Resilience to Contagion in Financial Networks
AbstractPropagation of balance-sheet or cash-flow insolvency across financial institutions may be modeled as a cascade process on a network representing their mutual exposures. We derive rigorous asymptotic results for the magnitude of contagion in a large financial network and give an analytical expression for the asymptotic fraction of defaults, in terms of network characteristics. Our results extend previous studies on contagion in random graphs to inhomogeneous directed graphs with a given degree sequence and arbitrary distribution of weights. We introduce a criterion for the resilience of a large financial network to the insolvency of a small group of financial institutions and quantify how contagion amplifies small shocks to the network. Our results emphasize the role played by "contagious links" and show that institutions which contribute most to network instability in case of default have both large connectivity and a large fraction of contagious links. The asymptotic results show good agreement with simulations for networks with realistic sizes.
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Date of creation: Dec 2011
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Web page: http://arxiv.org/
This paper has been announced in the following NEP Reports:
- NEP-ALL-2012-01-10 (All new papers)
- NEP-BAN-2012-01-10 (Banking)
- NEP-NET-2012-01-10 (Network Economics)
- NEP-RMG-2012-01-10 (Risk Management)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Larry Eisenberg & Thomas H. Noe, 2001. "Systemic Risk in Financial Systems," Management Science, INFORMS, vol. 47(2), pages 236-249, February.
- Michael Boss & Helmut Elsinger & Martin Summer & Stefan Thurner, 2004. "Network topology of the interbank market," Quantitative Finance, Taylor and Francis Journals, vol. 4(6), pages 677-684.
- Kimmo Soramaki & Morten L. Bech & Jeffrey Arnold & Robert J. Glass & Walter Beyeler, 2006.
"The topology of interbank payment flows,"
243, Federal Reserve Bank of New York.
- Soramäki, Kimmo & Bech, Morten L. & Arnold, Jeffrey & Glass, Robert J. & Beyeler, Walter E., 2007. "The topology of interbank payment flows," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 379(1), pages 317-333.
- Nier, Erlend & Yang, Jing & Yorulmazer, Tanju & Alentorn, Amadeo, 2007.
"Network models and financial stability,"
Journal of Economic Dynamics and Control,
Elsevier, vol. 31(6), pages 2033-2060, June.
- Upper, Christian & Worms, Andreas, 2004.
"Estimating bilateral exposures in the German interbank market: Is there a danger of contagion?,"
European Economic Review,
Elsevier, vol. 48(4), pages 827-849, August.
- Upper, Christian & Worms, Andreas, 2002. "Estimating Bilateral Exposures in the German Interbank Market: Is there a Danger of Contagion?," Discussion Paper Series 1: Economic Studies 2002,09, Deutsche Bundesbank, Research Centre.
- Nobuhiro Kiyotaki & John Moore, 2002. "Balance-Sheet Contagion," American Economic Review, American Economic Association, vol. 92(2), pages 46-50, May.
- Gai, Prasanna & Kapadia, Sujit, 2010. "Contagion in financial networks," Bank of England working papers 383, Bank of England.
- Roger Lagunoff & Stacey L. Schreft, 1998.
"A Model of Financial Fragility,"
Game Theory and Information
9803001, EconWPA, revised 30 Apr 1998.
- Jeannette Müller, 2006. "Interbank Credit Lines as a Channel of Contagion," Journal of Financial Services Research, Springer, vol. 29(1), pages 37-60, February.
- Stefano Battiston & Domenico Delli Gatti & Mauro Gallegati & Bruce C. Greenwald & Joseph E. Stiglitz, 2009.
"Liaisons Dangereuses: Increasing Connectivity, Risk Sharing, and Systemic Risk,"
NBER Working Papers
15611, National Bureau of Economic Research, Inc.
- Battiston, Stefano & Delli Gatti, Domenico & Gallegati, Mauro & Greenwald, Bruce & Stiglitz, Joseph E., 2012. "Liaisons dangereuses: Increasing connectivity, risk sharing, and systemic risk," Journal of Economic Dynamics and Control, Elsevier, vol. 36(8), pages 1121-1141.
- Yaron Leitner, 2005. "Financial Networks: Contagion, Commitment, and Private Sector Bailouts," Journal of Finance, American Finance Association, vol. 60(6), pages 2925-2953, December.
- Helmut Elsinger & Alfred Lehar & Martin Summer, 2006.
"Risk Assessment for Banking Systems,"
INFORMS, vol. 52(9), pages 1301-1314, September.
- Upper, Christian, 2011. "Simulation methods to assess the danger of contagion in interbank markets," Journal of Financial Stability, Elsevier, vol. 7(3), pages 111-125, August.
- Boyden, Theodore C., 1958. "Location and Space-Economy. By Walter Isard. New York: Published Jointly by The Technology Press of Massachusetts Institute of Technology and John Wiley & Sons, Inc., 1956. Pp. xix, 350. $8.75," The Journal of Economic History, Cambridge University Press, vol. 18(01), pages 108-110, March.
- Rochet, Jean-Charles & Tirole, Jean, 1996.
"Interbank Lending and Systemic Risk,"
Journal of Money, Credit and Banking,
Blackwell Publishing, vol. 28(4), pages 733-62, November.
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