds F 0039 0021 0055 0012 0824 0003 -5536BankBoston F 0044 0029 0075 0015 0890 0006 -1965Santander Brasil F 0054 0028 0107 0024 0871 0008 -1694Citibank F 0054 0023 0133 0026 0863 0003 -4787BNL F 0042 0028 0078 0018 0843 0005 -2998Sudameris F 0041 0036 0052 0006 0948 0010 -491Societe Generale F 0054 0020 0118 0025 0834 0006 -2716Europeu F 0038 0029 0049 0008 0856 0006 -2239ABC-Brasil F 0046 0028 0084 0014 0816 0003 -6111Dresdner F 0063 0015 0239 0061 0823 0005 -3888AGF Braseg F 0047 0027 0074 0014 0807 0004 -4477HSBC F 0054 0032 0109 0018 0950 0006 -823Deutsche F 0058 0013 0122 0028 0863 0004 -305BNP Paribas F 0051 0032 0070 0011 0822 0004 -4145Barclays F 0064 0024 0128 0029 0802 0005 -4051Rabobank Int Brasil SA F 0051 0019 0130 0021 0846 0003 -4992B Nat de Paris Brasil SA F 0043 0019 0070 0019 0819 0005 -3429Ibibank SA - Banco Multiplo F 0049 0010 0083 0020 0785 0013 -161Dresdner Bank - B Multiplo F 0087 0016 0261 0066 0783 0007 -2901Banco Westlb Do Brasil SA F 0051 0030 0082 0019 0850 0009 -1643Banco GE Capital SA F 0053 0028 0239 0044 0859 0009 -1544B Com Uruguai SA F 0071 0017 0217 0054 0845 0003 -48451S - State-owned bank N - National bank and F - Foreign bank

52

Seacuterie de Textos para Discussatildeo do Curso de Ciecircncias Econocircmicas ndash FACEUFG ndash TD [078]

EDITORIAL FACE ndash Faculdade de Administraccedilatildeo Ciecircncias Contaacutebeis e Ciecircncias Econocircmicas Curso de Ciecircncias Econocircmicas Direccedilatildeo FACE Prof Moiseacutes Ferreira da Cunha Vice-Direccedilatildeo FACE Profordf Andreacutea Freire de Lucena Coordenaccedilatildeo do Curso de Ciecircncias Econocircmicas Prof Tiago Camarinha Lopes NEPEC ndash Nuacutecleo de Estudos e Pesquisas Econocircmicas Coordenaccedilatildeo Prof Seacutergio Fornazier Meyrelles Filho SEacuteRIE DE TEXTOS PARA DISCUSSAtildeO DO CURSO DE CIEcircNCIAS ECONOcircMICAS DA UFG Coordenaccedilatildeo e Equipe de Editoraccedilatildeo Prof Sandro Eduardo Monsueto Adriana Moura Guimaratildees Matheus Henrique de Arauacutejo Dutra

Endereccedilo Campus Samambaia Preacutedio da FACE ndash Rodovia GoiacircniaNova Veneza km 0 ndash CEP 74690-900 Goiacircnia ndash GO Tel (62) 3521 ndash 1390 URL httpwwwfaceufgbreconomia Publicaccedilatildeo cujo objetivo eacute divulgar resultados de estudos que contam com a participaccedilatildeo de pesquisadores do NEPEC As opiniotildees contidas nesta publicaccedilatildeo satildeo de inteira responsabilidade do(s) autor(es) natildeo representando necessariamente o ponto de vista do NEPEC ou da FACEUFG Eacute permitida a reproduccedilatildeo desde que citada a fonte

Page 32: 1(3(& )$&( 8)* · The Dark Side of Prudential MeasuresI Paulo R. Scalco a, Benjamin M. Tabak1, Anderson M. Teixeira aFaculty of Management, Accounting and Economics, Federal University

Figure 1 Evolution of the Herfindahl Index (HHI) over time using credit and total assets for theBrazilian banking system

30

Figure 2 Marginal effects of HHI and prudential instruments (Capital Buffer Capital RequirementLTV Reserve Requirement (Foreign) Reserve Requirement (domestic) and cumulative prud) on the

mark-up u component

31

Figure 3 Frequency distribution of Lerner indexes for each model and density estimation Kernel by typeof control

32

Figure 4 Lerner indexes according to the size (market share) of banksrsquo assets

33

Figure 5 Average Lerner indices for each model between 2000q2 and 2014q4

34

Figure 6 Average Lerner indices estimated for public private national and private foreign banks between2000q2 and 2014q4

35

Figure 7 Frequency distribution of the returns to scale indexes for each model and density estimationKernel by type of control

36

Table 1 Variables used to IDF estimatation

Variabel Description SourceBasic variables

TR Total Revenue = Gross Insterest Income (a) + Bank-ing Service Fee Income (d1) + Banking Fee Income(d2) + Other Operating Income (d7)

Inc statIFData

TC Total Cost = Interest Expenses (b) + Personnel Ex-penses (d3) + Administrative Expenses (d4) + TaxExpenses (d5) + Other Operating Expenses (d8)

Inc statIFData

Y Loan Lease and Other Credit Operations by RiskLevel

SummaryIFData

x1 Personnel Expenses (d3) Inc statIFDatax2 Funding (e) LiabilitiesIFDatax3 Equity (j) LiabilitiesIFData

Model variabelslnRC Log of Revenue-Cost ratiolnY Log of total loanlnx1 Log of personnel expenses and equity ratio (x1x3)lnx2 Log of funding and equity ratio (x2x3)T Time

Prudential variables - Deterministic mark-up parametersHHIt HHIt =

sumS2it where Sit

2 is market share of totalasset of bank i on time t

Inc statIFData

cb cumulative change of capital buffer Cerutti et al (2016)cr cumulative change of capital requirement Cerutti et al (2016)ltv cumulative change of loan-to-value Cerutti et al (2016)

rr foreign cumulative change of reserve requirement (foreigncurrency)

Cerutti et al (2016)

rr local cumulative change of reserve requirement (domesticcurrency)

Cerutti et al (2016)

37

Table 2 Results of IDF estimation

Parameters VariablesEstimates

Model Model Model Model Model Model(1) (2) (3) (4) (5) (6)

Parametros da funcao insumo distanciaαY Y lnY -0013 -0003 -0004 -0012 -0011 -0005

(000) (000) (000) (000) (000) (000)α1Y lnx1 -0096 -0095 -0094 -0094 -0096 -0090

(001) (001) (001) (001) (001) (001)α2Y lnx2 -0019 -0022 -0022 -0019 -0020 -0021

(001) (001) (001) (001) (001) (001)αY T T -0000 -0000 -0000 -0000 -0000 -0000

(000) (000) (000) (000) (000) (000)αY const 1153 1010 1035 1134 1129 1057

(005) (007) (005) (005) (005) (006)

Deterministic Mark-up parametersδ1 HHI 764157

(12270)δ1 Capital

Buffer7586(065)

δ2 CapitalReq

4696(160)

δ1 Loan-to-value38511(671)

δ1 ResR(foreign)10730(433)

δ2 ResR(local)2869(126)

δ1 Cum Prud3237(020)

δ0 const minus10601minus10194minus5306 minus9866 minus8577 minus4993(032) (2064) (316) (079) (119) (122)

Distribution of u and vσ2u 2840 1418 1620 2643 2441 1593σ2v 0118 0121 0120 0118 0118 0120λ 2402 1172 1354 2233 2065 1325Log Lik 887404 922033 918606 896019 891991 907817

EstimatesEstimates of Mark-up (u)Avg 0075 0065 0068 0074 0075 00691st quartile 0052 0038 0051 0051 0051 0044Median 0062 0048 0060 0060 0061 00543st quartile 0080 0074 0079 0079 0079 0075std-dev 0053 0054 0053 0053 0054 0054

Note p lt 010 p lt 005 and p lt 001

38

Table 3 Estimates of Lerner index general and by type of control

EstimatesModel Model Model Model Model Model

(1) (2) (3) (4) (5) (6)Mark-up (L) generalAverage 0058 0051 0053 0057 0058 0053std-dev 0032 0034 0034 0032 0032 00331st quartile 0043 0031 0034 0041 0042 0036Median 0051 0039 0044 0050 0050 00453st quartile 0063 0060 0059 0063 0063 0060Mark-up (L) State-owned banksAverage 0057 0047 0049 0056 0056 0050std-dev 0018 0017 0017 0018 0016 00161st quartile 0047 0035 0038 0045 0046 0040Median 0054 0041 0046 0053 0053 00463st quartile 0064 0056 0056 0064 0063 0057Mark-up (L) National banksAverage 0057 0052 0054 0057 0057 0054std-dev 0034 0038 0038 0035 0035 00371st quartile 0041 0030 0033 0040 0041 0035Median 0050 0038 0043 0048 0049 00443st quartile 0061 0061 0060 0061 0062 0060Mark-up (L) Foreign banksAverage 0061 0050 0053 0059 0060 0054std-dev 0034 0033 0032 0034 0034 00321st quartile 0042 0031 0034 0041 0042 0036Median 0052 0040 0044 0051 0051 00453st quartile 0068 0059 0060 0066 0066 0061

Table 4 Estimates of returns to scale by control type and general

ModelState-owned

banksNational

banksForeignbanks

General std-dev Min Max

1 0944 0824 0842 0848 0073 0665 11242 0940 0829 0843 0851 0066 0690 10733 0938 0827 0842 0849 0066 0689 10764 0941 0824 0842 0848 0071 0671 11115 0942 0824 0841 0848 0072 0669 11136 0937 0829 0844 0850 0065 0692 1073

39

Appendix A Attachment Tables

Table A5 Cumulative change on Prudential Measures intensity

TimeCapitalBuffer 2

(cb)

CapitalReq(cr)

Loan-to-Value(ltv)

Reserve Reqlocal curr

(RR local)

Reserve Reqforeign cur

(RR foreign)

CumulativePrudential 3

(Cum Prud)2000q2 -1 0 0 0 -2 -32000q4 -1 0 0 0 -2 -32001q2 -1 0 0 0 -2 -32001q4 0 0 0 0 -1 -12002q2 0 0 0 0 0 02002q4 2 0 0 0 2 42003q2 0 0 0 0 3 32003q4 0 0 0 0 2 22004q2 0 0 0 0 2 22004q4 0 0 0 0 2 22005q2 0 0 0 0 2 22005q4 0 0 0 0 2 22006q2 0 0 0 0 2 22006q4 0 0 0 0 2 22007q2 2 0 0 0 2 42007q4 2 0 0 0 2 42008q2 2 0 0 0 2 42008q4 2 0 0 0 1 32009q2 2 0 0 0 0 22009q4 2 0 0 0 -1 12010q2 2 0 0 0 1 32010q4 3 0 0 0 3 62011q2 3 0 0 1 3 72011q4 4 0 0 2 3 92012q2 3 1 0 2 3 92012q4 3 1 0 1 2 72013q2 3 2 0 0 2 72013q4 3 2 1 0 2 82014q2 3 2 1 0 2 82014q4 2 2 1 0 3 82Sum of capital buffer and others 3Aggregate measure (It is the sum of the change of all other instrument)

40

Table A6 Estimates of Lerner index and return to scale by bank - Model (1)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0042 0082 0009 0940 0007 -85Banrisul S 0055 0041 0084 0009 0952 0008 -635BEC S 0048 0021 0077 0016 0844 0009 -1756BRB S 0058 0033 0100 0015 0961 0003 -1533BB S 0058 0039 0098 0012 0990 0006 -173Caixa Economica Federal S 0063 0051 0174 0022 1052 0004 1458B da Amazonia SA S 0057 0016 0124 0023 0844 0008 -2028B do Estado Do Para SA S 0061 0026 0110 0022 0936 0004 -1764B do Est do Maranhao SA S 0055 0046 0065 0006 0935 0014 -455B do Est do Piauı SA - Bep S 0057 0030 0155 0029 0862 0004 -326B do Estado De Sergipe SA S 0061 0024 0135 0022 0947 0004 -1453Nossa Caixa - N Banco SA S 0057 0036 0090 0013 0981 0004 -444Bradesco N 0056 0038 0114 0015 0925 0004 -1945Itau N 0059 0031 0220 0033 0901 0003 -3797Safra N 0053 0037 0085 0009 0885 0003 -4215Unibanco N 0055 0037 0088 0014 0897 0001 -7054Mercantil Do Brasil N 0057 0027 0077 0011 0945 0002 -2527BBM N 0076 0016 0300 0065 0783 0005 -4464BMC N 0052 0030 0079 0012 0845 0003 -4703BMG N 0065 0017 0208 0045 0779 0003 -729JMalucelli N 0047 0022 0069 0013 0718 0003 -8765PEBB N 0065 0017 0181 0047 0698 0008 -3914SS N 0057 0034 0220 0037 0799 0007 -2839Sofisa N 0054 0021 0092 0020 0804 0002 -9903BIC N 0060 0034 0236 0040 0855 0005 -276Schahin N 0056 0028 0214 0035 0835 0006 -262Stock N 0081 0020 0267 0067 0817 0006 -3107Pine N 0052 0022 0108 0019 0808 0004 -545Socopa N 0056 0027 0120 0017 0886 0003 -3806Intercap N 0060 0023 0212 0037 0812 0007 -2851Indusval N 0062 0030 0246 0043 0857 0005 -3139Bonsucesso N 0052 0020 0092 0018 0779 0005 -4033Industrial do Brasil N 0051 0031 0081 0016 0807 0002 -952Votorantim N 0052 0037 0107 0017 0819 0009 -2117Cacique N 0053 0024 0071 0014 0774 0005 -4621Inter Amex N 0055 0037 0068 0010 0837 0008 -2158Alfa N 0048 0041 0059 0005 0806 0002 -11303Rendimento N 0053 0022 0080 0012 0872 0008 -1562Bancoob N 0052 0046 0056 0003 0856 0003 -5061Original N 0085 0017 0279 0090 0729 0007 -4163Banco Intermedium SA N 0052 0028 0070 0015 0743 0006 -3973

Table A6 ndash Continue on next page

41

Table A6 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0225 0049 0761 0003 -7509Banco BBN SA N 0053 0027 0077 0014 0817 0012 -1509B Cooperativo Sicredi SA N 0052 0043 0062 0005 0875 0005 -2477B Cooperativo do Brasil SA N 0056 0046 0142 0020 0910 0006 -1479Banco Topazio SA N 0060 0035 0110 0027 0834 0006 -2966Banco Gerador SA N 0069 0045 0122 0028 0852 0008 -1968Banco Randon SA N 0109 0023 0320 0109 0783 0005 -4158Parana Banco SA N 0050 0026 0108 0020 0784 0008 -2799Banco Triangulo SA N 0055 0028 0091 0020 0833 0004 -4201Banco Guanabara SA N 0052 0024 0169 0025 0777 0004 -5588Banco Cedula SA N 0068 0012 0339 0061 0731 0003 -10236Banco Cacique SA N 0077 0028 0248 0077 0785 0016 -1309B Luso Brasileiro SA N 0065 0027 0208 0043 0849 0004 -349Banco Pecunia SA N 0047 0039 0060 0006 0770 0003 -7086Banco Zogbi SA N 0051 0038 0067 0011 0778 0001 -15193Banco Daycoval SA N 0054 0023 0131 0026 0783 0004 -5522B John Deere SA N 0059 0018 0133 0033 0756 0003 -7955Banco AJ Renner SA N 0053 0025 0081 0015 0827 0006 -2742ABN Amro F 0056 0039 0079 0014 0914 0002 -427Chase F 0068 0014 0228 0049 0790 0008 -2678LLoyds F 0053 0027 0064 0012 0825 0003 -5159BankBoston F 0057 0040 0099 0020 0902 0006 -1638Santander Brasil F 0057 0034 0097 0017 0890 0008 -146Citibank F 0059 0026 0153 0028 0875 0003 -4039BNL F 0055 0041 0097 0019 0840 0006 -2767Sudameris F 0056 0048 0065 0005 0966 0012 -297Societe Generale F 0060 0024 0153 0031 0826 0006 -299Europeu F 0054 0032 0073 0013 0848 0007 -2287ABC-Brasil F 0052 0025 0082 0014 0815 0003 -6207Dresdner F 0083 0017 0280 0074 0815 0006 -3234AGF Braseg F 0051 0031 0100 0016 0794 0004 -4923HSBC F 0057 0046 0092 0010 0971 0006 -466Deutsche F 0068 0013 0160 0036 0857 0004 -3335BNP Paribas F 0050 0037 0068 0007 0824 0005 -3665Barclays F 0052 0024 0089 0021 0771 0008 -2787Rabobank Int Brasil SA F 0058 0022 0166 0028 0842 0003 -5284B Nat de Paris Br SA F 0063 0023 0109 0033 0811 0006 -3331Ibibank SA - Banco Multiplo F 0059 0012 0106 0024 0781 0015 -1441Dresdner Bank - B Multiplo F 0086 0016 0244 0068 0768 0008 -2746Banco Westlb Do Brasil SA F 0064 0034 0108 0027 0839 0010 -1626Banco GE Capital SA F 0067 0032 0247 0047 0852 0010 -1527B Com Uruguai SA F 0072 0020 0192 0049 0830 0003 -52281S - State-owned bank N - National bank and F - Foreign bank

42

Table A7 Estimates of Lerner index and return to scale by bank - Model (2)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0049 0032 0085 0016 0944 0008 -716Banrisul S 0049 0032 0106 0017 0939 0008 -75BEC S 0032 0016 0046 0008 0860 0009 -1489BRB S 0049 0030 0112 0017 0961 0002 -1681BB S 0049 0032 0091 0016 0948 0006 -845Caixa Economica Federal S 0052 0034 0081 0014 1012 0003 382B da Amazonia SA S 0053 0015 0140 0028 0847 0008 -1922B do Estado Do Para SA S 0046 0029 0063 0009 0952 0005 -963B do Est do Maranhao SA S 0036 0029 0045 0005 0963 0016 -235B do Est do Piauı SA - Bep S 0036 0023 0071 0011 0888 0005 -2314B do Estado De Sergipe SA S 0050 0020 0155 0024 0962 0004 -1043Nossa Caixa - N Banco SA S 0039 0027 0074 0011 0972 0005 -601Bradesco N 0050 0028 0116 0023 0890 0004 -2618Itau N 0052 0024 0222 0037 0869 0003 -4269Safra N 0046 0028 0100 0017 0867 0003 -5042Unibanco N 0035 0028 0054 0007 0873 0001 -8511Mercantil Do Brasil N 0051 0029 0093 0019 0941 0002 -2837BBM N 0063 0012 0213 0048 0790 0005 -4494BMC N 0034 0023 0049 0007 0851 0003 -4266BMG N 0065 0015 0233 0057 0776 0004 -6135JMalucelli N 0052 0018 0080 0016 0720 0003 -9566PEBB N 0037 0014 0108 0025 0732 0009 -3086SS N 0056 0024 0236 0046 0797 0007 -2849Sofisa N 0052 0018 0107 0028 0808 0002 -8115BIC N 0057 0026 0259 0050 0850 0006 -2531Schahin N 0047 0022 0225 0041 0845 0007 -2359Stock N 0078 0017 0287 0071 0843 0006 -2782Pine N 0048 0018 0114 0023 0811 0004 -4973Socopa N 0050 0022 0136 0024 0908 0003 -3089Intercap N 0051 0019 0133 0031 0832 0006 -2759Indusval N 0061 0023 0267 0052 0866 0006 -2437Bonsucesso N 0050 0017 0109 0026 0791 0006 -3655Industrial do Brasil N 0044 0024 0079 0015 0816 0002 -8095Votorantim N 0048 0025 0120 0026 0807 0007 -2721Cacique N 0033 0020 0039 0006 0782 0005 -4597Inter Amex N 0035 0025 0045 0007 0844 0006 -2419Alfa N 0042 0029 0069 0013 0801 0002 -12139Rendimento N 0049 0019 0077 0015 0889 0008 -1394Bancoob N 0065 0057 0073 0006 0855 0003 -4199Original N 0099 0019 0299 0096 0732 0006 -4473Banco Intermedium SA N 0062 0032 0081 0019 0754 0006 -4393

Table A7 ndash Continue on next page

43

Table A7 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0059 0016 0239 0051 0778 0003 -6944Banco BBN SA N 0035 0020 0053 0009 0834 0011 -1466B Cooperativo Sicredi SA N 0045 0032 0070 0011 0881 0005 -2581B Cooperativo do Brasil SA N 0045 0029 0147 0025 0922 0006 -1274Banco Topazio SA N 0076 0043 0138 0038 0861 0005 -2569Banco Gerador SA N 0089 0054 0153 0037 0874 0008 -1645Banco Randon SA N 0122 0029 0335 0113 0803 0005 -388Parana Banco SA N 0033 0020 0062 0011 0800 0009 -234Banco Triangulo SA N 0052 0022 0105 0027 0841 0004 -4148Banco Guanabara SA N 0046 0019 0091 0020 0793 0004 -5561Banco Cedula SA N 0062 0011 0359 0067 0749 0003 -9911Banco Cacique SA N 0049 0020 0157 0048 0791 0016 -1315Banco Luso Brasileiro SA N 0066 0022 0241 0055 0870 0005 -2851Banco Pecunia SA N 0032 0027 0036 0003 0787 0003 -6876Banco Zogbi SA N 0032 0026 0037 0005 0784 0002 -13006Banco Daycoval SA N 0053 0019 0139 0036 0784 0004 -6065Banco John Deere SA N 0035 0016 0073 0016 0761 0003 -8278Banco AJ Renner SA N 0047 0021 0083 0015 0844 0006 -2553ABN Amro F 0035 0027 0047 0006 0889 0002 -7231Chase F 0054 0013 0157 0033 0804 0007 -2702LLoyds F 0033 0020 0043 0008 0821 0003 -5429BankBoston F 0036 0026 0060 0011 0888 0006 -1917Santander Brasil F 0055 0025 0115 0030 0864 0008 -1647Citibank F 0051 0020 0132 0025 0860 0003 -4735BNL F 0036 0026 0062 0012 0843 0005 -2959Sudameris F 0036 0031 0040 0004 0949 0011 -468Societe Generale F 0051 0018 0104 0024 0835 0007 -2454Europeu F 0034 0025 0041 0006 0859 0007 -2076ABC-Brasil F 0043 0026 0086 0015 0813 0003 -5797Dresdner F 0050 0014 0190 0046 0824 0004 -3975AGF Braseg F 0044 0024 0068 0014 0810 0005 -4109HSBC F 0052 0031 0110 0021 0948 0007 -776Deutsche F 0054 0012 0166 0030 0866 0005 -2754BNP Paribas F 0049 0028 0073 0013 0818 0004 -4092Barclays F 0065 0028 0121 0027 0811 0005 -4028Rabobank Int Brasil SA F 0047 0017 0102 0017 0845 0003 -4605B Nat de Paris Brasil SA F 0036 0017 0054 0013 0819 0005 -3304Ibibank SA - Banco Multiplo F 0043 0010 0114 0025 0782 0013 -1623Dresdner Bank - B Multiplo F 0096 0015 0270 0076 0785 0007 -2924Banco Westlb Do Brasil SA F 0041 0026 0062 0013 0853 0010 -154Banco GE Capital SA F 0054 0026 0253 0049 0862 0010 -1444B Com Uruguai SA F 0070 0017 0220 0058 0849 0003 -4471S - State-owned bank N - National bank and F - Foreign bank

44

Table A8 Estimates of Lerner index and return to scale by bank - Model (3)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0034 0090 0016 0941 0008 -772Banrisul S 0051 0032 0108 0016 0938 0008 -772BEC S 0035 0018 0051 0009 0856 0009 -1562BRB S 0052 0032 0122 0018 0958 0002 -1793BB S 0052 0035 0085 0015 0951 0006 -809Caixa Economica Federal S 0054 0039 0098 0014 1015 0003 465B da Amazonia SA S 0053 0014 0113 0024 0845 0008 -1977B do Estado Do Para SA S 0049 0028 0071 0010 0947 0005 -1117B do E do Maranhao SA S 0041 0032 0059 0008 0957 0015 -285B do E do Piauı SA - Bep S 0041 0028 0086 0014 0882 0005 -2518B do Estado De Sergipe SA S 0052 0021 0145 0022 0957 0004 -1182Nossa Caixa - N Banco SA S 0045 0029 0081 0015 0971 0005 -651Bradesco N 0052 0029 0101 0021 0893 0004 -2614Itau N 0054 0025 0203 0034 0872 0003 -4328Safra N 0048 0029 0093 0015 0869 0003 -5008Unibanco N 0041 0028 0067 0010 0874 0001 -8514Mercantil Do Brasil N 0053 0026 0095 0018 0939 0002 -29BBM N 0067 0013 0250 0056 0789 0005 -4501BMC N 0038 0024 0069 0010 0849 0003 -4408BMG N 0067 0015 0233 0058 0776 0004 -6374JMalucelli N 0052 0022 0087 0016 0720 0003 -9426PEBB N 0045 0014 0158 0040 0727 0009 -3192SS N 0057 0025 0231 0046 0797 0007 -287Sofisa N 0053 0018 0116 0026 0807 0002 -8444BIC N 0059 0030 0250 0049 0850 0006 -2596Schahin N 0048 0023 0220 0038 0842 0007 -2424Stock N 0083 0017 0304 0077 0838 0006 -2873Pine N 0049 0019 0105 0020 0810 0004 -5103Socopa N 0050 0026 0111 0018 0903 0003 -3253Intercap N 0055 0020 0196 0036 0828 0006 -283Indusval N 0062 0029 0282 0052 0863 0005 -2588Bonsucesso N 0051 0017 0118 0025 0789 0006 -3771Industrial do Brasil N 0046 0025 0086 0015 0815 0002 -8341Votorantim N 0050 0027 0128 0027 0809 0007 -2664Cacique N 0037 0020 0048 0009 0781 0005 -4645Inter Amex N 0039 0026 0058 0009 0842 0006 -2468Alfa N 0044 0031 0072 0011 0801 0002 -11998Rendimento N 0049 0022 0078 0011 0885 0008 -1463Bancoob N 0066 0057 0077 0007 0854 0003 -4342Original N 0102 0019 0301 0096 0730 0006 -4526Banco Intermedium SA N 0059 0027 0083 0020 0752 0006 -4354

Table A8 ndash Continue on next page

45

Table A8 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0017 0217 0054 0776 0003 -7084Banco BBN SA N 0038 0022 0058 0010 0831 0011 -1492B Cooperativo Sicredi SA N 0047 0035 0071 0010 0879 0005 -259B Cooperativo do Brasil SA N 0046 0035 0128 0020 0919 0006 -1339Banco Topazio SA N 0075 0036 0153 0041 0855 0005 -2657Banco Gerador SA N 0091 0057 0144 0034 0869 0008 -173Banco Randon SA N 0124 0029 0332 0112 0799 0005 -4023Parana Banco SA N 0036 0021 0071 0012 0797 0008 -2452Banco Triangulo SA N 0053 0023 0115 0027 0839 0004 -4256Banco Guanabara SA N 0047 0020 0100 0019 0790 0004 -561Banco Cedula SA N 0066 0012 0362 0068 0747 0003 -10082Banco Cacique SA N 0063 0026 0231 0074 0789 0016 -1336Banco Luso Brasileiro SA N 0066 0026 0249 0053 0865 0005 -2985Banco Pecunia SA N 0034 0029 0041 0004 0784 0003 -7038Banco Zogbi SA N 0036 0027 0046 0006 0782 0002 -13399Banco Daycoval SA N 0054 0019 0131 0034 0784 0004 -607Banco John Deere SA N 0039 0015 0083 0018 0761 0003 -8316Banco AJ Renner SA N 0049 0024 0073 0013 0840 0006 -2621ABN Amro F 0041 0030 0066 0009 0890 0002 -6866Chase F 0059 0013 0173 0039 0801 0007 -2733LLoyds F 0038 0021 0055 0010 0821 0003 -5484BankBoston F 0040 0028 0063 0012 0888 0006 -1931Santander Brasil F 0056 0028 0107 0027 0866 0008 -1663Citibank F 0052 0022 0123 0023 0860 0003 -4735BNL F 0039 0028 0063 0014 0841 0005 -2966Sudameris F 0041 0036 0052 0006 0948 0011 -473Societe Generale F 0052 0020 0103 0022 0833 0006 -2579Europeu F 0038 0030 0049 0007 0856 0007 -2153ABC-Brasil F 0046 0029 0079 0014 0813 0003 -5935Dresdner F 0055 0014 0212 0052 0822 0005 -3913AGF Braseg F 0046 0027 0071 0014 0806 0005 -4276HSBC F 0053 0032 0101 0019 0949 0007 -784Deutsche F 0058 0013 0141 0029 0863 0005 -2878BNP Paribas F 0051 0030 0074 0012 0818 0004 -4118Barclays F 0066 0025 0130 0030 0805 0005 -4123Rabobank Int Brasil SA F 0049 0019 0109 0018 0844 0003 -4752B Nat de Paris Brasil SA F 0041 0019 0069 0018 0817 0005 -3368Ibibank SA - Banco Multiplo F 0046 0010 0095 0021 0781 0014 -1617Dresdner Bank - B Multiplo F 0093 0017 0282 0072 0782 0008 -2899Banco Westlb Do Brasil SA F 0044 0027 0069 0015 0850 0009 -1591Banco GE Capital SA F 0055 0026 0249 0046 0859 0009 -1489B Com Uruguai SA F 0071 0017 0228 0056 0845 0003 -46241S - State-owned bank N - National bank and F - Foreign bank

46

Table A9 Estimates of Lerner index and return to scale by bank - Model (4)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0054 0041 0078 0011 0939 0007 -873Banrisul S 0055 0040 0106 0014 0948 0008 -692BEC S 0046 0020 0072 0014 0846 0009 -1746BRB S 0057 0032 0094 0016 0959 0002 -1673BB S 0057 0038 0095 0014 0981 0006 -33Caixa Economica Federal S 0061 0049 0165 0021 1042 0003 1249B da Amazonia SA S 0056 0015 0117 0022 0844 0008 -2047B do Estado Do Para SA S 0059 0025 0103 0020 0936 0004 -1701B do E Do Maranhao SA S 0052 0044 0062 0005 0936 0014 -448B do E Do Piauı SA - Bep S 0054 0029 0147 0028 0865 0004 -3201B do Estado De Sergipe SA S 0061 0023 0168 0026 0947 0004 -1484Nossa Caixa - N Banco SA S 0054 0035 0085 0012 0977 0004 -547Bradesco N 0056 0036 0107 0017 0919 0004 -2123Itau N 0058 0030 0212 0032 0896 0003 -3979Safra N 0052 0035 0107 0013 0882 0003 -445Unibanco N 0052 0035 0082 0013 0892 0001 -7446Mercantil Do Brasil N 0057 0027 0093 0015 0942 0002 -2687BBM N 0075 0015 0294 0064 0784 0005 -4512BMC N 0050 0029 0074 0011 0846 0003 -472BMG N 0065 0016 0202 0047 0779 0003 -7192JMalucelli N 0048 0022 0071 0014 0720 0003 -8923PEBB N 0061 0016 0172 0044 0704 0008 -382SS N 0056 0033 0213 0037 0799 0007 -2875Sofisa N 0053 0020 0087 0019 0805 0002 -9731BIC N 0061 0033 0269 0048 0854 0005 -2768Schahin N 0053 0027 0205 0034 0836 0006 -2627Stock N 0081 0020 0265 0068 0820 0006 -3122Pine N 0052 0022 0118 0021 0808 0004 -5467Socopa N 0054 0026 0114 0016 0888 0003 -3785Intercap N 0057 0023 0203 0035 0815 0006 -2877Indusval N 0062 0029 0239 0043 0857 0005 -3085Bonsucesso N 0052 0019 0088 0018 0782 0005 -403Industrial do Brasil N 0050 0030 0076 0015 0809 0002 -9427Votorantim N 0051 0036 0102 0017 0817 0008 -2222Cacique N 0050 0023 0067 0013 0776 0005 -4659Inter Amex N 0052 0035 0064 0009 0837 0007 -2226Alfa N 0048 0039 0071 0007 0805 0002 -11484Rendimento N 0052 0022 0076 0013 0874 0008 -1571Bancoob N 0057 0045 0071 0011 0855 0003 -5022Original N 0094 0017 0278 0090 0730 0006 -4242Banco Intermedium SA N 0049 0027 0065 0014 0746 0006 -4054

Table A9 ndash Continue on next page

47

Table A9 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0019 0220 0050 0764 0003 -7516Banco BBN SA N 0050 0027 0072 0013 0819 0012 -1529B Cooperativo Sicredi SA N 0051 0041 0068 0006 0875 0005 -2551B Cooperativo do Brasil SA N 0053 0044 0134 0018 0910 0006 -151Banco Topazio SA N 0066 0035 0128 0036 0837 0005 -2981Banco Gerador SA N 0082 0045 0157 0043 0854 0007 -1967Banco Randon SA N 0106 0026 0312 0105 0786 0005 -4204Parana Banco SA N 0048 0025 0102 0018 0787 0008 -2768Banco Triangulo SA N 0054 0027 0088 0021 0834 0004 -427Banco Guanabara SA N 0051 0023 0161 0025 0780 0004 -5659Banco Cedula SA N 0069 0012 0360 0065 0735 0003 -1028Banco Cacique SA N 0073 0027 0240 0075 0786 0016 -1327Banco Luso Brasileiro SA N 0065 0026 0242 0047 0852 0004 -346Banco Pecunia SA N 0045 0037 0056 0006 0773 0003 -7139Banco Zogbi SA N 0048 0036 0064 0010 0779 0001 -15057Banco Daycoval SA N 0055 0022 0126 0030 0784 0004 -568Banco John Deere SA N 0056 0018 0125 0031 0757 0003 -8084Banco AJ Renner SA N 0051 0025 0077 0013 0829 0006 -2763ABN Amro F 0053 0038 0074 0013 0909 0002 -4803Chase F 0066 0014 0220 0046 0793 0008 -2711LLoyds F 0050 0026 0060 0011 0825 0003 -5323BankBoston F 0054 0038 0092 0018 0899 0006 -1734Santander Brasil F 0056 0033 0098 0019 0885 0007 -1529Citibank F 0059 0025 0145 0030 0872 0003 -421BNL F 0052 0039 0091 0018 0840 0006 -2854Sudameris F 0053 0046 0062 0005 0961 0011 -352Societe Generale F 0058 0023 0144 0028 0827 0006 -2968Europeu F 0052 0031 0069 0012 0849 0007 -23ABC-Brasil F 0051 0028 0091 0015 0815 0003 -6225Dresdner F 0078 0017 0271 0071 0816 0005 -339AGF Braseg F 0050 0030 0094 0015 0797 0004 -4873HSBC F 0057 0045 0116 0016 0966 0006 -562Deutsche F 0066 0013 0151 0034 0858 0004 -3316BNP Paribas F 0050 0036 0071 0010 0823 0005 -3772Barclays F 0057 0024 0102 0025 0777 0007 -3003Rabobank Int Brasil SA F 0057 0021 0157 0026 0842 0003 -5266B Nat de Paris Brasil SA F 0059 0023 0102 0030 0812 0006 -3387Ibibank SA - Banco Multiplo F 0056 0012 0100 0023 0781 0015 -148Dresdner Bank - B Multiplo F 0084 0016 0237 0064 0771 0008 -2798Banco Westlb Do Brasil SA F 0061 0033 0101 0025 0841 0010 -1646Banco GE Capital SA F 0063 0031 0238 0044 0853 0010 -1548B Com Uruguai SA F 0074 0020 0226 0056 0833 0003 -51921S - State-owned bank N - National bank and F - Foreign bank

48

Table A10 Estimates of Lerner index and return to scale by bank - Model (5)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0043 0093 0012 0940 0007 -834Banrisul S 0054 0041 0083 0009 0949 0008 -668BEC S 0046 0020 0075 0014 0846 0009 -1719BRB S 0058 0032 0121 0017 0960 0002 -1607BB S 0056 0037 0087 0010 0981 0006 -321Caixa Economica Federal S 0061 0050 0156 0019 1044 0003 1282B da Amazonia SA S 0057 0016 0115 0023 0843 0008 -2023B do Estado Do Para SA S 0059 0027 0102 0020 0938 0004 -1608B do E Do Maranhao SA S 0052 0042 0064 0006 0939 0015 -418B do E Do Piauı SA - Bep S 0054 0029 0138 0025 0866 0004 -3097B do Estado De Sergipe SA S 0059 0024 0136 0020 0949 0004 -1404Nossa Caixa - N Banco SA S 0055 0036 0088 0013 0979 0004 -494Bradesco N 0056 0037 0108 0016 0918 0004 -2108Itau N 0058 0031 0213 0033 0894 0003 -3968Safra N 0052 0036 0086 0010 0881 0003 -4388Unibanco N 0053 0037 0085 0013 0892 0001 -7433Mercantil Do Brasil N 0057 0027 0086 0012 0943 0002 -2619BBM N 0075 0015 0292 0063 0784 0005 -447BMC N 0050 0029 0077 0012 0846 0003 -4648BMG N 0067 0017 0220 0051 0777 0003 -7116JMalucelli N 0049 0022 0083 0016 0718 0003 -8879PEBB N 0060 0017 0176 0044 0704 0008 -3743SS N 0059 0032 0223 0041 0798 0007 -2847Sofisa N 0055 0021 0112 0022 0804 0002 -9624BIC N 0060 0032 0238 0041 0853 0005 -2725Schahin N 0055 0028 0228 0038 0836 0006 -2575Stock N 0082 0019 0267 0068 0821 0006 -3063Pine N 0052 0022 0096 0018 0808 0004 -5392Socopa N 0055 0027 0113 0016 0889 0003 -3694Intercap N 0060 0023 0210 0037 0814 0006 -2856Indusval N 0062 0029 0245 0044 0857 0005 -3023Bonsucesso N 0053 0020 0113 0022 0781 0005 -3999Industrial do Brasil N 0051 0030 0084 0016 0808 0002 -9274Votorantim N 0052 0037 0130 0022 0816 0008 -2227Cacique N 0049 0024 0065 0012 0775 0005 -4632Inter Amex N 0052 0034 0067 0011 0837 0007 -2236Alfa N 0047 0041 0056 0004 0804 0002 -11448Rendimento N 0053 0022 0079 0011 0874 0008 -1549Bancoob N 0056 0050 0064 0005 0856 0003 -4874Original N 0087 0018 0288 0093 0728 0006 -4259Banco Intermedium SA N 0055 0027 0078 0019 0744 0006 -4047

Table A10 ndash Continue on next page

49

Table A10 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0217 0048 0763 0003 -7417Banco BBN SA N 0051 0026 0075 0014 0820 0012 -1504B Cooperativo Sicredi SA N 0051 0040 0061 0005 0876 0005 -2499B Cooperativo do Brasil SA N 0054 0043 0136 0019 0912 0006 -1445Banco Topazio SA N 0061 0034 0109 0026 0838 0006 -2897Banco Gerador SA N 0073 0052 0124 0026 0855 0008 -1918Banco Randon SA N 0120 0024 0327 0114 0785 0005 -4153Parana Banco SA N 0048 0026 0106 0020 0786 0008 -2732Banco Triangulo SA N 0055 0027 0111 0022 0834 0004 -4227Banco Guanabara SA N 0052 0024 0153 0024 0779 0004 -5589Banco Cedula SA N 0069 0012 0339 0062 0734 0003 -10232Banco Cacique SA N 0076 0027 0246 0076 0785 0016 -1317Banco Luso Brasileiro SA N 0067 0027 0207 0047 0852 0004 -3379Banco Pecunia SA N 0046 0038 0054 0006 0773 0003 -71Banco Zogbi SA N 0047 0037 0061 0010 0778 0001 -14931Banco Daycoval SA N 0054 0022 0126 0026 0782 0004 -5661Banco John Deere SA N 0056 0018 0129 0031 0756 0003 -8043Banco AJ Renner SA N 0053 0025 0080 0015 0829 0006 -2716ABN Amro F 0053 0038 0074 0012 0908 0002 -4751Chase F 0067 0014 0225 0047 0792 0008 -2693LLoyds F 0049 0025 0064 0012 0824 0003 -5227BankBoston F 0054 0037 0096 0020 0899 0006 -1701Santander Brasil F 0057 0033 0103 0019 0884 0008 -1511Citibank F 0059 0026 0154 0028 0871 0003 -4204BNL F 0052 0037 0097 0020 0840 0006 -28Sudameris F 0052 0045 0058 0005 0962 0011 -334Societe Generale F 0060 0023 0151 0031 0827 0006 -2924Europeu F 0050 0032 0066 0012 0849 0007 -2263ABC-Brasil F 0051 0025 0079 0014 0814 0003 -617Dresdner F 0080 0017 0276 0073 0816 0005 -3374AGF Braseg F 0050 0031 0093 0015 0796 0004 -4812HSBC F 0057 0043 0093 0011 0966 0006 -541Deutsche F 0066 0013 0155 0035 0858 0004 -3244BNP Paribas F 0050 0035 0067 0008 0822 0005 -3775Barclays F 0056 0024 0113 0025 0778 0007 -305Rabobank Int Brasil SA F 0057 0021 0163 0027 0842 0003 -5208B Nat de Paris Brasil SA F 0058 0022 0100 0029 0812 0006 -3343Ibibank SA - Banco Multiplo F 0057 0012 0099 0023 0780 0015 -1478Dresdner Bank - B Multiplo F 0087 0016 0244 0068 0770 0008 -2768Banco Westlb Do Brasil SA F 0063 0034 0106 0026 0841 0010 -1625Banco GE Capital SA F 0064 0032 0247 0046 0853 0010 -1522B Com Uruguai SA F 0073 0019 0191 0049 0833 0003 -50981S - State-owned bank N - National bank and F - Foreign bank

50

Table A11 Estimates of Lerner index and return to scale by bank - Model (6)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0036 0096 0015 0939 0007 -855Banrisul S 0050 0035 0098 0014 0938 0008 -82BEC S 0041 0019 0067 0012 0855 0009 -1644BRB S 0053 0029 0124 0018 0956 0002 -1996BB S 0051 0032 0088 0013 0954 0006 -807Caixa Economica Federal S 0054 0040 0094 0012 1014 0003 475B da Amazonia SA S 0053 0015 0103 0022 0846 0008 -205B do Estado Do Para SA S 0051 0028 0074 0013 0943 0004 -1319B do E Do Maranhao SA S 0041 0031 0059 0008 0950 0014 -346B do E Do Piauı SA - Bep S 0042 0028 0084 0012 0879 0004 -2727B do Estado De Sergipe SA S 0052 0022 0153 0022 0953 0003 -1377Nossa Caixa - N Banco SA S 0047 0032 0081 0014 0969 0004 -74Bradesco N 0052 0032 0097 0019 0898 0004 -2645Itau N 0054 0027 0190 0031 0877 0003 -4452Safra N 0049 0032 0100 0015 0872 0003 -5056Unibanco N 0043 0032 0067 0010 0878 0001 -8666Mercantil Do Brasil N 0053 0026 0087 0017 0938 0002 -3104BBM N 0066 0013 0251 0056 0792 0005 -4556BMC N 0041 0026 0069 0011 0850 0003 -4582BMG N 0067 0016 0228 0057 0781 0003 -6611JMalucelli N 0051 0022 0089 0017 0725 0003 -9344PEBB N 0046 0015 0157 0039 0728 0008 -3313SS N 0058 0025 0230 0046 0801 0007 -292Sofisa N 0053 0020 0119 0025 0809 0002 -8846BIC N 0060 0029 0262 0049 0852 0005 -2697Schahin N 0049 0025 0229 0040 0843 0006 -2523Stock N 0081 0017 0284 0072 0836 0005 -2986Pine N 0049 0021 0112 0019 0812 0004 -5267Socopa N 0050 0026 0095 0015 0900 0003 -3515Intercap N 0055 0021 0196 0035 0828 0006 -2899Indusval N 0061 0029 0262 0049 0863 0005 -2762Bonsucesso N 0052 0019 0123 0026 0791 0005 -3885Industrial do Brasil N 0046 0027 0088 0015 0816 0002 -8698Votorantim N 0051 0027 0139 0027 0813 0007 -262Cacique N 0039 0022 0050 0009 0784 0005 -4707Inter Amex N 0045 0027 0064 0012 0843 0006 -2493Alfa N 0044 0033 0068 0009 0805 0002 -12111Rendimento N 0050 0022 0073 0010 0883 0008 -1543Bancoob N 0066 0055 0072 0007 0856 0003 -4559Original N 0098 0020 0294 0094 0735 0006 -4509Banco Intermedium SA N 0057 0024 0085 0022 0756 0006 -4324

Table A11 ndash Continue on next page

51

Table A11 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0061 0017 0195 0048 0777 0003 -7233Banco BBN SA N 0042 0023 0059 0012 0831 0011 -1529B Cooperativo Sicredi SA N 0048 0035 0066 0009 0879 0005 -2672B Cooperativo do Brasil SA N 0046 0034 0119 0017 0917 0006 -1439Banco Topazio SA N 0070 0031 0129 0036 0853 0005 -2776Banco Gerador SA N 0086 0057 0148 0034 0867 0007 -1825Banco Randon SA N 0126 0028 0331 0114 0799 0005 -4136Parana Banco SA N 0039 0023 0082 0015 0798 0008 -2556Banco Triangulo SA N 0052 0025 0116 0025 0840 0004 -4363Banco Guanabara SA N 0048 0021 0100 0019 0792 0004 -5683Banco Cedula SA N 0067 0013 0356 0067 0749 0002 -10205Banco Cacique SA N 0067 0026 0232 0073 0792 0015 -1356Banco Luso Brasileiro SA N 0065 0025 0237 0052 0864 0004 -3163Banco Pecunia SA N 0037 0029 0045 0006 0786 0003 -7158Banco Zogbi SA N 0037 0027 0045 0007 0785 0002 -13921Banco Daycoval SA N 0053 0020 0120 0031 0787 0003 -6088Banco John Deere SA N 0043 0017 0099 0022 0764 0003 -8346Banco AJ Renner SA N 0050 0025 0080 0013 0840 0006 -2706ABN Amro F 0043 0035 0067 0008 0894 0002 -6685Chase F 0059 0014 0189 0040 0803 0007 -2772LLoyds F 0039 0021 0055 0012 0824 0003 -5536BankBoston F 0044 0029 0075 0015 0890 0006 -1965Santander Brasil F 0054 0028 0107 0024 0871 0008 -1694Citibank F 0054 0023 0133 0026 0863 0003 -4787BNL F 0042 0028 0078 0018 0843 0005 -2998Sudameris F 0041 0036 0052 0006 0948 0010 -491Societe Generale F 0054 0020 0118 0025 0834 0006 -2716Europeu F 0038 0029 0049 0008 0856 0006 -2239ABC-Brasil F 0046 0028 0084 0014 0816 0003 -6111Dresdner F 0063 0015 0239 0061 0823 0005 -3888AGF Braseg F 0047 0027 0074 0014 0807 0004 -4477HSBC F 0054 0032 0109 0018 0950 0006 -823Deutsche F 0058 0013 0122 0028 0863 0004 -305BNP Paribas F 0051 0032 0070 0011 0822 0004 -4145Barclays F 0064 0024 0128 0029 0802 0005 -4051Rabobank Int Brasil SA F 0051 0019 0130 0021 0846 0003 -4992B Nat de Paris Brasil SA F 0043 0019 0070 0019 0819 0005 -3429Ibibank SA - Banco Multiplo F 0049 0010 0083 0020 0785 0013 -161Dresdner Bank - B Multiplo F 0087 0016 0261 0066 0783 0007 -2901Banco Westlb Do Brasil SA F 0051 0030 0082 0019 0850 0009 -1643Banco GE Capital SA F 0053 0028 0239 0044 0859 0009 -1544B Com Uruguai SA F 0071 0017 0217 0054 0845 0003 -48451S - State-owned bank N - National bank and F - Foreign bank

52

Seacuterie de Textos para Discussatildeo do Curso de Ciecircncias Econocircmicas ndash FACEUFG ndash TD [078]

EDITORIAL FACE ndash Faculdade de Administraccedilatildeo Ciecircncias Contaacutebeis e Ciecircncias Econocircmicas Curso de Ciecircncias Econocircmicas Direccedilatildeo FACE Prof Moiseacutes Ferreira da Cunha Vice-Direccedilatildeo FACE Profordf Andreacutea Freire de Lucena Coordenaccedilatildeo do Curso de Ciecircncias Econocircmicas Prof Tiago Camarinha Lopes NEPEC ndash Nuacutecleo de Estudos e Pesquisas Econocircmicas Coordenaccedilatildeo Prof Seacutergio Fornazier Meyrelles Filho SEacuteRIE DE TEXTOS PARA DISCUSSAtildeO DO CURSO DE CIEcircNCIAS ECONOcircMICAS DA UFG Coordenaccedilatildeo e Equipe de Editoraccedilatildeo Prof Sandro Eduardo Monsueto Adriana Moura Guimaratildees Matheus Henrique de Arauacutejo Dutra

Endereccedilo Campus Samambaia Preacutedio da FACE ndash Rodovia GoiacircniaNova Veneza km 0 ndash CEP 74690-900 Goiacircnia ndash GO Tel (62) 3521 ndash 1390 URL httpwwwfaceufgbreconomia Publicaccedilatildeo cujo objetivo eacute divulgar resultados de estudos que contam com a participaccedilatildeo de pesquisadores do NEPEC As opiniotildees contidas nesta publicaccedilatildeo satildeo de inteira responsabilidade do(s) autor(es) natildeo representando necessariamente o ponto de vista do NEPEC ou da FACEUFG Eacute permitida a reproduccedilatildeo desde que citada a fonte

Page 33: 1(3(& )$&( 8)* · The Dark Side of Prudential MeasuresI Paulo R. Scalco a, Benjamin M. Tabak1, Anderson M. Teixeira aFaculty of Management, Accounting and Economics, Federal University

Figure 2 Marginal effects of HHI and prudential instruments (Capital Buffer Capital RequirementLTV Reserve Requirement (Foreign) Reserve Requirement (domestic) and cumulative prud) on the

mark-up u component

31

Figure 3 Frequency distribution of Lerner indexes for each model and density estimation Kernel by typeof control

32

Figure 4 Lerner indexes according to the size (market share) of banksrsquo assets

33

Figure 5 Average Lerner indices for each model between 2000q2 and 2014q4

34

Figure 6 Average Lerner indices estimated for public private national and private foreign banks between2000q2 and 2014q4

35

Figure 7 Frequency distribution of the returns to scale indexes for each model and density estimationKernel by type of control

36

Table 1 Variables used to IDF estimatation

Variabel Description SourceBasic variables

TR Total Revenue = Gross Insterest Income (a) + Bank-ing Service Fee Income (d1) + Banking Fee Income(d2) + Other Operating Income (d7)

Inc statIFData

TC Total Cost = Interest Expenses (b) + Personnel Ex-penses (d3) + Administrative Expenses (d4) + TaxExpenses (d5) + Other Operating Expenses (d8)

Inc statIFData

Y Loan Lease and Other Credit Operations by RiskLevel

SummaryIFData

x1 Personnel Expenses (d3) Inc statIFDatax2 Funding (e) LiabilitiesIFDatax3 Equity (j) LiabilitiesIFData

Model variabelslnRC Log of Revenue-Cost ratiolnY Log of total loanlnx1 Log of personnel expenses and equity ratio (x1x3)lnx2 Log of funding and equity ratio (x2x3)T Time

Prudential variables - Deterministic mark-up parametersHHIt HHIt =

sumS2it where Sit

2 is market share of totalasset of bank i on time t

Inc statIFData

cb cumulative change of capital buffer Cerutti et al (2016)cr cumulative change of capital requirement Cerutti et al (2016)ltv cumulative change of loan-to-value Cerutti et al (2016)

rr foreign cumulative change of reserve requirement (foreigncurrency)

Cerutti et al (2016)

rr local cumulative change of reserve requirement (domesticcurrency)

Cerutti et al (2016)

37

Table 2 Results of IDF estimation

Parameters VariablesEstimates

Model Model Model Model Model Model(1) (2) (3) (4) (5) (6)

Parametros da funcao insumo distanciaαY Y lnY -0013 -0003 -0004 -0012 -0011 -0005

(000) (000) (000) (000) (000) (000)α1Y lnx1 -0096 -0095 -0094 -0094 -0096 -0090

(001) (001) (001) (001) (001) (001)α2Y lnx2 -0019 -0022 -0022 -0019 -0020 -0021

(001) (001) (001) (001) (001) (001)αY T T -0000 -0000 -0000 -0000 -0000 -0000

(000) (000) (000) (000) (000) (000)αY const 1153 1010 1035 1134 1129 1057

(005) (007) (005) (005) (005) (006)

Deterministic Mark-up parametersδ1 HHI 764157

(12270)δ1 Capital

Buffer7586(065)

δ2 CapitalReq

4696(160)

δ1 Loan-to-value38511(671)

δ1 ResR(foreign)10730(433)

δ2 ResR(local)2869(126)

δ1 Cum Prud3237(020)

δ0 const minus10601minus10194minus5306 minus9866 minus8577 minus4993(032) (2064) (316) (079) (119) (122)

Distribution of u and vσ2u 2840 1418 1620 2643 2441 1593σ2v 0118 0121 0120 0118 0118 0120λ 2402 1172 1354 2233 2065 1325Log Lik 887404 922033 918606 896019 891991 907817

EstimatesEstimates of Mark-up (u)Avg 0075 0065 0068 0074 0075 00691st quartile 0052 0038 0051 0051 0051 0044Median 0062 0048 0060 0060 0061 00543st quartile 0080 0074 0079 0079 0079 0075std-dev 0053 0054 0053 0053 0054 0054

Note p lt 010 p lt 005 and p lt 001

38

Table 3 Estimates of Lerner index general and by type of control

EstimatesModel Model Model Model Model Model

(1) (2) (3) (4) (5) (6)Mark-up (L) generalAverage 0058 0051 0053 0057 0058 0053std-dev 0032 0034 0034 0032 0032 00331st quartile 0043 0031 0034 0041 0042 0036Median 0051 0039 0044 0050 0050 00453st quartile 0063 0060 0059 0063 0063 0060Mark-up (L) State-owned banksAverage 0057 0047 0049 0056 0056 0050std-dev 0018 0017 0017 0018 0016 00161st quartile 0047 0035 0038 0045 0046 0040Median 0054 0041 0046 0053 0053 00463st quartile 0064 0056 0056 0064 0063 0057Mark-up (L) National banksAverage 0057 0052 0054 0057 0057 0054std-dev 0034 0038 0038 0035 0035 00371st quartile 0041 0030 0033 0040 0041 0035Median 0050 0038 0043 0048 0049 00443st quartile 0061 0061 0060 0061 0062 0060Mark-up (L) Foreign banksAverage 0061 0050 0053 0059 0060 0054std-dev 0034 0033 0032 0034 0034 00321st quartile 0042 0031 0034 0041 0042 0036Median 0052 0040 0044 0051 0051 00453st quartile 0068 0059 0060 0066 0066 0061

Table 4 Estimates of returns to scale by control type and general

ModelState-owned

banksNational

banksForeignbanks

General std-dev Min Max

1 0944 0824 0842 0848 0073 0665 11242 0940 0829 0843 0851 0066 0690 10733 0938 0827 0842 0849 0066 0689 10764 0941 0824 0842 0848 0071 0671 11115 0942 0824 0841 0848 0072 0669 11136 0937 0829 0844 0850 0065 0692 1073

39

Appendix A Attachment Tables

Table A5 Cumulative change on Prudential Measures intensity

TimeCapitalBuffer 2

(cb)

CapitalReq(cr)

Loan-to-Value(ltv)

Reserve Reqlocal curr

(RR local)

Reserve Reqforeign cur

(RR foreign)

CumulativePrudential 3

(Cum Prud)2000q2 -1 0 0 0 -2 -32000q4 -1 0 0 0 -2 -32001q2 -1 0 0 0 -2 -32001q4 0 0 0 0 -1 -12002q2 0 0 0 0 0 02002q4 2 0 0 0 2 42003q2 0 0 0 0 3 32003q4 0 0 0 0 2 22004q2 0 0 0 0 2 22004q4 0 0 0 0 2 22005q2 0 0 0 0 2 22005q4 0 0 0 0 2 22006q2 0 0 0 0 2 22006q4 0 0 0 0 2 22007q2 2 0 0 0 2 42007q4 2 0 0 0 2 42008q2 2 0 0 0 2 42008q4 2 0 0 0 1 32009q2 2 0 0 0 0 22009q4 2 0 0 0 -1 12010q2 2 0 0 0 1 32010q4 3 0 0 0 3 62011q2 3 0 0 1 3 72011q4 4 0 0 2 3 92012q2 3 1 0 2 3 92012q4 3 1 0 1 2 72013q2 3 2 0 0 2 72013q4 3 2 1 0 2 82014q2 3 2 1 0 2 82014q4 2 2 1 0 3 82Sum of capital buffer and others 3Aggregate measure (It is the sum of the change of all other instrument)

40

Table A6 Estimates of Lerner index and return to scale by bank - Model (1)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0042 0082 0009 0940 0007 -85Banrisul S 0055 0041 0084 0009 0952 0008 -635BEC S 0048 0021 0077 0016 0844 0009 -1756BRB S 0058 0033 0100 0015 0961 0003 -1533BB S 0058 0039 0098 0012 0990 0006 -173Caixa Economica Federal S 0063 0051 0174 0022 1052 0004 1458B da Amazonia SA S 0057 0016 0124 0023 0844 0008 -2028B do Estado Do Para SA S 0061 0026 0110 0022 0936 0004 -1764B do Est do Maranhao SA S 0055 0046 0065 0006 0935 0014 -455B do Est do Piauı SA - Bep S 0057 0030 0155 0029 0862 0004 -326B do Estado De Sergipe SA S 0061 0024 0135 0022 0947 0004 -1453Nossa Caixa - N Banco SA S 0057 0036 0090 0013 0981 0004 -444Bradesco N 0056 0038 0114 0015 0925 0004 -1945Itau N 0059 0031 0220 0033 0901 0003 -3797Safra N 0053 0037 0085 0009 0885 0003 -4215Unibanco N 0055 0037 0088 0014 0897 0001 -7054Mercantil Do Brasil N 0057 0027 0077 0011 0945 0002 -2527BBM N 0076 0016 0300 0065 0783 0005 -4464BMC N 0052 0030 0079 0012 0845 0003 -4703BMG N 0065 0017 0208 0045 0779 0003 -729JMalucelli N 0047 0022 0069 0013 0718 0003 -8765PEBB N 0065 0017 0181 0047 0698 0008 -3914SS N 0057 0034 0220 0037 0799 0007 -2839Sofisa N 0054 0021 0092 0020 0804 0002 -9903BIC N 0060 0034 0236 0040 0855 0005 -276Schahin N 0056 0028 0214 0035 0835 0006 -262Stock N 0081 0020 0267 0067 0817 0006 -3107Pine N 0052 0022 0108 0019 0808 0004 -545Socopa N 0056 0027 0120 0017 0886 0003 -3806Intercap N 0060 0023 0212 0037 0812 0007 -2851Indusval N 0062 0030 0246 0043 0857 0005 -3139Bonsucesso N 0052 0020 0092 0018 0779 0005 -4033Industrial do Brasil N 0051 0031 0081 0016 0807 0002 -952Votorantim N 0052 0037 0107 0017 0819 0009 -2117Cacique N 0053 0024 0071 0014 0774 0005 -4621Inter Amex N 0055 0037 0068 0010 0837 0008 -2158Alfa N 0048 0041 0059 0005 0806 0002 -11303Rendimento N 0053 0022 0080 0012 0872 0008 -1562Bancoob N 0052 0046 0056 0003 0856 0003 -5061Original N 0085 0017 0279 0090 0729 0007 -4163Banco Intermedium SA N 0052 0028 0070 0015 0743 0006 -3973

Table A6 ndash Continue on next page

41

Table A6 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0225 0049 0761 0003 -7509Banco BBN SA N 0053 0027 0077 0014 0817 0012 -1509B Cooperativo Sicredi SA N 0052 0043 0062 0005 0875 0005 -2477B Cooperativo do Brasil SA N 0056 0046 0142 0020 0910 0006 -1479Banco Topazio SA N 0060 0035 0110 0027 0834 0006 -2966Banco Gerador SA N 0069 0045 0122 0028 0852 0008 -1968Banco Randon SA N 0109 0023 0320 0109 0783 0005 -4158Parana Banco SA N 0050 0026 0108 0020 0784 0008 -2799Banco Triangulo SA N 0055 0028 0091 0020 0833 0004 -4201Banco Guanabara SA N 0052 0024 0169 0025 0777 0004 -5588Banco Cedula SA N 0068 0012 0339 0061 0731 0003 -10236Banco Cacique SA N 0077 0028 0248 0077 0785 0016 -1309B Luso Brasileiro SA N 0065 0027 0208 0043 0849 0004 -349Banco Pecunia SA N 0047 0039 0060 0006 0770 0003 -7086Banco Zogbi SA N 0051 0038 0067 0011 0778 0001 -15193Banco Daycoval SA N 0054 0023 0131 0026 0783 0004 -5522B John Deere SA N 0059 0018 0133 0033 0756 0003 -7955Banco AJ Renner SA N 0053 0025 0081 0015 0827 0006 -2742ABN Amro F 0056 0039 0079 0014 0914 0002 -427Chase F 0068 0014 0228 0049 0790 0008 -2678LLoyds F 0053 0027 0064 0012 0825 0003 -5159BankBoston F 0057 0040 0099 0020 0902 0006 -1638Santander Brasil F 0057 0034 0097 0017 0890 0008 -146Citibank F 0059 0026 0153 0028 0875 0003 -4039BNL F 0055 0041 0097 0019 0840 0006 -2767Sudameris F 0056 0048 0065 0005 0966 0012 -297Societe Generale F 0060 0024 0153 0031 0826 0006 -299Europeu F 0054 0032 0073 0013 0848 0007 -2287ABC-Brasil F 0052 0025 0082 0014 0815 0003 -6207Dresdner F 0083 0017 0280 0074 0815 0006 -3234AGF Braseg F 0051 0031 0100 0016 0794 0004 -4923HSBC F 0057 0046 0092 0010 0971 0006 -466Deutsche F 0068 0013 0160 0036 0857 0004 -3335BNP Paribas F 0050 0037 0068 0007 0824 0005 -3665Barclays F 0052 0024 0089 0021 0771 0008 -2787Rabobank Int Brasil SA F 0058 0022 0166 0028 0842 0003 -5284B Nat de Paris Br SA F 0063 0023 0109 0033 0811 0006 -3331Ibibank SA - Banco Multiplo F 0059 0012 0106 0024 0781 0015 -1441Dresdner Bank - B Multiplo F 0086 0016 0244 0068 0768 0008 -2746Banco Westlb Do Brasil SA F 0064 0034 0108 0027 0839 0010 -1626Banco GE Capital SA F 0067 0032 0247 0047 0852 0010 -1527B Com Uruguai SA F 0072 0020 0192 0049 0830 0003 -52281S - State-owned bank N - National bank and F - Foreign bank

42

Table A7 Estimates of Lerner index and return to scale by bank - Model (2)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0049 0032 0085 0016 0944 0008 -716Banrisul S 0049 0032 0106 0017 0939 0008 -75BEC S 0032 0016 0046 0008 0860 0009 -1489BRB S 0049 0030 0112 0017 0961 0002 -1681BB S 0049 0032 0091 0016 0948 0006 -845Caixa Economica Federal S 0052 0034 0081 0014 1012 0003 382B da Amazonia SA S 0053 0015 0140 0028 0847 0008 -1922B do Estado Do Para SA S 0046 0029 0063 0009 0952 0005 -963B do Est do Maranhao SA S 0036 0029 0045 0005 0963 0016 -235B do Est do Piauı SA - Bep S 0036 0023 0071 0011 0888 0005 -2314B do Estado De Sergipe SA S 0050 0020 0155 0024 0962 0004 -1043Nossa Caixa - N Banco SA S 0039 0027 0074 0011 0972 0005 -601Bradesco N 0050 0028 0116 0023 0890 0004 -2618Itau N 0052 0024 0222 0037 0869 0003 -4269Safra N 0046 0028 0100 0017 0867 0003 -5042Unibanco N 0035 0028 0054 0007 0873 0001 -8511Mercantil Do Brasil N 0051 0029 0093 0019 0941 0002 -2837BBM N 0063 0012 0213 0048 0790 0005 -4494BMC N 0034 0023 0049 0007 0851 0003 -4266BMG N 0065 0015 0233 0057 0776 0004 -6135JMalucelli N 0052 0018 0080 0016 0720 0003 -9566PEBB N 0037 0014 0108 0025 0732 0009 -3086SS N 0056 0024 0236 0046 0797 0007 -2849Sofisa N 0052 0018 0107 0028 0808 0002 -8115BIC N 0057 0026 0259 0050 0850 0006 -2531Schahin N 0047 0022 0225 0041 0845 0007 -2359Stock N 0078 0017 0287 0071 0843 0006 -2782Pine N 0048 0018 0114 0023 0811 0004 -4973Socopa N 0050 0022 0136 0024 0908 0003 -3089Intercap N 0051 0019 0133 0031 0832 0006 -2759Indusval N 0061 0023 0267 0052 0866 0006 -2437Bonsucesso N 0050 0017 0109 0026 0791 0006 -3655Industrial do Brasil N 0044 0024 0079 0015 0816 0002 -8095Votorantim N 0048 0025 0120 0026 0807 0007 -2721Cacique N 0033 0020 0039 0006 0782 0005 -4597Inter Amex N 0035 0025 0045 0007 0844 0006 -2419Alfa N 0042 0029 0069 0013 0801 0002 -12139Rendimento N 0049 0019 0077 0015 0889 0008 -1394Bancoob N 0065 0057 0073 0006 0855 0003 -4199Original N 0099 0019 0299 0096 0732 0006 -4473Banco Intermedium SA N 0062 0032 0081 0019 0754 0006 -4393

Table A7 ndash Continue on next page

43

Table A7 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0059 0016 0239 0051 0778 0003 -6944Banco BBN SA N 0035 0020 0053 0009 0834 0011 -1466B Cooperativo Sicredi SA N 0045 0032 0070 0011 0881 0005 -2581B Cooperativo do Brasil SA N 0045 0029 0147 0025 0922 0006 -1274Banco Topazio SA N 0076 0043 0138 0038 0861 0005 -2569Banco Gerador SA N 0089 0054 0153 0037 0874 0008 -1645Banco Randon SA N 0122 0029 0335 0113 0803 0005 -388Parana Banco SA N 0033 0020 0062 0011 0800 0009 -234Banco Triangulo SA N 0052 0022 0105 0027 0841 0004 -4148Banco Guanabara SA N 0046 0019 0091 0020 0793 0004 -5561Banco Cedula SA N 0062 0011 0359 0067 0749 0003 -9911Banco Cacique SA N 0049 0020 0157 0048 0791 0016 -1315Banco Luso Brasileiro SA N 0066 0022 0241 0055 0870 0005 -2851Banco Pecunia SA N 0032 0027 0036 0003 0787 0003 -6876Banco Zogbi SA N 0032 0026 0037 0005 0784 0002 -13006Banco Daycoval SA N 0053 0019 0139 0036 0784 0004 -6065Banco John Deere SA N 0035 0016 0073 0016 0761 0003 -8278Banco AJ Renner SA N 0047 0021 0083 0015 0844 0006 -2553ABN Amro F 0035 0027 0047 0006 0889 0002 -7231Chase F 0054 0013 0157 0033 0804 0007 -2702LLoyds F 0033 0020 0043 0008 0821 0003 -5429BankBoston F 0036 0026 0060 0011 0888 0006 -1917Santander Brasil F 0055 0025 0115 0030 0864 0008 -1647Citibank F 0051 0020 0132 0025 0860 0003 -4735BNL F 0036 0026 0062 0012 0843 0005 -2959Sudameris F 0036 0031 0040 0004 0949 0011 -468Societe Generale F 0051 0018 0104 0024 0835 0007 -2454Europeu F 0034 0025 0041 0006 0859 0007 -2076ABC-Brasil F 0043 0026 0086 0015 0813 0003 -5797Dresdner F 0050 0014 0190 0046 0824 0004 -3975AGF Braseg F 0044 0024 0068 0014 0810 0005 -4109HSBC F 0052 0031 0110 0021 0948 0007 -776Deutsche F 0054 0012 0166 0030 0866 0005 -2754BNP Paribas F 0049 0028 0073 0013 0818 0004 -4092Barclays F 0065 0028 0121 0027 0811 0005 -4028Rabobank Int Brasil SA F 0047 0017 0102 0017 0845 0003 -4605B Nat de Paris Brasil SA F 0036 0017 0054 0013 0819 0005 -3304Ibibank SA - Banco Multiplo F 0043 0010 0114 0025 0782 0013 -1623Dresdner Bank - B Multiplo F 0096 0015 0270 0076 0785 0007 -2924Banco Westlb Do Brasil SA F 0041 0026 0062 0013 0853 0010 -154Banco GE Capital SA F 0054 0026 0253 0049 0862 0010 -1444B Com Uruguai SA F 0070 0017 0220 0058 0849 0003 -4471S - State-owned bank N - National bank and F - Foreign bank

44

Table A8 Estimates of Lerner index and return to scale by bank - Model (3)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0034 0090 0016 0941 0008 -772Banrisul S 0051 0032 0108 0016 0938 0008 -772BEC S 0035 0018 0051 0009 0856 0009 -1562BRB S 0052 0032 0122 0018 0958 0002 -1793BB S 0052 0035 0085 0015 0951 0006 -809Caixa Economica Federal S 0054 0039 0098 0014 1015 0003 465B da Amazonia SA S 0053 0014 0113 0024 0845 0008 -1977B do Estado Do Para SA S 0049 0028 0071 0010 0947 0005 -1117B do E do Maranhao SA S 0041 0032 0059 0008 0957 0015 -285B do E do Piauı SA - Bep S 0041 0028 0086 0014 0882 0005 -2518B do Estado De Sergipe SA S 0052 0021 0145 0022 0957 0004 -1182Nossa Caixa - N Banco SA S 0045 0029 0081 0015 0971 0005 -651Bradesco N 0052 0029 0101 0021 0893 0004 -2614Itau N 0054 0025 0203 0034 0872 0003 -4328Safra N 0048 0029 0093 0015 0869 0003 -5008Unibanco N 0041 0028 0067 0010 0874 0001 -8514Mercantil Do Brasil N 0053 0026 0095 0018 0939 0002 -29BBM N 0067 0013 0250 0056 0789 0005 -4501BMC N 0038 0024 0069 0010 0849 0003 -4408BMG N 0067 0015 0233 0058 0776 0004 -6374JMalucelli N 0052 0022 0087 0016 0720 0003 -9426PEBB N 0045 0014 0158 0040 0727 0009 -3192SS N 0057 0025 0231 0046 0797 0007 -287Sofisa N 0053 0018 0116 0026 0807 0002 -8444BIC N 0059 0030 0250 0049 0850 0006 -2596Schahin N 0048 0023 0220 0038 0842 0007 -2424Stock N 0083 0017 0304 0077 0838 0006 -2873Pine N 0049 0019 0105 0020 0810 0004 -5103Socopa N 0050 0026 0111 0018 0903 0003 -3253Intercap N 0055 0020 0196 0036 0828 0006 -283Indusval N 0062 0029 0282 0052 0863 0005 -2588Bonsucesso N 0051 0017 0118 0025 0789 0006 -3771Industrial do Brasil N 0046 0025 0086 0015 0815 0002 -8341Votorantim N 0050 0027 0128 0027 0809 0007 -2664Cacique N 0037 0020 0048 0009 0781 0005 -4645Inter Amex N 0039 0026 0058 0009 0842 0006 -2468Alfa N 0044 0031 0072 0011 0801 0002 -11998Rendimento N 0049 0022 0078 0011 0885 0008 -1463Bancoob N 0066 0057 0077 0007 0854 0003 -4342Original N 0102 0019 0301 0096 0730 0006 -4526Banco Intermedium SA N 0059 0027 0083 0020 0752 0006 -4354

Table A8 ndash Continue on next page

45

Table A8 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0017 0217 0054 0776 0003 -7084Banco BBN SA N 0038 0022 0058 0010 0831 0011 -1492B Cooperativo Sicredi SA N 0047 0035 0071 0010 0879 0005 -259B Cooperativo do Brasil SA N 0046 0035 0128 0020 0919 0006 -1339Banco Topazio SA N 0075 0036 0153 0041 0855 0005 -2657Banco Gerador SA N 0091 0057 0144 0034 0869 0008 -173Banco Randon SA N 0124 0029 0332 0112 0799 0005 -4023Parana Banco SA N 0036 0021 0071 0012 0797 0008 -2452Banco Triangulo SA N 0053 0023 0115 0027 0839 0004 -4256Banco Guanabara SA N 0047 0020 0100 0019 0790 0004 -561Banco Cedula SA N 0066 0012 0362 0068 0747 0003 -10082Banco Cacique SA N 0063 0026 0231 0074 0789 0016 -1336Banco Luso Brasileiro SA N 0066 0026 0249 0053 0865 0005 -2985Banco Pecunia SA N 0034 0029 0041 0004 0784 0003 -7038Banco Zogbi SA N 0036 0027 0046 0006 0782 0002 -13399Banco Daycoval SA N 0054 0019 0131 0034 0784 0004 -607Banco John Deere SA N 0039 0015 0083 0018 0761 0003 -8316Banco AJ Renner SA N 0049 0024 0073 0013 0840 0006 -2621ABN Amro F 0041 0030 0066 0009 0890 0002 -6866Chase F 0059 0013 0173 0039 0801 0007 -2733LLoyds F 0038 0021 0055 0010 0821 0003 -5484BankBoston F 0040 0028 0063 0012 0888 0006 -1931Santander Brasil F 0056 0028 0107 0027 0866 0008 -1663Citibank F 0052 0022 0123 0023 0860 0003 -4735BNL F 0039 0028 0063 0014 0841 0005 -2966Sudameris F 0041 0036 0052 0006 0948 0011 -473Societe Generale F 0052 0020 0103 0022 0833 0006 -2579Europeu F 0038 0030 0049 0007 0856 0007 -2153ABC-Brasil F 0046 0029 0079 0014 0813 0003 -5935Dresdner F 0055 0014 0212 0052 0822 0005 -3913AGF Braseg F 0046 0027 0071 0014 0806 0005 -4276HSBC F 0053 0032 0101 0019 0949 0007 -784Deutsche F 0058 0013 0141 0029 0863 0005 -2878BNP Paribas F 0051 0030 0074 0012 0818 0004 -4118Barclays F 0066 0025 0130 0030 0805 0005 -4123Rabobank Int Brasil SA F 0049 0019 0109 0018 0844 0003 -4752B Nat de Paris Brasil SA F 0041 0019 0069 0018 0817 0005 -3368Ibibank SA - Banco Multiplo F 0046 0010 0095 0021 0781 0014 -1617Dresdner Bank - B Multiplo F 0093 0017 0282 0072 0782 0008 -2899Banco Westlb Do Brasil SA F 0044 0027 0069 0015 0850 0009 -1591Banco GE Capital SA F 0055 0026 0249 0046 0859 0009 -1489B Com Uruguai SA F 0071 0017 0228 0056 0845 0003 -46241S - State-owned bank N - National bank and F - Foreign bank

46

Table A9 Estimates of Lerner index and return to scale by bank - Model (4)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0054 0041 0078 0011 0939 0007 -873Banrisul S 0055 0040 0106 0014 0948 0008 -692BEC S 0046 0020 0072 0014 0846 0009 -1746BRB S 0057 0032 0094 0016 0959 0002 -1673BB S 0057 0038 0095 0014 0981 0006 -33Caixa Economica Federal S 0061 0049 0165 0021 1042 0003 1249B da Amazonia SA S 0056 0015 0117 0022 0844 0008 -2047B do Estado Do Para SA S 0059 0025 0103 0020 0936 0004 -1701B do E Do Maranhao SA S 0052 0044 0062 0005 0936 0014 -448B do E Do Piauı SA - Bep S 0054 0029 0147 0028 0865 0004 -3201B do Estado De Sergipe SA S 0061 0023 0168 0026 0947 0004 -1484Nossa Caixa - N Banco SA S 0054 0035 0085 0012 0977 0004 -547Bradesco N 0056 0036 0107 0017 0919 0004 -2123Itau N 0058 0030 0212 0032 0896 0003 -3979Safra N 0052 0035 0107 0013 0882 0003 -445Unibanco N 0052 0035 0082 0013 0892 0001 -7446Mercantil Do Brasil N 0057 0027 0093 0015 0942 0002 -2687BBM N 0075 0015 0294 0064 0784 0005 -4512BMC N 0050 0029 0074 0011 0846 0003 -472BMG N 0065 0016 0202 0047 0779 0003 -7192JMalucelli N 0048 0022 0071 0014 0720 0003 -8923PEBB N 0061 0016 0172 0044 0704 0008 -382SS N 0056 0033 0213 0037 0799 0007 -2875Sofisa N 0053 0020 0087 0019 0805 0002 -9731BIC N 0061 0033 0269 0048 0854 0005 -2768Schahin N 0053 0027 0205 0034 0836 0006 -2627Stock N 0081 0020 0265 0068 0820 0006 -3122Pine N 0052 0022 0118 0021 0808 0004 -5467Socopa N 0054 0026 0114 0016 0888 0003 -3785Intercap N 0057 0023 0203 0035 0815 0006 -2877Indusval N 0062 0029 0239 0043 0857 0005 -3085Bonsucesso N 0052 0019 0088 0018 0782 0005 -403Industrial do Brasil N 0050 0030 0076 0015 0809 0002 -9427Votorantim N 0051 0036 0102 0017 0817 0008 -2222Cacique N 0050 0023 0067 0013 0776 0005 -4659Inter Amex N 0052 0035 0064 0009 0837 0007 -2226Alfa N 0048 0039 0071 0007 0805 0002 -11484Rendimento N 0052 0022 0076 0013 0874 0008 -1571Bancoob N 0057 0045 0071 0011 0855 0003 -5022Original N 0094 0017 0278 0090 0730 0006 -4242Banco Intermedium SA N 0049 0027 0065 0014 0746 0006 -4054

Table A9 ndash Continue on next page

47

Table A9 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0019 0220 0050 0764 0003 -7516Banco BBN SA N 0050 0027 0072 0013 0819 0012 -1529B Cooperativo Sicredi SA N 0051 0041 0068 0006 0875 0005 -2551B Cooperativo do Brasil SA N 0053 0044 0134 0018 0910 0006 -151Banco Topazio SA N 0066 0035 0128 0036 0837 0005 -2981Banco Gerador SA N 0082 0045 0157 0043 0854 0007 -1967Banco Randon SA N 0106 0026 0312 0105 0786 0005 -4204Parana Banco SA N 0048 0025 0102 0018 0787 0008 -2768Banco Triangulo SA N 0054 0027 0088 0021 0834 0004 -427Banco Guanabara SA N 0051 0023 0161 0025 0780 0004 -5659Banco Cedula SA N 0069 0012 0360 0065 0735 0003 -1028Banco Cacique SA N 0073 0027 0240 0075 0786 0016 -1327Banco Luso Brasileiro SA N 0065 0026 0242 0047 0852 0004 -346Banco Pecunia SA N 0045 0037 0056 0006 0773 0003 -7139Banco Zogbi SA N 0048 0036 0064 0010 0779 0001 -15057Banco Daycoval SA N 0055 0022 0126 0030 0784 0004 -568Banco John Deere SA N 0056 0018 0125 0031 0757 0003 -8084Banco AJ Renner SA N 0051 0025 0077 0013 0829 0006 -2763ABN Amro F 0053 0038 0074 0013 0909 0002 -4803Chase F 0066 0014 0220 0046 0793 0008 -2711LLoyds F 0050 0026 0060 0011 0825 0003 -5323BankBoston F 0054 0038 0092 0018 0899 0006 -1734Santander Brasil F 0056 0033 0098 0019 0885 0007 -1529Citibank F 0059 0025 0145 0030 0872 0003 -421BNL F 0052 0039 0091 0018 0840 0006 -2854Sudameris F 0053 0046 0062 0005 0961 0011 -352Societe Generale F 0058 0023 0144 0028 0827 0006 -2968Europeu F 0052 0031 0069 0012 0849 0007 -23ABC-Brasil F 0051 0028 0091 0015 0815 0003 -6225Dresdner F 0078 0017 0271 0071 0816 0005 -339AGF Braseg F 0050 0030 0094 0015 0797 0004 -4873HSBC F 0057 0045 0116 0016 0966 0006 -562Deutsche F 0066 0013 0151 0034 0858 0004 -3316BNP Paribas F 0050 0036 0071 0010 0823 0005 -3772Barclays F 0057 0024 0102 0025 0777 0007 -3003Rabobank Int Brasil SA F 0057 0021 0157 0026 0842 0003 -5266B Nat de Paris Brasil SA F 0059 0023 0102 0030 0812 0006 -3387Ibibank SA - Banco Multiplo F 0056 0012 0100 0023 0781 0015 -148Dresdner Bank - B Multiplo F 0084 0016 0237 0064 0771 0008 -2798Banco Westlb Do Brasil SA F 0061 0033 0101 0025 0841 0010 -1646Banco GE Capital SA F 0063 0031 0238 0044 0853 0010 -1548B Com Uruguai SA F 0074 0020 0226 0056 0833 0003 -51921S - State-owned bank N - National bank and F - Foreign bank

48

Table A10 Estimates of Lerner index and return to scale by bank - Model (5)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0043 0093 0012 0940 0007 -834Banrisul S 0054 0041 0083 0009 0949 0008 -668BEC S 0046 0020 0075 0014 0846 0009 -1719BRB S 0058 0032 0121 0017 0960 0002 -1607BB S 0056 0037 0087 0010 0981 0006 -321Caixa Economica Federal S 0061 0050 0156 0019 1044 0003 1282B da Amazonia SA S 0057 0016 0115 0023 0843 0008 -2023B do Estado Do Para SA S 0059 0027 0102 0020 0938 0004 -1608B do E Do Maranhao SA S 0052 0042 0064 0006 0939 0015 -418B do E Do Piauı SA - Bep S 0054 0029 0138 0025 0866 0004 -3097B do Estado De Sergipe SA S 0059 0024 0136 0020 0949 0004 -1404Nossa Caixa - N Banco SA S 0055 0036 0088 0013 0979 0004 -494Bradesco N 0056 0037 0108 0016 0918 0004 -2108Itau N 0058 0031 0213 0033 0894 0003 -3968Safra N 0052 0036 0086 0010 0881 0003 -4388Unibanco N 0053 0037 0085 0013 0892 0001 -7433Mercantil Do Brasil N 0057 0027 0086 0012 0943 0002 -2619BBM N 0075 0015 0292 0063 0784 0005 -447BMC N 0050 0029 0077 0012 0846 0003 -4648BMG N 0067 0017 0220 0051 0777 0003 -7116JMalucelli N 0049 0022 0083 0016 0718 0003 -8879PEBB N 0060 0017 0176 0044 0704 0008 -3743SS N 0059 0032 0223 0041 0798 0007 -2847Sofisa N 0055 0021 0112 0022 0804 0002 -9624BIC N 0060 0032 0238 0041 0853 0005 -2725Schahin N 0055 0028 0228 0038 0836 0006 -2575Stock N 0082 0019 0267 0068 0821 0006 -3063Pine N 0052 0022 0096 0018 0808 0004 -5392Socopa N 0055 0027 0113 0016 0889 0003 -3694Intercap N 0060 0023 0210 0037 0814 0006 -2856Indusval N 0062 0029 0245 0044 0857 0005 -3023Bonsucesso N 0053 0020 0113 0022 0781 0005 -3999Industrial do Brasil N 0051 0030 0084 0016 0808 0002 -9274Votorantim N 0052 0037 0130 0022 0816 0008 -2227Cacique N 0049 0024 0065 0012 0775 0005 -4632Inter Amex N 0052 0034 0067 0011 0837 0007 -2236Alfa N 0047 0041 0056 0004 0804 0002 -11448Rendimento N 0053 0022 0079 0011 0874 0008 -1549Bancoob N 0056 0050 0064 0005 0856 0003 -4874Original N 0087 0018 0288 0093 0728 0006 -4259Banco Intermedium SA N 0055 0027 0078 0019 0744 0006 -4047

Table A10 ndash Continue on next page

49

Table A10 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0217 0048 0763 0003 -7417Banco BBN SA N 0051 0026 0075 0014 0820 0012 -1504B Cooperativo Sicredi SA N 0051 0040 0061 0005 0876 0005 -2499B Cooperativo do Brasil SA N 0054 0043 0136 0019 0912 0006 -1445Banco Topazio SA N 0061 0034 0109 0026 0838 0006 -2897Banco Gerador SA N 0073 0052 0124 0026 0855 0008 -1918Banco Randon SA N 0120 0024 0327 0114 0785 0005 -4153Parana Banco SA N 0048 0026 0106 0020 0786 0008 -2732Banco Triangulo SA N 0055 0027 0111 0022 0834 0004 -4227Banco Guanabara SA N 0052 0024 0153 0024 0779 0004 -5589Banco Cedula SA N 0069 0012 0339 0062 0734 0003 -10232Banco Cacique SA N 0076 0027 0246 0076 0785 0016 -1317Banco Luso Brasileiro SA N 0067 0027 0207 0047 0852 0004 -3379Banco Pecunia SA N 0046 0038 0054 0006 0773 0003 -71Banco Zogbi SA N 0047 0037 0061 0010 0778 0001 -14931Banco Daycoval SA N 0054 0022 0126 0026 0782 0004 -5661Banco John Deere SA N 0056 0018 0129 0031 0756 0003 -8043Banco AJ Renner SA N 0053 0025 0080 0015 0829 0006 -2716ABN Amro F 0053 0038 0074 0012 0908 0002 -4751Chase F 0067 0014 0225 0047 0792 0008 -2693LLoyds F 0049 0025 0064 0012 0824 0003 -5227BankBoston F 0054 0037 0096 0020 0899 0006 -1701Santander Brasil F 0057 0033 0103 0019 0884 0008 -1511Citibank F 0059 0026 0154 0028 0871 0003 -4204BNL F 0052 0037 0097 0020 0840 0006 -28Sudameris F 0052 0045 0058 0005 0962 0011 -334Societe Generale F 0060 0023 0151 0031 0827 0006 -2924Europeu F 0050 0032 0066 0012 0849 0007 -2263ABC-Brasil F 0051 0025 0079 0014 0814 0003 -617Dresdner F 0080 0017 0276 0073 0816 0005 -3374AGF Braseg F 0050 0031 0093 0015 0796 0004 -4812HSBC F 0057 0043 0093 0011 0966 0006 -541Deutsche F 0066 0013 0155 0035 0858 0004 -3244BNP Paribas F 0050 0035 0067 0008 0822 0005 -3775Barclays F 0056 0024 0113 0025 0778 0007 -305Rabobank Int Brasil SA F 0057 0021 0163 0027 0842 0003 -5208B Nat de Paris Brasil SA F 0058 0022 0100 0029 0812 0006 -3343Ibibank SA - Banco Multiplo F 0057 0012 0099 0023 0780 0015 -1478Dresdner Bank - B Multiplo F 0087 0016 0244 0068 0770 0008 -2768Banco Westlb Do Brasil SA F 0063 0034 0106 0026 0841 0010 -1625Banco GE Capital SA F 0064 0032 0247 0046 0853 0010 -1522B Com Uruguai SA F 0073 0019 0191 0049 0833 0003 -50981S - State-owned bank N - National bank and F - Foreign bank

50

Table A11 Estimates of Lerner index and return to scale by bank - Model (6)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0036 0096 0015 0939 0007 -855Banrisul S 0050 0035 0098 0014 0938 0008 -82BEC S 0041 0019 0067 0012 0855 0009 -1644BRB S 0053 0029 0124 0018 0956 0002 -1996BB S 0051 0032 0088 0013 0954 0006 -807Caixa Economica Federal S 0054 0040 0094 0012 1014 0003 475B da Amazonia SA S 0053 0015 0103 0022 0846 0008 -205B do Estado Do Para SA S 0051 0028 0074 0013 0943 0004 -1319B do E Do Maranhao SA S 0041 0031 0059 0008 0950 0014 -346B do E Do Piauı SA - Bep S 0042 0028 0084 0012 0879 0004 -2727B do Estado De Sergipe SA S 0052 0022 0153 0022 0953 0003 -1377Nossa Caixa - N Banco SA S 0047 0032 0081 0014 0969 0004 -74Bradesco N 0052 0032 0097 0019 0898 0004 -2645Itau N 0054 0027 0190 0031 0877 0003 -4452Safra N 0049 0032 0100 0015 0872 0003 -5056Unibanco N 0043 0032 0067 0010 0878 0001 -8666Mercantil Do Brasil N 0053 0026 0087 0017 0938 0002 -3104BBM N 0066 0013 0251 0056 0792 0005 -4556BMC N 0041 0026 0069 0011 0850 0003 -4582BMG N 0067 0016 0228 0057 0781 0003 -6611JMalucelli N 0051 0022 0089 0017 0725 0003 -9344PEBB N 0046 0015 0157 0039 0728 0008 -3313SS N 0058 0025 0230 0046 0801 0007 -292Sofisa N 0053 0020 0119 0025 0809 0002 -8846BIC N 0060 0029 0262 0049 0852 0005 -2697Schahin N 0049 0025 0229 0040 0843 0006 -2523Stock N 0081 0017 0284 0072 0836 0005 -2986Pine N 0049 0021 0112 0019 0812 0004 -5267Socopa N 0050 0026 0095 0015 0900 0003 -3515Intercap N 0055 0021 0196 0035 0828 0006 -2899Indusval N 0061 0029 0262 0049 0863 0005 -2762Bonsucesso N 0052 0019 0123 0026 0791 0005 -3885Industrial do Brasil N 0046 0027 0088 0015 0816 0002 -8698Votorantim N 0051 0027 0139 0027 0813 0007 -262Cacique N 0039 0022 0050 0009 0784 0005 -4707Inter Amex N 0045 0027 0064 0012 0843 0006 -2493Alfa N 0044 0033 0068 0009 0805 0002 -12111Rendimento N 0050 0022 0073 0010 0883 0008 -1543Bancoob N 0066 0055 0072 0007 0856 0003 -4559Original N 0098 0020 0294 0094 0735 0006 -4509Banco Intermedium SA N 0057 0024 0085 0022 0756 0006 -4324

Table A11 ndash Continue on next page

51

Table A11 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0061 0017 0195 0048 0777 0003 -7233Banco BBN SA N 0042 0023 0059 0012 0831 0011 -1529B Cooperativo Sicredi SA N 0048 0035 0066 0009 0879 0005 -2672B Cooperativo do Brasil SA N 0046 0034 0119 0017 0917 0006 -1439Banco Topazio SA N 0070 0031 0129 0036 0853 0005 -2776Banco Gerador SA N 0086 0057 0148 0034 0867 0007 -1825Banco Randon SA N 0126 0028 0331 0114 0799 0005 -4136Parana Banco SA N 0039 0023 0082 0015 0798 0008 -2556Banco Triangulo SA N 0052 0025 0116 0025 0840 0004 -4363Banco Guanabara SA N 0048 0021 0100 0019 0792 0004 -5683Banco Cedula SA N 0067 0013 0356 0067 0749 0002 -10205Banco Cacique SA N 0067 0026 0232 0073 0792 0015 -1356Banco Luso Brasileiro SA N 0065 0025 0237 0052 0864 0004 -3163Banco Pecunia SA N 0037 0029 0045 0006 0786 0003 -7158Banco Zogbi SA N 0037 0027 0045 0007 0785 0002 -13921Banco Daycoval SA N 0053 0020 0120 0031 0787 0003 -6088Banco John Deere SA N 0043 0017 0099 0022 0764 0003 -8346Banco AJ Renner SA N 0050 0025 0080 0013 0840 0006 -2706ABN Amro F 0043 0035 0067 0008 0894 0002 -6685Chase F 0059 0014 0189 0040 0803 0007 -2772LLoyds F 0039 0021 0055 0012 0824 0003 -5536BankBoston F 0044 0029 0075 0015 0890 0006 -1965Santander Brasil F 0054 0028 0107 0024 0871 0008 -1694Citibank F 0054 0023 0133 0026 0863 0003 -4787BNL F 0042 0028 0078 0018 0843 0005 -2998Sudameris F 0041 0036 0052 0006 0948 0010 -491Societe Generale F 0054 0020 0118 0025 0834 0006 -2716Europeu F 0038 0029 0049 0008 0856 0006 -2239ABC-Brasil F 0046 0028 0084 0014 0816 0003 -6111Dresdner F 0063 0015 0239 0061 0823 0005 -3888AGF Braseg F 0047 0027 0074 0014 0807 0004 -4477HSBC F 0054 0032 0109 0018 0950 0006 -823Deutsche F 0058 0013 0122 0028 0863 0004 -305BNP Paribas F 0051 0032 0070 0011 0822 0004 -4145Barclays F 0064 0024 0128 0029 0802 0005 -4051Rabobank Int Brasil SA F 0051 0019 0130 0021 0846 0003 -4992B Nat de Paris Brasil SA F 0043 0019 0070 0019 0819 0005 -3429Ibibank SA - Banco Multiplo F 0049 0010 0083 0020 0785 0013 -161Dresdner Bank - B Multiplo F 0087 0016 0261 0066 0783 0007 -2901Banco Westlb Do Brasil SA F 0051 0030 0082 0019 0850 0009 -1643Banco GE Capital SA F 0053 0028 0239 0044 0859 0009 -1544B Com Uruguai SA F 0071 0017 0217 0054 0845 0003 -48451S - State-owned bank N - National bank and F - Foreign bank

52

Seacuterie de Textos para Discussatildeo do Curso de Ciecircncias Econocircmicas ndash FACEUFG ndash TD [078]

EDITORIAL FACE ndash Faculdade de Administraccedilatildeo Ciecircncias Contaacutebeis e Ciecircncias Econocircmicas Curso de Ciecircncias Econocircmicas Direccedilatildeo FACE Prof Moiseacutes Ferreira da Cunha Vice-Direccedilatildeo FACE Profordf Andreacutea Freire de Lucena Coordenaccedilatildeo do Curso de Ciecircncias Econocircmicas Prof Tiago Camarinha Lopes NEPEC ndash Nuacutecleo de Estudos e Pesquisas Econocircmicas Coordenaccedilatildeo Prof Seacutergio Fornazier Meyrelles Filho SEacuteRIE DE TEXTOS PARA DISCUSSAtildeO DO CURSO DE CIEcircNCIAS ECONOcircMICAS DA UFG Coordenaccedilatildeo e Equipe de Editoraccedilatildeo Prof Sandro Eduardo Monsueto Adriana Moura Guimaratildees Matheus Henrique de Arauacutejo Dutra

Endereccedilo Campus Samambaia Preacutedio da FACE ndash Rodovia GoiacircniaNova Veneza km 0 ndash CEP 74690-900 Goiacircnia ndash GO Tel (62) 3521 ndash 1390 URL httpwwwfaceufgbreconomia Publicaccedilatildeo cujo objetivo eacute divulgar resultados de estudos que contam com a participaccedilatildeo de pesquisadores do NEPEC As opiniotildees contidas nesta publicaccedilatildeo satildeo de inteira responsabilidade do(s) autor(es) natildeo representando necessariamente o ponto de vista do NEPEC ou da FACEUFG Eacute permitida a reproduccedilatildeo desde que citada a fonte

