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Efficiency and risk in European banking

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TLDR
This article assess the inter-temporal relationship between bank efficiency, capital and risk in a sample of European commercial banks employing several definitions of efficiency, risk and capital and using the Granger-causality methodology in a panel data framework.
Abstract
We assess the inter-temporal relationship between bank efficiency, capital and risk in a sample of European commercial banks employing several definitions of efficiency, risk and capital and using the Granger-causality methodology in a panel data framework. Our results suggest that lower bank efficiency with respect to costs and revenues Granger-causes higher bank risk and that increases in bank capital precede cost efficiency improvements. We also find that more efficient banks eventually become better capitalized and that higher capital levels tend to have a positive effect on efficiency levels. These results are generally confirmed by a series of robustness tests. The results have potentially important implications for bank prudential supervision and underline the importance of attaining long-term efficiency gains to support financial stability objectives.

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Working PaPer SerieS
no 1211 / June 2010
efficiency and
riSk in euroPean
banking
by Franco Fiordelisi,
David Marques-Ibanez
and Phil Molyneux
MACROPRUDENTIAL
RESEARCH NETWORK

WORKING PAPER SERIES
NO 1211 / JUNE 2010
In 2010 all ECB
publications
feature a motif
taken from the
€500 banknote.
EFFICIENCY AND RISK
IN EUROPEAN BANKING
by Franco Fiordelisi , David Marques-Ibanez
and Phil Molyneux
Corresponding author: Faculty of Economics, University of Rome III, Via S. D’Amico 77, 00182, Rome, Italy,
phone: +39 065 733 5672; fax: +39 065 733 5797, e-mail: fiordelisi@uniroma3.it.
Bangor Business School, University, Bangor College Road, LL572DJ, Bangor, United Kingdom,
e mail: p.molyneux@bangor.ac.uk.
Kaiserstrasse 29,
60311 Frankfurt am Main, Germany,
e-mail: david.marques@ecb.europa.eu
This paper can be downloaded without charge from http://www.ecb.europa.eu or from the Social Science
Research Network electronic library at http://ssrn.com/abstract_id=1618296.
NOTE: This Working Paper should not be reported as representing
the views of the European Central Bank (ECB).
The views expressed are those of the authors
and do not necessarily reflect those of the ECB.
1 We wwould like to thank in particular an anonymous referee for insightful and helpful comments particularly w ith regard the various estimation
issues.
The authors w ould also like to thank among others Alessandro Carretta, Francesco Cesarini, John Fell, P hilipp Hartmann, Claudia
Girardone,
Giorgio Gobbi, Marcella Lucchetta, Adrian van Rixtel, Klaus Schaeck, Roberto Violi, John Wilson and Giuseppe Z adra wwho
kindly provided
comments on earlier versions of this paper as
well as participants at seminars at the European Central Bank and
Banca
d’Italia. Special
thanks also to participants at SUERF and Banque Centrale du Luxembourg conference on "P roductivity in
the Financial Services Sector"
as w ell as participants at Associaz ione Bancaria Italiana ( ABI) and Ente Einaudi Workshop on
"European Bank Competition for their
w
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,
( )
2
3
European Central Bank, Directorate General Research, Financial Research Division,
4
2, 3 4
3
1
comments. All errors and omissions as usual rest with the authors."
w
-
MACROPRUDENTIAL
RESEARCH NETWORK

© European Central Bank, 2010
Address
Kaiserstrasse 29
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All rights reserved.
Any reproduction, publication and
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publication, whether printed or produced
electronically, in whole or in part, is
permitted only with the explicit written
authorisation of the ECB or the authors.
Information on all of the papers published
in the ECB Working Paper Series can be
found on the ECB’s website, http://www.
ecb.europa.eu/pub/scientific/wps/date/
html/index.en.html
ISSN 1725-2806 (online)
Macroprudential Research Network
This paper presents research conducted within the Macroprudential Research Network (MaRs). The network is composed of econo-
mists from the European System of Central Banks (ESCB), i.e. the 27 national central banks of the European Union (EU) and the Euro-
pean Central Bank. The objective of MaRs is to develop core conceptual frameworks, models and/or tools supporting macro-prudential
supervision in the EU.
The research is carried out in three work streams:
1. Macro- nancial models linking nancial stability and the performance of the economy;
2. Early warning systems and systemic risk indicators;
3. Assessing contagion risks.
MaRs is chaired by Philipp Hartmann (ECB). Paolo Angelini (Banca d’Italia), Laurent Clerc (Banque de France), Carsten Detken
(ECB) and Katerina Šmídková (Czech National Bank) are workstream coordinators. Xavier Freixas (Universitat Pompeu Fabra) acts
as external consultant and Angela Maddaloni (ECB) as Secretary.
The refereeing process of this paper has been coordinated by a team composed of Cornelia Holthausen, Kalin Nikolov and Bernd
Schwaab (all ECB).
The paper is released in order to make the research of MaRs generally available, in preliminary form, to encourage comments and sug-
gestions prior to nal publication. The views expressed in the paper are the ones of the author(s) and do not necessarily re ect those
of the ECB or of the ESCB.

