Assessing Financial Contagion in the Interbank Market: Maximum Entropy Versus Observed Interbank Lending Patterns

Interbank markets allow banks to cope with specific liquidity shocks. At the same time, they may be a channel allowing a bank default to spread to other banks. This paper analyzes how contagion propagates within the Italian interbank market using a unique data set including actual bilateral exposures. Since information on bilateral exposures was not available in most previous studies, they assumed that banks spread their lending as evenly as possible among all the other banks by maximizing the entropy of interbank linkages. Based on the data available on actual bilateral exposures for all Italian banks, the results obtained by assuming the maximum entropy are compared with those reflecting the observed structure of interbank claims. The comparison indicates that, in line with the thesis prevailing in the literature, the maximum entropy method tends to underestimate the extent of contagion. However, this does not hold in general. Under certain circumstances, depending on the structure of the interbank linkages, the recovery rates of interbank exposures and banksi?½ capitalization, the maximum entropy approach overestimates the scope for contagion.

[1]  G. Sheldon,et al.  Interbank Lending and Systemic Risk: An Empirical Analysis for Switzerland , 1998 .

[2]  Giulia Iori,et al.  Systemic Risk on the Interbank Market , 2004 .

[3]  Sandro Brusco,et al.  Liquidity Coinsurance, Moral Hazard, and Financial Contagion , 2007 .

[4]  Stefano Neri,et al.  What does a technology shock do ? A VAR analysis with model-based sign restrictions ∗ , 2004 .

[5]  Roberto Golinelli,et al.  Consumer Sentiment and Economic Activity: A Cross Country Comparison , 2004 .

[6]  Philip H. Dybvig,et al.  Bank Runs, Deposit Insurance, and Liquidity , 1983, Journal of Political Economy.

[7]  Paolo Chiades,et al.  The Bernanke and Blinder Model in an Open Economy: The Italyn Case , 2004 .

[8]  Clelia Rossi-Arnaud,et al.  Memory for Prices and the Euro Cash Changeover: An Analysis for Cinema Prices in Italy , 2007 .

[9]  Sabrina Lucia Di Addario Job Search in Thick Markets: Evidence from Italy , 2004 .

[10]  Erik Kole,et al.  Contagion as Domino Effect in Global Stock Markets , 2008 .

[11]  G. Gobbi,et al.  Informational Barriers to Entry into Credit Markets , 2006 .

[12]  Guido Blasio,et al.  Does Trade Credit Substitute Bank Credit? Evidence from Firm-level Data , 2003 .

[13]  Iman van Lelyveld,et al.  Interbank Contagion in the Dutch Banking Sector: A Sensitivity Analysis , 2006 .

[14]  Luigi Cannari,et al.  La bilancia dei pagamenti di parte corrente Nord-Sud (1998-2000) , 2004 .

[15]  F. Spadafora,et al.  Il pilastro privato del sistema previdenziale: il caso del Regno Unito , 2004 .

[16]  L. Gambacorta,et al.  Are there asymmetries in the response of bank interest rates to monetary shocks? , 2007 .

[17]  Roberto Torrini Quota dei profitti e redditività del capitale in Italia: un tentativo di interpretazione , 2005 .

[18]  F. Lippi,et al.  Information variables for monetary policy in an estimated structural model of the euro area , 2007 .

[19]  F. Busetti Tests of seasonal integration and cointegration in multivariate unobserved component models , 2006 .

[20]  Christopher M. James,et al.  The Losses Realized in Bank Failures , 1991 .

[21]  Filippo Altissimo,et al.  Is money informative? Evidence from a large model used for policy analysis , 2005 .

[22]  Juri Marcucci,et al.  Revisiting the Empirical Evidence on Firms' Money Demand , 2006 .

[23]  Roberto Golinelli,et al.  Real-Time Determinants of Fiscal Policies in the Euro Area: Fiscal Rules, Cyclical Conditions and Elections , 2006 .

[24]  Giovanni Veronese,et al.  A Core Inflation Indicator for the Euro Area , 2005 .

[25]  Gibrat’s Law in a Medium-Technology Industry: Empirical Evidence for Italy , 2006 .

[26]  H. Degryse,et al.  Cross-Border Exposures and Financial Contagion , 2009 .

[27]  Giuseppe Ferrero,et al.  Monetary policy, learning and the speed of convergence , 2007 .

[28]  Augusto Hasman,et al.  Information acquisition and financial contagion , 2008 .