Page 34: 1(3(& )$&( 8)* · The Dark Side of Prudential MeasuresI Paulo R. Scalco a, Benjamin M. Tabak1, Anderson M. Teixeira aFaculty of Management, Accounting and Economics, Federal University

Figure 3 Frequency distribution of Lerner indexes for each model and density estimation Kernel by typeof control

32

Figure 4 Lerner indexes according to the size (market share) of banksrsquo assets

33

Figure 5 Average Lerner indices for each model between 2000q2 and 2014q4

34

Figure 6 Average Lerner indices estimated for public private national and private foreign banks between2000q2 and 2014q4

35

Figure 7 Frequency distribution of the returns to scale indexes for each model and density estimationKernel by type of control

36

Table 1 Variables used to IDF estimatation

Variabel Description SourceBasic variables

TR Total Revenue = Gross Insterest Income (a) + Bank-ing Service Fee Income (d1) + Banking Fee Income(d2) + Other Operating Income (d7)

Inc statIFData

TC Total Cost = Interest Expenses (b) + Personnel Ex-penses (d3) + Administrative Expenses (d4) + TaxExpenses (d5) + Other Operating Expenses (d8)

Inc statIFData

Y Loan Lease and Other Credit Operations by RiskLevel

SummaryIFData

x1 Personnel Expenses (d3) Inc statIFDatax2 Funding (e) LiabilitiesIFDatax3 Equity (j) LiabilitiesIFData

Model variabelslnRC Log of Revenue-Cost ratiolnY Log of total loanlnx1 Log of personnel expenses and equity ratio (x1x3)lnx2 Log of funding and equity ratio (x2x3)T Time

Prudential variables - Deterministic mark-up parametersHHIt HHIt =

sumS2it where Sit

2 is market share of totalasset of bank i on time t

Inc statIFData

cb cumulative change of capital buffer Cerutti et al (2016)cr cumulative change of capital requirement Cerutti et al (2016)ltv cumulative change of loan-to-value Cerutti et al (2016)

rr foreign cumulative change of reserve requirement (foreigncurrency)

Cerutti et al (2016)

rr local cumulative change of reserve requirement (domesticcurrency)

Cerutti et al (2016)

37

Table 2 Results of IDF estimation

Parameters VariablesEstimates

Model Model Model Model Model Model(1) (2) (3) (4) (5) (6)

Parametros da funcao insumo distanciaαY Y lnY -0013 -0003 -0004 -0012 -0011 -0005

(000) (000) (000) (000) (000) (000)α1Y lnx1 -0096 -0095 -0094 -0094 -0096 -0090

(001) (001) (001) (001) (001) (001)α2Y lnx2 -0019 -0022 -0022 -0019 -0020 -0021

(001) (001) (001) (001) (001) (001)αY T T -0000 -0000 -0000 -0000 -0000 -0000

(000) (000) (000) (000) (000) (000)αY const 1153 1010 1035 1134 1129 1057

(005) (007) (005) (005) (005) (006)

Deterministic Mark-up parametersδ1 HHI 764157

(12270)δ1 Capital

Buffer7586(065)

δ2 CapitalReq

4696(160)

δ1 Loan-to-value38511(671)

δ1 ResR(foreign)10730(433)

δ2 ResR(local)2869(126)

δ1 Cum Prud3237(020)

δ0 const minus10601minus10194minus5306 minus9866 minus8577 minus4993(032) (2064) (316) (079) (119) (122)

Distribution of u and vσ2u 2840 1418 1620 2643 2441 1593σ2v 0118 0121 0120 0118 0118 0120λ 2402 1172 1354 2233 2065 1325Log Lik 887404 922033 918606 896019 891991 907817

EstimatesEstimates of Mark-up (u)Avg 0075 0065 0068 0074 0075 00691st quartile 0052 0038 0051 0051 0051 0044Median 0062 0048 0060 0060 0061 00543st quartile 0080 0074 0079 0079 0079 0075std-dev 0053 0054 0053 0053 0054 0054

Note p lt 010 p lt 005 and p lt 001

38

Table 3 Estimates of Lerner index general and by type of control

EstimatesModel Model Model Model Model Model

(1) (2) (3) (4) (5) (6)Mark-up (L) generalAverage 0058 0051 0053 0057 0058 0053std-dev 0032 0034 0034 0032 0032 00331st quartile 0043 0031 0034 0041 0042 0036Median 0051 0039 0044 0050 0050 00453st quartile 0063 0060 0059 0063 0063 0060Mark-up (L) State-owned banksAverage 0057 0047 0049 0056 0056 0050std-dev 0018 0017 0017 0018 0016 00161st quartile 0047 0035 0038 0045 0046 0040Median 0054 0041 0046 0053 0053 00463st quartile 0064 0056 0056 0064 0063 0057Mark-up (L) National banksAverage 0057 0052 0054 0057 0057 0054std-dev 0034 0038 0038 0035 0035 00371st quartile 0041 0030 0033 0040 0041 0035Median 0050 0038 0043 0048 0049 00443st quartile 0061 0061 0060 0061 0062 0060Mark-up (L) Foreign banksAverage 0061 0050 0053 0059 0060 0054std-dev 0034 0033 0032 0034 0034 00321st quartile 0042 0031 0034 0041 0042 0036Median 0052 0040 0044 0051 0051 00453st quartile 0068 0059 0060 0066 0066 0061

Table 4 Estimates of returns to scale by control type and general

ModelState-owned

banksNational

banksForeignbanks

General std-dev Min Max

1 0944 0824 0842 0848 0073 0665 11242 0940 0829 0843 0851 0066 0690 10733 0938 0827 0842 0849 0066 0689 10764 0941 0824 0842 0848 0071 0671 11115 0942 0824 0841 0848 0072 0669 11136 0937 0829 0844 0850 0065 0692 1073

39

Appendix A Attachment Tables

Table A5 Cumulative change on Prudential Measures intensity

TimeCapitalBuffer 2

(cb)

CapitalReq(cr)

Loan-to-Value(ltv)

Reserve Reqlocal curr

(RR local)

Reserve Reqforeign cur

(RR foreign)

CumulativePrudential 3

(Cum Prud)2000q2 -1 0 0 0 -2 -32000q4 -1 0 0 0 -2 -32001q2 -1 0 0 0 -2 -32001q4 0 0 0 0 -1 -12002q2 0 0 0 0 0 02002q4 2 0 0 0 2 42003q2 0 0 0 0 3 32003q4 0 0 0 0 2 22004q2 0 0 0 0 2 22004q4 0 0 0 0 2 22005q2 0 0 0 0 2 22005q4 0 0 0 0 2 22006q2 0 0 0 0 2 22006q4 0 0 0 0 2 22007q2 2 0 0 0 2 42007q4 2 0 0 0 2 42008q2 2 0 0 0 2 42008q4 2 0 0 0 1 32009q2 2 0 0 0 0 22009q4 2 0 0 0 -1 12010q2 2 0 0 0 1 32010q4 3 0 0 0 3 62011q2 3 0 0 1 3 72011q4 4 0 0 2 3 92012q2 3 1 0 2 3 92012q4 3 1 0 1 2 72013q2 3 2 0 0 2 72013q4 3 2 1 0 2 82014q2 3 2 1 0 2 82014q4 2 2 1 0 3 82Sum of capital buffer and others 3Aggregate measure (It is the sum of the change of all other instrument)

40

Table A6 Estimates of Lerner index and return to scale by bank - Model (1)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0042 0082 0009 0940 0007 -85Banrisul S 0055 0041 0084 0009 0952 0008 -635BEC S 0048 0021 0077 0016 0844 0009 -1756BRB S 0058 0033 0100 0015 0961 0003 -1533BB S 0058 0039 0098 0012 0990 0006 -173Caixa Economica Federal S 0063 0051 0174 0022 1052 0004 1458B da Amazonia SA S 0057 0016 0124 0023 0844 0008 -2028B do Estado Do Para SA S 0061 0026 0110 0022 0936 0004 -1764B do Est do Maranhao SA S 0055 0046 0065 0006 0935 0014 -455B do Est do Piauı SA - Bep S 0057 0030 0155 0029 0862 0004 -326B do Estado De Sergipe SA S 0061 0024 0135 0022 0947 0004 -1453Nossa Caixa - N Banco SA S 0057 0036 0090 0013 0981 0004 -444Bradesco N 0056 0038 0114 0015 0925 0004 -1945Itau N 0059 0031 0220 0033 0901 0003 -3797Safra N 0053 0037 0085 0009 0885 0003 -4215Unibanco N 0055 0037 0088 0014 0897 0001 -7054Mercantil Do Brasil N 0057 0027 0077 0011 0945 0002 -2527BBM N 0076 0016 0300 0065 0783 0005 -4464BMC N 0052 0030 0079 0012 0845 0003 -4703BMG N 0065 0017 0208 0045 0779 0003 -729JMalucelli N 0047 0022 0069 0013 0718 0003 -8765PEBB N 0065 0017 0181 0047 0698 0008 -3914SS N 0057 0034 0220 0037 0799 0007 -2839Sofisa N 0054 0021 0092 0020 0804 0002 -9903BIC N 0060 0034 0236 0040 0855 0005 -276Schahin N 0056 0028 0214 0035 0835 0006 -262Stock N 0081 0020 0267 0067 0817 0006 -3107Pine N 0052 0022 0108 0019 0808 0004 -545Socopa N 0056 0027 0120 0017 0886 0003 -3806Intercap N 0060 0023 0212 0037 0812 0007 -2851Indusval N 0062 0030 0246 0043 0857 0005 -3139Bonsucesso N 0052 0020 0092 0018 0779 0005 -4033Industrial do Brasil N 0051 0031 0081 0016 0807 0002 -952Votorantim N 0052 0037 0107 0017 0819 0009 -2117Cacique N 0053 0024 0071 0014 0774 0005 -4621Inter Amex N 0055 0037 0068 0010 0837 0008 -2158Alfa N 0048 0041 0059 0005 0806 0002 -11303Rendimento N 0053 0022 0080 0012 0872 0008 -1562Bancoob N 0052 0046 0056 0003 0856 0003 -5061Original N 0085 0017 0279 0090 0729 0007 -4163Banco Intermedium SA N 0052 0028 0070 0015 0743 0006 -3973

Table A6 ndash Continue on next page

41

Table A6 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0225 0049 0761 0003 -7509Banco BBN SA N 0053 0027 0077 0014 0817 0012 -1509B Cooperativo Sicredi SA N 0052 0043 0062 0005 0875 0005 -2477B Cooperativo do Brasil SA N 0056 0046 0142 0020 0910 0006 -1479Banco Topazio SA N 0060 0035 0110 0027 0834 0006 -2966Banco Gerador SA N 0069 0045 0122 0028 0852 0008 -1968Banco Randon SA N 0109 0023 0320 0109 0783 0005 -4158Parana Banco SA N 0050 0026 0108 0020 0784 0008 -2799Banco Triangulo SA N 0055 0028 0091 0020 0833 0004 -4201Banco Guanabara SA N 0052 0024 0169 0025 0777 0004 -5588Banco Cedula SA N 0068 0012 0339 0061 0731 0003 -10236Banco Cacique SA N 0077 0028 0248 0077 0785 0016 -1309B Luso Brasileiro SA N 0065 0027 0208 0043 0849 0004 -349Banco Pecunia SA N 0047 0039 0060 0006 0770 0003 -7086Banco Zogbi SA N 0051 0038 0067 0011 0778 0001 -15193Banco Daycoval SA N 0054 0023 0131 0026 0783 0004 -5522B John Deere SA N 0059 0018 0133 0033 0756 0003 -7955Banco AJ Renner SA N 0053 0025 0081 0015 0827 0006 -2742ABN Amro F 0056 0039 0079 0014 0914 0002 -427Chase F 0068 0014 0228 0049 0790 0008 -2678LLoyds F 0053 0027 0064 0012 0825 0003 -5159BankBoston F 0057 0040 0099 0020 0902 0006 -1638Santander Brasil F 0057 0034 0097 0017 0890 0008 -146Citibank F 0059 0026 0153 0028 0875 0003 -4039BNL F 0055 0041 0097 0019 0840 0006 -2767Sudameris F 0056 0048 0065 0005 0966 0012 -297Societe Generale F 0060 0024 0153 0031 0826 0006 -299Europeu F 0054 0032 0073 0013 0848 0007 -2287ABC-Brasil F 0052 0025 0082 0014 0815 0003 -6207Dresdner F 0083 0017 0280 0074 0815 0006 -3234AGF Braseg F 0051 0031 0100 0016 0794 0004 -4923HSBC F 0057 0046 0092 0010 0971 0006 -466Deutsche F 0068 0013 0160 0036 0857 0004 -3335BNP Paribas F 0050 0037 0068 0007 0824 0005 -3665Barclays F 0052 0024 0089 0021 0771 0008 -2787Rabobank Int Brasil SA F 0058 0022 0166 0028 0842 0003 -5284B Nat de Paris Br SA F 0063 0023 0109 0033 0811 0006 -3331Ibibank SA - Banco Multiplo F 0059 0012 0106 0024 0781 0015 -1441Dresdner Bank - B Multiplo F 0086 0016 0244 0068 0768 0008 -2746Banco Westlb Do Brasil SA F 0064 0034 0108 0027 0839 0010 -1626Banco GE Capital SA F 0067 0032 0247 0047 0852 0010 -1527B Com Uruguai SA F 0072 0020 0192 0049 0830 0003 -52281S - State-owned bank N - National bank and F - Foreign bank

42

Table A7 Estimates of Lerner index and return to scale by bank - Model (2)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0049 0032 0085 0016 0944 0008 -716Banrisul S 0049 0032 0106 0017 0939 0008 -75BEC S 0032 0016 0046 0008 0860 0009 -1489BRB S 0049 0030 0112 0017 0961 0002 -1681BB S 0049 0032 0091 0016 0948 0006 -845Caixa Economica Federal S 0052 0034 0081 0014 1012 0003 382B da Amazonia SA S 0053 0015 0140 0028 0847 0008 -1922B do Estado Do Para SA S 0046 0029 0063 0009 0952 0005 -963B do Est do Maranhao SA S 0036 0029 0045 0005 0963 0016 -235B do Est do Piauı SA - Bep S 0036 0023 0071 0011 0888 0005 -2314B do Estado De Sergipe SA S 0050 0020 0155 0024 0962 0004 -1043Nossa Caixa - N Banco SA S 0039 0027 0074 0011 0972 0005 -601Bradesco N 0050 0028 0116 0023 0890 0004 -2618Itau N 0052 0024 0222 0037 0869 0003 -4269Safra N 0046 0028 0100 0017 0867 0003 -5042Unibanco N 0035 0028 0054 0007 0873 0001 -8511Mercantil Do Brasil N 0051 0029 0093 0019 0941 0002 -2837BBM N 0063 0012 0213 0048 0790 0005 -4494BMC N 0034 0023 0049 0007 0851 0003 -4266BMG N 0065 0015 0233 0057 0776 0004 -6135JMalucelli N 0052 0018 0080 0016 0720 0003 -9566PEBB N 0037 0014 0108 0025 0732 0009 -3086SS N 0056 0024 0236 0046 0797 0007 -2849Sofisa N 0052 0018 0107 0028 0808 0002 -8115BIC N 0057 0026 0259 0050 0850 0006 -2531Schahin N 0047 0022 0225 0041 0845 0007 -2359Stock N 0078 0017 0287 0071 0843 0006 -2782Pine N 0048 0018 0114 0023 0811 0004 -4973Socopa N 0050 0022 0136 0024 0908 0003 -3089Intercap N 0051 0019 0133 0031 0832 0006 -2759Indusval N 0061 0023 0267 0052 0866 0006 -2437Bonsucesso N 0050 0017 0109 0026 0791 0006 -3655Industrial do Brasil N 0044 0024 0079 0015 0816 0002 -8095Votorantim N 0048 0025 0120 0026 0807 0007 -2721Cacique N 0033 0020 0039 0006 0782 0005 -4597Inter Amex N 0035 0025 0045 0007 0844 0006 -2419Alfa N 0042 0029 0069 0013 0801 0002 -12139Rendimento N 0049 0019 0077 0015 0889 0008 -1394Bancoob N 0065 0057 0073 0006 0855 0003 -4199Original N 0099 0019 0299 0096 0732 0006 -4473Banco Intermedium SA N 0062 0032 0081 0019 0754 0006 -4393

Table A7 ndash Continue on next page

43

Table A7 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0059 0016 0239 0051 0778 0003 -6944Banco BBN SA N 0035 0020 0053 0009 0834 0011 -1466B Cooperativo Sicredi SA N 0045 0032 0070 0011 0881 0005 -2581B Cooperativo do Brasil SA N 0045 0029 0147 0025 0922 0006 -1274Banco Topazio SA N 0076 0043 0138 0038 0861 0005 -2569Banco Gerador SA N 0089 0054 0153 0037 0874 0008 -1645Banco Randon SA N 0122 0029 0335 0113 0803 0005 -388Parana Banco SA N 0033 0020 0062 0011 0800 0009 -234Banco Triangulo SA N 0052 0022 0105 0027 0841 0004 -4148Banco Guanabara SA N 0046 0019 0091 0020 0793 0004 -5561Banco Cedula SA N 0062 0011 0359 0067 0749 0003 -9911Banco Cacique SA N 0049 0020 0157 0048 0791 0016 -1315Banco Luso Brasileiro SA N 0066 0022 0241 0055 0870 0005 -2851Banco Pecunia SA N 0032 0027 0036 0003 0787 0003 -6876Banco Zogbi SA N 0032 0026 0037 0005 0784 0002 -13006Banco Daycoval SA N 0053 0019 0139 0036 0784 0004 -6065Banco John Deere SA N 0035 0016 0073 0016 0761 0003 -8278Banco AJ Renner SA N 0047 0021 0083 0015 0844 0006 -2553ABN Amro F 0035 0027 0047 0006 0889 0002 -7231Chase F 0054 0013 0157 0033 0804 0007 -2702LLoyds F 0033 0020 0043 0008 0821 0003 -5429BankBoston F 0036 0026 0060 0011 0888 0006 -1917Santander Brasil F 0055 0025 0115 0030 0864 0008 -1647Citibank F 0051 0020 0132 0025 0860 0003 -4735BNL F 0036 0026 0062 0012 0843 0005 -2959Sudameris F 0036 0031 0040 0004 0949 0011 -468Societe Generale F 0051 0018 0104 0024 0835 0007 -2454Europeu F 0034 0025 0041 0006 0859 0007 -2076ABC-Brasil F 0043 0026 0086 0015 0813 0003 -5797Dresdner F 0050 0014 0190 0046 0824 0004 -3975AGF Braseg F 0044 0024 0068 0014 0810 0005 -4109HSBC F 0052 0031 0110 0021 0948 0007 -776Deutsche F 0054 0012 0166 0030 0866 0005 -2754BNP Paribas F 0049 0028 0073 0013 0818 0004 -4092Barclays F 0065 0028 0121 0027 0811 0005 -4028Rabobank Int Brasil SA F 0047 0017 0102 0017 0845 0003 -4605B Nat de Paris Brasil SA F 0036 0017 0054 0013 0819 0005 -3304Ibibank SA - Banco Multiplo F 0043 0010 0114 0025 0782 0013 -1623Dresdner Bank - B Multiplo F 0096 0015 0270 0076 0785 0007 -2924Banco Westlb Do Brasil SA F 0041 0026 0062 0013 0853 0010 -154Banco GE Capital SA F 0054 0026 0253 0049 0862 0010 -1444B Com Uruguai SA F 0070 0017 0220 0058 0849 0003 -4471S - State-owned bank N - National bank and F - Foreign bank

44

Table A8 Estimates of Lerner index and return to scale by bank - Model (3)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0034 0090 0016 0941 0008 -772Banrisul S 0051 0032 0108 0016 0938 0008 -772BEC S 0035 0018 0051 0009 0856 0009 -1562BRB S 0052 0032 0122 0018 0958 0002 -1793BB S 0052 0035 0085 0015 0951 0006 -809Caixa Economica Federal S 0054 0039 0098 0014 1015 0003 465B da Amazonia SA S 0053 0014 0113 0024 0845 0008 -1977B do Estado Do Para SA S 0049 0028 0071 0010 0947 0005 -1117B do E do Maranhao SA S 0041 0032 0059 0008 0957 0015 -285B do E do Piauı SA - Bep S 0041 0028 0086 0014 0882 0005 -2518B do Estado De Sergipe SA S 0052 0021 0145 0022 0957 0004 -1182Nossa Caixa - N Banco SA S 0045 0029 0081 0015 0971 0005 -651Bradesco N 0052 0029 0101 0021 0893 0004 -2614Itau N 0054 0025 0203 0034 0872 0003 -4328Safra N 0048 0029 0093 0015 0869 0003 -5008Unibanco N 0041 0028 0067 0010 0874 0001 -8514Mercantil Do Brasil N 0053 0026 0095 0018 0939 0002 -29BBM N 0067 0013 0250 0056 0789 0005 -4501BMC N 0038 0024 0069 0010 0849 0003 -4408BMG N 0067 0015 0233 0058 0776 0004 -6374JMalucelli N 0052 0022 0087 0016 0720 0003 -9426PEBB N 0045 0014 0158 0040 0727 0009 -3192SS N 0057 0025 0231 0046 0797 0007 -287Sofisa N 0053 0018 0116 0026 0807 0002 -8444BIC N 0059 0030 0250 0049 0850 0006 -2596Schahin N 0048 0023 0220 0038 0842 0007 -2424Stock N 0083 0017 0304 0077 0838 0006 -2873Pine N 0049 0019 0105 0020 0810 0004 -5103Socopa N 0050 0026 0111 0018 0903 0003 -3253Intercap N 0055 0020 0196 0036 0828 0006 -283Indusval N 0062 0029 0282 0052 0863 0005 -2588Bonsucesso N 0051 0017 0118 0025 0789 0006 -3771Industrial do Brasil N 0046 0025 0086 0015 0815 0002 -8341Votorantim N 0050 0027 0128 0027 0809 0007 -2664Cacique N 0037 0020 0048 0009 0781 0005 -4645Inter Amex N 0039 0026 0058 0009 0842 0006 -2468Alfa N 0044 0031 0072 0011 0801 0002 -11998Rendimento N 0049 0022 0078 0011 0885 0008 -1463Bancoob N 0066 0057 0077 0007 0854 0003 -4342Original N 0102 0019 0301 0096 0730 0006 -4526Banco Intermedium SA N 0059 0027 0083 0020 0752 0006 -4354

Table A8 ndash Continue on next page

45

Table A8 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0017 0217 0054 0776 0003 -7084Banco BBN SA N 0038 0022 0058 0010 0831 0011 -1492B Cooperativo Sicredi SA N 0047 0035 0071 0010 0879 0005 -259B Cooperativo do Brasil SA N 0046 0035 0128 0020 0919 0006 -1339Banco Topazio SA N 0075 0036 0153 0041 0855 0005 -2657Banco Gerador SA N 0091 0057 0144 0034 0869 0008 -173Banco Randon SA N 0124 0029 0332 0112 0799 0005 -4023Parana Banco SA N 0036 0021 0071 0012 0797 0008 -2452Banco Triangulo SA N 0053 0023 0115 0027 0839 0004 -4256Banco Guanabara SA N 0047 0020 0100 0019 0790 0004 -561Banco Cedula SA N 0066 0012 0362 0068 0747 0003 -10082Banco Cacique SA N 0063 0026 0231 0074 0789 0016 -1336Banco Luso Brasileiro SA N 0066 0026 0249 0053 0865 0005 -2985Banco Pecunia SA N 0034 0029 0041 0004 0784 0003 -7038Banco Zogbi SA N 0036 0027 0046 0006 0782 0002 -13399Banco Daycoval SA N 0054 0019 0131 0034 0784 0004 -607Banco John Deere SA N 0039 0015 0083 0018 0761 0003 -8316Banco AJ Renner SA N 0049 0024 0073 0013 0840 0006 -2621ABN Amro F 0041 0030 0066 0009 0890 0002 -6866Chase F 0059 0013 0173 0039 0801 0007 -2733LLoyds F 0038 0021 0055 0010 0821 0003 -5484BankBoston F 0040 0028 0063 0012 0888 0006 -1931Santander Brasil F 0056 0028 0107 0027 0866 0008 -1663Citibank F 0052 0022 0123 0023 0860 0003 -4735BNL F 0039 0028 0063 0014 0841 0005 -2966Sudameris F 0041 0036 0052 0006 0948 0011 -473Societe Generale F 0052 0020 0103 0022 0833 0006 -2579Europeu F 0038 0030 0049 0007 0856 0007 -2153ABC-Brasil F 0046 0029 0079 0014 0813 0003 -5935Dresdner F 0055 0014 0212 0052 0822 0005 -3913AGF Braseg F 0046 0027 0071 0014 0806 0005 -4276HSBC F 0053 0032 0101 0019 0949 0007 -784Deutsche F 0058 0013 0141 0029 0863 0005 -2878BNP Paribas F 0051 0030 0074 0012 0818 0004 -4118Barclays F 0066 0025 0130 0030 0805 0005 -4123Rabobank Int Brasil SA F 0049 0019 0109 0018 0844 0003 -4752B Nat de Paris Brasil SA F 0041 0019 0069 0018 0817 0005 -3368Ibibank SA - Banco Multiplo F 0046 0010 0095 0021 0781 0014 -1617Dresdner Bank - B Multiplo F 0093 0017 0282 0072 0782 0008 -2899Banco Westlb Do Brasil SA F 0044 0027 0069 0015 0850 0009 -1591Banco GE Capital SA F 0055 0026 0249 0046 0859 0009 -1489B Com Uruguai SA F 0071 0017 0228 0056 0845 0003 -46241S - State-owned bank N - National bank and F - Foreign bank

46

Table A9 Estimates of Lerner index and return to scale by bank - Model (4)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0054 0041 0078 0011 0939 0007 -873Banrisul S 0055 0040 0106 0014 0948 0008 -692BEC S 0046 0020 0072 0014 0846 0009 -1746BRB S 0057 0032 0094 0016 0959 0002 -1673BB S 0057 0038 0095 0014 0981 0006 -33Caixa Economica Federal S 0061 0049 0165 0021 1042 0003 1249B da Amazonia SA S 0056 0015 0117 0022 0844 0008 -2047B do Estado Do Para SA S 0059 0025 0103 0020 0936 0004 -1701B do E Do Maranhao SA S 0052 0044 0062 0005 0936 0014 -448B do E Do Piauı SA - Bep S 0054 0029 0147 0028 0865 0004 -3201B do Estado De Sergipe SA S 0061 0023 0168 0026 0947 0004 -1484Nossa Caixa - N Banco SA S 0054 0035 0085 0012 0977 0004 -547Bradesco N 0056 0036 0107 0017 0919 0004 -2123Itau N 0058 0030 0212 0032 0896 0003 -3979Safra N 0052 0035 0107 0013 0882 0003 -445Unibanco N 0052 0035 0082 0013 0892 0001 -7446Mercantil Do Brasil N 0057 0027 0093 0015 0942 0002 -2687BBM N 0075 0015 0294 0064 0784 0005 -4512BMC N 0050 0029 0074 0011 0846 0003 -472BMG N 0065 0016 0202 0047 0779 0003 -7192JMalucelli N 0048 0022 0071 0014 0720 0003 -8923PEBB N 0061 0016 0172 0044 0704 0008 -382SS N 0056 0033 0213 0037 0799 0007 -2875Sofisa N 0053 0020 0087 0019 0805 0002 -9731BIC N 0061 0033 0269 0048 0854 0005 -2768Schahin N 0053 0027 0205 0034 0836 0006 -2627Stock N 0081 0020 0265 0068 0820 0006 -3122Pine N 0052 0022 0118 0021 0808 0004 -5467Socopa N 0054 0026 0114 0016 0888 0003 -3785Intercap N 0057 0023 0203 0035 0815 0006 -2877Indusval N 0062 0029 0239 0043 0857 0005 -3085Bonsucesso N 0052 0019 0088 0018 0782 0005 -403Industrial do Brasil N 0050 0030 0076 0015 0809 0002 -9427Votorantim N 0051 0036 0102 0017 0817 0008 -2222Cacique N 0050 0023 0067 0013 0776 0005 -4659Inter Amex N 0052 0035 0064 0009 0837 0007 -2226Alfa N 0048 0039 0071 0007 0805 0002 -11484Rendimento N 0052 0022 0076 0013 0874 0008 -1571Bancoob N 0057 0045 0071 0011 0855 0003 -5022Original N 0094 0017 0278 0090 0730 0006 -4242Banco Intermedium SA N 0049 0027 0065 0014 0746 0006 -4054

Table A9 ndash Continue on next page

47

Table A9 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0019 0220 0050 0764 0003 -7516Banco BBN SA N 0050 0027 0072 0013 0819 0012 -1529B Cooperativo Sicredi SA N 0051 0041 0068 0006 0875 0005 -2551B Cooperativo do Brasil SA N 0053 0044 0134 0018 0910 0006 -151Banco Topazio SA N 0066 0035 0128 0036 0837 0005 -2981Banco Gerador SA N 0082 0045 0157 0043 0854 0007 -1967Banco Randon SA N 0106 0026 0312 0105 0786 0005 -4204Parana Banco SA N 0048 0025 0102 0018 0787 0008 -2768Banco Triangulo SA N 0054 0027 0088 0021 0834 0004 -427Banco Guanabara SA N 0051 0023 0161 0025 0780 0004 -5659Banco Cedula SA N 0069 0012 0360 0065 0735 0003 -1028Banco Cacique SA N 0073 0027 0240 0075 0786 0016 -1327Banco Luso Brasileiro SA N 0065 0026 0242 0047 0852 0004 -346Banco Pecunia SA N 0045 0037 0056 0006 0773 0003 -7139Banco Zogbi SA N 0048 0036 0064 0010 0779 0001 -15057Banco Daycoval SA N 0055 0022 0126 0030 0784 0004 -568Banco John Deere SA N 0056 0018 0125 0031 0757 0003 -8084Banco AJ Renner SA N 0051 0025 0077 0013 0829 0006 -2763ABN Amro F 0053 0038 0074 0013 0909 0002 -4803Chase F 0066 0014 0220 0046 0793 0008 -2711LLoyds F 0050 0026 0060 0011 0825 0003 -5323BankBoston F 0054 0038 0092 0018 0899 0006 -1734Santander Brasil F 0056 0033 0098 0019 0885 0007 -1529Citibank F 0059 0025 0145 0030 0872 0003 -421BNL F 0052 0039 0091 0018 0840 0006 -2854Sudameris F 0053 0046 0062 0005 0961 0011 -352Societe Generale F 0058 0023 0144 0028 0827 0006 -2968Europeu F 0052 0031 0069 0012 0849 0007 -23ABC-Brasil F 0051 0028 0091 0015 0815 0003 -6225Dresdner F 0078 0017 0271 0071 0816 0005 -339AGF Braseg F 0050 0030 0094 0015 0797 0004 -4873HSBC F 0057 0045 0116 0016 0966 0006 -562Deutsche F 0066 0013 0151 0034 0858 0004 -3316BNP Paribas F 0050 0036 0071 0010 0823 0005 -3772Barclays F 0057 0024 0102 0025 0777 0007 -3003Rabobank Int Brasil SA F 0057 0021 0157 0026 0842 0003 -5266B Nat de Paris Brasil SA F 0059 0023 0102 0030 0812 0006 -3387Ibibank SA - Banco Multiplo F 0056 0012 0100 0023 0781 0015 -148Dresdner Bank - B Multiplo F 0084 0016 0237 0064 0771 0008 -2798Banco Westlb Do Brasil SA F 0061 0033 0101 0025 0841 0010 -1646Banco GE Capital SA F 0063 0031 0238 0044 0853 0010 -1548B Com Uruguai SA F 0074 0020 0226 0056 0833 0003 -51921S - State-owned bank N - National bank and F - Foreign bank

48

Table A10 Estimates of Lerner index and return to scale by bank - Model (5)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0043 0093 0012 0940 0007 -834Banrisul S 0054 0041 0083 0009 0949 0008 -668BEC S 0046 0020 0075 0014 0846 0009 -1719BRB S 0058 0032 0121 0017 0960 0002 -1607BB S 0056 0037 0087 0010 0981 0006 -321Caixa Economica Federal S 0061 0050 0156 0019 1044 0003 1282B da Amazonia SA S 0057 0016 0115 0023 0843 0008 -2023B do Estado Do Para SA S 0059 0027 0102 0020 0938 0004 -1608B do E Do Maranhao SA S 0052 0042 0064 0006 0939 0015 -418B do E Do Piauı SA - Bep S 0054 0029 0138 0025 0866 0004 -3097B do Estado De Sergipe SA S 0059 0024 0136 0020 0949 0004 -1404Nossa Caixa - N Banco SA S 0055 0036 0088 0013 0979 0004 -494Bradesco N 0056 0037 0108 0016 0918 0004 -2108Itau N 0058 0031 0213 0033 0894 0003 -3968Safra N 0052 0036 0086 0010 0881 0003 -4388Unibanco N 0053 0037 0085 0013 0892 0001 -7433Mercantil Do Brasil N 0057 0027 0086 0012 0943 0002 -2619BBM N 0075 0015 0292 0063 0784 0005 -447BMC N 0050 0029 0077 0012 0846 0003 -4648BMG N 0067 0017 0220 0051 0777 0003 -7116JMalucelli N 0049 0022 0083 0016 0718 0003 -8879PEBB N 0060 0017 0176 0044 0704 0008 -3743SS N 0059 0032 0223 0041 0798 0007 -2847Sofisa N 0055 0021 0112 0022 0804 0002 -9624BIC N 0060 0032 0238 0041 0853 0005 -2725Schahin N 0055 0028 0228 0038 0836 0006 -2575Stock N 0082 0019 0267 0068 0821 0006 -3063Pine N 0052 0022 0096 0018 0808 0004 -5392Socopa N 0055 0027 0113 0016 0889 0003 -3694Intercap N 0060 0023 0210 0037 0814 0006 -2856Indusval N 0062 0029 0245 0044 0857 0005 -3023Bonsucesso N 0053 0020 0113 0022 0781 0005 -3999Industrial do Brasil N 0051 0030 0084 0016 0808 0002 -9274Votorantim N 0052 0037 0130 0022 0816 0008 -2227Cacique N 0049 0024 0065 0012 0775 0005 -4632Inter Amex N 0052 0034 0067 0011 0837 0007 -2236Alfa N 0047 0041 0056 0004 0804 0002 -11448Rendimento N 0053 0022 0079 0011 0874 0008 -1549Bancoob N 0056 0050 0064 0005 0856 0003 -4874Original N 0087 0018 0288 0093 0728 0006 -4259Banco Intermedium SA N 0055 0027 0078 0019 0744 0006 -4047

Table A10 ndash Continue on next page

49

Table A10 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0217 0048 0763 0003 -7417Banco BBN SA N 0051 0026 0075 0014 0820 0012 -1504B Cooperativo Sicredi SA N 0051 0040 0061 0005 0876 0005 -2499B Cooperativo do Brasil SA N 0054 0043 0136 0019 0912 0006 -1445Banco Topazio SA N 0061 0034 0109 0026 0838 0006 -2897Banco Gerador SA N 0073 0052 0124 0026 0855 0008 -1918Banco Randon SA N 0120 0024 0327 0114 0785 0005 -4153Parana Banco SA N 0048 0026 0106 0020 0786 0008 -2732Banco Triangulo SA N 0055 0027 0111 0022 0834 0004 -4227Banco Guanabara SA N 0052 0024 0153 0024 0779 0004 -5589Banco Cedula SA N 0069 0012 0339 0062 0734 0003 -10232Banco Cacique SA N 0076 0027 0246 0076 0785 0016 -1317Banco Luso Brasileiro SA N 0067 0027 0207 0047 0852 0004 -3379Banco Pecunia SA N 0046 0038 0054 0006 0773 0003 -71Banco Zogbi SA N 0047 0037 0061 0010 0778 0001 -14931Banco Daycoval SA N 0054 0022 0126 0026 0782 0004 -5661Banco John Deere SA N 0056 0018 0129 0031 0756 0003 -8043Banco AJ Renner SA N 0053 0025 0080 0015 0829 0006 -2716ABN Amro F 0053 0038 0074 0012 0908 0002 -4751Chase F 0067 0014 0225 0047 0792 0008 -2693LLoyds F 0049 0025 0064 0012 0824 0003 -5227BankBoston F 0054 0037 0096 0020 0899 0006 -1701Santander Brasil F 0057 0033 0103 0019 0884 0008 -1511Citibank F 0059 0026 0154 0028 0871 0003 -4204BNL F 0052 0037 0097 0020 0840 0006 -28Sudameris F 0052 0045 0058 0005 0962 0011 -334Societe Generale F 0060 0023 0151 0031 0827 0006 -2924Europeu F 0050 0032 0066 0012 0849 0007 -2263ABC-Brasil F 0051 0025 0079 0014 0814 0003 -617Dresdner F 0080 0017 0276 0073 0816 0005 -3374AGF Braseg F 0050 0031 0093 0015 0796 0004 -4812HSBC F 0057 0043 0093 0011 0966 0006 -541Deutsche F 0066 0013 0155 0035 0858 0004 -3244BNP Paribas F 0050 0035 0067 0008 0822 0005 -3775Barclays F 0056 0024 0113 0025 0778 0007 -305Rabobank Int Brasil SA F 0057 0021 0163 0027 0842 0003 -5208B Nat de Paris Brasil SA F 0058 0022 0100 0029 0812 0006 -3343Ibibank SA - Banco Multiplo F 0057 0012 0099 0023 0780 0015 -1478Dresdner Bank - B Multiplo F 0087 0016 0244 0068 0770 0008 -2768Banco Westlb Do Brasil SA F 0063 0034 0106 0026 0841 0010 -1625Banco GE Capital SA F 0064 0032 0247 0046 0853 0010 -1522B Com Uruguai SA F 0073 0019 0191 0049 0833 0003 -50981S - State-owned bank N - National bank and F - Foreign bank

50

Table A11 Estimates of Lerner index and return to scale by bank - Model (6)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0036 0096 0015 0939 0007 -855Banrisul S 0050 0035 0098 0014 0938 0008 -82BEC S 0041 0019 0067 0012 0855 0009 -1644BRB S 0053 0029 0124 0018 0956 0002 -1996BB S 0051 0032 0088 0013 0954 0006 -807Caixa Economica Federal S 0054 0040 0094 0012 1014 0003 475B da Amazonia SA S 0053 0015 0103 0022 0846 0008 -205B do Estado Do Para SA S 0051 0028 0074 0013 0943 0004 -1319B do E Do Maranhao SA S 0041 0031 0059 0008 0950 0014 -346B do E Do Piauı SA - Bep S 0042 0028 0084 0012 0879 0004 -2727B do Estado De Sergipe SA S 0052 0022 0153 0022 0953 0003 -1377Nossa Caixa - N Banco SA S 0047 0032 0081 0014 0969 0004 -74Bradesco N 0052 0032 0097 0019 0898 0004 -2645Itau N 0054 0027 0190 0031 0877 0003 -4452Safra N 0049 0032 0100 0015 0872 0003 -5056Unibanco N 0043 0032 0067 0010 0878 0001 -8666Mercantil Do Brasil N 0053 0026 0087 0017 0938 0002 -3104BBM N 0066 0013 0251 0056 0792 0005 -4556BMC N 0041 0026 0069 0011 0850 0003 -4582BMG N 0067 0016 0228 0057 0781 0003 -6611JMalucelli N 0051 0022 0089 0017 0725 0003 -9344PEBB N 0046 0015 0157 0039 0728 0008 -3313SS N 0058 0025 0230 0046 0801 0007 -292Sofisa N 0053 0020 0119 0025 0809 0002 -8846BIC N 0060 0029 0262 0049 0852 0005 -2697Schahin N 0049 0025 0229 0040 0843 0006 -2523Stock N 0081 0017 0284 0072 0836 0005 -2986Pine N 0049 0021 0112 0019 0812 0004 -5267Socopa N 0050 0026 0095 0015 0900 0003 -3515Intercap N 0055 0021 0196 0035 0828 0006 -2899Indusval N 0061 0029 0262 0049 0863 0005 -2762Bonsucesso N 0052 0019 0123 0026 0791 0005 -3885Industrial do Brasil N 0046 0027 0088 0015 0816 0002 -8698Votorantim N 0051 0027 0139 0027 0813 0007 -262Cacique N 0039 0022 0050 0009 0784 0005 -4707Inter Amex N 0045 0027 0064 0012 0843 0006 -2493Alfa N 0044 0033 0068 0009 0805 0002 -12111Rendimento N 0050 0022 0073 0010 0883 0008 -1543Bancoob N 0066 0055 0072 0007 0856 0003 -4559Original N 0098 0020 0294 0094 0735 0006 -4509Banco Intermedium SA N 0057 0024 0085 0022 0756 0006 -4324

Table A11 ndash Continue on next page

51

Table A11 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0061 0017 0195 0048 0777 0003 -7233Banco BBN SA N 0042 0023 0059 0012 0831 0011 -1529B Cooperativo Sicredi SA N 0048 0035 0066 0009 0879 0005 -2672B Cooperativo do Brasil SA N 0046 0034 0119 0017 0917 0006 -1439Banco Topazio SA N 0070 0031 0129 0036 0853 0005 -2776Banco Gerador SA N 0086 0057 0148 0034 0867 0007 -1825Banco Randon SA N 0126 0028 0331 0114 0799 0005 -4136Parana Banco SA N 0039 0023 0082 0015 0798 0008 -2556Banco Triangulo SA N 0052 0025 0116 0025 0840 0004 -4363Banco Guanabara SA N 0048 0021 0100 0019 0792 0004 -5683Banco Cedula SA N 0067 0013 0356 0067 0749 0002 -10205Banco Cacique SA N 0067 0026 0232 0073 0792 0015 -1356Banco Luso Brasileiro SA N 0065 0025 0237 0052 0864 0004 -3163Banco Pecunia SA N 0037 0029 0045 0006 0786 0003 -7158Banco Zogbi SA N 0037 0027 0045 0007 0785 0002 -13921Banco Daycoval SA N 0053 0020 0120 0031 0787 0003 -6088Banco John Deere SA N 0043 0017 0099 0022 0764 0003 -8346Banco AJ Renner SA N 0050 0025 0080 0013 0840 0006 -2706ABN Amro F 0043 0035 0067 0008 0894 0002 -6685Chase F 0059 0014 0189 0040 0803 0007 -2772LLoyds F 0039 0021 0055 0012 0824 0003 -5536BankBoston F 0044 0029 0075 0015 0890 0006 -1965Santander Brasil F 0054 0028 0107 0024 0871 0008 -1694Citibank F 0054 0023 0133 0026 0863 0003 -4787BNL F 0042 0028 0078 0018 0843 0005 -2998Sudameris F 0041 0036 0052 0006 0948 0010 -491Societe Generale F 0054 0020 0118 0025 0834 0006 -2716Europeu F 0038 0029 0049 0008 0856 0006 -2239ABC-Brasil F 0046 0028 0084 0014 0816 0003 -6111Dresdner F 0063 0015 0239 0061 0823 0005 -3888AGF Braseg F 0047 0027 0074 0014 0807 0004 -4477HSBC F 0054 0032 0109 0018 0950 0006 -823Deutsche F 0058 0013 0122 0028 0863 0004 -305BNP Paribas F 0051 0032 0070 0011 0822 0004 -4145Barclays F 0064 0024 0128 0029 0802 0005 -4051Rabobank Int Brasil SA F 0051 0019 0130 0021 0846 0003 -4992B Nat de Paris Brasil SA F 0043 0019 0070 0019 0819 0005 -3429Ibibank SA - Banco Multiplo F 0049 0010 0083 0020 0785 0013 -161Dresdner Bank - B Multiplo F 0087 0016 0261 0066 0783 0007 -2901Banco Westlb Do Brasil SA F 0051 0030 0082 0019 0850 0009 -1643Banco GE Capital SA F 0053 0028 0239 0044 0859 0009 -1544B Com Uruguai SA F 0071 0017 0217 0054 0845 0003 -48451S - State-owned bank N - National bank and F - Foreign bank

52

Seacuterie de Textos para Discussatildeo do Curso de Ciecircncias Econocircmicas ndash FACEUFG ndash TD [078]

EDITORIAL FACE ndash Faculdade de Administraccedilatildeo Ciecircncias Contaacutebeis e Ciecircncias Econocircmicas Curso de Ciecircncias Econocircmicas Direccedilatildeo FACE Prof Moiseacutes Ferreira da Cunha Vice-Direccedilatildeo FACE Profordf Andreacutea Freire de Lucena Coordenaccedilatildeo do Curso de Ciecircncias Econocircmicas Prof Tiago Camarinha Lopes NEPEC ndash Nuacutecleo de Estudos e Pesquisas Econocircmicas Coordenaccedilatildeo Prof Seacutergio Fornazier Meyrelles Filho SEacuteRIE DE TEXTOS PARA DISCUSSAtildeO DO CURSO DE CIEcircNCIAS ECONOcircMICAS DA UFG Coordenaccedilatildeo e Equipe de Editoraccedilatildeo Prof Sandro Eduardo Monsueto Adriana Moura Guimaratildees Matheus Henrique de Arauacutejo Dutra

Endereccedilo Campus Samambaia Preacutedio da FACE ndash Rodovia GoiacircniaNova Veneza km 0 ndash CEP 74690-900 Goiacircnia ndash GO Tel (62) 3521 ndash 1390 URL httpwwwfaceufgbreconomia Publicaccedilatildeo cujo objetivo eacute divulgar resultados de estudos que contam com a participaccedilatildeo de pesquisadores do NEPEC As opiniotildees contidas nesta publicaccedilatildeo satildeo de inteira responsabilidade do(s) autor(es) natildeo representando necessariamente o ponto de vista do NEPEC ou da FACEUFG Eacute permitida a reproduccedilatildeo desde que citada a fonte

Page 35: 1(3(& )$&( 8)* · The Dark Side of Prudential MeasuresI Paulo R. Scalco a, Benjamin M. Tabak1, Anderson M. Teixeira aFaculty of Management, Accounting and Economics, Federal University

Figure 4 Lerner indexes according to the size (market share) of banksrsquo assets

33

Figure 5 Average Lerner indices for each model between 2000q2 and 2014q4

34

Figure 6 Average Lerner indices estimated for public private national and private foreign banks between2000q2 and 2014q4

35

Figure 7 Frequency distribution of the returns to scale indexes for each model and density estimationKernel by type of control

36

Table 1 Variables used to IDF estimatation

Variabel Description SourceBasic variables

TR Total Revenue = Gross Insterest Income (a) + Bank-ing Service Fee Income (d1) + Banking Fee Income(d2) + Other Operating Income (d7)

Inc statIFData

TC Total Cost = Interest Expenses (b) + Personnel Ex-penses (d3) + Administrative Expenses (d4) + TaxExpenses (d5) + Other Operating Expenses (d8)

Inc statIFData

Y Loan Lease and Other Credit Operations by RiskLevel

SummaryIFData

x1 Personnel Expenses (d3) Inc statIFDatax2 Funding (e) LiabilitiesIFDatax3 Equity (j) LiabilitiesIFData

Model variabelslnRC Log of Revenue-Cost ratiolnY Log of total loanlnx1 Log of personnel expenses and equity ratio (x1x3)lnx2 Log of funding and equity ratio (x2x3)T Time

Prudential variables - Deterministic mark-up parametersHHIt HHIt =

sumS2it where Sit

2 is market share of totalasset of bank i on time t

Inc statIFData

cb cumulative change of capital buffer Cerutti et al (2016)cr cumulative change of capital requirement Cerutti et al (2016)ltv cumulative change of loan-to-value Cerutti et al (2016)

rr foreign cumulative change of reserve requirement (foreigncurrency)

Cerutti et al (2016)

rr local cumulative change of reserve requirement (domesticcurrency)

Cerutti et al (2016)

37

Table 2 Results of IDF estimation

Parameters VariablesEstimates

Model Model Model Model Model Model(1) (2) (3) (4) (5) (6)

Parametros da funcao insumo distanciaαY Y lnY -0013 -0003 -0004 -0012 -0011 -0005

(000) (000) (000) (000) (000) (000)α1Y lnx1 -0096 -0095 -0094 -0094 -0096 -0090

(001) (001) (001) (001) (001) (001)α2Y lnx2 -0019 -0022 -0022 -0019 -0020 -0021

(001) (001) (001) (001) (001) (001)αY T T -0000 -0000 -0000 -0000 -0000 -0000

(000) (000) (000) (000) (000) (000)αY const 1153 1010 1035 1134 1129 1057

(005) (007) (005) (005) (005) (006)

Deterministic Mark-up parametersδ1 HHI 764157

(12270)δ1 Capital

Buffer7586(065)

δ2 CapitalReq

4696(160)

δ1 Loan-to-value38511(671)

δ1 ResR(foreign)10730(433)

δ2 ResR(local)2869(126)

δ1 Cum Prud3237(020)

δ0 const minus10601minus10194minus5306 minus9866 minus8577 minus4993(032) (2064) (316) (079) (119) (122)

Distribution of u and vσ2u 2840 1418 1620 2643 2441 1593σ2v 0118 0121 0120 0118 0118 0120λ 2402 1172 1354 2233 2065 1325Log Lik 887404 922033 918606 896019 891991 907817

EstimatesEstimates of Mark-up (u)Avg 0075 0065 0068 0074 0075 00691st quartile 0052 0038 0051 0051 0051 0044Median 0062 0048 0060 0060 0061 00543st quartile 0080 0074 0079 0079 0079 0075std-dev 0053 0054 0053 0053 0054 0054

Note p lt 010 p lt 005 and p lt 001

38

Table 3 Estimates of Lerner index general and by type of control

EstimatesModel Model Model Model Model Model

(1) (2) (3) (4) (5) (6)Mark-up (L) generalAverage 0058 0051 0053 0057 0058 0053std-dev 0032 0034 0034 0032 0032 00331st quartile 0043 0031 0034 0041 0042 0036Median 0051 0039 0044 0050 0050 00453st quartile 0063 0060 0059 0063 0063 0060Mark-up (L) State-owned banksAverage 0057 0047 0049 0056 0056 0050std-dev 0018 0017 0017 0018 0016 00161st quartile 0047 0035 0038 0045 0046 0040Median 0054 0041 0046 0053 0053 00463st quartile 0064 0056 0056 0064 0063 0057Mark-up (L) National banksAverage 0057 0052 0054 0057 0057 0054std-dev 0034 0038 0038 0035 0035 00371st quartile 0041 0030 0033 0040 0041 0035Median 0050 0038 0043 0048 0049 00443st quartile 0061 0061 0060 0061 0062 0060Mark-up (L) Foreign banksAverage 0061 0050 0053 0059 0060 0054std-dev 0034 0033 0032 0034 0034 00321st quartile 0042 0031 0034 0041 0042 0036Median 0052 0040 0044 0051 0051 00453st quartile 0068 0059 0060 0066 0066 0061

Table 4 Estimates of returns to scale by control type and general

ModelState-owned

banksNational

banksForeignbanks

General std-dev Min Max

1 0944 0824 0842 0848 0073 0665 11242 0940 0829 0843 0851 0066 0690 10733 0938 0827 0842 0849 0066 0689 10764 0941 0824 0842 0848 0071 0671 11115 0942 0824 0841 0848 0072 0669 11136 0937 0829 0844 0850 0065 0692 1073

39

Appendix A Attachment Tables

Table A5 Cumulative change on Prudential Measures intensity

TimeCapitalBuffer 2

(cb)

CapitalReq(cr)

Loan-to-Value(ltv)

Reserve Reqlocal curr

(RR local)

Reserve Reqforeign cur

(RR foreign)

CumulativePrudential 3

(Cum Prud)2000q2 -1 0 0 0 -2 -32000q4 -1 0 0 0 -2 -32001q2 -1 0 0 0 -2 -32001q4 0 0 0 0 -1 -12002q2 0 0 0 0 0 02002q4 2 0 0 0 2 42003q2 0 0 0 0 3 32003q4 0 0 0 0 2 22004q2 0 0 0 0 2 22004q4 0 0 0 0 2 22005q2 0 0 0 0 2 22005q4 0 0 0 0 2 22006q2 0 0 0 0 2 22006q4 0 0 0 0 2 22007q2 2 0 0 0 2 42007q4 2 0 0 0 2 42008q2 2 0 0 0 2 42008q4 2 0 0 0 1 32009q2 2 0 0 0 0 22009q4 2 0 0 0 -1 12010q2 2 0 0 0 1 32010q4 3 0 0 0 3 62011q2 3 0 0 1 3 72011q4 4 0 0 2 3 92012q2 3 1 0 2 3 92012q4 3 1 0 1 2 72013q2 3 2 0 0 2 72013q4 3 2 1 0 2 82014q2 3 2 1 0 2 82014q4 2 2 1 0 3 82Sum of capital buffer and others 3Aggregate measure (It is the sum of the change of all other instrument)

40

Table A6 Estimates of Lerner index and return to scale by bank - Model (1)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0042 0082 0009 0940 0007 -85Banrisul S 0055 0041 0084 0009 0952 0008 -635BEC S 0048 0021 0077 0016 0844 0009 -1756BRB S 0058 0033 0100 0015 0961 0003 -1533BB S 0058 0039 0098 0012 0990 0006 -173Caixa Economica Federal S 0063 0051 0174 0022 1052 0004 1458B da Amazonia SA S 0057 0016 0124 0023 0844 0008 -2028B do Estado Do Para SA S 0061 0026 0110 0022 0936 0004 -1764B do Est do Maranhao SA S 0055 0046 0065 0006 0935 0014 -455B do Est do Piauı SA - Bep S 0057 0030 0155 0029 0862 0004 -326B do Estado De Sergipe SA S 0061 0024 0135 0022 0947 0004 -1453Nossa Caixa - N Banco SA S 0057 0036 0090 0013 0981 0004 -444Bradesco N 0056 0038 0114 0015 0925 0004 -1945Itau N 0059 0031 0220 0033 0901 0003 -3797Safra N 0053 0037 0085 0009 0885 0003 -4215Unibanco N 0055 0037 0088 0014 0897 0001 -7054Mercantil Do Brasil N 0057 0027 0077 0011 0945 0002 -2527BBM N 0076 0016 0300 0065 0783 0005 -4464BMC N 0052 0030 0079 0012 0845 0003 -4703BMG N 0065 0017 0208 0045 0779 0003 -729JMalucelli N 0047 0022 0069 0013 0718 0003 -8765PEBB N 0065 0017 0181 0047 0698 0008 -3914SS N 0057 0034 0220 0037 0799 0007 -2839Sofisa N 0054 0021 0092 0020 0804 0002 -9903BIC N 0060 0034 0236 0040 0855 0005 -276Schahin N 0056 0028 0214 0035 0835 0006 -262Stock N 0081 0020 0267 0067 0817 0006 -3107Pine N 0052 0022 0108 0019 0808 0004 -545Socopa N 0056 0027 0120 0017 0886 0003 -3806Intercap N 0060 0023 0212 0037 0812 0007 -2851Indusval N 0062 0030 0246 0043 0857 0005 -3139Bonsucesso N 0052 0020 0092 0018 0779 0005 -4033Industrial do Brasil N 0051 0031 0081 0016 0807 0002 -952Votorantim N 0052 0037 0107 0017 0819 0009 -2117Cacique N 0053 0024 0071 0014 0774 0005 -4621Inter Amex N 0055 0037 0068 0010 0837 0008 -2158Alfa N 0048 0041 0059 0005 0806 0002 -11303Rendimento N 0053 0022 0080 0012 0872 0008 -1562Bancoob N 0052 0046 0056 0003 0856 0003 -5061Original N 0085 0017 0279 0090 0729 0007 -4163Banco Intermedium SA N 0052 0028 0070 0015 0743 0006 -3973

Table A6 ndash Continue on next page

41

Table A6 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0225 0049 0761 0003 -7509Banco BBN SA N 0053 0027 0077 0014 0817 0012 -1509B Cooperativo Sicredi SA N 0052 0043 0062 0005 0875 0005 -2477B Cooperativo do Brasil SA N 0056 0046 0142 0020 0910 0006 -1479Banco Topazio SA N 0060 0035 0110 0027 0834 0006 -2966Banco Gerador SA N 0069 0045 0122 0028 0852 0008 -1968Banco Randon SA N 0109 0023 0320 0109 0783 0005 -4158Parana Banco SA N 0050 0026 0108 0020 0784 0008 -2799Banco Triangulo SA N 0055 0028 0091 0020 0833 0004 -4201Banco Guanabara SA N 0052 0024 0169 0025 0777 0004 -5588Banco Cedula SA N 0068 0012 0339 0061 0731 0003 -10236Banco Cacique SA N 0077 0028 0248 0077 0785 0016 -1309B Luso Brasileiro SA N 0065 0027 0208 0043 0849 0004 -349Banco Pecunia SA N 0047 0039 0060 0006 0770 0003 -7086Banco Zogbi SA N 0051 0038 0067 0011 0778 0001 -15193Banco Daycoval SA N 0054 0023 0131 0026 0783 0004 -5522B John Deere SA N 0059 0018 0133 0033 0756 0003 -7955Banco AJ Renner SA N 0053 0025 0081 0015 0827 0006 -2742ABN Amro F 0056 0039 0079 0014 0914 0002 -427Chase F 0068 0014 0228 0049 0790 0008 -2678LLoyds F 0053 0027 0064 0012 0825 0003 -5159BankBoston F 0057 0040 0099 0020 0902 0006 -1638Santander Brasil F 0057 0034 0097 0017 0890 0008 -146Citibank F 0059 0026 0153 0028 0875 0003 -4039BNL F 0055 0041 0097 0019 0840 0006 -2767Sudameris F 0056 0048 0065 0005 0966 0012 -297Societe Generale F 0060 0024 0153 0031 0826 0006 -299Europeu F 0054 0032 0073 0013 0848 0007 -2287ABC-Brasil F 0052 0025 0082 0014 0815 0003 -6207Dresdner F 0083 0017 0280 0074 0815 0006 -3234AGF Braseg F 0051 0031 0100 0016 0794 0004 -4923HSBC F 0057 0046 0092 0010 0971 0006 -466Deutsche F 0068 0013 0160 0036 0857 0004 -3335BNP Paribas F 0050 0037 0068 0007 0824 0005 -3665Barclays F 0052 0024 0089 0021 0771 0008 -2787Rabobank Int Brasil SA F 0058 0022 0166 0028 0842 0003 -5284B Nat de Paris Br SA F 0063 0023 0109 0033 0811 0006 -3331Ibibank SA - Banco Multiplo F 0059 0012 0106 0024 0781 0015 -1441Dresdner Bank - B Multiplo F 0086 0016 0244 0068 0768 0008 -2746Banco Westlb Do Brasil SA F 0064 0034 0108 0027 0839 0010 -1626Banco GE Capital SA F 0067 0032 0247 0047 0852 0010 -1527B Com Uruguai SA F 0072 0020 0192 0049 0830 0003 -52281S - State-owned bank N - National bank and F - Foreign bank

42

Table A7 Estimates of Lerner index and return to scale by bank - Model (2)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0049 0032 0085 0016 0944 0008 -716Banrisul S 0049 0032 0106 0017 0939 0008 -75BEC S 0032 0016 0046 0008 0860 0009 -1489BRB S 0049 0030 0112 0017 0961 0002 -1681BB S 0049 0032 0091 0016 0948 0006 -845Caixa Economica Federal S 0052 0034 0081 0014 1012 0003 382B da Amazonia SA S 0053 0015 0140 0028 0847 0008 -1922B do Estado Do Para SA S 0046 0029 0063 0009 0952 0005 -963B do Est do Maranhao SA S 0036 0029 0045 0005 0963 0016 -235B do Est do Piauı SA - Bep S 0036 0023 0071 0011 0888 0005 -2314B do Estado De Sergipe SA S 0050 0020 0155 0024 0962 0004 -1043Nossa Caixa - N Banco SA S 0039 0027 0074 0011 0972 0005 -601Bradesco N 0050 0028 0116 0023 0890 0004 -2618Itau N 0052 0024 0222 0037 0869 0003 -4269Safra N 0046 0028 0100 0017 0867 0003 -5042Unibanco N 0035 0028 0054 0007 0873 0001 -8511Mercantil Do Brasil N 0051 0029 0093 0019 0941 0002 -2837BBM N 0063 0012 0213 0048 0790 0005 -4494BMC N 0034 0023 0049 0007 0851 0003 -4266BMG N 0065 0015 0233 0057 0776 0004 -6135JMalucelli N 0052 0018 0080 0016 0720 0003 -9566PEBB N 0037 0014 0108 0025 0732 0009 -3086SS N 0056 0024 0236 0046 0797 0007 -2849Sofisa N 0052 0018 0107 0028 0808 0002 -8115BIC N 0057 0026 0259 0050 0850 0006 -2531Schahin N 0047 0022 0225 0041 0845 0007 -2359Stock N 0078 0017 0287 0071 0843 0006 -2782Pine N 0048 0018 0114 0023 0811 0004 -4973Socopa N 0050 0022 0136 0024 0908 0003 -3089Intercap N 0051 0019 0133 0031 0832 0006 -2759Indusval N 0061 0023 0267 0052 0866 0006 -2437Bonsucesso N 0050 0017 0109 0026 0791 0006 -3655Industrial do Brasil N 0044 0024 0079 0015 0816 0002 -8095Votorantim N 0048 0025 0120 0026 0807 0007 -2721Cacique N 0033 0020 0039 0006 0782 0005 -4597Inter Amex N 0035 0025 0045 0007 0844 0006 -2419Alfa N 0042 0029 0069 0013 0801 0002 -12139Rendimento N 0049 0019 0077 0015 0889 0008 -1394Bancoob N 0065 0057 0073 0006 0855 0003 -4199Original N 0099 0019 0299 0096 0732 0006 -4473Banco Intermedium SA N 0062 0032 0081 0019 0754 0006 -4393

Table A7 ndash Continue on next page

43

Table A7 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0059 0016 0239 0051 0778 0003 -6944Banco BBN SA N 0035 0020 0053 0009 0834 0011 -1466B Cooperativo Sicredi SA N 0045 0032 0070 0011 0881 0005 -2581B Cooperativo do Brasil SA N 0045 0029 0147 0025 0922 0006 -1274Banco Topazio SA N 0076 0043 0138 0038 0861 0005 -2569Banco Gerador SA N 0089 0054 0153 0037 0874 0008 -1645Banco Randon SA N 0122 0029 0335 0113 0803 0005 -388Parana Banco SA N 0033 0020 0062 0011 0800 0009 -234Banco Triangulo SA N 0052 0022 0105 0027 0841 0004 -4148Banco Guanabara SA N 0046 0019 0091 0020 0793 0004 -5561Banco Cedula SA N 0062 0011 0359 0067 0749 0003 -9911Banco Cacique SA N 0049 0020 0157 0048 0791 0016 -1315Banco Luso Brasileiro SA N 0066 0022 0241 0055 0870 0005 -2851Banco Pecunia SA N 0032 0027 0036 0003 0787 0003 -6876Banco Zogbi SA N 0032 0026 0037 0005 0784 0002 -13006Banco Daycoval SA N 0053 0019 0139 0036 0784 0004 -6065Banco John Deere SA N 0035 0016 0073 0016 0761 0003 -8278Banco AJ Renner SA N 0047 0021 0083 0015 0844 0006 -2553ABN Amro F 0035 0027 0047 0006 0889 0002 -7231Chase F 0054 0013 0157 0033 0804 0007 -2702LLoyds F 0033 0020 0043 0008 0821 0003 -5429BankBoston F 0036 0026 0060 0011 0888 0006 -1917Santander Brasil F 0055 0025 0115 0030 0864 0008 -1647Citibank F 0051 0020 0132 0025 0860 0003 -4735BNL F 0036 0026 0062 0012 0843 0005 -2959Sudameris F 0036 0031 0040 0004 0949 0011 -468Societe Generale F 0051 0018 0104 0024 0835 0007 -2454Europeu F 0034 0025 0041 0006 0859 0007 -2076ABC-Brasil F 0043 0026 0086 0015 0813 0003 -5797Dresdner F 0050 0014 0190 0046 0824 0004 -3975AGF Braseg F 0044 0024 0068 0014 0810 0005 -4109HSBC F 0052 0031 0110 0021 0948 0007 -776Deutsche F 0054 0012 0166 0030 0866 0005 -2754BNP Paribas F 0049 0028 0073 0013 0818 0004 -4092Barclays F 0065 0028 0121 0027 0811 0005 -4028Rabobank Int Brasil SA F 0047 0017 0102 0017 0845 0003 -4605B Nat de Paris Brasil SA F 0036 0017 0054 0013 0819 0005 -3304Ibibank SA - Banco Multiplo F 0043 0010 0114 0025 0782 0013 -1623Dresdner Bank - B Multiplo F 0096 0015 0270 0076 0785 0007 -2924Banco Westlb Do Brasil SA F 0041 0026 0062 0013 0853 0010 -154Banco GE Capital SA F 0054 0026 0253 0049 0862 0010 -1444B Com Uruguai SA F 0070 0017 0220 0058 0849 0003 -4471S - State-owned bank N - National bank and F - Foreign bank

44

Table A8 Estimates of Lerner index and return to scale by bank - Model (3)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0034 0090 0016 0941 0008 -772Banrisul S 0051 0032 0108 0016 0938 0008 -772BEC S 0035 0018 0051 0009 0856 0009 -1562BRB S 0052 0032 0122 0018 0958 0002 -1793BB S 0052 0035 0085 0015 0951 0006 -809Caixa Economica Federal S 0054 0039 0098 0014 1015 0003 465B da Amazonia SA S 0053 0014 0113 0024 0845 0008 -1977B do Estado Do Para SA S 0049 0028 0071 0010 0947 0005 -1117B do E do Maranhao SA S 0041 0032 0059 0008 0957 0015 -285B do E do Piauı SA - Bep S 0041 0028 0086 0014 0882 0005 -2518B do Estado De Sergipe SA S 0052 0021 0145 0022 0957 0004 -1182Nossa Caixa - N Banco SA S 0045 0029 0081 0015 0971 0005 -651Bradesco N 0052 0029 0101 0021 0893 0004 -2614Itau N 0054 0025 0203 0034 0872 0003 -4328Safra N 0048 0029 0093 0015 0869 0003 -5008Unibanco N 0041 0028 0067 0010 0874 0001 -8514Mercantil Do Brasil N 0053 0026 0095 0018 0939 0002 -29BBM N 0067 0013 0250 0056 0789 0005 -4501BMC N 0038 0024 0069 0010 0849 0003 -4408BMG N 0067 0015 0233 0058 0776 0004 -6374JMalucelli N 0052 0022 0087 0016 0720 0003 -9426PEBB N 0045 0014 0158 0040 0727 0009 -3192SS N 0057 0025 0231 0046 0797 0007 -287Sofisa N 0053 0018 0116 0026 0807 0002 -8444BIC N 0059 0030 0250 0049 0850 0006 -2596Schahin N 0048 0023 0220 0038 0842 0007 -2424Stock N 0083 0017 0304 0077 0838 0006 -2873Pine N 0049 0019 0105 0020 0810 0004 -5103Socopa N 0050 0026 0111 0018 0903 0003 -3253Intercap N 0055 0020 0196 0036 0828 0006 -283Indusval N 0062 0029 0282 0052 0863 0005 -2588Bonsucesso N 0051 0017 0118 0025 0789 0006 -3771Industrial do Brasil N 0046 0025 0086 0015 0815 0002 -8341Votorantim N 0050 0027 0128 0027 0809 0007 -2664Cacique N 0037 0020 0048 0009 0781 0005 -4645Inter Amex N 0039 0026 0058 0009 0842 0006 -2468Alfa N 0044 0031 0072 0011 0801 0002 -11998Rendimento N 0049 0022 0078 0011 0885 0008 -1463Bancoob N 0066 0057 0077 0007 0854 0003 -4342Original N 0102 0019 0301 0096 0730 0006 -4526Banco Intermedium SA N 0059 0027 0083 0020 0752 0006 -4354

Table A8 ndash Continue on next page

45

Table A8 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0017 0217 0054 0776 0003 -7084Banco BBN SA N 0038 0022 0058 0010 0831 0011 -1492B Cooperativo Sicredi SA N 0047 0035 0071 0010 0879 0005 -259B Cooperativo do Brasil SA N 0046 0035 0128 0020 0919 0006 -1339Banco Topazio SA N 0075 0036 0153 0041 0855 0005 -2657Banco Gerador SA N 0091 0057 0144 0034 0869 0008 -173Banco Randon SA N 0124 0029 0332 0112 0799 0005 -4023Parana Banco SA N 0036 0021 0071 0012 0797 0008 -2452Banco Triangulo SA N 0053 0023 0115 0027 0839 0004 -4256Banco Guanabara SA N 0047 0020 0100 0019 0790 0004 -561Banco Cedula SA N 0066 0012 0362 0068 0747 0003 -10082Banco Cacique SA N 0063 0026 0231 0074 0789 0016 -1336Banco Luso Brasileiro SA N 0066 0026 0249 0053 0865 0005 -2985Banco Pecunia SA N 0034 0029 0041 0004 0784 0003 -7038Banco Zogbi SA N 0036 0027 0046 0006 0782 0002 -13399Banco Daycoval SA N 0054 0019 0131 0034 0784 0004 -607Banco John Deere SA N 0039 0015 0083 0018 0761 0003 -8316Banco AJ Renner SA N 0049 0024 0073 0013 0840 0006 -2621ABN Amro F 0041 0030 0066 0009 0890 0002 -6866Chase F 0059 0013 0173 0039 0801 0007 -2733LLoyds F 0038 0021 0055 0010 0821 0003 -5484BankBoston F 0040 0028 0063 0012 0888 0006 -1931Santander Brasil F 0056 0028 0107 0027 0866 0008 -1663Citibank F 0052 0022 0123 0023 0860 0003 -4735BNL F 0039 0028 0063 0014 0841 0005 -2966Sudameris F 0041 0036 0052 0006 0948 0011 -473Societe Generale F 0052 0020 0103 0022 0833 0006 -2579Europeu F 0038 0030 0049 0007 0856 0007 -2153ABC-Brasil F 0046 0029 0079 0014 0813 0003 -5935Dresdner F 0055 0014 0212 0052 0822 0005 -3913AGF Braseg F 0046 0027 0071 0014 0806 0005 -4276HSBC F 0053 0032 0101 0019 0949 0007 -784Deutsche F 0058 0013 0141 0029 0863 0005 -2878BNP Paribas F 0051 0030 0074 0012 0818 0004 -4118Barclays F 0066 0025 0130 0030 0805 0005 -4123Rabobank Int Brasil SA F 0049 0019 0109 0018 0844 0003 -4752B Nat de Paris Brasil SA F 0041 0019 0069 0018 0817 0005 -3368Ibibank SA - Banco Multiplo F 0046 0010 0095 0021 0781 0014 -1617Dresdner Bank - B Multiplo F 0093 0017 0282 0072 0782 0008 -2899Banco Westlb Do Brasil SA F 0044 0027 0069 0015 0850 0009 -1591Banco GE Capital SA F 0055 0026 0249 0046 0859 0009 -1489B Com Uruguai SA F 0071 0017 0228 0056 0845 0003 -46241S - State-owned bank N - National bank and F - Foreign bank

46

Table A9 Estimates of Lerner index and return to scale by bank - Model (4)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0054 0041 0078 0011 0939 0007 -873Banrisul S 0055 0040 0106 0014 0948 0008 -692BEC S 0046 0020 0072 0014 0846 0009 -1746BRB S 0057 0032 0094 0016 0959 0002 -1673BB S 0057 0038 0095 0014 0981 0006 -33Caixa Economica Federal S 0061 0049 0165 0021 1042 0003 1249B da Amazonia SA S 0056 0015 0117 0022 0844 0008 -2047B do Estado Do Para SA S 0059 0025 0103 0020 0936 0004 -1701B do E Do Maranhao SA S 0052 0044 0062 0005 0936 0014 -448B do E Do Piauı SA - Bep S 0054 0029 0147 0028 0865 0004 -3201B do Estado De Sergipe SA S 0061 0023 0168 0026 0947 0004 -1484Nossa Caixa - N Banco SA S 0054 0035 0085 0012 0977 0004 -547Bradesco N 0056 0036 0107 0017 0919 0004 -2123Itau N 0058 0030 0212 0032 0896 0003 -3979Safra N 0052 0035 0107 0013 0882 0003 -445Unibanco N 0052 0035 0082 0013 0892 0001 -7446Mercantil Do Brasil N 0057 0027 0093 0015 0942 0002 -2687BBM N 0075 0015 0294 0064 0784 0005 -4512BMC N 0050 0029 0074 0011 0846 0003 -472BMG N 0065 0016 0202 0047 0779 0003 -7192JMalucelli N 0048 0022 0071 0014 0720 0003 -8923PEBB N 0061 0016 0172 0044 0704 0008 -382SS N 0056 0033 0213 0037 0799 0007 -2875Sofisa N 0053 0020 0087 0019 0805 0002 -9731BIC N 0061 0033 0269 0048 0854 0005 -2768Schahin N 0053 0027 0205 0034 0836 0006 -2627Stock N 0081 0020 0265 0068 0820 0006 -3122Pine N 0052 0022 0118 0021 0808 0004 -5467Socopa N 0054 0026 0114 0016 0888 0003 -3785Intercap N 0057 0023 0203 0035 0815 0006 -2877Indusval N 0062 0029 0239 0043 0857 0005 -3085Bonsucesso N 0052 0019 0088 0018 0782 0005 -403Industrial do Brasil N 0050 0030 0076 0015 0809 0002 -9427Votorantim N 0051 0036 0102 0017 0817 0008 -2222Cacique N 0050 0023 0067 0013 0776 0005 -4659Inter Amex N 0052 0035 0064 0009 0837 0007 -2226Alfa N 0048 0039 0071 0007 0805 0002 -11484Rendimento N 0052 0022 0076 0013 0874 0008 -1571Bancoob N 0057 0045 0071 0011 0855 0003 -5022Original N 0094 0017 0278 0090 0730 0006 -4242Banco Intermedium SA N 0049 0027 0065 0014 0746 0006 -4054

Table A9 ndash Continue on next page

47

Table A9 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0019 0220 0050 0764 0003 -7516Banco BBN SA N 0050 0027 0072 0013 0819 0012 -1529B Cooperativo Sicredi SA N 0051 0041 0068 0006 0875 0005 -2551B Cooperativo do Brasil SA N 0053 0044 0134 0018 0910 0006 -151Banco Topazio SA N 0066 0035 0128 0036 0837 0005 -2981Banco Gerador SA N 0082 0045 0157 0043 0854 0007 -1967Banco Randon SA N 0106 0026 0312 0105 0786 0005 -4204Parana Banco SA N 0048 0025 0102 0018 0787 0008 -2768Banco Triangulo SA N 0054 0027 0088 0021 0834 0004 -427Banco Guanabara SA N 0051 0023 0161 0025 0780 0004 -5659Banco Cedula SA N 0069 0012 0360 0065 0735 0003 -1028Banco Cacique SA N 0073 0027 0240 0075 0786 0016 -1327Banco Luso Brasileiro SA N 0065 0026 0242 0047 0852 0004 -346Banco Pecunia SA N 0045 0037 0056 0006 0773 0003 -7139Banco Zogbi SA N 0048 0036 0064 0010 0779 0001 -15057Banco Daycoval SA N 0055 0022 0126 0030 0784 0004 -568Banco John Deere SA N 0056 0018 0125 0031 0757 0003 -8084Banco AJ Renner SA N 0051 0025 0077 0013 0829 0006 -2763ABN Amro F 0053 0038 0074 0013 0909 0002 -4803Chase F 0066 0014 0220 0046 0793 0008 -2711LLoyds F 0050 0026 0060 0011 0825 0003 -5323BankBoston F 0054 0038 0092 0018 0899 0006 -1734Santander Brasil F 0056 0033 0098 0019 0885 0007 -1529Citibank F 0059 0025 0145 0030 0872 0003 -421BNL F 0052 0039 0091 0018 0840 0006 -2854Sudameris F 0053 0046 0062 0005 0961 0011 -352Societe Generale F 0058 0023 0144 0028 0827 0006 -2968Europeu F 0052 0031 0069 0012 0849 0007 -23ABC-Brasil F 0051 0028 0091 0015 0815 0003 -6225Dresdner F 0078 0017 0271 0071 0816 0005 -339AGF Braseg F 0050 0030 0094 0015 0797 0004 -4873HSBC F 0057 0045 0116 0016 0966 0006 -562Deutsche F 0066 0013 0151 0034 0858 0004 -3316BNP Paribas F 0050 0036 0071 0010 0823 0005 -3772Barclays F 0057 0024 0102 0025 0777 0007 -3003Rabobank Int Brasil SA F 0057 0021 0157 0026 0842 0003 -5266B Nat de Paris Brasil SA F 0059 0023 0102 0030 0812 0006 -3387Ibibank SA - Banco Multiplo F 0056 0012 0100 0023 0781 0015 -148Dresdner Bank - B Multiplo F 0084 0016 0237 0064 0771 0008 -2798Banco Westlb Do Brasil SA F 0061 0033 0101 0025 0841 0010 -1646Banco GE Capital SA F 0063 0031 0238 0044 0853 0010 -1548B Com Uruguai SA F 0074 0020 0226 0056 0833 0003 -51921S - State-owned bank N - National bank and F - Foreign bank

48

Table A10 Estimates of Lerner index and return to scale by bank - Model (5)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0043 0093 0012 0940 0007 -834Banrisul S 0054 0041 0083 0009 0949 0008 -668BEC S 0046 0020 0075 0014 0846 0009 -1719BRB S 0058 0032 0121 0017 0960 0002 -1607BB S 0056 0037 0087 0010 0981 0006 -321Caixa Economica Federal S 0061 0050 0156 0019 1044 0003 1282B da Amazonia SA S 0057 0016 0115 0023 0843 0008 -2023B do Estado Do Para SA S 0059 0027 0102 0020 0938 0004 -1608B do E Do Maranhao SA S 0052 0042 0064 0006 0939 0015 -418B do E Do Piauı SA - Bep S 0054 0029 0138 0025 0866 0004 -3097B do Estado De Sergipe SA S 0059 0024 0136 0020 0949 0004 -1404Nossa Caixa - N Banco SA S 0055 0036 0088 0013 0979 0004 -494Bradesco N 0056 0037 0108 0016 0918 0004 -2108Itau N 0058 0031 0213 0033 0894 0003 -3968Safra N 0052 0036 0086 0010 0881 0003 -4388Unibanco N 0053 0037 0085 0013 0892 0001 -7433Mercantil Do Brasil N 0057 0027 0086 0012 0943 0002 -2619BBM N 0075 0015 0292 0063 0784 0005 -447BMC N 0050 0029 0077 0012 0846 0003 -4648BMG N 0067 0017 0220 0051 0777 0003 -7116JMalucelli N 0049 0022 0083 0016 0718 0003 -8879PEBB N 0060 0017 0176 0044 0704 0008 -3743SS N 0059 0032 0223 0041 0798 0007 -2847Sofisa N 0055 0021 0112 0022 0804 0002 -9624BIC N 0060 0032 0238 0041 0853 0005 -2725Schahin N 0055 0028 0228 0038 0836 0006 -2575Stock N 0082 0019 0267 0068 0821 0006 -3063Pine N 0052 0022 0096 0018 0808 0004 -5392Socopa N 0055 0027 0113 0016 0889 0003 -3694Intercap N 0060 0023 0210 0037 0814 0006 -2856Indusval N 0062 0029 0245 0044 0857 0005 -3023Bonsucesso N 0053 0020 0113 0022 0781 0005 -3999Industrial do Brasil N 0051 0030 0084 0016 0808 0002 -9274Votorantim N 0052 0037 0130 0022 0816 0008 -2227Cacique N 0049 0024 0065 0012 0775 0005 -4632Inter Amex N 0052 0034 0067 0011 0837 0007 -2236Alfa N 0047 0041 0056 0004 0804 0002 -11448Rendimento N 0053 0022 0079 0011 0874 0008 -1549Bancoob N 0056 0050 0064 0005 0856 0003 -4874Original N 0087 0018 0288 0093 0728 0006 -4259Banco Intermedium SA N 0055 0027 0078 0019 0744 0006 -4047

Table A10 ndash Continue on next page

49

Table A10 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0217 0048 0763 0003 -7417Banco BBN SA N 0051 0026 0075 0014 0820 0012 -1504B Cooperativo Sicredi SA N 0051 0040 0061 0005 0876 0005 -2499B Cooperativo do Brasil SA N 0054 0043 0136 0019 0912 0006 -1445Banco Topazio SA N 0061 0034 0109 0026 0838 0006 -2897Banco Gerador SA N 0073 0052 0124 0026 0855 0008 -1918Banco Randon SA N 0120 0024 0327 0114 0785 0005 -4153Parana Banco SA N 0048 0026 0106 0020 0786 0008 -2732Banco Triangulo SA N 0055 0027 0111 0022 0834 0004 -4227Banco Guanabara SA N 0052 0024 0153 0024 0779 0004 -5589Banco Cedula SA N 0069 0012 0339 0062 0734 0003 -10232Banco Cacique SA N 0076 0027 0246 0076 0785 0016 -1317Banco Luso Brasileiro SA N 0067 0027 0207 0047 0852 0004 -3379Banco Pecunia SA N 0046 0038 0054 0006 0773 0003 -71Banco Zogbi SA N 0047 0037 0061 0010 0778 0001 -14931Banco Daycoval SA N 0054 0022 0126 0026 0782 0004 -5661Banco John Deere SA N 0056 0018 0129 0031 0756 0003 -8043Banco AJ Renner SA N 0053 0025 0080 0015 0829 0006 -2716ABN Amro F 0053 0038 0074 0012 0908 0002 -4751Chase F 0067 0014 0225 0047 0792 0008 -2693LLoyds F 0049 0025 0064 0012 0824 0003 -5227BankBoston F 0054 0037 0096 0020 0899 0006 -1701Santander Brasil F 0057 0033 0103 0019 0884 0008 -1511Citibank F 0059 0026 0154 0028 0871 0003 -4204BNL F 0052 0037 0097 0020 0840 0006 -28Sudameris F 0052 0045 0058 0005 0962 0011 -334Societe Generale F 0060 0023 0151 0031 0827 0006 -2924Europeu F 0050 0032 0066 0012 0849 0007 -2263ABC-Brasil F 0051 0025 0079 0014 0814 0003 -617Dresdner F 0080 0017 0276 0073 0816 0005 -3374AGF Braseg F 0050 0031 0093 0015 0796 0004 -4812HSBC F 0057 0043 0093 0011 0966 0006 -541Deutsche F 0066 0013 0155 0035 0858 0004 -3244BNP Paribas F 0050 0035 0067 0008 0822 0005 -3775Barclays F 0056 0024 0113 0025 0778 0007 -305Rabobank Int Brasil SA F 0057 0021 0163 0027 0842 0003 -5208B Nat de Paris Brasil SA F 0058 0022 0100 0029 0812 0006 -3343Ibibank SA - Banco Multiplo F 0057 0012 0099 0023 0780 0015 -1478Dresdner Bank - B Multiplo F 0087 0016 0244 0068 0770 0008 -2768Banco Westlb Do Brasil SA F 0063 0034 0106 0026 0841 0010 -1625Banco GE Capital SA F 0064 0032 0247 0046 0853 0010 -1522B Com Uruguai SA F 0073 0019 0191 0049 0833 0003 -50981S - State-owned bank N - National bank and F - Foreign bank

50

Table A11 Estimates of Lerner index and return to scale by bank - Model (6)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0036 0096 0015 0939 0007 -855Banrisul S 0050 0035 0098 0014 0938 0008 -82BEC S 0041 0019 0067 0012 0855 0009 -1644BRB S 0053 0029 0124 0018 0956 0002 -1996BB S 0051 0032 0088 0013 0954 0006 -807Caixa Economica Federal S 0054 0040 0094 0012 1014 0003 475B da Amazonia SA S 0053 0015 0103 0022 0846 0008 -205B do Estado Do Para SA S 0051 0028 0074 0013 0943 0004 -1319B do E Do Maranhao SA S 0041 0031 0059 0008 0950 0014 -346B do E Do Piauı SA - Bep S 0042 0028 0084 0012 0879 0004 -2727B do Estado De Sergipe SA S 0052 0022 0153 0022 0953 0003 -1377Nossa Caixa - N Banco SA S 0047 0032 0081 0014 0969 0004 -74Bradesco N 0052 0032 0097 0019 0898 0004 -2645Itau N 0054 0027 0190 0031 0877 0003 -4452Safra N 0049 0032 0100 0015 0872 0003 -5056Unibanco N 0043 0032 0067 0010 0878 0001 -8666Mercantil Do Brasil N 0053 0026 0087 0017 0938 0002 -3104BBM N 0066 0013 0251 0056 0792 0005 -4556BMC N 0041 0026 0069 0011 0850 0003 -4582BMG N 0067 0016 0228 0057 0781 0003 -6611JMalucelli N 0051 0022 0089 0017 0725 0003 -9344PEBB N 0046 0015 0157 0039 0728 0008 -3313SS N 0058 0025 0230 0046 0801 0007 -292Sofisa N 0053 0020 0119 0025 0809 0002 -8846BIC N 0060 0029 0262 0049 0852 0005 -2697Schahin N 0049 0025 0229 0040 0843 0006 -2523Stock N 0081 0017 0284 0072 0836 0005 -2986Pine N 0049 0021 0112 0019 0812 0004 -5267Socopa N 0050 0026 0095 0015 0900 0003 -3515Intercap N 0055 0021 0196 0035 0828 0006 -2899Indusval N 0061 0029 0262 0049 0863 0005 -2762Bonsucesso N 0052 0019 0123 0026 0791 0005 -3885Industrial do Brasil N 0046 0027 0088 0015 0816 0002 -8698Votorantim N 0051 0027 0139 0027 0813 0007 -262Cacique N 0039 0022 0050 0009 0784 0005 -4707Inter Amex N 0045 0027 0064 0012 0843 0006 -2493Alfa N 0044 0033 0068 0009 0805 0002 -12111Rendimento N 0050 0022 0073 0010 0883 0008 -1543Bancoob N 0066 0055 0072 0007 0856 0003 -4559Original N 0098 0020 0294 0094 0735 0006 -4509Banco Intermedium SA N 0057 0024 0085 0022 0756 0006 -4324

Table A11 ndash Continue on next page

51

Table A11 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0061 0017 0195 0048 0777 0003 -7233Banco BBN SA N 0042 0023 0059 0012 0831 0011 -1529B Cooperativo Sicredi SA N 0048 0035 0066 0009 0879 0005 -2672B Cooperativo do Brasil SA N 0046 0034 0119 0017 0917 0006 -1439Banco Topazio SA N 0070 0031 0129 0036 0853 0005 -2776Banco Gerador SA N 0086 0057 0148 0034 0867 0007 -1825Banco Randon SA N 0126 0028 0331 0114 0799 0005 -4136Parana Banco SA N 0039 0023 0082 0015 0798 0008 -2556Banco Triangulo SA N 0052 0025 0116 0025 0840 0004 -4363Banco Guanabara SA N 0048 0021 0100 0019 0792 0004 -5683Banco Cedula SA N 0067 0013 0356 0067 0749 0002 -10205Banco Cacique SA N 0067 0026 0232 0073 0792 0015 -1356Banco Luso Brasileiro SA N 0065 0025 0237 0052 0864 0004 -3163Banco Pecunia SA N 0037 0029 0045 0006 0786 0003 -7158Banco Zogbi SA N 0037 0027 0045 0007 0785 0002 -13921Banco Daycoval SA N 0053 0020 0120 0031 0787 0003 -6088Banco John Deere SA N 0043 0017 0099 0022 0764 0003 -8346Banco AJ Renner SA N 0050 0025 0080 0013 0840 0006 -2706ABN Amro F 0043 0035 0067 0008 0894 0002 -6685Chase F 0059 0014 0189 0040 0803 0007 -2772LLoyds F 0039 0021 0055 0012 0824 0003 -5536BankBoston F 0044 0029 0075 0015 0890 0006 -1965Santander Brasil F 0054 0028 0107 0024 0871 0008 -1694Citibank F 0054 0023 0133 0026 0863 0003 -4787BNL F 0042 0028 0078 0018 0843 0005 -2998Sudameris F 0041 0036 0052 0006 0948 0010 -491Societe Generale F 0054 0020 0118 0025 0834 0006 -2716Europeu F 0038 0029 0049 0008 0856 0006 -2239ABC-Brasil F 0046 0028 0084 0014 0816 0003 -6111Dresdner F 0063 0015 0239 0061 0823 0005 -3888AGF Braseg F 0047 0027 0074 0014 0807 0004 -4477HSBC F 0054 0032 0109 0018 0950 0006 -823Deutsche F 0058 0013 0122 0028 0863 0004 -305BNP Paribas F 0051 0032 0070 0011 0822 0004 -4145Barclays F 0064 0024 0128 0029 0802 0005 -4051Rabobank Int Brasil SA F 0051 0019 0130 0021 0846 0003 -4992B Nat de Paris Brasil SA F 0043 0019 0070 0019 0819 0005 -3429Ibibank SA - Banco Multiplo F 0049 0010 0083 0020 0785 0013 -161Dresdner Bank - B Multiplo F 0087 0016 0261 0066 0783 0007 -2901Banco Westlb Do Brasil SA F 0051 0030 0082 0019 0850 0009 -1643Banco GE Capital SA F 0053 0028 0239 0044 0859 0009 -1544B Com Uruguai SA F 0071 0017 0217 0054 0845 0003 -48451S - State-owned bank N - National bank and F - Foreign bank

52

Seacuterie de Textos para Discussatildeo do Curso de Ciecircncias Econocircmicas ndash FACEUFG ndash TD [078]

EDITORIAL FACE ndash Faculdade de Administraccedilatildeo Ciecircncias Contaacutebeis e Ciecircncias Econocircmicas Curso de Ciecircncias Econocircmicas Direccedilatildeo FACE Prof Moiseacutes Ferreira da Cunha Vice-Direccedilatildeo FACE Profordf Andreacutea Freire de Lucena Coordenaccedilatildeo do Curso de Ciecircncias Econocircmicas Prof Tiago Camarinha Lopes NEPEC ndash Nuacutecleo de Estudos e Pesquisas Econocircmicas Coordenaccedilatildeo Prof Seacutergio Fornazier Meyrelles Filho SEacuteRIE DE TEXTOS PARA DISCUSSAtildeO DO CURSO DE CIEcircNCIAS ECONOcircMICAS DA UFG Coordenaccedilatildeo e Equipe de Editoraccedilatildeo Prof Sandro Eduardo Monsueto Adriana Moura Guimaratildees Matheus Henrique de Arauacutejo Dutra

Endereccedilo Campus Samambaia Preacutedio da FACE ndash Rodovia GoiacircniaNova Veneza km 0 ndash CEP 74690-900 Goiacircnia ndash GO Tel (62) 3521 ndash 1390 URL httpwwwfaceufgbreconomia Publicaccedilatildeo cujo objetivo eacute divulgar resultados de estudos que contam com a participaccedilatildeo de pesquisadores do NEPEC As opiniotildees contidas nesta publicaccedilatildeo satildeo de inteira responsabilidade do(s) autor(es) natildeo representando necessariamente o ponto de vista do NEPEC ou da FACEUFG Eacute permitida a reproduccedilatildeo desde que citada a fonte

Page 36: 1(3(& )$&( 8)* · The Dark Side of Prudential MeasuresI Paulo R. Scalco a, Benjamin M. Tabak1, Anderson M. Teixeira aFaculty of Management, Accounting and Economics, Federal University

Figure 5 Average Lerner indices for each model between 2000q2 and 2014q4

34

Figure 6 Average Lerner indices estimated for public private national and private foreign banks between2000q2 and 2014q4

35

Figure 7 Frequency distribution of the returns to scale indexes for each model and density estimationKernel by type of control

36

Table 1 Variables used to IDF estimatation

Variabel Description SourceBasic variables

TR Total Revenue = Gross Insterest Income (a) + Bank-ing Service Fee Income (d1) + Banking Fee Income(d2) + Other Operating Income (d7)

Inc statIFData

TC Total Cost = Interest Expenses (b) + Personnel Ex-penses (d3) + Administrative Expenses (d4) + TaxExpenses (d5) + Other Operating Expenses (d8)

Inc statIFData

Y Loan Lease and Other Credit Operations by RiskLevel

SummaryIFData

x1 Personnel Expenses (d3) Inc statIFDatax2 Funding (e) LiabilitiesIFDatax3 Equity (j) LiabilitiesIFData

Model variabelslnRC Log of Revenue-Cost ratiolnY Log of total loanlnx1 Log of personnel expenses and equity ratio (x1x3)lnx2 Log of funding and equity ratio (x2x3)T Time

Prudential variables - Deterministic mark-up parametersHHIt HHIt =

sumS2it where Sit

2 is market share of totalasset of bank i on time t

Inc statIFData

cb cumulative change of capital buffer Cerutti et al (2016)cr cumulative change of capital requirement Cerutti et al (2016)ltv cumulative change of loan-to-value Cerutti et al (2016)

rr foreign cumulative change of reserve requirement (foreigncurrency)

Cerutti et al (2016)

rr local cumulative change of reserve requirement (domesticcurrency)

Cerutti et al (2016)

37

Table 2 Results of IDF estimation

Parameters VariablesEstimates

Model Model Model Model Model Model(1) (2) (3) (4) (5) (6)

Parametros da funcao insumo distanciaαY Y lnY -0013 -0003 -0004 -0012 -0011 -0005

(000) (000) (000) (000) (000) (000)α1Y lnx1 -0096 -0095 -0094 -0094 -0096 -0090

(001) (001) (001) (001) (001) (001)α2Y lnx2 -0019 -0022 -0022 -0019 -0020 -0021

(001) (001) (001) (001) (001) (001)αY T T -0000 -0000 -0000 -0000 -0000 -0000

(000) (000) (000) (000) (000) (000)αY const 1153 1010 1035 1134 1129 1057

(005) (007) (005) (005) (005) (006)

Deterministic Mark-up parametersδ1 HHI 764157

(12270)δ1 Capital

Buffer7586(065)

δ2 CapitalReq

4696(160)

δ1 Loan-to-value38511(671)

δ1 ResR(foreign)10730(433)

δ2 ResR(local)2869(126)

δ1 Cum Prud3237(020)

δ0 const minus10601minus10194minus5306 minus9866 minus8577 minus4993(032) (2064) (316) (079) (119) (122)

Distribution of u and vσ2u 2840 1418 1620 2643 2441 1593σ2v 0118 0121 0120 0118 0118 0120λ 2402 1172 1354 2233 2065 1325Log Lik 887404 922033 918606 896019 891991 907817

EstimatesEstimates of Mark-up (u)Avg 0075 0065 0068 0074 0075 00691st quartile 0052 0038 0051 0051 0051 0044Median 0062 0048 0060 0060 0061 00543st quartile 0080 0074 0079 0079 0079 0075std-dev 0053 0054 0053 0053 0054 0054