3
ECB
Working Paper Series No 1211
June 2010
Abstract
4
Non-technical summary
5
1 Introduction
6
2 Related literature
8
3 Research hypothesis
11
4 Methodology
13
5 Variables and data
16
6 Results
19
7 Robustness tests
21
8 Conclusions
23
References
Tables
Appendix
CONTENTS
25
29
35

4
ECB
Working Paper Series No 1211
June 2010
Abstract
We analyze the impact of efficiency on bank risk. We also consider whether bank capital has
an effect on this relationship. We model the inter-temporal relationships among efficiency,
capital and risk for a large sample of commercial banks operating in the European Union. We
find that reductions in cost and revenue efficiencies increase banks’ future risks thus
supporting the bad management and efficiency version of the moral hazard hypotheses. In
contrast, bank efficiency improvements contribute to shore up bank capital levels. Our
findings suggest that banks lagging behind in their efficiency levels might expect higher risk
and subdued capital positions in the near future.
Keywords: banking risk; capital; efficiency
JEL classification: G21; D24; C23; E44

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References
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Report SeriesDOI

Initial conditions and moment restrictions in dynamic panel data models

TL;DR: In this paper, two alternative linear estimators that are designed to improve the properties of the standard first-differenced GMM estimator are presented. But both estimators require restrictions on the initial conditions process.
Journal ArticleDOI

Investigating Causal Relations by Econometric Models and Cross-Spectral Methods

TL;DR: In this article, the cross spectrum between two variables can be decomposed into two parts, each relating to a single causal arm of a feedback situation, and measures of causal lag and causal strength can then be constructed.
Journal ArticleDOI

Another look at the instrumental variable estimation of error-components models

TL;DR: In this paper, a framework for efficient IV estimators of random effects models with information in levels which can accommodate predetermined variables is presented. But the authors do not consider models with predetermined variables that have constant correlation with the effects.
Journal ArticleDOI

A Model for Technical Inefficiency Effects in a Stochastic Frontier Production Function for Panel Data

TL;DR: In this paper, a stochastic frontier production function is defined for panel data on firms, in which the nonnegative technical inefficiency effects are assumed to be a function of firm-specific variables and time.
Journal ArticleDOI

A finite sample correction for the variance of linear efficient two-step GMM estimators

TL;DR: The authors showed that the extra variation due to the presence of these estimated parameters in the weight matrix accounts for much of the difference between the finite sample and the usual asymptotic variance of the two-step generalized method of moments estimator, when the moment conditions used are linear in the parameters.
Related Papers (5)
Frequently Asked Questions (11)
Q1. What is the main problem in the analysis of bank risk?

As bank risk is a crucial measure in their analysis the authors try to capture its maindimensions by using two major measures: the 5-year ahead cumulative Expected DefaultFrequency (EDF) for each bank calculated by Moody’s KMV and the traditional non-performing loans to total loans ratio NPL\\L. 

The Hensen test of over-identifying restrictions for the GMM estimators: the null hypothesis is that instruments used are not correlated with residuals and so the over-identifying restrictions are valid. 

Holding additional capital buffers above theregulatory minimum for banks with higher levels of risk aims to avoid the costs associatedwith having to issue fresh equity at short notice (Ayuso et al., 2004; Peura and Keppo, 2006). 

Bank capital adequacy is measured as the equity to assets ratio (E/TA), i.e. the valueof total equity divided by the value of total assets. 

The Hensen test of over-identifying restrictions for the GMM estimators: the null hypothesis is that instruments used are not correlated with residuals and so the over-identifying restrictions are valid. 

The authors also assess the ‘long-run effect’ of x over the y by testing for therestriction that the sum of all lagged coefficients is zero: a rejection of the restriction impliesthat there is evidence of a long-run effect of x on y. 

A major contribution to the debate came from Hughes and Mester (1998, 2009) whoargued for the need to consider bank efficiency when analysing the relationship betweencapital and risk. 

Although off-balance sheet (OBS) items may play a role in generating bank value-added, the authors omit to consider OBS items since their sample also includes small banks that do not have OBS items or data are not available in the Bankscope database. 

If the probability is less than10%, then the null hypothesis that x does not Granger-cause y is rejected at the 10%significance level. 

Increases in the sum of the lagged cost efficiencycoefficients temporally precede equity ratio increases and the result holds for all bank riskmeasures (i.e. EDF, EDF5Y, NPL/L) used in estimating model (4). 

The authors also find a positive statistically significant (at the 1% level) link between thecapital ratio and the number of credit institutions (NCI) tentatively suggesting that highcapital levels are positively linked to the number of competitors in the market (so supportingthe view that bank competition might encourage higher equity capital levels).