[29]  Takatoshi Tabuchi,et al.  Changes in Transport and Non Transport Costs: Local vs. Global Impacts in a Spatial Network , 2007 .

[30]  Guido Blasio,et al.  Evaluating the impact of investment incentives: The case of Italy's Law 488/1992☆ , 2006 .

[31]  Ravi Jagannathan,et al.  Banking Panics, Information, and Rational Expectations Equilibrium , 1988 .

[32]  G. Kaufman Bank contagion: A review of the theory and evidence , 1994 .

[33]  Guido Blasio,et al.  Do Workers Benefit from Industrial Agglomeration , 2005 .

[34]  Monica Paiella,et al.  The Foregone Gains of Incomplete Portfolios , 2004 .

[35]  Hans Degryse,et al.  Interbank Exposures: An Empirical Examination of Contagion Risk in the Belgian Banking System , 2012 .

[36]  Philip A. Stork,et al.  Contagion Risk in the Australian Banking and Property Sectors , 2010 .

[37]  Morten L. Bech,et al.  Systemic risk in the Danish interbank netting system , 2002 .

[38]  Christian Upper,et al.  Estimating Bilateral Exposures in the German Interbank Market: Is There a Danger of Contagion? , 2002, SSRN Electronic Journal.

[39]  Silvia Magri,et al.  Italian households’ debt: the participation to the debt market and the size of the loan , 2007 .

[40]  Helmut Elsinger,et al.  Risk Assessment for Banking Systems , 2003, Manag. Sci..

[41]  Maria Elena Bontempi,et al.  Why Demand Uncertainty Curbs Investment: Evidence from a Panel of Italian Manufacturing Firms , 2007 .

[42]  Chiara Bentivogli,et al.  Tecnologia e dinamica dei vantaggi comparati: un confronto fra quattro regioni italiane , 2004 .

[43]  Francesco Nucci,et al.  Price stickiness and the contractionary effect of technology shocks , 2005 .

[44]  E. Gaiotti,et al.  Is There a Cost Channel of Monetary Policy Transmission? An Investigation into the Pricing Behavior of 2,000 Firms , 2004 .

[45]  Andrew Harvey,et al.  Testing for Trend , 2007 .

[46]  Cross-Border Exposures and Financial Contagion , 2009 .

[47]  G. Tomat Prices, Product Differentiation and Quality Measurement: A Comparison between Hedonic and Matched Model Methods , 2006 .

[48]  Leonardo Gambacorta,et al.  How Do Banks Set Interest Rates? , 2004 .

[49]  M. Shum,et al.  Do Mergers Improve Information? Evidence from the Loan Market , 2004 .

[50]  Entry Decisions and Adverse Selection: An Empirical Analysis of Local Credit Markets , 2004 .

[51]  M. Cropper,et al.  Sulfur Dioxide Control by Electric Utilities: What Are the Gains from Trade? , 1998, Journal of Political Economy.

[52]  Piero Cipollone,et al.  Social Interactions in High School: Lessons from an Earthquake , 2006 .

[53]  Jean-Charles Rochet,et al.  Systemic risk, interbank relations and liquidity provision by the Central Bank , 2000 .

[54]  Carmelo Salleo,et al.  Consolidation and Efficiency in the Financial Sector: A Review of the International Evidence , 2003 .

[55]  Piero Cipollone,et al.  Does The Ilo Definition Capture All Unemployment , 2006 .

[56]  A. Locarno,et al.  Imperfect Knowledge, Adaptive Learning and the Bias Against Activist Monetary Policies , 2006 .

[57]  Raffaello Bronzini,et al.  Una valutazione degli incentivi pubblici agli investimenti , 2006 .

[58]  Craig H. Furfine,et al.  Interbank Exposures: Quantifying the Risk of Contagion , 1999 .

[59]  A. Levy,et al.  Monetary policy shocks in the new EU members: a VAR approach , 2007 .

[60]  Massimo Omiccioli,et al.  Il credito commerciale: problemi e teorie , 2004 .

[61]  Elisa Tosetti,et al.  Skill dispersion and Productivity: an Analysis with Matched Data , 2008 .

[62]  Luca Casolaro,et al.  Information Technology and Productivity Changes in the Banking Industry , 2003 .

[63]  Sudipto Bhattacharya,et al.  Distinguishing Panics and Information-based Bank Runs: Welfare and Policy Implications , 1988, Journal of Political Economy.

[64]  R. Torrini Cross-country differences in self-employment rates: the role of institutions , 2005 .