Note p lt 010 p lt 005 and p lt 001

38

Table 3 Estimates of Lerner index general and by type of control

EstimatesModel Model Model Model Model Model

(1) (2) (3) (4) (5) (6)Mark-up (L) generalAverage 0058 0051 0053 0057 0058 0053std-dev 0032 0034 0034 0032 0032 00331st quartile 0043 0031 0034 0041 0042 0036Median 0051 0039 0044 0050 0050 00453st quartile 0063 0060 0059 0063 0063 0060Mark-up (L) State-owned banksAverage 0057 0047 0049 0056 0056 0050std-dev 0018 0017 0017 0018 0016 00161st quartile 0047 0035 0038 0045 0046 0040Median 0054 0041 0046 0053 0053 00463st quartile 0064 0056 0056 0064 0063 0057Mark-up (L) National banksAverage 0057 0052 0054 0057 0057 0054std-dev 0034 0038 0038 0035 0035 00371st quartile 0041 0030 0033 0040 0041 0035Median 0050 0038 0043 0048 0049 00443st quartile 0061 0061 0060 0061 0062 0060Mark-up (L) Foreign banksAverage 0061 0050 0053 0059 0060 0054std-dev 0034 0033 0032 0034 0034 00321st quartile 0042 0031 0034 0041 0042 0036Median 0052 0040 0044 0051 0051 00453st quartile 0068 0059 0060 0066 0066 0061

Table 4 Estimates of returns to scale by control type and general

ModelState-owned

banksNational

banksForeignbanks

General std-dev Min Max

1 0944 0824 0842 0848 0073 0665 11242 0940 0829 0843 0851 0066 0690 10733 0938 0827 0842 0849 0066 0689 10764 0941 0824 0842 0848 0071 0671 11115 0942 0824 0841 0848 0072 0669 11136 0937 0829 0844 0850 0065 0692 1073

39

Appendix A Attachment Tables

Table A5 Cumulative change on Prudential Measures intensity

TimeCapitalBuffer 2

(cb)

CapitalReq(cr)

Loan-to-Value(ltv)

Reserve Reqlocal curr

(RR local)

Reserve Reqforeign cur

(RR foreign)

CumulativePrudential 3

(Cum Prud)2000q2 -1 0 0 0 -2 -32000q4 -1 0 0 0 -2 -32001q2 -1 0 0 0 -2 -32001q4 0 0 0 0 -1 -12002q2 0 0 0 0 0 02002q4 2 0 0 0 2 42003q2 0 0 0 0 3 32003q4 0 0 0 0 2 22004q2 0 0 0 0 2 22004q4 0 0 0 0 2 22005q2 0 0 0 0 2 22005q4 0 0 0 0 2 22006q2 0 0 0 0 2 22006q4 0 0 0 0 2 22007q2 2 0 0 0 2 42007q4 2 0 0 0 2 42008q2 2 0 0 0 2 42008q4 2 0 0 0 1 32009q2 2 0 0 0 0 22009q4 2 0 0 0 -1 12010q2 2 0 0 0 1 32010q4 3 0 0 0 3 62011q2 3 0 0 1 3 72011q4 4 0 0 2 3 92012q2 3 1 0 2 3 92012q4 3 1 0 1 2 72013q2 3 2 0 0 2 72013q4 3 2 1 0 2 82014q2 3 2 1 0 2 82014q4 2 2 1 0 3 82Sum of capital buffer and others 3Aggregate measure (It is the sum of the change of all other instrument)

40

Table A6 Estimates of Lerner index and return to scale by bank - Model (1)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0042 0082 0009 0940 0007 -85Banrisul S 0055 0041 0084 0009 0952 0008 -635BEC S 0048 0021 0077 0016 0844 0009 -1756BRB S 0058 0033 0100 0015 0961 0003 -1533BB S 0058 0039 0098 0012 0990 0006 -173Caixa Economica Federal S 0063 0051 0174 0022 1052 0004 1458B da Amazonia SA S 0057 0016 0124 0023 0844 0008 -2028B do Estado Do Para SA S 0061 0026 0110 0022 0936 0004 -1764B do Est do Maranhao SA S 0055 0046 0065 0006 0935 0014 -455B do Est do Piauı SA - Bep S 0057 0030 0155 0029 0862 0004 -326B do Estado De Sergipe SA S 0061 0024 0135 0022 0947 0004 -1453Nossa Caixa - N Banco SA S 0057 0036 0090 0013 0981 0004 -444Bradesco N 0056 0038 0114 0015 0925 0004 -1945Itau N 0059 0031 0220 0033 0901 0003 -3797Safra N 0053 0037 0085 0009 0885 0003 -4215Unibanco N 0055 0037 0088 0014 0897 0001 -7054Mercantil Do Brasil N 0057 0027 0077 0011 0945 0002 -2527BBM N 0076 0016 0300 0065 0783 0005 -4464BMC N 0052 0030 0079 0012 0845 0003 -4703BMG N 0065 0017 0208 0045 0779 0003 -729JMalucelli N 0047 0022 0069 0013 0718 0003 -8765PEBB N 0065 0017 0181 0047 0698 0008 -3914SS N 0057 0034 0220 0037 0799 0007 -2839Sofisa N 0054 0021 0092 0020 0804 0002 -9903BIC N 0060 0034 0236 0040 0855 0005 -276Schahin N 0056 0028 0214 0035 0835 0006 -262Stock N 0081 0020 0267 0067 0817 0006 -3107Pine N 0052 0022 0108 0019 0808 0004 -545Socopa N 0056 0027 0120 0017 0886 0003 -3806Intercap N 0060 0023 0212 0037 0812 0007 -2851Indusval N 0062 0030 0246 0043 0857 0005 -3139Bonsucesso N 0052 0020 0092 0018 0779 0005 -4033Industrial do Brasil N 0051 0031 0081 0016 0807 0002 -952Votorantim N 0052 0037 0107 0017 0819 0009 -2117Cacique N 0053 0024 0071 0014 0774 0005 -4621Inter Amex N 0055 0037 0068 0010 0837 0008 -2158Alfa N 0048 0041 0059 0005 0806 0002 -11303Rendimento N 0053 0022 0080 0012 0872 0008 -1562Bancoob N 0052 0046 0056 0003 0856 0003 -5061Original N 0085 0017 0279 0090 0729 0007 -4163Banco Intermedium SA N 0052 0028 0070 0015 0743 0006 -3973

Table A6 ndash Continue on next page

41

Table A6 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0225 0049 0761 0003 -7509Banco BBN SA N 0053 0027 0077 0014 0817 0012 -1509B Cooperativo Sicredi SA N 0052 0043 0062 0005 0875 0005 -2477B Cooperativo do Brasil SA N 0056 0046 0142 0020 0910 0006 -1479Banco Topazio SA N 0060 0035 0110 0027 0834 0006 -2966Banco Gerador SA N 0069 0045 0122 0028 0852 0008 -1968Banco Randon SA N 0109 0023 0320 0109 0783 0005 -4158Parana Banco SA N 0050 0026 0108 0020 0784 0008 -2799Banco Triangulo SA N 0055 0028 0091 0020 0833 0004 -4201Banco Guanabara SA N 0052 0024 0169 0025 0777 0004 -5588Banco Cedula SA N 0068 0012 0339 0061 0731 0003 -10236Banco Cacique SA N 0077 0028 0248 0077 0785 0016 -1309B Luso Brasileiro SA N 0065 0027 0208 0043 0849 0004 -349Banco Pecunia SA N 0047 0039 0060 0006 0770 0003 -7086Banco Zogbi SA N 0051 0038 0067 0011 0778 0001 -15193Banco Daycoval SA N 0054 0023 0131 0026 0783 0004 -5522B John Deere SA N 0059 0018 0133 0033 0756 0003 -7955Banco AJ Renner SA N 0053 0025 0081 0015 0827 0006 -2742ABN Amro F 0056 0039 0079 0014 0914 0002 -427Chase F 0068 0014 0228 0049 0790 0008 -2678LLoyds F 0053 0027 0064 0012 0825 0003 -5159BankBoston F 0057 0040 0099 0020 0902 0006 -1638Santander Brasil F 0057 0034 0097 0017 0890 0008 -146Citibank F 0059 0026 0153 0028 0875 0003 -4039BNL F 0055 0041 0097 0019 0840 0006 -2767Sudameris F 0056 0048 0065 0005 0966 0012 -297Societe Generale F 0060 0024 0153 0031 0826 0006 -299Europeu F 0054 0032 0073 0013 0848 0007 -2287ABC-Brasil F 0052 0025 0082 0014 0815 0003 -6207Dresdner F 0083 0017 0280 0074 0815 0006 -3234AGF Braseg F 0051 0031 0100 0016 0794 0004 -4923HSBC F 0057 0046 0092 0010 0971 0006 -466Deutsche F 0068 0013 0160 0036 0857 0004 -3335BNP Paribas F 0050 0037 0068 0007 0824 0005 -3665Barclays F 0052 0024 0089 0021 0771 0008 -2787Rabobank Int Brasil SA F 0058 0022 0166 0028 0842 0003 -5284B Nat de Paris Br SA F 0063 0023 0109 0033 0811 0006 -3331Ibibank SA - Banco Multiplo F 0059 0012 0106 0024 0781 0015 -1441Dresdner Bank - B Multiplo F 0086 0016 0244 0068 0768 0008 -2746Banco Westlb Do Brasil SA F 0064 0034 0108 0027 0839 0010 -1626Banco GE Capital SA F 0067 0032 0247 0047 0852 0010 -1527B Com Uruguai SA F 0072 0020 0192 0049 0830 0003 -52281S - State-owned bank N - National bank and F - Foreign bank

42

Table A7 Estimates of Lerner index and return to scale by bank - Model (2)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0049 0032 0085 0016 0944 0008 -716Banrisul S 0049 0032 0106 0017 0939 0008 -75BEC S 0032 0016 0046 0008 0860 0009 -1489BRB S 0049 0030 0112 0017 0961 0002 -1681BB S 0049 0032 0091 0016 0948 0006 -845Caixa Economica Federal S 0052 0034 0081 0014 1012 0003 382B da Amazonia SA S 0053 0015 0140 0028 0847 0008 -1922B do Estado Do Para SA S 0046 0029 0063 0009 0952 0005 -963B do Est do Maranhao SA S 0036 0029 0045 0005 0963 0016 -235B do Est do Piauı SA - Bep S 0036 0023 0071 0011 0888 0005 -2314B do Estado De Sergipe SA S 0050 0020 0155 0024 0962 0004 -1043Nossa Caixa - N Banco SA S 0039 0027 0074 0011 0972 0005 -601Bradesco N 0050 0028 0116 0023 0890 0004 -2618Itau N 0052 0024 0222 0037 0869 0003 -4269Safra N 0046 0028 0100 0017 0867 0003 -5042Unibanco N 0035 0028 0054 0007 0873 0001 -8511Mercantil Do Brasil N 0051 0029 0093 0019 0941 0002 -2837BBM N 0063 0012 0213 0048 0790 0005 -4494BMC N 0034 0023 0049 0007 0851 0003 -4266BMG N 0065 0015 0233 0057 0776 0004 -6135JMalucelli N 0052 0018 0080 0016 0720 0003 -9566PEBB N 0037 0014 0108 0025 0732 0009 -3086SS N 0056 0024 0236 0046 0797 0007 -2849Sofisa N 0052 0018 0107 0028 0808 0002 -8115BIC N 0057 0026 0259 0050 0850 0006 -2531Schahin N 0047 0022 0225 0041 0845 0007 -2359Stock N 0078 0017 0287 0071 0843 0006 -2782Pine N 0048 0018 0114 0023 0811 0004 -4973Socopa N 0050 0022 0136 0024 0908 0003 -3089Intercap N 0051 0019 0133 0031 0832 0006 -2759Indusval N 0061 0023 0267 0052 0866 0006 -2437Bonsucesso N 0050 0017 0109 0026 0791 0006 -3655Industrial do Brasil N 0044 0024 0079 0015 0816 0002 -8095Votorantim N 0048 0025 0120 0026 0807 0007 -2721Cacique N 0033 0020 0039 0006 0782 0005 -4597Inter Amex N 0035 0025 0045 0007 0844 0006 -2419Alfa N 0042 0029 0069 0013 0801 0002 -12139Rendimento N 0049 0019 0077 0015 0889 0008 -1394Bancoob N 0065 0057 0073 0006 0855 0003 -4199Original N 0099 0019 0299 0096 0732 0006 -4473Banco Intermedium SA N 0062 0032 0081 0019 0754 0006 -4393

Table A7 ndash Continue on next page

43

Table A7 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0059 0016 0239 0051 0778 0003 -6944Banco BBN SA N 0035 0020 0053 0009 0834 0011 -1466B Cooperativo Sicredi SA N 0045 0032 0070 0011 0881 0005 -2581B Cooperativo do Brasil SA N 0045 0029 0147 0025 0922 0006 -1274Banco Topazio SA N 0076 0043 0138 0038 0861 0005 -2569Banco Gerador SA N 0089 0054 0153 0037 0874 0008 -1645Banco Randon SA N 0122 0029 0335 0113 0803 0005 -388Parana Banco SA N 0033 0020 0062 0011 0800 0009 -234Banco Triangulo SA N 0052 0022 0105 0027 0841 0004 -4148Banco Guanabara SA N 0046 0019 0091 0020 0793 0004 -5561Banco Cedula SA N 0062 0011 0359 0067 0749 0003 -9911Banco Cacique SA N 0049 0020 0157 0048 0791 0016 -1315Banco Luso Brasileiro SA N 0066 0022 0241 0055 0870 0005 -2851Banco Pecunia SA N 0032 0027 0036 0003 0787 0003 -6876Banco Zogbi SA N 0032 0026 0037 0005 0784 0002 -13006Banco Daycoval SA N 0053 0019 0139 0036 0784 0004 -6065Banco John Deere SA N 0035 0016 0073 0016 0761 0003 -8278Banco AJ Renner SA N 0047 0021 0083 0015 0844 0006 -2553ABN Amro F 0035 0027 0047 0006 0889 0002 -7231Chase F 0054 0013 0157 0033 0804 0007 -2702LLoyds F 0033 0020 0043 0008 0821 0003 -5429BankBoston F 0036 0026 0060 0011 0888 0006 -1917Santander Brasil F 0055 0025 0115 0030 0864 0008 -1647Citibank F 0051 0020 0132 0025 0860 0003 -4735BNL F 0036 0026 0062 0012 0843 0005 -2959Sudameris F 0036 0031 0040 0004 0949 0011 -468Societe Generale F 0051 0018 0104 0024 0835 0007 -2454Europeu F 0034 0025 0041 0006 0859 0007 -2076ABC-Brasil F 0043 0026 0086 0015 0813 0003 -5797Dresdner F 0050 0014 0190 0046 0824 0004 -3975AGF Braseg F 0044 0024 0068 0014 0810 0005 -4109HSBC F 0052 0031 0110 0021 0948 0007 -776Deutsche F 0054 0012 0166 0030 0866 0005 -2754BNP Paribas F 0049 0028 0073 0013 0818 0004 -4092Barclays F 0065 0028 0121 0027 0811 0005 -4028Rabobank Int Brasil SA F 0047 0017 0102 0017 0845 0003 -4605B Nat de Paris Brasil SA F 0036 0017 0054 0013 0819 0005 -3304Ibibank SA - Banco Multiplo F 0043 0010 0114 0025 0782 0013 -1623Dresdner Bank - B Multiplo F 0096 0015 0270 0076 0785 0007 -2924Banco Westlb Do Brasil SA F 0041 0026 0062 0013 0853 0010 -154Banco GE Capital SA F 0054 0026 0253 0049 0862 0010 -1444B Com Uruguai SA F 0070 0017 0220 0058 0849 0003 -4471S - State-owned bank N - National bank and F - Foreign bank

44

Table A8 Estimates of Lerner index and return to scale by bank - Model (3)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0034 0090 0016 0941 0008 -772Banrisul S 0051 0032 0108 0016 0938 0008 -772BEC S 0035 0018 0051 0009 0856 0009 -1562BRB S 0052 0032 0122 0018 0958 0002 -1793BB S 0052 0035 0085 0015 0951 0006 -809Caixa Economica Federal S 0054 0039 0098 0014 1015 0003 465B da Amazonia SA S 0053 0014 0113 0024 0845 0008 -1977B do Estado Do Para SA S 0049 0028 0071 0010 0947 0005 -1117B do E do Maranhao SA S 0041 0032 0059 0008 0957 0015 -285B do E do Piauı SA - Bep S 0041 0028 0086 0014 0882 0005 -2518B do Estado De Sergipe SA S 0052 0021 0145 0022 0957 0004 -1182Nossa Caixa - N Banco SA S 0045 0029 0081 0015 0971 0005 -651Bradesco N 0052 0029 0101 0021 0893 0004 -2614Itau N 0054 0025 0203 0034 0872 0003 -4328Safra N 0048 0029 0093 0015 0869 0003 -5008Unibanco N 0041 0028 0067 0010 0874 0001 -8514Mercantil Do Brasil N 0053 0026 0095 0018 0939 0002 -29BBM N 0067 0013 0250 0056 0789 0005 -4501BMC N 0038 0024 0069 0010 0849 0003 -4408BMG N 0067 0015 0233 0058 0776 0004 -6374JMalucelli N 0052 0022 0087 0016 0720 0003 -9426PEBB N 0045 0014 0158 0040 0727 0009 -3192SS N 0057 0025 0231 0046 0797 0007 -287Sofisa N 0053 0018 0116 0026 0807 0002 -8444BIC N 0059 0030 0250 0049 0850 0006 -2596Schahin N 0048 0023 0220 0038 0842 0007 -2424Stock N 0083 0017 0304 0077 0838 0006 -2873Pine N 0049 0019 0105 0020 0810 0004 -5103Socopa N 0050 0026 0111 0018 0903 0003 -3253Intercap N 0055 0020 0196 0036 0828 0006 -283Indusval N 0062 0029 0282 0052 0863 0005 -2588Bonsucesso N 0051 0017 0118 0025 0789 0006 -3771Industrial do Brasil N 0046 0025 0086 0015 0815 0002 -8341Votorantim N 0050 0027 0128 0027 0809 0007 -2664Cacique N 0037 0020 0048 0009 0781 0005 -4645Inter Amex N 0039 0026 0058 0009 0842 0006 -2468Alfa N 0044 0031 0072 0011 0801 0002 -11998Rendimento N 0049 0022 0078 0011 0885 0008 -1463Bancoob N 0066 0057 0077 0007 0854 0003 -4342Original N 0102 0019 0301 0096 0730 0006 -4526Banco Intermedium SA N 0059 0027 0083 0020 0752 0006 -4354

Table A8 ndash Continue on next page

45

Table A8 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0017 0217 0054 0776 0003 -7084Banco BBN SA N 0038 0022 0058 0010 0831 0011 -1492B Cooperativo Sicredi SA N 0047 0035 0071 0010 0879 0005 -259B Cooperativo do Brasil SA N 0046 0035 0128 0020 0919 0006 -1339Banco Topazio SA N 0075 0036 0153 0041 0855 0005 -2657Banco Gerador SA N 0091 0057 0144 0034 0869 0008 -173Banco Randon SA N 0124 0029 0332 0112 0799 0005 -4023Parana Banco SA N 0036 0021 0071 0012 0797 0008 -2452Banco Triangulo SA N 0053 0023 0115 0027 0839 0004 -4256Banco Guanabara SA N 0047 0020 0100 0019 0790 0004 -561Banco Cedula SA N 0066 0012 0362 0068 0747 0003 -10082Banco Cacique SA N 0063 0026 0231 0074 0789 0016 -1336Banco Luso Brasileiro SA N 0066 0026 0249 0053 0865 0005 -2985Banco Pecunia SA N 0034 0029 0041 0004 0784 0003 -7038Banco Zogbi SA N 0036 0027 0046 0006 0782 0002 -13399Banco Daycoval SA N 0054 0019 0131 0034 0784 0004 -607Banco John Deere SA N 0039 0015 0083 0018 0761 0003 -8316Banco AJ Renner SA N 0049 0024 0073 0013 0840 0006 -2621ABN Amro F 0041 0030 0066 0009 0890 0002 -6866Chase F 0059 0013 0173 0039 0801 0007 -2733LLoyds F 0038 0021 0055 0010 0821 0003 -5484BankBoston F 0040 0028 0063 0012 0888 0006 -1931Santander Brasil F 0056 0028 0107 0027 0866 0008 -1663Citibank F 0052 0022 0123 0023 0860 0003 -4735BNL F 0039 0028 0063 0014 0841 0005 -2966Sudameris F 0041 0036 0052 0006 0948 0011 -473Societe Generale F 0052 0020 0103 0022 0833 0006 -2579Europeu F 0038 0030 0049 0007 0856 0007 -2153ABC-Brasil F 0046 0029 0079 0014 0813 0003 -5935Dresdner F 0055 0014 0212 0052 0822 0005 -3913AGF Braseg F 0046 0027 0071 0014 0806 0005 -4276HSBC F 0053 0032 0101 0019 0949 0007 -784Deutsche F 0058 0013 0141 0029 0863 0005 -2878BNP Paribas F 0051 0030 0074 0012 0818 0004 -4118Barclays F 0066 0025 0130 0030 0805 0005 -4123Rabobank Int Brasil SA F 0049 0019 0109 0018 0844 0003 -4752B Nat de Paris Brasil SA F 0041 0019 0069 0018 0817 0005 -3368Ibibank SA - Banco Multiplo F 0046 0010 0095 0021 0781 0014 -1617Dresdner Bank - B Multiplo F 0093 0017 0282 0072 0782 0008 -2899Banco Westlb Do Brasil SA F 0044 0027 0069 0015 0850 0009 -1591Banco GE Capital SA F 0055 0026 0249 0046 0859 0009 -1489B Com Uruguai SA F 0071 0017 0228 0056 0845 0003 -46241S - State-owned bank N - National bank and F - Foreign bank

46

Table A9 Estimates of Lerner index and return to scale by bank - Model (4)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0054 0041 0078 0011 0939 0007 -873Banrisul S 0055 0040 0106 0014 0948 0008 -692BEC S 0046 0020 0072 0014 0846 0009 -1746BRB S 0057 0032 0094 0016 0959 0002 -1673BB S 0057 0038 0095 0014 0981 0006 -33Caixa Economica Federal S 0061 0049 0165 0021 1042 0003 1249B da Amazonia SA S 0056 0015 0117 0022 0844 0008 -2047B do Estado Do Para SA S 0059 0025 0103 0020 0936 0004 -1701B do E Do Maranhao SA S 0052 0044 0062 0005 0936 0014 -448B do E Do Piauı SA - Bep S 0054 0029 0147 0028 0865 0004 -3201B do Estado De Sergipe SA S 0061 0023 0168 0026 0947 0004 -1484Nossa Caixa - N Banco SA S 0054 0035 0085 0012 0977 0004 -547Bradesco N 0056 0036 0107 0017 0919 0004 -2123Itau N 0058 0030 0212 0032 0896 0003 -3979Safra N 0052 0035 0107 0013 0882 0003 -445Unibanco N 0052 0035 0082 0013 0892 0001 -7446Mercantil Do Brasil N 0057 0027 0093 0015 0942 0002 -2687BBM N 0075 0015 0294 0064 0784 0005 -4512BMC N 0050 0029 0074 0011 0846 0003 -472BMG N 0065 0016 0202 0047 0779 0003 -7192JMalucelli N 0048 0022 0071 0014 0720 0003 -8923PEBB N 0061 0016 0172 0044 0704 0008 -382SS N 0056 0033 0213 0037 0799 0007 -2875Sofisa N 0053 0020 0087 0019 0805 0002 -9731BIC N 0061 0033 0269 0048 0854 0005 -2768Schahin N 0053 0027 0205 0034 0836 0006 -2627Stock N 0081 0020 0265 0068 0820 0006 -3122Pine N 0052 0022 0118 0021 0808 0004 -5467Socopa N 0054 0026 0114 0016 0888 0003 -3785Intercap N 0057 0023 0203 0035 0815 0006 -2877Indusval N 0062 0029 0239 0043 0857 0005 -3085Bonsucesso N 0052 0019 0088 0018 0782 0005 -403Industrial do Brasil N 0050 0030 0076 0015 0809 0002 -9427Votorantim N 0051 0036 0102 0017 0817 0008 -2222Cacique N 0050 0023 0067 0013 0776 0005 -4659Inter Amex N 0052 0035 0064 0009 0837 0007 -2226Alfa N 0048 0039 0071 0007 0805 0002 -11484Rendimento N 0052 0022 0076 0013 0874 0008 -1571Bancoob N 0057 0045 0071 0011 0855 0003 -5022Original N 0094 0017 0278 0090 0730 0006 -4242Banco Intermedium SA N 0049 0027 0065 0014 0746 0006 -4054

Table A9 ndash Continue on next page

47

Table A9 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0019 0220 0050 0764 0003 -7516Banco BBN SA N 0050 0027 0072 0013 0819 0012 -1529B Cooperativo Sicredi SA N 0051 0041 0068 0006 0875 0005 -2551B Cooperativo do Brasil SA N 0053 0044 0134 0018 0910 0006 -151Banco Topazio SA N 0066 0035 0128 0036 0837 0005 -2981Banco Gerador SA N 0082 0045 0157 0043 0854 0007 -1967Banco Randon SA N 0106 0026 0312 0105 0786 0005 -4204Parana Banco SA N 0048 0025 0102 0018 0787 0008 -2768Banco Triangulo SA N 0054 0027 0088 0021 0834 0004 -427Banco Guanabara SA N 0051 0023 0161 0025 0780 0004 -5659Banco Cedula SA N 0069 0012 0360 0065 0735 0003 -1028Banco Cacique SA N 0073 0027 0240 0075 0786 0016 -1327Banco Luso Brasileiro SA N 0065 0026 0242 0047 0852 0004 -346Banco Pecunia SA N 0045 0037 0056 0006 0773 0003 -7139Banco Zogbi SA N 0048 0036 0064 0010 0779 0001 -15057Banco Daycoval SA N 0055 0022 0126 0030 0784 0004 -568Banco John Deere SA N 0056 0018 0125 0031 0757 0003 -8084Banco AJ Renner SA N 0051 0025 0077 0013 0829 0006 -2763ABN Amro F 0053 0038 0074 0013 0909 0002 -4803Chase F 0066 0014 0220 0046 0793 0008 -2711LLoyds F 0050 0026 0060 0011 0825 0003 -5323BankBoston F 0054 0038 0092 0018 0899 0006 -1734Santander Brasil F 0056 0033 0098 0019 0885 0007 -1529Citibank F 0059 0025 0145 0030 0872 0003 -421BNL F 0052 0039 0091 0018 0840 0006 -2854Sudameris F 0053 0046 0062 0005 0961 0011 -352Societe Generale F 0058 0023 0144 0028 0827 0006 -2968Europeu F 0052 0031 0069 0012 0849 0007 -23ABC-Brasil F 0051 0028 0091 0015 0815 0003 -6225Dresdner F 0078 0017 0271 0071 0816 0005 -339AGF Braseg F 0050 0030 0094 0015 0797 0004 -4873HSBC F 0057 0045 0116 0016 0966 0006 -562Deutsche F 0066 0013 0151 0034 0858 0004 -3316BNP Paribas F 0050 0036 0071 0010 0823 0005 -3772Barclays F 0057 0024 0102 0025 0777 0007 -3003Rabobank Int Brasil SA F 0057 0021 0157 0026 0842 0003 -5266B Nat de Paris Brasil SA F 0059 0023 0102 0030 0812 0006 -3387Ibibank SA - Banco Multiplo F 0056 0012 0100 0023 0781 0015 -148Dresdner Bank - B Multiplo F 0084 0016 0237 0064 0771 0008 -2798Banco Westlb Do Brasil SA F 0061 0033 0101 0025 0841 0010 -1646Banco GE Capital SA F 0063 0031 0238 0044 0853 0010 -1548B Com Uruguai SA F 0074 0020 0226 0056 0833 0003 -51921S - State-owned bank N - National bank and F - Foreign bank

48

Table A10 Estimates of Lerner index and return to scale by bank - Model (5)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0043 0093 0012 0940 0007 -834Banrisul S 0054 0041 0083 0009 0949 0008 -668BEC S 0046 0020 0075 0014 0846 0009 -1719BRB S 0058 0032 0121 0017 0960 0002 -1607BB S 0056 0037 0087 0010 0981 0006 -321Caixa Economica Federal S 0061 0050 0156 0019 1044 0003 1282B da Amazonia SA S 0057 0016 0115 0023 0843 0008 -2023B do Estado Do Para SA S 0059 0027 0102 0020 0938 0004 -1608B do E Do Maranhao SA S 0052 0042 0064 0006 0939 0015 -418B do E Do Piauı SA - Bep S 0054 0029 0138 0025 0866 0004 -3097B do Estado De Sergipe SA S 0059 0024 0136 0020 0949 0004 -1404Nossa Caixa - N Banco SA S 0055 0036 0088 0013 0979 0004 -494Bradesco N 0056 0037 0108 0016 0918 0004 -2108Itau N 0058 0031 0213 0033 0894 0003 -3968Safra N 0052 0036 0086 0010 0881 0003 -4388Unibanco N 0053 0037 0085 0013 0892 0001 -7433Mercantil Do Brasil N 0057 0027 0086 0012 0943 0002 -2619BBM N 0075 0015 0292 0063 0784 0005 -447BMC N 0050 0029 0077 0012 0846 0003 -4648BMG N 0067 0017 0220 0051 0777 0003 -7116JMalucelli N 0049 0022 0083 0016 0718 0003 -8879PEBB N 0060 0017 0176 0044 0704 0008 -3743SS N 0059 0032 0223 0041 0798 0007 -2847Sofisa N 0055 0021 0112 0022 0804 0002 -9624BIC N 0060 0032 0238 0041 0853 0005 -2725Schahin N 0055 0028 0228 0038 0836 0006 -2575Stock N 0082 0019 0267 0068 0821 0006 -3063Pine N 0052 0022 0096 0018 0808 0004 -5392Socopa N 0055 0027 0113 0016 0889 0003 -3694Intercap N 0060 0023 0210 0037 0814 0006 -2856Indusval N 0062 0029 0245 0044 0857 0005 -3023Bonsucesso N 0053 0020 0113 0022 0781 0005 -3999Industrial do Brasil N 0051 0030 0084 0016 0808 0002 -9274Votorantim N 0052 0037 0130 0022 0816 0008 -2227Cacique N 0049 0024 0065 0012 0775 0005 -4632Inter Amex N 0052 0034 0067 0011 0837 0007 -2236Alfa N 0047 0041 0056 0004 0804 0002 -11448Rendimento N 0053 0022 0079 0011 0874 0008 -1549Bancoob N 0056 0050 0064 0005 0856 0003 -4874Original N 0087 0018 0288 0093 0728 0006 -4259Banco Intermedium SA N 0055 0027 0078 0019 0744 0006 -4047

Table A10 ndash Continue on next page

49

Table A10 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0217 0048 0763 0003 -7417Banco BBN SA N 0051 0026 0075 0014 0820 0012 -1504B Cooperativo Sicredi SA N 0051 0040 0061 0005 0876 0005 -2499B Cooperativo do Brasil SA N 0054 0043 0136 0019 0912 0006 -1445Banco Topazio SA N 0061 0034 0109 0026 0838 0006 -2897Banco Gerador SA N 0073 0052 0124 0026 0855 0008 -1918Banco Randon SA N 0120 0024 0327 0114 0785 0005 -4153Parana Banco SA N 0048 0026 0106 0020 0786 0008 -2732Banco Triangulo SA N 0055 0027 0111 0022 0834 0004 -4227Banco Guanabara SA N 0052 0024 0153 0024 0779 0004 -5589Banco Cedula SA N 0069 0012 0339 0062 0734 0003 -10232Banco Cacique SA N 0076 0027 0246 0076 0785 0016 -1317Banco Luso Brasileiro SA N 0067 0027 0207 0047 0852 0004 -3379Banco Pecunia SA N 0046 0038 0054 0006 0773 0003 -71Banco Zogbi SA N 0047 0037 0061 0010 0778 0001 -14931Banco Daycoval SA N 0054 0022 0126 0026 0782 0004 -5661Banco John Deere SA N 0056 0018 0129 0031 0756 0003 -8043Banco AJ Renner SA N 0053 0025 0080 0015 0829 0006 -2716ABN Amro F 0053 0038 0074 0012 0908 0002 -4751Chase F 0067 0014 0225 0047 0792 0008 -2693LLoyds F 0049 0025 0064 0012 0824 0003 -5227BankBoston F 0054 0037 0096 0020 0899 0006 -1701Santander Brasil F 0057 0033 0103 0019 0884 0008 -1511Citibank F 0059 0026 0154 0028 0871 0003 -4204BNL F 0052 0037 0097 0020 0840 0006 -28Sudameris F 0052 0045 0058 0005 0962 0011 -334Societe Generale F 0060 0023 0151 0031 0827 0006 -2924Europeu F 0050 0032 0066 0012 0849 0007 -2263ABC-Brasil F 0051 0025 0079 0014 0814 0003 -617Dresdner F 0080 0017 0276 0073 0816 0005 -3374AGF Braseg F 0050 0031 0093 0015 0796 0004 -4812HSBC F 0057 0043 0093 0011 0966 0006 -541Deutsche F 0066 0013 0155 0035 0858 0004 -3244BNP Paribas F 0050 0035 0067 0008 0822 0005 -3775Barclays F 0056 0024 0113 0025 0778 0007 -305Rabobank Int Brasil SA F 0057 0021 0163 0027 0842 0003 -5208B Nat de Paris Brasil SA F 0058 0022 0100 0029 0812 0006 -3343Ibibank SA - Banco Multiplo F 0057 0012 0099 0023 0780 0015 -1478Dresdner Bank - B Multiplo F 0087 0016 0244 0068 0770 0008 -2768Banco Westlb Do Brasil SA F 0063 0034 0106 0026 0841 0010 -1625Banco GE Capital SA F 0064 0032 0247 0046 0853 0010 -1522B Com Uruguai SA F 0073 0019 0191 0049 0833 0003 -50981S - State-owned bank N - National bank and F - Foreign bank

50

Table A11 Estimates of Lerner index and return to scale by bank - Model (6)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0036 0096 0015 0939 0007 -855Banrisul S 0050 0035 0098 0014 0938 0008 -82BEC S 0041 0019 0067 0012 0855 0009 -1644BRB S 0053 0029 0124 0018 0956 0002 -1996BB S 0051 0032 0088 0013 0954 0006 -807Caixa Economica Federal S 0054 0040 0094 0012 1014 0003 475B da Amazonia SA S 0053 0015 0103 0022 0846 0008 -205B do Estado Do Para SA S 0051 0028 0074 0013 0943 0004 -1319B do E Do Maranhao SA S 0041 0031 0059 0008 0950 0014 -346B do E Do Piauı SA - Bep S 0042 0028 0084 0012 0879 0004 -2727B do Estado De Sergipe SA S 0052 0022 0153 0022 0953 0003 -1377Nossa Caixa - N Banco SA S 0047 0032 0081 0014 0969 0004 -74Bradesco N 0052 0032 0097 0019 0898 0004 -2645Itau N 0054 0027 0190 0031 0877 0003 -4452Safra N 0049 0032 0100 0015 0872 0003 -5056Unibanco N 0043 0032 0067 0010 0878 0001 -8666Mercantil Do Brasil N 0053 0026 0087 0017 0938 0002 -3104BBM N 0066 0013 0251 0056 0792 0005 -4556BMC N 0041 0026 0069 0011 0850 0003 -4582BMG N 0067 0016 0228 0057 0781 0003 -6611JMalucelli N 0051 0022 0089 0017 0725 0003 -9344PEBB N 0046 0015 0157 0039 0728 0008 -3313SS N 0058 0025 0230 0046 0801 0007 -292Sofisa N 0053 0020 0119 0025 0809 0002 -8846BIC N 0060 0029 0262 0049 0852 0005 -2697Schahin N 0049 0025 0229 0040 0843 0006 -2523Stock N 0081 0017 0284 0072 0836 0005 -2986Pine N 0049 0021 0112 0019 0812 0004 -5267Socopa N 0050 0026 0095 0015 0900 0003 -3515Intercap N 0055 0021 0196 0035 0828 0006 -2899Indusval N 0061 0029 0262 0049 0863 0005 -2762Bonsucesso N 0052 0019 0123 0026 0791 0005 -3885Industrial do Brasil N 0046 0027 0088 0015 0816 0002 -8698Votorantim N 0051 0027 0139 0027 0813 0007 -262Cacique N 0039 0022 0050 0009 0784 0005 -4707Inter Amex N 0045 0027 0064 0012 0843 0006 -2493Alfa N 0044 0033 0068 0009 0805 0002 -12111Rendimento N 0050 0022 0073 0010 0883 0008 -1543Bancoob N 0066 0055 0072 0007 0856 0003 -4559Original N 0098 0020 0294 0094 0735 0006 -4509Banco Intermedium SA N 0057 0024 0085 0022 0756 0006 -4324

Table A11 ndash Continue on next page

51

Table A11 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0061 0017 0195 0048 0777 0003 -7233Banco BBN SA N 0042 0023 0059 0012 0831 0011 -1529B Cooperativo Sicredi SA N 0048 0035 0066 0009 0879 0005 -2672B Cooperativo do Brasil SA N 0046 0034 0119 0017 0917 0006 -1439Banco Topazio SA N 0070 0031 0129 0036 0853 0005 -2776Banco Gerador SA N 0086 0057 0148 0034 0867 0007 -1825Banco Randon SA N 0126 0028 0331 0114 0799 0005 -4136Parana Banco SA N 0039 0023 0082 0015 0798 0008 -2556Banco Triangulo SA N 0052 0025 0116 0025 0840 0004 -4363Banco Guanabara SA N 0048 0021 0100 0019 0792 0004 -5683Banco Cedula SA N 0067 0013 0356 0067 0749 0002 -10205Banco Cacique SA N 0067 0026 0232 0073 0792 0015 -1356Banco Luso Brasileiro SA N 0065 0025 0237 0052 0864 0004 -3163Banco Pecunia SA N 0037 0029 0045 0006 0786 0003 -7158Banco Zogbi SA N 0037 0027 0045 0007 0785 0002 -13921Banco Daycoval SA N 0053 0020 0120 0031 0787 0003 -6088Banco John Deere SA N 0043 0017 0099 0022 0764 0003 -8346Banco AJ Renner SA N 0050 0025 0080 0013 0840 0006 -2706ABN Amro F 0043 0035 0067 0008 0894 0002 -6685Chase F 0059 0014 0189 0040 0803 0007 -2772LLoyds F 0039 0021 0055 0012 0824 0003 -5536BankBoston F 0044 0029 0075 0015 0890 0006 -1965Santander Brasil F 0054 0028 0107 0024 0871 0008 -1694Citibank F 0054 0023 0133 0026 0863 0003 -4787BNL F 0042 0028 0078 0018 0843 0005 -2998Sudameris F 0041 0036 0052 0006 0948 0010 -491Societe Generale F 0054 0020 0118 0025 0834 0006 -2716Europeu F 0038 0029 0049 0008 0856 0006 -2239ABC-Brasil F 0046 0028 0084 0014 0816 0003 -6111Dresdner F 0063 0015 0239 0061 0823 0005 -3888AGF Braseg F 0047 0027 0074 0014 0807 0004 -4477HSBC F 0054 0032 0109 0018 0950 0006 -823Deutsche F 0058 0013 0122 0028 0863 0004 -305BNP Paribas F 0051 0032 0070 0011 0822 0004 -4145Barclays F 0064 0024 0128 0029 0802 0005 -4051Rabobank Int Brasil SA F 0051 0019 0130 0021 0846 0003 -4992B Nat de Paris Brasil SA F 0043 0019 0070 0019 0819 0005 -3429Ibibank SA - Banco Multiplo F 0049 0010 0083 0020 0785 0013 -161Dresdner Bank - B Multiplo F 0087 0016 0261 0066 0783 0007 -2901Banco Westlb Do Brasil SA F 0051 0030 0082 0019 0850 0009 -1643Banco GE Capital SA F 0053 0028 0239 0044 0859 0009 -1544B Com Uruguai SA F 0071 0017 0217 0054 0845 0003 -48451S - State-owned bank N - National bank and F - Foreign bank

52

Seacuterie de Textos para Discussatildeo do Curso de Ciecircncias Econocircmicas ndash FACEUFG ndash TD [078]

EDITORIAL FACE ndash Faculdade de Administraccedilatildeo Ciecircncias Contaacutebeis e Ciecircncias Econocircmicas Curso de Ciecircncias Econocircmicas Direccedilatildeo FACE Prof Moiseacutes Ferreira da Cunha Vice-Direccedilatildeo FACE Profordf Andreacutea Freire de Lucena Coordenaccedilatildeo do Curso de Ciecircncias Econocircmicas Prof Tiago Camarinha Lopes NEPEC ndash Nuacutecleo de Estudos e Pesquisas Econocircmicas Coordenaccedilatildeo Prof Seacutergio Fornazier Meyrelles Filho SEacuteRIE DE TEXTOS PARA DISCUSSAtildeO DO CURSO DE CIEcircNCIAS ECONOcircMICAS DA UFG Coordenaccedilatildeo e Equipe de Editoraccedilatildeo Prof Sandro Eduardo Monsueto Adriana Moura Guimaratildees Matheus Henrique de Arauacutejo Dutra

Endereccedilo Campus Samambaia Preacutedio da FACE ndash Rodovia GoiacircniaNova Veneza km 0 ndash CEP 74690-900 Goiacircnia ndash GO Tel (62) 3521 ndash 1390 URL httpwwwfaceufgbreconomia Publicaccedilatildeo cujo objetivo eacute divulgar resultados de estudos que contam com a participaccedilatildeo de pesquisadores do NEPEC As opiniotildees contidas nesta publicaccedilatildeo satildeo de inteira responsabilidade do(s) autor(es) natildeo representando necessariamente o ponto de vista do NEPEC ou da FACEUFG Eacute permitida a reproduccedilatildeo desde que citada a fonte

Page 37: 1(3(& )$&( 8)* · The Dark Side of Prudential MeasuresI Paulo R. Scalco a, Benjamin M. Tabak1, Anderson M. Teixeira aFaculty of Management, Accounting and Economics, Federal University

Figure 6 Average Lerner indices estimated for public private national and private foreign banks between2000q2 and 2014q4

35

Figure 7 Frequency distribution of the returns to scale indexes for each model and density estimationKernel by type of control

36

Table 1 Variables used to IDF estimatation

Variabel Description SourceBasic variables

TR Total Revenue = Gross Insterest Income (a) + Bank-ing Service Fee Income (d1) + Banking Fee Income(d2) + Other Operating Income (d7)

Inc statIFData

TC Total Cost = Interest Expenses (b) + Personnel Ex-penses (d3) + Administrative Expenses (d4) + TaxExpenses (d5) + Other Operating Expenses (d8)

Inc statIFData

Y Loan Lease and Other Credit Operations by RiskLevel

SummaryIFData

x1 Personnel Expenses (d3) Inc statIFDatax2 Funding (e) LiabilitiesIFDatax3 Equity (j) LiabilitiesIFData

Model variabelslnRC Log of Revenue-Cost ratiolnY Log of total loanlnx1 Log of personnel expenses and equity ratio (x1x3)lnx2 Log of funding and equity ratio (x2x3)T Time

Prudential variables - Deterministic mark-up parametersHHIt HHIt =

sumS2it where Sit

2 is market share of totalasset of bank i on time t

Inc statIFData

cb cumulative change of capital buffer Cerutti et al (2016)cr cumulative change of capital requirement Cerutti et al (2016)ltv cumulative change of loan-to-value Cerutti et al (2016)

rr foreign cumulative change of reserve requirement (foreigncurrency)

Cerutti et al (2016)

rr local cumulative change of reserve requirement (domesticcurrency)

Cerutti et al (2016)

37

Table 2 Results of IDF estimation

Parameters VariablesEstimates

Model Model Model Model Model Model(1) (2) (3) (4) (5) (6)

Parametros da funcao insumo distanciaαY Y lnY -0013 -0003 -0004 -0012 -0011 -0005

(000) (000) (000) (000) (000) (000)α1Y lnx1 -0096 -0095 -0094 -0094 -0096 -0090

(001) (001) (001) (001) (001) (001)α2Y lnx2 -0019 -0022 -0022 -0019 -0020 -0021

(001) (001) (001) (001) (001) (001)αY T T -0000 -0000 -0000 -0000 -0000 -0000

(000) (000) (000) (000) (000) (000)αY const 1153 1010 1035 1134 1129 1057

(005) (007) (005) (005) (005) (006)

Deterministic Mark-up parametersδ1 HHI 764157

(12270)δ1 Capital

Buffer7586(065)

δ2 CapitalReq

4696(160)

δ1 Loan-to-value38511(671)

δ1 ResR(foreign)10730(433)

δ2 ResR(local)2869(126)

δ1 Cum Prud3237(020)

δ0 const minus10601minus10194minus5306 minus9866 minus8577 minus4993(032) (2064) (316) (079) (119) (122)

Distribution of u and vσ2u 2840 1418 1620 2643 2441 1593σ2v 0118 0121 0120 0118 0118 0120λ 2402 1172 1354 2233 2065 1325Log Lik 887404 922033 918606 896019 891991 907817

EstimatesEstimates of Mark-up (u)Avg 0075 0065 0068 0074 0075 00691st quartile 0052 0038 0051 0051 0051 0044Median 0062 0048 0060 0060 0061 00543st quartile 0080 0074 0079 0079 0079 0075std-dev 0053 0054 0053 0053 0054 0054

Note p lt 010 p lt 005 and p lt 001

38

Table 3 Estimates of Lerner index general and by type of control

EstimatesModel Model Model Model Model Model

(1) (2) (3) (4) (5) (6)Mark-up (L) generalAverage 0058 0051 0053 0057 0058 0053std-dev 0032 0034 0034 0032 0032 00331st quartile 0043 0031 0034 0041 0042 0036Median 0051 0039 0044 0050 0050 00453st quartile 0063 0060 0059 0063 0063 0060Mark-up (L) State-owned banksAverage 0057 0047 0049 0056 0056 0050std-dev 0018 0017 0017 0018 0016 00161st quartile 0047 0035 0038 0045 0046 0040Median 0054 0041 0046 0053 0053 00463st quartile 0064 0056 0056 0064 0063 0057Mark-up (L) National banksAverage 0057 0052 0054 0057 0057 0054std-dev 0034 0038 0038 0035 0035 00371st quartile 0041 0030 0033 0040 0041 0035Median 0050 0038 0043 0048 0049 00443st quartile 0061 0061 0060 0061 0062 0060Mark-up (L) Foreign banksAverage 0061 0050 0053 0059 0060 0054std-dev 0034 0033 0032 0034 0034 00321st quartile 0042 0031 0034 0041 0042 0036Median 0052 0040 0044 0051 0051 00453st quartile 0068 0059 0060 0066 0066 0061

Table 4 Estimates of returns to scale by control type and general

ModelState-owned

banksNational

banksForeignbanks

General std-dev Min Max

1 0944 0824 0842 0848 0073 0665 11242 0940 0829 0843 0851 0066 0690 10733 0938 0827 0842 0849 0066 0689 10764 0941 0824 0842 0848 0071 0671 11115 0942 0824 0841 0848 0072 0669 11136 0937 0829 0844 0850 0065 0692 1073

39

Appendix A Attachment Tables

Table A5 Cumulative change on Prudential Measures intensity

TimeCapitalBuffer 2

(cb)

CapitalReq(cr)

Loan-to-Value(ltv)

Reserve Reqlocal curr

(RR local)

Reserve Reqforeign cur

(RR foreign)

CumulativePrudential 3

(Cum Prud)2000q2 -1 0 0 0 -2 -32000q4 -1 0 0 0 -2 -32001q2 -1 0 0 0 -2 -32001q4 0 0 0 0 -1 -12002q2 0 0 0 0 0 02002q4 2 0 0 0 2 42003q2 0 0 0 0 3 32003q4 0 0 0 0 2 22004q2 0 0 0 0 2 22004q4 0 0 0 0 2 22005q2 0 0 0 0 2 22005q4 0 0 0 0 2 22006q2 0 0 0 0 2 22006q4 0 0 0 0 2 22007q2 2 0 0 0 2 42007q4 2 0 0 0 2 42008q2 2 0 0 0 2 42008q4 2 0 0 0 1 32009q2 2 0 0 0 0 22009q4 2 0 0 0 -1 12010q2 2 0 0 0 1 32010q4 3 0 0 0 3 62011q2 3 0 0 1 3 72011q4 4 0 0 2 3 92012q2 3 1 0 2 3 92012q4 3 1 0 1 2 72013q2 3 2 0 0 2 72013q4 3 2 1 0 2 82014q2 3 2 1 0 2 82014q4 2 2 1 0 3 82Sum of capital buffer and others 3Aggregate measure (It is the sum of the change of all other instrument)

40

Table A6 Estimates of Lerner index and return to scale by bank - Model (1)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0042 0082 0009 0940 0007 -85Banrisul S 0055 0041 0084 0009 0952 0008 -635BEC S 0048 0021 0077 0016 0844 0009 -1756BRB S 0058 0033 0100 0015 0961 0003 -1533BB S 0058 0039 0098 0012 0990 0006 -173Caixa Economica Federal S 0063 0051 0174 0022 1052 0004 1458B da Amazonia SA S 0057 0016 0124 0023 0844 0008 -2028B do Estado Do Para SA S 0061 0026 0110 0022 0936 0004 -1764B do Est do Maranhao SA S 0055 0046 0065 0006 0935 0014 -455B do Est do Piauı SA - Bep S 0057 0030 0155 0029 0862 0004 -326B do Estado De Sergipe SA S 0061 0024 0135 0022 0947 0004 -1453Nossa Caixa - N Banco SA S 0057 0036 0090 0013 0981 0004 -444Bradesco N 0056 0038 0114 0015 0925 0004 -1945Itau N 0059 0031 0220 0033 0901 0003 -3797Safra N 0053 0037 0085 0009 0885 0003 -4215Unibanco N 0055 0037 0088 0014 0897 0001 -7054Mercantil Do Brasil N 0057 0027 0077 0011 0945 0002 -2527BBM N 0076 0016 0300 0065 0783 0005 -4464BMC N 0052 0030 0079 0012 0845 0003 -4703BMG N 0065 0017 0208 0045 0779 0003 -729JMalucelli N 0047 0022 0069 0013 0718 0003 -8765PEBB N 0065 0017 0181 0047 0698 0008 -3914SS N 0057 0034 0220 0037 0799 0007 -2839Sofisa N 0054 0021 0092 0020 0804 0002 -9903BIC N 0060 0034 0236 0040 0855 0005 -276Schahin N 0056 0028 0214 0035 0835 0006 -262Stock N 0081 0020 0267 0067 0817 0006 -3107Pine N 0052 0022 0108 0019 0808 0004 -545Socopa N 0056 0027 0120 0017 0886 0003 -3806Intercap N 0060 0023 0212 0037 0812 0007 -2851Indusval N 0062 0030 0246 0043 0857 0005 -3139Bonsucesso N 0052 0020 0092 0018 0779 0005 -4033Industrial do Brasil N 0051 0031 0081 0016 0807 0002 -952Votorantim N 0052 0037 0107 0017 0819 0009 -2117Cacique N 0053 0024 0071 0014 0774 0005 -4621Inter Amex N 0055 0037 0068 0010 0837 0008 -2158Alfa N 0048 0041 0059 0005 0806 0002 -11303Rendimento N 0053 0022 0080 0012 0872 0008 -1562Bancoob N 0052 0046 0056 0003 0856 0003 -5061Original N 0085 0017 0279 0090 0729 0007 -4163Banco Intermedium SA N 0052 0028 0070 0015 0743 0006 -3973

Table A6 ndash Continue on next page

41

Table A6 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0225 0049 0761 0003 -7509Banco BBN SA N 0053 0027 0077 0014 0817 0012 -1509B Cooperativo Sicredi SA N 0052 0043 0062 0005 0875 0005 -2477B Cooperativo do Brasil SA N 0056 0046 0142 0020 0910 0006 -1479Banco Topazio SA N 0060 0035 0110 0027 0834 0006 -2966Banco Gerador SA N 0069 0045 0122 0028 0852 0008 -1968Banco Randon SA N 0109 0023 0320 0109 0783 0005 -4158Parana Banco SA N 0050 0026 0108 0020 0784 0008 -2799Banco Triangulo SA N 0055 0028 0091 0020 0833 0004 -4201Banco Guanabara SA N 0052 0024 0169 0025 0777 0004 -5588Banco Cedula SA N 0068 0012 0339 0061 0731 0003 -10236Banco Cacique SA N 0077 0028 0248 0077 0785 0016 -1309B Luso Brasileiro SA N 0065 0027 0208 0043 0849 0004 -349Banco Pecunia SA N 0047 0039 0060 0006 0770 0003 -7086Banco Zogbi SA N 0051 0038 0067 0011 0778 0001 -15193Banco Daycoval SA N 0054 0023 0131 0026 0783 0004 -5522B John Deere SA N 0059 0018 0133 0033 0756 0003 -7955Banco AJ Renner SA N 0053 0025 0081 0015 0827 0006 -2742ABN Amro F 0056 0039 0079 0014 0914 0002 -427Chase F 0068 0014 0228 0049 0790 0008 -2678LLoyds F 0053 0027 0064 0012 0825 0003 -5159BankBoston F 0057 0040 0099 0020 0902 0006 -1638Santander Brasil F 0057 0034 0097 0017 0890 0008 -146Citibank F 0059 0026 0153 0028 0875 0003 -4039BNL F 0055 0041 0097 0019 0840 0006 -2767Sudameris F 0056 0048 0065 0005 0966 0012 -297Societe Generale F 0060 0024 0153 0031 0826 0006 -299Europeu F 0054 0032 0073 0013 0848 0007 -2287ABC-Brasil F 0052 0025 0082 0014 0815 0003 -6207Dresdner F 0083 0017 0280 0074 0815 0006 -3234AGF Braseg F 0051 0031 0100 0016 0794 0004 -4923HSBC F 0057 0046 0092 0010 0971 0006 -466Deutsche F 0068 0013 0160 0036 0857 0004 -3335BNP Paribas F 0050 0037 0068 0007 0824 0005 -3665Barclays F 0052 0024 0089 0021 0771 0008 -2787Rabobank Int Brasil SA F 0058 0022 0166 0028 0842 0003 -5284B Nat de Paris Br SA F 0063 0023 0109 0033 0811 0006 -3331Ibibank SA - Banco Multiplo F 0059 0012 0106 0024 0781 0015 -1441Dresdner Bank - B Multiplo F 0086 0016 0244 0068 0768 0008 -2746Banco Westlb Do Brasil SA F 0064 0034 0108 0027 0839 0010 -1626Banco GE Capital SA F 0067 0032 0247 0047 0852 0010 -1527B Com Uruguai SA F 0072 0020 0192 0049 0830 0003 -52281S - State-owned bank N - National bank and F - Foreign bank

42

Table A7 Estimates of Lerner index and return to scale by bank - Model (2)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0049 0032 0085 0016 0944 0008 -716Banrisul S 0049 0032 0106 0017 0939 0008 -75BEC S 0032 0016 0046 0008 0860 0009 -1489BRB S 0049 0030 0112 0017 0961 0002 -1681BB S 0049 0032 0091 0016 0948 0006 -845Caixa Economica Federal S 0052 0034 0081 0014 1012 0003 382B da Amazonia SA S 0053 0015 0140 0028 0847 0008 -1922B do Estado Do Para SA S 0046 0029 0063 0009 0952 0005 -963B do Est do Maranhao SA S 0036 0029 0045 0005 0963 0016 -235B do Est do Piauı SA - Bep S 0036 0023 0071 0011 0888 0005 -2314B do Estado De Sergipe SA S 0050 0020 0155 0024 0962 0004 -1043Nossa Caixa - N Banco SA S 0039 0027 0074 0011 0972 0005 -601Bradesco N 0050 0028 0116 0023 0890 0004 -2618Itau N 0052 0024 0222 0037 0869 0003 -4269Safra N 0046 0028 0100 0017 0867 0003 -5042Unibanco N 0035 0028 0054 0007 0873 0001 -8511Mercantil Do Brasil N 0051 0029 0093 0019 0941 0002 -2837BBM N 0063 0012 0213 0048 0790 0005 -4494BMC N 0034 0023 0049 0007 0851 0003 -4266BMG N 0065 0015 0233 0057 0776 0004 -6135JMalucelli N 0052 0018 0080 0016 0720 0003 -9566PEBB N 0037 0014 0108 0025 0732 0009 -3086SS N 0056 0024 0236 0046 0797 0007 -2849Sofisa N 0052 0018 0107 0028 0808 0002 -8115BIC N 0057 0026 0259 0050 0850 0006 -2531Schahin N 0047 0022 0225 0041 0845 0007 -2359Stock N 0078 0017 0287 0071 0843 0006 -2782Pine N 0048 0018 0114 0023 0811 0004 -4973Socopa N 0050 0022 0136 0024 0908 0003 -3089Intercap N 0051 0019 0133 0031 0832 0006 -2759Indusval N 0061 0023 0267 0052 0866 0006 -2437Bonsucesso N 0050 0017 0109 0026 0791 0006 -3655Industrial do Brasil N 0044 0024 0079 0015 0816 0002 -8095Votorantim N 0048 0025 0120 0026 0807 0007 -2721Cacique N 0033 0020 0039 0006 0782 0005 -4597Inter Amex N 0035 0025 0045 0007 0844 0006 -2419Alfa N 0042 0029 0069 0013 0801 0002 -12139Rendimento N 0049 0019 0077 0015 0889 0008 -1394Bancoob N 0065 0057 0073 0006 0855 0003 -4199Original N 0099 0019 0299 0096 0732 0006 -4473Banco Intermedium SA N 0062 0032 0081 0019 0754 0006 -4393

Table A7 ndash Continue on next page

43

Table A7 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0059 0016 0239 0051 0778 0003 -6944Banco BBN SA N 0035 0020 0053 0009 0834 0011 -1466B Cooperativo Sicredi SA N 0045 0032 0070 0011 0881 0005 -2581B Cooperativo do Brasil SA N 0045 0029 0147 0025 0922 0006 -1274Banco Topazio SA N 0076 0043 0138 0038 0861 0005 -2569Banco Gerador SA N 0089 0054 0153 0037 0874 0008 -1645Banco Randon SA N 0122 0029 0335 0113 0803 0005 -388Parana Banco SA N 0033 0020 0062 0011 0800 0009 -234Banco Triangulo SA N 0052 0022 0105 0027 0841 0004 -4148Banco Guanabara SA N 0046 0019 0091 0020 0793 0004 -5561Banco Cedula SA N 0062 0011 0359 0067 0749 0003 -9911Banco Cacique SA N 0049 0020 0157 0048 0791 0016 -1315Banco Luso Brasileiro SA N 0066 0022 0241 0055 0870 0005 -2851Banco Pecunia SA N 0032 0027 0036 0003 0787 0003 -6876Banco Zogbi SA N 0032 0026 0037 0005 0784 0002 -13006Banco Daycoval SA N 0053 0019 0139 0036 0784 0004 -6065Banco John Deere SA N 0035 0016 0073 0016 0761 0003 -8278Banco AJ Renner SA N 0047 0021 0083 0015 0844 0006 -2553ABN Amro F 0035 0027 0047 0006 0889 0002 -7231Chase F 0054 0013 0157 0033 0804 0007 -2702LLoyds F 0033 0020 0043 0008 0821 0003 -5429BankBoston F 0036 0026 0060 0011 0888 0006 -1917Santander Brasil F 0055 0025 0115 0030 0864 0008 -1647Citibank F 0051 0020 0132 0025 0860 0003 -4735BNL F 0036 0026 0062 0012 0843 0005 -2959Sudameris F 0036 0031 0040 0004 0949 0011 -468Societe Generale F 0051 0018 0104 0024 0835 0007 -2454Europeu F 0034 0025 0041 0006 0859 0007 -2076ABC-Brasil F 0043 0026 0086 0015 0813 0003 -5797Dresdner F 0050 0014 0190 0046 0824 0004 -3975AGF Braseg F 0044 0024 0068 0014 0810 0005 -4109HSBC F 0052 0031 0110 0021 0948 0007 -776Deutsche F 0054 0012 0166 0030 0866 0005 -2754BNP Paribas F 0049 0028 0073 0013 0818 0004 -4092Barclays F 0065 0028 0121 0027 0811 0005 -4028Rabobank Int Brasil SA F 0047 0017 0102 0017 0845 0003 -4605B Nat de Paris Brasil SA F 0036 0017 0054 0013 0819 0005 -3304Ibibank SA - Banco Multiplo F 0043 0010 0114 0025 0782 0013 -1623Dresdner Bank - B Multiplo F 0096 0015 0270 0076 0785 0007 -2924Banco Westlb Do Brasil SA F 0041 0026 0062 0013 0853 0010 -154Banco GE Capital SA F 0054 0026 0253 0049 0862 0010 -1444B Com Uruguai SA F 0070 0017 0220 0058 0849 0003 -4471S - State-owned bank N - National bank and F - Foreign bank

44

Table A8 Estimates of Lerner index and return to scale by bank - Model (3)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0034 0090 0016 0941 0008 -772Banrisul S 0051 0032 0108 0016 0938 0008 -772BEC S 0035 0018 0051 0009 0856 0009 -1562BRB S 0052 0032 0122 0018 0958 0002 -1793BB S 0052 0035 0085 0015 0951 0006 -809Caixa Economica Federal S 0054 0039 0098 0014 1015 0003 465B da Amazonia SA S 0053 0014 0113 0024 0845 0008 -1977B do Estado Do Para SA S 0049 0028 0071 0010 0947 0005 -1117B do E do Maranhao SA S 0041 0032 0059 0008 0957 0015 -285B do E do Piauı SA - Bep S 0041 0028 0086 0014 0882 0005 -2518B do Estado De Sergipe SA S 0052 0021 0145 0022 0957 0004 -1182Nossa Caixa - N Banco SA S 0045 0029 0081 0015 0971 0005 -651Bradesco N 0052 0029 0101 0021 0893 0004 -2614Itau N 0054 0025 0203 0034 0872 0003 -4328Safra N 0048 0029 0093 0015 0869 0003 -5008Unibanco N 0041 0028 0067 0010 0874 0001 -8514Mercantil Do Brasil N 0053 0026 0095 0018 0939 0002 -29BBM N 0067 0013 0250 0056 0789 0005 -4501BMC N 0038 0024 0069 0010 0849 0003 -4408BMG N 0067 0015 0233 0058 0776 0004 -6374JMalucelli N 0052 0022 0087 0016 0720 0003 -9426PEBB N 0045 0014 0158 0040 0727 0009 -3192SS N 0057 0025 0231 0046 0797 0007 -287Sofisa N 0053 0018 0116 0026 0807 0002 -8444BIC N 0059 0030 0250 0049 0850 0006 -2596Schahin N 0048 0023 0220 0038 0842 0007 -2424Stock N 0083 0017 0304 0077 0838 0006 -2873Pine N 0049 0019 0105 0020 0810 0004 -5103Socopa N 0050 0026 0111 0018 0903 0003 -3253Intercap N 0055 0020 0196 0036 0828 0006 -283Indusval N 0062 0029 0282 0052 0863 0005 -2588Bonsucesso N 0051 0017 0118 0025 0789 0006 -3771Industrial do Brasil N 0046 0025 0086 0015 0815 0002 -8341Votorantim N 0050 0027 0128 0027 0809 0007 -2664Cacique N 0037 0020 0048 0009 0781 0005 -4645Inter Amex N 0039 0026 0058 0009 0842 0006 -2468Alfa N 0044 0031 0072 0011 0801 0002 -11998Rendimento N 0049 0022 0078 0011 0885 0008 -1463Bancoob N 0066 0057 0077 0007 0854 0003 -4342Original N 0102 0019 0301 0096 0730 0006 -4526Banco Intermedium SA N 0059 0027 0083 0020 0752 0006 -4354

Table A8 ndash Continue on next page

45

Table A8 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0017 0217 0054 0776 0003 -7084Banco BBN SA N 0038 0022 0058 0010 0831 0011 -1492B Cooperativo Sicredi SA N 0047 0035 0071 0010 0879 0005 -259B Cooperativo do Brasil SA N 0046 0035 0128 0020 0919 0006 -1339Banco Topazio SA N 0075 0036 0153 0041 0855 0005 -2657Banco Gerador SA N 0091 0057 0144 0034 0869 0008 -173Banco Randon SA N 0124 0029 0332 0112 0799 0005 -4023Parana Banco SA N 0036 0021 0071 0012 0797 0008 -2452Banco Triangulo SA N 0053 0023 0115 0027 0839 0004 -4256Banco Guanabara SA N 0047 0020 0100 0019 0790 0004 -561Banco Cedula SA N 0066 0012 0362 0068 0747 0003 -10082Banco Cacique SA N 0063 0026 0231 0074 0789 0016 -1336Banco Luso Brasileiro SA N 0066 0026 0249 0053 0865 0005 -2985Banco Pecunia SA N 0034 0029 0041 0004 0784 0003 -7038Banco Zogbi SA N 0036 0027 0046 0006 0782 0002 -13399Banco Daycoval SA N 0054 0019 0131 0034 0784 0004 -607Banco John Deere SA N 0039 0015 0083 0018 0761 0003 -8316Banco AJ Renner SA N 0049 0024 0073 0013 0840 0006 -2621ABN Amro F 0041 0030 0066 0009 0890 0002 -6866Chase F 0059 0013 0173 0039 0801 0007 -2733LLoyds F 0038 0021 0055 0010 0821 0003 -5484BankBoston F 0040 0028 0063 0012 0888 0006 -1931Santander Brasil F 0056 0028 0107 0027 0866 0008 -1663Citibank F 0052 0022 0123 0023 0860 0003 -4735BNL F 0039 0028 0063 0014 0841 0005 -2966Sudameris F 0041 0036 0052 0006 0948 0011 -473Societe Generale F 0052 0020 0103 0022 0833 0006 -2579Europeu F 0038 0030 0049 0007 0856 0007 -2153ABC-Brasil F 0046 0029 0079 0014 0813 0003 -5935Dresdner F 0055 0014 0212 0052 0822 0005 -3913AGF Braseg F 0046 0027 0071 0014 0806 0005 -4276HSBC F 0053 0032 0101 0019 0949 0007 -784Deutsche F 0058 0013 0141 0029 0863 0005 -2878BNP Paribas F 0051 0030 0074 0012 0818 0004 -4118Barclays F 0066 0025 0130 0030 0805 0005 -4123Rabobank Int Brasil SA F 0049 0019 0109 0018 0844 0003 -4752B Nat de Paris Brasil SA F 0041 0019 0069 0018 0817 0005 -3368Ibibank SA - Banco Multiplo F 0046 0010 0095 0021 0781 0014 -1617Dresdner Bank - B Multiplo F 0093 0017 0282 0072 0782 0008 -2899Banco Westlb Do Brasil SA F 0044 0027 0069 0015 0850 0009 -1591Banco GE Capital SA F 0055 0026 0249 0046 0859 0009 -1489B Com Uruguai SA F 0071 0017 0228 0056 0845 0003 -46241S - State-owned bank N - National bank and F - Foreign bank

46

Table A9 Estimates of Lerner index and return to scale by bank - Model (4)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0054 0041 0078 0011 0939 0007 -873Banrisul S 0055 0040 0106 0014 0948 0008 -692BEC S 0046 0020 0072 0014 0846 0009 -1746BRB S 0057 0032 0094 0016 0959 0002 -1673BB S 0057 0038 0095 0014 0981 0006 -33Caixa Economica Federal S 0061 0049 0165 0021 1042 0003 1249B da Amazonia SA S 0056 0015 0117 0022 0844 0008 -2047B do Estado Do Para SA S 0059 0025 0103 0020 0936 0004 -1701B do E Do Maranhao SA S 0052 0044 0062 0005 0936 0014 -448B do E Do Piauı SA - Bep S 0054 0029 0147 0028 0865 0004 -3201B do Estado De Sergipe SA S 0061 0023 0168 0026 0947 0004 -1484Nossa Caixa - N Banco SA S 0054 0035 0085 0012 0977 0004 -547Bradesco N 0056 0036 0107 0017 0919 0004 -2123Itau N 0058 0030 0212 0032 0896 0003 -3979Safra N 0052 0035 0107 0013 0882 0003 -445Unibanco N 0052 0035 0082 0013 0892 0001 -7446Mercantil Do Brasil N 0057 0027 0093 0015 0942 0002 -2687BBM N 0075 0015 0294 0064 0784 0005 -4512BMC N 0050 0029 0074 0011 0846 0003 -472BMG N 0065 0016 0202 0047 0779 0003 -7192JMalucelli N 0048 0022 0071 0014 0720 0003 -8923PEBB N 0061 0016 0172 0044 0704 0008 -382SS N 0056 0033 0213 0037 0799 0007 -2875Sofisa N 0053 0020 0087 0019 0805 0002 -9731BIC N 0061 0033 0269 0048 0854 0005 -2768Schahin N 0053 0027 0205 0034 0836 0006 -2627Stock N 0081 0020 0265 0068 0820 0006 -3122Pine N 0052 0022 0118 0021 0808 0004 -5467Socopa N 0054 0026 0114 0016 0888 0003 -3785Intercap N 0057 0023 0203 0035 0815 0006 -2877Indusval N 0062 0029 0239 0043 0857 0005 -3085Bonsucesso N 0052 0019 0088 0018 0782 0005 -403Industrial do Brasil N 0050 0030 0076 0015 0809 0002 -9427Votorantim N 0051 0036 0102 0017 0817 0008 -2222Cacique N 0050 0023 0067 0013 0776 0005 -4659Inter Amex N 0052 0035 0064 0009 0837 0007 -2226Alfa N 0048 0039 0071 0007 0805 0002 -11484Rendimento N 0052 0022 0076 0013 0874 0008 -1571Bancoob N 0057 0045 0071 0011 0855 0003 -5022Original N 0094 0017 0278 0090 0730 0006 -4242Banco Intermedium SA N 0049 0027 0065 0014 0746 0006 -4054

Table A9 ndash Continue on next page

47

Table A9 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0019 0220 0050 0764 0003 -7516Banco BBN SA N 0050 0027 0072 0013 0819 0012 -1529B Cooperativo Sicredi SA N 0051 0041 0068 0006 0875 0005 -2551B Cooperativo do Brasil SA N 0053 0044 0134 0018 0910 0006 -151Banco Topazio SA N 0066 0035 0128 0036 0837 0005 -2981Banco Gerador SA N 0082 0045 0157 0043 0854 0007 -1967Banco Randon SA N 0106 0026 0312 0105 0786 0005 -4204Parana Banco SA N 0048 0025 0102 0018 0787 0008 -2768Banco Triangulo SA N 0054 0027 0088 0021 0834 0004 -427Banco Guanabara SA N 0051 0023 0161 0025 0780 0004 -5659Banco Cedula SA N 0069 0012 0360 0065 0735 0003 -1028Banco Cacique SA N 0073 0027 0240 0075 0786 0016 -1327Banco Luso Brasileiro SA N 0065 0026 0242 0047 0852 0004 -346Banco Pecunia SA N 0045 0037 0056 0006 0773 0003 -7139Banco Zogbi SA N 0048 0036 0064 0010 0779 0001 -15057Banco Daycoval SA N 0055 0022 0126 0030 0784 0004 -568Banco John Deere SA N 0056 0018 0125 0031 0757 0003 -8084Banco AJ Renner SA N 0051 0025 0077 0013 0829 0006 -2763ABN Amro F 0053 0038 0074 0013 0909 0002 -4803Chase F 0066 0014 0220 0046 0793 0008 -2711LLoyds F 0050 0026 0060 0011 0825 0003 -5323BankBoston F 0054 0038 0092 0018 0899 0006 -1734Santander Brasil F 0056 0033 0098 0019 0885 0007 -1529Citibank F 0059 0025 0145 0030 0872 0003 -421BNL F 0052 0039 0091 0018 0840 0006 -2854Sudameris F 0053 0046 0062 0005 0961 0011 -352Societe Generale F 0058 0023 0144 0028 0827 0006 -2968Europeu F 0052 0031 0069 0012 0849 0007 -23ABC-Brasil F 0051 0028 0091 0015 0815 0003 -6225Dresdner F 0078 0017 0271 0071 0816 0005 -339AGF Braseg F 0050 0030 0094 0015 0797 0004 -4873HSBC F 0057 0045 0116 0016 0966 0006 -562Deutsche F 0066 0013 0151 0034 0858 0004 -3316BNP Paribas F 0050 0036 0071 0010 0823 0005 -3772Barclays F 0057 0024 0102 0025 0777 0007 -3003Rabobank Int Brasil SA F 0057 0021 0157 0026 0842 0003 -5266B Nat de Paris Brasil SA F 0059 0023 0102 0030 0812 0006 -3387Ibibank SA - Banco Multiplo F 0056 0012 0100 0023 0781 0015 -148Dresdner Bank - B Multiplo F 0084 0016 0237 0064 0771 0008 -2798Banco Westlb Do Brasil SA F 0061 0033 0101 0025 0841 0010 -1646Banco GE Capital SA F 0063 0031 0238 0044 0853 0010 -1548B Com Uruguai SA F 0074 0020 0226 0056 0833 0003 -51921S - State-owned bank N - National bank and F - Foreign bank

48

Table A10 Estimates of Lerner index and return to scale by bank - Model (5)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0043 0093 0012 0940 0007 -834Banrisul S 0054 0041 0083 0009 0949 0008 -668BEC S 0046 0020 0075 0014 0846 0009 -1719BRB S 0058 0032 0121 0017 0960 0002 -1607BB S 0056 0037 0087 0010 0981 0006 -321Caixa Economica Federal S 0061 0050 0156 0019 1044 0003 1282B da Amazonia SA S 0057 0016 0115 0023 0843 0008 -2023B do Estado Do Para SA S 0059 0027 0102 0020 0938 0004 -1608B do E Do Maranhao SA S 0052 0042 0064 0006 0939 0015 -418B do E Do Piauı SA - Bep S 0054 0029 0138 0025 0866 0004 -3097B do Estado De Sergipe SA S 0059 0024 0136 0020 0949 0004 -1404Nossa Caixa - N Banco SA S 0055 0036 0088 0013 0979 0004 -494Bradesco N 0056 0037 0108 0016 0918 0004 -2108Itau N 0058 0031 0213 0033 0894 0003 -3968Safra N 0052 0036 0086 0010 0881 0003 -4388Unibanco N 0053 0037 0085 0013 0892 0001 -7433Mercantil Do Brasil N 0057 0027 0086 0012 0943 0002 -2619BBM N 0075 0015 0292 0063 0784 0005 -447BMC N 0050 0029 0077 0012 0846 0003 -4648BMG N 0067 0017 0220 0051 0777 0003 -7116JMalucelli N 0049 0022 0083 0016 0718 0003 -8879PEBB N 0060 0017 0176 0044 0704 0008 -3743SS N 0059 0032 0223 0041 0798 0007 -2847Sofisa N 0055 0021 0112 0022 0804 0002 -9624BIC N 0060 0032 0238 0041 0853 0005 -2725Schahin N 0055 0028 0228 0038 0836 0006 -2575Stock N 0082 0019 0267 0068 0821 0006 -3063Pine N 0052 0022 0096 0018 0808 0004 -5392Socopa N 0055 0027 0113 0016 0889 0003 -3694Intercap N 0060 0023 0210 0037 0814 0006 -2856Indusval N 0062 0029 0245 0044 0857 0005 -3023Bonsucesso N 0053 0020 0113 0022 0781 0005 -3999Industrial do Brasil N 0051 0030 0084 0016 0808 0002 -9274Votorantim N 0052 0037 0130 0022 0816 0008 -2227Cacique N 0049 0024 0065 0012 0775 0005 -4632Inter Amex N 0052 0034 0067 0011 0837 0007 -2236Alfa N 0047 0041 0056 0004 0804 0002 -11448Rendimento N 0053 0022 0079 0011 0874 0008 -1549Bancoob N 0056 0050 0064 0005 0856 0003 -4874Original N 0087 0018 0288 0093 0728 0006 -4259Banco Intermedium SA N 0055 0027 0078 0019 0744 0006 -4047

Table A10 ndash Continue on next page

49

Table A10 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0217 0048 0763 0003 -7417Banco BBN SA N 0051 0026 0075 0014 0820 0012 -1504B Cooperativo Sicredi SA N 0051 0040 0061 0005 0876 0005 -2499B Cooperativo do Brasil SA N 0054 0043 0136 0019 0912 0006 -1445Banco Topazio SA N 0061 0034 0109 0026 0838 0006 -2897Banco Gerador SA N 0073 0052 0124 0026 0855 0008 -1918Banco Randon SA N 0120 0024 0327 0114 0785 0005 -4153Parana Banco SA N 0048 0026 0106 0020 0786 0008 -2732Banco Triangulo SA N 0055 0027 0111 0022 0834 0004 -4227Banco Guanabara SA N 0052 0024 0153 0024 0779 0004 -5589Banco Cedula SA N 0069 0012 0339 0062 0734 0003 -10232Banco Cacique SA N 0076 0027 0246 0076 0785 0016 -1317Banco Luso Brasileiro SA N 0067 0027 0207 0047 0852 0004 -3379Banco Pecunia SA N 0046 0038 0054 0006 0773 0003 -71Banco Zogbi SA N 0047 0037 0061 0010 0778 0001 -14931Banco Daycoval SA N 0054 0022 0126 0026 0782 0004 -5661Banco John Deere SA N 0056 0018 0129 0031 0756 0003 -8043Banco AJ Renner SA N 0053 0025 0080 0015 0829 0006 -2716ABN Amro F 0053 0038 0074 0012 0908 0002 -4751Chase F 0067 0014 0225 0047 0792 0008 -2693LLoyds F 0049 0025 0064 0012 0824 0003 -5227BankBoston F 0054 0037 0096 0020 0899 0006 -1701Santander Brasil F 0057 0033 0103 0019 0884 0008 -1511Citibank F 0059 0026 0154 0028 0871 0003 -4204BNL F 0052 0037 0097 0020 0840 0006 -28Sudameris F 0052 0045 0058 0005 0962 0011 -334Societe Generale F 0060 0023 0151 0031 0827 0006 -2924Europeu F 0050 0032 0066 0012 0849 0007 -2263ABC-Brasil F 0051 0025 0079 0014 0814 0003 -617Dresdner F 0080 0017 0276 0073 0816 0005 -3374AGF Braseg F 0050 0031 0093 0015 0796 0004 -4812HSBC F 0057 0043 0093 0011 0966 0006 -541Deutsche F 0066 0013 0155 0035 0858 0004 -3244BNP Paribas F 0050 0035 0067 0008 0822 0005 -3775Barclays F 0056 0024 0113 0025 0778 0007 -305Rabobank Int Brasil SA F 0057 0021 0163 0027 0842 0003 -5208B Nat de Paris Brasil SA F 0058 0022 0100 0029 0812 0006 -3343Ibibank SA - Banco Multiplo F 0057 0012 0099 0023 0780 0015 -1478Dresdner Bank - B Multiplo F 0087 0016 0244 0068 0770 0008 -2768Banco Westlb Do Brasil SA F 0063 0034 0106 0026 0841 0010 -1625Banco GE Capital SA F 0064 0032 0247 0046 0853 0010 -1522B Com Uruguai SA F 0073 0019 0191 0049 0833 0003 -50981S - State-owned bank N - National bank and F - Foreign bank

50

Table A11 Estimates of Lerner index and return to scale by bank - Model (6)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0036 0096 0015 0939 0007 -855Banrisul S 0050 0035 0098 0014 0938 0008 -82BEC S 0041 0019 0067 0012 0855 0009 -1644BRB S 0053 0029 0124 0018 0956 0002 -1996BB S 0051 0032 0088 0013 0954 0006 -807Caixa Economica Federal S 0054 0040 0094 0012 1014 0003 475B da Amazonia SA S 0053 0015 0103 0022 0846 0008 -205B do Estado Do Para SA S 0051 0028 0074 0013 0943 0004 -1319B do E Do Maranhao SA S 0041 0031 0059 0008 0950 0014 -346B do E Do Piauı SA - Bep S 0042 0028 0084 0012 0879 0004 -2727B do Estado De Sergipe SA S 0052 0022 0153 0022 0953 0003 -1377Nossa Caixa - N Banco SA S 0047 0032 0081 0014 0969 0004 -74Bradesco N 0052 0032 0097 0019 0898 0004 -2645Itau N 0054 0027 0190 0031 0877 0003 -4452Safra N 0049 0032 0100 0015 0872 0003 -5056Unibanco N 0043 0032 0067 0010 0878 0001 -8666Mercantil Do Brasil N 0053 0026 0087 0017 0938 0002 -3104BBM N 0066 0013 0251 0056 0792 0005 -4556BMC N 0041 0026 0069 0011 0850 0003 -4582BMG N 0067 0016 0228 0057 0781 0003 -6611JMalucelli N 0051 0022 0089 0017 0725 0003 -9344PEBB N 0046 0015 0157 0039 0728 0008 -3313SS N 0058 0025 0230 0046 0801 0007 -292Sofisa N 0053 0020 0119 0025 0809 0002 -8846BIC N 0060 0029 0262 0049 0852 0005 -2697Schahin N 0049 0025 0229 0040 0843 0006 -2523Stock N 0081 0017 0284 0072 0836 0005 -2986Pine N 0049 0021 0112 0019 0812 0004 -5267Socopa N 0050 0026 0095 0015 0900 0003 -3515Intercap N 0055 0021 0196 0035 0828 0006 -2899Indusval N 0061 0029 0262 0049 0863 0005 -2762Bonsucesso N 0052 0019 0123 0026 0791 0005 -3885Industrial do Brasil N 0046 0027 0088 0015 0816 0002 -8698Votorantim N 0051 0027 0139 0027 0813 0007 -262Cacique N 0039 0022 0050 0009 0784 0005 -4707Inter Amex N 0045 0027 0064 0012 0843 0006 -2493Alfa N 0044 0033 0068 0009 0805 0002 -12111Rendimento N 0050 0022 0073 0010 0883 0008 -1543Bancoob N 0066 0055 0072 0007 0856 0003 -4559Original N 0098 0020 0294 0094 0735 0006 -4509Banco Intermedium SA N 0057 0024 0085 0022 0756 0006 -4324

Table A11 ndash Continue on next page

51

Table A11 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0061 0017 0195 0048 0777 0003 -7233Banco BBN SA N 0042 0023 0059 0012 0831 0011 -1529B Cooperativo Sicredi SA N 0048 0035 0066 0009 0879 0005 -2672B Cooperativo do Brasil SA N 0046 0034 0119 0017 0917 0006 -1439Banco Topazio SA N 0070 0031 0129 0036 0853 0005 -2776Banco Gerador SA N 0086 0057 0148 0034 0867 0007 -1825Banco Randon SA N 0126 0028 0331 0114 0799 0005 -4136Parana Banco SA N 0039 0023 0082 0015 0798 0008 -2556Banco Triangulo SA N 0052 0025 0116 0025 0840 0004 -4363Banco Guanabara SA N 0048 0021 0100 0019 0792 0004 -5683Banco Cedula SA N 0067 0013 0356 0067 0749 0002 -10205Banco Cacique SA N 0067 0026 0232 0073 0792 0015 -1356Banco Luso Brasileiro SA N 0065 0025 0237 0052 0864 0004 -3163Banco Pecunia SA N 0037 0029 0045 0006 0786 0003 -7158Banco Zogbi SA N 0037 0027 0045 0007 0785 0002 -13921Banco Daycoval SA N 0053 0020 0120 0031 0787 0003 -6088Banco John Deere SA N 0043 0017 0099 0022 0764 0003 -8346Banco AJ Renner SA N 0050 0025 0080 0013 0840 0006 -2706ABN Amro F 0043 0035 0067 0008 0894 0002 -6685Chase F 0059 0014 0189 0040 0803 0007 -2772LLoyds F 0039 0021 0055 0012 0824 0003 -5536BankBoston F 0044 0029 0075 0015 0890 0006 -1965Santander Brasil F 0054 0028 0107 0024 0871 0008 -1694Citibank F 0054 0023 0133 0026 0863 0003 -4787BNL F 0042 0028 0078 0018 0843 0005 -2998Sudameris F 0041 0036 0052 0006 0948 0010 -491Societe Generale F 0054 0020 0118 0025 0834 0006 -2716Europeu F 0038 0029 0049 0008 0856 0006 -2239ABC-Brasil F 0046 0028 0084 0014 0816 0003 -6111Dresdner F 0063 0015 0239 0061 0823 0005 -3888AGF Braseg F 0047 0027 0074 0014 0807 0004 -4477HSBC F 0054 0032 0109 0018 0950 0006 -823Deutsche F 0058 0013 0122 0028 0863 0004 -305BNP Paribas F 0051 0032 0070 0011 0822 0004 -4145Barclays F 0064 0024 0128 0029 0802 0005 -4051Rabobank Int Brasil SA F 0051 0019 0130 0021 0846 0003 -4992B Nat de Paris Brasil SA F 0043 0019 0070 0019 0819 0005 -3429Ibibank SA - Banco Multiplo F 0049 0010 0083 0020 0785 0013 -161Dresdner Bank - B Multiplo F 0087 0016 0261 0066 0783 0007 -2901Banco Westlb Do Brasil SA F 0051 0030 0082 0019 0850 0009 -1643Banco GE Capital SA F 0053 0028 0239 0044 0859 0009 -1544B Com Uruguai SA F 0071 0017 0217 0054 0845 0003 -48451S - State-owned bank N - National bank and F - Foreign bank

52

Seacuterie de Textos para Discussatildeo do Curso de Ciecircncias Econocircmicas ndash FACEUFG ndash TD [078]

EDITORIAL FACE ndash Faculdade de Administraccedilatildeo Ciecircncias Contaacutebeis e Ciecircncias Econocircmicas Curso de Ciecircncias Econocircmicas Direccedilatildeo FACE Prof Moiseacutes Ferreira da Cunha Vice-Direccedilatildeo FACE Profordf Andreacutea Freire de Lucena Coordenaccedilatildeo do Curso de Ciecircncias Econocircmicas Prof Tiago Camarinha Lopes NEPEC ndash Nuacutecleo de Estudos e Pesquisas Econocircmicas Coordenaccedilatildeo Prof Seacutergio Fornazier Meyrelles Filho SEacuteRIE DE TEXTOS PARA DISCUSSAtildeO DO CURSO DE CIEcircNCIAS ECONOcircMICAS DA UFG Coordenaccedilatildeo e Equipe de Editoraccedilatildeo Prof Sandro Eduardo Monsueto Adriana Moura Guimaratildees Matheus Henrique de Arauacutejo Dutra

Endereccedilo Campus Samambaia Preacutedio da FACE ndash Rodovia GoiacircniaNova Veneza km 0 ndash CEP 74690-900 Goiacircnia ndash GO Tel (62) 3521 ndash 1390 URL httpwwwfaceufgbreconomia Publicaccedilatildeo cujo objetivo eacute divulgar resultados de estudos que contam com a participaccedilatildeo de pesquisadores do NEPEC As opiniotildees contidas nesta publicaccedilatildeo satildeo de inteira responsabilidade do(s) autor(es) natildeo representando necessariamente o ponto de vista do NEPEC ou da FACEUFG Eacute permitida a reproduccedilatildeo desde que citada a fonte

Page 38: 1(3(& )$&( 8)* · The Dark Side of Prudential MeasuresI Paulo R. Scalco a, Benjamin M. Tabak1, Anderson M. Teixeira aFaculty of Management, Accounting and Economics, Federal University

Figure 7 Frequency distribution of the returns to scale indexes for each model and density estimationKernel by type of control

36

Table 1 Variables used to IDF estimatation

Variabel Description SourceBasic variables

TR Total Revenue = Gross Insterest Income (a) + Bank-ing Service Fee Income (d1) + Banking Fee Income(d2) + Other Operating Income (d7)

Inc statIFData

TC Total Cost = Interest Expenses (b) + Personnel Ex-penses (d3) + Administrative Expenses (d4) + TaxExpenses (d5) + Other Operating Expenses (d8)

Inc statIFData

Y Loan Lease and Other Credit Operations by RiskLevel

SummaryIFData

x1 Personnel Expenses (d3) Inc statIFDatax2 Funding (e) LiabilitiesIFDatax3 Equity (j) LiabilitiesIFData

Model variabelslnRC Log of Revenue-Cost ratiolnY Log of total loanlnx1 Log of personnel expenses and equity ratio (x1x3)lnx2 Log of funding and equity ratio (x2x3)T Time

Prudential variables - Deterministic mark-up parametersHHIt HHIt =

sumS2it where Sit

2 is market share of totalasset of bank i on time t

Inc statIFData

cb cumulative change of capital buffer Cerutti et al (2016)cr cumulative change of capital requirement Cerutti et al (2016)ltv cumulative change of loan-to-value Cerutti et al (2016)

rr foreign cumulative change of reserve requirement (foreigncurrency)

Cerutti et al (2016)

rr local cumulative change of reserve requirement (domesticcurrency)

Cerutti et al (2016)

37

Table 2 Results of IDF estimation

Parameters VariablesEstimates

Model Model Model Model Model Model(1) (2) (3) (4) (5) (6)

Parametros da funcao insumo distanciaαY Y lnY -0013 -0003 -0004 -0012 -0011 -0005

(000) (000) (000) (000) (000) (000)α1Y lnx1 -0096 -0095 -0094 -0094 -0096 -0090

(001) (001) (001) (001) (001) (001)α2Y lnx2 -0019 -0022 -0022 -0019 -0020 -0021

(001) (001) (001) (001) (001) (001)αY T T -0000 -0000 -0000 -0000 -0000 -0000

(000) (000) (000) (000) (000) (000)αY const 1153 1010 1035 1134 1129 1057

(005) (007) (005) (005) (005) (006)

Deterministic Mark-up parametersδ1 HHI 764157

(12270)δ1 Capital

Buffer7586(065)

δ2 CapitalReq

4696(160)

δ1 Loan-to-value38511(671)

δ1 ResR(foreign)10730(433)

δ2 ResR(local)2869(126)

δ1 Cum Prud3237(020)

δ0 const minus10601minus10194minus5306 minus9866 minus8577 minus4993(032) (2064) (316) (079) (119) (122)

Distribution of u and vσ2u 2840 1418 1620 2643 2441 1593σ2v 0118 0121 0120 0118 0118 0120λ 2402 1172 1354 2233 2065 1325Log Lik 887404 922033 918606 896019 891991 907817

EstimatesEstimates of Mark-up (u)Avg 0075 0065 0068 0074 0075 00691st quartile 0052 0038 0051 0051 0051 0044Median 0062 0048 0060 0060 0061 00543st quartile 0080 0074 0079 0079 0079 0075std-dev 0053 0054 0053 0053 0054 0054

Note p lt 010 p lt 005 and p lt 001

38

Table 3 Estimates of Lerner index general and by type of control

EstimatesModel Model Model Model Model Model

(1) (2) (3) (4) (5) (6)Mark-up (L) generalAverage 0058 0051 0053 0057 0058 0053std-dev 0032 0034 0034 0032 0032 00331st quartile 0043 0031 0034 0041 0042 0036Median 0051 0039 0044 0050 0050 00453st quartile 0063 0060 0059 0063 0063 0060Mark-up (L) State-owned banksAverage 0057 0047 0049 0056 0056 0050std-dev 0018 0017 0017 0018 0016 00161st quartile 0047 0035 0038 0045 0046 0040Median 0054 0041 0046 0053 0053 00463st quartile 0064 0056 0056 0064 0063 0057Mark-up (L) National banksAverage 0057 0052 0054 0057 0057 0054std-dev 0034 0038 0038 0035 0035 00371st quartile 0041 0030 0033 0040 0041 0035Median 0050 0038 0043 0048 0049 00443st quartile 0061 0061 0060 0061 0062 0060Mark-up (L) Foreign banksAverage 0061 0050 0053 0059 0060 0054std-dev 0034 0033 0032 0034 0034 00321st quartile 0042 0031 0034 0041 0042 0036Median 0052 0040 0044 0051 0051 00453st quartile 0068 0059 0060 0066 0066 0061

Table 4 Estimates of returns to scale by control type and general

ModelState-owned

banksNational

banksForeignbanks

General std-dev Min Max

1 0944 0824 0842 0848 0073 0665 11242 0940 0829 0843 0851 0066 0690 10733 0938 0827 0842 0849 0066 0689 10764 0941 0824 0842 0848 0071 0671 11115 0942 0824 0841 0848 0072 0669 11136 0937 0829 0844 0850 0065 0692 1073

39

Appendix A Attachment Tables

Table A5 Cumulative change on Prudential Measures intensity

TimeCapitalBuffer 2

(cb)

CapitalReq(cr)

Loan-to-Value(ltv)

Reserve Reqlocal curr

(RR local)

Reserve Reqforeign cur

(RR foreign)

CumulativePrudential 3

(Cum Prud)2000q2 -1 0 0 0 -2 -32000q4 -1 0 0 0 -2 -32001q2 -1 0 0 0 -2 -32001q4 0 0 0 0 -1 -12002q2 0 0 0 0 0 02002q4 2 0 0 0 2 42003q2 0 0 0 0 3 32003q4 0 0 0 0 2 22004q2 0 0 0 0 2 22004q4 0 0 0 0 2 22005q2 0 0 0 0 2 22005q4 0 0 0 0 2 22006q2 0 0 0 0 2 22006q4 0 0 0 0 2 22007q2 2 0 0 0 2 42007q4 2 0 0 0 2 42008q2 2 0 0 0 2 42008q4 2 0 0 0 1 32009q2 2 0 0 0 0 22009q4 2 0 0 0 -1 12010q2 2 0 0 0 1 32010q4 3 0 0 0 3 62011q2 3 0 0 1 3 72011q4 4 0 0 2 3 92012q2 3 1 0 2 3 92012q4 3 1 0 1 2 72013q2 3 2 0 0 2 72013q4 3 2 1 0 2 82014q2 3 2 1 0 2 82014q4 2 2 1 0 3 82Sum of capital buffer and others 3Aggregate measure (It is the sum of the change of all other instrument)

