Interbank Contagion: An Agent-Based Model Approach to Endogenously Formed Networks

The potential impact of interconnected financial institutions on interbank financial systems is a financial stability concern for central banks and regulators. A number of algorithms/methods have been developed to extrapolate latent interbank risk exposures. However, most use highly stylized network models and reconstruction methods with global optimality lending allocation approaches such as maximizing entropy or minimizing costs. This paper argues that U.S. bank lending and borrowing decisions are largely suboptimal and performance-driven. We present an agent-based model to endogenously reconstruct interbank networks based on 6,600 banks' decision rules and behaviors reflected in quarterly balance sheets. The model formulation reproduces dynamics similar to those of the 2007-09 financial crisis and shows how bank losses and failures arise from network contagion and lending market illiquidity. When calibrated to post-crisis data from 2011-14, the model shows the banking system has reduced its likelihood of bank failures through network contagion and illiquidity, given a similar stress scenario.

[1]  Larry Eisenberg,et al.  Systemic Risk in Financial Networks , 1999, Manag. Sci..

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

[3]  A. Tahbaz-Salehi,et al.  Systemic Risk in Endogenous Financial Networks , 2015 .

[4]  A. Tarski A LATTICE-THEORETICAL FIXPOINT THEOREM AND ITS APPLICATIONS , 1955 .

[5]  Michael J. North,et al.  Tutorial on agent-based modelling and simulation , 2005, Proceedings of the Winter Simulation Conference, 2005..

[6]  Michael Gofman,et al.  Efficiency and Stability of a Financial Architecture with Too-Interconnected-to-Fail Institutions , 2016 .

[7]  A. Kovner,et al.  Trading Partners in the Interbank Lending Market , 2013 .

[8]  M. Macy,et al.  FROM FACTORS TO ACTORS: Computational Sociology and Agent-Based Modeling , 2002 .

[9]  Christoffer Kok,et al.  Multi-Layered Interbank Model For Assessing Systemic Risk , 2016, SSRN Electronic Journal.

[10]  Franklin Allen,et al.  Financial Contagion , 2000, Journal of Political Economy.

[11]  V. Acharya A Theory of Systemic Risk and Design of Prudential Bank Regulation , 2001 .

[12]  Sanjeev Goyal,et al.  A Noncooperative Model of Network Formation , 2000 .

[13]  Stefan W. Schmitz,et al.  Making supervisory stress tests more macroprudential: Considering liquidity and solvency interactions and systemic risk , 2015 .

[14]  M. Elliott,et al.  Financial Networks and Contagion , 2014 .

[15]  Jose Fique,et al.  Estimation of Bilateral Exposures-A Copula Approach An Extended Abstract and Brief Overview , 2012 .

[16]  The Entry, Performance, and Risk Profile of De Novo Banks , 2016 .

[17]  M. Jackson,et al.  A Strategic Model of Social and Economic Networks , 1996 .

[18]  Helmut Elsinger,et al.  Handbook on Systemic Risk: Network Models and Systemic Risk Assessment , 2013 .

[19]  D. Carter,et al.  Do Small Banks have an Advantage in Lending? An Examination of Risk-Adjusted Yields on Business Loans at Large and Small Banks , 2004 .

[20]  P. Glasserman,et al.  Contagion in Financial Networks , 2015 .

[21]  Thomas Lux,et al.  Emergence of a core-periphery structure in a simple dynamic model of the interbank market , 2015 .

[22]  Pietro Terna,et al.  How to build and use agent-based models in social science , 2000 .

[23]  Denis Borenstein,et al.  An agent-based simulation model for analyzing the governance of the Brazilian Financial System , 2009, Expert Syst. Appl..

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

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

[26]  Stefano Battiston,et al.  A Network Analysis of the Evolution of the German Interbank Market , 2014, SSRN Electronic Journal.

[27]  Christian Upper,et al.  Simulation methods to assess the danger of contagion in interbank markets , 2011 .

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

[29]  Mark E. Paddrik,et al.  An agent-based model for financial vulnerability , 2018 .

[30]  Morten L. Bech,et al.  The Topology of the Federal Funds Market , 2008, SSRN Electronic Journal.

[31]  Kartik Anand,et al.  Stress testing the Canadian banking System : a System-wide approach , 2014 .

[32]  Daniel Ladley,et al.  Contagion and risk-sharing on the inter-bank market , 2013 .

[33]  Rama Cont,et al.  Working Paper Series , 2010 .

[34]  Mathias Drehmann,et al.  Measuring the Systemic Importance of Interconnected Banks , 2011 .

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

[36]  Kartik Anand,et al.  Filling in the blanks: network structure and interbank contagion , 2014, SSRN Electronic Journal.

[37]  Christoffer Kok,et al.  Modeling Emergence of the Interbank Networks , 2014, SSRN Electronic Journal.

[38]  Michael Boss,et al.  Network topology of the interbank market , 2003, cond-mat/0309582.

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

[40]  P. Glasserman,et al.  How Likely Is Contagion in Financial Networks? , 2013 .

[41]  Jose M. Berrospide,et al.  Bank Liquidity Hoarding and the Financial Crisis: An Empirical Evaluation , 2012, The Quarterly Journal of Finance.

[42]  H. Leland.,et al.  Optimal Capital Structure, Endogenous Bankruptcy, and the Term Structure of Credit Spreads , 1996, World Scientific Reference on Contingent Claims Analysis in Corporate Finance.

[43]  K. Choromanski,et al.  Scale-Free Graph with Preferential Attachment and Evolving Internal Vertex Structure , 2013 .

[44]  Antoinette Schoar,et al.  Reserve System. Any errors or omissions are the responsibility of the authors. Stressed, Not Frozen: The Federal Funds Market in the Financial Crisis , 2010 .

[45]  G. Caldarelli,et al.  A Network Analysis of the Italian Overnight Money Market , 2005 .

[46]  G. Caldarelli,et al.  DebtRank: Too Central to Fail? Financial Networks, the FED and Systemic Risk , 2012, Scientific Reports.

[47]  Biliana Alexandrova-Kabadjova,et al.  An Empirical Study of the Mexican Banking System's Network and Its Implications for Systemic Risk , 2012 .

[48]  Giorgio Fagiolo,et al.  Enhanced reconstruction of weighted networks from strengths and degrees , 2013, 1307.2104.

[49]  Christoffer Kok,et al.  Assessing interbank contagion using simulated networks , 2013, Comput. Manag. Sci..

[50]  F. Lillo,et al.  The multiplex structure of interbank networks , 2015 .

[52]  Walter E. Beyeler,et al.  The topology of interbank payment flows , 2007 .

[53]  Edson Bastos e Santos,et al.  Network Structure and Systemic Risk in Banking Systems , 2010 .

[54]  Ben R. Craig,et al.  Interbank Tiering and Money Center Banks , 2010 .

[55]  Franklin Allen,et al.  Financial Contagion , 2000, Journal of Political Economy.

[56]  Co-Pierre Georg,et al.  The Effect of the Interbank Network Structure on Contagion and Common Shocks , 2013, SSRN Electronic Journal.

[57]  A. Tahbaz-Salehi,et al.  Systemic Risk and Stability in Financial Networks , 2013 .