[65]  Guerino Ardizzi,et al.  Cost efficiency in the retail payment networks: first evidence from the Italian credit card system , 2003 .

[66]  Massimo Caruso Monetary Policy Impulses, Local Output and the Transmission Mechanism , 2006 .

[67]  Paolo Finaldi Russo,et al.  Il debito commerciale in Italia: quanto contano le motivazioni finanziarie? , 2004 .

[68]  Claudia Biancotti A polarization of inequality? The distribution of national Gini coefficients 1970–1996 , 2006 .

[69]  Francesco Lippi,et al.  Pricing Behavior and the Introduction of the Euro: Evidence from a Panel of Restaurants , 2005 .

[70]  Guido Blasio,et al.  Production and consumption externalities of human capital: an empirical study for Italy , 2007 .

[71]  Andrew Harvey,et al.  Convergence of Prices and Rates of Inflation , 2006 .

[72]  The Recent Behaviour of Financial Markets Volatility , 2006 .

[73]  R. Golinelli,et al.  Bridge models to forecast the euro area GDP , 2004 .

[74]  Iman van Lelyveld,et al.  Interbank Contagion in the Dutch Banking Sector , 2004 .

[75]  Amanda Carmignani,et al.  Funzionamento della giustizia civile e struttura finanziaria delle imprese: il ruolo del credito commerciale , 2004 .

[76]  Francesco Lippi,et al.  Monetary Union with Voluntary Participation , 2003 .

[77]  Giuseppe Maresca,et al.  Systemic risk in the netting system , 1996 .

[78]  Luigi Pistaferri,et al.  Insurance within the Firm , 2001, Journal of Political Economy.

[79]  Marcello Pagnini,et al.  Openness to Trade and Industry Cost Dispersion: Evidence from a Panel of Italian Firms , 2008 .

[80]  X. Freixas,et al.  Contagion and efficiency in gross and net interbank payment systems , 1998 .

[81]  F. Castiglionesi Financial contagion and the role of the Central Bank , 2007 .

[82]  A. Nobili,et al.  The Sectoral Distribution of Money Supply in the Euro Area , 2007 .

[83]  Leonardo Gambacorta,et al.  Does bank capital affect lending behavior , 2004 .

[84]  F. Schivardi,et al.  Identifying the Sources of Local Productivity Growth , 2004 .

[85]  João F. Cocco,et al.  Lending Relationships in the Interbank Market , 2003 .

[86]  Simon J. Wells,et al.  Financial Interlinkages in the United Kingdom's Interbank Market and the Risk of Contagion , 2004 .

[87]  P. Hartmann,et al.  Systemic Risk: A Survey , 2000, SSRN Electronic Journal.

[88]  A. Cesare Estimating expectations of shocks using option prices , 2004 .

[89]  L. Casolaro,et al.  Regulation, formal and informal enforcement and the development of the household loan market. Lessons from Italy , 2005 .

[90]  Fabio Busetti,et al.  Preliminary Data and Econometric Forecasting: An Application with the Bank of Italy Quarterly Model , 2004 .

[91]  Charles Goodhart,et al.  A framework for assessing financial stability , 2006 .

[92]  J. Rochet,et al.  Interbank Lending and Systemic Risk , 1996 .

[93]  Marcello Pericoli,et al.  Some Contagion, Some Interdependence: More Pitfalls in Tests of Financial Contagion , 2002 .

[94]  Monica Paiella,et al.  Does wealth affect consumption? Evidence for Italy , 2007 .

[95]  Christian Upper,et al.  Using Counterfactual Simulations to Assess the Danger of Contagion in Interbank Markets , 2007 .

[96]  Monica Paiella,et al.  Heterogeneity in Financial Market Participation: Appraising its Implications for the C-CAPM , 2004 .

[97]  Antonio Di Cesare,et al.  Do Markethbased Indicators Anticipate Rating Agenciesq Evidence for International Banks , 2006 .

[98]  Ulrich Heimeshoff,et al.  Consolidation in banking and financial stability in Europe: Empirical evidence , 2008 .

[99]  The Private and Social Return to Schooling in Italy , 2006 .

[100]  Libero Monteforte,et al.  Aggregation bias in macro models: Does it matter for the euro area? , 2004 .

[101]  Ivan Faiella,et al.  Household Wealth Distribution in Italy in the 1990s , 2004 .

[102]  Sudipto Bhattacharya,et al.  Preference shocks, liquidity, and central bank policy , 1987 .