40

Table A6 Estimates of Lerner index and return to scale by bank - Model (1)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0042 0082 0009 0940 0007 -85Banrisul S 0055 0041 0084 0009 0952 0008 -635BEC S 0048 0021 0077 0016 0844 0009 -1756BRB S 0058 0033 0100 0015 0961 0003 -1533BB S 0058 0039 0098 0012 0990 0006 -173Caixa Economica Federal S 0063 0051 0174 0022 1052 0004 1458B da Amazonia SA S 0057 0016 0124 0023 0844 0008 -2028B do Estado Do Para SA S 0061 0026 0110 0022 0936 0004 -1764B do Est do Maranhao SA S 0055 0046 0065 0006 0935 0014 -455B do Est do Piauı SA - Bep S 0057 0030 0155 0029 0862 0004 -326B do Estado De Sergipe SA S 0061 0024 0135 0022 0947 0004 -1453Nossa Caixa - N Banco SA S 0057 0036 0090 0013 0981 0004 -444Bradesco N 0056 0038 0114 0015 0925 0004 -1945Itau N 0059 0031 0220 0033 0901 0003 -3797Safra N 0053 0037 0085 0009 0885 0003 -4215Unibanco N 0055 0037 0088 0014 0897 0001 -7054Mercantil Do Brasil N 0057 0027 0077 0011 0945 0002 -2527BBM N 0076 0016 0300 0065 0783 0005 -4464BMC N 0052 0030 0079 0012 0845 0003 -4703BMG N 0065 0017 0208 0045 0779 0003 -729JMalucelli N 0047 0022 0069 0013 0718 0003 -8765PEBB N 0065 0017 0181 0047 0698 0008 -3914SS N 0057 0034 0220 0037 0799 0007 -2839Sofisa N 0054 0021 0092 0020 0804 0002 -9903BIC N 0060 0034 0236 0040 0855 0005 -276Schahin N 0056 0028 0214 0035 0835 0006 -262Stock N 0081 0020 0267 0067 0817 0006 -3107Pine N 0052 0022 0108 0019 0808 0004 -545Socopa N 0056 0027 0120 0017 0886 0003 -3806Intercap N 0060 0023 0212 0037 0812 0007 -2851Indusval N 0062 0030 0246 0043 0857 0005 -3139Bonsucesso N 0052 0020 0092 0018 0779 0005 -4033Industrial do Brasil N 0051 0031 0081 0016 0807 0002 -952Votorantim N 0052 0037 0107 0017 0819 0009 -2117Cacique N 0053 0024 0071 0014 0774 0005 -4621Inter Amex N 0055 0037 0068 0010 0837 0008 -2158Alfa N 0048 0041 0059 0005 0806 0002 -11303Rendimento N 0053 0022 0080 0012 0872 0008 -1562Bancoob N 0052 0046 0056 0003 0856 0003 -5061Original N 0085 0017 0279 0090 0729 0007 -4163Banco Intermedium SA N 0052 0028 0070 0015 0743 0006 -3973

Table A6 ndash Continue on next page

41

Table A6 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0225 0049 0761 0003 -7509Banco BBN SA N 0053 0027 0077 0014 0817 0012 -1509B Cooperativo Sicredi SA N 0052 0043 0062 0005 0875 0005 -2477B Cooperativo do Brasil SA N 0056 0046 0142 0020 0910 0006 -1479Banco Topazio SA N 0060 0035 0110 0027 0834 0006 -2966Banco Gerador SA N 0069 0045 0122 0028 0852 0008 -1968Banco Randon SA N 0109 0023 0320 0109 0783 0005 -4158Parana Banco SA N 0050 0026 0108 0020 0784 0008 -2799Banco Triangulo SA N 0055 0028 0091 0020 0833 0004 -4201Banco Guanabara SA N 0052 0024 0169 0025 0777 0004 -5588Banco Cedula SA N 0068 0012 0339 0061 0731 0003 -10236Banco Cacique SA N 0077 0028 0248 0077 0785 0016 -1309B Luso Brasileiro SA N 0065 0027 0208 0043 0849 0004 -349Banco Pecunia SA N 0047 0039 0060 0006 0770 0003 -7086Banco Zogbi SA N 0051 0038 0067 0011 0778 0001 -15193Banco Daycoval SA N 0054 0023 0131 0026 0783 0004 -5522B John Deere SA N 0059 0018 0133 0033 0756 0003 -7955Banco AJ Renner SA N 0053 0025 0081 0015 0827 0006 -2742ABN Amro F 0056 0039 0079 0014 0914 0002 -427Chase F 0068 0014 0228 0049 0790 0008 -2678LLoyds F 0053 0027 0064 0012 0825 0003 -5159BankBoston F 0057 0040 0099 0020 0902 0006 -1638Santander Brasil F 0057 0034 0097 0017 0890 0008 -146Citibank F 0059 0026 0153 0028 0875 0003 -4039BNL F 0055 0041 0097 0019 0840 0006 -2767Sudameris F 0056 0048 0065 0005 0966 0012 -297Societe Generale F 0060 0024 0153 0031 0826 0006 -299Europeu F 0054 0032 0073 0013 0848 0007 -2287ABC-Brasil F 0052 0025 0082 0014 0815 0003 -6207Dresdner F 0083 0017 0280 0074 0815 0006 -3234AGF Braseg F 0051 0031 0100 0016 0794 0004 -4923HSBC F 0057 0046 0092 0010 0971 0006 -466Deutsche F 0068 0013 0160 0036 0857 0004 -3335BNP Paribas F 0050 0037 0068 0007 0824 0005 -3665Barclays F 0052 0024 0089 0021 0771 0008 -2787Rabobank Int Brasil SA F 0058 0022 0166 0028 0842 0003 -5284B Nat de Paris Br SA F 0063 0023 0109 0033 0811 0006 -3331Ibibank SA - Banco Multiplo F 0059 0012 0106 0024 0781 0015 -1441Dresdner Bank - B Multiplo F 0086 0016 0244 0068 0768 0008 -2746Banco Westlb Do Brasil SA F 0064 0034 0108 0027 0839 0010 -1626Banco GE Capital SA F 0067 0032 0247 0047 0852 0010 -1527B Com Uruguai SA F 0072 0020 0192 0049 0830 0003 -52281S - State-owned bank N - National bank and F - Foreign bank

42

Table A7 Estimates of Lerner index and return to scale by bank - Model (2)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0049 0032 0085 0016 0944 0008 -716Banrisul S 0049 0032 0106 0017 0939 0008 -75BEC S 0032 0016 0046 0008 0860 0009 -1489BRB S 0049 0030 0112 0017 0961 0002 -1681BB S 0049 0032 0091 0016 0948 0006 -845Caixa Economica Federal S 0052 0034 0081 0014 1012 0003 382B da Amazonia SA S 0053 0015 0140 0028 0847 0008 -1922B do Estado Do Para SA S 0046 0029 0063 0009 0952 0005 -963B do Est do Maranhao SA S 0036 0029 0045 0005 0963 0016 -235B do Est do Piauı SA - Bep S 0036 0023 0071 0011 0888 0005 -2314B do Estado De Sergipe SA S 0050 0020 0155 0024 0962 0004 -1043Nossa Caixa - N Banco SA S 0039 0027 0074 0011 0972 0005 -601Bradesco N 0050 0028 0116 0023 0890 0004 -2618Itau N 0052 0024 0222 0037 0869 0003 -4269Safra N 0046 0028 0100 0017 0867 0003 -5042Unibanco N 0035 0028 0054 0007 0873 0001 -8511Mercantil Do Brasil N 0051 0029 0093 0019 0941 0002 -2837BBM N 0063 0012 0213 0048 0790 0005 -4494BMC N 0034 0023 0049 0007 0851 0003 -4266BMG N 0065 0015 0233 0057 0776 0004 -6135JMalucelli N 0052 0018 0080 0016 0720 0003 -9566PEBB N 0037 0014 0108 0025 0732 0009 -3086SS N 0056 0024 0236 0046 0797 0007 -2849Sofisa N 0052 0018 0107 0028 0808 0002 -8115BIC N 0057 0026 0259 0050 0850 0006 -2531Schahin N 0047 0022 0225 0041 0845 0007 -2359Stock N 0078 0017 0287 0071 0843 0006 -2782Pine N 0048 0018 0114 0023 0811 0004 -4973Socopa N 0050 0022 0136 0024 0908 0003 -3089Intercap N 0051 0019 0133 0031 0832 0006 -2759Indusval N 0061 0023 0267 0052 0866 0006 -2437Bonsucesso N 0050 0017 0109 0026 0791 0006 -3655Industrial do Brasil N 0044 0024 0079 0015 0816 0002 -8095Votorantim N 0048 0025 0120 0026 0807 0007 -2721Cacique N 0033 0020 0039 0006 0782 0005 -4597Inter Amex N 0035 0025 0045 0007 0844 0006 -2419Alfa N 0042 0029 0069 0013 0801 0002 -12139Rendimento N 0049 0019 0077 0015 0889 0008 -1394Bancoob N 0065 0057 0073 0006 0855 0003 -4199Original N 0099 0019 0299 0096 0732 0006 -4473Banco Intermedium SA N 0062 0032 0081 0019 0754 0006 -4393

Table A7 ndash Continue on next page

43

Table A7 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0059 0016 0239 0051 0778 0003 -6944Banco BBN SA N 0035 0020 0053 0009 0834 0011 -1466B Cooperativo Sicredi SA N 0045 0032 0070 0011 0881 0005 -2581B Cooperativo do Brasil SA N 0045 0029 0147 0025 0922 0006 -1274Banco Topazio SA N 0076 0043 0138 0038 0861 0005 -2569Banco Gerador SA N 0089 0054 0153 0037 0874 0008 -1645Banco Randon SA N 0122 0029 0335 0113 0803 0005 -388Parana Banco SA N 0033 0020 0062 0011 0800 0009 -234Banco Triangulo SA N 0052 0022 0105 0027 0841 0004 -4148Banco Guanabara SA N 0046 0019 0091 0020 0793 0004 -5561Banco Cedula SA N 0062 0011 0359 0067 0749 0003 -9911Banco Cacique SA N 0049 0020 0157 0048 0791 0016 -1315Banco Luso Brasileiro SA N 0066 0022 0241 0055 0870 0005 -2851Banco Pecunia SA N 0032 0027 0036 0003 0787 0003 -6876Banco Zogbi SA N 0032 0026 0037 0005 0784 0002 -13006Banco Daycoval SA N 0053 0019 0139 0036 0784 0004 -6065Banco John Deere SA N 0035 0016 0073 0016 0761 0003 -8278Banco AJ Renner SA N 0047 0021 0083 0015 0844 0006 -2553ABN Amro F 0035 0027 0047 0006 0889 0002 -7231Chase F 0054 0013 0157 0033 0804 0007 -2702LLoyds F 0033 0020 0043 0008 0821 0003 -5429BankBoston F 0036 0026 0060 0011 0888 0006 -1917Santander Brasil F 0055 0025 0115 0030 0864 0008 -1647Citibank F 0051 0020 0132 0025 0860 0003 -4735BNL F 0036 0026 0062 0012 0843 0005 -2959Sudameris F 0036 0031 0040 0004 0949 0011 -468Societe Generale F 0051 0018 0104 0024 0835 0007 -2454Europeu F 0034 0025 0041 0006 0859 0007 -2076ABC-Brasil F 0043 0026 0086 0015 0813 0003 -5797Dresdner F 0050 0014 0190 0046 0824 0004 -3975AGF Braseg F 0044 0024 0068 0014 0810 0005 -4109HSBC F 0052 0031 0110 0021 0948 0007 -776Deutsche F 0054 0012 0166 0030 0866 0005 -2754BNP Paribas F 0049 0028 0073 0013 0818 0004 -4092Barclays F 0065 0028 0121 0027 0811 0005 -4028Rabobank Int Brasil SA F 0047 0017 0102 0017 0845 0003 -4605B Nat de Paris Brasil SA F 0036 0017 0054 0013 0819 0005 -3304Ibibank SA - Banco Multiplo F 0043 0010 0114 0025 0782 0013 -1623Dresdner Bank - B Multiplo F 0096 0015 0270 0076 0785 0007 -2924Banco Westlb Do Brasil SA F 0041 0026 0062 0013 0853 0010 -154Banco GE Capital SA F 0054 0026 0253 0049 0862 0010 -1444B Com Uruguai SA F 0070 0017 0220 0058 0849 0003 -4471S - State-owned bank N - National bank and F - Foreign bank

44

Table A8 Estimates of Lerner index and return to scale by bank - Model (3)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0034 0090 0016 0941 0008 -772Banrisul S 0051 0032 0108 0016 0938 0008 -772BEC S 0035 0018 0051 0009 0856 0009 -1562BRB S 0052 0032 0122 0018 0958 0002 -1793BB S 0052 0035 0085 0015 0951 0006 -809Caixa Economica Federal S 0054 0039 0098 0014 1015 0003 465B da Amazonia SA S 0053 0014 0113 0024 0845 0008 -1977B do Estado Do Para SA S 0049 0028 0071 0010 0947 0005 -1117B do E do Maranhao SA S 0041 0032 0059 0008 0957 0015 -285B do E do Piauı SA - Bep S 0041 0028 0086 0014 0882 0005 -2518B do Estado De Sergipe SA S 0052 0021 0145 0022 0957 0004 -1182Nossa Caixa - N Banco SA S 0045 0029 0081 0015 0971 0005 -651Bradesco N 0052 0029 0101 0021 0893 0004 -2614Itau N 0054 0025 0203 0034 0872 0003 -4328Safra N 0048 0029 0093 0015 0869 0003 -5008Unibanco N 0041 0028 0067 0010 0874 0001 -8514Mercantil Do Brasil N 0053 0026 0095 0018 0939 0002 -29BBM N 0067 0013 0250 0056 0789 0005 -4501BMC N 0038 0024 0069 0010 0849 0003 -4408BMG N 0067 0015 0233 0058 0776 0004 -6374JMalucelli N 0052 0022 0087 0016 0720 0003 -9426PEBB N 0045 0014 0158 0040 0727 0009 -3192SS N 0057 0025 0231 0046 0797 0007 -287Sofisa N 0053 0018 0116 0026 0807 0002 -8444BIC N 0059 0030 0250 0049 0850 0006 -2596Schahin N 0048 0023 0220 0038 0842 0007 -2424Stock N 0083 0017 0304 0077 0838 0006 -2873Pine N 0049 0019 0105 0020 0810 0004 -5103Socopa N 0050 0026 0111 0018 0903 0003 -3253Intercap N 0055 0020 0196 0036 0828 0006 -283Indusval N 0062 0029 0282 0052 0863 0005 -2588Bonsucesso N 0051 0017 0118 0025 0789 0006 -3771Industrial do Brasil N 0046 0025 0086 0015 0815 0002 -8341Votorantim N 0050 0027 0128 0027 0809 0007 -2664Cacique N 0037 0020 0048 0009 0781 0005 -4645Inter Amex N 0039 0026 0058 0009 0842 0006 -2468Alfa N 0044 0031 0072 0011 0801 0002 -11998Rendimento N 0049 0022 0078 0011 0885 0008 -1463Bancoob N 0066 0057 0077 0007 0854 0003 -4342Original N 0102 0019 0301 0096 0730 0006 -4526Banco Intermedium SA N 0059 0027 0083 0020 0752 0006 -4354

Table A8 ndash Continue on next page

45

Table A8 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0017 0217 0054 0776 0003 -7084Banco BBN SA N 0038 0022 0058 0010 0831 0011 -1492B Cooperativo Sicredi SA N 0047 0035 0071 0010 0879 0005 -259B Cooperativo do Brasil SA N 0046 0035 0128 0020 0919 0006 -1339Banco Topazio SA N 0075 0036 0153 0041 0855 0005 -2657Banco Gerador SA N 0091 0057 0144 0034 0869 0008 -173Banco Randon SA N 0124 0029 0332 0112 0799 0005 -4023Parana Banco SA N 0036 0021 0071 0012 0797 0008 -2452Banco Triangulo SA N 0053 0023 0115 0027 0839 0004 -4256Banco Guanabara SA N 0047 0020 0100 0019 0790 0004 -561Banco Cedula SA N 0066 0012 0362 0068 0747 0003 -10082Banco Cacique SA N 0063 0026 0231 0074 0789 0016 -1336Banco Luso Brasileiro SA N 0066 0026 0249 0053 0865 0005 -2985Banco Pecunia SA N 0034 0029 0041 0004 0784 0003 -7038Banco Zogbi SA N 0036 0027 0046 0006 0782 0002 -13399Banco Daycoval SA N 0054 0019 0131 0034 0784 0004 -607Banco John Deere SA N 0039 0015 0083 0018 0761 0003 -8316Banco AJ Renner SA N 0049 0024 0073 0013 0840 0006 -2621ABN Amro F 0041 0030 0066 0009 0890 0002 -6866Chase F 0059 0013 0173 0039 0801 0007 -2733LLoyds F 0038 0021 0055 0010 0821 0003 -5484BankBoston F 0040 0028 0063 0012 0888 0006 -1931Santander Brasil F 0056 0028 0107 0027 0866 0008 -1663Citibank F 0052 0022 0123 0023 0860 0003 -4735BNL F 0039 0028 0063 0014 0841 0005 -2966Sudameris F 0041 0036 0052 0006 0948 0011 -473Societe Generale F 0052 0020 0103 0022 0833 0006 -2579Europeu F 0038 0030 0049 0007 0856 0007 -2153ABC-Brasil F 0046 0029 0079 0014 0813 0003 -5935Dresdner F 0055 0014 0212 0052 0822 0005 -3913AGF Braseg F 0046 0027 0071 0014 0806 0005 -4276HSBC F 0053 0032 0101 0019 0949 0007 -784Deutsche F 0058 0013 0141 0029 0863 0005 -2878BNP Paribas F 0051 0030 0074 0012 0818 0004 -4118Barclays F 0066 0025 0130 0030 0805 0005 -4123Rabobank Int Brasil SA F 0049 0019 0109 0018 0844 0003 -4752B Nat de Paris Brasil SA F 0041 0019 0069 0018 0817 0005 -3368Ibibank SA - Banco Multiplo F 0046 0010 0095 0021 0781 0014 -1617Dresdner Bank - B Multiplo F 0093 0017 0282 0072 0782 0008 -2899Banco Westlb Do Brasil SA F 0044 0027 0069 0015 0850 0009 -1591Banco GE Capital SA F 0055 0026 0249 0046 0859 0009 -1489B Com Uruguai SA F 0071 0017 0228 0056 0845 0003 -46241S - State-owned bank N - National bank and F - Foreign bank

46

Table A9 Estimates of Lerner index and return to scale by bank - Model (4)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0054 0041 0078 0011 0939 0007 -873Banrisul S 0055 0040 0106 0014 0948 0008 -692BEC S 0046 0020 0072 0014 0846 0009 -1746BRB S 0057 0032 0094 0016 0959 0002 -1673BB S 0057 0038 0095 0014 0981 0006 -33Caixa Economica Federal S 0061 0049 0165 0021 1042 0003 1249B da Amazonia SA S 0056 0015 0117 0022 0844 0008 -2047B do Estado Do Para SA S 0059 0025 0103 0020 0936 0004 -1701B do E Do Maranhao SA S 0052 0044 0062 0005 0936 0014 -448B do E Do Piauı SA - Bep S 0054 0029 0147 0028 0865 0004 -3201B do Estado De Sergipe SA S 0061 0023 0168 0026 0947 0004 -1484Nossa Caixa - N Banco SA S 0054 0035 0085 0012 0977 0004 -547Bradesco N 0056 0036 0107 0017 0919 0004 -2123Itau N 0058 0030 0212 0032 0896 0003 -3979Safra N 0052 0035 0107 0013 0882 0003 -445Unibanco N 0052 0035 0082 0013 0892 0001 -7446Mercantil Do Brasil N 0057 0027 0093 0015 0942 0002 -2687BBM N 0075 0015 0294 0064 0784 0005 -4512BMC N 0050 0029 0074 0011 0846 0003 -472BMG N 0065 0016 0202 0047 0779 0003 -7192JMalucelli N 0048 0022 0071 0014 0720 0003 -8923PEBB N 0061 0016 0172 0044 0704 0008 -382SS N 0056 0033 0213 0037 0799 0007 -2875Sofisa N 0053 0020 0087 0019 0805 0002 -9731BIC N 0061 0033 0269 0048 0854 0005 -2768Schahin N 0053 0027 0205 0034 0836 0006 -2627Stock N 0081 0020 0265 0068 0820 0006 -3122Pine N 0052 0022 0118 0021 0808 0004 -5467Socopa N 0054 0026 0114 0016 0888 0003 -3785Intercap N 0057 0023 0203 0035 0815 0006 -2877Indusval N 0062 0029 0239 0043 0857 0005 -3085Bonsucesso N 0052 0019 0088 0018 0782 0005 -403Industrial do Brasil N 0050 0030 0076 0015 0809 0002 -9427Votorantim N 0051 0036 0102 0017 0817 0008 -2222Cacique N 0050 0023 0067 0013 0776 0005 -4659Inter Amex N 0052 0035 0064 0009 0837 0007 -2226Alfa N 0048 0039 0071 0007 0805 0002 -11484Rendimento N 0052 0022 0076 0013 0874 0008 -1571Bancoob N 0057 0045 0071 0011 0855 0003 -5022Original N 0094 0017 0278 0090 0730 0006 -4242Banco Intermedium SA N 0049 0027 0065 0014 0746 0006 -4054

Table A9 ndash Continue on next page

47

Table A9 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0019 0220 0050 0764 0003 -7516Banco BBN SA N 0050 0027 0072 0013 0819 0012 -1529B Cooperativo Sicredi SA N 0051 0041 0068 0006 0875 0005 -2551B Cooperativo do Brasil SA N 0053 0044 0134 0018 0910 0006 -151Banco Topazio SA N 0066 0035 0128 0036 0837 0005 -2981Banco Gerador SA N 0082 0045 0157 0043 0854 0007 -1967Banco Randon SA N 0106 0026 0312 0105 0786 0005 -4204Parana Banco SA N 0048 0025 0102 0018 0787 0008 -2768Banco Triangulo SA N 0054 0027 0088 0021 0834 0004 -427Banco Guanabara SA N 0051 0023 0161 0025 0780 0004 -5659Banco Cedula SA N 0069 0012 0360 0065 0735 0003 -1028Banco Cacique SA N 0073 0027 0240 0075 0786 0016 -1327Banco Luso Brasileiro SA N 0065 0026 0242 0047 0852 0004 -346Banco Pecunia SA N 0045 0037 0056 0006 0773 0003 -7139Banco Zogbi SA N 0048 0036 0064 0010 0779 0001 -15057Banco Daycoval SA N 0055 0022 0126 0030 0784 0004 -568Banco John Deere SA N 0056 0018 0125 0031 0757 0003 -8084Banco AJ Renner SA N 0051 0025 0077 0013 0829 0006 -2763ABN Amro F 0053 0038 0074 0013 0909 0002 -4803Chase F 0066 0014 0220 0046 0793 0008 -2711LLoyds F 0050 0026 0060 0011 0825 0003 -5323BankBoston F 0054 0038 0092 0018 0899 0006 -1734Santander Brasil F 0056 0033 0098 0019 0885 0007 -1529Citibank F 0059 0025 0145 0030 0872 0003 -421BNL F 0052 0039 0091 0018 0840 0006 -2854Sudameris F 0053 0046 0062 0005 0961 0011 -352Societe Generale F 0058 0023 0144 0028 0827 0006 -2968Europeu F 0052 0031 0069 0012 0849 0007 -23ABC-Brasil F 0051 0028 0091 0015 0815 0003 -6225Dresdner F 0078 0017 0271 0071 0816 0005 -339AGF Braseg F 0050 0030 0094 0015 0797 0004 -4873HSBC F 0057 0045 0116 0016 0966 0006 -562Deutsche F 0066 0013 0151 0034 0858 0004 -3316BNP Paribas F 0050 0036 0071 0010 0823 0005 -3772Barclays F 0057 0024 0102 0025 0777 0007 -3003Rabobank Int Brasil SA F 0057 0021 0157 0026 0842 0003 -5266B Nat de Paris Brasil SA F 0059 0023 0102 0030 0812 0006 -3387Ibibank SA - Banco Multiplo F 0056 0012 0100 0023 0781 0015 -148Dresdner Bank - B Multiplo F 0084 0016 0237 0064 0771 0008 -2798Banco Westlb Do Brasil SA F 0061 0033 0101 0025 0841 0010 -1646Banco GE Capital SA F 0063 0031 0238 0044 0853 0010 -1548B Com Uruguai SA F 0074 0020 0226 0056 0833 0003 -51921S - State-owned bank N - National bank and F - Foreign bank

48

Table A10 Estimates of Lerner index and return to scale by bank - Model (5)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0043 0093 0012 0940 0007 -834Banrisul S 0054 0041 0083 0009 0949 0008 -668BEC S 0046 0020 0075 0014 0846 0009 -1719BRB S 0058 0032 0121 0017 0960 0002 -1607BB S 0056 0037 0087 0010 0981 0006 -321Caixa Economica Federal S 0061 0050 0156 0019 1044 0003 1282B da Amazonia SA S 0057 0016 0115 0023 0843 0008 -2023B do Estado Do Para SA S 0059 0027 0102 0020 0938 0004 -1608B do E Do Maranhao SA S 0052 0042 0064 0006 0939 0015 -418B do E Do Piauı SA - Bep S 0054 0029 0138 0025 0866 0004 -3097B do Estado De Sergipe SA S 0059 0024 0136 0020 0949 0004 -1404Nossa Caixa - N Banco SA S 0055 0036 0088 0013 0979 0004 -494Bradesco N 0056 0037 0108 0016 0918 0004 -2108Itau N 0058 0031 0213 0033 0894 0003 -3968Safra N 0052 0036 0086 0010 0881 0003 -4388Unibanco N 0053 0037 0085 0013 0892 0001 -7433Mercantil Do Brasil N 0057 0027 0086 0012 0943 0002 -2619BBM N 0075 0015 0292 0063 0784 0005 -447BMC N 0050 0029 0077 0012 0846 0003 -4648BMG N 0067 0017 0220 0051 0777 0003 -7116JMalucelli N 0049 0022 0083 0016 0718 0003 -8879PEBB N 0060 0017 0176 0044 0704 0008 -3743SS N 0059 0032 0223 0041 0798 0007 -2847Sofisa N 0055 0021 0112 0022 0804 0002 -9624BIC N 0060 0032 0238 0041 0853 0005 -2725Schahin N 0055 0028 0228 0038 0836 0006 -2575Stock N 0082 0019 0267 0068 0821 0006 -3063Pine N 0052 0022 0096 0018 0808 0004 -5392Socopa N 0055 0027 0113 0016 0889 0003 -3694Intercap N 0060 0023 0210 0037 0814 0006 -2856Indusval N 0062 0029 0245 0044 0857 0005 -3023Bonsucesso N 0053 0020 0113 0022 0781 0005 -3999Industrial do Brasil N 0051 0030 0084 0016 0808 0002 -9274Votorantim N 0052 0037 0130 0022 0816 0008 -2227Cacique N 0049 0024 0065 0012 0775 0005 -4632Inter Amex N 0052 0034 0067 0011 0837 0007 -2236Alfa N 0047 0041 0056 0004 0804 0002 -11448Rendimento N 0053 0022 0079 0011 0874 0008 -1549Bancoob N 0056 0050 0064 0005 0856 0003 -4874Original N 0087 0018 0288 0093 0728 0006 -4259Banco Intermedium SA N 0055 0027 0078 0019 0744 0006 -4047

Table A10 ndash Continue on next page

49

Table A10 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0217 0048 0763 0003 -7417Banco BBN SA N 0051 0026 0075 0014 0820 0012 -1504B Cooperativo Sicredi SA N 0051 0040 0061 0005 0876 0005 -2499B Cooperativo do Brasil SA N 0054 0043 0136 0019 0912 0006 -1445Banco Topazio SA N 0061 0034 0109 0026 0838 0006 -2897Banco Gerador SA N 0073 0052 0124 0026 0855 0008 -1918Banco Randon SA N 0120 0024 0327 0114 0785 0005 -4153Parana Banco SA N 0048 0026 0106 0020 0786 0008 -2732Banco Triangulo SA N 0055 0027 0111 0022 0834 0004 -4227Banco Guanabara SA N 0052 0024 0153 0024 0779 0004 -5589Banco Cedula SA N 0069 0012 0339 0062 0734 0003 -10232Banco Cacique SA N 0076 0027 0246 0076 0785 0016 -1317Banco Luso Brasileiro SA N 0067 0027 0207 0047 0852 0004 -3379Banco Pecunia SA N 0046 0038 0054 0006 0773 0003 -71Banco Zogbi SA N 0047 0037 0061 0010 0778 0001 -14931Banco Daycoval SA N 0054 0022 0126 0026 0782 0004 -5661Banco John Deere SA N 0056 0018 0129 0031 0756 0003 -8043Banco AJ Renner SA N 0053 0025 0080 0015 0829 0006 -2716ABN Amro F 0053 0038 0074 0012 0908 0002 -4751Chase F 0067 0014 0225 0047 0792 0008 -2693LLoyds F 0049 0025 0064 0012 0824 0003 -5227BankBoston F 0054 0037 0096 0020 0899 0006 -1701Santander Brasil F 0057 0033 0103 0019 0884 0008 -1511Citibank F 0059 0026 0154 0028 0871 0003 -4204BNL F 0052 0037 0097 0020 0840 0006 -28Sudameris F 0052 0045 0058 0005 0962 0011 -334Societe Generale F 0060 0023 0151 0031 0827 0006 -2924Europeu F 0050 0032 0066 0012 0849 0007 -2263ABC-Brasil F 0051 0025 0079 0014 0814 0003 -617Dresdner F 0080 0017 0276 0073 0816 0005 -3374AGF Braseg F 0050 0031 0093 0015 0796 0004 -4812HSBC F 0057 0043 0093 0011 0966 0006 -541Deutsche F 0066 0013 0155 0035 0858 0004 -3244BNP Paribas F 0050 0035 0067 0008 0822 0005 -3775Barclays F 0056 0024 0113 0025 0778 0007 -305Rabobank Int Brasil SA F 0057 0021 0163 0027 0842 0003 -5208B Nat de Paris Brasil SA F 0058 0022 0100 0029 0812 0006 -3343Ibibank SA - Banco Multiplo F 0057 0012 0099 0023 0780 0015 -1478Dresdner Bank - B Multiplo F 0087 0016 0244 0068 0770 0008 -2768Banco Westlb Do Brasil SA F 0063 0034 0106 0026 0841 0010 -1625Banco GE Capital SA F 0064 0032 0247 0046 0853 0010 -1522B Com Uruguai SA F 0073 0019 0191 0049 0833 0003 -50981S - State-owned bank N - National bank and F - Foreign bank

50

Table A11 Estimates of Lerner index and return to scale by bank - Model (6)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0036 0096 0015 0939 0007 -855Banrisul S 0050 0035 0098 0014 0938 0008 -82BEC S 0041 0019 0067 0012 0855 0009 -1644BRB S 0053 0029 0124 0018 0956 0002 -1996BB S 0051 0032 0088 0013 0954 0006 -807Caixa Economica Federal S 0054 0040 0094 0012 1014 0003 475B da Amazonia SA S 0053 0015 0103 0022 0846 0008 -205B do Estado Do Para SA S 0051 0028 0074 0013 0943 0004 -1319B do E Do Maranhao SA S 0041 0031 0059 0008 0950 0014 -346B do E Do Piauı SA - Bep S 0042 0028 0084 0012 0879 0004 -2727B do Estado De Sergipe SA S 0052 0022 0153 0022 0953 0003 -1377Nossa Caixa - N Banco SA S 0047 0032 0081 0014 0969 0004 -74Bradesco N 0052 0032 0097 0019 0898 0004 -2645Itau N 0054 0027 0190 0031 0877 0003 -4452Safra N 0049 0032 0100 0015 0872 0003 -5056Unibanco N 0043 0032 0067 0010 0878 0001 -8666Mercantil Do Brasil N 0053 0026 0087 0017 0938 0002 -3104BBM N 0066 0013 0251 0056 0792 0005 -4556BMC N 0041 0026 0069 0011 0850 0003 -4582BMG N 0067 0016 0228 0057 0781 0003 -6611JMalucelli N 0051 0022 0089 0017 0725 0003 -9344PEBB N 0046 0015 0157 0039 0728 0008 -3313SS N 0058 0025 0230 0046 0801 0007 -292Sofisa N 0053 0020 0119 0025 0809 0002 -8846BIC N 0060 0029 0262 0049 0852 0005 -2697Schahin N 0049 0025 0229 0040 0843 0006 -2523Stock N 0081 0017 0284 0072 0836 0005 -2986Pine N 0049 0021 0112 0019 0812 0004 -5267Socopa N 0050 0026 0095 0015 0900 0003 -3515Intercap N 0055 0021 0196 0035 0828 0006 -2899Indusval N 0061 0029 0262 0049 0863 0005 -2762Bonsucesso N 0052 0019 0123 0026 0791 0005 -3885Industrial do Brasil N 0046 0027 0088 0015 0816 0002 -8698Votorantim N 0051 0027 0139 0027 0813 0007 -262Cacique N 0039 0022 0050 0009 0784 0005 -4707Inter Amex N 0045 0027 0064 0012 0843 0006 -2493Alfa N 0044 0033 0068 0009 0805 0002 -12111Rendimento N 0050 0022 0073 0010 0883 0008 -1543Bancoob N 0066 0055 0072 0007 0856 0003 -4559Original N 0098 0020 0294 0094 0735 0006 -4509Banco Intermedium SA N 0057 0024 0085 0022 0756 0006 -4324

Table A11 ndash Continue on next page

51

Table A11 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0061 0017 0195 0048 0777 0003 -7233Banco BBN SA N 0042 0023 0059 0012 0831 0011 -1529B Cooperativo Sicredi SA N 0048 0035 0066 0009 0879 0005 -2672B Cooperativo do Brasil SA N 0046 0034 0119 0017 0917 0006 -1439Banco Topazio SA N 0070 0031 0129 0036 0853 0005 -2776Banco Gerador SA N 0086 0057 0148 0034 0867 0007 -1825Banco Randon SA N 0126 0028 0331 0114 0799 0005 -4136Parana Banco SA N 0039 0023 0082 0015 0798 0008 -2556Banco Triangulo SA N 0052 0025 0116 0025 0840 0004 -4363Banco Guanabara SA N 0048 0021 0100 0019 0792 0004 -5683Banco Cedula SA N 0067 0013 0356 0067 0749 0002 -10205Banco Cacique SA N 0067 0026 0232 0073 0792 0015 -1356Banco Luso Brasileiro SA N 0065 0025 0237 0052 0864 0004 -3163Banco Pecunia SA N 0037 0029 0045 0006 0786 0003 -7158Banco Zogbi SA N 0037 0027 0045 0007 0785 0002 -13921Banco Daycoval SA N 0053 0020 0120 0031 0787 0003 -6088Banco John Deere SA N 0043 0017 0099 0022 0764 0003 -8346Banco AJ Renner SA N 0050 0025 0080 0013 0840 0006 -2706ABN Amro F 0043 0035 0067 0008 0894 0002 -6685Chase F 0059 0014 0189 0040 0803 0007 -2772LLoyds F 0039 0021 0055 0012 0824 0003 -5536BankBoston F 0044 0029 0075 0015 0890 0006 -1965Santander Brasil F 0054 0028 0107 0024 0871 0008 -1694Citibank F 0054 0023 0133 0026 0863 0003 -4787BNL F 0042 0028 0078 0018 0843 0005 -2998Sudameris F 0041 0036 0052 0006 0948 0010 -491Societe Generale F 0054 0020 0118 0025 0834 0006 -2716Europeu F 0038 0029 0049 0008 0856 0006 -2239ABC-Brasil F 0046 0028 0084 0014 0816 0003 -6111Dresdner F 0063 0015 0239 0061 0823 0005 -3888AGF Braseg F 0047 0027 0074 0014 0807 0004 -4477HSBC F 0054 0032 0109 0018 0950 0006 -823Deutsche F 0058 0013 0122 0028 0863 0004 -305BNP Paribas F 0051 0032 0070 0011 0822 0004 -4145Barclays F 0064 0024 0128 0029 0802 0005 -4051Rabobank Int Brasil SA F 0051 0019 0130 0021 0846 0003 -4992B Nat de Paris Brasil SA F 0043 0019 0070 0019 0819 0005 -3429Ibibank SA - Banco Multiplo F 0049 0010 0083 0020 0785 0013 -161Dresdner Bank - B Multiplo F 0087 0016 0261 0066 0783 0007 -2901Banco Westlb Do Brasil SA F 0051 0030 0082 0019 0850 0009 -1643Banco GE Capital SA F 0053 0028 0239 0044 0859 0009 -1544B Com Uruguai SA F 0071 0017 0217 0054 0845 0003 -48451S - State-owned bank N - National bank and F - Foreign bank

52

Seacuterie de Textos para Discussatildeo do Curso de Ciecircncias Econocircmicas ndash FACEUFG ndash TD [078]

EDITORIAL FACE ndash Faculdade de Administraccedilatildeo Ciecircncias Contaacutebeis e Ciecircncias Econocircmicas Curso de Ciecircncias Econocircmicas Direccedilatildeo FACE Prof Moiseacutes Ferreira da Cunha Vice-Direccedilatildeo FACE Profordf Andreacutea Freire de Lucena Coordenaccedilatildeo do Curso de Ciecircncias Econocircmicas Prof Tiago Camarinha Lopes NEPEC ndash Nuacutecleo de Estudos e Pesquisas Econocircmicas Coordenaccedilatildeo Prof Seacutergio Fornazier Meyrelles Filho SEacuteRIE DE TEXTOS PARA DISCUSSAtildeO DO CURSO DE CIEcircNCIAS ECONOcircMICAS DA UFG Coordenaccedilatildeo e Equipe de Editoraccedilatildeo Prof Sandro Eduardo Monsueto Adriana Moura Guimaratildees Matheus Henrique de Arauacutejo Dutra

Endereccedilo Campus Samambaia Preacutedio da FACE ndash Rodovia GoiacircniaNova Veneza km 0 ndash CEP 74690-900 Goiacircnia ndash GO Tel (62) 3521 ndash 1390 URL httpwwwfaceufgbreconomia Publicaccedilatildeo cujo objetivo eacute divulgar resultados de estudos que contam com a participaccedilatildeo de pesquisadores do NEPEC As opiniotildees contidas nesta publicaccedilatildeo satildeo de inteira responsabilidade do(s) autor(es) natildeo representando necessariamente o ponto de vista do NEPEC ou da FACEUFG Eacute permitida a reproduccedilatildeo desde que citada a fonte

Page 39: 1(3(& )$&( 8)* · The Dark Side of Prudential MeasuresI Paulo R. Scalco a, Benjamin M. Tabak1, Anderson M. Teixeira aFaculty of Management, Accounting and Economics, Federal University

Table 1 Variables used to IDF estimatation

Variabel Description SourceBasic variables

TR Total Revenue = Gross Insterest Income (a) + Bank-ing Service Fee Income (d1) + Banking Fee Income(d2) + Other Operating Income (d7)

Inc statIFData

TC Total Cost = Interest Expenses (b) + Personnel Ex-penses (d3) + Administrative Expenses (d4) + TaxExpenses (d5) + Other Operating Expenses (d8)

Inc statIFData

Y Loan Lease and Other Credit Operations by RiskLevel

SummaryIFData

x1 Personnel Expenses (d3) Inc statIFDatax2 Funding (e) LiabilitiesIFDatax3 Equity (j) LiabilitiesIFData

Model variabelslnRC Log of Revenue-Cost ratiolnY Log of total loanlnx1 Log of personnel expenses and equity ratio (x1x3)lnx2 Log of funding and equity ratio (x2x3)T Time

Prudential variables - Deterministic mark-up parametersHHIt HHIt =

sumS2it where Sit

2 is market share of totalasset of bank i on time t

Inc statIFData

cb cumulative change of capital buffer Cerutti et al (2016)cr cumulative change of capital requirement Cerutti et al (2016)ltv cumulative change of loan-to-value Cerutti et al (2016)

rr foreign cumulative change of reserve requirement (foreigncurrency)

Cerutti et al (2016)

rr local cumulative change of reserve requirement (domesticcurrency)

Cerutti et al (2016)

37

Table 2 Results of IDF estimation

Parameters VariablesEstimates

Model Model Model Model Model Model(1) (2) (3) (4) (5) (6)

Parametros da funcao insumo distanciaαY Y lnY -0013 -0003 -0004 -0012 -0011 -0005

(000) (000) (000) (000) (000) (000)α1Y lnx1 -0096 -0095 -0094 -0094 -0096 -0090

(001) (001) (001) (001) (001) (001)α2Y lnx2 -0019 -0022 -0022 -0019 -0020 -0021

(001) (001) (001) (001) (001) (001)αY T T -0000 -0000 -0000 -0000 -0000 -0000

(000) (000) (000) (000) (000) (000)αY const 1153 1010 1035 1134 1129 1057

(005) (007) (005) (005) (005) (006)

Deterministic Mark-up parametersδ1 HHI 764157

(12270)δ1 Capital

Buffer7586(065)

δ2 CapitalReq

4696(160)

δ1 Loan-to-value38511(671)

δ1 ResR(foreign)10730(433)

δ2 ResR(local)2869(126)

δ1 Cum Prud3237(020)

δ0 const minus10601minus10194minus5306 minus9866 minus8577 minus4993(032) (2064) (316) (079) (119) (122)

Distribution of u and vσ2u 2840 1418 1620 2643 2441 1593σ2v 0118 0121 0120 0118 0118 0120λ 2402 1172 1354 2233 2065 1325Log Lik 887404 922033 918606 896019 891991 907817

EstimatesEstimates of Mark-up (u)Avg 0075 0065 0068 0074 0075 00691st quartile 0052 0038 0051 0051 0051 0044Median 0062 0048 0060 0060 0061 00543st quartile 0080 0074 0079 0079 0079 0075std-dev 0053 0054 0053 0053 0054 0054

Note p lt 010 p lt 005 and p lt 001

38

Table 3 Estimates of Lerner index general and by type of control

EstimatesModel Model Model Model Model Model

(1) (2) (3) (4) (5) (6)Mark-up (L) generalAverage 0058 0051 0053 0057 0058 0053std-dev 0032 0034 0034 0032 0032 00331st quartile 0043 0031 0034 0041 0042 0036Median 0051 0039 0044 0050 0050 00453st quartile 0063 0060 0059 0063 0063 0060Mark-up (L) State-owned banksAverage 0057 0047 0049 0056 0056 0050std-dev 0018 0017 0017 0018 0016 00161st quartile 0047 0035 0038 0045 0046 0040Median 0054 0041 0046 0053 0053 00463st quartile 0064 0056 0056 0064 0063 0057Mark-up (L) National banksAverage 0057 0052 0054 0057 0057 0054std-dev 0034 0038 0038 0035 0035 00371st quartile 0041 0030 0033 0040 0041 0035Median 0050 0038 0043 0048 0049 00443st quartile 0061 0061 0060 0061 0062 0060Mark-up (L) Foreign banksAverage 0061 0050 0053 0059 0060 0054std-dev 0034 0033 0032 0034 0034 00321st quartile 0042 0031 0034 0041 0042 0036Median 0052 0040 0044 0051 0051 00453st quartile 0068 0059 0060 0066 0066 0061

Table 4 Estimates of returns to scale by control type and general

ModelState-owned

banksNational

banksForeignbanks

General std-dev Min Max

1 0944 0824 0842 0848 0073 0665 11242 0940 0829 0843 0851 0066 0690 10733 0938 0827 0842 0849 0066 0689 10764 0941 0824 0842 0848 0071 0671 11115 0942 0824 0841 0848 0072 0669 11136 0937 0829 0844 0850 0065 0692 1073

39

Appendix A Attachment Tables

Table A5 Cumulative change on Prudential Measures intensity

TimeCapitalBuffer 2

(cb)

CapitalReq(cr)

Loan-to-Value(ltv)

Reserve Reqlocal curr

(RR local)

Reserve Reqforeign cur

(RR foreign)

CumulativePrudential 3

(Cum Prud)2000q2 -1 0 0 0 -2 -32000q4 -1 0 0 0 -2 -32001q2 -1 0 0 0 -2 -32001q4 0 0 0 0 -1 -12002q2 0 0 0 0 0 02002q4 2 0 0 0 2 42003q2 0 0 0 0 3 32003q4 0 0 0 0 2 22004q2 0 0 0 0 2 22004q4 0 0 0 0 2 22005q2 0 0 0 0 2 22005q4 0 0 0 0 2 22006q2 0 0 0 0 2 22006q4 0 0 0 0 2 22007q2 2 0 0 0 2 42007q4 2 0 0 0 2 42008q2 2 0 0 0 2 42008q4 2 0 0 0 1 32009q2 2 0 0 0 0 22009q4 2 0 0 0 -1 12010q2 2 0 0 0 1 32010q4 3 0 0 0 3 62011q2 3 0 0 1 3 72011q4 4 0 0 2 3 92012q2 3 1 0 2 3 92012q4 3 1 0 1 2 72013q2 3 2 0 0 2 72013q4 3 2 1 0 2 82014q2 3 2 1 0 2 82014q4 2 2 1 0 3 82Sum of capital buffer and others 3Aggregate measure (It is the sum of the change of all other instrument)

40

Table A6 Estimates of Lerner index and return to scale by bank - Model (1)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0042 0082 0009 0940 0007 -85Banrisul S 0055 0041 0084 0009 0952 0008 -635BEC S 0048 0021 0077 0016 0844 0009 -1756BRB S 0058 0033 0100 0015 0961 0003 -1533BB S 0058 0039 0098 0012 0990 0006 -173Caixa Economica Federal S 0063 0051 0174 0022 1052 0004 1458B da Amazonia SA S 0057 0016 0124 0023 0844 0008 -2028B do Estado Do Para SA S 0061 0026 0110 0022 0936 0004 -1764B do Est do Maranhao SA S 0055 0046 0065 0006 0935 0014 -455B do Est do Piauı SA - Bep S 0057 0030 0155 0029 0862 0004 -326B do Estado De Sergipe SA S 0061 0024 0135 0022 0947 0004 -1453Nossa Caixa - N Banco SA S 0057 0036 0090 0013 0981 0004 -444Bradesco N 0056 0038 0114 0015 0925 0004 -1945Itau N 0059 0031 0220 0033 0901 0003 -3797Safra N 0053 0037 0085 0009 0885 0003 -4215Unibanco N 0055 0037 0088 0014 0897 0001 -7054Mercantil Do Brasil N 0057 0027 0077 0011 0945 0002 -2527BBM N 0076 0016 0300 0065 0783 0005 -4464BMC N 0052 0030 0079 0012 0845 0003 -4703BMG N 0065 0017 0208 0045 0779 0003 -729JMalucelli N 0047 0022 0069 0013 0718 0003 -8765PEBB N 0065 0017 0181 0047 0698 0008 -3914SS N 0057 0034 0220 0037 0799 0007 -2839Sofisa N 0054 0021 0092 0020 0804 0002 -9903BIC N 0060 0034 0236 0040 0855 0005 -276Schahin N 0056 0028 0214 0035 0835 0006 -262Stock N 0081 0020 0267 0067 0817 0006 -3107Pine N 0052 0022 0108 0019 0808 0004 -545Socopa N 0056 0027 0120 0017 0886 0003 -3806Intercap N 0060 0023 0212 0037 0812 0007 -2851Indusval N 0062 0030 0246 0043 0857 0005 -3139Bonsucesso N 0052 0020 0092 0018 0779 0005 -4033Industrial do Brasil N 0051 0031 0081 0016 0807 0002 -952Votorantim N 0052 0037 0107 0017 0819 0009 -2117Cacique N 0053 0024 0071 0014 0774 0005 -4621Inter Amex N 0055 0037 0068 0010 0837 0008 -2158Alfa N 0048 0041 0059 0005 0806 0002 -11303Rendimento N 0053 0022 0080 0012 0872 0008 -1562Bancoob N 0052 0046 0056 0003 0856 0003 -5061Original N 0085 0017 0279 0090 0729 0007 -4163Banco Intermedium SA N 0052 0028 0070 0015 0743 0006 -3973

Table A6 ndash Continue on next page

41

Table A6 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0225 0049 0761 0003 -7509Banco BBN SA N 0053 0027 0077 0014 0817 0012 -1509B Cooperativo Sicredi SA N 0052 0043 0062 0005 0875 0005 -2477B Cooperativo do Brasil SA N 0056 0046 0142 0020 0910 0006 -1479Banco Topazio SA N 0060 0035 0110 0027 0834 0006 -2966Banco Gerador SA N 0069 0045 0122 0028 0852 0008 -1968Banco Randon SA N 0109 0023 0320 0109 0783 0005 -4158Parana Banco SA N 0050 0026 0108 0020 0784 0008 -2799Banco Triangulo SA N 0055 0028 0091 0020 0833 0004 -4201Banco Guanabara SA N 0052 0024 0169 0025 0777 0004 -5588Banco Cedula SA N 0068 0012 0339 0061 0731 0003 -10236Banco Cacique SA N 0077 0028 0248 0077 0785 0016 -1309B Luso Brasileiro SA N 0065 0027 0208 0043 0849 0004 -349Banco Pecunia SA N 0047 0039 0060 0006 0770 0003 -7086Banco Zogbi SA N 0051 0038 0067 0011 0778 0001 -15193Banco Daycoval SA N 0054 0023 0131 0026 0783 0004 -5522B John Deere SA N 0059 0018 0133 0033 0756 0003 -7955Banco AJ Renner SA N 0053 0025 0081 0015 0827 0006 -2742ABN Amro F 0056 0039 0079 0014 0914 0002 -427Chase F 0068 0014 0228 0049 0790 0008 -2678LLoyds F 0053 0027 0064 0012 0825 0003 -5159BankBoston F 0057 0040 0099 0020 0902 0006 -1638Santander Brasil F 0057 0034 0097 0017 0890 0008 -146Citibank F 0059 0026 0153 0028 0875 0003 -4039BNL F 0055 0041 0097 0019 0840 0006 -2767Sudameris F 0056 0048 0065 0005 0966 0012 -297Societe Generale F 0060 0024 0153 0031 0826 0006 -299Europeu F 0054 0032 0073 0013 0848 0007 -2287ABC-Brasil F 0052 0025 0082 0014 0815 0003 -6207Dresdner F 0083 0017 0280 0074 0815 0006 -3234AGF Braseg F 0051 0031 0100 0016 0794 0004 -4923HSBC F 0057 0046 0092 0010 0971 0006 -466Deutsche F 0068 0013 0160 0036 0857 0004 -3335BNP Paribas F 0050 0037 0068 0007 0824 0005 -3665Barclays F 0052 0024 0089 0021 0771 0008 -2787Rabobank Int Brasil SA F 0058 0022 0166 0028 0842 0003 -5284B Nat de Paris Br SA F 0063 0023 0109 0033 0811 0006 -3331Ibibank SA - Banco Multiplo F 0059 0012 0106 0024 0781 0015 -1441Dresdner Bank - B Multiplo F 0086 0016 0244 0068 0768 0008 -2746Banco Westlb Do Brasil SA F 0064 0034 0108 0027 0839 0010 -1626Banco GE Capital SA F 0067 0032 0247 0047 0852 0010 -1527B Com Uruguai SA F 0072 0020 0192 0049 0830 0003 -52281S - State-owned bank N - National bank and F - Foreign bank

42

Table A7 Estimates of Lerner index and return to scale by bank - Model (2)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0049 0032 0085 0016 0944 0008 -716Banrisul S 0049 0032 0106 0017 0939 0008 -75BEC S 0032 0016 0046 0008 0860 0009 -1489BRB S 0049 0030 0112 0017 0961 0002 -1681BB S 0049 0032 0091 0016 0948 0006 -845Caixa Economica Federal S 0052 0034 0081 0014 1012 0003 382B da Amazonia SA S 0053 0015 0140 0028 0847 0008 -1922B do Estado Do Para SA S 0046 0029 0063 0009 0952 0005 -963B do Est do Maranhao SA S 0036 0029 0045 0005 0963 0016 -235B do Est do Piauı SA - Bep S 0036 0023 0071 0011 0888 0005 -2314B do Estado De Sergipe SA S 0050 0020 0155 0024 0962 0004 -1043Nossa Caixa - N Banco SA S 0039 0027 0074 0011 0972 0005 -601Bradesco N 0050 0028 0116 0023 0890 0004 -2618Itau N 0052 0024 0222 0037 0869 0003 -4269Safra N 0046 0028 0100 0017 0867 0003 -5042Unibanco N 0035 0028 0054 0007 0873 0001 -8511Mercantil Do Brasil N 0051 0029 0093 0019 0941 0002 -2837BBM N 0063 0012 0213 0048 0790 0005 -4494BMC N 0034 0023 0049 0007 0851 0003 -4266BMG N 0065 0015 0233 0057 0776 0004 -6135JMalucelli N 0052 0018 0080 0016 0720 0003 -9566PEBB N 0037 0014 0108 0025 0732 0009 -3086SS N 0056 0024 0236 0046 0797 0007 -2849Sofisa N 0052 0018 0107 0028 0808 0002 -8115BIC N 0057 0026 0259 0050 0850 0006 -2531Schahin N 0047 0022 0225 0041 0845 0007 -2359Stock N 0078 0017 0287 0071 0843 0006 -2782Pine N 0048 0018 0114 0023 0811 0004 -4973Socopa N 0050 0022 0136 0024 0908 0003 -3089Intercap N 0051 0019 0133 0031 0832 0006 -2759Indusval N 0061 0023 0267 0052 0866 0006 -2437Bonsucesso N 0050 0017 0109 0026 0791 0006 -3655Industrial do Brasil N 0044 0024 0079 0015 0816 0002 -8095Votorantim N 0048 0025 0120 0026 0807 0007 -2721Cacique N 0033 0020 0039 0006 0782 0005 -4597Inter Amex N 0035 0025 0045 0007 0844 0006 -2419Alfa N 0042 0029 0069 0013 0801 0002 -12139Rendimento N 0049 0019 0077 0015 0889 0008 -1394Bancoob N 0065 0057 0073 0006 0855 0003 -4199Original N 0099 0019 0299 0096 0732 0006 -4473Banco Intermedium SA N 0062 0032 0081 0019 0754 0006 -4393

Table A7 ndash Continue on next page

43

Table A7 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0059 0016 0239 0051 0778 0003 -6944Banco BBN SA N 0035 0020 0053 0009 0834 0011 -1466B Cooperativo Sicredi SA N 0045 0032 0070 0011 0881 0005 -2581B Cooperativo do Brasil SA N 0045 0029 0147 0025 0922 0006 -1274Banco Topazio SA N 0076 0043 0138 0038 0861 0005 -2569Banco Gerador SA N 0089 0054 0153 0037 0874 0008 -1645Banco Randon SA N 0122 0029 0335 0113 0803 0005 -388Parana Banco SA N 0033 0020 0062 0011 0800 0009 -234Banco Triangulo SA N 0052 0022 0105 0027 0841 0004 -4148Banco Guanabara SA N 0046 0019 0091 0020 0793 0004 -5561Banco Cedula SA N 0062 0011 0359 0067 0749 0003 -9911Banco Cacique SA N 0049 0020 0157 0048 0791 0016 -1315Banco Luso Brasileiro SA N 0066 0022 0241 0055 0870 0005 -2851Banco Pecunia SA N 0032 0027 0036 0003 0787 0003 -6876Banco Zogbi SA N 0032 0026 0037 0005 0784 0002 -13006Banco Daycoval SA N 0053 0019 0139 0036 0784 0004 -6065Banco John Deere SA N 0035 0016 0073 0016 0761 0003 -8278Banco AJ Renner SA N 0047 0021 0083 0015 0844 0006 -2553ABN Amro F 0035 0027 0047 0006 0889 0002 -7231Chase F 0054 0013 0157 0033 0804 0007 -2702LLoyds F 0033 0020 0043 0008 0821 0003 -5429BankBoston F 0036 0026 0060 0011 0888 0006 -1917Santander Brasil F 0055 0025 0115 0030 0864 0008 -1647Citibank F 0051 0020 0132 0025 0860 0003 -4735BNL F 0036 0026 0062 0012 0843 0005 -2959Sudameris F 0036 0031 0040 0004 0949 0011 -468Societe Generale F 0051 0018 0104 0024 0835 0007 -2454Europeu F 0034 0025 0041 0006 0859 0007 -2076ABC-Brasil F 0043 0026 0086 0015 0813 0003 -5797Dresdner F 0050 0014 0190 0046 0824 0004 -3975AGF Braseg F 0044 0024 0068 0014 0810 0005 -4109HSBC F 0052 0031 0110 0021 0948 0007 -776Deutsche F 0054 0012 0166 0030 0866 0005 -2754BNP Paribas F 0049 0028 0073 0013 0818 0004 -4092Barclays F 0065 0028 0121 0027 0811 0005 -4028Rabobank Int Brasil SA F 0047 0017 0102 0017 0845 0003 -4605B Nat de Paris Brasil SA F 0036 0017 0054 0013 0819 0005 -3304Ibibank SA - Banco Multiplo F 0043 0010 0114 0025 0782 0013 -1623Dresdner Bank - B Multiplo F 0096 0015 0270 0076 0785 0007 -2924Banco Westlb Do Brasil SA F 0041 0026 0062 0013 0853 0010 -154Banco GE Capital SA F 0054 0026 0253 0049 0862 0010 -1444B Com Uruguai SA F 0070 0017 0220 0058 0849 0003 -4471S - State-owned bank N - National bank and F - Foreign bank

44

Table A8 Estimates of Lerner index and return to scale by bank - Model (3)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0034 0090 0016 0941 0008 -772Banrisul S 0051 0032 0108 0016 0938 0008 -772BEC S 0035 0018 0051 0009 0856 0009 -1562BRB S 0052 0032 0122 0018 0958 0002 -1793BB S 0052 0035 0085 0015 0951 0006 -809Caixa Economica Federal S 0054 0039 0098 0014 1015 0003 465B da Amazonia SA S 0053 0014 0113 0024 0845 0008 -1977B do Estado Do Para SA S 0049 0028 0071 0010 0947 0005 -1117B do E do Maranhao SA S 0041 0032 0059 0008 0957 0015 -285B do E do Piauı SA - Bep S 0041 0028 0086 0014 0882 0005 -2518B do Estado De Sergipe SA S 0052 0021 0145 0022 0957 0004 -1182Nossa Caixa - N Banco SA S 0045 0029 0081 0015 0971 0005 -651Bradesco N 0052 0029 0101 0021 0893 0004 -2614Itau N 0054 0025 0203 0034 0872 0003 -4328Safra N 0048 0029 0093 0015 0869 0003 -5008Unibanco N 0041 0028 0067 0010 0874 0001 -8514Mercantil Do Brasil N 0053 0026 0095 0018 0939 0002 -29BBM N 0067 0013 0250 0056 0789 0005 -4501BMC N 0038 0024 0069 0010 0849 0003 -4408BMG N 0067 0015 0233 0058 0776 0004 -6374JMalucelli N 0052 0022 0087 0016 0720 0003 -9426PEBB N 0045 0014 0158 0040 0727 0009 -3192SS N 0057 0025 0231 0046 0797 0007 -287Sofisa N 0053 0018 0116 0026 0807 0002 -8444BIC N 0059 0030 0250 0049 0850 0006 -2596Schahin N 0048 0023 0220 0038 0842 0007 -2424Stock N 0083 0017 0304 0077 0838 0006 -2873Pine N 0049 0019 0105 0020 0810 0004 -5103Socopa N 0050 0026 0111 0018 0903 0003 -3253Intercap N 0055 0020 0196 0036 0828 0006 -283Indusval N 0062 0029 0282 0052 0863 0005 -2588Bonsucesso N 0051 0017 0118 0025 0789 0006 -3771Industrial do Brasil N 0046 0025 0086 0015 0815 0002 -8341Votorantim N 0050 0027 0128 0027 0809 0007 -2664Cacique N 0037 0020 0048 0009 0781 0005 -4645Inter Amex N 0039 0026 0058 0009 0842 0006 -2468Alfa N 0044 0031 0072 0011 0801 0002 -11998Rendimento N 0049 0022 0078 0011 0885 0008 -1463Bancoob N 0066 0057 0077 0007 0854 0003 -4342Original N 0102 0019 0301 0096 0730 0006 -4526Banco Intermedium SA N 0059 0027 0083 0020 0752 0006 -4354

Table A8 ndash Continue on next page

45

Table A8 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0017 0217 0054 0776 0003 -7084Banco BBN SA N 0038 0022 0058 0010 0831 0011 -1492B Cooperativo Sicredi SA N 0047 0035 0071 0010 0879 0005 -259B Cooperativo do Brasil SA N 0046 0035 0128 0020 0919 0006 -1339Banco Topazio SA N 0075 0036 0153 0041 0855 0005 -2657Banco Gerador SA N 0091 0057 0144 0034 0869 0008 -173Banco Randon SA N 0124 0029 0332 0112 0799 0005 -4023Parana Banco SA N 0036 0021 0071 0012 0797 0008 -2452Banco Triangulo SA N 0053 0023 0115 0027 0839 0004 -4256Banco Guanabara SA N 0047 0020 0100 0019 0790 0004 -561Banco Cedula SA N 0066 0012 0362 0068 0747 0003 -10082Banco Cacique SA N 0063 0026 0231 0074 0789 0016 -1336Banco Luso Brasileiro SA N 0066 0026 0249 0053 0865 0005 -2985Banco Pecunia SA N 0034 0029 0041 0004 0784 0003 -7038Banco Zogbi SA N 0036 0027 0046 0006 0782 0002 -13399Banco Daycoval SA N 0054 0019 0131 0034 0784 0004 -607Banco John Deere SA N 0039 0015 0083 0018 0761 0003 -8316Banco AJ Renner SA N 0049 0024 0073 0013 0840 0006 -2621ABN Amro F 0041 0030 0066 0009 0890 0002 -6866Chase F 0059 0013 0173 0039 0801 0007 -2733LLoyds F 0038 0021 0055 0010 0821 0003 -5484BankBoston F 0040 0028 0063 0012 0888 0006 -1931Santander Brasil F 0056 0028 0107 0027 0866 0008 -1663Citibank F 0052 0022 0123 0023 0860 0003 -4735BNL F 0039 0028 0063 0014 0841 0005 -2966Sudameris F 0041 0036 0052 0006 0948 0011 -473Societe Generale F 0052 0020 0103 0022 0833 0006 -2579Europeu F 0038 0030 0049 0007 0856 0007 -2153ABC-Brasil F 0046 0029 0079 0014 0813 0003 -5935Dresdner F 0055 0014 0212 0052 0822 0005 -3913AGF Braseg F 0046 0027 0071 0014 0806 0005 -4276HSBC F 0053 0032 0101 0019 0949 0007 -784Deutsche F 0058 0013 0141 0029 0863 0005 -2878BNP Paribas F 0051 0030 0074 0012 0818 0004 -4118Barclays F 0066 0025 0130 0030 0805 0005 -4123Rabobank Int Brasil SA F 0049 0019 0109 0018 0844 0003 -4752B Nat de Paris Brasil SA F 0041 0019 0069 0018 0817 0005 -3368Ibibank SA - Banco Multiplo F 0046 0010 0095 0021 0781 0014 -1617Dresdner Bank - B Multiplo F 0093 0017 0282 0072 0782 0008 -2899Banco Westlb Do Brasil SA F 0044 0027 0069 0015 0850 0009 -1591Banco GE Capital SA F 0055 0026 0249 0046 0859 0009 -1489B Com Uruguai SA F 0071 0017 0228 0056 0845 0003 -46241S - State-owned bank N - National bank and F - Foreign bank

46

Table A9 Estimates of Lerner index and return to scale by bank - Model (4)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0054 0041 0078 0011 0939 0007 -873Banrisul S 0055 0040 0106 0014 0948 0008 -692BEC S 0046 0020 0072 0014 0846 0009 -1746BRB S 0057 0032 0094 0016 0959 0002 -1673BB S 0057 0038 0095 0014 0981 0006 -33Caixa Economica Federal S 0061 0049 0165 0021 1042 0003 1249B da Amazonia SA S 0056 0015 0117 0022 0844 0008 -2047B do Estado Do Para SA S 0059 0025 0103 0020 0936 0004 -1701B do E Do Maranhao SA S 0052 0044 0062 0005 0936 0014 -448B do E Do Piauı SA - Bep S 0054 0029 0147 0028 0865 0004 -3201B do Estado De Sergipe SA S 0061 0023 0168 0026 0947 0004 -1484Nossa Caixa - N Banco SA S 0054 0035 0085 0012 0977 0004 -547Bradesco N 0056 0036 0107 0017 0919 0004 -2123Itau N 0058 0030 0212 0032 0896 0003 -3979Safra N 0052 0035 0107 0013 0882 0003 -445Unibanco N 0052 0035 0082 0013 0892 0001 -7446Mercantil Do Brasil N 0057 0027 0093 0015 0942 0002 -2687BBM N 0075 0015 0294 0064 0784 0005 -4512BMC N 0050 0029 0074 0011 0846 0003 -472BMG N 0065 0016 0202 0047 0779 0003 -7192JMalucelli N 0048 0022 0071 0014 0720 0003 -8923PEBB N 0061 0016 0172 0044 0704 0008 -382SS N 0056 0033 0213 0037 0799 0007 -2875Sofisa N 0053 0020 0087 0019 0805 0002 -9731BIC N 0061 0033 0269 0048 0854 0005 -2768Schahin N 0053 0027 0205 0034 0836 0006 -2627Stock N 0081 0020 0265 0068 0820 0006 -3122Pine N 0052 0022 0118 0021 0808 0004 -5467Socopa N 0054 0026 0114 0016 0888 0003 -3785Intercap N 0057 0023 0203 0035 0815 0006 -2877Indusval N 0062 0029 0239 0043 0857 0005 -3085Bonsucesso N 0052 0019 0088 0018 0782 0005 -403Industrial do Brasil N 0050 0030 0076 0015 0809 0002 -9427Votorantim N 0051 0036 0102 0017 0817 0008 -2222Cacique N 0050 0023 0067 0013 0776 0005 -4659Inter Amex N 0052 0035 0064 0009 0837 0007 -2226Alfa N 0048 0039 0071 0007 0805 0002 -11484Rendimento N 0052 0022 0076 0013 0874 0008 -1571Bancoob N 0057 0045 0071 0011 0855 0003 -5022Original N 0094 0017 0278 0090 0730 0006 -4242Banco Intermedium SA N 0049 0027 0065 0014 0746 0006 -4054

Table A9 ndash Continue on next page

47

Table A9 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0019 0220 0050 0764 0003 -7516Banco BBN SA N 0050 0027 0072 0013 0819 0012 -1529B Cooperativo Sicredi SA N 0051 0041 0068 0006 0875 0005 -2551B Cooperativo do Brasil SA N 0053 0044 0134 0018 0910 0006 -151Banco Topazio SA N 0066 0035 0128 0036 0837 0005 -2981Banco Gerador SA N 0082 0045 0157 0043 0854 0007 -1967Banco Randon SA N 0106 0026 0312 0105 0786 0005 -4204Parana Banco SA N 0048 0025 0102 0018 0787 0008 -2768Banco Triangulo SA N 0054 0027 0088 0021 0834 0004 -427Banco Guanabara SA N 0051 0023 0161 0025 0780 0004 -5659Banco Cedula SA N 0069 0012 0360 0065 0735 0003 -1028Banco Cacique SA N 0073 0027 0240 0075 0786 0016 -1327Banco Luso Brasileiro SA N 0065 0026 0242 0047 0852 0004 -346Banco Pecunia SA N 0045 0037 0056 0006 0773 0003 -7139Banco Zogbi SA N 0048 0036 0064 0010 0779 0001 -15057Banco Daycoval SA N 0055 0022 0126 0030 0784 0004 -568Banco John Deere SA N 0056 0018 0125 0031 0757 0003 -8084Banco AJ Renner SA N 0051 0025 0077 0013 0829 0006 -2763ABN Amro F 0053 0038 0074 0013 0909 0002 -4803Chase F 0066 0014 0220 0046 0793 0008 -2711LLoyds F 0050 0026 0060 0011 0825 0003 -5323BankBoston F 0054 0038 0092 0018 0899 0006 -1734Santander Brasil F 0056 0033 0098 0019 0885 0007 -1529Citibank F 0059 0025 0145 0030 0872 0003 -421BNL F 0052 0039 0091 0018 0840 0006 -2854Sudameris F 0053 0046 0062 0005 0961 0011 -352Societe Generale F 0058 0023 0144 0028 0827 0006 -2968Europeu F 0052 0031 0069 0012 0849 0007 -23ABC-Brasil F 0051 0028 0091 0015 0815 0003 -6225Dresdner F 0078 0017 0271 0071 0816 0005 -339AGF Braseg F 0050 0030 0094 0015 0797 0004 -4873HSBC F 0057 0045 0116 0016 0966 0006 -562Deutsche F 0066 0013 0151 0034 0858 0004 -3316BNP Paribas F 0050 0036 0071 0010 0823 0005 -3772Barclays F 0057 0024 0102 0025 0777 0007 -3003Rabobank Int Brasil SA F 0057 0021 0157 0026 0842 0003 -5266B Nat de Paris Brasil SA F 0059 0023 0102 0030 0812 0006 -3387Ibibank SA - Banco Multiplo F 0056 0012 0100 0023 0781 0015 -148Dresdner Bank - B Multiplo F 0084 0016 0237 0064 0771 0008 -2798Banco Westlb Do Brasil SA F 0061 0033 0101 0025 0841 0010 -1646Banco GE Capital SA F 0063 0031 0238 0044 0853 0010 -1548B Com Uruguai SA F 0074 0020 0226 0056 0833 0003 -51921S - State-owned bank N - National bank and F - Foreign bank

48

Table A10 Estimates of Lerner index and return to scale by bank - Model (5)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0043 0093 0012 0940 0007 -834Banrisul S 0054 0041 0083 0009 0949 0008 -668BEC S 0046 0020 0075 0014 0846 0009 -1719BRB S 0058 0032 0121 0017 0960 0002 -1607BB S 0056 0037 0087 0010 0981 0006 -321Caixa Economica Federal S 0061 0050 0156 0019 1044 0003 1282B da Amazonia SA S 0057 0016 0115 0023 0843 0008 -2023B do Estado Do Para SA S 0059 0027 0102 0020 0938 0004 -1608B do E Do Maranhao SA S 0052 0042 0064 0006 0939 0015 -418B do E Do Piauı SA - Bep S 0054 0029 0138 0025 0866 0004 -3097B do Estado De Sergipe SA S 0059 0024 0136 0020 0949 0004 -1404Nossa Caixa - N Banco SA S 0055 0036 0088 0013 0979 0004 -494Bradesco N 0056 0037 0108 0016 0918 0004 -2108Itau N 0058 0031 0213 0033 0894 0003 -3968Safra N 0052 0036 0086 0010 0881 0003 -4388Unibanco N 0053 0037 0085 0013 0892 0001 -7433Mercantil Do Brasil N 0057 0027 0086 0012 0943 0002 -2619BBM N 0075 0015 0292 0063 0784 0005 -447BMC N 0050 0029 0077 0012 0846 0003 -4648BMG N 0067 0017 0220 0051 0777 0003 -7116JMalucelli N 0049 0022 0083 0016 0718 0003 -8879PEBB N 0060 0017 0176 0044 0704 0008 -3743SS N 0059 0032 0223 0041 0798 0007 -2847Sofisa N 0055 0021 0112 0022 0804 0002 -9624BIC N 0060 0032 0238 0041 0853 0005 -2725Schahin N 0055 0028 0228 0038 0836 0006 -2575Stock N 0082 0019 0267 0068 0821 0006 -3063Pine N 0052 0022 0096 0018 0808 0004 -5392Socopa N 0055 0027 0113 0016 0889 0003 -3694Intercap N 0060 0023 0210 0037 0814 0006 -2856Indusval N 0062 0029 0245 0044 0857 0005 -3023Bonsucesso N 0053 0020 0113 0022 0781 0005 -3999Industrial do Brasil N 0051 0030 0084 0016 0808 0002 -9274Votorantim N 0052 0037 0130 0022 0816 0008 -2227Cacique N 0049 0024 0065 0012 0775 0005 -4632Inter Amex N 0052 0034 0067 0011 0837 0007 -2236Alfa N 0047 0041 0056 0004 0804 0002 -11448Rendimento N 0053 0022 0079 0011 0874 0008 -1549Bancoob N 0056 0050 0064 0005 0856 0003 -4874Original N 0087 0018 0288 0093 0728 0006 -4259Banco Intermedium SA N 0055 0027 0078 0019 0744 0006 -4047

Table A10 ndash Continue on next page

49

Table A10 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0217 0048 0763 0003 -7417Banco BBN SA N 0051 0026 0075 0014 0820 0012 -1504B Cooperativo Sicredi SA N 0051 0040 0061 0005 0876 0005 -2499B Cooperativo do Brasil SA N 0054 0043 0136 0019 0912 0006 -1445Banco Topazio SA N 0061 0034 0109 0026 0838 0006 -2897Banco Gerador SA N 0073 0052 0124 0026 0855 0008 -1918Banco Randon SA N 0120 0024 0327 0114 0785 0005 -4153Parana Banco SA N 0048 0026 0106 0020 0786 0008 -2732Banco Triangulo SA N 0055 0027 0111 0022 0834 0004 -4227Banco Guanabara SA N 0052 0024 0153 0024 0779 0004 -5589Banco Cedula SA N 0069 0012 0339 0062 0734 0003 -10232Banco Cacique SA N 0076 0027 0246 0076 0785 0016 -1317Banco Luso Brasileiro SA N 0067 0027 0207 0047 0852 0004 -3379Banco Pecunia SA N 0046 0038 0054 0006 0773 0003 -71Banco Zogbi SA N 0047 0037 0061 0010 0778 0001 -14931Banco Daycoval SA N 0054 0022 0126 0026 0782 0004 -5661Banco John Deere SA N 0056 0018 0129 0031 0756 0003 -8043Banco AJ Renner SA N 0053 0025 0080 0015 0829 0006 -2716ABN Amro F 0053 0038 0074 0012 0908 0002 -4751Chase F 0067 0014 0225 0047 0792 0008 -2693LLoyds F 0049 0025 0064 0012 0824 0003 -5227BankBoston F 0054 0037 0096 0020 0899 0006 -1701Santander Brasil F 0057 0033 0103 0019 0884 0008 -1511Citibank F 0059 0026 0154 0028 0871 0003 -4204BNL F 0052 0037 0097 0020 0840 0006 -28Sudameris F 0052 0045 0058 0005 0962 0011 -334Societe Generale F 0060 0023 0151 0031 0827 0006 -2924Europeu F 0050 0032 0066 0012 0849 0007 -2263ABC-Brasil F 0051 0025 0079 0014 0814 0003 -617Dresdner F 0080 0017 0276 0073 0816 0005 -3374AGF Braseg F 0050 0031 0093 0015 0796 0004 -4812HSBC F 0057 0043 0093 0011 0966 0006 -541Deutsche F 0066 0013 0155 0035 0858 0004 -3244BNP Paribas F 0050 0035 0067 0008 0822 0005 -3775Barclays F 0056 0024 0113 0025 0778 0007 -305Rabobank Int Brasil SA F 0057 0021 0163 0027 0842 0003 -5208B Nat de Paris Brasil SA F 0058 0022 0100 0029 0812 0006 -3343Ibibank SA - Banco Multiplo F 0057 0012 0099 0023 0780 0015 -1478Dresdner Bank - B Multiplo F 0087 0016 0244 0068 0770 0008 -2768Banco Westlb Do Brasil SA F 0063 0034 0106 0026 0841 0010 -1625Banco GE Capital SA F 0064 0032 0247 0046 0853 0010 -1522B Com Uruguai SA F 0073 0019 0191 0049 0833 0003 -50981S - State-owned bank N - National bank and F - Foreign bank

50

Table A11 Estimates of Lerner index and return to scale by bank - Model (6)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0036 0096 0015 0939 0007 -855Banrisul S 0050 0035 0098 0014 0938 0008 -82BEC S 0041 0019 0067 0012 0855 0009 -1644BRB S 0053 0029 0124 0018 0956 0002 -1996BB S 0051 0032 0088 0013 0954 0006 -807Caixa Economica Federal S 0054 0040 0094 0012 1014 0003 475B da Amazonia SA S 0053 0015 0103 0022 0846 0008 -205B do Estado Do Para SA S 0051 0028 0074 0013 0943 0004 -1319B do E Do Maranhao SA S 0041 0031 0059 0008 0950 0014 -346B do E Do Piauı SA - Bep S 0042 0028 0084 0012 0879 0004 -2727B do Estado De Sergipe SA S 0052 0022 0153 0022 0953 0003 -1377Nossa Caixa - N Banco SA S 0047 0032 0081 0014 0969 0004 -74Bradesco N 0052 0032 0097 0019 0898 0004 -2645Itau N 0054 0027 0190 0031 0877 0003 -4452Safra N 0049 0032 0100 0015 0872 0003 -5056Unibanco N 0043 0032 0067 0010 0878 0001 -8666Mercantil Do Brasil N 0053 0026 0087 0017 0938 0002 -3104BBM N 0066 0013 0251 0056 0792 0005 -4556BMC N 0041 0026 0069 0011 0850 0003 -4582BMG N 0067 0016 0228 0057 0781 0003 -6611JMalucelli N 0051 0022 0089 0017 0725 0003 -9344PEBB N 0046 0015 0157 0039 0728 0008 -3313SS N 0058 0025 0230 0046 0801 0007 -292Sofisa N 0053 0020 0119 0025 0809 0002 -8846BIC N 0060 0029 0262 0049 0852 0005 -2697Schahin N 0049 0025 0229 0040 0843 0006 -2523Stock N 0081 0017 0284 0072 0836 0005 -2986Pine N 0049 0021 0112 0019 0812 0004 -5267Socopa N 0050 0026 0095 0015 0900 0003 -3515Intercap N 0055 0021 0196 0035 0828 0006 -2899Indusval N 0061 0029 0262 0049 0863 0005 -2762Bonsucesso N 0052 0019 0123 0026 0791 0005 -3885Industrial do Brasil N 0046 0027 0088 0015 0816 0002 -8698Votorantim N 0051 0027 0139 0027 0813 0007 -262Cacique N 0039 0022 0050 0009 0784 0005 -4707Inter Amex N 0045 0027 0064 0012 0843 0006 -2493Alfa N 0044 0033 0068 0009 0805 0002 -12111Rendimento N 0050 0022 0073 0010 0883 0008 -1543Bancoob N 0066 0055 0072 0007 0856 0003 -4559Original N 0098 0020 0294 0094 0735 0006 -4509Banco Intermedium SA N 0057 0024 0085 0022 0756 0006 -4324

Table A11 ndash Continue on next page

51

Table A11 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0061 0017 0195 0048 0777 0003 -7233Banco BBN SA N 0042 0023 0059 0012 0831 0011 -1529B Cooperativo Sicredi SA N 0048 0035 0066 0009 0879 0005 -2672B Cooperativo do Brasil SA N 0046 0034 0119 0017 0917 0006 -1439Banco Topazio SA N 0070 0031 0129 0036 0853 0005 -2776Banco Gerador SA N 0086 0057 0148 0034 0867 0007 -1825Banco Randon SA N 0126 0028 0331 0114 0799 0005 -4136Parana Banco SA N 0039 0023 0082 0015 0798 0008 -2556Banco Triangulo SA N 0052 0025 0116 0025 0840 0004 -4363Banco Guanabara SA N 0048 0021 0100 0019 0792 0004 -5683Banco Cedula SA N 0067 0013 0356 0067 0749 0002 -10205Banco Cacique SA N 0067 0026 0232 0073 0792 0015 -1356Banco Luso Brasileiro SA N 0065 0025 0237 0052 0864 0004 -3163Banco Pecunia SA N 0037 0029 0045 0006 0786 0003 -7158Banco Zogbi SA N 0037 0027 0045 0007 0785 0002 -13921Banco Daycoval SA N 0053 0020 0120 0031 0787 0003 -6088Banco John Deere SA N 0043 0017 0099 0022 0764 0003 -8346Banco AJ Renner SA N 0050 0025 0080 0013 0840 0006 -2706ABN Amro F 0043 0035 0067 0008 0894 0002 -6685Chase F 0059 0014 0189 0040 0803 0007 -2772LLoyds F 0039 0021 0055 0012 0824 0003 -5536BankBoston F 0044 0029 0075 0015 0890 0006 -1965Santander Brasil F 0054 0028 0107 0024 0871 0008 -1694Citibank F 0054 0023 0133 0026 0863 0003 -4787BNL F 0042 0028 0078 0018 0843 0005 -2998Sudameris F 0041 0036 0052 0006 0948 0010 -491Societe Generale F 0054 0020 0118 0025 0834 0006 -2716Europeu F 0038 0029 0049 0008 0856 0006 -2239ABC-Brasil F 0046 0028 0084 0014 0816 0003 -6111Dresdner F 0063 0015 0239 0061 0823 0005 -3888AGF Braseg F 0047 0027 0074 0014 0807 0004 -4477HSBC F 0054 0032 0109 0018 0950 0006 -823Deutsche F 0058 0013 0122 0028 0863 0004 -305BNP Paribas F 0051 0032 0070 0011 0822 0004 -4145Barclays F 0064 0024 0128 0029 0802 0005 -4051Rabobank Int Brasil SA F 0051 0019 0130 0021 0846 0003 -4992B Nat de Paris Brasil SA F 0043 0019 0070 0019 0819 0005 -3429Ibibank SA - Banco Multiplo F 0049 0010 0083 0020 0785 0013 -161Dresdner Bank - B Multiplo F 0087 0016 0261 0066 0783 0007 -2901Banco Westlb Do Brasil SA F 0051 0030 0082 0019 0850 0009 -1643Banco GE Capital SA F 0053 0028 0239 0044 0859 0009 -1544B Com Uruguai SA F 0071 0017 0217 0054 0845 0003 -48451S - State-owned bank N - National bank and F - Foreign bank

52

Seacuterie de Textos para Discussatildeo do Curso de Ciecircncias Econocircmicas ndash FACEUFG ndash TD [078]

EDITORIAL FACE ndash Faculdade de Administraccedilatildeo Ciecircncias Contaacutebeis e Ciecircncias Econocircmicas Curso de Ciecircncias Econocircmicas Direccedilatildeo FACE Prof Moiseacutes Ferreira da Cunha Vice-Direccedilatildeo FACE Profordf Andreacutea Freire de Lucena Coordenaccedilatildeo do Curso de Ciecircncias Econocircmicas Prof Tiago Camarinha Lopes NEPEC ndash Nuacutecleo de Estudos e Pesquisas Econocircmicas Coordenaccedilatildeo Prof Seacutergio Fornazier Meyrelles Filho SEacuteRIE DE TEXTOS PARA DISCUSSAtildeO DO CURSO DE CIEcircNCIAS ECONOcircMICAS DA UFG Coordenaccedilatildeo e Equipe de Editoraccedilatildeo Prof Sandro Eduardo Monsueto Adriana Moura Guimaratildees Matheus Henrique de Arauacutejo Dutra

Endereccedilo Campus Samambaia Preacutedio da FACE ndash Rodovia GoiacircniaNova Veneza km 0 ndash CEP 74690-900 Goiacircnia ndash GO Tel (62) 3521 ndash 1390 URL httpwwwfaceufgbreconomia Publicaccedilatildeo cujo objetivo eacute divulgar resultados de estudos que contam com a participaccedilatildeo de pesquisadores do NEPEC As opiniotildees contidas nesta publicaccedilatildeo satildeo de inteira responsabilidade do(s) autor(es) natildeo representando necessariamente o ponto de vista do NEPEC ou da FACEUFG Eacute permitida a reproduccedilatildeo desde que citada a fonte

Page 40: 1(3(& )$&( 8)* · The Dark Side of Prudential MeasuresI Paulo R. Scalco a, Benjamin M. Tabak1, Anderson M. Teixeira aFaculty of Management, Accounting and Economics, Federal University

Table 2 Results of IDF estimation

Parameters VariablesEstimates

Model Model Model Model Model Model(1) (2) (3) (4) (5) (6)

Parametros da funcao insumo distanciaαY Y lnY -0013 -0003 -0004 -0012 -0011 -0005

(000) (000) (000) (000) (000) (000)α1Y lnx1 -0096 -0095 -0094 -0094 -0096 -0090

(001) (001) (001) (001) (001) (001)α2Y lnx2 -0019 -0022 -0022 -0019 -0020 -0021

(001) (001) (001) (001) (001) (001)αY T T -0000 -0000 -0000 -0000 -0000 -0000

(000) (000) (000) (000) (000) (000)αY const 1153 1010 1035 1134 1129 1057

(005) (007) (005) (005) (005) (006)

Deterministic Mark-up parametersδ1 HHI 764157

(12270)δ1 Capital

Buffer7586(065)

δ2 CapitalReq

4696(160)

δ1 Loan-to-value38511(671)

δ1 ResR(foreign)10730(433)

δ2 ResR(local)2869(126)

δ1 Cum Prud3237(020)

δ0 const minus10601minus10194minus5306 minus9866 minus8577 minus4993(032) (2064) (316) (079) (119) (122)

Distribution of u and vσ2u 2840 1418 1620 2643 2441 1593σ2v 0118 0121 0120 0118 0118 0120λ 2402 1172 1354 2233 2065 1325Log Lik 887404 922033 918606 896019 891991 907817

EstimatesEstimates of Mark-up (u)Avg 0075 0065 0068 0074 0075 00691st quartile 0052 0038 0051 0051 0051 0044Median 0062 0048 0060 0060 0061 00543st quartile 0080 0074 0079 0079 0079 0075std-dev 0053 0054 0053 0053 0054 0054

Note p lt 010 p lt 005 and p lt 001

38

Table 3 Estimates of Lerner index general and by type of control

EstimatesModel Model Model Model Model Model

(1) (2) (3) (4) (5) (6)Mark-up (L) generalAverage 0058 0051 0053 0057 0058 0053std-dev 0032 0034 0034 0032 0032 00331st quartile 0043 0031 0034 0041 0042 0036Median 0051 0039 0044 0050 0050 00453st quartile 0063 0060 0059 0063 0063 0060Mark-up (L) State-owned banksAverage 0057 0047 0049 0056 0056 0050std-dev 0018 0017 0017 0018 0016 00161st quartile 0047 0035 0038 0045 0046 0040Median 0054 0041 0046 0053 0053 00463st quartile 0064 0056 0056 0064 0063 0057Mark-up (L) National banksAverage 0057 0052 0054 0057 0057 0054std-dev 0034 0038 0038 0035 0035 00371st quartile 0041 0030 0033 0040 0041 0035Median 0050 0038 0043 0048 0049 00443st quartile 0061 0061 0060 0061 0062 0060Mark-up (L) Foreign banksAverage 0061 0050 0053 0059 0060 0054std-dev 0034 0033 0032 0034 0034 00321st quartile 0042 0031 0034 0041 0042 0036Median 0052 0040 0044 0051 0051 00453st quartile 0068 0059 0060 0066 0066 0061

Table 4 Estimates of returns to scale by control type and general

ModelState-owned

banksNational

banksForeignbanks

General std-dev Min Max

1 0944 0824 0842 0848 0073 0665 11242 0940 0829 0843 0851 0066 0690 10733 0938 0827 0842 0849 0066 0689 10764 0941 0824 0842 0848 0071 0671 11115 0942 0824 0841 0848 0072 0669 11136 0937 0829 0844 0850 0065 0692 1073

39

Appendix A Attachment Tables

Table A5 Cumulative change on Prudential Measures intensity

TimeCapitalBuffer 2

(cb)

CapitalReq(cr)

Loan-to-Value(ltv)

Reserve Reqlocal curr

(RR local)

Reserve Reqforeign cur

(RR foreign)

CumulativePrudential 3

(Cum Prud)2000q2 -1 0 0 0 -2 -32000q4 -1 0 0 0 -2 -32001q2 -1 0 0 0 -2 -32001q4 0 0 0 0 -1 -12002q2 0 0 0 0 0 02002q4 2 0 0 0 2 42003q2 0 0 0 0 3 32003q4 0 0 0 0 2 22004q2 0 0 0 0 2 22004q4 0 0 0 0 2 22005q2 0 0 0 0 2 22005q4 0 0 0 0 2 22006q2 0 0 0 0 2 22006q4 0 0 0 0 2 22007q2 2 0 0 0 2 42007q4 2 0 0 0 2 42008q2 2 0 0 0 2 42008q4 2 0 0 0 1 32009q2 2 0 0 0 0 22009q4 2 0 0 0 -1 12010q2 2 0 0 0 1 32010q4 3 0 0 0 3 62011q2 3 0 0 1 3 72011q4 4 0 0 2 3 92012q2 3 1 0 2 3 92012q4 3 1 0 1 2 72013q2 3 2 0 0 2 72013q4 3 2 1 0 2 82014q2 3 2 1 0 2 82014q4 2 2 1 0 3 82Sum of capital buffer and others 3Aggregate measure (It is the sum of the change of all other instrument)

40

Table A6 Estimates of Lerner index and return to scale by bank - Model (1)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0042 0082 0009 0940 0007 -85Banrisul S 0055 0041 0084 0009 0952 0008 -635BEC S 0048 0021 0077 0016 0844 0009 -1756BRB S 0058 0033 0100 0015 0961 0003 -1533BB S 0058 0039 0098 0012 0990 0006 -173Caixa Economica Federal S 0063 0051 0174 0022 1052 0004 1458B da Amazonia SA S 0057 0016 0124 0023 0844 0008 -2028B do Estado Do Para SA S 0061 0026 0110 0022 0936 0004 -1764B do Est do Maranhao SA S 0055 0046 0065 0006 0935 0014 -455B do Est do Piauı SA - Bep S 0057 0030 0155 0029 0862 0004 -326B do Estado De Sergipe SA S 0061 0024 0135 0022 0947 0004 -1453Nossa Caixa - N Banco SA S 0057 0036 0090 0013 0981 0004 -444Bradesco N 0056 0038 0114 0015 0925 0004 -1945Itau N 0059 0031 0220 0033 0901 0003 -3797Safra N 0053 0037 0085 0009 0885 0003 -4215Unibanco N 0055 0037 0088 0014 0897 0001 -7054Mercantil Do Brasil N 0057 0027 0077 0011 0945 0002 -2527BBM N 0076 0016 0300 0065 0783 0005 -4464BMC N 0052 0030 0079 0012 0845 0003 -4703BMG N 0065 0017 0208 0045 0779 0003 -729JMalucelli N 0047 0022 0069 0013 0718 0003 -8765PEBB N 0065 0017 0181 0047 0698 0008 -3914SS N 0057 0034 0220 0037 0799 0007 -2839Sofisa N 0054 0021 0092 0020 0804 0002 -9903BIC N 0060 0034 0236 0040 0855 0005 -276Schahin N 0056 0028 0214 0035 0835 0006 -262Stock N 0081 0020 0267 0067 0817 0006 -3107Pine N 0052 0022 0108 0019 0808 0004 -545Socopa N 0056 0027 0120 0017 0886 0003 -3806Intercap N 0060 0023 0212 0037 0812 0007 -2851Indusval N 0062 0030 0246 0043 0857 0005 -3139Bonsucesso N 0052 0020 0092 0018 0779 0005 -4033Industrial do Brasil N 0051 0031 0081 0016 0807 0002 -952Votorantim N 0052 0037 0107 0017 0819 0009 -2117Cacique N 0053 0024 0071 0014 0774 0005 -4621Inter Amex N 0055 0037 0068 0010 0837 0008 -2158Alfa N 0048 0041 0059 0005 0806 0002 -11303Rendimento N 0053 0022 0080 0012 0872 0008 -1562Bancoob N 0052 0046 0056 0003 0856 0003 -5061Original N 0085 0017 0279 0090 0729 0007 -4163Banco Intermedium SA N 0052 0028 0070 0015 0743 0006 -3973

Table A6 ndash Continue on next page

41

Table A6 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0225 0049 0761 0003 -7509Banco BBN SA N 0053 0027 0077 0014 0817 0012 -1509B Cooperativo Sicredi SA N 0052 0043 0062 0005 0875 0005 -2477B Cooperativo do Brasil SA N 0056 0046 0142 0020 0910 0006 -1479Banco Topazio SA N 0060 0035 0110 0027 0834 0006 -2966Banco Gerador SA N 0069 0045 0122 0028 0852 0008 -1968Banco Randon SA N 0109 0023 0320 0109 0783 0005 -4158Parana Banco SA N 0050 0026 0108 0020 0784 0008 -2799Banco Triangulo SA N 0055 0028 0091 0020 0833 0004 -4201Banco Guanabara SA N 0052 0024 0169 0025 0777 0004 -5588Banco Cedula SA N 0068 0012 0339 0061 0731 0003 -10236Banco Cacique SA N 0077 0028 0248 0077 0785 0016 -1309B Luso Brasileiro SA N 0065 0027 0208 0043 0849 0004 -349Banco Pecunia SA N 0047 0039 0060 0006 0770 0003 -7086Banco Zogbi SA N 0051 0038 0067 0011 0778 0001 -15193Banco Daycoval SA N 0054 0023 0131 0026 0783 0004 -5522B John Deere SA N 0059 0018 0133 0033 0756 0003 -7955Banco AJ Renner SA N 0053 0025 0081 0015 0827 0006 -2742ABN Amro F 0056 0039 0079 0014 0914 0002 -427Chase F 0068 0014 0228 0049 0790 0008 -2678LLoyds F 0053 0027 0064 0012 0825 0003 -5159BankBoston F 0057 0040 0099 0020 0902 0006 -1638Santander Brasil F 0057 0034 0097 0017 0890 0008 -146Citibank F 0059 0026 0153 0028 0875 0003 -4039BNL F 0055 0041 0097 0019 0840 0006 -2767Sudameris F 0056 0048 0065 0005 0966 0012 -297Societe Generale F 0060 0024 0153 0031 0826 0006 -299Europeu F 0054 0032 0073 0013 0848 0007 -2287ABC-Brasil F 0052 0025 0082 0014 0815 0003 -6207Dresdner F 0083 0017 0280 0074 0815 0006 -3234AGF Braseg F 0051 0031 0100 0016 0794 0004 -4923HSBC F 0057 0046 0092 0010 0971 0006 -466Deutsche F 0068 0013 0160 0036 0857 0004 -3335BNP Paribas F 0050 0037 0068 0007 0824 0005 -3665Barclays F 0052 0024 0089 0021 0771 0008 -2787Rabobank Int Brasil SA F 0058 0022 0166 0028 0842 0003 -5284B Nat de Paris Br SA F 0063 0023 0109 0033 0811 0006 -3331Ibibank SA - Banco Multiplo F 0059 0012 0106 0024 0781 0015 -1441Dresdner Bank - B Multiplo F 0086 0016 0244 0068 0768 0008 -2746Banco Westlb Do Brasil SA F 0064 0034 0108 0027 0839 0010 -1626Banco GE Capital SA F 0067 0032 0247 0047 0852 0010 -1527B Com Uruguai SA F 0072 0020 0192 0049 0830 0003 -52281S - State-owned bank N - National bank and F - Foreign bank

42

Table A7 Estimates of Lerner index and return to scale by bank - Model (2)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0049 0032 0085 0016 0944 0008 -716Banrisul S 0049 0032 0106 0017 0939 0008 -75BEC S 0032 0016 0046 0008 0860 0009 -1489BRB S 0049 0030 0112 0017 0961 0002 -1681BB S 0049 0032 0091 0016 0948 0006 -845Caixa Economica Federal S 0052 0034 0081 0014 1012 0003 382B da Amazonia SA S 0053 0015 0140 0028 0847 0008 -1922B do Estado Do Para SA S 0046 0029 0063 0009 0952 0005 -963B do Est do Maranhao SA S 0036 0029 0045 0005 0963 0016 -235B do Est do Piauı SA - Bep S 0036 0023 0071 0011 0888 0005 -2314B do Estado De Sergipe SA S 0050 0020 0155 0024 0962 0004 -1043Nossa Caixa - N Banco SA S 0039 0027 0074 0011 0972 0005 -601Bradesco N 0050 0028 0116 0023 0890 0004 -2618Itau N 0052 0024 0222 0037 0869 0003 -4269Safra N 0046 0028 0100 0017 0867 0003 -5042Unibanco N 0035 0028 0054 0007 0873 0001 -8511Mercantil Do Brasil N 0051 0029 0093 0019 0941 0002 -2837BBM N 0063 0012 0213 0048 0790 0005 -4494BMC N 0034 0023 0049 0007 0851 0003 -4266BMG N 0065 0015 0233 0057 0776 0004 -6135JMalucelli N 0052 0018 0080 0016 0720 0003 -9566PEBB N 0037 0014 0108 0025 0732 0009 -3086SS N 0056 0024 0236 0046 0797 0007 -2849Sofisa N 0052 0018 0107 0028 0808 0002 -8115BIC N 0057 0026 0259 0050 0850 0006 -2531Schahin N 0047 0022 0225 0041 0845 0007 -2359Stock N 0078 0017 0287 0071 0843 0006 -2782Pine N 0048 0018 0114 0023 0811 0004 -4973Socopa N 0050 0022 0136 0024 0908 0003 -3089Intercap N 0051 0019 0133 0031 0832 0006 -2759Indusval N 0061 0023 0267 0052 0866 0006 -2437Bonsucesso N 0050 0017 0109 0026 0791 0006 -3655Industrial do Brasil N 0044 0024 0079 0015 0816 0002 -8095Votorantim N 0048 0025 0120 0026 0807 0007 -2721Cacique N 0033 0020 0039 0006 0782 0005 -4597Inter Amex N 0035 0025 0045 0007 0844 0006 -2419Alfa N 0042 0029 0069 0013 0801 0002 -12139Rendimento N 0049 0019 0077 0015 0889 0008 -1394Bancoob N 0065 0057 0073 0006 0855 0003 -4199Original N 0099 0019 0299 0096 0732 0006 -4473Banco Intermedium SA N 0062 0032 0081 0019 0754 0006 -4393

Table A7 ndash Continue on next page

43

Table A7 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0059 0016 0239 0051 0778 0003 -6944Banco BBN SA N 0035 0020 0053 0009 0834 0011 -1466B Cooperativo Sicredi SA N 0045 0032 0070 0011 0881 0005 -2581B Cooperativo do Brasil SA N 0045 0029 0147 0025 0922 0006 -1274Banco Topazio SA N 0076 0043 0138 0038 0861 0005 -2569Banco Gerador SA N 0089 0054 0153 0037 0874 0008 -1645Banco Randon SA N 0122 0029 0335 0113 0803 0005 -388Parana Banco SA N 0033 0020 0062 0011 0800 0009 -234Banco Triangulo SA N 0052 0022 0105 0027 0841 0004 -4148Banco Guanabara SA N 0046 0019 0091 0020 0793 0004 -5561Banco Cedula SA N 0062 0011 0359 0067 0749 0003 -9911Banco Cacique SA N 0049 0020 0157 0048 0791 0016 -1315Banco Luso Brasileiro SA N 0066 0022 0241 0055 0870 0005 -2851Banco Pecunia SA N 0032 0027 0036 0003 0787 0003 -6876Banco Zogbi SA N 0032 0026 0037 0005 0784 0002 -13006Banco Daycoval SA N 0053 0019 0139 0036 0784 0004 -6065Banco John Deere SA N 0035 0016 0073 0016 0761 0003 -8278Banco AJ Renner SA N 0047 0021 0083 0015 0844 0006 -2553ABN Amro F 0035 0027 0047 0006 0889 0002 -7231Chase F 0054 0013 0157 0033 0804 0007 -2702LLoyds F 0033 0020 0043 0008 0821 0003 -5429BankBoston F 0036 0026 0060 0011 0888 0006 -1917Santander Brasil F 0055 0025 0115 0030 0864 0008 -1647Citibank F 0051 0020 0132 0025 0860 0003 -4735BNL F 0036 0026 0062 0012 0843 0005 -2959Sudameris F 0036 0031 0040 0004 0949 0011 -468Societe Generale F 0051 0018 0104 0024 0835 0007 -2454Europeu F 0034 0025 0041 0006 0859 0007 -2076ABC-Brasil F 0043 0026 0086 0015 0813 0003 -5797Dresdner F 0050 0014 0190 0046 0824 0004 -3975AGF Braseg F 0044 0024 0068 0014 0810 0005 -4109HSBC F 0052 0031 0110 0021 0948 0007 -776Deutsche F 0054 0012 0166 0030 0866 0005 -2754BNP Paribas F 0049 0028 0073 0013 0818 0004 -4092Barclays F 0065 0028 0121 0027 0811 0005 -4028Rabobank Int Brasil SA F 0047 0017 0102 0017 0845 0003 -4605B Nat de Paris Brasil SA F 0036 0017 0054 0013 0819 0005 -3304Ibibank SA - Banco Multiplo F 0043 0010 0114 0025 0782 0013 -1623Dresdner Bank - B Multiplo F 0096 0015 0270 0076 0785 0007 -2924Banco Westlb Do Brasil SA F 0041 0026 0062 0013 0853 0010 -154Banco GE Capital SA F 0054 0026 0253 0049 0862 0010 -1444B Com Uruguai SA F 0070 0017 0220 0058 0849 0003 -4471S - State-owned bank N - National bank and F - Foreign bank

44

Table A8 Estimates of Lerner index and return to scale by bank - Model (3)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0034 0090 0016 0941 0008 -772Banrisul S 0051 0032 0108 0016 0938 0008 -772BEC S 0035 0018 0051 0009 0856 0009 -1562BRB S 0052 0032 0122 0018 0958 0002 -1793BB S 0052 0035 0085 0015 0951 0006 -809Caixa Economica Federal S 0054 0039 0098 0014 1015 0003 465B da Amazonia SA S 0053 0014 0113 0024 0845 0008 -1977B do Estado Do Para SA S 0049 0028 0071 0010 0947 0005 -1117B do E do Maranhao SA S 0041 0032 0059 0008 0957 0015 -285B do E do Piauı SA - Bep S 0041 0028 0086 0014 0882 0005 -2518B do Estado De Sergipe SA S 0052 0021 0145 0022 0957 0004 -1182Nossa Caixa - N Banco SA S 0045 0029 0081 0015 0971 0005 -651Bradesco N 0052 0029 0101 0021 0893 0004 -2614Itau N 0054 0025 0203 0034 0872 0003 -4328Safra N 0048 0029 0093 0015 0869 0003 -5008Unibanco N 0041 0028 0067 0010 0874 0001 -8514Mercantil Do Brasil N 0053 0026 0095 0018 0939 0002 -29BBM N 0067 0013 0250 0056 0789 0005 -4501BMC N 0038 0024 0069 0010 0849 0003 -4408BMG N 0067 0015 0233 0058 0776 0004 -6374JMalucelli N 0052 0022 0087 0016 0720 0003 -9426PEBB N 0045 0014 0158 0040 0727 0009 -3192SS N 0057 0025 0231 0046 0797 0007 -287Sofisa N 0053 0018 0116 0026 0807 0002 -8444BIC N 0059 0030 0250 0049 0850 0006 -2596Schahin N 0048 0023 0220 0038 0842 0007 -2424Stock N 0083 0017 0304 0077 0838 0006 -2873Pine N 0049 0019 0105 0020 0810 0004 -5103Socopa N 0050 0026 0111 0018 0903 0003 -3253Intercap N 0055 0020 0196 0036 0828 0006 -283Indusval N 0062 0029 0282 0052 0863 0005 -2588Bonsucesso N 0051 0017 0118 0025 0789 0006 -3771Industrial do Brasil N 0046 0025 0086 0015 0815 0002 -8341Votorantim N 0050 0027 0128 0027 0809 0007 -2664Cacique N 0037 0020 0048 0009 0781 0005 -4645Inter Amex N 0039 0026 0058 0009 0842 0006 -2468Alfa N 0044 0031 0072 0011 0801 0002 -11998Rendimento N 0049 0022 0078 0011 0885 0008 -1463Bancoob N 0066 0057 0077 0007 0854 0003 -4342Original N 0102 0019 0301 0096 0730 0006 -4526Banco Intermedium SA N 0059 0027 0083 0020 0752 0006 -4354

Table A8 ndash Continue on next page

45

Table A8 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0017 0217 0054 0776 0003 -7084Banco BBN SA N 0038 0022 0058 0010 0831 0011 -1492B Cooperativo Sicredi SA N 0047 0035 0071 0010 0879 0005 -259B Cooperativo do Brasil SA N 0046 0035 0128 0020 0919 0006 -1339Banco Topazio SA N 0075 0036 0153 0041 0855 0005 -2657Banco Gerador SA N 0091 0057 0144 0034 0869 0008 -173Banco Randon SA N 0124 0029 0332 0112 0799 0005 -4023Parana Banco SA N 0036 0021 0071 0012 0797 0008 -2452Banco Triangulo SA N 0053 0023 0115 0027 0839 0004 -4256Banco Guanabara SA N 0047 0020 0100 0019 0790 0004 -561Banco Cedula SA N 0066 0012 0362 0068 0747 0003 -10082Banco Cacique SA N 0063 0026 0231 0074 0789 0016 -1336Banco Luso Brasileiro SA N 0066 0026 0249 0053 0865 0005 -2985Banco Pecunia SA N 0034 0029 0041 0004 0784 0003 -7038Banco Zogbi SA N 0036 0027 0046 0006 0782 0002 -13399Banco Daycoval SA N 0054 0019 0131 0034 0784 0004 -607Banco John Deere SA N 0039 0015 0083 0018 0761 0003 -8316Banco AJ Renner SA N 0049 0024 0073 0013 0840 0006 -2621ABN Amro F 0041 0030 0066 0009 0890 0002 -6866Chase F 0059 0013 0173 0039 0801 0007 -2733LLoyds F 0038 0021 0055 0010 0821 0003 -5484BankBoston F 0040 0028 0063 0012 0888 0006 -1931Santander Brasil F 0056 0028 0107 0027 0866 0008 -1663Citibank F 0052 0022 0123 0023 0860 0003 -4735BNL F 0039 0028 0063 0014 0841 0005 -2966Sudameris F 0041 0036 0052 0006 0948 0011 -473Societe Generale F 0052 0020 0103 0022 0833 0006 -2579Europeu F 0038 0030 0049 0007 0856 0007 -2153ABC-Brasil F 0046 0029 0079 0014 0813 0003 -5935Dresdner F 0055 0014 0212 0052 0822 0005 -3913AGF Braseg F 0046 0027 0071 0014 0806 0005 -4276HSBC F 0053 0032 0101 0019 0949 0007 -784Deutsche F 0058 0013 0141 0029 0863 0005 -2878BNP Paribas F 0051 0030 0074 0012 0818 0004 -4118Barclays F 0066 0025 0130 0030 0805 0005 -4123Rabobank Int Brasil SA F 0049 0019 0109 0018 0844 0003 -4752B Nat de Paris Brasil SA F 0041 0019 0069 0018 0817 0005 -3368Ibibank SA - Banco Multiplo F 0046 0010 0095 0021 0781 0014 -1617Dresdner Bank - B Multiplo F 0093 0017 0282 0072 0782 0008 -2899Banco Westlb Do Brasil SA F 0044 0027 0069 0015 0850 0009 -1591Banco GE Capital SA F 0055 0026 0249 0046 0859 0009 -1489B Com Uruguai SA F 0071 0017 0228 0056 0845 0003 -46241S - State-owned bank N - National bank and F - Foreign bank

46

Table A9 Estimates of Lerner index and return to scale by bank - Model (4)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0054 0041 0078 0011 0939 0007 -873Banrisul S 0055 0040 0106 0014 0948 0008 -692BEC S 0046 0020 0072 0014 0846 0009 -1746BRB S 0057 0032 0094 0016 0959 0002 -1673BB S 0057 0038 0095 0014 0981 0006 -33Caixa Economica Federal S 0061 0049 0165 0021 1042 0003 1249B da Amazonia SA S 0056 0015 0117 0022 0844 0008 -2047B do Estado Do Para SA S 0059 0025 0103 0020 0936 0004 -1701B do E Do Maranhao SA S 0052 0044 0062 0005 0936 0014 -448B do E Do Piauı SA - Bep S 0054 0029 0147 0028 0865 0004 -3201B do Estado De Sergipe SA S 0061 0023 0168 0026 0947 0004 -1484Nossa Caixa - N Banco SA S 0054 0035 0085 0012 0977 0004 -547Bradesco N 0056 0036 0107 0017 0919 0004 -2123Itau N 0058 0030 0212 0032 0896 0003 -3979Safra N 0052 0035 0107 0013 0882 0003 -445Unibanco N 0052 0035 0082 0013 0892 0001 -7446Mercantil Do Brasil N 0057 0027 0093 0015 0942 0002 -2687BBM N 0075 0015 0294 0064 0784 0005 -4512BMC N 0050 0029 0074 0011 0846 0003 -472BMG N 0065 0016 0202 0047 0779 0003 -7192JMalucelli N 0048 0022 0071 0014 0720 0003 -8923PEBB N 0061 0016 0172 0044 0704 0008 -382SS N 0056 0033 0213 0037 0799 0007 -2875Sofisa N 0053 0020 0087 0019 0805 0002 -9731BIC N 0061 0033 0269 0048 0854 0005 -2768Schahin N 0053 0027 0205 0034 0836 0006 -2627Stock N 0081 0020 0265 0068 0820 0006 -3122Pine N 0052 0022 0118 0021 0808 0004 -5467Socopa N 0054 0026 0114 0016 0888 0003 -3785Intercap N 0057 0023 0203 0035 0815 0006 -2877Indusval N 0062 0029 0239 0043 0857 0005 -3085Bonsucesso N 0052 0019 0088 0018 0782 0005 -403Industrial do Brasil N 0050 0030 0076 0015 0809 0002 -9427Votorantim N 0051 0036 0102 0017 0817 0008 -2222Cacique N 0050 0023 0067 0013 0776 0005 -4659Inter Amex N 0052 0035 0064 0009 0837 0007 -2226Alfa N 0048 0039 0071 0007 0805 0002 -11484Rendimento N 0052 0022 0076 0013 0874 0008 -1571Bancoob N 0057 0045 0071 0011 0855 0003 -5022Original N 0094 0017 0278 0090 0730 0006 -4242Banco Intermedium SA N 0049 0027 0065 0014 0746 0006 -4054

Table A9 ndash Continue on next page

47

Table A9 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0019 0220 0050 0764 0003 -7516Banco BBN SA N 0050 0027 0072 0013 0819 0012 -1529B Cooperativo Sicredi SA N 0051 0041 0068 0006 0875 0005 -2551B Cooperativo do Brasil SA N 0053 0044 0134 0018 0910 0006 -151Banco Topazio SA N 0066 0035 0128 0036 0837 0005 -2981Banco Gerador SA N 0082 0045 0157 0043 0854 0007 -1967Banco Randon SA N 0106 0026 0312 0105 0786 0005 -4204Parana Banco SA N 0048 0025 0102 0018 0787 0008 -2768Banco Triangulo SA N 0054 0027 0088 0021 0834 0004 -427Banco Guanabara SA N 0051 0023 0161 0025 0780 0004 -5659Banco Cedula SA N 0069 0012 0360 0065 0735 0003 -1028Banco Cacique SA N 0073 0027 0240 0075 0786 0016 -1327Banco Luso Brasileiro SA N 0065 0026 0242 0047 0852 0004 -346Banco Pecunia SA N 0045 0037 0056 0006 0773 0003 -7139Banco Zogbi SA N 0048 0036 0064 0010 0779 0001 -15057Banco Daycoval SA N 0055 0022 0126 0030 0784 0004 -568Banco John Deere SA N 0056 0018 0125 0031 0757 0003 -8084Banco AJ Renner SA N 0051 0025 0077 0013 0829 0006 -2763ABN Amro F 0053 0038 0074 0013 0909 0002 -4803Chase F 0066 0014 0220 0046 0793 0008 -2711LLoyds F 0050 0026 0060 0011 0825 0003 -5323BankBoston F 0054 0038 0092 0018 0899 0006 -1734Santander Brasil F 0056 0033 0098 0019 0885 0007 -1529Citibank F 0059 0025 0145 0030 0872 0003 -421BNL F 0052 0039 0091 0018 0840 0006 -2854Sudameris F 0053 0046 0062 0005 0961 0011 -352Societe Generale F 0058 0023 0144 0028 0827 0006 -2968Europeu F 0052 0031 0069 0012 0849 0007 -23ABC-Brasil F 0051 0028 0091 0015 0815 0003 -6225Dresdner F 0078 0017 0271 0071 0816 0005 -339AGF Braseg F 0050 0030 0094 0015 0797 0004 -4873HSBC F 0057 0045 0116 0016 0966 0006 -562Deutsche F 0066 0013 0151 0034 0858 0004 -3316BNP Paribas F 0050 0036 0071 0010 0823 0005 -3772Barclays F 0057 0024 0102 0025 0777 0007 -3003Rabobank Int Brasil SA F 0057 0021 0157 0026 0842 0003 -5266B Nat de Paris Brasil SA F 0059 0023 0102 0030 0812 0006 -3387Ibibank SA - Banco Multiplo F 0056 0012 0100 0023 0781 0015 -148Dresdner Bank - B Multiplo F 0084 0016 0237 0064 0771 0008 -2798Banco Westlb Do Brasil SA F 0061 0033 0101 0025 0841 0010 -1646Banco GE Capital SA F 0063 0031 0238 0044 0853 0010 -1548B Com Uruguai SA F 0074 0020 0226 0056 0833 0003 -51921S - State-owned bank N - National bank and F - Foreign bank

48

Table A10 Estimates of Lerner index and return to scale by bank - Model (5)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0043 0093 0012 0940 0007 -834Banrisul S 0054 0041 0083 0009 0949 0008 -668BEC S 0046 0020 0075 0014 0846 0009 -1719BRB S 0058 0032 0121 0017 0960 0002 -1607BB S 0056 0037 0087 0010 0981 0006 -321Caixa Economica Federal S 0061 0050 0156 0019 1044 0003 1282B da Amazonia SA S 0057 0016 0115 0023 0843 0008 -2023B do Estado Do Para SA S 0059 0027 0102 0020 0938 0004 -1608B do E Do Maranhao SA S 0052 0042 0064 0006 0939 0015 -418B do E Do Piauı SA - Bep S 0054 0029 0138 0025 0866 0004 -3097B do Estado De Sergipe SA S 0059 0024 0136 0020 0949 0004 -1404Nossa Caixa - N Banco SA S 0055 0036 0088 0013 0979 0004 -494Bradesco N 0056 0037 0108 0016 0918 0004 -2108Itau N 0058 0031 0213 0033 0894 0003 -3968Safra N 0052 0036 0086 0010 0881 0003 -4388Unibanco N 0053 0037 0085 0013 0892 0001 -7433Mercantil Do Brasil N 0057 0027 0086 0012 0943 0002 -2619BBM N 0075 0015 0292 0063 0784 0005 -447BMC N 0050 0029 0077 0012 0846 0003 -4648BMG N 0067 0017 0220 0051 0777 0003 -7116JMalucelli N 0049 0022 0083 0016 0718 0003 -8879PEBB N 0060 0017 0176 0044 0704 0008 -3743SS N 0059 0032 0223 0041 0798 0007 -2847Sofisa N 0055 0021 0112 0022 0804 0002 -9624BIC N 0060 0032 0238 0041 0853 0005 -2725Schahin N 0055 0028 0228 0038 0836 0006 -2575Stock N 0082 0019 0267 0068 0821 0006 -3063Pine N 0052 0022 0096 0018 0808 0004 -5392Socopa N 0055 0027 0113 0016 0889 0003 -3694Intercap N 0060 0023 0210 0037 0814 0006 -2856Indusval N 0062 0029 0245 0044 0857 0005 -3023Bonsucesso N 0053 0020 0113 0022 0781 0005 -3999Industrial do Brasil N 0051 0030 0084 0016 0808 0002 -9274Votorantim N 0052 0037 0130 0022 0816 0008 -2227Cacique N 0049 0024 0065 0012 0775 0005 -4632Inter Amex N 0052 0034 0067 0011 0837 0007 -2236Alfa N 0047 0041 0056 0004 0804 0002 -11448Rendimento N 0053 0022 0079 0011 0874 0008 -1549Bancoob N 0056 0050 0064 0005 0856 0003 -4874Original N 0087 0018 0288 0093 0728 0006 -4259Banco Intermedium SA N 0055 0027 0078 0019 0744 0006 -4047

Table A10 ndash Continue on next page

49

Table A10 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0217 0048 0763 0003 -7417Banco BBN SA N 0051 0026 0075 0014 0820 0012 -1504B Cooperativo Sicredi SA N 0051 0040 0061 0005 0876 0005 -2499B Cooperativo do Brasil SA N 0054 0043 0136 0019 0912 0006 -1445Banco Topazio SA N 0061 0034 0109 0026 0838 0006 -2897Banco Gerador SA N 0073 0052 0124 0026 0855 0008 -1918Banco Randon SA N 0120 0024 0327 0114 0785 0005 -4153Parana Banco SA N 0048 0026 0106 0020 0786 0008 -2732Banco Triangulo SA N 0055 0027 0111 0022 0834 0004 -4227Banco Guanabara SA N 0052 0024 0153 0024 0779 0004 -5589Banco Cedula SA N 0069 0012 0339 0062 0734 0003 -10232Banco Cacique SA N 0076 0027 0246 0076 0785 0016 -1317Banco Luso Brasileiro SA N 0067 0027 0207 0047 0852 0004 -3379Banco Pecunia SA N 0046 0038 0054 0006 0773 0003 -71Banco Zogbi SA N 0047 0037 0061 0010 0778 0001 -14931Banco Daycoval SA N 0054 0022 0126 0026 0782 0004 -5661Banco John Deere SA N 0056 0018 0129 0031 0756 0003 -8043Banco AJ Renner SA N 0053 0025 0080 0015 0829 0006 -2716ABN Amro F 0053 0038 0074 0012 0908 0002 -4751Chase F 0067 0014 0225 0047 0792 0008 -2693LLoyds F 0049 0025 0064 0012 0824 0003 -5227BankBoston F 0054 0037 0096 0020 0899 0006 -1701Santander Brasil F 0057 0033 0103 0019 0884 0008 -1511Citibank F 0059 0026 0154 0028 0871 0003 -4204BNL F 0052 0037 0097 0020 0840 0006 -28Sudameris F 0052 0045 0058 0005 0962 0011 -334Societe Generale F 0060 0023 0151 0031 0827 0006 -2924Europeu F 0050 0032 0066 0012 0849 0007 -2263ABC-Brasil F 0051 0025 0079 0014 0814 0003 -617Dresdner F 0080 0017 0276 0073 0816 0005 -3374AGF Braseg F 0050 0031 0093 0015 0796 0004 -4812HSBC F 0057 0043 0093 0011 0966 0006 -541Deutsche F 0066 0013 0155 0035 0858 0004 -3244BNP Paribas F 0050 0035 0067 0008 0822 0005 -3775Barclays F 0056 0024 0113 0025 0778 0007 -305Rabobank Int Brasil SA F 0057 0021 0163 0027 0842 0003 -5208B Nat de Paris Brasil SA F 0058 0022 0100 0029 0812 0006 -3343Ibibank SA - Banco Multiplo F 0057 0012 0099 0023 0780 0015 -1478Dresdner Bank - B Multiplo F 0087 0016 0244 0068 0770 0008 -2768Banco Westlb Do Brasil SA F 0063 0034 0106 0026 0841 0010 -1625Banco GE Capital SA F 0064 0032 0247 0046 0853 0010 -1522B Com Uruguai SA F 0073 0019 0191 0049 0833 0003 -50981S - State-owned bank N - National bank and F - Foreign bank

50

Table A11 Estimates of Lerner index and return to scale by bank - Model (6)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0036 0096 0015 0939 0007 -855Banrisul S 0050 0035 0098 0014 0938 0008 -82BEC S 0041 0019 0067 0012 0855 0009 -1644BRB S 0053 0029 0124 0018 0956 0002 -1996BB S 0051 0032 0088 0013 0954 0006 -807Caixa Economica Federal S 0054 0040 0094 0012 1014 0003 475B da Amazonia SA S 0053 0015 0103 0022 0846 0008 -205B do Estado Do Para SA S 0051 0028 0074 0013 0943 0004 -1319B do E Do Maranhao SA S 0041 0031 0059 0008 0950 0014 -346B do E Do Piauı SA - Bep S 0042 0028 0084 0012 0879 0004 -2727B do Estado De Sergipe SA S 0052 0022 0153 0022 0953 0003 -1377Nossa Caixa - N Banco SA S 0047 0032 0081 0014 0969 0004 -74Bradesco N 0052 0032 0097 0019 0898 0004 -2645Itau N 0054 0027 0190 0031 0877 0003 -4452Safra N 0049 0032 0100 0015 0872 0003 -5056Unibanco N 0043 0032 0067 0010 0878 0001 -8666Mercantil Do Brasil N 0053 0026 0087 0017 0938 0002 -3104BBM N 0066 0013 0251 0056 0792 0005 -4556BMC N 0041 0026 0069 0011 0850 0003 -4582BMG N 0067 0016 0228 0057 0781 0003 -6611JMalucelli N 0051 0022 0089 0017 0725 0003 -9344PEBB N 0046 0015 0157 0039 0728 0008 -3313SS N 0058 0025 0230 0046 0801 0007 -292Sofisa N 0053 0020 0119 0025 0809 0002 -8846BIC N 0060 0029 0262 0049 0852 0005 -2697Schahin N 0049 0025 0229 0040 0843 0006 -2523Stock N 0081 0017 0284 0072 0836 0005 -2986Pine N 0049 0021 0112 0019 0812 0004 -5267Socopa N 0050 0026 0095 0015 0900 0003 -3515Intercap N 0055 0021 0196 0035 0828 0006 -2899Indusval N 0061 0029 0262 0049 0863 0005 -2762Bonsucesso N 0052 0019 0123 0026 0791 0005 -3885Industrial do Brasil N 0046 0027 0088 0015 0816 0002 -8698Votorantim N 0051 0027 0139 0027 0813 0007 -262Cacique N 0039 0022 0050 0009 0784 0005 -4707Inter Amex N 0045 0027 0064 0012 0843 0006 -2493Alfa N 0044 0033 0068 0009 0805 0002 -12111Rendimento N 0050 0022 0073 0010 0883 0008 -1543Bancoob N 0066 0055 0072 0007 0856 0003 -4559Original N 0098 0020 0294 0094 0735 0006 -4509Banco Intermedium SA N 0057 0024 0085 0022 0756 0006 -4324

Table A11 ndash Continue on next page

51

Table A11 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0061 0017 0195 0048 0777 0003 -7233Banco BBN SA N 0042 0023 0059 0012 0831 0011 -1529B Cooperativo Sicredi SA N 0048 0035 0066 0009 0879 0005 -2672B Cooperativo do Brasil SA N 0046 0034 0119 0017 0917 0006 -1439Banco Topazio SA N 0070 0031 0129 0036 0853 0005 -2776Banco Gerador SA N 0086 0057 0148 0034 0867 0007 -1825Banco Randon SA N 0126 0028 0331 0114 0799 0005 -4136Parana Banco SA N 0039 0023 0082 0015 0798 0008 -2556Banco Triangulo SA N 0052 0025 0116 0025 0840 0004 -4363Banco Guanabara SA N 0048 0021 0100 0019 0792 0004 -5683Banco Cedula SA N 0067 0013 0356 0067 0749 0002 -10205Banco Cacique SA N 0067 0026 0232 0073 0792 0015 -1356Banco Luso Brasileiro SA N 0065 0025 0237 0052 0864 0004 -3163Banco Pecunia SA N 0037 0029 0045 0006 0786 0003 -7158Banco Zogbi SA N 0037 0027 0045 0007 0785 0002 -13921Banco Daycoval SA N 0053 0020 0120 0031 0787 0003 -6088Banco John Deere SA N 0043 0017 0099 0022 0764 0003 -8346Banco AJ Renner SA N 0050 0025 0080 0013 0840 0006 -2706ABN Amro F 0043 0035 0067 0008 0894 0002 -6685Chase F 0059 0014 0189 0040 0803 0007 -2772LLoyds F 0039 0021 0055 0012 0824 0003 -5536BankBoston F 0044 0029 0075 0015 0890 0006 -1965Santander Brasil F 0054 0028 0107 0024 0871 0008 -1694Citibank F 0054 0023 0133 0026 0863 0003 -4787BNL F 0042 0028 0078 0018 0843 0005 -2998Sudameris F 0041 0036 0052 0006 0948 0010 -491Societe Generale F 0054 0020 0118 0025 0834 0006 -2716Europeu F 0038 0029 0049 0008 0856 0006 -2239ABC-Brasil F 0046 0028 0084 0014 0816 0003 -6111Dresdner F 0063 0015 0239 0061 0823 0005 -3888AGF Braseg F 0047 0027 0074 0014 0807 0004 -4477HSBC F 0054 0032 0109 0018 0950 0006 -823Deutsche F 0058 0013 0122 0028 0863 0004 -305BNP Paribas F 0051 0032 0070 0011 0822 0004 -4145Barclays F 0064 0024 0128 0029 0802 0005 -4051Rabobank Int Brasil SA F 0051 0019 0130 0021 0846 0003 -4992B Nat de Paris Brasil SA F 0043 0019 0070 0019 0819 0005 -3429Ibibank SA - Banco Multiplo F 0049 0010 0083 0020 0785 0013 -161Dresdner Bank - B Multiplo F 0087 0016 0261 0066 0783 0007 -2901Banco Westlb Do Brasil SA F 0051 0030 0082 0019 0850 0009 -1643Banco GE Capital SA F 0053 0028 0239 0044 0859 0009 -1544B Com Uruguai SA F 0071 0017 0217 0054 0845 0003 -48451S - State-owned bank N - National bank and F - Foreign bank

52

Seacuterie de Textos para Discussatildeo do Curso de Ciecircncias Econocircmicas ndash FACEUFG ndash TD [078]

EDITORIAL FACE ndash Faculdade de Administraccedilatildeo Ciecircncias Contaacutebeis e Ciecircncias Econocircmicas Curso de Ciecircncias Econocircmicas Direccedilatildeo FACE Prof Moiseacutes Ferreira da Cunha Vice-Direccedilatildeo FACE Profordf Andreacutea Freire de Lucena Coordenaccedilatildeo do Curso de Ciecircncias Econocircmicas Prof Tiago Camarinha Lopes NEPEC ndash Nuacutecleo de Estudos e Pesquisas Econocircmicas Coordenaccedilatildeo Prof Seacutergio Fornazier Meyrelles Filho SEacuteRIE DE TEXTOS PARA DISCUSSAtildeO DO CURSO DE CIEcircNCIAS ECONOcircMICAS DA UFG Coordenaccedilatildeo e Equipe de Editoraccedilatildeo Prof Sandro Eduardo Monsueto Adriana Moura Guimaratildees Matheus Henrique de Arauacutejo Dutra

Endereccedilo Campus Samambaia Preacutedio da FACE ndash Rodovia GoiacircniaNova Veneza km 0 ndash CEP 74690-900 Goiacircnia ndash GO Tel (62) 3521 ndash 1390 URL httpwwwfaceufgbreconomia Publicaccedilatildeo cujo objetivo eacute divulgar resultados de estudos que contam com a participaccedilatildeo de pesquisadores do NEPEC As opiniotildees contidas nesta publicaccedilatildeo satildeo de inteira responsabilidade do(s) autor(es) natildeo representando necessariamente o ponto de vista do NEPEC ou da FACEUFG Eacute permitida a reproduccedilatildeo desde que citada a fonte

Page 41: 1(3(& )$&( 8)* · The Dark Side of Prudential MeasuresI Paulo R. Scalco a, Benjamin M. Tabak1, Anderson M. Teixeira aFaculty of Management, Accounting and Economics, Federal University

Table 3 Estimates of Lerner index general and by type of control

EstimatesModel Model Model Model Model Model

(1) (2) (3) (4) (5) (6)Mark-up (L) generalAverage 0058 0051 0053 0057 0058 0053std-dev 0032 0034 0034 0032 0032 00331st quartile 0043 0031 0034 0041 0042 0036Median 0051 0039 0044 0050 0050 00453st quartile 0063 0060 0059 0063 0063 0060Mark-up (L) State-owned banksAverage 0057 0047 0049 0056 0056 0050std-dev 0018 0017 0017 0018 0016 00161st quartile 0047 0035 0038 0045 0046 0040Median 0054 0041 0046 0053 0053 00463st quartile 0064 0056 0056 0064 0063 0057Mark-up (L) National banksAverage 0057 0052 0054 0057 0057 0054std-dev 0034 0038 0038 0035 0035 00371st quartile 0041 0030 0033 0040 0041 0035Median 0050 0038 0043 0048 0049 00443st quartile 0061 0061 0060 0061 0062 0060Mark-up (L) Foreign banksAverage 0061 0050 0053 0059 0060 0054std-dev 0034 0033 0032 0034 0034 00321st quartile 0042 0031 0034 0041 0042 0036Median 0052 0040 0044 0051 0051 00453st quartile 0068 0059 0060 0066 0066 0061

Table 4 Estimates of returns to scale by control type and general

ModelState-owned

banksNational

banksForeignbanks

General std-dev Min Max

1 0944 0824 0842 0848 0073 0665 11242 0940 0829 0843 0851 0066 0690 10733 0938 0827 0842 0849 0066 0689 10764 0941 0824 0842 0848 0071 0671 11115 0942 0824 0841 0848 0072 0669 11136 0937 0829 0844 0850 0065 0692 1073

39

Appendix A Attachment Tables

Table A5 Cumulative change on Prudential Measures intensity

TimeCapitalBuffer 2

(cb)

CapitalReq(cr)

Loan-to-Value(ltv)

Reserve Reqlocal curr

(RR local)

Reserve Reqforeign cur

(RR foreign)

CumulativePrudential 3

(Cum Prud)2000q2 -1 0 0 0 -2 -32000q4 -1 0 0 0 -2 -32001q2 -1 0 0 0 -2 -32001q4 0 0 0 0 -1 -12002q2 0 0 0 0 0 02002q4 2 0 0 0 2 42003q2 0 0 0 0 3 32003q4 0 0 0 0 2 22004q2 0 0 0 0 2 22004q4 0 0 0 0 2 22005q2 0 0 0 0 2 22005q4 0 0 0 0 2 22006q2 0 0 0 0 2 22006q4 0 0 0 0 2 22007q2 2 0 0 0 2 42007q4 2 0 0 0 2 42008q2 2 0 0 0 2 42008q4 2 0 0 0 1 32009q2 2 0 0 0 0 22009q4 2 0 0 0 -1 12010q2 2 0 0 0 1 32010q4 3 0 0 0 3 62011q2 3 0 0 1 3 72011q4 4 0 0 2 3 92012q2 3 1 0 2 3 92012q4 3 1 0 1 2 72013q2 3 2 0 0 2 72013q4 3 2 1 0 2 82014q2 3 2 1 0 2 82014q4 2 2 1 0 3 82Sum of capital buffer and others 3Aggregate measure (It is the sum of the change of all other instrument)

40

Table A6 Estimates of Lerner index and return to scale by bank - Model (1)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0042 0082 0009 0940 0007 -85Banrisul S 0055 0041 0084 0009 0952 0008 -635BEC S 0048 0021 0077 0016 0844 0009 -1756BRB S 0058 0033 0100 0015 0961 0003 -1533BB S 0058 0039 0098 0012 0990 0006 -173Caixa Economica Federal S 0063 0051 0174 0022 1052 0004 1458B da Amazonia SA S 0057 0016 0124 0023 0844 0008 -2028B do Estado Do Para SA S 0061 0026 0110 0022 0936 0004 -1764B do Est do Maranhao SA S 0055 0046 0065 0006 0935 0014 -455B do Est do Piauı SA - Bep S 0057 0030 0155 0029 0862 0004 -326B do Estado De Sergipe SA S 0061 0024 0135 0022 0947 0004 -1453Nossa Caixa - N Banco SA S 0057 0036 0090 0013 0981 0004 -444Bradesco N 0056 0038 0114 0015 0925 0004 -1945Itau N 0059 0031 0220 0033 0901 0003 -3797Safra N 0053 0037 0085 0009 0885 0003 -4215Unibanco N 0055 0037 0088 0014 0897 0001 -7054Mercantil Do Brasil N 0057 0027 0077 0011 0945 0002 -2527BBM N 0076 0016 0300 0065 0783 0005 -4464BMC N 0052 0030 0079 0012 0845 0003 -4703BMG N 0065 0017 0208 0045 0779 0003 -729JMalucelli N 0047 0022 0069 0013 0718 0003 -8765PEBB N 0065 0017 0181 0047 0698 0008 -3914SS N 0057 0034 0220 0037 0799 0007 -2839Sofisa N 0054 0021 0092 0020 0804 0002 -9903BIC N 0060 0034 0236 0040 0855 0005 -276Schahin N 0056 0028 0214 0035 0835 0006 -262Stock N 0081 0020 0267 0067 0817 0006 -3107Pine N 0052 0022 0108 0019 0808 0004 -545Socopa N 0056 0027 0120 0017 0886 0003 -3806Intercap N 0060 0023 0212 0037 0812 0007 -2851Indusval N 0062 0030 0246 0043 0857 0005 -3139Bonsucesso N 0052 0020 0092 0018 0779 0005 -4033Industrial do Brasil N 0051 0031 0081 0016 0807 0002 -952Votorantim N 0052 0037 0107 0017 0819 0009 -2117Cacique N 0053 0024 0071 0014 0774 0005 -4621Inter Amex N 0055 0037 0068 0010 0837 0008 -2158Alfa N 0048 0041 0059 0005 0806 0002 -11303Rendimento N 0053 0022 0080 0012 0872 0008 -1562Bancoob N 0052 0046 0056 0003 0856 0003 -5061Original N 0085 0017 0279 0090 0729 0007 -4163Banco Intermedium SA N 0052 0028 0070 0015 0743 0006 -3973

Table A6 ndash Continue on next page

41

Table A6 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0225 0049 0761 0003 -7509Banco BBN SA N 0053 0027 0077 0014 0817 0012 -1509B Cooperativo Sicredi SA N 0052 0043 0062 0005 0875 0005 -2477B Cooperativo do Brasil SA N 0056 0046 0142 0020 0910 0006 -1479Banco Topazio SA N 0060 0035 0110 0027 0834 0006 -2966Banco Gerador SA N 0069 0045 0122 0028 0852 0008 -1968Banco Randon SA N 0109 0023 0320 0109 0783 0005 -4158Parana Banco SA N 0050 0026 0108 0020 0784 0008 -2799Banco Triangulo SA N 0055 0028 0091 0020 0833 0004 -4201Banco Guanabara SA N 0052 0024 0169 0025 0777 0004 -5588Banco Cedula SA N 0068 0012 0339 0061 0731 0003 -10236Banco Cacique SA N 0077 0028 0248 0077 0785 0016 -1309B Luso Brasileiro SA N 0065 0027 0208 0043 0849 0004 -349Banco Pecunia SA N 0047 0039 0060 0006 0770 0003 -7086Banco Zogbi SA N 0051 0038 0067 0011 0778 0001 -15193Banco Daycoval SA N 0054 0023 0131 0026 0783 0004 -5522B John Deere SA N 0059 0018 0133 0033 0756 0003 -7955Banco AJ Renner SA N 0053 0025 0081 0015 0827 0006 -2742ABN Amro F 0056 0039 0079 0014 0914 0002 -427Chase F 0068 0014 0228 0049 0790 0008 -2678LLoyds F 0053 0027 0064 0012 0825 0003 -5159BankBoston F 0057 0040 0099 0020 0902 0006 -1638Santander Brasil F 0057 0034 0097 0017 0890 0008 -146Citibank F 0059 0026 0153 0028 0875 0003 -4039BNL F 0055 0041 0097 0019 0840 0006 -2767Sudameris F 0056 0048 0065 0005 0966 0012 -297Societe Generale F 0060 0024 0153 0031 0826 0006 -299Europeu F 0054 0032 0073 0013 0848 0007 -2287ABC-Brasil F 0052 0025 0082 0014 0815 0003 -6207Dresdner F 0083 0017 0280 0074 0815 0006 -3234AGF Braseg F 0051 0031 0100 0016 0794 0004 -4923HSBC F 0057 0046 0092 0010 0971 0006 -466Deutsche F 0068 0013 0160 0036 0857 0004 -3335BNP Paribas F 0050 0037 0068 0007 0824 0005 -3665Barclays F 0052 0024 0089 0021 0771 0008 -2787Rabobank Int Brasil SA F 0058 0022 0166 0028 0842 0003 -5284B Nat de Paris Br SA F 0063 0023 0109 0033 0811 0006 -3331Ibibank SA - Banco Multiplo F 0059 0012 0106 0024 0781 0015 -1441Dresdner Bank - B Multiplo F 0086 0016 0244 0068 0768 0008 -2746Banco Westlb Do Brasil SA F 0064 0034 0108 0027 0839 0010 -1626Banco GE Capital SA F 0067 0032 0247 0047 0852 0010 -1527B Com Uruguai SA F 0072 0020 0192 0049 0830 0003 -52281S - State-owned bank N - National bank and F - Foreign bank

42

Table A7 Estimates of Lerner index and return to scale by bank - Model (2)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0049 0032 0085 0016 0944 0008 -716Banrisul S 0049 0032 0106 0017 0939 0008 -75BEC S 0032 0016 0046 0008 0860 0009 -1489BRB S 0049 0030 0112 0017 0961 0002 -1681BB S 0049 0032 0091 0016 0948 0006 -845Caixa Economica Federal S 0052 0034 0081 0014 1012 0003 382B da Amazonia SA S 0053 0015 0140 0028 0847 0008 -1922B do Estado Do Para SA S 0046 0029 0063 0009 0952 0005 -963B do Est do Maranhao SA S 0036 0029 0045 0005 0963 0016 -235B do Est do Piauı SA - Bep S 0036 0023 0071 0011 0888 0005 -2314B do Estado De Sergipe SA S 0050 0020 0155 0024 0962 0004 -1043Nossa Caixa - N Banco SA S 0039 0027 0074 0011 0972 0005 -601Bradesco N 0050 0028 0116 0023 0890 0004 -2618Itau N 0052 0024 0222 0037 0869 0003 -4269Safra N 0046 0028 0100 0017 0867 0003 -5042Unibanco N 0035 0028 0054 0007 0873 0001 -8511Mercantil Do Brasil N 0051 0029 0093 0019 0941 0002 -2837BBM N 0063 0012 0213 0048 0790 0005 -4494BMC N 0034 0023 0049 0007 0851 0003 -4266BMG N 0065 0015 0233 0057 0776 0004 -6135JMalucelli N 0052 0018 0080 0016 0720 0003 -9566PEBB N 0037 0014 0108 0025 0732 0009 -3086SS N 0056 0024 0236 0046 0797 0007 -2849Sofisa N 0052 0018 0107 0028 0808 0002 -8115BIC N 0057 0026 0259 0050 0850 0006 -2531Schahin N 0047 0022 0225 0041 0845 0007 -2359Stock N 0078 0017 0287 0071 0843 0006 -2782Pine N 0048 0018 0114 0023 0811 0004 -4973Socopa N 0050 0022 0136 0024 0908 0003 -3089Intercap N 0051 0019 0133 0031 0832 0006 -2759Indusval N 0061 0023 0267 0052 0866 0006 -2437Bonsucesso N 0050 0017 0109 0026 0791 0006 -3655Industrial do Brasil N 0044 0024 0079 0015 0816 0002 -8095Votorantim N 0048 0025 0120 0026 0807 0007 -2721Cacique N 0033 0020 0039 0006 0782 0005 -4597Inter Amex N 0035 0025 0045 0007 0844 0006 -2419Alfa N 0042 0029 0069 0013 0801 0002 -12139Rendimento N 0049 0019 0077 0015 0889 0008 -1394Bancoob N 0065 0057 0073 0006 0855 0003 -4199Original N 0099 0019 0299 0096 0732 0006 -4473Banco Intermedium SA N 0062 0032 0081 0019 0754 0006 -4393

Table A7 ndash Continue on next page

43

Table A7 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0059 0016 0239 0051 0778 0003 -6944Banco BBN SA N 0035 0020 0053 0009 0834 0011 -1466B Cooperativo Sicredi SA N 0045 0032 0070 0011 0881 0005 -2581B Cooperativo do Brasil SA N 0045 0029 0147 0025 0922 0006 -1274Banco Topazio SA N 0076 0043 0138 0038 0861 0005 -2569Banco Gerador SA N 0089 0054 0153 0037 0874 0008 -1645Banco Randon SA N 0122 0029 0335 0113 0803 0005 -388Parana Banco SA N 0033 0020 0062 0011 0800 0009 -234Banco Triangulo SA N 0052 0022 0105 0027 0841 0004 -4148Banco Guanabara SA N 0046 0019 0091 0020 0793 0004 -5561Banco Cedula SA N 0062 0011 0359 0067 0749 0003 -9911Banco Cacique SA N 0049 0020 0157 0048 0791 0016 -1315Banco Luso Brasileiro SA N 0066 0022 0241 0055 0870 0005 -2851Banco Pecunia SA N 0032 0027 0036 0003 0787 0003 -6876Banco Zogbi SA N 0032 0026 0037 0005 0784 0002 -13006Banco Daycoval SA N 0053 0019 0139 0036 0784 0004 -6065Banco John Deere SA N 0035 0016 0073 0016 0761 0003 -8278Banco AJ Renner SA N 0047 0021 0083 0015 0844 0006 -2553ABN Amro F 0035 0027 0047 0006 0889 0002 -7231Chase F 0054 0013 0157 0033 0804 0007 -2702LLoyds F 0033 0020 0043 0008 0821 0003 -5429BankBoston F 0036 0026 0060 0011 0888 0006 -1917Santander Brasil F 0055 0025 0115 0030 0864 0008 -1647Citibank F 0051 0020 0132 0025 0860 0003 -4735BNL F 0036 0026 0062 0012 0843 0005 -2959Sudameris F 0036 0031 0040 0004 0949 0011 -468Societe Generale F 0051 0018 0104 0024 0835 0007 -2454Europeu F 0034 0025 0041 0006 0859 0007 -2076ABC-Brasil F 0043 0026 0086 0015 0813 0003 -5797Dresdner F 0050 0014 0190 0046 0824 0004 -3975AGF Braseg F 0044 0024 0068 0014 0810 0005 -4109HSBC F 0052 0031 0110 0021 0948 0007 -776Deutsche F 0054 0012 0166 0030 0866 0005 -2754BNP Paribas F 0049 0028 0073 0013 0818 0004 -4092Barclays F 0065 0028 0121 0027 0811 0005 -4028Rabobank Int Brasil SA F 0047 0017 0102 0017 0845 0003 -4605B Nat de Paris Brasil SA F 0036 0017 0054 0013 0819 0005 -3304Ibibank SA - Banco Multiplo F 0043 0010 0114 0025 0782 0013 -1623Dresdner Bank - B Multiplo F 0096 0015 0270 0076 0785 0007 -2924Banco Westlb Do Brasil SA F 0041 0026 0062 0013 0853 0010 -154Banco GE Capital SA F 0054 0026 0253 0049 0862 0010 -1444B Com Uruguai SA F 0070 0017 0220 0058 0849 0003 -4471S - State-owned bank N - National bank and F - Foreign bank

44

Table A8 Estimates of Lerner index and return to scale by bank - Model (3)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0034 0090 0016 0941 0008 -772Banrisul S 0051 0032 0108 0016 0938 0008 -772BEC S 0035 0018 0051 0009 0856 0009 -1562BRB S 0052 0032 0122 0018 0958 0002 -1793BB S 0052 0035 0085 0015 0951 0006 -809Caixa Economica Federal S 0054 0039 0098 0014 1015 0003 465B da Amazonia SA S 0053 0014 0113 0024 0845 0008 -1977B do Estado Do Para SA S 0049 0028 0071 0010 0947 0005 -1117B do E do Maranhao SA S 0041 0032 0059 0008 0957 0015 -285B do E do Piauı SA - Bep S 0041 0028 0086 0014 0882 0005 -2518B do Estado De Sergipe SA S 0052 0021 0145 0022 0957 0004 -1182Nossa Caixa - N Banco SA S 0045 0029 0081 0015 0971 0005 -651Bradesco N 0052 0029 0101 0021 0893 0004 -2614Itau N 0054 0025 0203 0034 0872 0003 -4328Safra N 0048 0029 0093 0015 0869 0003 -5008Unibanco N 0041 0028 0067 0010 0874 0001 -8514Mercantil Do Brasil N 0053 0026 0095 0018 0939 0002 -29BBM N 0067 0013 0250 0056 0789 0005 -4501BMC N 0038 0024 0069 0010 0849 0003 -4408BMG N 0067 0015 0233 0058 0776 0004 -6374JMalucelli N 0052 0022 0087 0016 0720 0003 -9426PEBB N 0045 0014 0158 0040 0727 0009 -3192SS N 0057 0025 0231 0046 0797 0007 -287Sofisa N 0053 0018 0116 0026 0807 0002 -8444BIC N 0059 0030 0250 0049 0850 0006 -2596Schahin N 0048 0023 0220 0038 0842 0007 -2424Stock N 0083 0017 0304 0077 0838 0006 -2873Pine N 0049 0019 0105 0020 0810 0004 -5103Socopa N 0050 0026 0111 0018 0903 0003 -3253Intercap N 0055 0020 0196 0036 0828 0006 -283Indusval N 0062 0029 0282 0052 0863 0005 -2588Bonsucesso N 0051 0017 0118 0025 0789 0006 -3771Industrial do Brasil N 0046 0025 0086 0015 0815 0002 -8341Votorantim N 0050 0027 0128 0027 0809 0007 -2664Cacique N 0037 0020 0048 0009 0781 0005 -4645Inter Amex N 0039 0026 0058 0009 0842 0006 -2468Alfa N 0044 0031 0072 0011 0801 0002 -11998Rendimento N 0049 0022 0078 0011 0885 0008 -1463Bancoob N 0066 0057 0077 0007 0854 0003 -4342Original N 0102 0019 0301 0096 0730 0006 -4526Banco Intermedium SA N 0059 0027 0083 0020 0752 0006 -4354

Table A8 ndash Continue on next page

45

Table A8 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0017 0217 0054 0776 0003 -7084Banco BBN SA N 0038 0022 0058 0010 0831 0011 -1492B Cooperativo Sicredi SA N 0047 0035 0071 0010 0879 0005 -259B Cooperativo do Brasil SA N 0046 0035 0128 0020 0919 0006 -1339Banco Topazio SA N 0075 0036 0153 0041 0855 0005 -2657Banco Gerador SA N 0091 0057 0144 0034 0869 0008 -173Banco Randon SA N 0124 0029 0332 0112 0799 0005 -4023Parana Banco SA N 0036 0021 0071 0012 0797 0008 -2452Banco Triangulo SA N 0053 0023 0115 0027 0839 0004 -4256Banco Guanabara SA N 0047 0020 0100 0019 0790 0004 -561Banco Cedula SA N 0066 0012 0362 0068 0747 0003 -10082Banco Cacique SA N 0063 0026 0231 0074 0789 0016 -1336Banco Luso Brasileiro SA N 0066 0026 0249 0053 0865 0005 -2985Banco Pecunia SA N 0034 0029 0041 0004 0784 0003 -7038Banco Zogbi SA N 0036 0027 0046 0006 0782 0002 -13399Banco Daycoval SA N 0054 0019 0131 0034 0784 0004 -607Banco John Deere SA N 0039 0015 0083 0018 0761 0003 -8316Banco AJ Renner SA N 0049 0024 0073 0013 0840 0006 -2621ABN Amro F 0041 0030 0066 0009 0890 0002 -6866Chase F 0059 0013 0173 0039 0801 0007 -2733LLoyds F 0038 0021 0055 0010 0821 0003 -5484BankBoston F 0040 0028 0063 0012 0888 0006 -1931Santander Brasil F 0056 0028 0107 0027 0866 0008 -1663Citibank F 0052 0022 0123 0023 0860 0003 -4735BNL F 0039 0028 0063 0014 0841 0005 -2966Sudameris F 0041 0036 0052 0006 0948 0011 -473Societe Generale F 0052 0020 0103 0022 0833 0006 -2579Europeu F 0038 0030 0049 0007 0856 0007 -2153ABC-Brasil F 0046 0029 0079 0014 0813 0003 -5935Dresdner F 0055 0014 0212 0052 0822 0005 -3913AGF Braseg F 0046 0027 0071 0014 0806 0005 -4276HSBC F 0053 0032 0101 0019 0949 0007 -784Deutsche F 0058 0013 0141 0029 0863 0005 -2878BNP Paribas F 0051 0030 0074 0012 0818 0004 -4118Barclays F 0066 0025 0130 0030 0805 0005 -4123Rabobank Int Brasil SA F 0049 0019 0109 0018 0844 0003 -4752B Nat de Paris Brasil SA F 0041 0019 0069 0018 0817 0005 -3368Ibibank SA - Banco Multiplo F 0046 0010 0095 0021 0781 0014 -1617Dresdner Bank - B Multiplo F 0093 0017 0282 0072 0782 0008 -2899Banco Westlb Do Brasil SA F 0044 0027 0069 0015 0850 0009 -1591Banco GE Capital SA F 0055 0026 0249 0046 0859 0009 -1489B Com Uruguai SA F 0071 0017 0228 0056 0845 0003 -46241S - State-owned bank N - National bank and F - Foreign bank

46

Table A9 Estimates of Lerner index and return to scale by bank - Model (4)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0054 0041 0078 0011 0939 0007 -873Banrisul S 0055 0040 0106 0014 0948 0008 -692BEC S 0046 0020 0072 0014 0846 0009 -1746BRB S 0057 0032 0094 0016 0959 0002 -1673BB S 0057 0038 0095 0014 0981 0006 -33Caixa Economica Federal S 0061 0049 0165 0021 1042 0003 1249B da Amazonia SA S 0056 0015 0117 0022 0844 0008 -2047B do Estado Do Para SA S 0059 0025 0103 0020 0936 0004 -1701B do E Do Maranhao SA S 0052 0044 0062 0005 0936 0014 -448B do E Do Piauı SA - Bep S 0054 0029 0147 0028 0865 0004 -3201B do Estado De Sergipe SA S 0061 0023 0168 0026 0947 0004 -1484Nossa Caixa - N Banco SA S 0054 0035 0085 0012 0977 0004 -547Bradesco N 0056 0036 0107 0017 0919 0004 -2123Itau N 0058 0030 0212 0032 0896 0003 -3979Safra N 0052 0035 0107 0013 0882 0003 -445Unibanco N 0052 0035 0082 0013 0892 0001 -7446Mercantil Do Brasil N 0057 0027 0093 0015 0942 0002 -2687BBM N 0075 0015 0294 0064 0784 0005 -4512BMC N 0050 0029 0074 0011 0846 0003 -472BMG N 0065 0016 0202 0047 0779 0003 -7192JMalucelli N 0048 0022 0071 0014 0720 0003 -8923PEBB N 0061 0016 0172 0044 0704 0008 -382SS N 0056 0033 0213 0037 0799 0007 -2875Sofisa N 0053 0020 0087 0019 0805 0002 -9731BIC N 0061 0033 0269 0048 0854 0005 -2768Schahin N 0053 0027 0205 0034 0836 0006 -2627Stock N 0081 0020 0265 0068 0820 0006 -3122Pine N 0052 0022 0118 0021 0808 0004 -5467Socopa N 0054 0026 0114 0016 0888 0003 -3785Intercap N 0057 0023 0203 0035 0815 0006 -2877Indusval N 0062 0029 0239 0043 0857 0005 -3085Bonsucesso N 0052 0019 0088 0018 0782 0005 -403Industrial do Brasil N 0050 0030 0076 0015 0809 0002 -9427Votorantim N 0051 0036 0102 0017 0817 0008 -2222Cacique N 0050 0023 0067 0013 0776 0005 -4659Inter Amex N 0052 0035 0064 0009 0837 0007 -2226Alfa N 0048 0039 0071 0007 0805 0002 -11484Rendimento N 0052 0022 0076 0013 0874 0008 -1571Bancoob N 0057 0045 0071 0011 0855 0003 -5022Original N 0094 0017 0278 0090 0730 0006 -4242Banco Intermedium SA N 0049 0027 0065 0014 0746 0006 -4054

Table A9 ndash Continue on next page

47

Table A9 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0019 0220 0050 0764 0003 -7516Banco BBN SA N 0050 0027 0072 0013 0819 0012 -1529B Cooperativo Sicredi SA N 0051 0041 0068 0006 0875 0005 -2551B Cooperativo do Brasil SA N 0053 0044 0134 0018 0910 0006 -151Banco Topazio SA N 0066 0035 0128 0036 0837 0005 -2981Banco Gerador SA N 0082 0045 0157 0043 0854 0007 -1967Banco Randon SA N 0106 0026 0312 0105 0786 0005 -4204Parana Banco SA N 0048 0025 0102 0018 0787 0008 -2768Banco Triangulo SA N 0054 0027 0088 0021 0834 0004 -427Banco Guanabara SA N 0051 0023 0161 0025 0780 0004 -5659Banco Cedula SA N 0069 0012 0360 0065 0735 0003 -1028Banco Cacique SA N 0073 0027 0240 0075 0786 0016 -1327Banco Luso Brasileiro SA N 0065 0026 0242 0047 0852 0004 -346Banco Pecunia SA N 0045 0037 0056 0006 0773 0003 -7139Banco Zogbi SA N 0048 0036 0064 0010 0779 0001 -15057Banco Daycoval SA N 0055 0022 0126 0030 0784 0004 -568Banco John Deere SA N 0056 0018 0125 0031 0757 0003 -8084Banco AJ Renner SA N 0051 0025 0077 0013 0829 0006 -2763ABN Amro F 0053 0038 0074 0013 0909 0002 -4803Chase F 0066 0014 0220 0046 0793 0008 -2711LLoyds F 0050 0026 0060 0011 0825 0003 -5323BankBoston F 0054 0038 0092 0018 0899 0006 -1734Santander Brasil F 0056 0033 0098 0019 0885 0007 -1529Citibank F 0059 0025 0145 0030 0872 0003 -421BNL F 0052 0039 0091 0018 0840 0006 -2854Sudameris F 0053 0046 0062 0005 0961 0011 -352Societe Generale F 0058 0023 0144 0028 0827 0006 -2968Europeu F 0052 0031 0069 0012 0849 0007 -23ABC-Brasil F 0051 0028 0091 0015 0815 0003 -6225Dresdner F 0078 0017 0271 0071 0816 0005 -339AGF Braseg F 0050 0030 0094 0015 0797 0004 -4873HSBC F 0057 0045 0116 0016 0966 0006 -562Deutsche F 0066 0013 0151 0034 0858 0004 -3316BNP Paribas F 0050 0036 0071 0010 0823 0005 -3772Barclays F 0057 0024 0102 0025 0777 0007 -3003Rabobank Int Brasil SA F 0057 0021 0157 0026 0842 0003 -5266B Nat de Paris Brasil SA F 0059 0023 0102 0030 0812 0006 -3387Ibibank SA - Banco Multiplo F 0056 0012 0100 0023 0781 0015 -148Dresdner Bank - B Multiplo F 0084 0016 0237 0064 0771 0008 -2798Banco Westlb Do Brasil SA F 0061 0033 0101 0025 0841 0010 -1646Banco GE Capital SA F 0063 0031 0238 0044 0853 0010 -1548B Com Uruguai SA F 0074 0020 0226 0056 0833 0003 -51921S - State-owned bank N - National bank and F - Foreign bank

48

Table A10 Estimates of Lerner index and return to scale by bank - Model (5)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0043 0093 0012 0940 0007 -834Banrisul S 0054 0041 0083 0009 0949 0008 -668BEC S 0046 0020 0075 0014 0846 0009 -1719BRB S 0058 0032 0121 0017 0960 0002 -1607BB S 0056 0037 0087 0010 0981 0006 -321Caixa Economica Federal S 0061 0050 0156 0019 1044 0003 1282B da Amazonia SA S 0057 0016 0115 0023 0843 0008 -2023B do Estado Do Para SA S 0059 0027 0102 0020 0938 0004 -1608B do E Do Maranhao SA S 0052 0042 0064 0006 0939 0015 -418B do E Do Piauı SA - Bep S 0054 0029 0138 0025 0866 0004 -3097B do Estado De Sergipe SA S 0059 0024 0136 0020 0949 0004 -1404Nossa Caixa - N Banco SA S 0055 0036 0088 0013 0979 0004 -494Bradesco N 0056 0037 0108 0016 0918 0004 -2108Itau N 0058 0031 0213 0033 0894 0003 -3968Safra N 0052 0036 0086 0010 0881 0003 -4388Unibanco N 0053 0037 0085 0013 0892 0001 -7433Mercantil Do Brasil N 0057 0027 0086 0012 0943 0002 -2619BBM N 0075 0015 0292 0063 0784 0005 -447BMC N 0050 0029 0077 0012 0846 0003 -4648BMG N 0067 0017 0220 0051 0777 0003 -7116JMalucelli N 0049 0022 0083 0016 0718 0003 -8879PEBB N 0060 0017 0176 0044 0704 0008 -3743SS N 0059 0032 0223 0041 0798 0007 -2847Sofisa N 0055 0021 0112 0022 0804 0002 -9624BIC N 0060 0032 0238 0041 0853 0005 -2725Schahin N 0055 0028 0228 0038 0836 0006 -2575Stock N 0082 0019 0267 0068 0821 0006 -3063Pine N 0052 0022 0096 0018 0808 0004 -5392Socopa N 0055 0027 0113 0016 0889 0003 -3694Intercap N 0060 0023 0210 0037 0814 0006 -2856Indusval N 0062 0029 0245 0044 0857 0005 -3023Bonsucesso N 0053 0020 0113 0022 0781 0005 -3999Industrial do Brasil N 0051 0030 0084 0016 0808 0002 -9274Votorantim N 0052 0037 0130 0022 0816 0008 -2227Cacique N 0049 0024 0065 0012 0775 0005 -4632Inter Amex N 0052 0034 0067 0011 0837 0007 -2236Alfa N 0047 0041 0056 0004 0804 0002 -11448Rendimento N 0053 0022 0079 0011 0874 0008 -1549Bancoob N 0056 0050 0064 0005 0856 0003 -4874Original N 0087 0018 0288 0093 0728 0006 -4259Banco Intermedium SA N 0055 0027 0078 0019 0744 0006 -4047

Table A10 ndash Continue on next page

49

Table A10 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0217 0048 0763 0003 -7417Banco BBN SA N 0051 0026 0075 0014 0820 0012 -1504B Cooperativo Sicredi SA N 0051 0040 0061 0005 0876 0005 -2499B Cooperativo do Brasil SA N 0054 0043 0136 0019 0912 0006 -1445Banco Topazio SA N 0061 0034 0109 0026 0838 0006 -2897Banco Gerador SA N 0073 0052 0124 0026 0855 0008 -1918Banco Randon SA N 0120 0024 0327 0114 0785 0005 -4153Parana Banco SA N 0048 0026 0106 0020 0786 0008 -2732Banco Triangulo SA N 0055 0027 0111 0022 0834 0004 -4227Banco Guanabara SA N 0052 0024 0153 0024 0779 0004 -5589Banco Cedula SA N 0069 0012 0339 0062 0734 0003 -10232Banco Cacique SA N 0076 0027 0246 0076 0785 0016 -1317Banco Luso Brasileiro SA N 0067 0027 0207 0047 0852 0004 -3379Banco Pecunia SA N 0046 0038 0054 0006 0773 0003 -71Banco Zogbi SA N 0047 0037 0061 0010 0778 0001 -14931Banco Daycoval SA N 0054 0022 0126 0026 0782 0004 -5661Banco John Deere SA N 0056 0018 0129 0031 0756 0003 -8043Banco AJ Renner SA N 0053 0025 0080 0015 0829 0006 -2716ABN Amro F 0053 0038 0074 0012 0908 0002 -4751Chase F 0067 0014 0225 0047 0792 0008 -2693LLoyds F 0049 0025 0064 0012 0824 0003 -5227BankBoston F 0054 0037 0096 0020 0899 0006 -1701Santander Brasil F 0057 0033 0103 0019 0884 0008 -1511Citibank F 0059 0026 0154 0028 0871 0003 -4204BNL F 0052 0037 0097 0020 0840 0006 -28Sudameris F 0052 0045 0058 0005 0962 0011 -334Societe Generale F 0060 0023 0151 0031 0827 0006 -2924Europeu F 0050 0032 0066 0012 0849 0007 -2263ABC-Brasil F 0051 0025 0079 0014 0814 0003 -617Dresdner F 0080 0017 0276 0073 0816 0005 -3374AGF Braseg F 0050 0031 0093 0015 0796 0004 -4812HSBC F 0057 0043 0093 0011 0966 0006 -541Deutsche F 0066 0013 0155 0035 0858 0004 -3244BNP Paribas F 0050 0035 0067 0008 0822 0005 -3775Barclays F 0056 0024 0113 0025 0778 0007 -305Rabobank Int Brasil SA F 0057 0021 0163 0027 0842 0003 -5208B Nat de Paris Brasil SA F 0058 0022 0100 0029 0812 0006 -3343Ibibank SA - Banco Multiplo F 0057 0012 0099 0023 0780 0015 -1478Dresdner Bank - B Multiplo F 0087 0016 0244 0068 0770 0008 -2768Banco Westlb Do Brasil SA F 0063 0034 0106 0026 0841 0010 -1625Banco GE Capital SA F 0064 0032 0247 0046 0853 0010 -1522B Com Uruguai SA F 0073 0019 0191 0049 0833 0003 -50981S - State-owned bank N - National bank and F - Foreign bank

50

Table A11 Estimates of Lerner index and return to scale by bank - Model (6)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0036 0096 0015 0939 0007 -855Banrisul S 0050 0035 0098 0014 0938 0008 -82BEC S 0041 0019 0067 0012 0855 0009 -1644BRB S 0053 0029 0124 0018 0956 0002 -1996BB S 0051 0032 0088 0013 0954 0006 -807Caixa Economica Federal S 0054 0040 0094 0012 1014 0003 475B da Amazonia SA S 0053 0015 0103 0022 0846 0008 -205B do Estado Do Para SA S 0051 0028 0074 0013 0943 0004 -1319B do E Do Maranhao SA S 0041 0031 0059 0008 0950 0014 -346B do E Do Piauı SA - Bep S 0042 0028 0084 0012 0879 0004 -2727B do Estado De Sergipe SA S 0052 0022 0153 0022 0953 0003 -1377Nossa Caixa - N Banco SA S 0047 0032 0081 0014 0969 0004 -74Bradesco N 0052 0032 0097 0019 0898 0004 -2645Itau N 0054 0027 0190 0031 0877 0003 -4452Safra N 0049 0032 0100 0015 0872 0003 -5056Unibanco N 0043 0032 0067 0010 0878 0001 -8666Mercantil Do Brasil N 0053 0026 0087 0017 0938 0002 -3104BBM N 0066 0013 0251 0056 0792 0005 -4556BMC N 0041 0026 0069 0011 0850 0003 -4582BMG N 0067 0016 0228 0057 0781 0003 -6611JMalucelli N 0051 0022 0089 0017 0725 0003 -9344PEBB N 0046 0015 0157 0039 0728 0008 -3313SS N 0058 0025 0230 0046 0801 0007 -292Sofisa N 0053 0020 0119 0025 0809 0002 -8846BIC N 0060 0029 0262 0049 0852 0005 -2697Schahin N 0049 0025 0229 0040 0843 0006 -2523Stock N 0081 0017 0284 0072 0836 0005 -2986Pine N 0049 0021 0112 0019 0812 0004 -5267Socopa N 0050 0026 0095 0015 0900 0003 -3515Intercap N 0055 0021 0196 0035 0828 0006 -2899Indusval N 0061 0029 0262 0049 0863 0005 -2762Bonsucesso N 0052 0019 0123 0026 0791 0005 -3885Industrial do Brasil N 0046 0027 0088 0015 0816 0002 -8698Votorantim N 0051 0027 0139 0027 0813 0007 -262Cacique N 0039 0022 0050 0009 0784 0005 -4707Inter Amex N 0045 0027 0064 0012 0843 0006 -2493Alfa N 0044 0033 0068 0009 0805 0002 -12111Rendimento N 0050 0022 0073 0010 0883 0008 -1543Bancoob N 0066 0055 0072 0007 0856 0003 -4559Original N 0098 0020 0294 0094 0735 0006 -4509Banco Intermedium SA N 0057 0024 0085 0022 0756 0006 -4324

Table A11 ndash Continue on next page

51

Table A11 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0061 0017 0195 0048 0777 0003 -7233Banco BBN SA N 0042 0023 0059 0012 0831 0011 -1529B Cooperativo Sicredi SA N 0048 0035 0066 0009 0879 0005 -2672B Cooperativo do Brasil SA N 0046 0034 0119 0017 0917 0006 -1439Banco Topazio SA N 0070 0031 0129 0036 0853 0005 -2776Banco Gerador SA N 0086 0057 0148 0034 0867 0007 -1825Banco Randon SA N 0126 0028 0331 0114 0799 0005 -4136Parana Banco SA N 0039 0023 0082 0015 0798 0008 -2556Banco Triangulo SA N 0052 0025 0116 0025 0840 0004 -4363Banco Guanabara SA N 0048 0021 0100 0019 0792 0004 -5683Banco Cedula SA N 0067 0013 0356 0067 0749 0002 -10205Banco Cacique SA N 0067 0026 0232 0073 0792 0015 -1356Banco Luso Brasileiro SA N 0065 0025 0237 0052 0864 0004 -3163Banco Pecunia SA N 0037 0029 0045 0006 0786 0003 -7158Banco Zogbi SA N 0037 0027 0045 0007 0785 0002 -13921Banco Daycoval SA N 0053 0020 0120 0031 0787 0003 -6088Banco John Deere SA N 0043 0017 0099 0022 0764 0003 -8346Banco AJ Renner SA N 0050 0025 0080 0013 0840 0006 -2706ABN Amro F 0043 0035 0067 0008 0894 0002 -6685Chase F 0059 0014 0189 0040 0803 0007 -2772LLoyds F 0039 0021 0055 0012 0824 0003 -5536BankBoston F 0044 0029 0075 0015 0890 0006 -1965Santander Brasil F 0054 0028 0107 0024 0871 0008 -1694Citibank F 0054 0023 0133 0026 0863 0003 -4787BNL F 0042 0028 0078 0018 0843 0005 -2998Sudameris F 0041 0036 0052 0006 0948 0010 -491Societe Generale F 0054 0020 0118 0025 0834 0006 -2716Europeu F 0038 0029 0049 0008 0856 0006 -2239ABC-Brasil F 0046 0028 0084 0014 0816 0003 -6111Dresdner F 0063 0015 0239 0061 0823 0005 -3888AGF Braseg F 0047 0027 0074 0014 0807 0004 -4477HSBC F 0054 0032 0109 0018 0950 0006 -823Deutsche F 0058 0013 0122 0028 0863 0004 -305BNP Paribas F 0051 0032 0070 0011 0822 0004 -4145Barclays F 0064 0024 0128 0029 0802 0005 -4051Rabobank Int Brasil SA F 0051 0019 0130 0021 0846 0003 -4992B Nat de Paris Brasil SA F 0043 0019 0070 0019 0819 0005 -3429Ibibank SA - Banco Multiplo F 0049 0010 0083 0020 0785 0013 -161Dresdner Bank - B Multiplo F 0087 0016 0261 0066 0783 0007 -2901Banco Westlb Do Brasil SA F 0051 0030 0082 0019 0850 0009 -1643Banco GE Capital SA F 0053 0028 0239 0044 0859 0009 -1544B Com Uruguai SA F 0071 0017 0217 0054 0845 0003 -48451S - State-owned bank N - National bank and F - Foreign bank

52

Seacuterie de Textos para Discussatildeo do Curso de Ciecircncias Econocircmicas ndash FACEUFG ndash TD [078]

EDITORIAL FACE ndash Faculdade de Administraccedilatildeo Ciecircncias Contaacutebeis e Ciecircncias Econocircmicas Curso de Ciecircncias Econocircmicas Direccedilatildeo FACE Prof Moiseacutes Ferreira da Cunha Vice-Direccedilatildeo FACE Profordf Andreacutea Freire de Lucena Coordenaccedilatildeo do Curso de Ciecircncias Econocircmicas Prof Tiago Camarinha Lopes NEPEC ndash Nuacutecleo de Estudos e Pesquisas Econocircmicas Coordenaccedilatildeo Prof Seacutergio Fornazier Meyrelles Filho SEacuteRIE DE TEXTOS PARA DISCUSSAtildeO DO CURSO DE CIEcircNCIAS ECONOcircMICAS DA UFG Coordenaccedilatildeo e Equipe de Editoraccedilatildeo Prof Sandro Eduardo Monsueto Adriana Moura Guimaratildees Matheus Henrique de Arauacutejo Dutra

Endereccedilo Campus Samambaia Preacutedio da FACE ndash Rodovia GoiacircniaNova Veneza km 0 ndash CEP 74690-900 Goiacircnia ndash GO Tel (62) 3521 ndash 1390 URL httpwwwfaceufgbreconomia Publicaccedilatildeo cujo objetivo eacute divulgar resultados de estudos que contam com a participaccedilatildeo de pesquisadores do NEPEC As opiniotildees contidas nesta publicaccedilatildeo satildeo de inteira responsabilidade do(s) autor(es) natildeo representando necessariamente o ponto de vista do NEPEC ou da FACEUFG Eacute permitida a reproduccedilatildeo desde que citada a fonte

Page 42: 1(3(& )$&( 8)* · The Dark Side of Prudential MeasuresI Paulo R. Scalco a, Benjamin M. Tabak1, Anderson M. Teixeira aFaculty of Management, Accounting and Economics, Federal University

Appendix A Attachment Tables

Table A5 Cumulative change on Prudential Measures intensity

TimeCapitalBuffer 2

(cb)

CapitalReq(cr)

Loan-to-Value(ltv)

Reserve Reqlocal curr

(RR local)

Reserve Reqforeign cur

(RR foreign)

CumulativePrudential 3

(Cum Prud)2000q2 -1 0 0 0 -2 -32000q4 -1 0 0 0 -2 -32001q2 -1 0 0 0 -2 -32001q4 0 0 0 0 -1 -12002q2 0 0 0 0 0 02002q4 2 0 0 0 2 42003q2 0 0 0 0 3 32003q4 0 0 0 0 2 22004q2 0 0 0 0 2 22004q4 0 0 0 0 2 22005q2 0 0 0 0 2 22005q4 0 0 0 0 2 22006q2 0 0 0 0 2 22006q4 0 0 0 0 2 22007q2 2 0 0 0 2 42007q4 2 0 0 0 2 42008q2 2 0 0 0 2 42008q4 2 0 0 0 1 32009q2 2 0 0 0 0 22009q4 2 0 0 0 -1 12010q2 2 0 0 0 1 32010q4 3 0 0 0 3 62011q2 3 0 0 1 3 72011q4 4 0 0 2 3 92012q2 3 1 0 2 3 92012q4 3 1 0 1 2 72013q2 3 2 0 0 2 72013q4 3 2 1 0 2 82014q2 3 2 1 0 2 82014q4 2 2 1 0 3 82Sum of capital buffer and others 3Aggregate measure (It is the sum of the change of all other instrument)

40

Table A6 Estimates of Lerner index and return to scale by bank - Model (1)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0042 0082 0009 0940 0007 -85Banrisul S 0055 0041 0084 0009 0952 0008 -635BEC S 0048 0021 0077 0016 0844 0009 -1756BRB S 0058 0033 0100 0015 0961 0003 -1533BB S 0058 0039 0098 0012 0990 0006 -173Caixa Economica Federal S 0063 0051 0174 0022 1052 0004 1458B da Amazonia SA S 0057 0016 0124 0023 0844 0008 -2028B do Estado Do Para SA S 0061 0026 0110 0022 0936 0004 -1764B do Est do Maranhao SA S 0055 0046 0065 0006 0935 0014 -455B do Est do Piauı SA - Bep S 0057 0030 0155 0029 0862 0004 -326B do Estado De Sergipe SA S 0061 0024 0135 0022 0947 0004 -1453Nossa Caixa - N Banco SA S 0057 0036 0090 0013 0981 0004 -444Bradesco N 0056 0038 0114 0015 0925 0004 -1945Itau N 0059 0031 0220 0033 0901 0003 -3797Safra N 0053 0037 0085 0009 0885 0003 -4215Unibanco N 0055 0037 0088 0014 0897 0001 -7054Mercantil Do Brasil N 0057 0027 0077 0011 0945 0002 -2527BBM N 0076 0016 0300 0065 0783 0005 -4464BMC N 0052 0030 0079 0012 0845 0003 -4703BMG N 0065 0017 0208 0045 0779 0003 -729JMalucelli N 0047 0022 0069 0013 0718 0003 -8765PEBB N 0065 0017 0181 0047 0698 0008 -3914SS N 0057 0034 0220 0037 0799 0007 -2839Sofisa N 0054 0021 0092 0020 0804 0002 -9903BIC N 0060 0034 0236 0040 0855 0005 -276Schahin N 0056 0028 0214 0035 0835 0006 -262Stock N 0081 0020 0267 0067 0817 0006 -3107Pine N 0052 0022 0108 0019 0808 0004 -545Socopa N 0056 0027 0120 0017 0886 0003 -3806Intercap N 0060 0023 0212 0037 0812 0007 -2851Indusval N 0062 0030 0246 0043 0857 0005 -3139Bonsucesso N 0052 0020 0092 0018 0779 0005 -4033Industrial do Brasil N 0051 0031 0081 0016 0807 0002 -952Votorantim N 0052 0037 0107 0017 0819 0009 -2117Cacique N 0053 0024 0071 0014 0774 0005 -4621Inter Amex N 0055 0037 0068 0010 0837 0008 -2158Alfa N 0048 0041 0059 0005 0806 0002 -11303Rendimento N 0053 0022 0080 0012 0872 0008 -1562Bancoob N 0052 0046 0056 0003 0856 0003 -5061Original N 0085 0017 0279 0090 0729 0007 -4163Banco Intermedium SA N 0052 0028 0070 0015 0743 0006 -3973

Table A6 ndash Continue on next page

41

Table A6 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0225 0049 0761 0003 -7509Banco BBN SA N 0053 0027 0077 0014 0817 0012 -1509B Cooperativo Sicredi SA N 0052 0043 0062 0005 0875 0005 -2477B Cooperativo do Brasil SA N 0056 0046 0142 0020 0910 0006 -1479Banco Topazio SA N 0060 0035 0110 0027 0834 0006 -2966Banco Gerador SA N 0069 0045 0122 0028 0852 0008 -1968Banco Randon SA N 0109 0023 0320 0109 0783 0005 -4158Parana Banco SA N 0050 0026 0108 0020 0784 0008 -2799Banco Triangulo SA N 0055 0028 0091 0020 0833 0004 -4201Banco Guanabara SA N 0052 0024 0169 0025 0777 0004 -5588Banco Cedula SA N 0068 0012 0339 0061 0731 0003 -10236Banco Cacique SA N 0077 0028 0248 0077 0785 0016 -1309B Luso Brasileiro SA N 0065 0027 0208 0043 0849 0004 -349Banco Pecunia SA N 0047 0039 0060 0006 0770 0003 -7086Banco Zogbi SA N 0051 0038 0067 0011 0778 0001 -15193Banco Daycoval SA N 0054 0023 0131 0026 0783 0004 -5522B John Deere SA N 0059 0018 0133 0033 0756 0003 -7955Banco AJ Renner SA N 0053 0025 0081 0015 0827 0006 -2742ABN Amro F 0056 0039 0079 0014 0914 0002 -427Chase F 0068 0014 0228 0049 0790 0008 -2678LLoyds F 0053 0027 0064 0012 0825 0003 -5159BankBoston F 0057 0040 0099 0020 0902 0006 -1638Santander Brasil F 0057 0034 0097 0017 0890 0008 -146Citibank F 0059 0026 0153 0028 0875 0003 -4039BNL F 0055 0041 0097 0019 0840 0006 -2767Sudameris F 0056 0048 0065 0005 0966 0012 -297Societe Generale F 0060 0024 0153 0031 0826 0006 -299Europeu F 0054 0032 0073 0013 0848 0007 -2287ABC-Brasil F 0052 0025 0082 0014 0815 0003 -6207Dresdner F 0083 0017 0280 0074 0815 0006 -3234AGF Braseg F 0051 0031 0100 0016 0794 0004 -4923HSBC F 0057 0046 0092 0010 0971 0006 -466Deutsche F 0068 0013 0160 0036 0857 0004 -3335BNP Paribas F 0050 0037 0068 0007 0824 0005 -3665Barclays F 0052 0024 0089 0021 0771 0008 -2787Rabobank Int Brasil SA F 0058 0022 0166 0028 0842 0003 -5284B Nat de Paris Br SA F 0063 0023 0109 0033 0811 0006 -3331Ibibank SA - Banco Multiplo F 0059 0012 0106 0024 0781 0015 -1441Dresdner Bank - B Multiplo F 0086 0016 0244 0068 0768 0008 -2746Banco Westlb Do Brasil SA F 0064 0034 0108 0027 0839 0010 -1626Banco GE Capital SA F 0067 0032 0247 0047 0852 0010 -1527B Com Uruguai SA F 0072 0020 0192 0049 0830 0003 -52281S - State-owned bank N - National bank and F - Foreign bank

42

Table A7 Estimates of Lerner index and return to scale by bank - Model (2)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0049 0032 0085 0016 0944 0008 -716Banrisul S 0049 0032 0106 0017 0939 0008 -75BEC S 0032 0016 0046 0008 0860 0009 -1489BRB S 0049 0030 0112 0017 0961 0002 -1681BB S 0049 0032 0091 0016 0948 0006 -845Caixa Economica Federal S 0052 0034 0081 0014 1012 0003 382B da Amazonia SA S 0053 0015 0140 0028 0847 0008 -1922B do Estado Do Para SA S 0046 0029 0063 0009 0952 0005 -963B do Est do Maranhao SA S 0036 0029 0045 0005 0963 0016 -235B do Est do Piauı SA - Bep S 0036 0023 0071 0011 0888 0005 -2314B do Estado De Sergipe SA S 0050 0020 0155 0024 0962 0004 -1043Nossa Caixa - N Banco SA S 0039 0027 0074 0011 0972 0005 -601Bradesco N 0050 0028 0116 0023 0890 0004 -2618Itau N 0052 0024 0222 0037 0869 0003 -4269Safra N 0046 0028 0100 0017 0867 0003 -5042Unibanco N 0035 0028 0054 0007 0873 0001 -8511Mercantil Do Brasil N 0051 0029 0093 0019 0941 0002 -2837BBM N 0063 0012 0213 0048 0790 0005 -4494BMC N 0034 0023 0049 0007 0851 0003 -4266BMG N 0065 0015 0233 0057 0776 0004 -6135JMalucelli N 0052 0018 0080 0016 0720 0003 -9566PEBB N 0037 0014 0108 0025 0732 0009 -3086SS N 0056 0024 0236 0046 0797 0007 -2849Sofisa N 0052 0018 0107 0028 0808 0002 -8115BIC N 0057 0026 0259 0050 0850 0006 -2531Schahin N 0047 0022 0225 0041 0845 0007 -2359Stock N 0078 0017 0287 0071 0843 0006 -2782Pine N 0048 0018 0114 0023 0811 0004 -4973Socopa N 0050 0022 0136 0024 0908 0003 -3089Intercap N 0051 0019 0133 0031 0832 0006 -2759Indusval N 0061 0023 0267 0052 0866 0006 -2437Bonsucesso N 0050 0017 0109 0026 0791 0006 -3655Industrial do Brasil N 0044 0024 0079 0015 0816 0002 -8095Votorantim N 0048 0025 0120 0026 0807 0007 -2721Cacique N 0033 0020 0039 0006 0782 0005 -4597Inter Amex N 0035 0025 0045 0007 0844 0006 -2419Alfa N 0042 0029 0069 0013 0801 0002 -12139Rendimento N 0049 0019 0077 0015 0889 0008 -1394Bancoob N 0065 0057 0073 0006 0855 0003 -4199Original N 0099 0019 0299 0096 0732 0006 -4473Banco Intermedium SA N 0062 0032 0081 0019 0754 0006 -4393

Table A7 ndash Continue on next page

43

Table A7 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0059 0016 0239 0051 0778 0003 -6944Banco BBN SA N 0035 0020 0053 0009 0834 0011 -1466B Cooperativo Sicredi SA N 0045 0032 0070 0011 0881 0005 -2581B Cooperativo do Brasil SA N 0045 0029 0147 0025 0922 0006 -1274Banco Topazio SA N 0076 0043 0138 0038 0861 0005 -2569Banco Gerador SA N 0089 0054 0153 0037 0874 0008 -1645Banco Randon SA N 0122 0029 0335 0113 0803 0005 -388Parana Banco SA N 0033 0020 0062 0011 0800 0009 -234Banco Triangulo SA N 0052 0022 0105 0027 0841 0004 -4148Banco Guanabara SA N 0046 0019 0091 0020 0793 0004 -5561Banco Cedula SA N 0062 0011 0359 0067 0749 0003 -9911Banco Cacique SA N 0049 0020 0157 0048 0791 0016 -1315Banco Luso Brasileiro SA N 0066 0022 0241 0055 0870 0005 -2851Banco Pecunia SA N 0032 0027 0036 0003 0787 0003 -6876Banco Zogbi SA N 0032 0026 0037 0005 0784 0002 -13006Banco Daycoval SA N 0053 0019 0139 0036 0784 0004 -6065Banco John Deere SA N 0035 0016 0073 0016 0761 0003 -8278Banco AJ Renner SA N 0047 0021 0083 0015 0844 0006 -2553ABN Amro F 0035 0027 0047 0006 0889 0002 -7231Chase F 0054 0013 0157 0033 0804 0007 -2702LLoyds F 0033 0020 0043 0008 0821 0003 -5429BankBoston F 0036 0026 0060 0011 0888 0006 -1917Santander Brasil F 0055 0025 0115 0030 0864 0008 -1647Citibank F 0051 0020 0132 0025 0860 0003 -4735BNL F 0036 0026 0062 0012 0843 0005 -2959Sudameris F 0036 0031 0040 0004 0949 0011 -468Societe Generale F 0051 0018 0104 0024 0835 0007 -2454Europeu F 0034 0025 0041 0006 0859 0007 -2076ABC-Brasil F 0043 0026 0086 0015 0813 0003 -5797Dresdner F 0050 0014 0190 0046 0824 0004 -3975AGF Braseg F 0044 0024 0068 0014 0810 0005 -4109HSBC F 0052 0031 0110 0021 0948 0007 -776Deutsche F 0054 0012 0166 0030 0866 0005 -2754BNP Paribas F 0049 0028 0073 0013 0818 0004 -4092Barclays F 0065 0028 0121 0027 0811 0005 -4028Rabobank Int Brasil SA F 0047 0017 0102 0017 0845 0003 -4605B Nat de Paris Brasil SA F 0036 0017 0054 0013 0819 0005 -3304Ibibank SA - Banco Multiplo F 0043 0010 0114 0025 0782 0013 -1623Dresdner Bank - B Multiplo F 0096 0015 0270 0076 0785 0007 -2924Banco Westlb Do Brasil SA F 0041 0026 0062 0013 0853 0010 -154Banco GE Capital SA F 0054 0026 0253 0049 0862 0010 -1444B Com Uruguai SA F 0070 0017 0220 0058 0849 0003 -4471S - State-owned bank N - National bank and F - Foreign bank

44

Table A8 Estimates of Lerner index and return to scale by bank - Model (3)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0034 0090 0016 0941 0008 -772Banrisul S 0051 0032 0108 0016 0938 0008 -772BEC S 0035 0018 0051 0009 0856 0009 -1562BRB S 0052 0032 0122 0018 0958 0002 -1793BB S 0052 0035 0085 0015 0951 0006 -809Caixa Economica Federal S 0054 0039 0098 0014 1015 0003 465B da Amazonia SA S 0053 0014 0113 0024 0845 0008 -1977B do Estado Do Para SA S 0049 0028 0071 0010 0947 0005 -1117B do E do Maranhao SA S 0041 0032 0059 0008 0957 0015 -285B do E do Piauı SA - Bep S 0041 0028 0086 0014 0882 0005 -2518B do Estado De Sergipe SA S 0052 0021 0145 0022 0957 0004 -1182Nossa Caixa - N Banco SA S 0045 0029 0081 0015 0971 0005 -651Bradesco N 0052 0029 0101 0021 0893 0004 -2614Itau N 0054 0025 0203 0034 0872 0003 -4328Safra N 0048 0029 0093 0015 0869 0003 -5008Unibanco N 0041 0028 0067 0010 0874 0001 -8514Mercantil Do Brasil N 0053 0026 0095 0018 0939 0002 -29BBM N 0067 0013 0250 0056 0789 0005 -4501BMC N 0038 0024 0069 0010 0849 0003 -4408BMG N 0067 0015 0233 0058 0776 0004 -6374JMalucelli N 0052 0022 0087 0016 0720 0003 -9426PEBB N 0045 0014 0158 0040 0727 0009 -3192SS N 0057 0025 0231 0046 0797 0007 -287Sofisa N 0053 0018 0116 0026 0807 0002 -8444BIC N 0059 0030 0250 0049 0850 0006 -2596Schahin N 0048 0023 0220 0038 0842 0007 -2424Stock N 0083 0017 0304 0077 0838 0006 -2873Pine N 0049 0019 0105 0020 0810 0004 -5103Socopa N 0050 0026 0111 0018 0903 0003 -3253Intercap N 0055 0020 0196 0036 0828 0006 -283Indusval N 0062 0029 0282 0052 0863 0005 -2588Bonsucesso N 0051 0017 0118 0025 0789 0006 -3771Industrial do Brasil N 0046 0025 0086 0015 0815 0002 -8341Votorantim N 0050 0027 0128 0027 0809 0007 -2664Cacique N 0037 0020 0048 0009 0781 0005 -4645Inter Amex N 0039 0026 0058 0009 0842 0006 -2468Alfa N 0044 0031 0072 0011 0801 0002 -11998Rendimento N 0049 0022 0078 0011 0885 0008 -1463Bancoob N 0066 0057 0077 0007 0854 0003 -4342Original N 0102 0019 0301 0096 0730 0006 -4526Banco Intermedium SA N 0059 0027 0083 0020 0752 0006 -4354

Table A8 ndash Continue on next page

45

Table A8 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0017 0217 0054 0776 0003 -7084Banco BBN SA N 0038 0022 0058 0010 0831 0011 -1492B Cooperativo Sicredi SA N 0047 0035 0071 0010 0879 0005 -259B Cooperativo do Brasil SA N 0046 0035 0128 0020 0919 0006 -1339Banco Topazio SA N 0075 0036 0153 0041 0855 0005 -2657Banco Gerador SA N 0091 0057 0144 0034 0869 0008 -173Banco Randon SA N 0124 0029 0332 0112 0799 0005 -4023Parana Banco SA N 0036 0021 0071 0012 0797 0008 -2452Banco Triangulo SA N 0053 0023 0115 0027 0839 0004 -4256Banco Guanabara SA N 0047 0020 0100 0019 0790 0004 -561Banco Cedula SA N 0066 0012 0362 0068 0747 0003 -10082Banco Cacique SA N 0063 0026 0231 0074 0789 0016 -1336Banco Luso Brasileiro SA N 0066 0026 0249 0053 0865 0005 -2985Banco Pecunia SA N 0034 0029 0041 0004 0784 0003 -7038Banco Zogbi SA N 0036 0027 0046 0006 0782 0002 -13399Banco Daycoval SA N 0054 0019 0131 0034 0784 0004 -607Banco John Deere SA N 0039 0015 0083 0018 0761 0003 -8316Banco AJ Renner SA N 0049 0024 0073 0013 0840 0006 -2621ABN Amro F 0041 0030 0066 0009 0890 0002 -6866Chase F 0059 0013 0173 0039 0801 0007 -2733LLoyds F 0038 0021 0055 0010 0821 0003 -5484BankBoston F 0040 0028 0063 0012 0888 0006 -1931Santander Brasil F 0056 0028 0107 0027 0866 0008 -1663Citibank F 0052 0022 0123 0023 0860 0003 -4735BNL F 0039 0028 0063 0014 0841 0005 -2966Sudameris F 0041 0036 0052 0006 0948 0011 -473Societe Generale F 0052 0020 0103 0022 0833 0006 -2579Europeu F 0038 0030 0049 0007 0856 0007 -2153ABC-Brasil F 0046 0029 0079 0014 0813 0003 -5935Dresdner F 0055 0014 0212 0052 0822 0005 -3913AGF Braseg F 0046 0027 0071 0014 0806 0005 -4276HSBC F 0053 0032 0101 0019 0949 0007 -784Deutsche F 0058 0013 0141 0029 0863 0005 -2878BNP Paribas F 0051 0030 0074 0012 0818 0004 -4118Barclays F 0066 0025 0130 0030 0805 0005 -4123Rabobank Int Brasil SA F 0049 0019 0109 0018 0844 0003 -4752B Nat de Paris Brasil SA F 0041 0019 0069 0018 0817 0005 -3368Ibibank SA - Banco Multiplo F 0046 0010 0095 0021 0781 0014 -1617Dresdner Bank - B Multiplo F 0093 0017 0282 0072 0782 0008 -2899Banco Westlb Do Brasil SA F 0044 0027 0069 0015 0850 0009 -1591Banco GE Capital SA F 0055 0026 0249 0046 0859 0009 -1489B Com Uruguai SA F 0071 0017 0228 0056 0845 0003 -46241S - State-owned bank N - National bank and F - Foreign bank

46

Table A9 Estimates of Lerner index and return to scale by bank - Model (4)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0054 0041 0078 0011 0939 0007 -873Banrisul S 0055 0040 0106 0014 0948 0008 -692BEC S 0046 0020 0072 0014 0846 0009 -1746BRB S 0057 0032 0094 0016 0959 0002 -1673BB S 0057 0038 0095 0014 0981 0006 -33Caixa Economica Federal S 0061 0049 0165 0021 1042 0003 1249B da Amazonia SA S 0056 0015 0117 0022 0844 0008 -2047B do Estado Do Para SA S 0059 0025 0103 0020 0936 0004 -1701B do E Do Maranhao SA S 0052 0044 0062 0005 0936 0014 -448B do E Do Piauı SA - Bep S 0054 0029 0147 0028 0865 0004 -3201B do Estado De Sergipe SA S 0061 0023 0168 0026 0947 0004 -1484Nossa Caixa - N Banco SA S 0054 0035 0085 0012 0977 0004 -547Bradesco N 0056 0036 0107 0017 0919 0004 -2123Itau N 0058 0030 0212 0032 0896 0003 -3979Safra N 0052 0035 0107 0013 0882 0003 -445Unibanco N 0052 0035 0082 0013 0892 0001 -7446Mercantil Do Brasil N 0057 0027 0093 0015 0942 0002 -2687BBM N 0075 0015 0294 0064 0784 0005 -4512BMC N 0050 0029 0074 0011 0846 0003 -472BMG N 0065 0016 0202 0047 0779 0003 -7192JMalucelli N 0048 0022 0071 0014 0720 0003 -8923PEBB N 0061 0016 0172 0044 0704 0008 -382SS N 0056 0033 0213 0037 0799 0007 -2875Sofisa N 0053 0020 0087 0019 0805 0002 -9731BIC N 0061 0033 0269 0048 0854 0005 -2768Schahin N 0053 0027 0205 0034 0836 0006 -2627Stock N 0081 0020 0265 0068 0820 0006 -3122Pine N 0052 0022 0118 0021 0808 0004 -5467Socopa N 0054 0026 0114 0016 0888 0003 -3785Intercap N 0057 0023 0203 0035 0815 0006 -2877Indusval N 0062 0029 0239 0043 0857 0005 -3085Bonsucesso N 0052 0019 0088 0018 0782 0005 -403Industrial do Brasil N 0050 0030 0076 0015 0809 0002 -9427Votorantim N 0051 0036 0102 0017 0817 0008 -2222Cacique N 0050 0023 0067 0013 0776 0005 -4659Inter Amex N 0052 0035 0064 0009 0837 0007 -2226Alfa N 0048 0039 0071 0007 0805 0002 -11484Rendimento N 0052 0022 0076 0013 0874 0008 -1571Bancoob N 0057 0045 0071 0011 0855 0003 -5022Original N 0094 0017 0278 0090 0730 0006 -4242Banco Intermedium SA N 0049 0027 0065 0014 0746 0006 -4054

Table A9 ndash Continue on next page

47

Table A9 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0019 0220 0050 0764 0003 -7516Banco BBN SA N 0050 0027 0072 0013 0819 0012 -1529B Cooperativo Sicredi SA N 0051 0041 0068 0006 0875 0005 -2551B Cooperativo do Brasil SA N 0053 0044 0134 0018 0910 0006 -151Banco Topazio SA N 0066 0035 0128 0036 0837 0005 -2981Banco Gerador SA N 0082 0045 0157 0043 0854 0007 -1967Banco Randon SA N 0106 0026 0312 0105 0786 0005 -4204Parana Banco SA N 0048 0025 0102 0018 0787 0008 -2768Banco Triangulo SA N 0054 0027 0088 0021 0834 0004 -427Banco Guanabara SA N 0051 0023 0161 0025 0780 0004 -5659Banco Cedula SA N 0069 0012 0360 0065 0735 0003 -1028Banco Cacique SA N 0073 0027 0240 0075 0786 0016 -1327Banco Luso Brasileiro SA N 0065 0026 0242 0047 0852 0004 -346Banco Pecunia SA N 0045 0037 0056 0006 0773 0003 -7139Banco Zogbi SA N 0048 0036 0064 0010 0779 0001 -15057Banco Daycoval SA N 0055 0022 0126 0030 0784 0004 -568Banco John Deere SA N 0056 0018 0125 0031 0757 0003 -8084Banco AJ Renner SA N 0051 0025 0077 0013 0829 0006 -2763ABN Amro F 0053 0038 0074 0013 0909 0002 -4803Chase F 0066 0014 0220 0046 0793 0008 -2711LLoyds F 0050 0026 0060 0011 0825 0003 -5323BankBoston F 0054 0038 0092 0018 0899 0006 -1734Santander Brasil F 0056 0033 0098 0019 0885 0007 -1529Citibank F 0059 0025 0145 0030 0872 0003 -421BNL F 0052 0039 0091 0018 0840 0006 -2854Sudameris F 0053 0046 0062 0005 0961 0011 -352Societe Generale F 0058 0023 0144 0028 0827 0006 -2968Europeu F 0052 0031 0069 0012 0849 0007 -23ABC-Brasil F 0051 0028 0091 0015 0815 0003 -6225Dresdner F 0078 0017 0271 0071 0816 0005 -339AGF Braseg F 0050 0030 0094 0015 0797 0004 -4873HSBC F 0057 0045 0116 0016 0966 0006 -562Deutsche F 0066 0013 0151 0034 0858 0004 -3316BNP Paribas F 0050 0036 0071 0010 0823 0005 -3772Barclays F 0057 0024 0102 0025 0777 0007 -3003Rabobank Int Brasil SA F 0057 0021 0157 0026 0842 0003 -5266B Nat de Paris Brasil SA F 0059 0023 0102 0030 0812 0006 -3387Ibibank SA - Banco Multiplo F 0056 0012 0100 0023 0781 0015 -148Dresdner Bank - B Multiplo F 0084 0016 0237 0064 0771 0008 -2798Banco Westlb Do Brasil SA F 0061 0033 0101 0025 0841 0010 -1646Banco GE Capital SA F 0063 0031 0238 0044 0853 0010 -1548B Com Uruguai SA F 0074 0020 0226 0056 0833 0003 -51921S - State-owned bank N - National bank and F - Foreign bank

48

Table A10 Estimates of Lerner index and return to scale by bank - Model (5)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0043 0093 0012 0940 0007 -834Banrisul S 0054 0041 0083 0009 0949 0008 -668BEC S 0046 0020 0075 0014 0846 0009 -1719BRB S 0058 0032 0121 0017 0960 0002 -1607BB S 0056 0037 0087 0010 0981 0006 -321Caixa Economica Federal S 0061 0050 0156 0019 1044 0003 1282B da Amazonia SA S 0057 0016 0115 0023 0843 0008 -2023B do Estado Do Para SA S 0059 0027 0102 0020 0938 0004 -1608B do E Do Maranhao SA S 0052 0042 0064 0006 0939 0015 -418B do E Do Piauı SA - Bep S 0054 0029 0138 0025 0866 0004 -3097B do Estado De Sergipe SA S 0059 0024 0136 0020 0949 0004 -1404Nossa Caixa - N Banco SA S 0055 0036 0088 0013 0979 0004 -494Bradesco N 0056 0037 0108 0016 0918 0004 -2108Itau N 0058 0031 0213 0033 0894 0003 -3968Safra N 0052 0036 0086 0010 0881 0003 -4388Unibanco N 0053 0037 0085 0013 0892 0001 -7433Mercantil Do Brasil N 0057 0027 0086 0012 0943 0002 -2619BBM N 0075 0015 0292 0063 0784 0005 -447BMC N 0050 0029 0077 0012 0846 0003 -4648BMG N 0067 0017 0220 0051 0777 0003 -7116JMalucelli N 0049 0022 0083 0016 0718 0003 -8879PEBB N 0060 0017 0176 0044 0704 0008 -3743SS N 0059 0032 0223 0041 0798 0007 -2847Sofisa N 0055 0021 0112 0022 0804 0002 -9624BIC N 0060 0032 0238 0041 0853 0005 -2725Schahin N 0055 0028 0228 0038 0836 0006 -2575Stock N 0082 0019 0267 0068 0821 0006 -3063Pine N 0052 0022 0096 0018 0808 0004 -5392Socopa N 0055 0027 0113 0016 0889 0003 -3694Intercap N 0060 0023 0210 0037 0814 0006 -2856Indusval N 0062 0029 0245 0044 0857 0005 -3023Bonsucesso N 0053 0020 0113 0022 0781 0005 -3999Industrial do Brasil N 0051 0030 0084 0016 0808 0002 -9274Votorantim N 0052 0037 0130 0022 0816 0008 -2227Cacique N 0049 0024 0065 0012 0775 0005 -4632Inter Amex N 0052 0034 0067 0011 0837 0007 -2236Alfa N 0047 0041 0056 0004 0804 0002 -11448Rendimento N 0053 0022 0079 0011 0874 0008 -1549Bancoob N 0056 0050 0064 0005 0856 0003 -4874Original N 0087 0018 0288 0093 0728 0006 -4259Banco Intermedium SA N 0055 0027 0078 0019 0744 0006 -4047

Table A10 ndash Continue on next page

49

Table A10 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0217 0048 0763 0003 -7417Banco BBN SA N 0051 0026 0075 0014 0820 0012 -1504B Cooperativo Sicredi SA N 0051 0040 0061 0005 0876 0005 -2499B Cooperativo do Brasil SA N 0054 0043 0136 0019 0912 0006 -1445Banco Topazio SA N 0061 0034 0109 0026 0838 0006 -2897Banco Gerador SA N 0073 0052 0124 0026 0855 0008 -1918Banco Randon SA N 0120 0024 0327 0114 0785 0005 -4153Parana Banco SA N 0048 0026 0106 0020 0786 0008 -2732Banco Triangulo SA N 0055 0027 0111 0022 0834 0004 -4227Banco Guanabara SA N 0052 0024 0153 0024 0779 0004 -5589Banco Cedula SA N 0069 0012 0339 0062 0734 0003 -10232Banco Cacique SA N 0076 0027 0246 0076 0785 0016 -1317Banco Luso Brasileiro SA N 0067 0027 0207 0047 0852 0004 -3379Banco Pecunia SA N 0046 0038 0054 0006 0773 0003 -71Banco Zogbi SA N 0047 0037 0061 0010 0778 0001 -14931Banco Daycoval SA N 0054 0022 0126 0026 0782 0004 -5661Banco John Deere SA N 0056 0018 0129 0031 0756 0003 -8043Banco AJ Renner SA N 0053 0025 0080 0015 0829 0006 -2716ABN Amro F 0053 0038 0074 0012 0908 0002 -4751Chase F 0067 0014 0225 0047 0792 0008 -2693LLoyds F 0049 0025 0064 0012 0824 0003 -5227BankBoston F 0054 0037 0096 0020 0899 0006 -1701Santander Brasil F 0057 0033 0103 0019 0884 0008 -1511Citibank F 0059 0026 0154 0028 0871 0003 -4204BNL F 0052 0037 0097 0020 0840 0006 -28Sudameris F 0052 0045 0058 0005 0962 0011 -334Societe Generale F 0060 0023 0151 0031 0827 0006 -2924Europeu F 0050 0032 0066 0012 0849 0007 -2263ABC-Brasil F 0051 0025 0079 0014 0814 0003 -617Dresdner F 0080 0017 0276 0073 0816 0005 -3374AGF Braseg F 0050 0031 0093 0015 0796 0004 -4812HSBC F 0057 0043 0093 0011 0966 0006 -541Deutsche F 0066 0013 0155 0035 0858 0004 -3244BNP Paribas F 0050 0035 0067 0008 0822 0005 -3775Barclays F 0056 0024 0113 0025 0778 0007 -305Rabobank Int Brasil SA F 0057 0021 0163 0027 0842 0003 -5208B Nat de Paris Brasil SA F 0058 0022 0100 0029 0812 0006 -3343Ibibank SA - Banco Multiplo F 0057 0012 0099 0023 0780 0015 -1478Dresdner Bank - B Multiplo F 0087 0016 0244 0068 0770 0008 -2768Banco Westlb Do Brasil SA F 0063 0034 0106 0026 0841 0010 -1625Banco GE Capital SA F 0064 0032 0247 0046 0853 0010 -1522B Com Uruguai SA F 0073 0019 0191 0049 0833 0003 -50981S - State-owned bank N - National bank and F - Foreign bank

50

Table A11 Estimates of Lerner index and return to scale by bank - Model (6)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0036 0096 0015 0939 0007 -855Banrisul S 0050 0035 0098 0014 0938 0008 -82BEC S 0041 0019 0067 0012 0855 0009 -1644BRB S 0053 0029 0124 0018 0956 0002 -1996BB S 0051 0032 0088 0013 0954 0006 -807Caixa Economica Federal S 0054 0040 0094 0012 1014 0003 475B da Amazonia SA S 0053 0015 0103 0022 0846 0008 -205B do Estado Do Para SA S 0051 0028 0074 0013 0943 0004 -1319B do E Do Maranhao SA S 0041 0031 0059 0008 0950 0014 -346B do E Do Piauı SA - Bep S 0042 0028 0084 0012 0879 0004 -2727B do Estado De Sergipe SA S 0052 0022 0153 0022 0953 0003 -1377Nossa Caixa - N Banco SA S 0047 0032 0081 0014 0969 0004 -74Bradesco N 0052 0032 0097 0019 0898 0004 -2645Itau N 0054 0027 0190 0031 0877 0003 -4452Safra N 0049 0032 0100 0015 0872 0003 -5056Unibanco N 0043 0032 0067 0010 0878 0001 -8666Mercantil Do Brasil N 0053 0026 0087 0017 0938 0002 -3104BBM N 0066 0013 0251 0056 0792 0005 -4556BMC N 0041 0026 0069 0011 0850 0003 -4582BMG N 0067 0016 0228 0057 0781 0003 -6611JMalucelli N 0051 0022 0089 0017 0725 0003 -9344PEBB N 0046 0015 0157 0039 0728 0008 -3313SS N 0058 0025 0230 0046 0801 0007 -292Sofisa N 0053 0020 0119 0025 0809 0002 -8846BIC N 0060 0029 0262 0049 0852 0005 -2697Schahin N 0049 0025 0229 0040 0843 0006 -2523Stock N 0081 0017 0284 0072 0836 0005 -2986Pine N 0049 0021 0112 0019 0812 0004 -5267Socopa N 0050 0026 0095 0015 0900 0003 -3515Intercap N 0055 0021 0196 0035 0828 0006 -2899Indusval N 0061 0029 0262 0049 0863 0005 -2762Bonsucesso N 0052 0019 0123 0026 0791 0005 -3885Industrial do Brasil N 0046 0027 0088 0015 0816 0002 -8698Votorantim N 0051 0027 0139 0027 0813 0007 -262Cacique N 0039 0022 0050 0009 0784 0005 -4707Inter Amex N 0045 0027 0064 0012 0843 0006 -2493Alfa N 0044 0033 0068 0009 0805 0002 -12111Rendimento N 0050 0022 0073 0010 0883 0008 -1543Bancoob N 0066 0055 0072 0007 0856 0003 -4559Original N 0098 0020 0294 0094 0735 0006 -4509Banco Intermedium SA N 0057 0024 0085 0022 0756 0006 -4324

Table A11 ndash Continue on next page

51

Table A11 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0061 0017 0195 0048 0777 0003 -7233Banco BBN SA N 0042 0023 0059 0012 0831 0011 -1529B Cooperativo Sicredi SA N 0048 0035 0066 0009 0879 0005 -2672B Cooperativo do Brasil SA N 0046 0034 0119 0017 0917 0006 -1439Banco Topazio SA N 0070 0031 0129 0036 0853 0005 -2776Banco Gerador SA N 0086 0057 0148 0034 0867 0007 -1825Banco Randon SA N 0126 0028 0331 0114 0799 0005 -4136Parana Banco SA N 0039 0023 0082 0015 0798 0008 -2556Banco Triangulo SA N 0052 0025 0116 0025 0840 0004 -4363Banco Guanabara SA N 0048 0021 0100 0019 0792 0004 -5683Banco Cedula SA N 0067 0013 0356 0067 0749 0002 -10205Banco Cacique SA N 0067 0026 0232 0073 0792 0015 -1356Banco Luso Brasileiro SA N 0065 0025 0237 0052 0864 0004 -3163Banco Pecunia SA N 0037 0029 0045 0006 0786 0003 -7158Banco Zogbi SA N 0037 0027 0045 0007 0785 0002 -13921Banco Daycoval SA N 0053 0020 0120 0031 0787 0003 -6088Banco John Deere SA N 0043 0017 0099 0022 0764 0003 -8346Banco AJ Renner SA N 0050 0025 0080 0013 0840 0006 -2706ABN Amro F 0043 0035 0067 0008 0894 0002 -6685Chase F 0059 0014 0189 0040 0803 0007 -2772LLoyds F 0039 0021 0055 0012 0824 0003 -5536BankBoston F 0044 0029 0075 0015 0890 0006 -1965Santander Brasil F 0054 0028 0107 0024 0871 0008 -1694Citibank F 0054 0023 0133 0026 0863 0003 -4787BNL F 0042 0028 0078 0018 0843 0005 -2998Sudameris F 0041 0036 0052 0006 0948 0010 -491Societe Generale F 0054 0020 0118 0025 0834 0006 -2716Europeu F 0038 0029 0049 0008 0856 0006 -2239ABC-Brasil F 0046 0028 0084 0014 0816 0003 -6111Dresdner F 0063 0015 0239 0061 0823 0005 -3888AGF Braseg F 0047 0027 0074 0014 0807 0004 -4477HSBC F 0054 0032 0109 0018 0950 0006 -823Deutsche F 0058 0013 0122 0028 0863 0004 -305BNP Paribas F 0051 0032 0070 0011 0822 0004 -4145Barclays F 0064 0024 0128 0029 0802 0005 -4051Rabobank Int Brasil SA F 0051 0019 0130 0021 0846 0003 -4992B Nat de Paris Brasil SA F 0043 0019 0070 0019 0819 0005 -3429Ibibank SA - Banco Multiplo F 0049 0010 0083 0020 0785 0013 -161Dresdner Bank - B Multiplo F 0087 0016 0261 0066 0783 0007 -2901Banco Westlb Do Brasil SA F 0051 0030 0082 0019 0850 0009 -1643Banco GE Capital SA F 0053 0028 0239 0044 0859 0009 -1544B Com Uruguai SA F 0071 0017 0217 0054 0845 0003 -48451S - State-owned bank N - National bank and F - Foreign bank

52

Seacuterie de Textos para Discussatildeo do Curso de Ciecircncias Econocircmicas ndash FACEUFG ndash TD [078]

EDITORIAL FACE ndash Faculdade de Administraccedilatildeo Ciecircncias Contaacutebeis e Ciecircncias Econocircmicas Curso de Ciecircncias Econocircmicas Direccedilatildeo FACE Prof Moiseacutes Ferreira da Cunha Vice-Direccedilatildeo FACE Profordf Andreacutea Freire de Lucena Coordenaccedilatildeo do Curso de Ciecircncias Econocircmicas Prof Tiago Camarinha Lopes NEPEC ndash Nuacutecleo de Estudos e Pesquisas Econocircmicas Coordenaccedilatildeo Prof Seacutergio Fornazier Meyrelles Filho SEacuteRIE DE TEXTOS PARA DISCUSSAtildeO DO CURSO DE CIEcircNCIAS ECONOcircMICAS DA UFG Coordenaccedilatildeo e Equipe de Editoraccedilatildeo Prof Sandro Eduardo Monsueto Adriana Moura Guimaratildees Matheus Henrique de Arauacutejo Dutra

Endereccedilo Campus Samambaia Preacutedio da FACE ndash Rodovia GoiacircniaNova Veneza km 0 ndash CEP 74690-900 Goiacircnia ndash GO Tel (62) 3521 ndash 1390 URL httpwwwfaceufgbreconomia Publicaccedilatildeo cujo objetivo eacute divulgar resultados de estudos que contam com a participaccedilatildeo de pesquisadores do NEPEC As opiniotildees contidas nesta publicaccedilatildeo satildeo de inteira responsabilidade do(s) autor(es) natildeo representando necessariamente o ponto de vista do NEPEC ou da FACEUFG Eacute permitida a reproduccedilatildeo desde que citada a fonte

Page 43: 1(3(& )$&( 8)* · The Dark Side of Prudential MeasuresI Paulo R. Scalco a, Benjamin M. Tabak1, Anderson M. Teixeira aFaculty of Management, Accounting and Economics, Federal University

Table A6 Estimates of Lerner index and return to scale by bank - Model (1)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0042 0082 0009 0940 0007 -85Banrisul S 0055 0041 0084 0009 0952 0008 -635BEC S 0048 0021 0077 0016 0844 0009 -1756BRB S 0058 0033 0100 0015 0961 0003 -1533BB S 0058 0039 0098 0012 0990 0006 -173Caixa Economica Federal S 0063 0051 0174 0022 1052 0004 1458B da Amazonia SA S 0057 0016 0124 0023 0844 0008 -2028B do Estado Do Para SA S 0061 0026 0110 0022 0936 0004 -1764B do Est do Maranhao SA S 0055 0046 0065 0006 0935 0014 -455B do Est do Piauı SA - Bep S 0057 0030 0155 0029 0862 0004 -326B do Estado De Sergipe SA S 0061 0024 0135 0022 0947 0004 -1453Nossa Caixa - N Banco SA S 0057 0036 0090 0013 0981 0004 -444Bradesco N 0056 0038 0114 0015 0925 0004 -1945Itau N 0059 0031 0220 0033 0901 0003 -3797Safra N 0053 0037 0085 0009 0885 0003 -4215Unibanco N 0055 0037 0088 0014 0897 0001 -7054Mercantil Do Brasil N 0057 0027 0077 0011 0945 0002 -2527BBM N 0076 0016 0300 0065 0783 0005 -4464BMC N 0052 0030 0079 0012 0845 0003 -4703BMG N 0065 0017 0208 0045 0779 0003 -729JMalucelli N 0047 0022 0069 0013 0718 0003 -8765PEBB N 0065 0017 0181 0047 0698 0008 -3914SS N 0057 0034 0220 0037 0799 0007 -2839Sofisa N 0054 0021 0092 0020 0804 0002 -9903BIC N 0060 0034 0236 0040 0855 0005 -276Schahin N 0056 0028 0214 0035 0835 0006 -262Stock N 0081 0020 0267 0067 0817 0006 -3107Pine N 0052 0022 0108 0019 0808 0004 -545Socopa N 0056 0027 0120 0017 0886 0003 -3806Intercap N 0060 0023 0212 0037 0812 0007 -2851Indusval N 0062 0030 0246 0043 0857 0005 -3139Bonsucesso N 0052 0020 0092 0018 0779 0005 -4033Industrial do Brasil N 0051 0031 0081 0016 0807 0002 -952Votorantim N 0052 0037 0107 0017 0819 0009 -2117Cacique N 0053 0024 0071 0014 0774 0005 -4621Inter Amex N 0055 0037 0068 0010 0837 0008 -2158Alfa N 0048 0041 0059 0005 0806 0002 -11303Rendimento N 0053 0022 0080 0012 0872 0008 -1562Bancoob N 0052 0046 0056 0003 0856 0003 -5061Original N 0085 0017 0279 0090 0729 0007 -4163Banco Intermedium SA N 0052 0028 0070 0015 0743 0006 -3973

Table A6 ndash Continue on next page

41

Table A6 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0225 0049 0761 0003 -7509Banco BBN SA N 0053 0027 0077 0014 0817 0012 -1509B Cooperativo Sicredi SA N 0052 0043 0062 0005 0875 0005 -2477B Cooperativo do Brasil SA N 0056 0046 0142 0020 0910 0006 -1479Banco Topazio SA N 0060 0035 0110 0027 0834 0006 -2966Banco Gerador SA N 0069 0045 0122 0028 0852 0008 -1968Banco Randon SA N 0109 0023 0320 0109 0783 0005 -4158Parana Banco SA N 0050 0026 0108 0020 0784 0008 -2799Banco Triangulo SA N 0055 0028 0091 0020 0833 0004 -4201Banco Guanabara SA N 0052 0024 0169 0025 0777 0004 -5588Banco Cedula SA N 0068 0012 0339 0061 0731 0003 -10236Banco Cacique SA N 0077 0028 0248 0077 0785 0016 -1309B Luso Brasileiro SA N 0065 0027 0208 0043 0849 0004 -349Banco Pecunia SA N 0047 0039 0060 0006 0770 0003 -7086Banco Zogbi SA N 0051 0038 0067 0011 0778 0001 -15193Banco Daycoval SA N 0054 0023 0131 0026 0783 0004 -5522B John Deere SA N 0059 0018 0133 0033 0756 0003 -7955Banco AJ Renner SA N 0053 0025 0081 0015 0827 0006 -2742ABN Amro F 0056 0039 0079 0014 0914 0002 -427Chase F 0068 0014 0228 0049 0790 0008 -2678LLoyds F 0053 0027 0064 0012 0825 0003 -5159BankBoston F 0057 0040 0099 0020 0902 0006 -1638Santander Brasil F 0057 0034 0097 0017 0890 0008 -146Citibank F 0059 0026 0153 0028 0875 0003 -4039BNL F 0055 0041 0097 0019 0840 0006 -2767Sudameris F 0056 0048 0065 0005 0966 0012 -297Societe Generale F 0060 0024 0153 0031 0826 0006 -299Europeu F 0054 0032 0073 0013 0848 0007 -2287ABC-Brasil F 0052 0025 0082 0014 0815 0003 -6207Dresdner F 0083 0017 0280 0074 0815 0006 -3234AGF Braseg F 0051 0031 0100 0016 0794 0004 -4923HSBC F 0057 0046 0092 0010 0971 0006 -466Deutsche F 0068 0013 0160 0036 0857 0004 -3335BNP Paribas F 0050 0037 0068 0007 0824 0005 -3665Barclays F 0052 0024 0089 0021 0771 0008 -2787Rabobank Int Brasil SA F 0058 0022 0166 0028 0842 0003 -5284B Nat de Paris Br SA F 0063 0023 0109 0033 0811 0006 -3331Ibibank SA - Banco Multiplo F 0059 0012 0106 0024 0781 0015 -1441Dresdner Bank - B Multiplo F 0086 0016 0244 0068 0768 0008 -2746Banco Westlb Do Brasil SA F 0064 0034 0108 0027 0839 0010 -1626Banco GE Capital SA F 0067 0032 0247 0047 0852 0010 -1527B Com Uruguai SA F 0072 0020 0192 0049 0830 0003 -52281S - State-owned bank N - National bank and F - Foreign bank

42

Table A7 Estimates of Lerner index and return to scale by bank - Model (2)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0049 0032 0085 0016 0944 0008 -716Banrisul S 0049 0032 0106 0017 0939 0008 -75BEC S 0032 0016 0046 0008 0860 0009 -1489BRB S 0049 0030 0112 0017 0961 0002 -1681BB S 0049 0032 0091 0016 0948 0006 -845Caixa Economica Federal S 0052 0034 0081 0014 1012 0003 382B da Amazonia SA S 0053 0015 0140 0028 0847 0008 -1922B do Estado Do Para SA S 0046 0029 0063 0009 0952 0005 -963B do Est do Maranhao SA S 0036 0029 0045 0005 0963 0016 -235B do Est do Piauı SA - Bep S 0036 0023 0071 0011 0888 0005 -2314B do Estado De Sergipe SA S 0050 0020 0155 0024 0962 0004 -1043Nossa Caixa - N Banco SA S 0039 0027 0074 0011 0972 0005 -601Bradesco N 0050 0028 0116 0023 0890 0004 -2618Itau N 0052 0024 0222 0037 0869 0003 -4269Safra N 0046 0028 0100 0017 0867 0003 -5042Unibanco N 0035 0028 0054 0007 0873 0001 -8511Mercantil Do Brasil N 0051 0029 0093 0019 0941 0002 -2837BBM N 0063 0012 0213 0048 0790 0005 -4494BMC N 0034 0023 0049 0007 0851 0003 -4266BMG N 0065 0015 0233 0057 0776 0004 -6135JMalucelli N 0052 0018 0080 0016 0720 0003 -9566PEBB N 0037 0014 0108 0025 0732 0009 -3086SS N 0056 0024 0236 0046 0797 0007 -2849Sofisa N 0052 0018 0107 0028 0808 0002 -8115BIC N 0057 0026 0259 0050 0850 0006 -2531Schahin N 0047 0022 0225 0041 0845 0007 -2359Stock N 0078 0017 0287 0071 0843 0006 -2782Pine N 0048 0018 0114 0023 0811 0004 -4973Socopa N 0050 0022 0136 0024 0908 0003 -3089Intercap N 0051 0019 0133 0031 0832 0006 -2759Indusval N 0061 0023 0267 0052 0866 0006 -2437Bonsucesso N 0050 0017 0109 0026 0791 0006 -3655Industrial do Brasil N 0044 0024 0079 0015 0816 0002 -8095Votorantim N 0048 0025 0120 0026 0807 0007 -2721Cacique N 0033 0020 0039 0006 0782 0005 -4597Inter Amex N 0035 0025 0045 0007 0844 0006 -2419Alfa N 0042 0029 0069 0013 0801 0002 -12139Rendimento N 0049 0019 0077 0015 0889 0008 -1394Bancoob N 0065 0057 0073 0006 0855 0003 -4199Original N 0099 0019 0299 0096 0732 0006 -4473Banco Intermedium SA N 0062 0032 0081 0019 0754 0006 -4393

Table A7 ndash Continue on next page

43

Table A7 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0059 0016 0239 0051 0778 0003 -6944Banco BBN SA N 0035 0020 0053 0009 0834 0011 -1466B Cooperativo Sicredi SA N 0045 0032 0070 0011 0881 0005 -2581B Cooperativo do Brasil SA N 0045 0029 0147 0025 0922 0006 -1274Banco Topazio SA N 0076 0043 0138 0038 0861 0005 -2569Banco Gerador SA N 0089 0054 0153 0037 0874 0008 -1645Banco Randon SA N 0122 0029 0335 0113 0803 0005 -388Parana Banco SA N 0033 0020 0062 0011 0800 0009 -234Banco Triangulo SA N 0052 0022 0105 0027 0841 0004 -4148Banco Guanabara SA N 0046 0019 0091 0020 0793 0004 -5561Banco Cedula SA N 0062 0011 0359 0067 0749 0003 -9911Banco Cacique SA N 0049 0020 0157 0048 0791 0016 -1315Banco Luso Brasileiro SA N 0066 0022 0241 0055 0870 0005 -2851Banco Pecunia SA N 0032 0027 0036 0003 0787 0003 -6876Banco Zogbi SA N 0032 0026 0037 0005 0784 0002 -13006Banco Daycoval SA N 0053 0019 0139 0036 0784 0004 -6065Banco John Deere SA N 0035 0016 0073 0016 0761 0003 -8278Banco AJ Renner SA N 0047 0021 0083 0015 0844 0006 -2553ABN Amro F 0035 0027 0047 0006 0889 0002 -7231Chase F 0054 0013 0157 0033 0804 0007 -2702LLoyds F 0033 0020 0043 0008 0821 0003 -5429BankBoston F 0036 0026 0060 0011 0888 0006 -1917Santander Brasil F 0055 0025 0115 0030 0864 0008 -1647Citibank F 0051 0020 0132 0025 0860 0003 -4735BNL F 0036 0026 0062 0012 0843 0005 -2959Sudameris F 0036 0031 0040 0004 0949 0011 -468Societe Generale F 0051 0018 0104 0024 0835 0007 -2454Europeu F 0034 0025 0041 0006 0859 0007 -2076ABC-Brasil F 0043 0026 0086 0015 0813 0003 -5797Dresdner F 0050 0014 0190 0046 0824 0004 -3975AGF Braseg F 0044 0024 0068 0014 0810 0005 -4109HSBC F 0052 0031 0110 0021 0948 0007 -776Deutsche F 0054 0012 0166 0030 0866 0005 -2754BNP Paribas F 0049 0028 0073 0013 0818 0004 -4092Barclays F 0065 0028 0121 0027 0811 0005 -4028Rabobank Int Brasil SA F 0047 0017 0102 0017 0845 0003 -4605B Nat de Paris Brasil SA F 0036 0017 0054 0013 0819 0005 -3304Ibibank SA - Banco Multiplo F 0043 0010 0114 0025 0782 0013 -1623Dresdner Bank - B Multiplo F 0096 0015 0270 0076 0785 0007 -2924Banco Westlb Do Brasil SA F 0041 0026 0062 0013 0853 0010 -154Banco GE Capital SA F 0054 0026 0253 0049 0862 0010 -1444B Com Uruguai SA F 0070 0017 0220 0058 0849 0003 -4471S - State-owned bank N - National bank and F - Foreign bank

44

Table A8 Estimates of Lerner index and return to scale by bank - Model (3)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0034 0090 0016 0941 0008 -772Banrisul S 0051 0032 0108 0016 0938 0008 -772BEC S 0035 0018 0051 0009 0856 0009 -1562BRB S 0052 0032 0122 0018 0958 0002 -1793BB S 0052 0035 0085 0015 0951 0006 -809Caixa Economica Federal S 0054 0039 0098 0014 1015 0003 465B da Amazonia SA S 0053 0014 0113 0024 0845 0008 -1977B do Estado Do Para SA S 0049 0028 0071 0010 0947 0005 -1117B do E do Maranhao SA S 0041 0032 0059 0008 0957 0015 -285B do E do Piauı SA - Bep S 0041 0028 0086 0014 0882 0005 -2518B do Estado De Sergipe SA S 0052 0021 0145 0022 0957 0004 -1182Nossa Caixa - N Banco SA S 0045 0029 0081 0015 0971 0005 -651Bradesco N 0052 0029 0101 0021 0893 0004 -2614Itau N 0054 0025 0203 0034 0872 0003 -4328Safra N 0048 0029 0093 0015 0869 0003 -5008Unibanco N 0041 0028 0067 0010 0874 0001 -8514Mercantil Do Brasil N 0053 0026 0095 0018 0939 0002 -29BBM N 0067 0013 0250 0056 0789 0005 -4501BMC N 0038 0024 0069 0010 0849 0003 -4408BMG N 0067 0015 0233 0058 0776 0004 -6374JMalucelli N 0052 0022 0087 0016 0720 0003 -9426PEBB N 0045 0014 0158 0040 0727 0009 -3192SS N 0057 0025 0231 0046 0797 0007 -287Sofisa N 0053 0018 0116 0026 0807 0002 -8444BIC N 0059 0030 0250 0049 0850 0006 -2596Schahin N 0048 0023 0220 0038 0842 0007 -2424Stock N 0083 0017 0304 0077 0838 0006 -2873Pine N 0049 0019 0105 0020 0810 0004 -5103Socopa N 0050 0026 0111 0018 0903 0003 -3253Intercap N 0055 0020 0196 0036 0828 0006 -283Indusval N 0062 0029 0282 0052 0863 0005 -2588Bonsucesso N 0051 0017 0118 0025 0789 0006 -3771Industrial do Brasil N 0046 0025 0086 0015 0815 0002 -8341Votorantim N 0050 0027 0128 0027 0809 0007 -2664Cacique N 0037 0020 0048 0009 0781 0005 -4645Inter Amex N 0039 0026 0058 0009 0842 0006 -2468Alfa N 0044 0031 0072 0011 0801 0002 -11998Rendimento N 0049 0022 0078 0011 0885 0008 -1463Bancoob N 0066 0057 0077 0007 0854 0003 -4342Original N 0102 0019 0301 0096 0730 0006 -4526Banco Intermedium SA N 0059 0027 0083 0020 0752 0006 -4354

Table A8 ndash Continue on next page

45

Table A8 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0017 0217 0054 0776 0003 -7084Banco BBN SA N 0038 0022 0058 0010 0831 0011 -1492B Cooperativo Sicredi SA N 0047 0035 0071 0010 0879 0005 -259B Cooperativo do Brasil SA N 0046 0035 0128 0020 0919 0006 -1339Banco Topazio SA N 0075 0036 0153 0041 0855 0005 -2657Banco Gerador SA N 0091 0057 0144 0034 0869 0008 -173Banco Randon SA N 0124 0029 0332 0112 0799 0005 -4023Parana Banco SA N 0036 0021 0071 0012 0797 0008 -2452Banco Triangulo SA N 0053 0023 0115 0027 0839 0004 -4256Banco Guanabara SA N 0047 0020 0100 0019 0790 0004 -561Banco Cedula SA N 0066 0012 0362 0068 0747 0003 -10082Banco Cacique SA N 0063 0026 0231 0074 0789 0016 -1336Banco Luso Brasileiro SA N 0066 0026 0249 0053 0865 0005 -2985Banco Pecunia SA N 0034 0029 0041 0004 0784 0003 -7038Banco Zogbi SA N 0036 0027 0046 0006 0782 0002 -13399Banco Daycoval SA N 0054 0019 0131 0034 0784 0004 -607Banco John Deere SA N 0039 0015 0083 0018 0761 0003 -8316Banco AJ Renner SA N 0049 0024 0073 0013 0840 0006 -2621ABN Amro F 0041 0030 0066 0009 0890 0002 -6866Chase F 0059 0013 0173 0039 0801 0007 -2733LLoyds F 0038 0021 0055 0010 0821 0003 -5484BankBoston F 0040 0028 0063 0012 0888 0006 -1931Santander Brasil F 0056 0028 0107 0027 0866 0008 -1663Citibank F 0052 0022 0123 0023 0860 0003 -4735BNL F 0039 0028 0063 0014 0841 0005 -2966Sudameris F 0041 0036 0052 0006 0948 0011 -473Societe Generale F 0052 0020 0103 0022 0833 0006 -2579Europeu F 0038 0030 0049 0007 0856 0007 -2153ABC-Brasil F 0046 0029 0079 0014 0813 0003 -5935Dresdner F 0055 0014 0212 0052 0822 0005 -3913AGF Braseg F 0046 0027 0071 0014 0806 0005 -4276HSBC F 0053 0032 0101 0019 0949 0007 -784Deutsche F 0058 0013 0141 0029 0863 0005 -2878BNP Paribas F 0051 0030 0074 0012 0818 0004 -4118Barclays F 0066 0025 0130 0030 0805 0005 -4123Rabobank Int Brasil SA F 0049 0019 0109 0018 0844 0003 -4752B Nat de Paris Brasil SA F 0041 0019 0069 0018 0817 0005 -3368Ibibank SA - Banco Multiplo F 0046 0010 0095 0021 0781 0014 -1617Dresdner Bank - B Multiplo F 0093 0017 0282 0072 0782 0008 -2899Banco Westlb Do Brasil SA F 0044 0027 0069 0015 0850 0009 -1591Banco GE Capital SA F 0055 0026 0249 0046 0859 0009 -1489B Com Uruguai SA F 0071 0017 0228 0056 0845 0003 -46241S - State-owned bank N - National bank and F - Foreign bank

46

Table A9 Estimates of Lerner index and return to scale by bank - Model (4)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0054 0041 0078 0011 0939 0007 -873Banrisul S 0055 0040 0106 0014 0948 0008 -692BEC S 0046 0020 0072 0014 0846 0009 -1746BRB S 0057 0032 0094 0016 0959 0002 -1673BB S 0057 0038 0095 0014 0981 0006 -33Caixa Economica Federal S 0061 0049 0165 0021 1042 0003 1249B da Amazonia SA S 0056 0015 0117 0022 0844 0008 -2047B do Estado Do Para SA S 0059 0025 0103 0020 0936 0004 -1701B do E Do Maranhao SA S 0052 0044 0062 0005 0936 0014 -448B do E Do Piauı SA - Bep S 0054 0029 0147 0028 0865 0004 -3201B do Estado De Sergipe SA S 0061 0023 0168 0026 0947 0004 -1484Nossa Caixa - N Banco SA S 0054 0035 0085 0012 0977 0004 -547Bradesco N 0056 0036 0107 0017 0919 0004 -2123Itau N 0058 0030 0212 0032 0896 0003 -3979Safra N 0052 0035 0107 0013 0882 0003 -445Unibanco N 0052 0035 0082 0013 0892 0001 -7446Mercantil Do Brasil N 0057 0027 0093 0015 0942 0002 -2687BBM N 0075 0015 0294 0064 0784 0005 -4512BMC N 0050 0029 0074 0011 0846 0003 -472BMG N 0065 0016 0202 0047 0779 0003 -7192JMalucelli N 0048 0022 0071 0014 0720 0003 -8923PEBB N 0061 0016 0172 0044 0704 0008 -382SS N 0056 0033 0213 0037 0799 0007 -2875Sofisa N 0053 0020 0087 0019 0805 0002 -9731BIC N 0061 0033 0269 0048 0854 0005 -2768Schahin N 0053 0027 0205 0034 0836 0006 -2627Stock N 0081 0020 0265 0068 0820 0006 -3122Pine N 0052 0022 0118 0021 0808 0004 -5467Socopa N 0054 0026 0114 0016 0888 0003 -3785Intercap N 0057 0023 0203 0035 0815 0006 -2877Indusval N 0062 0029 0239 0043 0857 0005 -3085Bonsucesso N 0052 0019 0088 0018 0782 0005 -403Industrial do Brasil N 0050 0030 0076 0015 0809 0002 -9427Votorantim N 0051 0036 0102 0017 0817 0008 -2222Cacique N 0050 0023 0067 0013 0776 0005 -4659Inter Amex N 0052 0035 0064 0009 0837 0007 -2226Alfa N 0048 0039 0071 0007 0805 0002 -11484Rendimento N 0052 0022 0076 0013 0874 0008 -1571Bancoob N 0057 0045 0071 0011 0855 0003 -5022Original N 0094 0017 0278 0090 0730 0006 -4242Banco Intermedium SA N 0049 0027 0065 0014 0746 0006 -4054

Table A9 ndash Continue on next page

47

Table A9 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0019 0220 0050 0764 0003 -7516Banco BBN SA N 0050 0027 0072 0013 0819 0012 -1529B Cooperativo Sicredi SA N 0051 0041 0068 0006 0875 0005 -2551B Cooperativo do Brasil SA N 0053 0044 0134 0018 0910 0006 -151Banco Topazio SA N 0066 0035 0128 0036 0837 0005 -2981Banco Gerador SA N 0082 0045 0157 0043 0854 0007 -1967Banco Randon SA N 0106 0026 0312 0105 0786 0005 -4204Parana Banco SA N 0048 0025 0102 0018 0787 0008 -2768Banco Triangulo SA N 0054 0027 0088 0021 0834 0004 -427Banco Guanabara SA N 0051 0023 0161 0025 0780 0004 -5659Banco Cedula SA N 0069 0012 0360 0065 0735 0003 -1028Banco Cacique SA N 0073 0027 0240 0075 0786 0016 -1327Banco Luso Brasileiro SA N 0065 0026 0242 0047 0852 0004 -346Banco Pecunia SA N 0045 0037 0056 0006 0773 0003 -7139Banco Zogbi SA N 0048 0036 0064 0010 0779 0001 -15057Banco Daycoval SA N 0055 0022 0126 0030 0784 0004 -568Banco John Deere SA N 0056 0018 0125 0031 0757 0003 -8084Banco AJ Renner SA N 0051 0025 0077 0013 0829 0006 -2763ABN Amro F 0053 0038 0074 0013 0909 0002 -4803Chase F 0066 0014 0220 0046 0793 0008 -2711LLoyds F 0050 0026 0060 0011 0825 0003 -5323BankBoston F 0054 0038 0092 0018 0899 0006 -1734Santander Brasil F 0056 0033 0098 0019 0885 0007 -1529Citibank F 0059 0025 0145 0030 0872 0003 -421BNL F 0052 0039 0091 0018 0840 0006 -2854Sudameris F 0053 0046 0062 0005 0961 0011 -352Societe Generale F 0058 0023 0144 0028 0827 0006 -2968Europeu F 0052 0031 0069 0012 0849 0007 -23ABC-Brasil F 0051 0028 0091 0015 0815 0003 -6225Dresdner F 0078 0017 0271 0071 0816 0005 -339AGF Braseg F 0050 0030 0094 0015 0797 0004 -4873HSBC F 0057 0045 0116 0016 0966 0006 -562Deutsche F 0066 0013 0151 0034 0858 0004 -3316BNP Paribas F 0050 0036 0071 0010 0823 0005 -3772Barclays F 0057 0024 0102 0025 0777 0007 -3003Rabobank Int Brasil SA F 0057 0021 0157 0026 0842 0003 -5266B Nat de Paris Brasil SA F 0059 0023 0102 0030 0812 0006 -3387Ibibank SA - Banco Multiplo F 0056 0012 0100 0023 0781 0015 -148Dresdner Bank - B Multiplo F 0084 0016 0237 0064 0771 0008 -2798Banco Westlb Do Brasil SA F 0061 0033 0101 0025 0841 0010 -1646Banco GE Capital SA F 0063 0031 0238 0044 0853 0010 -1548B Com Uruguai SA F 0074 0020 0226 0056 0833 0003 -51921S - State-owned bank N - National bank and F - Foreign bank

48

Table A10 Estimates of Lerner index and return to scale by bank - Model (5)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0043 0093 0012 0940 0007 -834Banrisul S 0054 0041 0083 0009 0949 0008 -668BEC S 0046 0020 0075 0014 0846 0009 -1719BRB S 0058 0032 0121 0017 0960 0002 -1607BB S 0056 0037 0087 0010 0981 0006 -321Caixa Economica Federal S 0061 0050 0156 0019 1044 0003 1282B da Amazonia SA S 0057 0016 0115 0023 0843 0008 -2023B do Estado Do Para SA S 0059 0027 0102 0020 0938 0004 -1608B do E Do Maranhao SA S 0052 0042 0064 0006 0939 0015 -418B do E Do Piauı SA - Bep S 0054 0029 0138 0025 0866 0004 -3097B do Estado De Sergipe SA S 0059 0024 0136 0020 0949 0004 -1404Nossa Caixa - N Banco SA S 0055 0036 0088 0013 0979 0004 -494Bradesco N 0056 0037 0108 0016 0918 0004 -2108Itau N 0058 0031 0213 0033 0894 0003 -3968Safra N 0052 0036 0086 0010 0881 0003 -4388Unibanco N 0053 0037 0085 0013 0892 0001 -7433Mercantil Do Brasil N 0057 0027 0086 0012 0943 0002 -2619BBM N 0075 0015 0292 0063 0784 0005 -447BMC N 0050 0029 0077 0012 0846 0003 -4648BMG N 0067 0017 0220 0051 0777 0003 -7116JMalucelli N 0049 0022 0083 0016 0718 0003 -8879PEBB N 0060 0017 0176 0044 0704 0008 -3743SS N 0059 0032 0223 0041 0798 0007 -2847Sofisa N 0055 0021 0112 0022 0804 0002 -9624BIC N 0060 0032 0238 0041 0853 0005 -2725Schahin N 0055 0028 0228 0038 0836 0006 -2575Stock N 0082 0019 0267 0068 0821 0006 -3063Pine N 0052 0022 0096 0018 0808 0004 -5392Socopa N 0055 0027 0113 0016 0889 0003 -3694Intercap N 0060 0023 0210 0037 0814 0006 -2856Indusval N 0062 0029 0245 0044 0857 0005 -3023Bonsucesso N 0053 0020 0113 0022 0781 0005 -3999Industrial do Brasil N 0051 0030 0084 0016 0808 0002 -9274Votorantim N 0052 0037 0130 0022 0816 0008 -2227Cacique N 0049 0024 0065 0012 0775 0005 -4632Inter Amex N 0052 0034 0067 0011 0837 0007 -2236Alfa N 0047 0041 0056 0004 0804 0002 -11448Rendimento N 0053 0022 0079 0011 0874 0008 -1549Bancoob N 0056 0050 0064 0005 0856 0003 -4874Original N 0087 0018 0288 0093 0728 0006 -4259Banco Intermedium SA N 0055 0027 0078 0019 0744 0006 -4047

Table A10 ndash Continue on next page

49

Table A10 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0217 0048 0763 0003 -7417Banco BBN SA N 0051 0026 0075 0014 0820 0012 -1504B Cooperativo Sicredi SA N 0051 0040 0061 0005 0876 0005 -2499B Cooperativo do Brasil SA N 0054 0043 0136 0019 0912 0006 -1445Banco Topazio SA N 0061 0034 0109 0026 0838 0006 -2897Banco Gerador SA N 0073 0052 0124 0026 0855 0008 -1918Banco Randon SA N 0120 0024 0327 0114 0785 0005 -4153Parana Banco SA N 0048 0026 0106 0020 0786 0008 -2732Banco Triangulo SA N 0055 0027 0111 0022 0834 0004 -4227Banco Guanabara SA N 0052 0024 0153 0024 0779 0004 -5589Banco Cedula SA N 0069 0012 0339 0062 0734 0003 -10232Banco Cacique SA N 0076 0027 0246 0076 0785 0016 -1317Banco Luso Brasileiro SA N 0067 0027 0207 0047 0852 0004 -3379Banco Pecunia SA N 0046 0038 0054 0006 0773 0003 -71Banco Zogbi SA N 0047 0037 0061 0010 0778 0001 -14931Banco Daycoval SA N 0054 0022 0126 0026 0782 0004 -5661Banco John Deere SA N 0056 0018 0129 0031 0756 0003 -8043Banco AJ Renner SA N 0053 0025 0080 0015 0829 0006 -2716ABN Amro F 0053 0038 0074 0012 0908 0002 -4751Chase F 0067 0014 0225 0047 0792 0008 -2693LLoyds F 0049 0025 0064 0012 0824 0003 -5227BankBoston F 0054 0037 0096 0020 0899 0006 -1701Santander Brasil F 0057 0033 0103 0019 0884 0008 -1511Citibank F 0059 0026 0154 0028 0871 0003 -4204BNL F 0052 0037 0097 0020 0840 0006 -28Sudameris F 0052 0045 0058 0005 0962 0011 -334Societe Generale F 0060 0023 0151 0031 0827 0006 -2924Europeu F 0050 0032 0066 0012 0849 0007 -2263ABC-Brasil F 0051 0025 0079 0014 0814 0003 -617Dresdner F 0080 0017 0276 0073 0816 0005 -3374AGF Braseg F 0050 0031 0093 0015 0796 0004 -4812HSBC F 0057 0043 0093 0011 0966 0006 -541Deutsche F 0066 0013 0155 0035 0858 0004 -3244BNP Paribas F 0050 0035 0067 0008 0822 0005 -3775Barclays F 0056 0024 0113 0025 0778 0007 -305Rabobank Int Brasil SA F 0057 0021 0163 0027 0842 0003 -5208B Nat de Paris Brasil SA F 0058 0022 0100 0029 0812 0006 -3343Ibibank SA - Banco Multiplo F 0057 0012 0099 0023 0780 0015 -1478Dresdner Bank - B Multiplo F 0087 0016 0244 0068 0770 0008 -2768Banco Westlb Do Brasil SA F 0063 0034 0106 0026 0841 0010 -1625Banco GE Capital SA F 0064 0032 0247 0046 0853 0010 -1522B Com Uruguai SA F 0073 0019 0191 0049 0833 0003 -50981S - State-owned bank N - National bank and F - Foreign bank

50

Table A11 Estimates of Lerner index and return to scale by bank - Model (6)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0036 0096 0015 0939 0007 -855Banrisul S 0050 0035 0098 0014 0938 0008 -82BEC S 0041 0019 0067 0012 0855 0009 -1644BRB S 0053 0029 0124 0018 0956 0002 -1996BB S 0051 0032 0088 0013 0954 0006 -807Caixa Economica Federal S 0054 0040 0094 0012 1014 0003 475B da Amazonia SA S 0053 0015 0103 0022 0846 0008 -205B do Estado Do Para SA S 0051 0028 0074 0013 0943 0004 -1319B do E Do Maranhao SA S 0041 0031 0059 0008 0950 0014 -346B do E Do Piauı SA - Bep S 0042 0028 0084 0012 0879 0004 -2727B do Estado De Sergipe SA S 0052 0022 0153 0022 0953 0003 -1377Nossa Caixa - N Banco SA S 0047 0032 0081 0014 0969 0004 -74Bradesco N 0052 0032 0097 0019 0898 0004 -2645Itau N 0054 0027 0190 0031 0877 0003 -4452Safra N 0049 0032 0100 0015 0872 0003 -5056Unibanco N 0043 0032 0067 0010 0878 0001 -8666Mercantil Do Brasil N 0053 0026 0087 0017 0938 0002 -3104BBM N 0066 0013 0251 0056 0792 0005 -4556BMC N 0041 0026 0069 0011 0850 0003 -4582BMG N 0067 0016 0228 0057 0781 0003 -6611JMalucelli N 0051 0022 0089 0017 0725 0003 -9344PEBB N 0046 0015 0157 0039 0728 0008 -3313SS N 0058 0025 0230 0046 0801 0007 -292Sofisa N 0053 0020 0119 0025 0809 0002 -8846BIC N 0060 0029 0262 0049 0852 0005 -2697Schahin N 0049 0025 0229 0040 0843 0006 -2523Stock N 0081 0017 0284 0072 0836 0005 -2986Pine N 0049 0021 0112 0019 0812 0004 -5267Socopa N 0050 0026 0095 0015 0900 0003 -3515Intercap N 0055 0021 0196 0035 0828 0006 -2899Indusval N 0061 0029 0262 0049 0863 0005 -2762Bonsucesso N 0052 0019 0123 0026 0791 0005 -3885Industrial do Brasil N 0046 0027 0088 0015 0816 0002 -8698Votorantim N 0051 0027 0139 0027 0813 0007 -262Cacique N 0039 0022 0050 0009 0784 0005 -4707Inter Amex N 0045 0027 0064 0012 0843 0006 -2493Alfa N 0044 0033 0068 0009 0805 0002 -12111Rendimento N 0050 0022 0073 0010 0883 0008 -1543Bancoob N 0066 0055 0072 0007 0856 0003 -4559Original N 0098 0020 0294 0094 0735 0006 -4509Banco Intermedium SA N 0057 0024 0085 0022 0756 0006 -4324

Table A11 ndash Continue on next page

51

Table A11 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0061 0017 0195 0048 0777 0003 -7233Banco BBN SA N 0042 0023 0059 0012 0831 0011 -1529B Cooperativo Sicredi SA N 0048 0035 0066 0009 0879 0005 -2672B Cooperativo do Brasil SA N 0046 0034 0119 0017 0917 0006 -1439Banco Topazio SA N 0070 0031 0129 0036 0853 0005 -2776Banco Gerador SA N 0086 0057 0148 0034 0867 0007 -1825Banco Randon SA N 0126 0028 0331 0114 0799 0005 -4136Parana Banco SA N 0039 0023 0082 0015 0798 0008 -2556Banco Triangulo SA N 0052 0025 0116 0025 0840 0004 -4363Banco Guanabara SA N 0048 0021 0100 0019 0792 0004 -5683Banco Cedula SA N 0067 0013 0356 0067 0749 0002 -10205Banco Cacique SA N 0067 0026 0232 0073 0792 0015 -1356Banco Luso Brasileiro SA N 0065 0025 0237 0052 0864 0004 -3163Banco Pecunia SA N 0037 0029 0045 0006 0786 0003 -7158Banco Zogbi SA N 0037 0027 0045 0007 0785 0002 -13921Banco Daycoval SA N 0053 0020 0120 0031 0787 0003 -6088Banco John Deere SA N 0043 0017 0099 0022 0764 0003 -8346Banco AJ Renner SA N 0050 0025 0080 0013 0840 0006 -2706ABN Amro F 0043 0035 0067 0008 0894 0002 -6685Chase F 0059 0014 0189 0040 0803 0007 -2772LLoyds F 0039 0021 0055 0012 0824 0003 -5536BankBoston F 0044 0029 0075 0015 0890 0006 -1965Santander Brasil F 0054 0028 0107 0024 0871 0008 -1694Citibank F 0054 0023 0133 0026 0863 0003 -4787BNL F 0042 0028 0078 0018 0843 0005 -2998Sudameris F 0041 0036 0052 0006 0948 0010 -491Societe Generale F 0054 0020 0118 0025 0834 0006 -2716Europeu F 0038 0029 0049 0008 0856 0006 -2239ABC-Brasil F 0046 0028 0084 0014 0816 0003 -6111Dresdner F 0063 0015 0239 0061 0823 0005 -3888AGF Braseg F 0047 0027 0074 0014 0807 0004 -4477HSBC F 0054 0032 0109 0018 0950 0006 -823Deutsche F 0058 0013 0122 0028 0863 0004 -305BNP Paribas F 0051 0032 0070 0011 0822 0004 -4145Barclays F 0064 0024 0128 0029 0802 0005 -4051Rabobank Int Brasil SA F 0051 0019 0130 0021 0846 0003 -4992B Nat de Paris Brasil SA F 0043 0019 0070 0019 0819 0005 -3429Ibibank SA - Banco Multiplo F 0049 0010 0083 0020 0785 0013 -161Dresdner Bank - B Multiplo F 0087 0016 0261 0066 0783 0007 -2901Banco Westlb Do Brasil SA F 0051 0030 0082 0019 0850 0009 -1643Banco GE Capital SA F 0053 0028 0239 0044 0859 0009 -1544B Com Uruguai SA F 0071 0017 0217 0054 0845 0003 -48451S - State-owned bank N - National bank and F - Foreign bank

52

Seacuterie de Textos para Discussatildeo do Curso de Ciecircncias Econocircmicas ndash FACEUFG ndash TD [078]

EDITORIAL FACE ndash Faculdade de Administraccedilatildeo Ciecircncias Contaacutebeis e Ciecircncias Econocircmicas Curso de Ciecircncias Econocircmicas Direccedilatildeo FACE Prof Moiseacutes Ferreira da Cunha Vice-Direccedilatildeo FACE Profordf Andreacutea Freire de Lucena Coordenaccedilatildeo do Curso de Ciecircncias Econocircmicas Prof Tiago Camarinha Lopes NEPEC ndash Nuacutecleo de Estudos e Pesquisas Econocircmicas Coordenaccedilatildeo Prof Seacutergio Fornazier Meyrelles Filho SEacuteRIE DE TEXTOS PARA DISCUSSAtildeO DO CURSO DE CIEcircNCIAS ECONOcircMICAS DA UFG Coordenaccedilatildeo e Equipe de Editoraccedilatildeo Prof Sandro Eduardo Monsueto Adriana Moura Guimaratildees Matheus Henrique de Arauacutejo Dutra

Endereccedilo Campus Samambaia Preacutedio da FACE ndash Rodovia GoiacircniaNova Veneza km 0 ndash CEP 74690-900 Goiacircnia ndash GO Tel (62) 3521 ndash 1390 URL httpwwwfaceufgbreconomia Publicaccedilatildeo cujo objetivo eacute divulgar resultados de estudos que contam com a participaccedilatildeo de pesquisadores do NEPEC As opiniotildees contidas nesta publicaccedilatildeo satildeo de inteira responsabilidade do(s) autor(es) natildeo representando necessariamente o ponto de vista do NEPEC ou da FACEUFG Eacute permitida a reproduccedilatildeo desde que citada a fonte

Page 44: 1(3(& )$&( 8)* · The Dark Side of Prudential MeasuresI Paulo R. Scalco a, Benjamin M. Tabak1, Anderson M. Teixeira aFaculty of Management, Accounting and Economics, Federal University

Table A6 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0225 0049 0761 0003 -7509Banco BBN SA N 0053 0027 0077 0014 0817 0012 -1509B Cooperativo Sicredi SA N 0052 0043 0062 0005 0875 0005 -2477B Cooperativo do Brasil SA N 0056 0046 0142 0020 0910 0006 -1479Banco Topazio SA N 0060 0035 0110 0027 0834 0006 -2966Banco Gerador SA N 0069 0045 0122 0028 0852 0008 -1968Banco Randon SA N 0109 0023 0320 0109 0783 0005 -4158Parana Banco SA N 0050 0026 0108 0020 0784 0008 -2799Banco Triangulo SA N 0055 0028 0091 0020 0833 0004 -4201Banco Guanabara SA N 0052 0024 0169 0025 0777 0004 -5588Banco Cedula SA N 0068 0012 0339 0061 0731 0003 -10236Banco Cacique SA N 0077 0028 0248 0077 0785 0016 -1309B Luso Brasileiro SA N 0065 0027 0208 0043 0849 0004 -349Banco Pecunia SA N 0047 0039 0060 0006 0770 0003 -7086Banco Zogbi SA N 0051 0038 0067 0011 0778 0001 -15193Banco Daycoval SA N 0054 0023 0131 0026 0783 0004 -5522B John Deere SA N 0059 0018 0133 0033 0756 0003 -7955Banco AJ Renner SA N 0053 0025 0081 0015 0827 0006 -2742ABN Amro F 0056 0039 0079 0014 0914 0002 -427Chase F 0068 0014 0228 0049 0790 0008 -2678LLoyds F 0053 0027 0064 0012 0825 0003 -5159BankBoston F 0057 0040 0099 0020 0902 0006 -1638Santander Brasil F 0057 0034 0097 0017 0890 0008 -146Citibank F 0059 0026 0153 0028 0875 0003 -4039BNL F 0055 0041 0097 0019 0840 0006 -2767Sudameris F 0056 0048 0065 0005 0966 0012 -297Societe Generale F 0060 0024 0153 0031 0826 0006 -299Europeu F 0054 0032 0073 0013 0848 0007 -2287ABC-Brasil F 0052 0025 0082 0014 0815 0003 -6207Dresdner F 0083 0017 0280 0074 0815 0006 -3234AGF Braseg F 0051 0031 0100 0016 0794 0004 -4923HSBC F 0057 0046 0092 0010 0971 0006 -466Deutsche F 0068 0013 0160 0036 0857 0004 -3335BNP Paribas F 0050 0037 0068 0007 0824 0005 -3665Barclays F 0052 0024 0089 0021 0771 0008 -2787Rabobank Int Brasil SA F 0058 0022 0166 0028 0842 0003 -5284B Nat de Paris Br SA F 0063 0023 0109 0033 0811 0006 -3331Ibibank SA - Banco Multiplo F 0059 0012 0106 0024 0781 0015 -1441Dresdner Bank - B Multiplo F 0086 0016 0244 0068 0768 0008 -2746Banco Westlb Do Brasil SA F 0064 0034 0108 0027 0839 0010 -1626Banco GE Capital SA F 0067 0032 0247 0047 0852 0010 -1527B Com Uruguai SA F 0072 0020 0192 0049 0830 0003 -52281S - State-owned bank N - National bank and F - Foreign bank

42

Table A7 Estimates of Lerner index and return to scale by bank - Model (2)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0049 0032 0085 0016 0944 0008 -716Banrisul S 0049 0032 0106 0017 0939 0008 -75BEC S 0032 0016 0046 0008 0860 0009 -1489BRB S 0049 0030 0112 0017 0961 0002 -1681BB S 0049 0032 0091 0016 0948 0006 -845Caixa Economica Federal S 0052 0034 0081 0014 1012 0003 382B da Amazonia SA S 0053 0015 0140 0028 0847 0008 -1922B do Estado Do Para SA S 0046 0029 0063 0009 0952 0005 -963B do Est do Maranhao SA S 0036 0029 0045 0005 0963 0016 -235B do Est do Piauı SA - Bep S 0036 0023 0071 0011 0888 0005 -2314B do Estado De Sergipe SA S 0050 0020 0155 0024 0962 0004 -1043Nossa Caixa - N Banco SA S 0039 0027 0074 0011 0972 0005 -601Bradesco N 0050 0028 0116 0023 0890 0004 -2618Itau N 0052 0024 0222 0037 0869 0003 -4269Safra N 0046 0028 0100 0017 0867 0003 -5042Unibanco N 0035 0028 0054 0007 0873 0001 -8511Mercantil Do Brasil N 0051 0029 0093 0019 0941 0002 -2837BBM N 0063 0012 0213 0048 0790 0005 -4494BMC N 0034 0023 0049 0007 0851 0003 -4266BMG N 0065 0015 0233 0057 0776 0004 -6135JMalucelli N 0052 0018 0080 0016 0720 0003 -9566PEBB N 0037 0014 0108 0025 0732 0009 -3086SS N 0056 0024 0236 0046 0797 0007 -2849Sofisa N 0052 0018 0107 0028 0808 0002 -8115BIC N 0057 0026 0259 0050 0850 0006 -2531Schahin N 0047 0022 0225 0041 0845 0007 -2359Stock N 0078 0017 0287 0071 0843 0006 -2782Pine N 0048 0018 0114 0023 0811 0004 -4973Socopa N 0050 0022 0136 0024 0908 0003 -3089Intercap N 0051 0019 0133 0031 0832 0006 -2759Indusval N 0061 0023 0267 0052 0866 0006 -2437Bonsucesso N 0050 0017 0109 0026 0791 0006 -3655Industrial do Brasil N 0044 0024 0079 0015 0816 0002 -8095Votorantim N 0048 0025 0120 0026 0807 0007 -2721Cacique N 0033 0020 0039 0006 0782 0005 -4597Inter Amex N 0035 0025 0045 0007 0844 0006 -2419Alfa N 0042 0029 0069 0013 0801 0002 -12139Rendimento N 0049 0019 0077 0015 0889 0008 -1394Bancoob N 0065 0057 0073 0006 0855 0003 -4199Original N 0099 0019 0299 0096 0732 0006 -4473Banco Intermedium SA N 0062 0032 0081 0019 0754 0006 -4393

Table A7 ndash Continue on next page

43

Table A7 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0059 0016 0239 0051 0778 0003 -6944Banco BBN SA N 0035 0020 0053 0009 0834 0011 -1466B Cooperativo Sicredi SA N 0045 0032 0070 0011 0881 0005 -2581B Cooperativo do Brasil SA N 0045 0029 0147 0025 0922 0006 -1274Banco Topazio SA N 0076 0043 0138 0038 0861 0005 -2569Banco Gerador SA N 0089 0054 0153 0037 0874 0008 -1645Banco Randon SA N 0122 0029 0335 0113 0803 0005 -388Parana Banco SA N 0033 0020 0062 0011 0800 0009 -234Banco Triangulo SA N 0052 0022 0105 0027 0841 0004 -4148Banco Guanabara SA N 0046 0019 0091 0020 0793 0004 -5561Banco Cedula SA N 0062 0011 0359 0067 0749 0003 -9911Banco Cacique SA N 0049 0020 0157 0048 0791 0016 -1315Banco Luso Brasileiro SA N 0066 0022 0241 0055 0870 0005 -2851Banco Pecunia SA N 0032 0027 0036 0003 0787 0003 -6876Banco Zogbi SA N 0032 0026 0037 0005 0784 0002 -13006Banco Daycoval SA N 0053 0019 0139 0036 0784 0004 -6065Banco John Deere SA N 0035 0016 0073 0016 0761 0003 -8278Banco AJ Renner SA N 0047 0021 0083 0015 0844 0006 -2553ABN Amro F 0035 0027 0047 0006 0889 0002 -7231Chase F 0054 0013 0157 0033 0804 0007 -2702LLoyds F 0033 0020 0043 0008 0821 0003 -5429BankBoston F 0036 0026 0060 0011 0888 0006 -1917Santander Brasil F 0055 0025 0115 0030 0864 0008 -1647Citibank F 0051 0020 0132 0025 0860 0003 -4735BNL F 0036 0026 0062 0012 0843 0005 -2959Sudameris F 0036 0031 0040 0004 0949 0011 -468Societe Generale F 0051 0018 0104 0024 0835 0007 -2454Europeu F 0034 0025 0041 0006 0859 0007 -2076ABC-Brasil F 0043 0026 0086 0015 0813 0003 -5797Dresdner F 0050 0014 0190 0046 0824 0004 -3975AGF Braseg F 0044 0024 0068 0014 0810 0005 -4109HSBC F 0052 0031 0110 0021 0948 0007 -776Deutsche F 0054 0012 0166 0030 0866 0005 -2754BNP Paribas F 0049 0028 0073 0013 0818 0004 -4092Barclays F 0065 0028 0121 0027 0811 0005 -4028Rabobank Int Brasil SA F 0047 0017 0102 0017 0845 0003 -4605B Nat de Paris Brasil SA F 0036 0017 0054 0013 0819 0005 -3304Ibibank SA - Banco Multiplo F 0043 0010 0114 0025 0782 0013 -1623Dresdner Bank - B Multiplo F 0096 0015 0270 0076 0785 0007 -2924Banco Westlb Do Brasil SA F 0041 0026 0062 0013 0853 0010 -154Banco GE Capital SA F 0054 0026 0253 0049 0862 0010 -1444B Com Uruguai SA F 0070 0017 0220 0058 0849 0003 -4471S - State-owned bank N - National bank and F - Foreign bank

44

Table A8 Estimates of Lerner index and return to scale by bank - Model (3)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0034 0090 0016 0941 0008 -772Banrisul S 0051 0032 0108 0016 0938 0008 -772BEC S 0035 0018 0051 0009 0856 0009 -1562BRB S 0052 0032 0122 0018 0958 0002 -1793BB S 0052 0035 0085 0015 0951 0006 -809Caixa Economica Federal S 0054 0039 0098 0014 1015 0003 465B da Amazonia SA S 0053 0014 0113 0024 0845 0008 -1977B do Estado Do Para SA S 0049 0028 0071 0010 0947 0005 -1117B do E do Maranhao SA S 0041 0032 0059 0008 0957 0015 -285B do E do Piauı SA - Bep S 0041 0028 0086 0014 0882 0005 -2518B do Estado De Sergipe SA S 0052 0021 0145 0022 0957 0004 -1182Nossa Caixa - N Banco SA S 0045 0029 0081 0015 0971 0005 -651Bradesco N 0052 0029 0101 0021 0893 0004 -2614Itau N 0054 0025 0203 0034 0872 0003 -4328Safra N 0048 0029 0093 0015 0869 0003 -5008Unibanco N 0041 0028 0067 0010 0874 0001 -8514Mercantil Do Brasil N 0053 0026 0095 0018 0939 0002 -29BBM N 0067 0013 0250 0056 0789 0005 -4501BMC N 0038 0024 0069 0010 0849 0003 -4408BMG N 0067 0015 0233 0058 0776 0004 -6374JMalucelli N 0052 0022 0087 0016 0720 0003 -9426PEBB N 0045 0014 0158 0040 0727 0009 -3192SS N 0057 0025 0231 0046 0797 0007 -287Sofisa N 0053 0018 0116 0026 0807 0002 -8444BIC N 0059 0030 0250 0049 0850 0006 -2596Schahin N 0048 0023 0220 0038 0842 0007 -2424Stock N 0083 0017 0304 0077 0838 0006 -2873Pine N 0049 0019 0105 0020 0810 0004 -5103Socopa N 0050 0026 0111 0018 0903 0003 -3253Intercap N 0055 0020 0196 0036 0828 0006 -283Indusval N 0062 0029 0282 0052 0863 0005 -2588Bonsucesso N 0051 0017 0118 0025 0789 0006 -3771Industrial do Brasil N 0046 0025 0086 0015 0815 0002 -8341Votorantim N 0050 0027 0128 0027 0809 0007 -2664Cacique N 0037 0020 0048 0009 0781 0005 -4645Inter Amex N 0039 0026 0058 0009 0842 0006 -2468Alfa N 0044 0031 0072 0011 0801 0002 -11998Rendimento N 0049 0022 0078 0011 0885 0008 -1463Bancoob N 0066 0057 0077 0007 0854 0003 -4342Original N 0102 0019 0301 0096 0730 0006 -4526Banco Intermedium SA N 0059 0027 0083 0020 0752 0006 -4354

Table A8 ndash Continue on next page

45

Table A8 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0017 0217 0054 0776 0003 -7084Banco BBN SA N 0038 0022 0058 0010 0831 0011 -1492B Cooperativo Sicredi SA N 0047 0035 0071 0010 0879 0005 -259B Cooperativo do Brasil SA N 0046 0035 0128 0020 0919 0006 -1339Banco Topazio SA N 0075 0036 0153 0041 0855 0005 -2657Banco Gerador SA N 0091 0057 0144 0034 0869 0008 -173Banco Randon SA N 0124 0029 0332 0112 0799 0005 -4023Parana Banco SA N 0036 0021 0071 0012 0797 0008 -2452Banco Triangulo SA N 0053 0023 0115 0027 0839 0004 -4256Banco Guanabara SA N 0047 0020 0100 0019 0790 0004 -561Banco Cedula SA N 0066 0012 0362 0068 0747 0003 -10082Banco Cacique SA N 0063 0026 0231 0074 0789 0016 -1336Banco Luso Brasileiro SA N 0066 0026 0249 0053 0865 0005 -2985Banco Pecunia SA N 0034 0029 0041 0004 0784 0003 -7038Banco Zogbi SA N 0036 0027 0046 0006 0782 0002 -13399Banco Daycoval SA N 0054 0019 0131 0034 0784 0004 -607Banco John Deere SA N 0039 0015 0083 0018 0761 0003 -8316Banco AJ Renner SA N 0049 0024 0073 0013 0840 0006 -2621ABN Amro F 0041 0030 0066 0009 0890 0002 -6866Chase F 0059 0013 0173 0039 0801 0007 -2733LLoyds F 0038 0021 0055 0010 0821 0003 -5484BankBoston F 0040 0028 0063 0012 0888 0006 -1931Santander Brasil F 0056 0028 0107 0027 0866 0008 -1663Citibank F 0052 0022 0123 0023 0860 0003 -4735BNL F 0039 0028 0063 0014 0841 0005 -2966Sudameris F 0041 0036 0052 0006 0948 0011 -473Societe Generale F 0052 0020 0103 0022 0833 0006 -2579Europeu F 0038 0030 0049 0007 0856 0007 -2153ABC-Brasil F 0046 0029 0079 0014 0813 0003 -5935Dresdner F 0055 0014 0212 0052 0822 0005 -3913AGF Braseg F 0046 0027 0071 0014 0806 0005 -4276HSBC F 0053 0032 0101 0019 0949 0007 -784Deutsche F 0058 0013 0141 0029 0863 0005 -2878BNP Paribas F 0051 0030 0074 0012 0818 0004 -4118Barclays F 0066 0025 0130 0030 0805 0005 -4123Rabobank Int Brasil SA F 0049 0019 0109 0018 0844 0003 -4752B Nat de Paris Brasil SA F 0041 0019 0069 0018 0817 0005 -3368Ibibank SA - Banco Multiplo F 0046 0010 0095 0021 0781 0014 -1617Dresdner Bank - B Multiplo F 0093 0017 0282 0072 0782 0008 -2899Banco Westlb Do Brasil SA F 0044 0027 0069 0015 0850 0009 -1591Banco GE Capital SA F 0055 0026 0249 0046 0859 0009 -1489B Com Uruguai SA F 0071 0017 0228 0056 0845 0003 -46241S - State-owned bank N - National bank and F - Foreign bank

46

Table A9 Estimates of Lerner index and return to scale by bank - Model (4)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0054 0041 0078 0011 0939 0007 -873Banrisul S 0055 0040 0106 0014 0948 0008 -692BEC S 0046 0020 0072 0014 0846 0009 -1746BRB S 0057 0032 0094 0016 0959 0002 -1673BB S 0057 0038 0095 0014 0981 0006 -33Caixa Economica Federal S 0061 0049 0165 0021 1042 0003 1249B da Amazonia SA S 0056 0015 0117 0022 0844 0008 -2047B do Estado Do Para SA S 0059 0025 0103 0020 0936 0004 -1701B do E Do Maranhao SA S 0052 0044 0062 0005 0936 0014 -448B do E Do Piauı SA - Bep S 0054 0029 0147 0028 0865 0004 -3201B do Estado De Sergipe SA S 0061 0023 0168 0026 0947 0004 -1484Nossa Caixa - N Banco SA S 0054 0035 0085 0012 0977 0004 -547Bradesco N 0056 0036 0107 0017 0919 0004 -2123Itau N 0058 0030 0212 0032 0896 0003 -3979Safra N 0052 0035 0107 0013 0882 0003 -445Unibanco N 0052 0035 0082 0013 0892 0001 -7446Mercantil Do Brasil N 0057 0027 0093 0015 0942 0002 -2687BBM N 0075 0015 0294 0064 0784 0005 -4512BMC N 0050 0029 0074 0011 0846 0003 -472BMG N 0065 0016 0202 0047 0779 0003 -7192JMalucelli N 0048 0022 0071 0014 0720 0003 -8923PEBB N 0061 0016 0172 0044 0704 0008 -382SS N 0056 0033 0213 0037 0799 0007 -2875Sofisa N 0053 0020 0087 0019 0805 0002 -9731BIC N 0061 0033 0269 0048 0854 0005 -2768Schahin N 0053 0027 0205 0034 0836 0006 -2627Stock N 0081 0020 0265 0068 0820 0006 -3122Pine N 0052 0022 0118 0021 0808 0004 -5467Socopa N 0054 0026 0114 0016 0888 0003 -3785Intercap N 0057 0023 0203 0035 0815 0006 -2877Indusval N 0062 0029 0239 0043 0857 0005 -3085Bonsucesso N 0052 0019 0088 0018 0782 0005 -403Industrial do Brasil N 0050 0030 0076 0015 0809 0002 -9427Votorantim N 0051 0036 0102 0017 0817 0008 -2222Cacique N 0050 0023 0067 0013 0776 0005 -4659Inter Amex N 0052 0035 0064 0009 0837 0007 -2226Alfa N 0048 0039 0071 0007 0805 0002 -11484Rendimento N 0052 0022 0076 0013 0874 0008 -1571Bancoob N 0057 0045 0071 0011 0855 0003 -5022Original N 0094 0017 0278 0090 0730 0006 -4242Banco Intermedium SA N 0049 0027 0065 0014 0746 0006 -4054

Table A9 ndash Continue on next page

47

Table A9 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0019 0220 0050 0764 0003 -7516Banco BBN SA N 0050 0027 0072 0013 0819 0012 -1529B Cooperativo Sicredi SA N 0051 0041 0068 0006 0875 0005 -2551B Cooperativo do Brasil SA N 0053 0044 0134 0018 0910 0006 -151Banco Topazio SA N 0066 0035 0128 0036 0837 0005 -2981Banco Gerador SA N 0082 0045 0157 0043 0854 0007 -1967Banco Randon SA N 0106 0026 0312 0105 0786 0005 -4204Parana Banco SA N 0048 0025 0102 0018 0787 0008 -2768Banco Triangulo SA N 0054 0027 0088 0021 0834 0004 -427Banco Guanabara SA N 0051 0023 0161 0025 0780 0004 -5659Banco Cedula SA N 0069 0012 0360 0065 0735 0003 -1028Banco Cacique SA N 0073 0027 0240 0075 0786 0016 -1327Banco Luso Brasileiro SA N 0065 0026 0242 0047 0852 0004 -346Banco Pecunia SA N 0045 0037 0056 0006 0773 0003 -7139Banco Zogbi SA N 0048 0036 0064 0010 0779 0001 -15057Banco Daycoval SA N 0055 0022 0126 0030 0784 0004 -568Banco John Deere SA N 0056 0018 0125 0031 0757 0003 -8084Banco AJ Renner SA N 0051 0025 0077 0013 0829 0006 -2763ABN Amro F 0053 0038 0074 0013 0909 0002 -4803Chase F 0066 0014 0220 0046 0793 0008 -2711LLoyds F 0050 0026 0060 0011 0825 0003 -5323BankBoston F 0054 0038 0092 0018 0899 0006 -1734Santander Brasil F 0056 0033 0098 0019 0885 0007 -1529Citibank F 0059 0025 0145 0030 0872 0003 -421BNL F 0052 0039 0091 0018 0840 0006 -2854Sudameris F 0053 0046 0062 0005 0961 0011 -352Societe Generale F 0058 0023 0144 0028 0827 0006 -2968Europeu F 0052 0031 0069 0012 0849 0007 -23ABC-Brasil F 0051 0028 0091 0015 0815 0003 -6225Dresdner F 0078 0017 0271 0071 0816 0005 -339AGF Braseg F 0050 0030 0094 0015 0797 0004 -4873HSBC F 0057 0045 0116 0016 0966 0006 -562Deutsche F 0066 0013 0151 0034 0858 0004 -3316BNP Paribas F 0050 0036 0071 0010 0823 0005 -3772Barclays F 0057 0024 0102 0025 0777 0007 -3003Rabobank Int Brasil SA F 0057 0021 0157 0026 0842 0003 -5266B Nat de Paris Brasil SA F 0059 0023 0102 0030 0812 0006 -3387Ibibank SA - Banco Multiplo F 0056 0012 0100 0023 0781 0015 -148Dresdner Bank - B Multiplo F 0084 0016 0237 0064 0771 0008 -2798Banco Westlb Do Brasil SA F 0061 0033 0101 0025 0841 0010 -1646Banco GE Capital SA F 0063 0031 0238 0044 0853 0010 -1548B Com Uruguai SA F 0074 0020 0226 0056 0833 0003 -51921S - State-owned bank N - National bank and F - Foreign bank

48

Table A10 Estimates of Lerner index and return to scale by bank - Model (5)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0043 0093 0012 0940 0007 -834Banrisul S 0054 0041 0083 0009 0949 0008 -668BEC S 0046 0020 0075 0014 0846 0009 -1719BRB S 0058 0032 0121 0017 0960 0002 -1607BB S 0056 0037 0087 0010 0981 0006 -321Caixa Economica Federal S 0061 0050 0156 0019 1044 0003 1282B da Amazonia SA S 0057 0016 0115 0023 0843 0008 -2023B do Estado Do Para SA S 0059 0027 0102 0020 0938 0004 -1608B do E Do Maranhao SA S 0052 0042 0064 0006 0939 0015 -418B do E Do Piauı SA - Bep S 0054 0029 0138 0025 0866 0004 -3097B do Estado De Sergipe SA S 0059 0024 0136 0020 0949 0004 -1404Nossa Caixa - N Banco SA S 0055 0036 0088 0013 0979 0004 -494Bradesco N 0056 0037 0108 0016 0918 0004 -2108Itau N 0058 0031 0213 0033 0894 0003 -3968Safra N 0052 0036 0086 0010 0881 0003 -4388Unibanco N 0053 0037 0085 0013 0892 0001 -7433Mercantil Do Brasil N 0057 0027 0086 0012 0943 0002 -2619BBM N 0075 0015 0292 0063 0784 0005 -447BMC N 0050 0029 0077 0012 0846 0003 -4648BMG N 0067 0017 0220 0051 0777 0003 -7116JMalucelli N 0049 0022 0083 0016 0718 0003 -8879PEBB N 0060 0017 0176 0044 0704 0008 -3743SS N 0059 0032 0223 0041 0798 0007 -2847Sofisa N 0055 0021 0112 0022 0804 0002 -9624BIC N 0060 0032 0238 0041 0853 0005 -2725Schahin N 0055 0028 0228 0038 0836 0006 -2575Stock N 0082 0019 0267 0068 0821 0006 -3063Pine N 0052 0022 0096 0018 0808 0004 -5392Socopa N 0055 0027 0113 0016 0889 0003 -3694Intercap N 0060 0023 0210 0037 0814 0006 -2856Indusval N 0062 0029 0245 0044 0857 0005 -3023Bonsucesso N 0053 0020 0113 0022 0781 0005 -3999Industrial do Brasil N 0051 0030 0084 0016 0808 0002 -9274Votorantim N 0052 0037 0130 0022 0816 0008 -2227Cacique N 0049 0024 0065 0012 0775 0005 -4632Inter Amex N 0052 0034 0067 0011 0837 0007 -2236Alfa N 0047 0041 0056 0004 0804 0002 -11448Rendimento N 0053 0022 0079 0011 0874 0008 -1549Bancoob N 0056 0050 0064 0005 0856 0003 -4874Original N 0087 0018 0288 0093 0728 0006 -4259Banco Intermedium SA N 0055 0027 0078 0019 0744 0006 -4047

Table A10 ndash Continue on next page

49

Table A10 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0217 0048 0763 0003 -7417Banco BBN SA N 0051 0026 0075 0014 0820 0012 -1504B Cooperativo Sicredi SA N 0051 0040 0061 0005 0876 0005 -2499B Cooperativo do Brasil SA N 0054 0043 0136 0019 0912 0006 -1445Banco Topazio SA N 0061 0034 0109 0026 0838 0006 -2897Banco Gerador SA N 0073 0052 0124 0026 0855 0008 -1918Banco Randon SA N 0120 0024 0327 0114 0785 0005 -4153Parana Banco SA N 0048 0026 0106 0020 0786 0008 -2732Banco Triangulo SA N 0055 0027 0111 0022 0834 0004 -4227Banco Guanabara SA N 0052 0024 0153 0024 0779 0004 -5589Banco Cedula SA N 0069 0012 0339 0062 0734 0003 -10232Banco Cacique SA N 0076 0027 0246 0076 0785 0016 -1317Banco Luso Brasileiro SA N 0067 0027 0207 0047 0852 0004 -3379Banco Pecunia SA N 0046 0038 0054 0006 0773 0003 -71Banco Zogbi SA N 0047 0037 0061 0010 0778 0001 -14931Banco Daycoval SA N 0054 0022 0126 0026 0782 0004 -5661Banco John Deere SA N 0056 0018 0129 0031 0756 0003 -8043Banco AJ Renner SA N 0053 0025 0080 0015 0829 0006 -2716ABN Amro F 0053 0038 0074 0012 0908 0002 -4751Chase F 0067 0014 0225 0047 0792 0008 -2693LLoyds F 0049 0025 0064 0012 0824 0003 -5227BankBoston F 0054 0037 0096 0020 0899 0006 -1701Santander Brasil F 0057 0033 0103 0019 0884 0008 -1511Citibank F 0059 0026 0154 0028 0871 0003 -4204BNL F 0052 0037 0097 0020 0840 0006 -28Sudameris F 0052 0045 0058 0005 0962 0011 -334Societe Generale F 0060 0023 0151 0031 0827 0006 -2924Europeu F 0050 0032 0066 0012 0849 0007 -2263ABC-Brasil F 0051 0025 0079 0014 0814 0003 -617Dresdner F 0080 0017 0276 0073 0816 0005 -3374AGF Braseg F 0050 0031 0093 0015 0796 0004 -4812HSBC F 0057 0043 0093 0011 0966 0006 -541Deutsche F 0066 0013 0155 0035 0858 0004 -3244BNP Paribas F 0050 0035 0067 0008 0822 0005 -3775Barclays F 0056 0024 0113 0025 0778 0007 -305Rabobank Int Brasil SA F 0057 0021 0163 0027 0842 0003 -5208B Nat de Paris Brasil SA F 0058 0022 0100 0029 0812 0006 -3343Ibibank SA - Banco Multiplo F 0057 0012 0099 0023 0780 0015 -1478Dresdner Bank - B Multiplo F 0087 0016 0244 0068 0770 0008 -2768Banco Westlb Do Brasil SA F 0063 0034 0106 0026 0841 0010 -1625Banco GE Capital SA F 0064 0032 0247 0046 0853 0010 -1522B Com Uruguai SA F 0073 0019 0191 0049 0833 0003 -50981S - State-owned bank N - National bank and F - Foreign bank

50

Table A11 Estimates of Lerner index and return to scale by bank - Model (6)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0036 0096 0015 0939 0007 -855Banrisul S 0050 0035 0098 0014 0938 0008 -82BEC S 0041 0019 0067 0012 0855 0009 -1644BRB S 0053 0029 0124 0018 0956 0002 -1996BB S 0051 0032 0088 0013 0954 0006 -807Caixa Economica Federal S 0054 0040 0094 0012 1014 0003 475B da Amazonia SA S 0053 0015 0103 0022 0846 0008 -205B do Estado Do Para SA S 0051 0028 0074 0013 0943 0004 -1319B do E Do Maranhao SA S 0041 0031 0059 0008 0950 0014 -346B do E Do Piauı SA - Bep S 0042 0028 0084 0012 0879 0004 -2727B do Estado De Sergipe SA S 0052 0022 0153 0022 0953 0003 -1377Nossa Caixa - N Banco SA S 0047 0032 0081 0014 0969 0004 -74Bradesco N 0052 0032 0097 0019 0898 0004 -2645Itau N 0054 0027 0190 0031 0877 0003 -4452Safra N 0049 0032 0100 0015 0872 0003 -5056Unibanco N 0043 0032 0067 0010 0878 0001 -8666Mercantil Do Brasil N 0053 0026 0087 0017 0938 0002 -3104BBM N 0066 0013 0251 0056 0792 0005 -4556BMC N 0041 0026 0069 0011 0850 0003 -4582BMG N 0067 0016 0228 0057 0781 0003 -6611JMalucelli N 0051 0022 0089 0017 0725 0003 -9344PEBB N 0046 0015 0157 0039 0728 0008 -3313SS N 0058 0025 0230 0046 0801 0007 -292Sofisa N 0053 0020 0119 0025 0809 0002 -8846BIC N 0060 0029 0262 0049 0852 0005 -2697Schahin N 0049 0025 0229 0040 0843 0006 -2523Stock N 0081 0017 0284 0072 0836 0005 -2986Pine N 0049 0021 0112 0019 0812 0004 -5267Socopa N 0050 0026 0095 0015 0900 0003 -3515Intercap N 0055 0021 0196 0035 0828 0006 -2899Indusval N 0061 0029 0262 0049 0863 0005 -2762Bonsucesso N 0052 0019 0123 0026 0791 0005 -3885Industrial do Brasil N 0046 0027 0088 0015 0816 0002 -8698Votorantim N 0051 0027 0139 0027 0813 0007 -262Cacique N 0039 0022 0050 0009 0784 0005 -4707Inter Amex N 0045 0027 0064 0012 0843 0006 -2493Alfa N 0044 0033 0068 0009 0805 0002 -12111Rendimento N 0050 0022 0073 0010 0883 0008 -1543Bancoob N 0066 0055 0072 0007 0856 0003 -4559Original N 0098 0020 0294 0094 0735 0006 -4509Banco Intermedium SA N 0057 0024 0085 0022 0756 0006 -4324

Table A11 ndash Continue on next page

51

Table A11 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0061 0017 0195 0048 0777 0003 -7233Banco BBN SA N 0042 0023 0059 0012 0831 0011 -1529B Cooperativo Sicredi SA N 0048 0035 0066 0009 0879 0005 -2672B Cooperativo do Brasil SA N 0046 0034 0119 0017 0917 0006 -1439Banco Topazio SA N 0070 0031 0129 0036 0853 0005 -2776Banco Gerador SA N 0086 0057 0148 0034 0867 0007 -1825Banco Randon SA N 0126 0028 0331 0114 0799 0005 -4136Parana Banco SA N 0039 0023 0082 0015 0798 0008 -2556Banco Triangulo SA N 0052 0025 0116 0025 0840 0004 -4363Banco Guanabara SA N 0048 0021 0100 0019 0792 0004 -5683Banco Cedula SA N 0067 0013 0356 0067 0749 0002 -10205Banco Cacique SA N 0067 0026 0232 0073 0792 0015 -1356Banco Luso Brasileiro SA N 0065 0025 0237 0052 0864 0004 -3163Banco Pecunia SA N 0037 0029 0045 0006 0786 0003 -7158Banco Zogbi SA N 0037 0027 0045 0007 0785 0002 -13921Banco Daycoval SA N 0053 0020 0120 0031 0787 0003 -6088Banco John Deere SA N 0043 0017 0099 0022 0764 0003 -8346Banco AJ Renner SA N 0050 0025 0080 0013 0840 0006 -2706ABN Amro F 0043 0035 0067 0008 0894 0002 -6685Chase F 0059 0014 0189 0040 0803 0007 -2772LLoyds F 0039 0021 0055 0012 0824 0003 -5536BankBoston F 0044 0029 0075 0015 0890 0006 -1965Santander Brasil F 0054 0028 0107 0024 0871 0008 -1694Citibank F 0054 0023 0133 0026 0863 0003 -4787BNL F 0042 0028 0078 0018 0843 0005 -2998Sudameris F 0041 0036 0052 0006 0948 0010 -491Societe Generale F 0054 0020 0118 0025 0834 0006 -2716Europeu F 0038 0029 0049 0008 0856 0006 -2239ABC-Brasil F 0046 0028 0084 0014 0816 0003 -6111Dresdner F 0063 0015 0239 0061 0823 0005 -3888AGF Braseg F 0047 0027 0074 0014 0807 0004 -4477HSBC F 0054 0032 0109 0018 0950 0006 -823Deutsche F 0058 0013 0122 0028 0863 0004 -305BNP Paribas F 0051 0032 0070 0011 0822 0004 -4145Barclays F 0064 0024 0128 0029 0802 0005 -4051Rabobank Int Brasil SA F 0051 0019 0130 0021 0846 0003 -4992B Nat de Paris Brasil SA F 0043 0019 0070 0019 0819 0005 -3429Ibibank SA - Banco Multiplo F 0049 0010 0083 0020 0785 0013 -161Dresdner Bank - B Multiplo F 0087 0016 0261 0066 0783 0007 -2901Banco Westlb Do Brasil SA F 0051 0030 0082 0019 0850 0009 -1643Banco GE Capital SA F 0053 0028 0239 0044 0859 0009 -1544B Com Uruguai SA F 0071 0017 0217 0054 0845 0003 -48451S - State-owned bank N - National bank and F - Foreign bank

52

Seacuterie de Textos para Discussatildeo do Curso de Ciecircncias Econocircmicas ndash FACEUFG ndash TD [078]

EDITORIAL FACE ndash Faculdade de Administraccedilatildeo Ciecircncias Contaacutebeis e Ciecircncias Econocircmicas Curso de Ciecircncias Econocircmicas Direccedilatildeo FACE Prof Moiseacutes Ferreira da Cunha Vice-Direccedilatildeo FACE Profordf Andreacutea Freire de Lucena Coordenaccedilatildeo do Curso de Ciecircncias Econocircmicas Prof Tiago Camarinha Lopes NEPEC ndash Nuacutecleo de Estudos e Pesquisas Econocircmicas Coordenaccedilatildeo Prof Seacutergio Fornazier Meyrelles Filho SEacuteRIE DE TEXTOS PARA DISCUSSAtildeO DO CURSO DE CIEcircNCIAS ECONOcircMICAS DA UFG Coordenaccedilatildeo e Equipe de Editoraccedilatildeo Prof Sandro Eduardo Monsueto Adriana Moura Guimaratildees Matheus Henrique de Arauacutejo Dutra

Endereccedilo Campus Samambaia Preacutedio da FACE ndash Rodovia GoiacircniaNova Veneza km 0 ndash CEP 74690-900 Goiacircnia ndash GO Tel (62) 3521 ndash 1390 URL httpwwwfaceufgbreconomia Publicaccedilatildeo cujo objetivo eacute divulgar resultados de estudos que contam com a participaccedilatildeo de pesquisadores do NEPEC As opiniotildees contidas nesta publicaccedilatildeo satildeo de inteira responsabilidade do(s) autor(es) natildeo representando necessariamente o ponto de vista do NEPEC ou da FACEUFG Eacute permitida a reproduccedilatildeo desde que citada a fonte

Page 45: 1(3(& )$&( 8)* · The Dark Side of Prudential MeasuresI Paulo R. Scalco a, Benjamin M. Tabak1, Anderson M. Teixeira aFaculty of Management, Accounting and Economics, Federal University

Table A7 Estimates of Lerner index and return to scale by bank - Model (2)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0049 0032 0085 0016 0944 0008 -716Banrisul S 0049 0032 0106 0017 0939 0008 -75BEC S 0032 0016 0046 0008 0860 0009 -1489BRB S 0049 0030 0112 0017 0961 0002 -1681BB S 0049 0032 0091 0016 0948 0006 -845Caixa Economica Federal S 0052 0034 0081 0014 1012 0003 382B da Amazonia SA S 0053 0015 0140 0028 0847 0008 -1922B do Estado Do Para SA S 0046 0029 0063 0009 0952 0005 -963B do Est do Maranhao SA S 0036 0029 0045 0005 0963 0016 -235B do Est do Piauı SA - Bep S 0036 0023 0071 0011 0888 0005 -2314B do Estado De Sergipe SA S 0050 0020 0155 0024 0962 0004 -1043Nossa Caixa - N Banco SA S 0039 0027 0074 0011 0972 0005 -601Bradesco N 0050 0028 0116 0023 0890 0004 -2618Itau N 0052 0024 0222 0037 0869 0003 -4269Safra N 0046 0028 0100 0017 0867 0003 -5042Unibanco N 0035 0028 0054 0007 0873 0001 -8511Mercantil Do Brasil N 0051 0029 0093 0019 0941 0002 -2837BBM N 0063 0012 0213 0048 0790 0005 -4494BMC N 0034 0023 0049 0007 0851 0003 -4266BMG N 0065 0015 0233 0057 0776 0004 -6135JMalucelli N 0052 0018 0080 0016 0720 0003 -9566PEBB N 0037 0014 0108 0025 0732 0009 -3086SS N 0056 0024 0236 0046 0797 0007 -2849Sofisa N 0052 0018 0107 0028 0808 0002 -8115BIC N 0057 0026 0259 0050 0850 0006 -2531Schahin N 0047 0022 0225 0041 0845 0007 -2359Stock N 0078 0017 0287 0071 0843 0006 -2782Pine N 0048 0018 0114 0023 0811 0004 -4973Socopa N 0050 0022 0136 0024 0908 0003 -3089Intercap N 0051 0019 0133 0031 0832 0006 -2759Indusval N 0061 0023 0267 0052 0866 0006 -2437Bonsucesso N 0050 0017 0109 0026 0791 0006 -3655Industrial do Brasil N 0044 0024 0079 0015 0816 0002 -8095Votorantim N 0048 0025 0120 0026 0807 0007 -2721Cacique N 0033 0020 0039 0006 0782 0005 -4597Inter Amex N 0035 0025 0045 0007 0844 0006 -2419Alfa N 0042 0029 0069 0013 0801 0002 -12139Rendimento N 0049 0019 0077 0015 0889 0008 -1394Bancoob N 0065 0057 0073 0006 0855 0003 -4199Original N 0099 0019 0299 0096 0732 0006 -4473Banco Intermedium SA N 0062 0032 0081 0019 0754 0006 -4393

Table A7 ndash Continue on next page

43

Table A7 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0059 0016 0239 0051 0778 0003 -6944Banco BBN SA N 0035 0020 0053 0009 0834 0011 -1466B Cooperativo Sicredi SA N 0045 0032 0070 0011 0881 0005 -2581B Cooperativo do Brasil SA N 0045 0029 0147 0025 0922 0006 -1274Banco Topazio SA N 0076 0043 0138 0038 0861 0005 -2569Banco Gerador SA N 0089 0054 0153 0037 0874 0008 -1645Banco Randon SA N 0122 0029 0335 0113 0803 0005 -388Parana Banco SA N 0033 0020 0062 0011 0800 0009 -234Banco Triangulo SA N 0052 0022 0105 0027 0841 0004 -4148Banco Guanabara SA N 0046 0019 0091 0020 0793 0004 -5561Banco Cedula SA N 0062 0011 0359 0067 0749 0003 -9911Banco Cacique SA N 0049 0020 0157 0048 0791 0016 -1315Banco Luso Brasileiro SA N 0066 0022 0241 0055 0870 0005 -2851Banco Pecunia SA N 0032 0027 0036 0003 0787 0003 -6876Banco Zogbi SA N 0032 0026 0037 0005 0784 0002 -13006Banco Daycoval SA N 0053 0019 0139 0036 0784 0004 -6065Banco John Deere SA N 0035 0016 0073 0016 0761 0003 -8278Banco AJ Renner SA N 0047 0021 0083 0015 0844 0006 -2553ABN Amro F 0035 0027 0047 0006 0889 0002 -7231Chase F 0054 0013 0157 0033 0804 0007 -2702LLoyds F 0033 0020 0043 0008 0821 0003 -5429BankBoston F 0036 0026 0060 0011 0888 0006 -1917Santander Brasil F 0055 0025 0115 0030 0864 0008 -1647Citibank F 0051 0020 0132 0025 0860 0003 -4735BNL F 0036 0026 0062 0012 0843 0005 -2959Sudameris F 0036 0031 0040 0004 0949 0011 -468Societe Generale F 0051 0018 0104 0024 0835 0007 -2454Europeu F 0034 0025 0041 0006 0859 0007 -2076ABC-Brasil F 0043 0026 0086 0015 0813 0003 -5797Dresdner F 0050 0014 0190 0046 0824 0004 -3975AGF Braseg F 0044 0024 0068 0014 0810 0005 -4109HSBC F 0052 0031 0110 0021 0948 0007 -776Deutsche F 0054 0012 0166 0030 0866 0005 -2754BNP Paribas F 0049 0028 0073 0013 0818 0004 -4092Barclays F 0065 0028 0121 0027 0811 0005 -4028Rabobank Int Brasil SA F 0047 0017 0102 0017 0845 0003 -4605B Nat de Paris Brasil SA F 0036 0017 0054 0013 0819 0005 -3304Ibibank SA - Banco Multiplo F 0043 0010 0114 0025 0782 0013 -1623Dresdner Bank - B Multiplo F 0096 0015 0270 0076 0785 0007 -2924Banco Westlb Do Brasil SA F 0041 0026 0062 0013 0853 0010 -154Banco GE Capital SA F 0054 0026 0253 0049 0862 0010 -1444B Com Uruguai SA F 0070 0017 0220 0058 0849 0003 -4471S - State-owned bank N - National bank and F - Foreign bank

44

Table A8 Estimates of Lerner index and return to scale by bank - Model (3)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0034 0090 0016 0941 0008 -772Banrisul S 0051 0032 0108 0016 0938 0008 -772BEC S 0035 0018 0051 0009 0856 0009 -1562BRB S 0052 0032 0122 0018 0958 0002 -1793BB S 0052 0035 0085 0015 0951 0006 -809Caixa Economica Federal S 0054 0039 0098 0014 1015 0003 465B da Amazonia SA S 0053 0014 0113 0024 0845 0008 -1977B do Estado Do Para SA S 0049 0028 0071 0010 0947 0005 -1117B do E do Maranhao SA S 0041 0032 0059 0008 0957 0015 -285B do E do Piauı SA - Bep S 0041 0028 0086 0014 0882 0005 -2518B do Estado De Sergipe SA S 0052 0021 0145 0022 0957 0004 -1182Nossa Caixa - N Banco SA S 0045 0029 0081 0015 0971 0005 -651Bradesco N 0052 0029 0101 0021 0893 0004 -2614Itau N 0054 0025 0203 0034 0872 0003 -4328Safra N 0048 0029 0093 0015 0869 0003 -5008Unibanco N 0041 0028 0067 0010 0874 0001 -8514Mercantil Do Brasil N 0053 0026 0095 0018 0939 0002 -29BBM N 0067 0013 0250 0056 0789 0005 -4501BMC N 0038 0024 0069 0010 0849 0003 -4408BMG N 0067 0015 0233 0058 0776 0004 -6374JMalucelli N 0052 0022 0087 0016 0720 0003 -9426PEBB N 0045 0014 0158 0040 0727 0009 -3192SS N 0057 0025 0231 0046 0797 0007 -287Sofisa N 0053 0018 0116 0026 0807 0002 -8444BIC N 0059 0030 0250 0049 0850 0006 -2596Schahin N 0048 0023 0220 0038 0842 0007 -2424Stock N 0083 0017 0304 0077 0838 0006 -2873Pine N 0049 0019 0105 0020 0810 0004 -5103Socopa N 0050 0026 0111 0018 0903 0003 -3253Intercap N 0055 0020 0196 0036 0828 0006 -283Indusval N 0062 0029 0282 0052 0863 0005 -2588Bonsucesso N 0051 0017 0118 0025 0789 0006 -3771Industrial do Brasil N 0046 0025 0086 0015 0815 0002 -8341Votorantim N 0050 0027 0128 0027 0809 0007 -2664Cacique N 0037 0020 0048 0009 0781 0005 -4645Inter Amex N 0039 0026 0058 0009 0842 0006 -2468Alfa N 0044 0031 0072 0011 0801 0002 -11998Rendimento N 0049 0022 0078 0011 0885 0008 -1463Bancoob N 0066 0057 0077 0007 0854 0003 -4342Original N 0102 0019 0301 0096 0730 0006 -4526Banco Intermedium SA N 0059 0027 0083 0020 0752 0006 -4354

Table A8 ndash Continue on next page

45

Table A8 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0017 0217 0054 0776 0003 -7084Banco BBN SA N 0038 0022 0058 0010 0831 0011 -1492B Cooperativo Sicredi SA N 0047 0035 0071 0010 0879 0005 -259B Cooperativo do Brasil SA N 0046 0035 0128 0020 0919 0006 -1339Banco Topazio SA N 0075 0036 0153 0041 0855 0005 -2657Banco Gerador SA N 0091 0057 0144 0034 0869 0008 -173Banco Randon SA N 0124 0029 0332 0112 0799 0005 -4023Parana Banco SA N 0036 0021 0071 0012 0797 0008 -2452Banco Triangulo SA N 0053 0023 0115 0027 0839 0004 -4256Banco Guanabara SA N 0047 0020 0100 0019 0790 0004 -561Banco Cedula SA N 0066 0012 0362 0068 0747 0003 -10082Banco Cacique SA N 0063 0026 0231 0074 0789 0016 -1336Banco Luso Brasileiro SA N 0066 0026 0249 0053 0865 0005 -2985Banco Pecunia SA N 0034 0029 0041 0004 0784 0003 -7038Banco Zogbi SA N 0036 0027 0046 0006 0782 0002 -13399Banco Daycoval SA N 0054 0019 0131 0034 0784 0004 -607Banco John Deere SA N 0039 0015 0083 0018 0761 0003 -8316Banco AJ Renner SA N 0049 0024 0073 0013 0840 0006 -2621ABN Amro F 0041 0030 0066 0009 0890 0002 -6866Chase F 0059 0013 0173 0039 0801 0007 -2733LLoyds F 0038 0021 0055 0010 0821 0003 -5484BankBoston F 0040 0028 0063 0012 0888 0006 -1931Santander Brasil F 0056 0028 0107 0027 0866 0008 -1663Citibank F 0052 0022 0123 0023 0860 0003 -4735BNL F 0039 0028 0063 0014 0841 0005 -2966Sudameris F 0041 0036 0052 0006 0948 0011 -473Societe Generale F 0052 0020 0103 0022 0833 0006 -2579Europeu F 0038 0030 0049 0007 0856 0007 -2153ABC-Brasil F 0046 0029 0079 0014 0813 0003 -5935Dresdner F 0055 0014 0212 0052 0822 0005 -3913AGF Braseg F 0046 0027 0071 0014 0806 0005 -4276HSBC F 0053 0032 0101 0019 0949 0007 -784Deutsche F 0058 0013 0141 0029 0863 0005 -2878BNP Paribas F 0051 0030 0074 0012 0818 0004 -4118Barclays F 0066 0025 0130 0030 0805 0005 -4123Rabobank Int Brasil SA F 0049 0019 0109 0018 0844 0003 -4752B Nat de Paris Brasil SA F 0041 0019 0069 0018 0817 0005 -3368Ibibank SA - Banco Multiplo F 0046 0010 0095 0021 0781 0014 -1617Dresdner Bank - B Multiplo F 0093 0017 0282 0072 0782 0008 -2899Banco Westlb Do Brasil SA F 0044 0027 0069 0015 0850 0009 -1591Banco GE Capital SA F 0055 0026 0249 0046 0859 0009 -1489B Com Uruguai SA F 0071 0017 0228 0056 0845 0003 -46241S - State-owned bank N - National bank and F - Foreign bank

46

Table A9 Estimates of Lerner index and return to scale by bank - Model (4)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0054 0041 0078 0011 0939 0007 -873Banrisul S 0055 0040 0106 0014 0948 0008 -692BEC S 0046 0020 0072 0014 0846 0009 -1746BRB S 0057 0032 0094 0016 0959 0002 -1673BB S 0057 0038 0095 0014 0981 0006 -33Caixa Economica Federal S 0061 0049 0165 0021 1042 0003 1249B da Amazonia SA S 0056 0015 0117 0022 0844 0008 -2047B do Estado Do Para SA S 0059 0025 0103 0020 0936 0004 -1701B do E Do Maranhao SA S 0052 0044 0062 0005 0936 0014 -448B do E Do Piauı SA - Bep S 0054 0029 0147 0028 0865 0004 -3201B do Estado De Sergipe SA S 0061 0023 0168 0026 0947 0004 -1484Nossa Caixa - N Banco SA S 0054 0035 0085 0012 0977 0004 -547Bradesco N 0056 0036 0107 0017 0919 0004 -2123Itau N 0058 0030 0212 0032 0896 0003 -3979Safra N 0052 0035 0107 0013 0882 0003 -445Unibanco N 0052 0035 0082 0013 0892 0001 -7446Mercantil Do Brasil N 0057 0027 0093 0015 0942 0002 -2687BBM N 0075 0015 0294 0064 0784 0005 -4512BMC N 0050 0029 0074 0011 0846 0003 -472BMG N 0065 0016 0202 0047 0779 0003 -7192JMalucelli N 0048 0022 0071 0014 0720 0003 -8923PEBB N 0061 0016 0172 0044 0704 0008 -382SS N 0056 0033 0213 0037 0799 0007 -2875Sofisa N 0053 0020 0087 0019 0805 0002 -9731BIC N 0061 0033 0269 0048 0854 0005 -2768Schahin N 0053 0027 0205 0034 0836 0006 -2627Stock N 0081 0020 0265 0068 0820 0006 -3122Pine N 0052 0022 0118 0021 0808 0004 -5467Socopa N 0054 0026 0114 0016 0888 0003 -3785Intercap N 0057 0023 0203 0035 0815 0006 -2877Indusval N 0062 0029 0239 0043 0857 0005 -3085Bonsucesso N 0052 0019 0088 0018 0782 0005 -403Industrial do Brasil N 0050 0030 0076 0015 0809 0002 -9427Votorantim N 0051 0036 0102 0017 0817 0008 -2222Cacique N 0050 0023 0067 0013 0776 0005 -4659Inter Amex N 0052 0035 0064 0009 0837 0007 -2226Alfa N 0048 0039 0071 0007 0805 0002 -11484Rendimento N 0052 0022 0076 0013 0874 0008 -1571Bancoob N 0057 0045 0071 0011 0855 0003 -5022Original N 0094 0017 0278 0090 0730 0006 -4242Banco Intermedium SA N 0049 0027 0065 0014 0746 0006 -4054

Table A9 ndash Continue on next page

47

Table A9 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0019 0220 0050 0764 0003 -7516Banco BBN SA N 0050 0027 0072 0013 0819 0012 -1529B Cooperativo Sicredi SA N 0051 0041 0068 0006 0875 0005 -2551B Cooperativo do Brasil SA N 0053 0044 0134 0018 0910 0006 -151Banco Topazio SA N 0066 0035 0128 0036 0837 0005 -2981Banco Gerador SA N 0082 0045 0157 0043 0854 0007 -1967Banco Randon SA N 0106 0026 0312 0105 0786 0005 -4204Parana Banco SA N 0048 0025 0102 0018 0787 0008 -2768Banco Triangulo SA N 0054 0027 0088 0021 0834 0004 -427Banco Guanabara SA N 0051 0023 0161 0025 0780 0004 -5659Banco Cedula SA N 0069 0012 0360 0065 0735 0003 -1028Banco Cacique SA N 0073 0027 0240 0075 0786 0016 -1327Banco Luso Brasileiro SA N 0065 0026 0242 0047 0852 0004 -346Banco Pecunia SA N 0045 0037 0056 0006 0773 0003 -7139Banco Zogbi SA N 0048 0036 0064 0010 0779 0001 -15057Banco Daycoval SA N 0055 0022 0126 0030 0784 0004 -568Banco John Deere SA N 0056 0018 0125 0031 0757 0003 -8084Banco AJ Renner SA N 0051 0025 0077 0013 0829 0006 -2763ABN Amro F 0053 0038 0074 0013 0909 0002 -4803Chase F 0066 0014 0220 0046 0793 0008 -2711LLoyds F 0050 0026 0060 0011 0825 0003 -5323BankBoston F 0054 0038 0092 0018 0899 0006 -1734Santander Brasil F 0056 0033 0098 0019 0885 0007 -1529Citibank F 0059 0025 0145 0030 0872 0003 -421BNL F 0052 0039 0091 0018 0840 0006 -2854Sudameris F 0053 0046 0062 0005 0961 0011 -352Societe Generale F 0058 0023 0144 0028 0827 0006 -2968Europeu F 0052 0031 0069 0012 0849 0007 -23ABC-Brasil F 0051 0028 0091 0015 0815 0003 -6225Dresdner F 0078 0017 0271 0071 0816 0005 -339AGF Braseg F 0050 0030 0094 0015 0797 0004 -4873HSBC F 0057 0045 0116 0016 0966 0006 -562Deutsche F 0066 0013 0151 0034 0858 0004 -3316BNP Paribas F 0050 0036 0071 0010 0823 0005 -3772Barclays F 0057 0024 0102 0025 0777 0007 -3003Rabobank Int Brasil SA F 0057 0021 0157 0026 0842 0003 -5266B Nat de Paris Brasil SA F 0059 0023 0102 0030 0812 0006 -3387Ibibank SA - Banco Multiplo F 0056 0012 0100 0023 0781 0015 -148Dresdner Bank - B Multiplo F 0084 0016 0237 0064 0771 0008 -2798Banco Westlb Do Brasil SA F 0061 0033 0101 0025 0841 0010 -1646Banco GE Capital SA F 0063 0031 0238 0044 0853 0010 -1548B Com Uruguai SA F 0074 0020 0226 0056 0833 0003 -51921S - State-owned bank N - National bank and F - Foreign bank

48

Table A10 Estimates of Lerner index and return to scale by bank - Model (5)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0043 0093 0012 0940 0007 -834Banrisul S 0054 0041 0083 0009 0949 0008 -668BEC S 0046 0020 0075 0014 0846 0009 -1719BRB S 0058 0032 0121 0017 0960 0002 -1607BB S 0056 0037 0087 0010 0981 0006 -321Caixa Economica Federal S 0061 0050 0156 0019 1044 0003 1282B da Amazonia SA S 0057 0016 0115 0023 0843 0008 -2023B do Estado Do Para SA S 0059 0027 0102 0020 0938 0004 -1608B do E Do Maranhao SA S 0052 0042 0064 0006 0939 0015 -418B do E Do Piauı SA - Bep S 0054 0029 0138 0025 0866 0004 -3097B do Estado De Sergipe SA S 0059 0024 0136 0020 0949 0004 -1404Nossa Caixa - N Banco SA S 0055 0036 0088 0013 0979 0004 -494Bradesco N 0056 0037 0108 0016 0918 0004 -2108Itau N 0058 0031 0213 0033 0894 0003 -3968Safra N 0052 0036 0086 0010 0881 0003 -4388Unibanco N 0053 0037 0085 0013 0892 0001 -7433Mercantil Do Brasil N 0057 0027 0086 0012 0943 0002 -2619BBM N 0075 0015 0292 0063 0784 0005 -447BMC N 0050 0029 0077 0012 0846 0003 -4648BMG N 0067 0017 0220 0051 0777 0003 -7116JMalucelli N 0049 0022 0083 0016 0718 0003 -8879PEBB N 0060 0017 0176 0044 0704 0008 -3743SS N 0059 0032 0223 0041 0798 0007 -2847Sofisa N 0055 0021 0112 0022 0804 0002 -9624BIC N 0060 0032 0238 0041 0853 0005 -2725Schahin N 0055 0028 0228 0038 0836 0006 -2575Stock N 0082 0019 0267 0068 0821 0006 -3063Pine N 0052 0022 0096 0018 0808 0004 -5392Socopa N 0055 0027 0113 0016 0889 0003 -3694Intercap N 0060 0023 0210 0037 0814 0006 -2856Indusval N 0062 0029 0245 0044 0857 0005 -3023Bonsucesso N 0053 0020 0113 0022 0781 0005 -3999Industrial do Brasil N 0051 0030 0084 0016 0808 0002 -9274Votorantim N 0052 0037 0130 0022 0816 0008 -2227Cacique N 0049 0024 0065 0012 0775 0005 -4632Inter Amex N 0052 0034 0067 0011 0837 0007 -2236Alfa N 0047 0041 0056 0004 0804 0002 -11448Rendimento N 0053 0022 0079 0011 0874 0008 -1549Bancoob N 0056 0050 0064 0005 0856 0003 -4874Original N 0087 0018 0288 0093 0728 0006 -4259Banco Intermedium SA N 0055 0027 0078 0019 0744 0006 -4047

Table A10 ndash Continue on next page

49

Table A10 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0217 0048 0763 0003 -7417Banco BBN SA N 0051 0026 0075 0014 0820 0012 -1504B Cooperativo Sicredi SA N 0051 0040 0061 0005 0876 0005 -2499B Cooperativo do Brasil SA N 0054 0043 0136 0019 0912 0006 -1445Banco Topazio SA N 0061 0034 0109 0026 0838 0006 -2897Banco Gerador SA N 0073 0052 0124 0026 0855 0008 -1918Banco Randon SA N 0120 0024 0327 0114 0785 0005 -4153Parana Banco SA N 0048 0026 0106 0020 0786 0008 -2732Banco Triangulo SA N 0055 0027 0111 0022 0834 0004 -4227Banco Guanabara SA N 0052 0024 0153 0024 0779 0004 -5589Banco Cedula SA N 0069 0012 0339 0062 0734 0003 -10232Banco Cacique SA N 0076 0027 0246 0076 0785 0016 -1317Banco Luso Brasileiro SA N 0067 0027 0207 0047 0852 0004 -3379Banco Pecunia SA N 0046 0038 0054 0006 0773 0003 -71Banco Zogbi SA N 0047 0037 0061 0010 0778 0001 -14931Banco Daycoval SA N 0054 0022 0126 0026 0782 0004 -5661Banco John Deere SA N 0056 0018 0129 0031 0756 0003 -8043Banco AJ Renner SA N 0053 0025 0080 0015 0829 0006 -2716ABN Amro F 0053 0038 0074 0012 0908 0002 -4751Chase F 0067 0014 0225 0047 0792 0008 -2693LLoyds F 0049 0025 0064 0012 0824 0003 -5227BankBoston F 0054 0037 0096 0020 0899 0006 -1701Santander Brasil F 0057 0033 0103 0019 0884 0008 -1511Citibank F 0059 0026 0154 0028 0871 0003 -4204BNL F 0052 0037 0097 0020 0840 0006 -28Sudameris F 0052 0045 0058 0005 0962 0011 -334Societe Generale F 0060 0023 0151 0031 0827 0006 -2924Europeu F 0050 0032 0066 0012 0849 0007 -2263ABC-Brasil F 0051 0025 0079 0014 0814 0003 -617Dresdner F 0080 0017 0276 0073 0816 0005 -3374AGF Braseg F 0050 0031 0093 0015 0796 0004 -4812HSBC F 0057 0043 0093 0011 0966 0006 -541Deutsche F 0066 0013 0155 0035 0858 0004 -3244BNP Paribas F 0050 0035 0067 0008 0822 0005 -3775Barclays F 0056 0024 0113 0025 0778 0007 -305Rabobank Int Brasil SA F 0057 0021 0163 0027 0842 0003 -5208B Nat de Paris Brasil SA F 0058 0022 0100 0029 0812 0006 -3343Ibibank SA - Banco Multiplo F 0057 0012 0099 0023 0780 0015 -1478Dresdner Bank - B Multiplo F 0087 0016 0244 0068 0770 0008 -2768Banco Westlb Do Brasil SA F 0063 0034 0106 0026 0841 0010 -1625Banco GE Capital SA F 0064 0032 0247 0046 0853 0010 -1522B Com Uruguai SA F 0073 0019 0191 0049 0833 0003 -50981S - State-owned bank N - National bank and F - Foreign bank

50

Table A11 Estimates of Lerner index and return to scale by bank - Model (6)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0036 0096 0015 0939 0007 -855Banrisul S 0050 0035 0098 0014 0938 0008 -82BEC S 0041 0019 0067 0012 0855 0009 -1644BRB S 0053 0029 0124 0018 0956 0002 -1996BB S 0051 0032 0088 0013 0954 0006 -807Caixa Economica Federal S 0054 0040 0094 0012 1014 0003 475B da Amazonia SA S 0053 0015 0103 0022 0846 0008 -205B do Estado Do Para SA S 0051 0028 0074 0013 0943 0004 -1319B do E Do Maranhao SA S 0041 0031 0059 0008 0950 0014 -346B do E Do Piauı SA - Bep S 0042 0028 0084 0012 0879 0004 -2727B do Estado De Sergipe SA S 0052 0022 0153 0022 0953 0003 -1377Nossa Caixa - N Banco SA S 0047 0032 0081 0014 0969 0004 -74Bradesco N 0052 0032 0097 0019 0898 0004 -2645Itau N 0054 0027 0190 0031 0877 0003 -4452Safra N 0049 0032 0100 0015 0872 0003 -5056Unibanco N 0043 0032 0067 0010 0878 0001 -8666Mercantil Do Brasil N 0053 0026 0087 0017 0938 0002 -3104BBM N 0066 0013 0251 0056 0792 0005 -4556BMC N 0041 0026 0069 0011 0850 0003 -4582BMG N 0067 0016 0228 0057 0781 0003 -6611JMalucelli N 0051 0022 0089 0017 0725 0003 -9344PEBB N 0046 0015 0157 0039 0728 0008 -3313SS N 0058 0025 0230 0046 0801 0007 -292Sofisa N 0053 0020 0119 0025 0809 0002 -8846BIC N 0060 0029 0262 0049 0852 0005 -2697Schahin N 0049 0025 0229 0040 0843 0006 -2523Stock N 0081 0017 0284 0072 0836 0005 -2986Pine N 0049 0021 0112 0019 0812 0004 -5267Socopa N 0050 0026 0095 0015 0900 0003 -3515Intercap N 0055 0021 0196 0035 0828 0006 -2899Indusval N 0061 0029 0262 0049 0863 0005 -2762Bonsucesso N 0052 0019 0123 0026 0791 0005 -3885Industrial do Brasil N 0046 0027 0088 0015 0816 0002 -8698Votorantim N 0051 0027 0139 0027 0813 0007 -262Cacique N 0039 0022 0050 0009 0784 0005 -4707Inter Amex N 0045 0027 0064 0012 0843 0006 -2493Alfa N 0044 0033 0068 0009 0805 0002 -12111Rendimento N 0050 0022 0073 0010 0883 0008 -1543Bancoob N 0066 0055 0072 0007 0856 0003 -4559Original N 0098 0020 0294 0094 0735 0006 -4509Banco Intermedium SA N 0057 0024 0085 0022 0756 0006 -4324

Table A11 ndash Continue on next page

51

Table A11 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0061 0017 0195 0048 0777 0003 -7233Banco BBN SA N 0042 0023 0059 0012 0831 0011 -1529B Cooperativo Sicredi SA N 0048 0035 0066 0009 0879 0005 -2672B Cooperativo do Brasil SA N 0046 0034 0119 0017 0917 0006 -1439Banco Topazio SA N 0070 0031 0129 0036 0853 0005 -2776Banco Gerador SA N 0086 0057 0148 0034 0867 0007 -1825Banco Randon SA N 0126 0028 0331 0114 0799 0005 -4136Parana Banco SA N 0039 0023 0082 0015 0798 0008 -2556Banco Triangulo SA N 0052 0025 0116 0025 0840 0004 -4363Banco Guanabara SA N 0048 0021 0100 0019 0792 0004 -5683Banco Cedula SA N 0067 0013 0356 0067 0749 0002 -10205Banco Cacique SA N 0067 0026 0232 0073 0792 0015 -1356Banco Luso Brasileiro SA N 0065 0025 0237 0052 0864 0004 -3163Banco Pecunia SA N 0037 0029 0045 0006 0786 0003 -7158Banco Zogbi SA N 0037 0027 0045 0007 0785 0002 -13921Banco Daycoval SA N 0053 0020 0120 0031 0787 0003 -6088Banco John Deere SA N 0043 0017 0099 0022 0764 0003 -8346Banco AJ Renner SA N 0050 0025 0080 0013 0840 0006 -2706ABN Amro F 0043 0035 0067 0008 0894 0002 -6685Chase F 0059 0014 0189 0040 0803 0007 -2772LLoyds F 0039 0021 0055 0012 0824 0003 -5536BankBoston F 0044 0029 0075 0015 0890 0006 -1965Santander Brasil F 0054 0028 0107 0024 0871 0008 -1694Citibank F 0054 0023 0133 0026 0863 0003 -4787BNL F 0042 0028 0078 0018 0843 0005 -2998Sudameris F 0041 0036 0052 0006 0948 0010 -491Societe Generale F 0054 0020 0118 0025 0834 0006 -2716Europeu F 0038 0029 0049 0008 0856 0006 -2239ABC-Brasil F 0046 0028 0084 0014 0816 0003 -6111Dresdner F 0063 0015 0239 0061 0823 0005 -3888AGF Braseg F 0047 0027 0074 0014 0807 0004 -4477HSBC F 0054 0032 0109 0018 0950 0006 -823Deutsche F 0058 0013 0122 0028 0863 0004 -305BNP Paribas F 0051 0032 0070 0011 0822 0004 -4145Barclays F 0064 0024 0128 0029 0802 0005 -4051Rabobank Int Brasil SA F 0051 0019 0130 0021 0846 0003 -4992B Nat de Paris Brasil SA F 0043 0019 0070 0019 0819 0005 -3429Ibibank SA - Banco Multiplo F 0049 0010 0083 0020 0785 0013 -161Dresdner Bank - B Multiplo F 0087 0016 0261 0066 0783 0007 -2901Banco Westlb Do Brasil SA F 0051 0030 0082 0019 0850 0009 -1643Banco GE Capital SA F 0053 0028 0239 0044 0859 0009 -1544B Com Uruguai SA F 0071 0017 0217 0054 0845 0003 -48451S - State-owned bank N - National bank and F - Foreign bank

52

Seacuterie de Textos para Discussatildeo do Curso de Ciecircncias Econocircmicas ndash FACEUFG ndash TD [078]

EDITORIAL FACE ndash Faculdade de Administraccedilatildeo Ciecircncias Contaacutebeis e Ciecircncias Econocircmicas Curso de Ciecircncias Econocircmicas Direccedilatildeo FACE Prof Moiseacutes Ferreira da Cunha Vice-Direccedilatildeo FACE Profordf Andreacutea Freire de Lucena Coordenaccedilatildeo do Curso de Ciecircncias Econocircmicas Prof Tiago Camarinha Lopes NEPEC ndash Nuacutecleo de Estudos e Pesquisas Econocircmicas Coordenaccedilatildeo Prof Seacutergio Fornazier Meyrelles Filho SEacuteRIE DE TEXTOS PARA DISCUSSAtildeO DO CURSO DE CIEcircNCIAS ECONOcircMICAS DA UFG Coordenaccedilatildeo e Equipe de Editoraccedilatildeo Prof Sandro Eduardo Monsueto Adriana Moura Guimaratildees Matheus Henrique de Arauacutejo Dutra

Endereccedilo Campus Samambaia Preacutedio da FACE ndash Rodovia GoiacircniaNova Veneza km 0 ndash CEP 74690-900 Goiacircnia ndash GO Tel (62) 3521 ndash 1390 URL httpwwwfaceufgbreconomia Publicaccedilatildeo cujo objetivo eacute divulgar resultados de estudos que contam com a participaccedilatildeo de pesquisadores do NEPEC As opiniotildees contidas nesta publicaccedilatildeo satildeo de inteira responsabilidade do(s) autor(es) natildeo representando necessariamente o ponto de vista do NEPEC ou da FACEUFG Eacute permitida a reproduccedilatildeo desde que citada a fonte

Page 46: 1(3(& )$&( 8)* · The Dark Side of Prudential MeasuresI Paulo R. Scalco a, Benjamin M. Tabak1, Anderson M. Teixeira aFaculty of Management, Accounting and Economics, Federal University

Table A7 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0059 0016 0239 0051 0778 0003 -6944Banco BBN SA N 0035 0020 0053 0009 0834 0011 -1466B Cooperativo Sicredi SA N 0045 0032 0070 0011 0881 0005 -2581B Cooperativo do Brasil SA N 0045 0029 0147 0025 0922 0006 -1274Banco Topazio SA N 0076 0043 0138 0038 0861 0005 -2569Banco Gerador SA N 0089 0054 0153 0037 0874 0008 -1645Banco Randon SA N 0122 0029 0335 0113 0803 0005 -388Parana Banco SA N 0033 0020 0062 0011 0800 0009 -234Banco Triangulo SA N 0052 0022 0105 0027 0841 0004 -4148Banco Guanabara SA N 0046 0019 0091 0020 0793 0004 -5561Banco Cedula SA N 0062 0011 0359 0067 0749 0003 -9911Banco Cacique SA N 0049 0020 0157 0048 0791 0016 -1315Banco Luso Brasileiro SA N 0066 0022 0241 0055 0870 0005 -2851Banco Pecunia SA N 0032 0027 0036 0003 0787 0003 -6876Banco Zogbi SA N 0032 0026 0037 0005 0784 0002 -13006Banco Daycoval SA N 0053 0019 0139 0036 0784 0004 -6065Banco John Deere SA N 0035 0016 0073 0016 0761 0003 -8278Banco AJ Renner SA N 0047 0021 0083 0015 0844 0006 -2553ABN Amro F 0035 0027 0047 0006 0889 0002 -7231Chase F 0054 0013 0157 0033 0804 0007 -2702LLoyds F 0033 0020 0043 0008 0821 0003 -5429BankBoston F 0036 0026 0060 0011 0888 0006 -1917Santander Brasil F 0055 0025 0115 0030 0864 0008 -1647Citibank F 0051 0020 0132 0025 0860 0003 -4735BNL F 0036 0026 0062 0012 0843 0005 -2959Sudameris F 0036 0031 0040 0004 0949 0011 -468Societe Generale F 0051 0018 0104 0024 0835 0007 -2454Europeu F 0034 0025 0041 0006 0859 0007 -2076ABC-Brasil F 0043 0026 0086 0015 0813 0003 -5797Dresdner F 0050 0014 0190 0046 0824 0004 -3975AGF Braseg F 0044 0024 0068 0014 0810 0005 -4109HSBC F 0052 0031 0110 0021 0948 0007 -776Deutsche F 0054 0012 0166 0030 0866 0005 -2754BNP Paribas F 0049 0028 0073 0013 0818 0004 -4092Barclays F 0065 0028 0121 0027 0811 0005 -4028Rabobank Int Brasil SA F 0047 0017 0102 0017 0845 0003 -4605B Nat de Paris Brasil SA F 0036 0017 0054 0013 0819 0005 -3304Ibibank SA - Banco Multiplo F 0043 0010 0114 0025 0782 0013 -1623Dresdner Bank - B Multiplo F 0096 0015 0270 0076 0785 0007 -2924Banco Westlb Do Brasil SA F 0041 0026 0062 0013 0853 0010 -154Banco GE Capital SA F 0054 0026 0253 0049 0862 0010 -1444B Com Uruguai SA F 0070 0017 0220 0058 0849 0003 -4471S - State-owned bank N - National bank and F - Foreign bank

44

Table A8 Estimates of Lerner index and return to scale by bank - Model (3)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0034 0090 0016 0941 0008 -772Banrisul S 0051 0032 0108 0016 0938 0008 -772BEC S 0035 0018 0051 0009 0856 0009 -1562BRB S 0052 0032 0122 0018 0958 0002 -1793BB S 0052 0035 0085 0015 0951 0006 -809Caixa Economica Federal S 0054 0039 0098 0014 1015 0003 465B da Amazonia SA S 0053 0014 0113 0024 0845 0008 -1977B do Estado Do Para SA S 0049 0028 0071 0010 0947 0005 -1117B do E do Maranhao SA S 0041 0032 0059 0008 0957 0015 -285B do E do Piauı SA - Bep S 0041 0028 0086 0014 0882 0005 -2518B do Estado De Sergipe SA S 0052 0021 0145 0022 0957 0004 -1182Nossa Caixa - N Banco SA S 0045 0029 0081 0015 0971 0005 -651Bradesco N 0052 0029 0101 0021 0893 0004 -2614Itau N 0054 0025 0203 0034 0872 0003 -4328Safra N 0048 0029 0093 0015 0869 0003 -5008Unibanco N 0041 0028 0067 0010 0874 0001 -8514Mercantil Do Brasil N 0053 0026 0095 0018 0939 0002 -29BBM N 0067 0013 0250 0056 0789 0005 -4501BMC N 0038 0024 0069 0010 0849 0003 -4408BMG N 0067 0015 0233 0058 0776 0004 -6374JMalucelli N 0052 0022 0087 0016 0720 0003 -9426PEBB N 0045 0014 0158 0040 0727 0009 -3192SS N 0057 0025 0231 0046 0797 0007 -287Sofisa N 0053 0018 0116 0026 0807 0002 -8444BIC N 0059 0030 0250 0049 0850 0006 -2596Schahin N 0048 0023 0220 0038 0842 0007 -2424Stock N 0083 0017 0304 0077 0838 0006 -2873Pine N 0049 0019 0105 0020 0810 0004 -5103Socopa N 0050 0026 0111 0018 0903 0003 -3253Intercap N 0055 0020 0196 0036 0828 0006 -283Indusval N 0062 0029 0282 0052 0863 0005 -2588Bonsucesso N 0051 0017 0118 0025 0789 0006 -3771Industrial do Brasil N 0046 0025 0086 0015 0815 0002 -8341Votorantim N 0050 0027 0128 0027 0809 0007 -2664Cacique N 0037 0020 0048 0009 0781 0005 -4645Inter Amex N 0039 0026 0058 0009 0842 0006 -2468Alfa N 0044 0031 0072 0011 0801 0002 -11998Rendimento N 0049 0022 0078 0011 0885 0008 -1463Bancoob N 0066 0057 0077 0007 0854 0003 -4342Original N 0102 0019 0301 0096 0730 0006 -4526Banco Intermedium SA N 0059 0027 0083 0020 0752 0006 -4354

Table A8 ndash Continue on next page

45

Table A8 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0017 0217 0054 0776 0003 -7084Banco BBN SA N 0038 0022 0058 0010 0831 0011 -1492B Cooperativo Sicredi SA N 0047 0035 0071 0010 0879 0005 -259B Cooperativo do Brasil SA N 0046 0035 0128 0020 0919 0006 -1339Banco Topazio SA N 0075 0036 0153 0041 0855 0005 -2657Banco Gerador SA N 0091 0057 0144 0034 0869 0008 -173Banco Randon SA N 0124 0029 0332 0112 0799 0005 -4023Parana Banco SA N 0036 0021 0071 0012 0797 0008 -2452Banco Triangulo SA N 0053 0023 0115 0027 0839 0004 -4256Banco Guanabara SA N 0047 0020 0100 0019 0790 0004 -561Banco Cedula SA N 0066 0012 0362 0068 0747 0003 -10082Banco Cacique SA N 0063 0026 0231 0074 0789 0016 -1336Banco Luso Brasileiro SA N 0066 0026 0249 0053 0865 0005 -2985Banco Pecunia SA N 0034 0029 0041 0004 0784 0003 -7038Banco Zogbi SA N 0036 0027 0046 0006 0782 0002 -13399Banco Daycoval SA N 0054 0019 0131 0034 0784 0004 -607Banco John Deere SA N 0039 0015 0083 0018 0761 0003 -8316Banco AJ Renner SA N 0049 0024 0073 0013 0840 0006 -2621ABN Amro F 0041 0030 0066 0009 0890 0002 -6866Chase F 0059 0013 0173 0039 0801 0007 -2733LLoyds F 0038 0021 0055 0010 0821 0003 -5484BankBoston F 0040 0028 0063 0012 0888 0006 -1931Santander Brasil F 0056 0028 0107 0027 0866 0008 -1663Citibank F 0052 0022 0123 0023 0860 0003 -4735BNL F 0039 0028 0063 0014 0841 0005 -2966Sudameris F 0041 0036 0052 0006 0948 0011 -473Societe Generale F 0052 0020 0103 0022 0833 0006 -2579Europeu F 0038 0030 0049 0007 0856 0007 -2153ABC-Brasil F 0046 0029 0079 0014 0813 0003 -5935Dresdner F 0055 0014 0212 0052 0822 0005 -3913AGF Braseg F 0046 0027 0071 0014 0806 0005 -4276HSBC F 0053 0032 0101 0019 0949 0007 -784Deutsche F 0058 0013 0141 0029 0863 0005 -2878BNP Paribas F 0051 0030 0074 0012 0818 0004 -4118Barclays F 0066 0025 0130 0030 0805 0005 -4123Rabobank Int Brasil SA F 0049 0019 0109 0018 0844 0003 -4752B Nat de Paris Brasil SA F 0041 0019 0069 0018 0817 0005 -3368Ibibank SA - Banco Multiplo F 0046 0010 0095 0021 0781 0014 -1617Dresdner Bank - B Multiplo F 0093 0017 0282 0072 0782 0008 -2899Banco Westlb Do Brasil SA F 0044 0027 0069 0015 0850 0009 -1591Banco GE Capital SA F 0055 0026 0249 0046 0859 0009 -1489B Com Uruguai SA F 0071 0017 0228 0056 0845 0003 -46241S - State-owned bank N - National bank and F - Foreign bank

46

Table A9 Estimates of Lerner index and return to scale by bank - Model (4)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0054 0041 0078 0011 0939 0007 -873Banrisul S 0055 0040 0106 0014 0948 0008 -692BEC S 0046 0020 0072 0014 0846 0009 -1746BRB S 0057 0032 0094 0016 0959 0002 -1673BB S 0057 0038 0095 0014 0981 0006 -33Caixa Economica Federal S 0061 0049 0165 0021 1042 0003 1249B da Amazonia SA S 0056 0015 0117 0022 0844 0008 -2047B do Estado Do Para SA S 0059 0025 0103 0020 0936 0004 -1701B do E Do Maranhao SA S 0052 0044 0062 0005 0936 0014 -448B do E Do Piauı SA - Bep S 0054 0029 0147 0028 0865 0004 -3201B do Estado De Sergipe SA S 0061 0023 0168 0026 0947 0004 -1484Nossa Caixa - N Banco SA S 0054 0035 0085 0012 0977 0004 -547Bradesco N 0056 0036 0107 0017 0919 0004 -2123Itau N 0058 0030 0212 0032 0896 0003 -3979Safra N 0052 0035 0107 0013 0882 0003 -445Unibanco N 0052 0035 0082 0013 0892 0001 -7446Mercantil Do Brasil N 0057 0027 0093 0015 0942 0002 -2687BBM N 0075 0015 0294 0064 0784 0005 -4512BMC N 0050 0029 0074 0011 0846 0003 -472BMG N 0065 0016 0202 0047 0779 0003 -7192JMalucelli N 0048 0022 0071 0014 0720 0003 -8923PEBB N 0061 0016 0172 0044 0704 0008 -382SS N 0056 0033 0213 0037 0799 0007 -2875Sofisa N 0053 0020 0087 0019 0805 0002 -9731BIC N 0061 0033 0269 0048 0854 0005 -2768Schahin N 0053 0027 0205 0034 0836 0006 -2627Stock N 0081 0020 0265 0068 0820 0006 -3122Pine N 0052 0022 0118 0021 0808 0004 -5467Socopa N 0054 0026 0114 0016 0888 0003 -3785Intercap N 0057 0023 0203 0035 0815 0006 -2877Indusval N 0062 0029 0239 0043 0857 0005 -3085Bonsucesso N 0052 0019 0088 0018 0782 0005 -403Industrial do Brasil N 0050 0030 0076 0015 0809 0002 -9427Votorantim N 0051 0036 0102 0017 0817 0008 -2222Cacique N 0050 0023 0067 0013 0776 0005 -4659Inter Amex N 0052 0035 0064 0009 0837 0007 -2226Alfa N 0048 0039 0071 0007 0805 0002 -11484Rendimento N 0052 0022 0076 0013 0874 0008 -1571Bancoob N 0057 0045 0071 0011 0855 0003 -5022Original N 0094 0017 0278 0090 0730 0006 -4242Banco Intermedium SA N 0049 0027 0065 0014 0746 0006 -4054

Table A9 ndash Continue on next page

47

Table A9 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0019 0220 0050 0764 0003 -7516Banco BBN SA N 0050 0027 0072 0013 0819 0012 -1529B Cooperativo Sicredi SA N 0051 0041 0068 0006 0875 0005 -2551B Cooperativo do Brasil SA N 0053 0044 0134 0018 0910 0006 -151Banco Topazio SA N 0066 0035 0128 0036 0837 0005 -2981Banco Gerador SA N 0082 0045 0157 0043 0854 0007 -1967Banco Randon SA N 0106 0026 0312 0105 0786 0005 -4204Parana Banco SA N 0048 0025 0102 0018 0787 0008 -2768Banco Triangulo SA N 0054 0027 0088 0021 0834 0004 -427Banco Guanabara SA N 0051 0023 0161 0025 0780 0004 -5659Banco Cedula SA N 0069 0012 0360 0065 0735 0003 -1028Banco Cacique SA N 0073 0027 0240 0075 0786 0016 -1327Banco Luso Brasileiro SA N 0065 0026 0242 0047 0852 0004 -346Banco Pecunia SA N 0045 0037 0056 0006 0773 0003 -7139Banco Zogbi SA N 0048 0036 0064 0010 0779 0001 -15057Banco Daycoval SA N 0055 0022 0126 0030 0784 0004 -568Banco John Deere SA N 0056 0018 0125 0031 0757 0003 -8084Banco AJ Renner SA N 0051 0025 0077 0013 0829 0006 -2763ABN Amro F 0053 0038 0074 0013 0909 0002 -4803Chase F 0066 0014 0220 0046 0793 0008 -2711LLoyds F 0050 0026 0060 0011 0825 0003 -5323BankBoston F 0054 0038 0092 0018 0899 0006 -1734Santander Brasil F 0056 0033 0098 0019 0885 0007 -1529Citibank F 0059 0025 0145 0030 0872 0003 -421BNL F 0052 0039 0091 0018 0840 0006 -2854Sudameris F 0053 0046 0062 0005 0961 0011 -352Societe Generale F 0058 0023 0144 0028 0827 0006 -2968Europeu F 0052 0031 0069 0012 0849 0007 -23ABC-Brasil F 0051 0028 0091 0015 0815 0003 -6225Dresdner F 0078 0017 0271 0071 0816 0005 -339AGF Braseg F 0050 0030 0094 0015 0797 0004 -4873HSBC F 0057 0045 0116 0016 0966 0006 -562Deutsche F 0066 0013 0151 0034 0858 0004 -3316BNP Paribas F 0050 0036 0071 0010 0823 0005 -3772Barclays F 0057 0024 0102 0025 0777 0007 -3003Rabobank Int Brasil SA F 0057 0021 0157 0026 0842 0003 -5266B Nat de Paris Brasil SA F 0059 0023 0102 0030 0812 0006 -3387Ibibank SA - Banco Multiplo F 0056 0012 0100 0023 0781 0015 -148Dresdner Bank - B Multiplo F 0084 0016 0237 0064 0771 0008 -2798Banco Westlb Do Brasil SA F 0061 0033 0101 0025 0841 0010 -1646Banco GE Capital SA F 0063 0031 0238 0044 0853 0010 -1548B Com Uruguai SA F 0074 0020 0226 0056 0833 0003 -51921S - State-owned bank N - National bank and F - Foreign bank

48

Table A10 Estimates of Lerner index and return to scale by bank - Model (5)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0043 0093 0012 0940 0007 -834Banrisul S 0054 0041 0083 0009 0949 0008 -668BEC S 0046 0020 0075 0014 0846 0009 -1719BRB S 0058 0032 0121 0017 0960 0002 -1607BB S 0056 0037 0087 0010 0981 0006 -321Caixa Economica Federal S 0061 0050 0156 0019 1044 0003 1282B da Amazonia SA S 0057 0016 0115 0023 0843 0008 -2023B do Estado Do Para SA S 0059 0027 0102 0020 0938 0004 -1608B do E Do Maranhao SA S 0052 0042 0064 0006 0939 0015 -418B do E Do Piauı SA - Bep S 0054 0029 0138 0025 0866 0004 -3097B do Estado De Sergipe SA S 0059 0024 0136 0020 0949 0004 -1404Nossa Caixa - N Banco SA S 0055 0036 0088 0013 0979 0004 -494Bradesco N 0056 0037 0108 0016 0918 0004 -2108Itau N 0058 0031 0213 0033 0894 0003 -3968Safra N 0052 0036 0086 0010 0881 0003 -4388Unibanco N 0053 0037 0085 0013 0892 0001 -7433Mercantil Do Brasil N 0057 0027 0086 0012 0943 0002 -2619BBM N 0075 0015 0292 0063 0784 0005 -447BMC N 0050 0029 0077 0012 0846 0003 -4648BMG N 0067 0017 0220 0051 0777 0003 -7116JMalucelli N 0049 0022 0083 0016 0718 0003 -8879PEBB N 0060 0017 0176 0044 0704 0008 -3743SS N 0059 0032 0223 0041 0798 0007 -2847Sofisa N 0055 0021 0112 0022 0804 0002 -9624BIC N 0060 0032 0238 0041 0853 0005 -2725Schahin N 0055 0028 0228 0038 0836 0006 -2575Stock N 0082 0019 0267 0068 0821 0006 -3063Pine N 0052 0022 0096 0018 0808 0004 -5392Socopa N 0055 0027 0113 0016 0889 0003 -3694Intercap N 0060 0023 0210 0037 0814 0006 -2856Indusval N 0062 0029 0245 0044 0857 0005 -3023Bonsucesso N 0053 0020 0113 0022 0781 0005 -3999Industrial do Brasil N 0051 0030 0084 0016 0808 0002 -9274Votorantim N 0052 0037 0130 0022 0816 0008 -2227Cacique N 0049 0024 0065 0012 0775 0005 -4632Inter Amex N 0052 0034 0067 0011 0837 0007 -2236Alfa N 0047 0041 0056 0004 0804 0002 -11448Rendimento N 0053 0022 0079 0011 0874 0008 -1549Bancoob N 0056 0050 0064 0005 0856 0003 -4874Original N 0087 0018 0288 0093 0728 0006 -4259Banco Intermedium SA N 0055 0027 0078 0019 0744 0006 -4047

Table A10 ndash Continue on next page

49

Table A10 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0217 0048 0763 0003 -7417Banco BBN SA N 0051 0026 0075 0014 0820 0012 -1504B Cooperativo Sicredi SA N 0051 0040 0061 0005 0876 0005 -2499B Cooperativo do Brasil SA N 0054 0043 0136 0019 0912 0006 -1445Banco Topazio SA N 0061 0034 0109 0026 0838 0006 -2897Banco Gerador SA N 0073 0052 0124 0026 0855 0008 -1918Banco Randon SA N 0120 0024 0327 0114 0785 0005 -4153Parana Banco SA N 0048 0026 0106 0020 0786 0008 -2732Banco Triangulo SA N 0055 0027 0111 0022 0834 0004 -4227Banco Guanabara SA N 0052 0024 0153 0024 0779 0004 -5589Banco Cedula SA N 0069 0012 0339 0062 0734 0003 -10232Banco Cacique SA N 0076 0027 0246 0076 0785 0016 -1317Banco Luso Brasileiro SA N 0067 0027 0207 0047 0852 0004 -3379Banco Pecunia SA N 0046 0038 0054 0006 0773 0003 -71Banco Zogbi SA N 0047 0037 0061 0010 0778 0001 -14931Banco Daycoval SA N 0054 0022 0126 0026 0782 0004 -5661Banco John Deere SA N 0056 0018 0129 0031 0756 0003 -8043Banco AJ Renner SA N 0053 0025 0080 0015 0829 0006 -2716ABN Amro F 0053 0038 0074 0012 0908 0002 -4751Chase F 0067 0014 0225 0047 0792 0008 -2693LLoyds F 0049 0025 0064 0012 0824 0003 -5227BankBoston F 0054 0037 0096 0020 0899 0006 -1701Santander Brasil F 0057 0033 0103 0019 0884 0008 -1511Citibank F 0059 0026 0154 0028 0871 0003 -4204BNL F 0052 0037 0097 0020 0840 0006 -28Sudameris F 0052 0045 0058 0005 0962 0011 -334Societe Generale F 0060 0023 0151 0031 0827 0006 -2924Europeu F 0050 0032 0066 0012 0849 0007 -2263ABC-Brasil F 0051 0025 0079 0014 0814 0003 -617Dresdner F 0080 0017 0276 0073 0816 0005 -3374AGF Braseg F 0050 0031 0093 0015 0796 0004 -4812HSBC F 0057 0043 0093 0011 0966 0006 -541Deutsche F 0066 0013 0155 0035 0858 0004 -3244BNP Paribas F 0050 0035 0067 0008 0822 0005 -3775Barclays F 0056 0024 0113 0025 0778 0007 -305Rabobank Int Brasil SA F 0057 0021 0163 0027 0842 0003 -5208B Nat de Paris Brasil SA F 0058 0022 0100 0029 0812 0006 -3343Ibibank SA - Banco Multiplo F 0057 0012 0099 0023 0780 0015 -1478Dresdner Bank - B Multiplo F 0087 0016 0244 0068 0770 0008 -2768Banco Westlb Do Brasil SA F 0063 0034 0106 0026 0841 0010 -1625Banco GE Capital SA F 0064 0032 0247 0046 0853 0010 -1522B Com Uruguai SA F 0073 0019 0191 0049 0833 0003 -50981S - State-owned bank N - National bank and F - Foreign bank

50

Table A11 Estimates of Lerner index and return to scale by bank - Model (6)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0036 0096 0015 0939 0007 -855Banrisul S 0050 0035 0098 0014 0938 0008 -82BEC S 0041 0019 0067 0012 0855 0009 -1644BRB S 0053 0029 0124 0018 0956 0002 -1996BB S 0051 0032 0088 0013 0954 0006 -807Caixa Economica Federal S 0054 0040 0094 0012 1014 0003 475B da Amazonia SA S 0053 0015 0103 0022 0846 0008 -205B do Estado Do Para SA S 0051 0028 0074 0013 0943 0004 -1319B do E Do Maranhao SA S 0041 0031 0059 0008 0950 0014 -346B do E Do Piauı SA - Bep S 0042 0028 0084 0012 0879 0004 -2727B do Estado De Sergipe SA S 0052 0022 0153 0022 0953 0003 -1377Nossa Caixa - N Banco SA S 0047 0032 0081 0014 0969 0004 -74Bradesco N 0052 0032 0097 0019 0898 0004 -2645Itau N 0054 0027 0190 0031 0877 0003 -4452Safra N 0049 0032 0100 0015 0872 0003 -5056Unibanco N 0043 0032 0067 0010 0878 0001 -8666Mercantil Do Brasil N 0053 0026 0087 0017 0938 0002 -3104BBM N 0066 0013 0251 0056 0792 0005 -4556BMC N 0041 0026 0069 0011 0850 0003 -4582BMG N 0067 0016 0228 0057 0781 0003 -6611JMalucelli N 0051 0022 0089 0017 0725 0003 -9344PEBB N 0046 0015 0157 0039 0728 0008 -3313SS N 0058 0025 0230 0046 0801 0007 -292Sofisa N 0053 0020 0119 0025 0809 0002 -8846BIC N 0060 0029 0262 0049 0852 0005 -2697Schahin N 0049 0025 0229 0040 0843 0006 -2523Stock N 0081 0017 0284 0072 0836 0005 -2986Pine N 0049 0021 0112 0019 0812 0004 -5267Socopa N 0050 0026 0095 0015 0900 0003 -3515Intercap N 0055 0021 0196 0035 0828 0006 -2899Indusval N 0061 0029 0262 0049 0863 0005 -2762Bonsucesso N 0052 0019 0123 0026 0791 0005 -3885Industrial do Brasil N 0046 0027 0088 0015 0816 0002 -8698Votorantim N 0051 0027 0139 0027 0813 0007 -262Cacique N 0039 0022 0050 0009 0784 0005 -4707Inter Amex N 0045 0027 0064 0012 0843 0006 -2493Alfa N 0044 0033 0068 0009 0805 0002 -12111Rendimento N 0050 0022 0073 0010 0883 0008 -1543Bancoob N 0066 0055 0072 0007 0856 0003 -4559Original N 0098 0020 0294 0094 0735 0006 -4509Banco Intermedium SA N 0057 0024 0085 0022 0756 0006 -4324

Table A11 ndash Continue on next page

51

Table A11 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0061 0017 0195 0048 0777 0003 -7233Banco BBN SA N 0042 0023 0059 0012 0831 0011 -1529B Cooperativo Sicredi SA N 0048 0035 0066 0009 0879 0005 -2672B Cooperativo do Brasil SA N 0046 0034 0119 0017 0917 0006 -1439Banco Topazio SA N 0070 0031 0129 0036 0853 0005 -2776Banco Gerador SA N 0086 0057 0148 0034 0867 0007 -1825Banco Randon SA N 0126 0028 0331 0114 0799 0005 -4136Parana Banco SA N 0039 0023 0082 0015 0798 0008 -2556Banco Triangulo SA N 0052 0025 0116 0025 0840 0004 -4363Banco Guanabara SA N 0048 0021 0100 0019 0792 0004 -5683Banco Cedula SA N 0067 0013 0356 0067 0749 0002 -10205Banco Cacique SA N 0067 0026 0232 0073 0792 0015 -1356Banco Luso Brasileiro SA N 0065 0025 0237 0052 0864 0004 -3163Banco Pecunia SA N 0037 0029 0045 0006 0786 0003 -7158Banco Zogbi SA N 0037 0027 0045 0007 0785 0002 -13921Banco Daycoval SA N 0053 0020 0120 0031 0787 0003 -6088Banco John Deere SA N 0043 0017 0099 0022 0764 0003 -8346Banco AJ Renner SA N 0050 0025 0080 0013 0840 0006 -2706ABN Amro F 0043 0035 0067 0008 0894 0002 -6685Chase F 0059 0014 0189 0040 0803 0007 -2772LLoyds F 0039 0021 0055 0012 0824 0003 -5536BankBoston F 0044 0029 0075 0015 0890 0006 -1965Santander Brasil F 0054 0028 0107 0024 0871 0008 -1694Citibank F 0054 0023 0133 0026 0863 0003 -4787BNL F 0042 0028 0078 0018 0843 0005 -2998Sudameris F 0041 0036 0052 0006 0948 0010 -491Societe Generale F 0054 0020 0118 0025 0834 0006 -2716Europeu F 0038 0029 0049 0008 0856 0006 -2239ABC-Brasil F 0046 0028 0084 0014 0816 0003 -6111Dresdner F 0063 0015 0239 0061 0823 0005 -3888AGF Braseg F 0047 0027 0074 0014 0807 0004 -4477HSBC F 0054 0032 0109 0018 0950 0006 -823Deutsche F 0058 0013 0122 0028 0863 0004 -305BNP Paribas F 0051 0032 0070 0011 0822 0004 -4145Barclays F 0064 0024 0128 0029 0802 0005 -4051Rabobank Int Brasil SA F 0051 0019 0130 0021 0846 0003 -4992B Nat de Paris Brasil SA F 0043 0019 0070 0019 0819 0005 -3429Ibibank SA - Banco Multiplo F 0049 0010 0083 0020 0785 0013 -161Dresdner Bank - B Multiplo F 0087 0016 0261 0066 0783 0007 -2901Banco Westlb Do Brasil SA F 0051 0030 0082 0019 0850 0009 -1643Banco GE Capital SA F 0053 0028 0239 0044 0859 0009 -1544B Com Uruguai SA F 0071 0017 0217 0054 0845 0003 -48451S - State-owned bank N - National bank and F - Foreign bank

52

Seacuterie de Textos para Discussatildeo do Curso de Ciecircncias Econocircmicas ndash FACEUFG ndash TD [078]

EDITORIAL FACE ndash Faculdade de Administraccedilatildeo Ciecircncias Contaacutebeis e Ciecircncias Econocircmicas Curso de Ciecircncias Econocircmicas Direccedilatildeo FACE Prof Moiseacutes Ferreira da Cunha Vice-Direccedilatildeo FACE Profordf Andreacutea Freire de Lucena Coordenaccedilatildeo do Curso de Ciecircncias Econocircmicas Prof Tiago Camarinha Lopes NEPEC ndash Nuacutecleo de Estudos e Pesquisas Econocircmicas Coordenaccedilatildeo Prof Seacutergio Fornazier Meyrelles Filho SEacuteRIE DE TEXTOS PARA DISCUSSAtildeO DO CURSO DE CIEcircNCIAS ECONOcircMICAS DA UFG Coordenaccedilatildeo e Equipe de Editoraccedilatildeo Prof Sandro Eduardo Monsueto Adriana Moura Guimaratildees Matheus Henrique de Arauacutejo Dutra

Endereccedilo Campus Samambaia Preacutedio da FACE ndash Rodovia GoiacircniaNova Veneza km 0 ndash CEP 74690-900 Goiacircnia ndash GO Tel (62) 3521 ndash 1390 URL httpwwwfaceufgbreconomia Publicaccedilatildeo cujo objetivo eacute divulgar resultados de estudos que contam com a participaccedilatildeo de pesquisadores do NEPEC As opiniotildees contidas nesta publicaccedilatildeo satildeo de inteira responsabilidade do(s) autor(es) natildeo representando necessariamente o ponto de vista do NEPEC ou da FACEUFG Eacute permitida a reproduccedilatildeo desde que citada a fonte

Page 47: 1(3(& )$&( 8)* · The Dark Side of Prudential MeasuresI Paulo R. Scalco a, Benjamin M. Tabak1, Anderson M. Teixeira aFaculty of Management, Accounting and Economics, Federal University

Table A8 Estimates of Lerner index and return to scale by bank - Model (3)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0034 0090 0016 0941 0008 -772Banrisul S 0051 0032 0108 0016 0938 0008 -772BEC S 0035 0018 0051 0009 0856 0009 -1562BRB S 0052 0032 0122 0018 0958 0002 -1793BB S 0052 0035 0085 0015 0951 0006 -809Caixa Economica Federal S 0054 0039 0098 0014 1015 0003 465B da Amazonia SA S 0053 0014 0113 0024 0845 0008 -1977B do Estado Do Para SA S 0049 0028 0071 0010 0947 0005 -1117B do E do Maranhao SA S 0041 0032 0059 0008 0957 0015 -285B do E do Piauı SA - Bep S 0041 0028 0086 0014 0882 0005 -2518B do Estado De Sergipe SA S 0052 0021 0145 0022 0957 0004 -1182Nossa Caixa - N Banco SA S 0045 0029 0081 0015 0971 0005 -651Bradesco N 0052 0029 0101 0021 0893 0004 -2614Itau N 0054 0025 0203 0034 0872 0003 -4328Safra N 0048 0029 0093 0015 0869 0003 -5008Unibanco N 0041 0028 0067 0010 0874 0001 -8514Mercantil Do Brasil N 0053 0026 0095 0018 0939 0002 -29BBM N 0067 0013 0250 0056 0789 0005 -4501BMC N 0038 0024 0069 0010 0849 0003 -4408BMG N 0067 0015 0233 0058 0776 0004 -6374JMalucelli N 0052 0022 0087 0016 0720 0003 -9426PEBB N 0045 0014 0158 0040 0727 0009 -3192SS N 0057 0025 0231 0046 0797 0007 -287Sofisa N 0053 0018 0116 0026 0807 0002 -8444BIC N 0059 0030 0250 0049 0850 0006 -2596Schahin N 0048 0023 0220 0038 0842 0007 -2424Stock N 0083 0017 0304 0077 0838 0006 -2873Pine N 0049 0019 0105 0020 0810 0004 -5103Socopa N 0050 0026 0111 0018 0903 0003 -3253Intercap N 0055 0020 0196 0036 0828 0006 -283Indusval N 0062 0029 0282 0052 0863 0005 -2588Bonsucesso N 0051 0017 0118 0025 0789 0006 -3771Industrial do Brasil N 0046 0025 0086 0015 0815 0002 -8341Votorantim N 0050 0027 0128 0027 0809 0007 -2664Cacique N 0037 0020 0048 0009 0781 0005 -4645Inter Amex N 0039 0026 0058 0009 0842 0006 -2468Alfa N 0044 0031 0072 0011 0801 0002 -11998Rendimento N 0049 0022 0078 0011 0885 0008 -1463Bancoob N 0066 0057 0077 0007 0854 0003 -4342Original N 0102 0019 0301 0096 0730 0006 -4526Banco Intermedium SA N 0059 0027 0083 0020 0752 0006 -4354

Table A8 ndash Continue on next page

45

Table A8 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0017 0217 0054 0776 0003 -7084Banco BBN SA N 0038 0022 0058 0010 0831 0011 -1492B Cooperativo Sicredi SA N 0047 0035 0071 0010 0879 0005 -259B Cooperativo do Brasil SA N 0046 0035 0128 0020 0919 0006 -1339Banco Topazio SA N 0075 0036 0153 0041 0855 0005 -2657Banco Gerador SA N 0091 0057 0144 0034 0869 0008 -173Banco Randon SA N 0124 0029 0332 0112 0799 0005 -4023Parana Banco SA N 0036 0021 0071 0012 0797 0008 -2452Banco Triangulo SA N 0053 0023 0115 0027 0839 0004 -4256Banco Guanabara SA N 0047 0020 0100 0019 0790 0004 -561Banco Cedula SA N 0066 0012 0362 0068 0747 0003 -10082Banco Cacique SA N 0063 0026 0231 0074 0789 0016 -1336Banco Luso Brasileiro SA N 0066 0026 0249 0053 0865 0005 -2985Banco Pecunia SA N 0034 0029 0041 0004 0784 0003 -7038Banco Zogbi SA N 0036 0027 0046 0006 0782 0002 -13399Banco Daycoval SA N 0054 0019 0131 0034 0784 0004 -607Banco John Deere SA N 0039 0015 0083 0018 0761 0003 -8316Banco AJ Renner SA N 0049 0024 0073 0013 0840 0006 -2621ABN Amro F 0041 0030 0066 0009 0890 0002 -6866Chase F 0059 0013 0173 0039 0801 0007 -2733LLoyds F 0038 0021 0055 0010 0821 0003 -5484BankBoston F 0040 0028 0063 0012 0888 0006 -1931Santander Brasil F 0056 0028 0107 0027 0866 0008 -1663Citibank F 0052 0022 0123 0023 0860 0003 -4735BNL F 0039 0028 0063 0014 0841 0005 -2966Sudameris F 0041 0036 0052 0006 0948 0011 -473Societe Generale F 0052 0020 0103 0022 0833 0006 -2579Europeu F 0038 0030 0049 0007 0856 0007 -2153ABC-Brasil F 0046 0029 0079 0014 0813 0003 -5935Dresdner F 0055 0014 0212 0052 0822 0005 -3913AGF Braseg F 0046 0027 0071 0014 0806 0005 -4276HSBC F 0053 0032 0101 0019 0949 0007 -784Deutsche F 0058 0013 0141 0029 0863 0005 -2878BNP Paribas F 0051 0030 0074 0012 0818 0004 -4118Barclays F 0066 0025 0130 0030 0805 0005 -4123Rabobank Int Brasil SA F 0049 0019 0109 0018 0844 0003 -4752B Nat de Paris Brasil SA F 0041 0019 0069 0018 0817 0005 -3368Ibibank SA - Banco Multiplo F 0046 0010 0095 0021 0781 0014 -1617Dresdner Bank - B Multiplo F 0093 0017 0282 0072 0782 0008 -2899Banco Westlb Do Brasil SA F 0044 0027 0069 0015 0850 0009 -1591Banco GE Capital SA F 0055 0026 0249 0046 0859 0009 -1489B Com Uruguai SA F 0071 0017 0228 0056 0845 0003 -46241S - State-owned bank N - National bank and F - Foreign bank

46

Table A9 Estimates of Lerner index and return to scale by bank - Model (4)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0054 0041 0078 0011 0939 0007 -873Banrisul S 0055 0040 0106 0014 0948 0008 -692BEC S 0046 0020 0072 0014 0846 0009 -1746BRB S 0057 0032 0094 0016 0959 0002 -1673BB S 0057 0038 0095 0014 0981 0006 -33Caixa Economica Federal S 0061 0049 0165 0021 1042 0003 1249B da Amazonia SA S 0056 0015 0117 0022 0844 0008 -2047B do Estado Do Para SA S 0059 0025 0103 0020 0936 0004 -1701B do E Do Maranhao SA S 0052 0044 0062 0005 0936 0014 -448B do E Do Piauı SA - Bep S 0054 0029 0147 0028 0865 0004 -3201B do Estado De Sergipe SA S 0061 0023 0168 0026 0947 0004 -1484Nossa Caixa - N Banco SA S 0054 0035 0085 0012 0977 0004 -547Bradesco N 0056 0036 0107 0017 0919 0004 -2123Itau N 0058 0030 0212 0032 0896 0003 -3979Safra N 0052 0035 0107 0013 0882 0003 -445Unibanco N 0052 0035 0082 0013 0892 0001 -7446Mercantil Do Brasil N 0057 0027 0093 0015 0942 0002 -2687BBM N 0075 0015 0294 0064 0784 0005 -4512BMC N 0050 0029 0074 0011 0846 0003 -472BMG N 0065 0016 0202 0047 0779 0003 -7192JMalucelli N 0048 0022 0071 0014 0720 0003 -8923PEBB N 0061 0016 0172 0044 0704 0008 -382SS N 0056 0033 0213 0037 0799 0007 -2875Sofisa N 0053 0020 0087 0019 0805 0002 -9731BIC N 0061 0033 0269 0048 0854 0005 -2768Schahin N 0053 0027 0205 0034 0836 0006 -2627Stock N 0081 0020 0265 0068 0820 0006 -3122Pine N 0052 0022 0118 0021 0808 0004 -5467Socopa N 0054 0026 0114 0016 0888 0003 -3785Intercap N 0057 0023 0203 0035 0815 0006 -2877Indusval N 0062 0029 0239 0043 0857 0005 -3085Bonsucesso N 0052 0019 0088 0018 0782 0005 -403Industrial do Brasil N 0050 0030 0076 0015 0809 0002 -9427Votorantim N 0051 0036 0102 0017 0817 0008 -2222Cacique N 0050 0023 0067 0013 0776 0005 -4659Inter Amex N 0052 0035 0064 0009 0837 0007 -2226Alfa N 0048 0039 0071 0007 0805 0002 -11484Rendimento N 0052 0022 0076 0013 0874 0008 -1571Bancoob N 0057 0045 0071 0011 0855 0003 -5022Original N 0094 0017 0278 0090 0730 0006 -4242Banco Intermedium SA N 0049 0027 0065 0014 0746 0006 -4054

Table A9 ndash Continue on next page

47

Table A9 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0019 0220 0050 0764 0003 -7516Banco BBN SA N 0050 0027 0072 0013 0819 0012 -1529B Cooperativo Sicredi SA N 0051 0041 0068 0006 0875 0005 -2551B Cooperativo do Brasil SA N 0053 0044 0134 0018 0910 0006 -151Banco Topazio SA N 0066 0035 0128 0036 0837 0005 -2981Banco Gerador SA N 0082 0045 0157 0043 0854 0007 -1967Banco Randon SA N 0106 0026 0312 0105 0786 0005 -4204Parana Banco SA N 0048 0025 0102 0018 0787 0008 -2768Banco Triangulo SA N 0054 0027 0088 0021 0834 0004 -427Banco Guanabara SA N 0051 0023 0161 0025 0780 0004 -5659Banco Cedula SA N 0069 0012 0360 0065 0735 0003 -1028Banco Cacique SA N 0073 0027 0240 0075 0786 0016 -1327Banco Luso Brasileiro SA N 0065 0026 0242 0047 0852 0004 -346Banco Pecunia SA N 0045 0037 0056 0006 0773 0003 -7139Banco Zogbi SA N 0048 0036 0064 0010 0779 0001 -15057Banco Daycoval SA N 0055 0022 0126 0030 0784 0004 -568Banco John Deere SA N 0056 0018 0125 0031 0757 0003 -8084Banco AJ Renner SA N 0051 0025 0077 0013 0829 0006 -2763ABN Amro F 0053 0038 0074 0013 0909 0002 -4803Chase F 0066 0014 0220 0046 0793 0008 -2711LLoyds F 0050 0026 0060 0011 0825 0003 -5323BankBoston F 0054 0038 0092 0018 0899 0006 -1734Santander Brasil F 0056 0033 0098 0019 0885 0007 -1529Citibank F 0059 0025 0145 0030 0872 0003 -421BNL F 0052 0039 0091 0018 0840 0006 -2854Sudameris F 0053 0046 0062 0005 0961 0011 -352Societe Generale F 0058 0023 0144 0028 0827 0006 -2968Europeu F 0052 0031 0069 0012 0849 0007 -23ABC-Brasil F 0051 0028 0091 0015 0815 0003 -6225Dresdner F 0078 0017 0271 0071 0816 0005 -339AGF Braseg F 0050 0030 0094 0015 0797 0004 -4873HSBC F 0057 0045 0116 0016 0966 0006 -562Deutsche F 0066 0013 0151 0034 0858 0004 -3316BNP Paribas F 0050 0036 0071 0010 0823 0005 -3772Barclays F 0057 0024 0102 0025 0777 0007 -3003Rabobank Int Brasil SA F 0057 0021 0157 0026 0842 0003 -5266B Nat de Paris Brasil SA F 0059 0023 0102 0030 0812 0006 -3387Ibibank SA - Banco Multiplo F 0056 0012 0100 0023 0781 0015 -148Dresdner Bank - B Multiplo F 0084 0016 0237 0064 0771 0008 -2798Banco Westlb Do Brasil SA F 0061 0033 0101 0025 0841 0010 -1646Banco GE Capital SA F 0063 0031 0238 0044 0853 0010 -1548B Com Uruguai SA F 0074 0020 0226 0056 0833 0003 -51921S - State-owned bank N - National bank and F - Foreign bank

48

Table A10 Estimates of Lerner index and return to scale by bank - Model (5)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0043 0093 0012 0940 0007 -834Banrisul S 0054 0041 0083 0009 0949 0008 -668BEC S 0046 0020 0075 0014 0846 0009 -1719BRB S 0058 0032 0121 0017 0960 0002 -1607BB S 0056 0037 0087 0010 0981 0006 -321Caixa Economica Federal S 0061 0050 0156 0019 1044 0003 1282B da Amazonia SA S 0057 0016 0115 0023 0843 0008 -2023B do Estado Do Para SA S 0059 0027 0102 0020 0938 0004 -1608B do E Do Maranhao SA S 0052 0042 0064 0006 0939 0015 -418B do E Do Piauı SA - Bep S 0054 0029 0138 0025 0866 0004 -3097B do Estado De Sergipe SA S 0059 0024 0136 0020 0949 0004 -1404Nossa Caixa - N Banco SA S 0055 0036 0088 0013 0979 0004 -494Bradesco N 0056 0037 0108 0016 0918 0004 -2108Itau N 0058 0031 0213 0033 0894 0003 -3968Safra N 0052 0036 0086 0010 0881 0003 -4388Unibanco N 0053 0037 0085 0013 0892 0001 -7433Mercantil Do Brasil N 0057 0027 0086 0012 0943 0002 -2619BBM N 0075 0015 0292 0063 0784 0005 -447BMC N 0050 0029 0077 0012 0846 0003 -4648BMG N 0067 0017 0220 0051 0777 0003 -7116JMalucelli N 0049 0022 0083 0016 0718 0003 -8879PEBB N 0060 0017 0176 0044 0704 0008 -3743SS N 0059 0032 0223 0041 0798 0007 -2847Sofisa N 0055 0021 0112 0022 0804 0002 -9624BIC N 0060 0032 0238 0041 0853 0005 -2725Schahin N 0055 0028 0228 0038 0836 0006 -2575Stock N 0082 0019 0267 0068 0821 0006 -3063Pine N 0052 0022 0096 0018 0808 0004 -5392Socopa N 0055 0027 0113 0016 0889 0003 -3694Intercap N 0060 0023 0210 0037 0814 0006 -2856Indusval N 0062 0029 0245 0044 0857 0005 -3023Bonsucesso N 0053 0020 0113 0022 0781 0005 -3999Industrial do Brasil N 0051 0030 0084 0016 0808 0002 -9274Votorantim N 0052 0037 0130 0022 0816 0008 -2227Cacique N 0049 0024 0065 0012 0775 0005 -4632Inter Amex N 0052 0034 0067 0011 0837 0007 -2236Alfa N 0047 0041 0056 0004 0804 0002 -11448Rendimento N 0053 0022 0079 0011 0874 0008 -1549Bancoob N 0056 0050 0064 0005 0856 0003 -4874Original N 0087 0018 0288 0093 0728 0006 -4259Banco Intermedium SA N 0055 0027 0078 0019 0744 0006 -4047

Table A10 ndash Continue on next page

49

Table A10 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0217 0048 0763 0003 -7417Banco BBN SA N 0051 0026 0075 0014 0820 0012 -1504B Cooperativo Sicredi SA N 0051 0040 0061 0005 0876 0005 -2499B Cooperativo do Brasil SA N 0054 0043 0136 0019 0912 0006 -1445Banco Topazio SA N 0061 0034 0109 0026 0838 0006 -2897Banco Gerador SA N 0073 0052 0124 0026 0855 0008 -1918Banco Randon SA N 0120 0024 0327 0114 0785 0005 -4153Parana Banco SA N 0048 0026 0106 0020 0786 0008 -2732Banco Triangulo SA N 0055 0027 0111 0022 0834 0004 -4227Banco Guanabara SA N 0052 0024 0153 0024 0779 0004 -5589Banco Cedula SA N 0069 0012 0339 0062 0734 0003 -10232Banco Cacique SA N 0076 0027 0246 0076 0785 0016 -1317Banco Luso Brasileiro SA N 0067 0027 0207 0047 0852 0004 -3379Banco Pecunia SA N 0046 0038 0054 0006 0773 0003 -71Banco Zogbi SA N 0047 0037 0061 0010 0778 0001 -14931Banco Daycoval SA N 0054 0022 0126 0026 0782 0004 -5661Banco John Deere SA N 0056 0018 0129 0031 0756 0003 -8043Banco AJ Renner SA N 0053 0025 0080 0015 0829 0006 -2716ABN Amro F 0053 0038 0074 0012 0908 0002 -4751Chase F 0067 0014 0225 0047 0792 0008 -2693LLoyds F 0049 0025 0064 0012 0824 0003 -5227BankBoston F 0054 0037 0096 0020 0899 0006 -1701Santander Brasil F 0057 0033 0103 0019 0884 0008 -1511Citibank F 0059 0026 0154 0028 0871 0003 -4204BNL F 0052 0037 0097 0020 0840 0006 -28Sudameris F 0052 0045 0058 0005 0962 0011 -334Societe Generale F 0060 0023 0151 0031 0827 0006 -2924Europeu F 0050 0032 0066 0012 0849 0007 -2263ABC-Brasil F 0051 0025 0079 0014 0814 0003 -617Dresdner F 0080 0017 0276 0073 0816 0005 -3374AGF Braseg F 0050 0031 0093 0015 0796 0004 -4812HSBC F 0057 0043 0093 0011 0966 0006 -541Deutsche F 0066 0013 0155 0035 0858 0004 -3244BNP Paribas F 0050 0035 0067 0008 0822 0005 -3775Barclays F 0056 0024 0113 0025 0778 0007 -305Rabobank Int Brasil SA F 0057 0021 0163 0027 0842 0003 -5208B Nat de Paris Brasil SA F 0058 0022 0100 0029 0812 0006 -3343Ibibank SA - Banco Multiplo F 0057 0012 0099 0023 0780 0015 -1478Dresdner Bank - B Multiplo F 0087 0016 0244 0068 0770 0008 -2768Banco Westlb Do Brasil SA F 0063 0034 0106 0026 0841 0010 -1625Banco GE Capital SA F 0064 0032 0247 0046 0853 0010 -1522B Com Uruguai SA F 0073 0019 0191 0049 0833 0003 -50981S - State-owned bank N - National bank and F - Foreign bank

50

Table A11 Estimates of Lerner index and return to scale by bank - Model (6)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0036 0096 0015 0939 0007 -855Banrisul S 0050 0035 0098 0014 0938 0008 -82BEC S 0041 0019 0067 0012 0855 0009 -1644BRB S 0053 0029 0124 0018 0956 0002 -1996BB S 0051 0032 0088 0013 0954 0006 -807Caixa Economica Federal S 0054 0040 0094 0012 1014 0003 475B da Amazonia SA S 0053 0015 0103 0022 0846 0008 -205B do Estado Do Para SA S 0051 0028 0074 0013 0943 0004 -1319B do E Do Maranhao SA S 0041 0031 0059 0008 0950 0014 -346B do E Do Piauı SA - Bep S 0042 0028 0084 0012 0879 0004 -2727B do Estado De Sergipe SA S 0052 0022 0153 0022 0953 0003 -1377Nossa Caixa - N Banco SA S 0047 0032 0081 0014 0969 0004 -74Bradesco N 0052 0032 0097 0019 0898 0004 -2645Itau N 0054 0027 0190 0031 0877 0003 -4452Safra N 0049 0032 0100 0015 0872 0003 -5056Unibanco N 0043 0032 0067 0010 0878 0001 -8666Mercantil Do Brasil N 0053 0026 0087 0017 0938 0002 -3104BBM N 0066 0013 0251 0056 0792 0005 -4556BMC N 0041 0026 0069 0011 0850 0003 -4582BMG N 0067 0016 0228 0057 0781 0003 -6611JMalucelli N 0051 0022 0089 0017 0725 0003 -9344PEBB N 0046 0015 0157 0039 0728 0008 -3313SS N 0058 0025 0230 0046 0801 0007 -292Sofisa N 0053 0020 0119 0025 0809 0002 -8846BIC N 0060 0029 0262 0049 0852 0005 -2697Schahin N 0049 0025 0229 0040 0843 0006 -2523Stock N 0081 0017 0284 0072 0836 0005 -2986Pine N 0049 0021 0112 0019 0812 0004 -5267Socopa N 0050 0026 0095 0015 0900 0003 -3515Intercap N 0055 0021 0196 0035 0828 0006 -2899Indusval N 0061 0029 0262 0049 0863 0005 -2762Bonsucesso N 0052 0019 0123 0026 0791 0005 -3885Industrial do Brasil N 0046 0027 0088 0015 0816 0002 -8698Votorantim N 0051 0027 0139 0027 0813 0007 -262Cacique N 0039 0022 0050 0009 0784 0005 -4707Inter Amex N 0045 0027 0064 0012 0843 0006 -2493Alfa N 0044 0033 0068 0009 0805 0002 -12111Rendimento N 0050 0022 0073 0010 0883 0008 -1543Bancoob N 0066 0055 0072 0007 0856 0003 -4559Original N 0098 0020 0294 0094 0735 0006 -4509Banco Intermedium SA N 0057 0024 0085 0022 0756 0006 -4324

Table A11 ndash Continue on next page

51

Table A11 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0061 0017 0195 0048 0777 0003 -7233Banco BBN SA N 0042 0023 0059 0012 0831 0011 -1529B Cooperativo Sicredi SA N 0048 0035 0066 0009 0879 0005 -2672B Cooperativo do Brasil SA N 0046 0034 0119 0017 0917 0006 -1439Banco Topazio SA N 0070 0031 0129 0036 0853 0005 -2776Banco Gerador SA N 0086 0057 0148 0034 0867 0007 -1825Banco Randon SA N 0126 0028 0331 0114 0799 0005 -4136Parana Banco SA N 0039 0023 0082 0015 0798 0008 -2556Banco Triangulo SA N 0052 0025 0116 0025 0840 0004 -4363Banco Guanabara SA N 0048 0021 0100 0019 0792 0004 -5683Banco Cedula SA N 0067 0013 0356 0067 0749 0002 -10205Banco Cacique SA N 0067 0026 0232 0073 0792 0015 -1356Banco Luso Brasileiro SA N 0065 0025 0237 0052 0864 0004 -3163Banco Pecunia SA N 0037 0029 0045 0006 0786 0003 -7158Banco Zogbi SA N 0037 0027 0045 0007 0785 0002 -13921Banco Daycoval SA N 0053 0020 0120 0031 0787 0003 -6088Banco John Deere SA N 0043 0017 0099 0022 0764 0003 -8346Banco AJ Renner SA N 0050 0025 0080 0013 0840 0006 -2706ABN Amro F 0043 0035 0067 0008 0894 0002 -6685Chase F 0059 0014 0189 0040 0803 0007 -2772LLoyds F 0039 0021 0055 0012 0824 0003 -5536BankBoston F 0044 0029 0075 0015 0890 0006 -1965Santander Brasil F 0054 0028 0107 0024 0871 0008 -1694Citibank F 0054 0023 0133 0026 0863 0003 -4787BNL F 0042 0028 0078 0018 0843 0005 -2998Sudameris F 0041 0036 0052 0006 0948 0010 -491Societe Generale F 0054 0020 0118 0025 0834 0006 -2716Europeu F 0038 0029 0049 0008 0856 0006 -2239ABC-Brasil F 0046 0028 0084 0014 0816 0003 -6111Dresdner F 0063 0015 0239 0061 0823 0005 -3888AGF Braseg F 0047 0027 0074 0014 0807 0004 -4477HSBC F 0054 0032 0109 0018 0950 0006 -823Deutsche F 0058 0013 0122 0028 0863 0004 -305BNP Paribas F 0051 0032 0070 0011 0822 0004 -4145Barclays F 0064 0024 0128 0029 0802 0005 -4051Rabobank Int Brasil SA F 0051 0019 0130 0021 0846 0003 -4992B Nat de Paris Brasil SA F 0043 0019 0070 0019 0819 0005 -3429Ibibank SA - Banco Multiplo F 0049 0010 0083 0020 0785 0013 -161Dresdner Bank - B Multiplo F 0087 0016 0261 0066 0783 0007 -2901Banco Westlb Do Brasil SA F 0051 0030 0082 0019 0850 0009 -1643Banco GE Capital SA F 0053 0028 0239 0044 0859 0009 -1544B Com Uruguai SA F 0071 0017 0217 0054 0845 0003 -48451S - State-owned bank N - National bank and F - Foreign bank

52

Seacuterie de Textos para Discussatildeo do Curso de Ciecircncias Econocircmicas ndash FACEUFG ndash TD [078]

EDITORIAL FACE ndash Faculdade de Administraccedilatildeo Ciecircncias Contaacutebeis e Ciecircncias Econocircmicas Curso de Ciecircncias Econocircmicas Direccedilatildeo FACE Prof Moiseacutes Ferreira da Cunha Vice-Direccedilatildeo FACE Profordf Andreacutea Freire de Lucena Coordenaccedilatildeo do Curso de Ciecircncias Econocircmicas Prof Tiago Camarinha Lopes NEPEC ndash Nuacutecleo de Estudos e Pesquisas Econocircmicas Coordenaccedilatildeo Prof Seacutergio Fornazier Meyrelles Filho SEacuteRIE DE TEXTOS PARA DISCUSSAtildeO DO CURSO DE CIEcircNCIAS ECONOcircMICAS DA UFG Coordenaccedilatildeo e Equipe de Editoraccedilatildeo Prof Sandro Eduardo Monsueto Adriana Moura Guimaratildees Matheus Henrique de Arauacutejo Dutra

Endereccedilo Campus Samambaia Preacutedio da FACE ndash Rodovia GoiacircniaNova Veneza km 0 ndash CEP 74690-900 Goiacircnia ndash GO Tel (62) 3521 ndash 1390 URL httpwwwfaceufgbreconomia Publicaccedilatildeo cujo objetivo eacute divulgar resultados de estudos que contam com a participaccedilatildeo de pesquisadores do NEPEC As opiniotildees contidas nesta publicaccedilatildeo satildeo de inteira responsabilidade do(s) autor(es) natildeo representando necessariamente o ponto de vista do NEPEC ou da FACEUFG Eacute permitida a reproduccedilatildeo desde que citada a fonte

Page 48: 1(3(& )$&( 8)* · The Dark Side of Prudential MeasuresI Paulo R. Scalco a, Benjamin M. Tabak1, Anderson M. Teixeira aFaculty of Management, Accounting and Economics, Federal University

Table A8 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0017 0217 0054 0776 0003 -7084Banco BBN SA N 0038 0022 0058 0010 0831 0011 -1492B Cooperativo Sicredi SA N 0047 0035 0071 0010 0879 0005 -259B Cooperativo do Brasil SA N 0046 0035 0128 0020 0919 0006 -1339Banco Topazio SA N 0075 0036 0153 0041 0855 0005 -2657Banco Gerador SA N 0091 0057 0144 0034 0869 0008 -173Banco Randon SA N 0124 0029 0332 0112 0799 0005 -4023Parana Banco SA N 0036 0021 0071 0012 0797 0008 -2452Banco Triangulo SA N 0053 0023 0115 0027 0839 0004 -4256Banco Guanabara SA N 0047 0020 0100 0019 0790 0004 -561Banco Cedula SA N 0066 0012 0362 0068 0747 0003 -10082Banco Cacique SA N 0063 0026 0231 0074 0789 0016 -1336Banco Luso Brasileiro SA N 0066 0026 0249 0053 0865 0005 -2985Banco Pecunia SA N 0034 0029 0041 0004 0784 0003 -7038Banco Zogbi SA N 0036 0027 0046 0006 0782 0002 -13399Banco Daycoval SA N 0054 0019 0131 0034 0784 0004 -607Banco John Deere SA N 0039 0015 0083 0018 0761 0003 -8316Banco AJ Renner SA N 0049 0024 0073 0013 0840 0006 -2621ABN Amro F 0041 0030 0066 0009 0890 0002 -6866Chase F 0059 0013 0173 0039 0801 0007 -2733LLoyds F 0038 0021 0055 0010 0821 0003 -5484BankBoston F 0040 0028 0063 0012 0888 0006 -1931Santander Brasil F 0056 0028 0107 0027 0866 0008 -1663Citibank F 0052 0022 0123 0023 0860 0003 -4735BNL F 0039 0028 0063 0014 0841 0005 -2966Sudameris F 0041 0036 0052 0006 0948 0011 -473Societe Generale F 0052 0020 0103 0022 0833 0006 -2579Europeu F 0038 0030 0049 0007 0856 0007 -2153ABC-Brasil F 0046 0029 0079 0014 0813 0003 -5935Dresdner F 0055 0014 0212 0052 0822 0005 -3913AGF Braseg F 0046 0027 0071 0014 0806 0005 -4276HSBC F 0053 0032 0101 0019 0949 0007 -784Deutsche F 0058 0013 0141 0029 0863 0005 -2878BNP Paribas F 0051 0030 0074 0012 0818 0004 -4118Barclays F 0066 0025 0130 0030 0805 0005 -4123Rabobank Int Brasil SA F 0049 0019 0109 0018 0844 0003 -4752B Nat de Paris Brasil SA F 0041 0019 0069 0018 0817 0005 -3368Ibibank SA - Banco Multiplo F 0046 0010 0095 0021 0781 0014 -1617Dresdner Bank - B Multiplo F 0093 0017 0282 0072 0782 0008 -2899Banco Westlb Do Brasil SA F 0044 0027 0069 0015 0850 0009 -1591Banco GE Capital SA F 0055 0026 0249 0046 0859 0009 -1489B Com Uruguai SA F 0071 0017 0228 0056 0845 0003 -46241S - State-owned bank N - National bank and F - Foreign bank

46

Table A9 Estimates of Lerner index and return to scale by bank - Model (4)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0054 0041 0078 0011 0939 0007 -873Banrisul S 0055 0040 0106 0014 0948 0008 -692BEC S 0046 0020 0072 0014 0846 0009 -1746BRB S 0057 0032 0094 0016 0959 0002 -1673BB S 0057 0038 0095 0014 0981 0006 -33Caixa Economica Federal S 0061 0049 0165 0021 1042 0003 1249B da Amazonia SA S 0056 0015 0117 0022 0844 0008 -2047B do Estado Do Para SA S 0059 0025 0103 0020 0936 0004 -1701B do E Do Maranhao SA S 0052 0044 0062 0005 0936 0014 -448B do E Do Piauı SA - Bep S 0054 0029 0147 0028 0865 0004 -3201B do Estado De Sergipe SA S 0061 0023 0168 0026 0947 0004 -1484Nossa Caixa - N Banco SA S 0054 0035 0085 0012 0977 0004 -547Bradesco N 0056 0036 0107 0017 0919 0004 -2123Itau N 0058 0030 0212 0032 0896 0003 -3979Safra N 0052 0035 0107 0013 0882 0003 -445Unibanco N 0052 0035 0082 0013 0892 0001 -7446Mercantil Do Brasil N 0057 0027 0093 0015 0942 0002 -2687BBM N 0075 0015 0294 0064 0784 0005 -4512BMC N 0050 0029 0074 0011 0846 0003 -472BMG N 0065 0016 0202 0047 0779 0003 -7192JMalucelli N 0048 0022 0071 0014 0720 0003 -8923PEBB N 0061 0016 0172 0044 0704 0008 -382SS N 0056 0033 0213 0037 0799 0007 -2875Sofisa N 0053 0020 0087 0019 0805 0002 -9731BIC N 0061 0033 0269 0048 0854 0005 -2768Schahin N 0053 0027 0205 0034 0836 0006 -2627Stock N 0081 0020 0265 0068 0820 0006 -3122Pine N 0052 0022 0118 0021 0808 0004 -5467Socopa N 0054 0026 0114 0016 0888 0003 -3785Intercap N 0057 0023 0203 0035 0815 0006 -2877Indusval N 0062 0029 0239 0043 0857 0005 -3085Bonsucesso N 0052 0019 0088 0018 0782 0005 -403Industrial do Brasil N 0050 0030 0076 0015 0809 0002 -9427Votorantim N 0051 0036 0102 0017 0817 0008 -2222Cacique N 0050 0023 0067 0013 0776 0005 -4659Inter Amex N 0052 0035 0064 0009 0837 0007 -2226Alfa N 0048 0039 0071 0007 0805 0002 -11484Rendimento N 0052 0022 0076 0013 0874 0008 -1571Bancoob N 0057 0045 0071 0011 0855 0003 -5022Original N 0094 0017 0278 0090 0730 0006 -4242Banco Intermedium SA N 0049 0027 0065 0014 0746 0006 -4054

Table A9 ndash Continue on next page

47

Table A9 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0019 0220 0050 0764 0003 -7516Banco BBN SA N 0050 0027 0072 0013 0819 0012 -1529B Cooperativo Sicredi SA N 0051 0041 0068 0006 0875 0005 -2551B Cooperativo do Brasil SA N 0053 0044 0134 0018 0910 0006 -151Banco Topazio SA N 0066 0035 0128 0036 0837 0005 -2981Banco Gerador SA N 0082 0045 0157 0043 0854 0007 -1967Banco Randon SA N 0106 0026 0312 0105 0786 0005 -4204Parana Banco SA N 0048 0025 0102 0018 0787 0008 -2768Banco Triangulo SA N 0054 0027 0088 0021 0834 0004 -427Banco Guanabara SA N 0051 0023 0161 0025 0780 0004 -5659Banco Cedula SA N 0069 0012 0360 0065 0735 0003 -1028Banco Cacique SA N 0073 0027 0240 0075 0786 0016 -1327Banco Luso Brasileiro SA N 0065 0026 0242 0047 0852 0004 -346Banco Pecunia SA N 0045 0037 0056 0006 0773 0003 -7139Banco Zogbi SA N 0048 0036 0064 0010 0779 0001 -15057Banco Daycoval SA N 0055 0022 0126 0030 0784 0004 -568Banco John Deere SA N 0056 0018 0125 0031 0757 0003 -8084Banco AJ Renner SA N 0051 0025 0077 0013 0829 0006 -2763ABN Amro F 0053 0038 0074 0013 0909 0002 -4803Chase F 0066 0014 0220 0046 0793 0008 -2711LLoyds F 0050 0026 0060 0011 0825 0003 -5323BankBoston F 0054 0038 0092 0018 0899 0006 -1734Santander Brasil F 0056 0033 0098 0019 0885 0007 -1529Citibank F 0059 0025 0145 0030 0872 0003 -421BNL F 0052 0039 0091 0018 0840 0006 -2854Sudameris F 0053 0046 0062 0005 0961 0011 -352Societe Generale F 0058 0023 0144 0028 0827 0006 -2968Europeu F 0052 0031 0069 0012 0849 0007 -23ABC-Brasil F 0051 0028 0091 0015 0815 0003 -6225Dresdner F 0078 0017 0271 0071 0816 0005 -339AGF Braseg F 0050 0030 0094 0015 0797 0004 -4873HSBC F 0057 0045 0116 0016 0966 0006 -562Deutsche F 0066 0013 0151 0034 0858 0004 -3316BNP Paribas F 0050 0036 0071 0010 0823 0005 -3772Barclays F 0057 0024 0102 0025 0777 0007 -3003Rabobank Int Brasil SA F 0057 0021 0157 0026 0842 0003 -5266B Nat de Paris Brasil SA F 0059 0023 0102 0030 0812 0006 -3387Ibibank SA - Banco Multiplo F 0056 0012 0100 0023 0781 0015 -148Dresdner Bank - B Multiplo F 0084 0016 0237 0064 0771 0008 -2798Banco Westlb Do Brasil SA F 0061 0033 0101 0025 0841 0010 -1646Banco GE Capital SA F 0063 0031 0238 0044 0853 0010 -1548B Com Uruguai SA F 0074 0020 0226 0056 0833 0003 -51921S - State-owned bank N - National bank and F - Foreign bank

48

Table A10 Estimates of Lerner index and return to scale by bank - Model (5)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0043 0093 0012 0940 0007 -834Banrisul S 0054 0041 0083 0009 0949 0008 -668BEC S 0046 0020 0075 0014 0846 0009 -1719BRB S 0058 0032 0121 0017 0960 0002 -1607BB S 0056 0037 0087 0010 0981 0006 -321Caixa Economica Federal S 0061 0050 0156 0019 1044 0003 1282B da Amazonia SA S 0057 0016 0115 0023 0843 0008 -2023B do Estado Do Para SA S 0059 0027 0102 0020 0938 0004 -1608B do E Do Maranhao SA S 0052 0042 0064 0006 0939 0015 -418B do E Do Piauı SA - Bep S 0054 0029 0138 0025 0866 0004 -3097B do Estado De Sergipe SA S 0059 0024 0136 0020 0949 0004 -1404Nossa Caixa - N Banco SA S 0055 0036 0088 0013 0979 0004 -494Bradesco N 0056 0037 0108 0016 0918 0004 -2108Itau N 0058 0031 0213 0033 0894 0003 -3968Safra N 0052 0036 0086 0010 0881 0003 -4388Unibanco N 0053 0037 0085 0013 0892 0001 -7433Mercantil Do Brasil N 0057 0027 0086 0012 0943 0002 -2619BBM N 0075 0015 0292 0063 0784 0005 -447BMC N 0050 0029 0077 0012 0846 0003 -4648BMG N 0067 0017 0220 0051 0777 0003 -7116JMalucelli N 0049 0022 0083 0016 0718 0003 -8879PEBB N 0060 0017 0176 0044 0704 0008 -3743SS N 0059 0032 0223 0041 0798 0007 -2847Sofisa N 0055 0021 0112 0022 0804 0002 -9624BIC N 0060 0032 0238 0041 0853 0005 -2725Schahin N 0055 0028 0228 0038 0836 0006 -2575Stock N 0082 0019 0267 0068 0821 0006 -3063Pine N 0052 0022 0096 0018 0808 0004 -5392Socopa N 0055 0027 0113 0016 0889 0003 -3694Intercap N 0060 0023 0210 0037 0814 0006 -2856Indusval N 0062 0029 0245 0044 0857 0005 -3023Bonsucesso N 0053 0020 0113 0022 0781 0005 -3999Industrial do Brasil N 0051 0030 0084 0016 0808 0002 -9274Votorantim N 0052 0037 0130 0022 0816 0008 -2227Cacique N 0049 0024 0065 0012 0775 0005 -4632Inter Amex N 0052 0034 0067 0011 0837 0007 -2236Alfa N 0047 0041 0056 0004 0804 0002 -11448Rendimento N 0053 0022 0079 0011 0874 0008 -1549Bancoob N 0056 0050 0064 0005 0856 0003 -4874Original N 0087 0018 0288 0093 0728 0006 -4259Banco Intermedium SA N 0055 0027 0078 0019 0744 0006 -4047

Table A10 ndash Continue on next page

49

Table A10 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0217 0048 0763 0003 -7417Banco BBN SA N 0051 0026 0075 0014 0820 0012 -1504B Cooperativo Sicredi SA N 0051 0040 0061 0005 0876 0005 -2499B Cooperativo do Brasil SA N 0054 0043 0136 0019 0912 0006 -1445Banco Topazio SA N 0061 0034 0109 0026 0838 0006 -2897Banco Gerador SA N 0073 0052 0124 0026 0855 0008 -1918Banco Randon SA N 0120 0024 0327 0114 0785 0005 -4153Parana Banco SA N 0048 0026 0106 0020 0786 0008 -2732Banco Triangulo SA N 0055 0027 0111 0022 0834 0004 -4227Banco Guanabara SA N 0052 0024 0153 0024 0779 0004 -5589Banco Cedula SA N 0069 0012 0339 0062 0734 0003 -10232Banco Cacique SA N 0076 0027 0246 0076 0785 0016 -1317Banco Luso Brasileiro SA N 0067 0027 0207 0047 0852 0004 -3379Banco Pecunia SA N 0046 0038 0054 0006 0773 0003 -71Banco Zogbi SA N 0047 0037 0061 0010 0778 0001 -14931Banco Daycoval SA N 0054 0022 0126 0026 0782 0004 -5661Banco John Deere SA N 0056 0018 0129 0031 0756 0003 -8043Banco AJ Renner SA N 0053 0025 0080 0015 0829 0006 -2716ABN Amro F 0053 0038 0074 0012 0908 0002 -4751Chase F 0067 0014 0225 0047 0792 0008 -2693LLoyds F 0049 0025 0064 0012 0824 0003 -5227BankBoston F 0054 0037 0096 0020 0899 0006 -1701Santander Brasil F 0057 0033 0103 0019 0884 0008 -1511Citibank F 0059 0026 0154 0028 0871 0003 -4204BNL F 0052 0037 0097 0020 0840 0006 -28Sudameris F 0052 0045 0058 0005 0962 0011 -334Societe Generale F 0060 0023 0151 0031 0827 0006 -2924Europeu F 0050 0032 0066 0012 0849 0007 -2263ABC-Brasil F 0051 0025 0079 0014 0814 0003 -617Dresdner F 0080 0017 0276 0073 0816 0005 -3374AGF Braseg F 0050 0031 0093 0015 0796 0004 -4812HSBC F 0057 0043 0093 0011 0966 0006 -541Deutsche F 0066 0013 0155 0035 0858 0004 -3244BNP Paribas F 0050 0035 0067 0008 0822 0005 -3775Barclays F 0056 0024 0113 0025 0778 0007 -305Rabobank Int Brasil SA F 0057 0021 0163 0027 0842 0003 -5208B Nat de Paris Brasil SA F 0058 0022 0100 0029 0812 0006 -3343Ibibank SA - Banco Multiplo F 0057 0012 0099 0023 0780 0015 -1478Dresdner Bank - B Multiplo F 0087 0016 0244 0068 0770 0008 -2768Banco Westlb Do Brasil SA F 0063 0034 0106 0026 0841 0010 -1625Banco GE Capital SA F 0064 0032 0247 0046 0853 0010 -1522B Com Uruguai SA F 0073 0019 0191 0049 0833 0003 -50981S - State-owned bank N - National bank and F - Foreign bank

50

Table A11 Estimates of Lerner index and return to scale by bank - Model (6)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0036 0096 0015 0939 0007 -855Banrisul S 0050 0035 0098 0014 0938 0008 -82BEC S 0041 0019 0067 0012 0855 0009 -1644BRB S 0053 0029 0124 0018 0956 0002 -1996BB S 0051 0032 0088 0013 0954 0006 -807Caixa Economica Federal S 0054 0040 0094 0012 1014 0003 475B da Amazonia SA S 0053 0015 0103 0022 0846 0008 -205B do Estado Do Para SA S 0051 0028 0074 0013 0943 0004 -1319B do E Do Maranhao SA S 0041 0031 0059 0008 0950 0014 -346B do E Do Piauı SA - Bep S 0042 0028 0084 0012 0879 0004 -2727B do Estado De Sergipe SA S 0052 0022 0153 0022 0953 0003 -1377Nossa Caixa - N Banco SA S 0047 0032 0081 0014 0969 0004 -74Bradesco N 0052 0032 0097 0019 0898 0004 -2645Itau N 0054 0027 0190 0031 0877 0003 -4452Safra N 0049 0032 0100 0015 0872 0003 -5056Unibanco N 0043 0032 0067 0010 0878 0001 -8666Mercantil Do Brasil N 0053 0026 0087 0017 0938 0002 -3104BBM N 0066 0013 0251 0056 0792 0005 -4556BMC N 0041 0026 0069 0011 0850 0003 -4582BMG N 0067 0016 0228 0057 0781 0003 -6611JMalucelli N 0051 0022 0089 0017 0725 0003 -9344PEBB N 0046 0015 0157 0039 0728 0008 -3313SS N 0058 0025 0230 0046 0801 0007 -292Sofisa N 0053 0020 0119 0025 0809 0002 -8846BIC N 0060 0029 0262 0049 0852 0005 -2697Schahin N 0049 0025 0229 0040 0843 0006 -2523Stock N 0081 0017 0284 0072 0836 0005 -2986Pine N 0049 0021 0112 0019 0812 0004 -5267Socopa N 0050 0026 0095 0015 0900 0003 -3515Intercap N 0055 0021 0196 0035 0828 0006 -2899Indusval N 0061 0029 0262 0049 0863 0005 -2762Bonsucesso N 0052 0019 0123 0026 0791 0005 -3885Industrial do Brasil N 0046 0027 0088 0015 0816 0002 -8698Votorantim N 0051 0027 0139 0027 0813 0007 -262Cacique N 0039 0022 0050 0009 0784 0005 -4707Inter Amex N 0045 0027 0064 0012 0843 0006 -2493Alfa N 0044 0033 0068 0009 0805 0002 -12111Rendimento N 0050 0022 0073 0010 0883 0008 -1543Bancoob N 0066 0055 0072 0007 0856 0003 -4559Original N 0098 0020 0294 0094 0735 0006 -4509Banco Intermedium SA N 0057 0024 0085 0022 0756 0006 -4324

Table A11 ndash Continue on next page

51

Table A11 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0061 0017 0195 0048 0777 0003 -7233Banco BBN SA N 0042 0023 0059 0012 0831 0011 -1529B Cooperativo Sicredi SA N 0048 0035 0066 0009 0879 0005 -2672B Cooperativo do Brasil SA N 0046 0034 0119 0017 0917 0006 -1439Banco Topazio SA N 0070 0031 0129 0036 0853 0005 -2776Banco Gerador SA N 0086 0057 0148 0034 0867 0007 -1825Banco Randon SA N 0126 0028 0331 0114 0799 0005 -4136Parana Banco SA N 0039 0023 0082 0015 0798 0008 -2556Banco Triangulo SA N 0052 0025 0116 0025 0840 0004 -4363Banco Guanabara SA N 0048 0021 0100 0019 0792 0004 -5683Banco Cedula SA N 0067 0013 0356 0067 0749 0002 -10205Banco Cacique SA N 0067 0026 0232 0073 0792 0015 -1356Banco Luso Brasileiro SA N 0065 0025 0237 0052 0864 0004 -3163Banco Pecunia SA N 0037 0029 0045 0006 0786 0003 -7158Banco Zogbi SA N 0037 0027 0045 0007 0785 0002 -13921Banco Daycoval SA N 0053 0020 0120 0031 0787 0003 -6088Banco John Deere SA N 0043 0017 0099 0022 0764 0003 -8346Banco AJ Renner SA N 0050 0025 0080 0013 0840 0006 -2706ABN Amro F 0043 0035 0067 0008 0894 0002 -6685Chase F 0059 0014 0189 0040 0803 0007 -2772LLoyds F 0039 0021 0055 0012 0824 0003 -5536BankBoston F 0044 0029 0075 0015 0890 0006 -1965Santander Brasil F 0054 0028 0107 0024 0871 0008 -1694Citibank F 0054 0023 0133 0026 0863 0003 -4787BNL F 0042 0028 0078 0018 0843 0005 -2998Sudameris F 0041 0036 0052 0006 0948 0010 -491Societe Generale F 0054 0020 0118 0025 0834 0006 -2716Europeu F 0038 0029 0049 0008 0856 0006 -2239ABC-Brasil F 0046 0028 0084 0014 0816 0003 -6111Dresdner F 0063 0015 0239 0061 0823 0005 -3888AGF Braseg F 0047 0027 0074 0014 0807 0004 -4477HSBC F 0054 0032 0109 0018 0950 0006 -823Deutsche F 0058 0013 0122 0028 0863 0004 -305BNP Paribas F 0051 0032 0070 0011 0822 0004 -4145Barclays F 0064 0024 0128 0029 0802 0005 -4051Rabobank Int Brasil SA F 0051 0019 0130 0021 0846 0003 -4992B Nat de Paris Brasil SA F 0043 0019 0070 0019 0819 0005 -3429Ibibank SA - Banco Multiplo F 0049 0010 0083 0020 0785 0013 -161Dresdner Bank - B Multiplo F 0087 0016 0261 0066 0783 0007 -2901Banco Westlb Do Brasil SA F 0051 0030 0082 0019 0850 0009 -1643Banco GE Capital SA F 0053 0028 0239 0044 0859 0009 -1544B Com Uruguai SA F 0071 0017 0217 0054 0845 0003 -48451S - State-owned bank N - National bank and F - Foreign bank

52

Seacuterie de Textos para Discussatildeo do Curso de Ciecircncias Econocircmicas ndash FACEUFG ndash TD [078]

EDITORIAL FACE ndash Faculdade de Administraccedilatildeo Ciecircncias Contaacutebeis e Ciecircncias Econocircmicas Curso de Ciecircncias Econocircmicas Direccedilatildeo FACE Prof Moiseacutes Ferreira da Cunha Vice-Direccedilatildeo FACE Profordf Andreacutea Freire de Lucena Coordenaccedilatildeo do Curso de Ciecircncias Econocircmicas Prof Tiago Camarinha Lopes NEPEC ndash Nuacutecleo de Estudos e Pesquisas Econocircmicas Coordenaccedilatildeo Prof Seacutergio Fornazier Meyrelles Filho SEacuteRIE DE TEXTOS PARA DISCUSSAtildeO DO CURSO DE CIEcircNCIAS ECONOcircMICAS DA UFG Coordenaccedilatildeo e Equipe de Editoraccedilatildeo Prof Sandro Eduardo Monsueto Adriana Moura Guimaratildees Matheus Henrique de Arauacutejo Dutra

Endereccedilo Campus Samambaia Preacutedio da FACE ndash Rodovia GoiacircniaNova Veneza km 0 ndash CEP 74690-900 Goiacircnia ndash GO Tel (62) 3521 ndash 1390 URL httpwwwfaceufgbreconomia Publicaccedilatildeo cujo objetivo eacute divulgar resultados de estudos que contam com a participaccedilatildeo de pesquisadores do NEPEC As opiniotildees contidas nesta publicaccedilatildeo satildeo de inteira responsabilidade do(s) autor(es) natildeo representando necessariamente o ponto de vista do NEPEC ou da FACEUFG Eacute permitida a reproduccedilatildeo desde que citada a fonte

Page 49: 1(3(& )$&( 8)* · The Dark Side of Prudential MeasuresI Paulo R. Scalco a, Benjamin M. Tabak1, Anderson M. Teixeira aFaculty of Management, Accounting and Economics, Federal University

Table A9 Estimates of Lerner index and return to scale by bank - Model (4)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0054 0041 0078 0011 0939 0007 -873Banrisul S 0055 0040 0106 0014 0948 0008 -692BEC S 0046 0020 0072 0014 0846 0009 -1746BRB S 0057 0032 0094 0016 0959 0002 -1673BB S 0057 0038 0095 0014 0981 0006 -33Caixa Economica Federal S 0061 0049 0165 0021 1042 0003 1249B da Amazonia SA S 0056 0015 0117 0022 0844 0008 -2047B do Estado Do Para SA S 0059 0025 0103 0020 0936 0004 -1701B do E Do Maranhao SA S 0052 0044 0062 0005 0936 0014 -448B do E Do Piauı SA - Bep S 0054 0029 0147 0028 0865 0004 -3201B do Estado De Sergipe SA S 0061 0023 0168 0026 0947 0004 -1484Nossa Caixa - N Banco SA S 0054 0035 0085 0012 0977 0004 -547Bradesco N 0056 0036 0107 0017 0919 0004 -2123Itau N 0058 0030 0212 0032 0896 0003 -3979Safra N 0052 0035 0107 0013 0882 0003 -445Unibanco N 0052 0035 0082 0013 0892 0001 -7446Mercantil Do Brasil N 0057 0027 0093 0015 0942 0002 -2687BBM N 0075 0015 0294 0064 0784 0005 -4512BMC N 0050 0029 0074 0011 0846 0003 -472BMG N 0065 0016 0202 0047 0779 0003 -7192JMalucelli N 0048 0022 0071 0014 0720 0003 -8923PEBB N 0061 0016 0172 0044 0704 0008 -382SS N 0056 0033 0213 0037 0799 0007 -2875Sofisa N 0053 0020 0087 0019 0805 0002 -9731BIC N 0061 0033 0269 0048 0854 0005 -2768Schahin N 0053 0027 0205 0034 0836 0006 -2627Stock N 0081 0020 0265 0068 0820 0006 -3122Pine N 0052 0022 0118 0021 0808 0004 -5467Socopa N 0054 0026 0114 0016 0888 0003 -3785Intercap N 0057 0023 0203 0035 0815 0006 -2877Indusval N 0062 0029 0239 0043 0857 0005 -3085Bonsucesso N 0052 0019 0088 0018 0782 0005 -403Industrial do Brasil N 0050 0030 0076 0015 0809 0002 -9427Votorantim N 0051 0036 0102 0017 0817 0008 -2222Cacique N 0050 0023 0067 0013 0776 0005 -4659Inter Amex N 0052 0035 0064 0009 0837 0007 -2226Alfa N 0048 0039 0071 0007 0805 0002 -11484Rendimento N 0052 0022 0076 0013 0874 0008 -1571Bancoob N 0057 0045 0071 0011 0855 0003 -5022Original N 0094 0017 0278 0090 0730 0006 -4242Banco Intermedium SA N 0049 0027 0065 0014 0746 0006 -4054

Table A9 ndash Continue on next page

47

Table A9 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0019 0220 0050 0764 0003 -7516Banco BBN SA N 0050 0027 0072 0013 0819 0012 -1529B Cooperativo Sicredi SA N 0051 0041 0068 0006 0875 0005 -2551B Cooperativo do Brasil SA N 0053 0044 0134 0018 0910 0006 -151Banco Topazio SA N 0066 0035 0128 0036 0837 0005 -2981Banco Gerador SA N 0082 0045 0157 0043 0854 0007 -1967Banco Randon SA N 0106 0026 0312 0105 0786 0005 -4204Parana Banco SA N 0048 0025 0102 0018 0787 0008 -2768Banco Triangulo SA N 0054 0027 0088 0021 0834 0004 -427Banco Guanabara SA N 0051 0023 0161 0025 0780 0004 -5659Banco Cedula SA N 0069 0012 0360 0065 0735 0003 -1028Banco Cacique SA N 0073 0027 0240 0075 0786 0016 -1327Banco Luso Brasileiro SA N 0065 0026 0242 0047 0852 0004 -346Banco Pecunia SA N 0045 0037 0056 0006 0773 0003 -7139Banco Zogbi SA N 0048 0036 0064 0010 0779 0001 -15057Banco Daycoval SA N 0055 0022 0126 0030 0784 0004 -568Banco John Deere SA N 0056 0018 0125 0031 0757 0003 -8084Banco AJ Renner SA N 0051 0025 0077 0013 0829 0006 -2763ABN Amro F 0053 0038 0074 0013 0909 0002 -4803Chase F 0066 0014 0220 0046 0793 0008 -2711LLoyds F 0050 0026 0060 0011 0825 0003 -5323BankBoston F 0054 0038 0092 0018 0899 0006 -1734Santander Brasil F 0056 0033 0098 0019 0885 0007 -1529Citibank F 0059 0025 0145 0030 0872 0003 -421BNL F 0052 0039 0091 0018 0840 0006 -2854Sudameris F 0053 0046 0062 0005 0961 0011 -352Societe Generale F 0058 0023 0144 0028 0827 0006 -2968Europeu F 0052 0031 0069 0012 0849 0007 -23ABC-Brasil F 0051 0028 0091 0015 0815 0003 -6225Dresdner F 0078 0017 0271 0071 0816 0005 -339AGF Braseg F 0050 0030 0094 0015 0797 0004 -4873HSBC F 0057 0045 0116 0016 0966 0006 -562Deutsche F 0066 0013 0151 0034 0858 0004 -3316BNP Paribas F 0050 0036 0071 0010 0823 0005 -3772Barclays F 0057 0024 0102 0025 0777 0007 -3003Rabobank Int Brasil SA F 0057 0021 0157 0026 0842 0003 -5266B Nat de Paris Brasil SA F 0059 0023 0102 0030 0812 0006 -3387Ibibank SA - Banco Multiplo F 0056 0012 0100 0023 0781 0015 -148Dresdner Bank - B Multiplo F 0084 0016 0237 0064 0771 0008 -2798Banco Westlb Do Brasil SA F 0061 0033 0101 0025 0841 0010 -1646Banco GE Capital SA F 0063 0031 0238 0044 0853 0010 -1548B Com Uruguai SA F 0074 0020 0226 0056 0833 0003 -51921S - State-owned bank N - National bank and F - Foreign bank

48

Table A10 Estimates of Lerner index and return to scale by bank - Model (5)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0043 0093 0012 0940 0007 -834Banrisul S 0054 0041 0083 0009 0949 0008 -668BEC S 0046 0020 0075 0014 0846 0009 -1719BRB S 0058 0032 0121 0017 0960 0002 -1607BB S 0056 0037 0087 0010 0981 0006 -321Caixa Economica Federal S 0061 0050 0156 0019 1044 0003 1282B da Amazonia SA S 0057 0016 0115 0023 0843 0008 -2023B do Estado Do Para SA S 0059 0027 0102 0020 0938 0004 -1608B do E Do Maranhao SA S 0052 0042 0064 0006 0939 0015 -418B do E Do Piauı SA - Bep S 0054 0029 0138 0025 0866 0004 -3097B do Estado De Sergipe SA S 0059 0024 0136 0020 0949 0004 -1404Nossa Caixa - N Banco SA S 0055 0036 0088 0013 0979 0004 -494Bradesco N 0056 0037 0108 0016 0918 0004 -2108Itau N 0058 0031 0213 0033 0894 0003 -3968Safra N 0052 0036 0086 0010 0881 0003 -4388Unibanco N 0053 0037 0085 0013 0892 0001 -7433Mercantil Do Brasil N 0057 0027 0086 0012 0943 0002 -2619BBM N 0075 0015 0292 0063 0784 0005 -447BMC N 0050 0029 0077 0012 0846 0003 -4648BMG N 0067 0017 0220 0051 0777 0003 -7116JMalucelli N 0049 0022 0083 0016 0718 0003 -8879PEBB N 0060 0017 0176 0044 0704 0008 -3743SS N 0059 0032 0223 0041 0798 0007 -2847Sofisa N 0055 0021 0112 0022 0804 0002 -9624BIC N 0060 0032 0238 0041 0853 0005 -2725Schahin N 0055 0028 0228 0038 0836 0006 -2575Stock N 0082 0019 0267 0068 0821 0006 -3063Pine N 0052 0022 0096 0018 0808 0004 -5392Socopa N 0055 0027 0113 0016 0889 0003 -3694Intercap N 0060 0023 0210 0037 0814 0006 -2856Indusval N 0062 0029 0245 0044 0857 0005 -3023Bonsucesso N 0053 0020 0113 0022 0781 0005 -3999Industrial do Brasil N 0051 0030 0084 0016 0808 0002 -9274Votorantim N 0052 0037 0130 0022 0816 0008 -2227Cacique N 0049 0024 0065 0012 0775 0005 -4632Inter Amex N 0052 0034 0067 0011 0837 0007 -2236Alfa N 0047 0041 0056 0004 0804 0002 -11448Rendimento N 0053 0022 0079 0011 0874 0008 -1549Bancoob N 0056 0050 0064 0005 0856 0003 -4874Original N 0087 0018 0288 0093 0728 0006 -4259Banco Intermedium SA N 0055 0027 0078 0019 0744 0006 -4047

Table A10 ndash Continue on next page

49

Table A10 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0217 0048 0763 0003 -7417Banco BBN SA N 0051 0026 0075 0014 0820 0012 -1504B Cooperativo Sicredi SA N 0051 0040 0061 0005 0876 0005 -2499B Cooperativo do Brasil SA N 0054 0043 0136 0019 0912 0006 -1445Banco Topazio SA N 0061 0034 0109 0026 0838 0006 -2897Banco Gerador SA N 0073 0052 0124 0026 0855 0008 -1918Banco Randon SA N 0120 0024 0327 0114 0785 0005 -4153Parana Banco SA N 0048 0026 0106 0020 0786 0008 -2732Banco Triangulo SA N 0055 0027 0111 0022 0834 0004 -4227Banco Guanabara SA N 0052 0024 0153 0024 0779 0004 -5589Banco Cedula SA N 0069 0012 0339 0062 0734 0003 -10232Banco Cacique SA N 0076 0027 0246 0076 0785 0016 -1317Banco Luso Brasileiro SA N 0067 0027 0207 0047 0852 0004 -3379Banco Pecunia SA N 0046 0038 0054 0006 0773 0003 -71Banco Zogbi SA N 0047 0037 0061 0010 0778 0001 -14931Banco Daycoval SA N 0054 0022 0126 0026 0782 0004 -5661Banco John Deere SA N 0056 0018 0129 0031 0756 0003 -8043Banco AJ Renner SA N 0053 0025 0080 0015 0829 0006 -2716ABN Amro F 0053 0038 0074 0012 0908 0002 -4751Chase F 0067 0014 0225 0047 0792 0008 -2693LLoyds F 0049 0025 0064 0012 0824 0003 -5227BankBoston F 0054 0037 0096 0020 0899 0006 -1701Santander Brasil F 0057 0033 0103 0019 0884 0008 -1511Citibank F 0059 0026 0154 0028 0871 0003 -4204BNL F 0052 0037 0097 0020 0840 0006 -28Sudameris F 0052 0045 0058 0005 0962 0011 -334Societe Generale F 0060 0023 0151 0031 0827 0006 -2924Europeu F 0050 0032 0066 0012 0849 0007 -2263ABC-Brasil F 0051 0025 0079 0014 0814 0003 -617Dresdner F 0080 0017 0276 0073 0816 0005 -3374AGF Braseg F 0050 0031 0093 0015 0796 0004 -4812HSBC F 0057 0043 0093 0011 0966 0006 -541Deutsche F 0066 0013 0155 0035 0858 0004 -3244BNP Paribas F 0050 0035 0067 0008 0822 0005 -3775Barclays F 0056 0024 0113 0025 0778 0007 -305Rabobank Int Brasil SA F 0057 0021 0163 0027 0842 0003 -5208B Nat de Paris Brasil SA F 0058 0022 0100 0029 0812 0006 -3343Ibibank SA - Banco Multiplo F 0057 0012 0099 0023 0780 0015 -1478Dresdner Bank - B Multiplo F 0087 0016 0244 0068 0770 0008 -2768Banco Westlb Do Brasil SA F 0063 0034 0106 0026 0841 0010 -1625Banco GE Capital SA F 0064 0032 0247 0046 0853 0010 -1522B Com Uruguai SA F 0073 0019 0191 0049 0833 0003 -50981S - State-owned bank N - National bank and F - Foreign bank

50

Table A11 Estimates of Lerner index and return to scale by bank - Model (6)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0036 0096 0015 0939 0007 -855Banrisul S 0050 0035 0098 0014 0938 0008 -82BEC S 0041 0019 0067 0012 0855 0009 -1644BRB S 0053 0029 0124 0018 0956 0002 -1996BB S 0051 0032 0088 0013 0954 0006 -807Caixa Economica Federal S 0054 0040 0094 0012 1014 0003 475B da Amazonia SA S 0053 0015 0103 0022 0846 0008 -205B do Estado Do Para SA S 0051 0028 0074 0013 0943 0004 -1319B do E Do Maranhao SA S 0041 0031 0059 0008 0950 0014 -346B do E Do Piauı SA - Bep S 0042 0028 0084 0012 0879 0004 -2727B do Estado De Sergipe SA S 0052 0022 0153 0022 0953 0003 -1377Nossa Caixa - N Banco SA S 0047 0032 0081 0014 0969 0004 -74Bradesco N 0052 0032 0097 0019 0898 0004 -2645Itau N 0054 0027 0190 0031 0877 0003 -4452Safra N 0049 0032 0100 0015 0872 0003 -5056Unibanco N 0043 0032 0067 0010 0878 0001 -8666Mercantil Do Brasil N 0053 0026 0087 0017 0938 0002 -3104BBM N 0066 0013 0251 0056 0792 0005 -4556BMC N 0041 0026 0069 0011 0850 0003 -4582BMG N 0067 0016 0228 0057 0781 0003 -6611JMalucelli N 0051 0022 0089 0017 0725 0003 -9344PEBB N 0046 0015 0157 0039 0728 0008 -3313SS N 0058 0025 0230 0046 0801 0007 -292Sofisa N 0053 0020 0119 0025 0809 0002 -8846BIC N 0060 0029 0262 0049 0852 0005 -2697Schahin N 0049 0025 0229 0040 0843 0006 -2523Stock N 0081 0017 0284 0072 0836 0005 -2986Pine N 0049 0021 0112 0019 0812 0004 -5267Socopa N 0050 0026 0095 0015 0900 0003 -3515Intercap N 0055 0021 0196 0035 0828 0006 -2899Indusval N 0061 0029 0262 0049 0863 0005 -2762Bonsucesso N 0052 0019 0123 0026 0791 0005 -3885Industrial do Brasil N 0046 0027 0088 0015 0816 0002 -8698Votorantim N 0051 0027 0139 0027 0813 0007 -262Cacique N 0039 0022 0050 0009 0784 0005 -4707Inter Amex N 0045 0027 0064 0012 0843 0006 -2493Alfa N 0044 0033 0068 0009 0805 0002 -12111Rendimento N 0050 0022 0073 0010 0883 0008 -1543Bancoob N 0066 0055 0072 0007 0856 0003 -4559Original N 0098 0020 0294 0094 0735 0006 -4509Banco Intermedium SA N 0057 0024 0085 0022 0756 0006 -4324

Table A11 ndash Continue on next page

51

Table A11 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0061 0017 0195 0048 0777 0003 -7233Banco BBN SA N 0042 0023 0059 0012 0831 0011 -1529B Cooperativo Sicredi SA N 0048 0035 0066 0009 0879 0005 -2672B Cooperativo do Brasil SA N 0046 0034 0119 0017 0917 0006 -1439Banco Topazio SA N 0070 0031 0129 0036 0853 0005 -2776Banco Gerador SA N 0086 0057 0148 0034 0867 0007 -1825Banco Randon SA N 0126 0028 0331 0114 0799 0005 -4136Parana Banco SA N 0039 0023 0082 0015 0798 0008 -2556Banco Triangulo SA N 0052 0025 0116 0025 0840 0004 -4363Banco Guanabara SA N 0048 0021 0100 0019 0792 0004 -5683Banco Cedula SA N 0067 0013 0356 0067 0749 0002 -10205Banco Cacique SA N 0067 0026 0232 0073 0792 0015 -1356Banco Luso Brasileiro SA N 0065 0025 0237 0052 0864 0004 -3163Banco Pecunia SA N 0037 0029 0045 0006 0786 0003 -7158Banco Zogbi SA N 0037 0027 0045 0007 0785 0002 -13921Banco Daycoval SA N 0053 0020 0120 0031 0787 0003 -6088Banco John Deere SA N 0043 0017 0099 0022 0764 0003 -8346Banco AJ Renner SA N 0050 0025 0080 0013 0840 0006 -2706ABN Amro F 0043 0035 0067 0008 0894 0002 -6685Chase F 0059 0014 0189 0040 0803 0007 -2772LLoyds F 0039 0021 0055 0012 0824 0003 -5536BankBoston F 0044 0029 0075 0015 0890 0006 -1965Santander Brasil F 0054 0028 0107 0024 0871 0008 -1694Citibank F 0054 0023 0133 0026 0863 0003 -4787BNL F 0042 0028 0078 0018 0843 0005 -2998Sudameris F 0041 0036 0052 0006 0948 0010 -491Societe Generale F 0054 0020 0118 0025 0834 0006 -2716Europeu F 0038 0029 0049 0008 0856 0006 -2239ABC-Brasil F 0046 0028 0084 0014 0816 0003 -6111Dresdner F 0063 0015 0239 0061 0823 0005 -3888AGF Braseg F 0047 0027 0074 0014 0807 0004 -4477HSBC F 0054 0032 0109 0018 0950 0006 -823Deutsche F 0058 0013 0122 0028 0863 0004 -305BNP Paribas F 0051 0032 0070 0011 0822 0004 -4145Barclays F 0064 0024 0128 0029 0802 0005 -4051Rabobank Int Brasil SA F 0051 0019 0130 0021 0846 0003 -4992B Nat de Paris Brasil SA F 0043 0019 0070 0019 0819 0005 -3429Ibibank SA - Banco Multiplo F 0049 0010 0083 0020 0785 0013 -161Dresdner Bank - B Multiplo F 0087 0016 0261 0066 0783 0007 -2901Banco Westlb Do Brasil SA F 0051 0030 0082 0019 0850 0009 -1643Banco GE Capital SA F 0053 0028 0239 0044 0859 0009 -1544B Com Uruguai SA F 0071 0017 0217 0054 0845 0003 -48451S - State-owned bank N - National bank and F - Foreign bank

52

Seacuterie de Textos para Discussatildeo do Curso de Ciecircncias Econocircmicas ndash FACEUFG ndash TD [078]

EDITORIAL FACE ndash Faculdade de Administraccedilatildeo Ciecircncias Contaacutebeis e Ciecircncias Econocircmicas Curso de Ciecircncias Econocircmicas Direccedilatildeo FACE Prof Moiseacutes Ferreira da Cunha Vice-Direccedilatildeo FACE Profordf Andreacutea Freire de Lucena Coordenaccedilatildeo do Curso de Ciecircncias Econocircmicas Prof Tiago Camarinha Lopes NEPEC ndash Nuacutecleo de Estudos e Pesquisas Econocircmicas Coordenaccedilatildeo Prof Seacutergio Fornazier Meyrelles Filho SEacuteRIE DE TEXTOS PARA DISCUSSAtildeO DO CURSO DE CIEcircNCIAS ECONOcircMICAS DA UFG Coordenaccedilatildeo e Equipe de Editoraccedilatildeo Prof Sandro Eduardo Monsueto Adriana Moura Guimaratildees Matheus Henrique de Arauacutejo Dutra

Endereccedilo Campus Samambaia Preacutedio da FACE ndash Rodovia GoiacircniaNova Veneza km 0 ndash CEP 74690-900 Goiacircnia ndash GO Tel (62) 3521 ndash 1390 URL httpwwwfaceufgbreconomia Publicaccedilatildeo cujo objetivo eacute divulgar resultados de estudos que contam com a participaccedilatildeo de pesquisadores do NEPEC As opiniotildees contidas nesta publicaccedilatildeo satildeo de inteira responsabilidade do(s) autor(es) natildeo representando necessariamente o ponto de vista do NEPEC ou da FACEUFG Eacute permitida a reproduccedilatildeo desde que citada a fonte

Page 50: 1(3(& )$&( 8)* · The Dark Side of Prudential MeasuresI Paulo R. Scalco a, Benjamin M. Tabak1, Anderson M. Teixeira aFaculty of Management, Accounting and Economics, Federal University

Table A9 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0064 0019 0220 0050 0764 0003 -7516Banco BBN SA N 0050 0027 0072 0013 0819 0012 -1529B Cooperativo Sicredi SA N 0051 0041 0068 0006 0875 0005 -2551B Cooperativo do Brasil SA N 0053 0044 0134 0018 0910 0006 -151Banco Topazio SA N 0066 0035 0128 0036 0837 0005 -2981Banco Gerador SA N 0082 0045 0157 0043 0854 0007 -1967Banco Randon SA N 0106 0026 0312 0105 0786 0005 -4204Parana Banco SA N 0048 0025 0102 0018 0787 0008 -2768Banco Triangulo SA N 0054 0027 0088 0021 0834 0004 -427Banco Guanabara SA N 0051 0023 0161 0025 0780 0004 -5659Banco Cedula SA N 0069 0012 0360 0065 0735 0003 -1028Banco Cacique SA N 0073 0027 0240 0075 0786 0016 -1327Banco Luso Brasileiro SA N 0065 0026 0242 0047 0852 0004 -346Banco Pecunia SA N 0045 0037 0056 0006 0773 0003 -7139Banco Zogbi SA N 0048 0036 0064 0010 0779 0001 -15057Banco Daycoval SA N 0055 0022 0126 0030 0784 0004 -568Banco John Deere SA N 0056 0018 0125 0031 0757 0003 -8084Banco AJ Renner SA N 0051 0025 0077 0013 0829 0006 -2763ABN Amro F 0053 0038 0074 0013 0909 0002 -4803Chase F 0066 0014 0220 0046 0793 0008 -2711LLoyds F 0050 0026 0060 0011 0825 0003 -5323BankBoston F 0054 0038 0092 0018 0899 0006 -1734Santander Brasil F 0056 0033 0098 0019 0885 0007 -1529Citibank F 0059 0025 0145 0030 0872 0003 -421BNL F 0052 0039 0091 0018 0840 0006 -2854Sudameris F 0053 0046 0062 0005 0961 0011 -352Societe Generale F 0058 0023 0144 0028 0827 0006 -2968Europeu F 0052 0031 0069 0012 0849 0007 -23ABC-Brasil F 0051 0028 0091 0015 0815 0003 -6225Dresdner F 0078 0017 0271 0071 0816 0005 -339AGF Braseg F 0050 0030 0094 0015 0797 0004 -4873HSBC F 0057 0045 0116 0016 0966 0006 -562Deutsche F 0066 0013 0151 0034 0858 0004 -3316BNP Paribas F 0050 0036 0071 0010 0823 0005 -3772Barclays F 0057 0024 0102 0025 0777 0007 -3003Rabobank Int Brasil SA F 0057 0021 0157 0026 0842 0003 -5266B Nat de Paris Brasil SA F 0059 0023 0102 0030 0812 0006 -3387Ibibank SA - Banco Multiplo F 0056 0012 0100 0023 0781 0015 -148Dresdner Bank - B Multiplo F 0084 0016 0237 0064 0771 0008 -2798Banco Westlb Do Brasil SA F 0061 0033 0101 0025 0841 0010 -1646Banco GE Capital SA F 0063 0031 0238 0044 0853 0010 -1548B Com Uruguai SA F 0074 0020 0226 0056 0833 0003 -51921S - State-owned bank N - National bank and F - Foreign bank

48

Table A10 Estimates of Lerner index and return to scale by bank - Model (5)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0043 0093 0012 0940 0007 -834Banrisul S 0054 0041 0083 0009 0949 0008 -668BEC S 0046 0020 0075 0014 0846 0009 -1719BRB S 0058 0032 0121 0017 0960 0002 -1607BB S 0056 0037 0087 0010 0981 0006 -321Caixa Economica Federal S 0061 0050 0156 0019 1044 0003 1282B da Amazonia SA S 0057 0016 0115 0023 0843 0008 -2023B do Estado Do Para SA S 0059 0027 0102 0020 0938 0004 -1608B do E Do Maranhao SA S 0052 0042 0064 0006 0939 0015 -418B do E Do Piauı SA - Bep S 0054 0029 0138 0025 0866 0004 -3097B do Estado De Sergipe SA S 0059 0024 0136 0020 0949 0004 -1404Nossa Caixa - N Banco SA S 0055 0036 0088 0013 0979 0004 -494Bradesco N 0056 0037 0108 0016 0918 0004 -2108Itau N 0058 0031 0213 0033 0894 0003 -3968Safra N 0052 0036 0086 0010 0881 0003 -4388Unibanco N 0053 0037 0085 0013 0892 0001 -7433Mercantil Do Brasil N 0057 0027 0086 0012 0943 0002 -2619BBM N 0075 0015 0292 0063 0784 0005 -447BMC N 0050 0029 0077 0012 0846 0003 -4648BMG N 0067 0017 0220 0051 0777 0003 -7116JMalucelli N 0049 0022 0083 0016 0718 0003 -8879PEBB N 0060 0017 0176 0044 0704 0008 -3743SS N 0059 0032 0223 0041 0798 0007 -2847Sofisa N 0055 0021 0112 0022 0804 0002 -9624BIC N 0060 0032 0238 0041 0853 0005 -2725Schahin N 0055 0028 0228 0038 0836 0006 -2575Stock N 0082 0019 0267 0068 0821 0006 -3063Pine N 0052 0022 0096 0018 0808 0004 -5392Socopa N 0055 0027 0113 0016 0889 0003 -3694Intercap N 0060 0023 0210 0037 0814 0006 -2856Indusval N 0062 0029 0245 0044 0857 0005 -3023Bonsucesso N 0053 0020 0113 0022 0781 0005 -3999Industrial do Brasil N 0051 0030 0084 0016 0808 0002 -9274Votorantim N 0052 0037 0130 0022 0816 0008 -2227Cacique N 0049 0024 0065 0012 0775 0005 -4632Inter Amex N 0052 0034 0067 0011 0837 0007 -2236Alfa N 0047 0041 0056 0004 0804 0002 -11448Rendimento N 0053 0022 0079 0011 0874 0008 -1549Bancoob N 0056 0050 0064 0005 0856 0003 -4874Original N 0087 0018 0288 0093 0728 0006 -4259Banco Intermedium SA N 0055 0027 0078 0019 0744 0006 -4047

Table A10 ndash Continue on next page

49

Table A10 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0217 0048 0763 0003 -7417Banco BBN SA N 0051 0026 0075 0014 0820 0012 -1504B Cooperativo Sicredi SA N 0051 0040 0061 0005 0876 0005 -2499B Cooperativo do Brasil SA N 0054 0043 0136 0019 0912 0006 -1445Banco Topazio SA N 0061 0034 0109 0026 0838 0006 -2897Banco Gerador SA N 0073 0052 0124 0026 0855 0008 -1918Banco Randon SA N 0120 0024 0327 0114 0785 0005 -4153Parana Banco SA N 0048 0026 0106 0020 0786 0008 -2732Banco Triangulo SA N 0055 0027 0111 0022 0834 0004 -4227Banco Guanabara SA N 0052 0024 0153 0024 0779 0004 -5589Banco Cedula SA N 0069 0012 0339 0062 0734 0003 -10232Banco Cacique SA N 0076 0027 0246 0076 0785 0016 -1317Banco Luso Brasileiro SA N 0067 0027 0207 0047 0852 0004 -3379Banco Pecunia SA N 0046 0038 0054 0006 0773 0003 -71Banco Zogbi SA N 0047 0037 0061 0010 0778 0001 -14931Banco Daycoval SA N 0054 0022 0126 0026 0782 0004 -5661Banco John Deere SA N 0056 0018 0129 0031 0756 0003 -8043Banco AJ Renner SA N 0053 0025 0080 0015 0829 0006 -2716ABN Amro F 0053 0038 0074 0012 0908 0002 -4751Chase F 0067 0014 0225 0047 0792 0008 -2693LLoyds F 0049 0025 0064 0012 0824 0003 -5227BankBoston F 0054 0037 0096 0020 0899 0006 -1701Santander Brasil F 0057 0033 0103 0019 0884 0008 -1511Citibank F 0059 0026 0154 0028 0871 0003 -4204BNL F 0052 0037 0097 0020 0840 0006 -28Sudameris F 0052 0045 0058 0005 0962 0011 -334Societe Generale F 0060 0023 0151 0031 0827 0006 -2924Europeu F 0050 0032 0066 0012 0849 0007 -2263ABC-Brasil F 0051 0025 0079 0014 0814 0003 -617Dresdner F 0080 0017 0276 0073 0816 0005 -3374AGF Braseg F 0050 0031 0093 0015 0796 0004 -4812HSBC F 0057 0043 0093 0011 0966 0006 -541Deutsche F 0066 0013 0155 0035 0858 0004 -3244BNP Paribas F 0050 0035 0067 0008 0822 0005 -3775Barclays F 0056 0024 0113 0025 0778 0007 -305Rabobank Int Brasil SA F 0057 0021 0163 0027 0842 0003 -5208B Nat de Paris Brasil SA F 0058 0022 0100 0029 0812 0006 -3343Ibibank SA - Banco Multiplo F 0057 0012 0099 0023 0780 0015 -1478Dresdner Bank - B Multiplo F 0087 0016 0244 0068 0770 0008 -2768Banco Westlb Do Brasil SA F 0063 0034 0106 0026 0841 0010 -1625Banco GE Capital SA F 0064 0032 0247 0046 0853 0010 -1522B Com Uruguai SA F 0073 0019 0191 0049 0833 0003 -50981S - State-owned bank N - National bank and F - Foreign bank

50

Table A11 Estimates of Lerner index and return to scale by bank - Model (6)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0036 0096 0015 0939 0007 -855Banrisul S 0050 0035 0098 0014 0938 0008 -82BEC S 0041 0019 0067 0012 0855 0009 -1644BRB S 0053 0029 0124 0018 0956 0002 -1996BB S 0051 0032 0088 0013 0954 0006 -807Caixa Economica Federal S 0054 0040 0094 0012 1014 0003 475B da Amazonia SA S 0053 0015 0103 0022 0846 0008 -205B do Estado Do Para SA S 0051 0028 0074 0013 0943 0004 -1319B do E Do Maranhao SA S 0041 0031 0059 0008 0950 0014 -346B do E Do Piauı SA - Bep S 0042 0028 0084 0012 0879 0004 -2727B do Estado De Sergipe SA S 0052 0022 0153 0022 0953 0003 -1377Nossa Caixa - N Banco SA S 0047 0032 0081 0014 0969 0004 -74Bradesco N 0052 0032 0097 0019 0898 0004 -2645Itau N 0054 0027 0190 0031 0877 0003 -4452Safra N 0049 0032 0100 0015 0872 0003 -5056Unibanco N 0043 0032 0067 0010 0878 0001 -8666Mercantil Do Brasil N 0053 0026 0087 0017 0938 0002 -3104BBM N 0066 0013 0251 0056 0792 0005 -4556BMC N 0041 0026 0069 0011 0850 0003 -4582BMG N 0067 0016 0228 0057 0781 0003 -6611JMalucelli N 0051 0022 0089 0017 0725 0003 -9344PEBB N 0046 0015 0157 0039 0728 0008 -3313SS N 0058 0025 0230 0046 0801 0007 -292Sofisa N 0053 0020 0119 0025 0809 0002 -8846BIC N 0060 0029 0262 0049 0852 0005 -2697Schahin N 0049 0025 0229 0040 0843 0006 -2523Stock N 0081 0017 0284 0072 0836 0005 -2986Pine N 0049 0021 0112 0019 0812 0004 -5267Socopa N 0050 0026 0095 0015 0900 0003 -3515Intercap N 0055 0021 0196 0035 0828 0006 -2899Indusval N 0061 0029 0262 0049 0863 0005 -2762Bonsucesso N 0052 0019 0123 0026 0791 0005 -3885Industrial do Brasil N 0046 0027 0088 0015 0816 0002 -8698Votorantim N 0051 0027 0139 0027 0813 0007 -262Cacique N 0039 0022 0050 0009 0784 0005 -4707Inter Amex N 0045 0027 0064 0012 0843 0006 -2493Alfa N 0044 0033 0068 0009 0805 0002 -12111Rendimento N 0050 0022 0073 0010 0883 0008 -1543Bancoob N 0066 0055 0072 0007 0856 0003 -4559Original N 0098 0020 0294 0094 0735 0006 -4509Banco Intermedium SA N 0057 0024 0085 0022 0756 0006 -4324

Table A11 ndash Continue on next page

51

Table A11 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0061 0017 0195 0048 0777 0003 -7233Banco BBN SA N 0042 0023 0059 0012 0831 0011 -1529B Cooperativo Sicredi SA N 0048 0035 0066 0009 0879 0005 -2672B Cooperativo do Brasil SA N 0046 0034 0119 0017 0917 0006 -1439Banco Topazio SA N 0070 0031 0129 0036 0853 0005 -2776Banco Gerador SA N 0086 0057 0148 0034 0867 0007 -1825Banco Randon SA N 0126 0028 0331 0114 0799 0005 -4136Parana Banco SA N 0039 0023 0082 0015 0798 0008 -2556Banco Triangulo SA N 0052 0025 0116 0025 0840 0004 -4363Banco Guanabara SA N 0048 0021 0100 0019 0792 0004 -5683Banco Cedula SA N 0067 0013 0356 0067 0749 0002 -10205Banco Cacique SA N 0067 0026 0232 0073 0792 0015 -1356Banco Luso Brasileiro SA N 0065 0025 0237 0052 0864 0004 -3163Banco Pecunia SA N 0037 0029 0045 0006 0786 0003 -7158Banco Zogbi SA N 0037 0027 0045 0007 0785 0002 -13921Banco Daycoval SA N 0053 0020 0120 0031 0787 0003 -6088Banco John Deere SA N 0043 0017 0099 0022 0764 0003 -8346Banco AJ Renner SA N 0050 0025 0080 0013 0840 0006 -2706ABN Amro F 0043 0035 0067 0008 0894 0002 -6685Chase F 0059 0014 0189 0040 0803 0007 -2772LLoyds F 0039 0021 0055 0012 0824 0003 -5536BankBoston F 0044 0029 0075 0015 0890 0006 -1965Santander Brasil F 0054 0028 0107 0024 0871 0008 -1694Citibank F 0054 0023 0133 0026 0863 0003 -4787BNL F 0042 0028 0078 0018 0843 0005 -2998Sudameris F 0041 0036 0052 0006 0948 0010 -491Societe Generale F 0054 0020 0118 0025 0834 0006 -2716Europeu F 0038 0029 0049 0008 0856 0006 -2239ABC-Brasil F 0046 0028 0084 0014 0816 0003 -6111Dresdner F 0063 0015 0239 0061 0823 0005 -3888AGF Braseg F 0047 0027 0074 0014 0807 0004 -4477HSBC F 0054 0032 0109 0018 0950 0006 -823Deutsche F 0058 0013 0122 0028 0863 0004 -305BNP Paribas F 0051 0032 0070 0011 0822 0004 -4145Barclays F 0064 0024 0128 0029 0802 0005 -4051Rabobank Int Brasil SA F 0051 0019 0130 0021 0846 0003 -4992B Nat de Paris Brasil SA F 0043 0019 0070 0019 0819 0005 -3429Ibibank SA - Banco Multiplo F 0049 0010 0083 0020 0785 0013 -161Dresdner Bank - B Multiplo F 0087 0016 0261 0066 0783 0007 -2901Banco Westlb Do Brasil SA F 0051 0030 0082 0019 0850 0009 -1643Banco GE Capital SA F 0053 0028 0239 0044 0859 0009 -1544B Com Uruguai SA F 0071 0017 0217 0054 0845 0003 -48451S - State-owned bank N - National bank and F - Foreign bank

52

Seacuterie de Textos para Discussatildeo do Curso de Ciecircncias Econocircmicas ndash FACEUFG ndash TD [078]

EDITORIAL FACE ndash Faculdade de Administraccedilatildeo Ciecircncias Contaacutebeis e Ciecircncias Econocircmicas Curso de Ciecircncias Econocircmicas Direccedilatildeo FACE Prof Moiseacutes Ferreira da Cunha Vice-Direccedilatildeo FACE Profordf Andreacutea Freire de Lucena Coordenaccedilatildeo do Curso de Ciecircncias Econocircmicas Prof Tiago Camarinha Lopes NEPEC ndash Nuacutecleo de Estudos e Pesquisas Econocircmicas Coordenaccedilatildeo Prof Seacutergio Fornazier Meyrelles Filho SEacuteRIE DE TEXTOS PARA DISCUSSAtildeO DO CURSO DE CIEcircNCIAS ECONOcircMICAS DA UFG Coordenaccedilatildeo e Equipe de Editoraccedilatildeo Prof Sandro Eduardo Monsueto Adriana Moura Guimaratildees Matheus Henrique de Arauacutejo Dutra

Endereccedilo Campus Samambaia Preacutedio da FACE ndash Rodovia GoiacircniaNova Veneza km 0 ndash CEP 74690-900 Goiacircnia ndash GO Tel (62) 3521 ndash 1390 URL httpwwwfaceufgbreconomia Publicaccedilatildeo cujo objetivo eacute divulgar resultados de estudos que contam com a participaccedilatildeo de pesquisadores do NEPEC As opiniotildees contidas nesta publicaccedilatildeo satildeo de inteira responsabilidade do(s) autor(es) natildeo representando necessariamente o ponto de vista do NEPEC ou da FACEUFG Eacute permitida a reproduccedilatildeo desde que citada a fonte

Page 51: 1(3(& )$&( 8)* · The Dark Side of Prudential MeasuresI Paulo R. Scalco a, Benjamin M. Tabak1, Anderson M. Teixeira aFaculty of Management, Accounting and Economics, Federal University

Table A10 Estimates of Lerner index and return to scale by bank - Model (5)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0055 0043 0093 0012 0940 0007 -834Banrisul S 0054 0041 0083 0009 0949 0008 -668BEC S 0046 0020 0075 0014 0846 0009 -1719BRB S 0058 0032 0121 0017 0960 0002 -1607BB S 0056 0037 0087 0010 0981 0006 -321Caixa Economica Federal S 0061 0050 0156 0019 1044 0003 1282B da Amazonia SA S 0057 0016 0115 0023 0843 0008 -2023B do Estado Do Para SA S 0059 0027 0102 0020 0938 0004 -1608B do E Do Maranhao SA S 0052 0042 0064 0006 0939 0015 -418B do E Do Piauı SA - Bep S 0054 0029 0138 0025 0866 0004 -3097B do Estado De Sergipe SA S 0059 0024 0136 0020 0949 0004 -1404Nossa Caixa - N Banco SA S 0055 0036 0088 0013 0979 0004 -494Bradesco N 0056 0037 0108 0016 0918 0004 -2108Itau N 0058 0031 0213 0033 0894 0003 -3968Safra N 0052 0036 0086 0010 0881 0003 -4388Unibanco N 0053 0037 0085 0013 0892 0001 -7433Mercantil Do Brasil N 0057 0027 0086 0012 0943 0002 -2619BBM N 0075 0015 0292 0063 0784 0005 -447BMC N 0050 0029 0077 0012 0846 0003 -4648BMG N 0067 0017 0220 0051 0777 0003 -7116JMalucelli N 0049 0022 0083 0016 0718 0003 -8879PEBB N 0060 0017 0176 0044 0704 0008 -3743SS N 0059 0032 0223 0041 0798 0007 -2847Sofisa N 0055 0021 0112 0022 0804 0002 -9624BIC N 0060 0032 0238 0041 0853 0005 -2725Schahin N 0055 0028 0228 0038 0836 0006 -2575Stock N 0082 0019 0267 0068 0821 0006 -3063Pine N 0052 0022 0096 0018 0808 0004 -5392Socopa N 0055 0027 0113 0016 0889 0003 -3694Intercap N 0060 0023 0210 0037 0814 0006 -2856Indusval N 0062 0029 0245 0044 0857 0005 -3023Bonsucesso N 0053 0020 0113 0022 0781 0005 -3999Industrial do Brasil N 0051 0030 0084 0016 0808 0002 -9274Votorantim N 0052 0037 0130 0022 0816 0008 -2227Cacique N 0049 0024 0065 0012 0775 0005 -4632Inter Amex N 0052 0034 0067 0011 0837 0007 -2236Alfa N 0047 0041 0056 0004 0804 0002 -11448Rendimento N 0053 0022 0079 0011 0874 0008 -1549Bancoob N 0056 0050 0064 0005 0856 0003 -4874Original N 0087 0018 0288 0093 0728 0006 -4259Banco Intermedium SA N 0055 0027 0078 0019 0744 0006 -4047

Table A10 ndash Continue on next page

49

Table A10 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0217 0048 0763 0003 -7417Banco BBN SA N 0051 0026 0075 0014 0820 0012 -1504B Cooperativo Sicredi SA N 0051 0040 0061 0005 0876 0005 -2499B Cooperativo do Brasil SA N 0054 0043 0136 0019 0912 0006 -1445Banco Topazio SA N 0061 0034 0109 0026 0838 0006 -2897Banco Gerador SA N 0073 0052 0124 0026 0855 0008 -1918Banco Randon SA N 0120 0024 0327 0114 0785 0005 -4153Parana Banco SA N 0048 0026 0106 0020 0786 0008 -2732Banco Triangulo SA N 0055 0027 0111 0022 0834 0004 -4227Banco Guanabara SA N 0052 0024 0153 0024 0779 0004 -5589Banco Cedula SA N 0069 0012 0339 0062 0734 0003 -10232Banco Cacique SA N 0076 0027 0246 0076 0785 0016 -1317Banco Luso Brasileiro SA N 0067 0027 0207 0047 0852 0004 -3379Banco Pecunia SA N 0046 0038 0054 0006 0773 0003 -71Banco Zogbi SA N 0047 0037 0061 0010 0778 0001 -14931Banco Daycoval SA N 0054 0022 0126 0026 0782 0004 -5661Banco John Deere SA N 0056 0018 0129 0031 0756 0003 -8043Banco AJ Renner SA N 0053 0025 0080 0015 0829 0006 -2716ABN Amro F 0053 0038 0074 0012 0908 0002 -4751Chase F 0067 0014 0225 0047 0792 0008 -2693LLoyds F 0049 0025 0064 0012 0824 0003 -5227BankBoston F 0054 0037 0096 0020 0899 0006 -1701Santander Brasil F 0057 0033 0103 0019 0884 0008 -1511Citibank F 0059 0026 0154 0028 0871 0003 -4204BNL F 0052 0037 0097 0020 0840 0006 -28Sudameris F 0052 0045 0058 0005 0962 0011 -334Societe Generale F 0060 0023 0151 0031 0827 0006 -2924Europeu F 0050 0032 0066 0012 0849 0007 -2263ABC-Brasil F 0051 0025 0079 0014 0814 0003 -617Dresdner F 0080 0017 0276 0073 0816 0005 -3374AGF Braseg F 0050 0031 0093 0015 0796 0004 -4812HSBC F 0057 0043 0093 0011 0966 0006 -541Deutsche F 0066 0013 0155 0035 0858 0004 -3244BNP Paribas F 0050 0035 0067 0008 0822 0005 -3775Barclays F 0056 0024 0113 0025 0778 0007 -305Rabobank Int Brasil SA F 0057 0021 0163 0027 0842 0003 -5208B Nat de Paris Brasil SA F 0058 0022 0100 0029 0812 0006 -3343Ibibank SA - Banco Multiplo F 0057 0012 0099 0023 0780 0015 -1478Dresdner Bank - B Multiplo F 0087 0016 0244 0068 0770 0008 -2768Banco Westlb Do Brasil SA F 0063 0034 0106 0026 0841 0010 -1625Banco GE Capital SA F 0064 0032 0247 0046 0853 0010 -1522B Com Uruguai SA F 0073 0019 0191 0049 0833 0003 -50981S - State-owned bank N - National bank and F - Foreign bank

50

Table A11 Estimates of Lerner index and return to scale by bank - Model (6)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0036 0096 0015 0939 0007 -855Banrisul S 0050 0035 0098 0014 0938 0008 -82BEC S 0041 0019 0067 0012 0855 0009 -1644BRB S 0053 0029 0124 0018 0956 0002 -1996BB S 0051 0032 0088 0013 0954 0006 -807Caixa Economica Federal S 0054 0040 0094 0012 1014 0003 475B da Amazonia SA S 0053 0015 0103 0022 0846 0008 -205B do Estado Do Para SA S 0051 0028 0074 0013 0943 0004 -1319B do E Do Maranhao SA S 0041 0031 0059 0008 0950 0014 -346B do E Do Piauı SA - Bep S 0042 0028 0084 0012 0879 0004 -2727B do Estado De Sergipe SA S 0052 0022 0153 0022 0953 0003 -1377Nossa Caixa - N Banco SA S 0047 0032 0081 0014 0969 0004 -74Bradesco N 0052 0032 0097 0019 0898 0004 -2645Itau N 0054 0027 0190 0031 0877 0003 -4452Safra N 0049 0032 0100 0015 0872 0003 -5056Unibanco N 0043 0032 0067 0010 0878 0001 -8666Mercantil Do Brasil N 0053 0026 0087 0017 0938 0002 -3104BBM N 0066 0013 0251 0056 0792 0005 -4556BMC N 0041 0026 0069 0011 0850 0003 -4582BMG N 0067 0016 0228 0057 0781 0003 -6611JMalucelli N 0051 0022 0089 0017 0725 0003 -9344PEBB N 0046 0015 0157 0039 0728 0008 -3313SS N 0058 0025 0230 0046 0801 0007 -292Sofisa N 0053 0020 0119 0025 0809 0002 -8846BIC N 0060 0029 0262 0049 0852 0005 -2697Schahin N 0049 0025 0229 0040 0843 0006 -2523Stock N 0081 0017 0284 0072 0836 0005 -2986Pine N 0049 0021 0112 0019 0812 0004 -5267Socopa N 0050 0026 0095 0015 0900 0003 -3515Intercap N 0055 0021 0196 0035 0828 0006 -2899Indusval N 0061 0029 0262 0049 0863 0005 -2762Bonsucesso N 0052 0019 0123 0026 0791 0005 -3885Industrial do Brasil N 0046 0027 0088 0015 0816 0002 -8698Votorantim N 0051 0027 0139 0027 0813 0007 -262Cacique N 0039 0022 0050 0009 0784 0005 -4707Inter Amex N 0045 0027 0064 0012 0843 0006 -2493Alfa N 0044 0033 0068 0009 0805 0002 -12111Rendimento N 0050 0022 0073 0010 0883 0008 -1543Bancoob N 0066 0055 0072 0007 0856 0003 -4559Original N 0098 0020 0294 0094 0735 0006 -4509Banco Intermedium SA N 0057 0024 0085 0022 0756 0006 -4324

Table A11 ndash Continue on next page

51

Table A11 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0061 0017 0195 0048 0777 0003 -7233Banco BBN SA N 0042 0023 0059 0012 0831 0011 -1529B Cooperativo Sicredi SA N 0048 0035 0066 0009 0879 0005 -2672B Cooperativo do Brasil SA N 0046 0034 0119 0017 0917 0006 -1439Banco Topazio SA N 0070 0031 0129 0036 0853 0005 -2776Banco Gerador SA N 0086 0057 0148 0034 0867 0007 -1825Banco Randon SA N 0126 0028 0331 0114 0799 0005 -4136Parana Banco SA N 0039 0023 0082 0015 0798 0008 -2556Banco Triangulo SA N 0052 0025 0116 0025 0840 0004 -4363Banco Guanabara SA N 0048 0021 0100 0019 0792 0004 -5683Banco Cedula SA N 0067 0013 0356 0067 0749 0002 -10205Banco Cacique SA N 0067 0026 0232 0073 0792 0015 -1356Banco Luso Brasileiro SA N 0065 0025 0237 0052 0864 0004 -3163Banco Pecunia SA N 0037 0029 0045 0006 0786 0003 -7158Banco Zogbi SA N 0037 0027 0045 0007 0785 0002 -13921Banco Daycoval SA N 0053 0020 0120 0031 0787 0003 -6088Banco John Deere SA N 0043 0017 0099 0022 0764 0003 -8346Banco AJ Renner SA N 0050 0025 0080 0013 0840 0006 -2706ABN Amro F 0043 0035 0067 0008 0894 0002 -6685Chase F 0059 0014 0189 0040 0803 0007 -2772LLoyds F 0039 0021 0055 0012 0824 0003 -5536BankBoston F 0044 0029 0075 0015 0890 0006 -1965Santander Brasil F 0054 0028 0107 0024 0871 0008 -1694Citibank F 0054 0023 0133 0026 0863 0003 -4787BNL F 0042 0028 0078 0018 0843 0005 -2998Sudameris F 0041 0036 0052 0006 0948 0010 -491Societe Generale F 0054 0020 0118 0025 0834 0006 -2716Europeu F 0038 0029 0049 0008 0856 0006 -2239ABC-Brasil F 0046 0028 0084 0014 0816 0003 -6111Dresdner F 0063 0015 0239 0061 0823 0005 -3888AGF Braseg F 0047 0027 0074 0014 0807 0004 -4477HSBC F 0054 0032 0109 0018 0950 0006 -823Deutsche F 0058 0013 0122 0028 0863 0004 -305BNP Paribas F 0051 0032 0070 0011 0822 0004 -4145Barclays F 0064 0024 0128 0029 0802 0005 -4051Rabobank Int Brasil SA F 0051 0019 0130 0021 0846 0003 -4992B Nat de Paris Brasil SA F 0043 0019 0070 0019 0819 0005 -3429Ibibank SA - Banco Multiplo F 0049 0010 0083 0020 0785 0013 -161Dresdner Bank - B Multiplo F 0087 0016 0261 0066 0783 0007 -2901Banco Westlb Do Brasil SA F 0051 0030 0082 0019 0850 0009 -1643Banco GE Capital SA F 0053 0028 0239 0044 0859 0009 -1544B Com Uruguai SA F 0071 0017 0217 0054 0845 0003 -48451S - State-owned bank N - National bank and F - Foreign bank

52

Seacuterie de Textos para Discussatildeo do Curso de Ciecircncias Econocircmicas ndash FACEUFG ndash TD [078]

EDITORIAL FACE ndash Faculdade de Administraccedilatildeo Ciecircncias Contaacutebeis e Ciecircncias Econocircmicas Curso de Ciecircncias Econocircmicas Direccedilatildeo FACE Prof Moiseacutes Ferreira da Cunha Vice-Direccedilatildeo FACE Profordf Andreacutea Freire de Lucena Coordenaccedilatildeo do Curso de Ciecircncias Econocircmicas Prof Tiago Camarinha Lopes NEPEC ndash Nuacutecleo de Estudos e Pesquisas Econocircmicas Coordenaccedilatildeo Prof Seacutergio Fornazier Meyrelles Filho SEacuteRIE DE TEXTOS PARA DISCUSSAtildeO DO CURSO DE CIEcircNCIAS ECONOcircMICAS DA UFG Coordenaccedilatildeo e Equipe de Editoraccedilatildeo Prof Sandro Eduardo Monsueto Adriana Moura Guimaratildees Matheus Henrique de Arauacutejo Dutra

Endereccedilo Campus Samambaia Preacutedio da FACE ndash Rodovia GoiacircniaNova Veneza km 0 ndash CEP 74690-900 Goiacircnia ndash GO Tel (62) 3521 ndash 1390 URL httpwwwfaceufgbreconomia Publicaccedilatildeo cujo objetivo eacute divulgar resultados de estudos que contam com a participaccedilatildeo de pesquisadores do NEPEC As opiniotildees contidas nesta publicaccedilatildeo satildeo de inteira responsabilidade do(s) autor(es) natildeo representando necessariamente o ponto de vista do NEPEC ou da FACEUFG Eacute permitida a reproduccedilatildeo desde que citada a fonte

Page 52: 1(3(& )$&( 8)* · The Dark Side of Prudential MeasuresI Paulo R. Scalco a, Benjamin M. Tabak1, Anderson M. Teixeira aFaculty of Management, Accounting and Economics, Federal University

Table A10 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0063 0020 0217 0048 0763 0003 -7417Banco BBN SA N 0051 0026 0075 0014 0820 0012 -1504B Cooperativo Sicredi SA N 0051 0040 0061 0005 0876 0005 -2499B Cooperativo do Brasil SA N 0054 0043 0136 0019 0912 0006 -1445Banco Topazio SA N 0061 0034 0109 0026 0838 0006 -2897Banco Gerador SA N 0073 0052 0124 0026 0855 0008 -1918Banco Randon SA N 0120 0024 0327 0114 0785 0005 -4153Parana Banco SA N 0048 0026 0106 0020 0786 0008 -2732Banco Triangulo SA N 0055 0027 0111 0022 0834 0004 -4227Banco Guanabara SA N 0052 0024 0153 0024 0779 0004 -5589Banco Cedula SA N 0069 0012 0339 0062 0734 0003 -10232Banco Cacique SA N 0076 0027 0246 0076 0785 0016 -1317Banco Luso Brasileiro SA N 0067 0027 0207 0047 0852 0004 -3379Banco Pecunia SA N 0046 0038 0054 0006 0773 0003 -71Banco Zogbi SA N 0047 0037 0061 0010 0778 0001 -14931Banco Daycoval SA N 0054 0022 0126 0026 0782 0004 -5661Banco John Deere SA N 0056 0018 0129 0031 0756 0003 -8043Banco AJ Renner SA N 0053 0025 0080 0015 0829 0006 -2716ABN Amro F 0053 0038 0074 0012 0908 0002 -4751Chase F 0067 0014 0225 0047 0792 0008 -2693LLoyds F 0049 0025 0064 0012 0824 0003 -5227BankBoston F 0054 0037 0096 0020 0899 0006 -1701Santander Brasil F 0057 0033 0103 0019 0884 0008 -1511Citibank F 0059 0026 0154 0028 0871 0003 -4204BNL F 0052 0037 0097 0020 0840 0006 -28Sudameris F 0052 0045 0058 0005 0962 0011 -334Societe Generale F 0060 0023 0151 0031 0827 0006 -2924Europeu F 0050 0032 0066 0012 0849 0007 -2263ABC-Brasil F 0051 0025 0079 0014 0814 0003 -617Dresdner F 0080 0017 0276 0073 0816 0005 -3374AGF Braseg F 0050 0031 0093 0015 0796 0004 -4812HSBC F 0057 0043 0093 0011 0966 0006 -541Deutsche F 0066 0013 0155 0035 0858 0004 -3244BNP Paribas F 0050 0035 0067 0008 0822 0005 -3775Barclays F 0056 0024 0113 0025 0778 0007 -305Rabobank Int Brasil SA F 0057 0021 0163 0027 0842 0003 -5208B Nat de Paris Brasil SA F 0058 0022 0100 0029 0812 0006 -3343Ibibank SA - Banco Multiplo F 0057 0012 0099 0023 0780 0015 -1478Dresdner Bank - B Multiplo F 0087 0016 0244 0068 0770 0008 -2768Banco Westlb Do Brasil SA F 0063 0034 0106 0026 0841 0010 -1625Banco GE Capital SA F 0064 0032 0247 0046 0853 0010 -1522B Com Uruguai SA F 0073 0019 0191 0049 0833 0003 -50981S - State-owned bank N - National bank and F - Foreign bank

50

Table A11 Estimates of Lerner index and return to scale by bank - Model (6)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0036 0096 0015 0939 0007 -855Banrisul S 0050 0035 0098 0014 0938 0008 -82BEC S 0041 0019 0067 0012 0855 0009 -1644BRB S 0053 0029 0124 0018 0956 0002 -1996BB S 0051 0032 0088 0013 0954 0006 -807Caixa Economica Federal S 0054 0040 0094 0012 1014 0003 475B da Amazonia SA S 0053 0015 0103 0022 0846 0008 -205B do Estado Do Para SA S 0051 0028 0074 0013 0943 0004 -1319B do E Do Maranhao SA S 0041 0031 0059 0008 0950 0014 -346B do E Do Piauı SA - Bep S 0042 0028 0084 0012 0879 0004 -2727B do Estado De Sergipe SA S 0052 0022 0153 0022 0953 0003 -1377Nossa Caixa - N Banco SA S 0047 0032 0081 0014 0969 0004 -74Bradesco N 0052 0032 0097 0019 0898 0004 -2645Itau N 0054 0027 0190 0031 0877 0003 -4452Safra N 0049 0032 0100 0015 0872 0003 -5056Unibanco N 0043 0032 0067 0010 0878 0001 -8666Mercantil Do Brasil N 0053 0026 0087 0017 0938 0002 -3104BBM N 0066 0013 0251 0056 0792 0005 -4556BMC N 0041 0026 0069 0011 0850 0003 -4582BMG N 0067 0016 0228 0057 0781 0003 -6611JMalucelli N 0051 0022 0089 0017 0725 0003 -9344PEBB N 0046 0015 0157 0039 0728 0008 -3313SS N 0058 0025 0230 0046 0801 0007 -292Sofisa N 0053 0020 0119 0025 0809 0002 -8846BIC N 0060 0029 0262 0049 0852 0005 -2697Schahin N 0049 0025 0229 0040 0843 0006 -2523Stock N 0081 0017 0284 0072 0836 0005 -2986Pine N 0049 0021 0112 0019 0812 0004 -5267Socopa N 0050 0026 0095 0015 0900 0003 -3515Intercap N 0055 0021 0196 0035 0828 0006 -2899Indusval N 0061 0029 0262 0049 0863 0005 -2762Bonsucesso N 0052 0019 0123 0026 0791 0005 -3885Industrial do Brasil N 0046 0027 0088 0015 0816 0002 -8698Votorantim N 0051 0027 0139 0027 0813 0007 -262Cacique N 0039 0022 0050 0009 0784 0005 -4707Inter Amex N 0045 0027 0064 0012 0843 0006 -2493Alfa N 0044 0033 0068 0009 0805 0002 -12111Rendimento N 0050 0022 0073 0010 0883 0008 -1543Bancoob N 0066 0055 0072 0007 0856 0003 -4559Original N 0098 0020 0294 0094 0735 0006 -4509Banco Intermedium SA N 0057 0024 0085 0022 0756 0006 -4324

Table A11 ndash Continue on next page

51

Table A11 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0061 0017 0195 0048 0777 0003 -7233Banco BBN SA N 0042 0023 0059 0012 0831 0011 -1529B Cooperativo Sicredi SA N 0048 0035 0066 0009 0879 0005 -2672B Cooperativo do Brasil SA N 0046 0034 0119 0017 0917 0006 -1439Banco Topazio SA N 0070 0031 0129 0036 0853 0005 -2776Banco Gerador SA N 0086 0057 0148 0034 0867 0007 -1825Banco Randon SA N 0126 0028 0331 0114 0799 0005 -4136Parana Banco SA N 0039 0023 0082 0015 0798 0008 -2556Banco Triangulo SA N 0052 0025 0116 0025 0840 0004 -4363Banco Guanabara SA N 0048 0021 0100 0019 0792 0004 -5683Banco Cedula SA N 0067 0013 0356 0067 0749 0002 -10205Banco Cacique SA N 0067 0026 0232 0073 0792 0015 -1356Banco Luso Brasileiro SA N 0065 0025 0237 0052 0864 0004 -3163Banco Pecunia SA N 0037 0029 0045 0006 0786 0003 -7158Banco Zogbi SA N 0037 0027 0045 0007 0785 0002 -13921Banco Daycoval SA N 0053 0020 0120 0031 0787 0003 -6088Banco John Deere SA N 0043 0017 0099 0022 0764 0003 -8346Banco AJ Renner SA N 0050 0025 0080 0013 0840 0006 -2706ABN Amro F 0043 0035 0067 0008 0894 0002 -6685Chase F 0059 0014 0189 0040 0803 0007 -2772LLoyds F 0039 0021 0055 0012 0824 0003 -5536BankBoston F 0044 0029 0075 0015 0890 0006 -1965Santander Brasil F 0054 0028 0107 0024 0871 0008 -1694Citibank F 0054 0023 0133 0026 0863 0003 -4787BNL F 0042 0028 0078 0018 0843 0005 -2998Sudameris F 0041 0036 0052 0006 0948 0010 -491Societe Generale F 0054 0020 0118 0025 0834 0006 -2716Europeu F 0038 0029 0049 0008 0856 0006 -2239ABC-Brasil F 0046 0028 0084 0014 0816 0003 -6111Dresdner F 0063 0015 0239 0061 0823 0005 -3888AGF Braseg F 0047 0027 0074 0014 0807 0004 -4477HSBC F 0054 0032 0109 0018 0950 0006 -823Deutsche F 0058 0013 0122 0028 0863 0004 -305BNP Paribas F 0051 0032 0070 0011 0822 0004 -4145Barclays F 0064 0024 0128 0029 0802 0005 -4051Rabobank Int Brasil SA F 0051 0019 0130 0021 0846 0003 -4992B Nat de Paris Brasil SA F 0043 0019 0070 0019 0819 0005 -3429Ibibank SA - Banco Multiplo F 0049 0010 0083 0020 0785 0013 -161Dresdner Bank - B Multiplo F 0087 0016 0261 0066 0783 0007 -2901Banco Westlb Do Brasil SA F 0051 0030 0082 0019 0850 0009 -1643Banco GE Capital SA F 0053 0028 0239 0044 0859 0009 -1544B Com Uruguai SA F 0071 0017 0217 0054 0845 0003 -48451S - State-owned bank N - National bank and F - Foreign bank

52

Seacuterie de Textos para Discussatildeo do Curso de Ciecircncias Econocircmicas ndash FACEUFG ndash TD [078]

EDITORIAL FACE ndash Faculdade de Administraccedilatildeo Ciecircncias Contaacutebeis e Ciecircncias Econocircmicas Curso de Ciecircncias Econocircmicas Direccedilatildeo FACE Prof Moiseacutes Ferreira da Cunha Vice-Direccedilatildeo FACE Profordf Andreacutea Freire de Lucena Coordenaccedilatildeo do Curso de Ciecircncias Econocircmicas Prof Tiago Camarinha Lopes NEPEC ndash Nuacutecleo de Estudos e Pesquisas Econocircmicas Coordenaccedilatildeo Prof Seacutergio Fornazier Meyrelles Filho SEacuteRIE DE TEXTOS PARA DISCUSSAtildeO DO CURSO DE CIEcircNCIAS ECONOcircMICAS DA UFG Coordenaccedilatildeo e Equipe de Editoraccedilatildeo Prof Sandro Eduardo Monsueto Adriana Moura Guimaratildees Matheus Henrique de Arauacutejo Dutra

Endereccedilo Campus Samambaia Preacutedio da FACE ndash Rodovia GoiacircniaNova Veneza km 0 ndash CEP 74690-900 Goiacircnia ndash GO Tel (62) 3521 ndash 1390 URL httpwwwfaceufgbreconomia Publicaccedilatildeo cujo objetivo eacute divulgar resultados de estudos que contam com a participaccedilatildeo de pesquisadores do NEPEC As opiniotildees contidas nesta publicaccedilatildeo satildeo de inteira responsabilidade do(s) autor(es) natildeo representando necessariamente o ponto de vista do NEPEC ou da FACEUFG Eacute permitida a reproduccedilatildeo desde que citada a fonte

Page 53: 1(3(& )$&( 8)* · The Dark Side of Prudential MeasuresI Paulo R. Scalco a, Benjamin M. Tabak1, Anderson M. Teixeira aFaculty of Management, Accounting and Economics, Federal University

Table A11 Estimates of Lerner index and return to scale by bank - Model (6)

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banestes S 0052 0036 0096 0015 0939 0007 -855Banrisul S 0050 0035 0098 0014 0938 0008 -82BEC S 0041 0019 0067 0012 0855 0009 -1644BRB S 0053 0029 0124 0018 0956 0002 -1996BB S 0051 0032 0088 0013 0954 0006 -807Caixa Economica Federal S 0054 0040 0094 0012 1014 0003 475B da Amazonia SA S 0053 0015 0103 0022 0846 0008 -205B do Estado Do Para SA S 0051 0028 0074 0013 0943 0004 -1319B do E Do Maranhao SA S 0041 0031 0059 0008 0950 0014 -346B do E Do Piauı SA - Bep S 0042 0028 0084 0012 0879 0004 -2727B do Estado De Sergipe SA S 0052 0022 0153 0022 0953 0003 -1377Nossa Caixa - N Banco SA S 0047 0032 0081 0014 0969 0004 -74Bradesco N 0052 0032 0097 0019 0898 0004 -2645Itau N 0054 0027 0190 0031 0877 0003 -4452Safra N 0049 0032 0100 0015 0872 0003 -5056Unibanco N 0043 0032 0067 0010 0878 0001 -8666Mercantil Do Brasil N 0053 0026 0087 0017 0938 0002 -3104BBM N 0066 0013 0251 0056 0792 0005 -4556BMC N 0041 0026 0069 0011 0850 0003 -4582BMG N 0067 0016 0228 0057 0781 0003 -6611JMalucelli N 0051 0022 0089 0017 0725 0003 -9344PEBB N 0046 0015 0157 0039 0728 0008 -3313SS N 0058 0025 0230 0046 0801 0007 -292Sofisa N 0053 0020 0119 0025 0809 0002 -8846BIC N 0060 0029 0262 0049 0852 0005 -2697Schahin N 0049 0025 0229 0040 0843 0006 -2523Stock N 0081 0017 0284 0072 0836 0005 -2986Pine N 0049 0021 0112 0019 0812 0004 -5267Socopa N 0050 0026 0095 0015 0900 0003 -3515Intercap N 0055 0021 0196 0035 0828 0006 -2899Indusval N 0061 0029 0262 0049 0863 0005 -2762Bonsucesso N 0052 0019 0123 0026 0791 0005 -3885Industrial do Brasil N 0046 0027 0088 0015 0816 0002 -8698Votorantim N 0051 0027 0139 0027 0813 0007 -262Cacique N 0039 0022 0050 0009 0784 0005 -4707Inter Amex N 0045 0027 0064 0012 0843 0006 -2493Alfa N 0044 0033 0068 0009 0805 0002 -12111Rendimento N 0050 0022 0073 0010 0883 0008 -1543Bancoob N 0066 0055 0072 0007 0856 0003 -4559Original N 0098 0020 0294 0094 0735 0006 -4509Banco Intermedium SA N 0057 0024 0085 0022 0756 0006 -4324

Table A11 ndash Continue on next page

51

Table A11 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0061 0017 0195 0048 0777 0003 -7233Banco BBN SA N 0042 0023 0059 0012 0831 0011 -1529B Cooperativo Sicredi SA N 0048 0035 0066 0009 0879 0005 -2672B Cooperativo do Brasil SA N 0046 0034 0119 0017 0917 0006 -1439Banco Topazio SA N 0070 0031 0129 0036 0853 0005 -2776Banco Gerador SA N 0086 0057 0148 0034 0867 0007 -1825Banco Randon SA N 0126 0028 0331 0114 0799 0005 -4136Parana Banco SA N 0039 0023 0082 0015 0798 0008 -2556Banco Triangulo SA N 0052 0025 0116 0025 0840 0004 -4363Banco Guanabara SA N 0048 0021 0100 0019 0792 0004 -5683Banco Cedula SA N 0067 0013 0356 0067 0749 0002 -10205Banco Cacique SA N 0067 0026 0232 0073 0792 0015 -1356Banco Luso Brasileiro SA N 0065 0025 0237 0052 0864 0004 -3163Banco Pecunia SA N 0037 0029 0045 0006 0786 0003 -7158Banco Zogbi SA N 0037 0027 0045 0007 0785 0002 -13921Banco Daycoval SA N 0053 0020 0120 0031 0787 0003 -6088Banco John Deere SA N 0043 0017 0099 0022 0764 0003 -8346Banco AJ Renner SA N 0050 0025 0080 0013 0840 0006 -2706ABN Amro F 0043 0035 0067 0008 0894 0002 -6685Chase F 0059 0014 0189 0040 0803 0007 -2772LLoyds F 0039 0021 0055 0012 0824 0003 -5536BankBoston F 0044 0029 0075 0015 0890 0006 -1965Santander Brasil F 0054 0028 0107 0024 0871 0008 -1694Citibank F 0054 0023 0133 0026 0863 0003 -4787BNL F 0042 0028 0078 0018 0843 0005 -2998Sudameris F 0041 0036 0052 0006 0948 0010 -491Societe Generale F 0054 0020 0118 0025 0834 0006 -2716Europeu F 0038 0029 0049 0008 0856 0006 -2239ABC-Brasil F 0046 0028 0084 0014 0816 0003 -6111Dresdner F 0063 0015 0239 0061 0823 0005 -3888AGF Braseg F 0047 0027 0074 0014 0807 0004 -4477HSBC F 0054 0032 0109 0018 0950 0006 -823Deutsche F 0058 0013 0122 0028 0863 0004 -305BNP Paribas F 0051 0032 0070 0011 0822 0004 -4145Barclays F 0064 0024 0128 0029 0802 0005 -4051Rabobank Int Brasil SA F 0051 0019 0130 0021 0846 0003 -4992B Nat de Paris Brasil SA F 0043 0019 0070 0019 0819 0005 -3429Ibibank SA - Banco Multiplo F 0049 0010 0083 0020 0785 0013 -161Dresdner Bank - B Multiplo F 0087 0016 0261 0066 0783 0007 -2901Banco Westlb Do Brasil SA F 0051 0030 0082 0019 0850 0009 -1643Banco GE Capital SA F 0053 0028 0239 0044 0859 0009 -1544B Com Uruguai SA F 0071 0017 0217 0054 0845 0003 -48451S - State-owned bank N - National bank and F - Foreign bank

52

Seacuterie de Textos para Discussatildeo do Curso de Ciecircncias Econocircmicas ndash FACEUFG ndash TD [078]

EDITORIAL FACE ndash Faculdade de Administraccedilatildeo Ciecircncias Contaacutebeis e Ciecircncias Econocircmicas Curso de Ciecircncias Econocircmicas Direccedilatildeo FACE Prof Moiseacutes Ferreira da Cunha Vice-Direccedilatildeo FACE Profordf Andreacutea Freire de Lucena Coordenaccedilatildeo do Curso de Ciecircncias Econocircmicas Prof Tiago Camarinha Lopes NEPEC ndash Nuacutecleo de Estudos e Pesquisas Econocircmicas Coordenaccedilatildeo Prof Seacutergio Fornazier Meyrelles Filho SEacuteRIE DE TEXTOS PARA DISCUSSAtildeO DO CURSO DE CIEcircNCIAS ECONOcircMICAS DA UFG Coordenaccedilatildeo e Equipe de Editoraccedilatildeo Prof Sandro Eduardo Monsueto Adriana Moura Guimaratildees Matheus Henrique de Arauacutejo Dutra

Endereccedilo Campus Samambaia Preacutedio da FACE ndash Rodovia GoiacircniaNova Veneza km 0 ndash CEP 74690-900 Goiacircnia ndash GO Tel (62) 3521 ndash 1390 URL httpwwwfaceufgbreconomia Publicaccedilatildeo cujo objetivo eacute divulgar resultados de estudos que contam com a participaccedilatildeo de pesquisadores do NEPEC As opiniotildees contidas nesta publicaccedilatildeo satildeo de inteira responsabilidade do(s) autor(es) natildeo representando necessariamente o ponto de vista do NEPEC ou da FACEUFG Eacute permitida a reproduccedilatildeo desde que citada a fonte

Page 54: 1(3(& )$&( 8)* · The Dark Side of Prudential MeasuresI Paulo R. Scalco a, Benjamin M. Tabak1, Anderson M. Teixeira aFaculty of Management, Accounting and Economics, Federal University

Table A11 ndash Continued from previous page

BankControltype1

Lerner index Returns to scaleAvrg Min Max Std-dev Avrg Std-dev RTS=1

Banco Ribeirao Preto SA N 0061 0017 0195 0048 0777 0003 -7233Banco BBN SA N 0042 0023 0059 0012 0831 0011 -1529B Cooperativo Sicredi SA N 0048 0035 0066 0009 0879 0005 -2672B Cooperativo do Brasil SA N 0046 0034 0119 0017 0917 0006 -1439Banco Topazio SA N 0070 0031 0129 0036 0853 0005 -2776Banco Gerador SA N 0086 0057 0148 0034 0867 0007 -1825Banco Randon SA N 0126 0028 0331 0114 0799 0005 -4136Parana Banco SA N 0039 0023 0082 0015 0798 0008 -2556Banco Triangulo SA N 0052 0025 0116 0025 0840 0004 -4363Banco Guanabara SA N 0048 0021 0100 0019 0792 0004 -5683Banco Cedula SA N 0067 0013 0356 0067 0749 0002 -10205Banco Cacique SA N 0067 0026 0232 0073 0792 0015 -1356Banco Luso Brasileiro SA N 0065 0025 0237 0052 0864 0004 -3163Banco Pecunia SA N 0037 0029 0045 0006 0786 0003 -7158Banco Zogbi SA N 0037 0027 0045 0007 0785 0002 -13921Banco Daycoval SA N 0053 0020 0120 0031 0787 0003 -6088Banco John Deere SA N 0043 0017 0099 0022 0764 0003 -8346Banco AJ Renner SA N 0050 0025 0080 0013 0840 0006 -2706ABN Amro F 0043 0035 0067 0008 0894 0002 -6685Chase F 0059 0014 0189 0040 0803 0007 -2772LLoyds F 0039 0021 0055 0012 0824 0003 -5536BankBoston F 0044 0029 0075 0015 0890 0006 -1965Santander Brasil F 0054 0028 0107 0024 0871 0008 -1694Citibank F 0054 0023 0133 0026 0863 0003 -4787BNL F 0042 0028 0078 0018 0843 0005 -2998Sudameris F 0041 0036 0052 0006 0948 0010 -491Societe Generale F 0054 0020 0118 0025 0834 0006 -2716Europeu F 0038 0029 0049 0008 0856 0006 -2239ABC-Brasil F 0046 0028 0084 0014 0816 0003 -6111Dresdner F 0063 0015 0239 0061 0823 0005 -3888AGF Braseg F 0047 0027 0074 0014 0807 0004 -4477HSBC F 0054 0032 0109 0018 0950 0006 -823Deutsche F 0058 0013 0122 0028 0863 0004 -305BNP Paribas F 0051 0032 0070 0011 0822 0004 -4145Barclays F 0064 0024 0128 0029 0802 0005 -4051Rabobank Int Brasil SA F 0051 0019 0130 0021 0846 0003 -4992B Nat de Paris Brasil SA F 0043 0019 0070 0019 0819 0005 -3429Ibibank SA - Banco Multiplo F 0049 0010 0083 0020 0785 0013 -161Dresdner Bank - B Multiplo F 0087 0016 0261 0066 0783 0007 -2901Banco Westlb Do Brasil SA F 0051 0030 0082 0019 0850 0009 -1643Banco GE Capital SA F 0053 0028 0239 0044 0859 0009 -1544B Com Uruguai SA F 0071 0017 0217 0054 0845 0003 -48451S - State-owned bank N - National bank and F - Foreign bank

52

Seacuterie de Textos para Discussatildeo do Curso de Ciecircncias Econocircmicas ndash FACEUFG ndash TD [078]

EDITORIAL FACE ndash Faculdade de Administraccedilatildeo Ciecircncias Contaacutebeis e Ciecircncias Econocircmicas Curso de Ciecircncias Econocircmicas Direccedilatildeo FACE Prof Moiseacutes Ferreira da Cunha Vice-Direccedilatildeo FACE Profordf Andreacutea Freire de Lucena Coordenaccedilatildeo do Curso de Ciecircncias Econocircmicas Prof Tiago Camarinha Lopes NEPEC ndash Nuacutecleo de Estudos e Pesquisas Econocircmicas Coordenaccedilatildeo Prof Seacutergio Fornazier Meyrelles Filho SEacuteRIE DE TEXTOS PARA DISCUSSAtildeO DO CURSO DE CIEcircNCIAS ECONOcircMICAS DA UFG Coordenaccedilatildeo e Equipe de Editoraccedilatildeo Prof Sandro Eduardo Monsueto Adriana Moura Guimaratildees Matheus Henrique de Arauacutejo Dutra

Endereccedilo Campus Samambaia Preacutedio da FACE ndash Rodovia GoiacircniaNova Veneza km 0 ndash CEP 74690-900 Goiacircnia ndash GO Tel (62) 3521 ndash 1390 URL httpwwwfaceufgbreconomia Publicaccedilatildeo cujo objetivo eacute divulgar resultados de estudos que contam com a participaccedilatildeo de pesquisadores do NEPEC As opiniotildees contidas nesta publicaccedilatildeo satildeo de inteira responsabilidade do(s) autor(es) natildeo representando necessariamente o ponto de vista do NEPEC ou da FACEUFG Eacute permitida a reproduccedilatildeo desde que citada a fonte

Page 55: 1(3(& )$&( 8)* · The Dark Side of Prudential MeasuresI Paulo R. Scalco a, Benjamin M. Tabak1, Anderson M. Teixeira aFaculty of Management, Accounting and Economics, Federal University

Seacuterie de Textos para Discussatildeo do Curso de Ciecircncias Econocircmicas ndash FACEUFG ndash TD [078]

EDITORIAL FACE ndash Faculdade de Administraccedilatildeo Ciecircncias Contaacutebeis e Ciecircncias Econocircmicas Curso de Ciecircncias Econocircmicas Direccedilatildeo FACE Prof Moiseacutes Ferreira da Cunha Vice-Direccedilatildeo FACE Profordf Andreacutea Freire de Lucena Coordenaccedilatildeo do Curso de Ciecircncias Econocircmicas Prof Tiago Camarinha Lopes NEPEC ndash Nuacutecleo de Estudos e Pesquisas Econocircmicas Coordenaccedilatildeo Prof Seacutergio Fornazier Meyrelles Filho SEacuteRIE DE TEXTOS PARA DISCUSSAtildeO DO CURSO DE CIEcircNCIAS ECONOcircMICAS DA UFG Coordenaccedilatildeo e Equipe de Editoraccedilatildeo Prof Sandro Eduardo Monsueto Adriana Moura Guimaratildees Matheus Henrique de Arauacutejo Dutra

Endereccedilo Campus Samambaia Preacutedio da FACE ndash Rodovia GoiacircniaNova Veneza km 0 ndash CEP 74690-900 Goiacircnia ndash GO Tel (62) 3521 ndash 1390 URL httpwwwfaceufgbreconomia Publicaccedilatildeo cujo objetivo eacute divulgar resultados de estudos que contam com a participaccedilatildeo de pesquisadores do NEPEC As opiniotildees contidas nesta publicaccedilatildeo satildeo de inteira responsabilidade do(s) autor(es) natildeo representando necessariamente o ponto de vista do NEPEC ou da FACEUFG Eacute permitida a reproduccedilatildeo desde que citada a fonte