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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Bibliographic InfoPaper provided by arXiv.org in its series Papers with number 1112.5687.
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)
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- Helmut Elsinger & Alfred Lehar & Martin Summer, 2006.
"Risk Assessment for Banking Systems,"
Management Science, INFORMS,
INFORMS, vol. 52(9), pages 1301-1314, September.
- Helmut Elsinger & Alfred Lehar & Martin Summer, 2002. "Risk Assessment for Banking Systems," Working Papers, Oesterreichische Nationalbank (Austrian Central Bank) 79, Oesterreichische Nationalbank (Austrian Central Bank).
- 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.
- Upper, Christian & Worms, Andreas, 2004. "Estimating bilateral exposures in the German interbank market: Is there a danger of contagion?," European Economic Review, Elsevier, Elsevier, vol. 48(4), pages 827-849, August.
- Lagunoff, Roger & Schreft, Stacey L., 2001.
"A Model of Financial Fragility,"
Journal of Economic Theory, Elsevier,
Elsevier, vol. 99(1-2), pages 220-264, July.
- Roger D. Lagunoff & Stacey L. Schreft, 1998. "A model of financial fragility," Research Working Paper, Federal Reserve Bank of Kansas City 98-01, Federal Reserve Bank of Kansas City.
- Roger Lagunoff & Stacey L. Schreft, 1998. "A Model of Financial Fragility," Game Theory and Information, EconWPA 9803001, EconWPA, revised 30 Apr 1998.
- 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, Elsevier, vol. 36(8), pages 1121-1141.
- Nobuhiro Kiyotaki & John Moore, 2002. "Balance-Sheet Contagion," American Economic Review, American Economic Association, American Economic Association, vol. 92(2), pages 46-50, May.
- 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, Cambridge University Press, vol. 18(01), pages 108-110, March.
- Michael Boss & Helmut Elsinger & Martin Summer & Stefan Thurner, 2004. "Network topology of the interbank market," Quantitative Finance, Taylor & Francis Journals, Taylor & Francis Journals, vol. 4(6), pages 677-684.
- Gai, Prasanna & Kapadia, Sujit, 2010. "Contagion in financial networks," Bank of England working papers, Bank of England 383, Bank of England.
- Yaron Leitner, 2005. "Financial Networks: Contagion, Commitment, and Private Sector Bailouts," Journal of Finance, American Finance Association, American Finance Association, vol. 60(6), pages 2925-2953, December.
- 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,
Elsevier, vol. 379(1), pages 317-333.
- Rochet, Jean-Charles & Tirole, Jean, 1996.
"Interbank Lending and Systemic Risk,"
Journal of Money, Credit and Banking, Blackwell Publishing,
Blackwell Publishing, vol. 28(4), pages 733-62, November.
- Jean-Charles Rochet & Jean Tirole, 1996. "Interbank lending and systemic risk," Proceedings, Board of Governors of the Federal Reserve System (U.S.), Board of Governors of the Federal Reserve System (U.S.), pages 733-765.
- Upper, Christian, 2011. "Simulation methods to assess the danger of contagion in interbank markets," Journal of Financial Stability, Elsevier, Elsevier, vol. 7(3), pages 111-125, August.
- Jeannette Müller, 2006. "Interbank Credit Lines as a Channel of Contagion," Journal of Financial Services Research, Springer, Springer, vol. 29(1), pages 37-60, February.
- Nier, Erlend & Yang, Jing & Yorulmazer, Tanju & Alentorn, Amadeo, 2007.
"Network models and financial stability,"
Journal of Economic Dynamics and Control, Elsevier,
Elsevier, vol. 31(6), pages 2033-2060, June.
- Larry Eisenberg & Thomas H. Noe, 2001. "Systemic Risk in Financial Systems," Management Science, INFORMS, INFORMS, vol. 47(2), pages 236-249, February.
- Oliver Kley & Claudia Kl\"uppelberg & Lukas Reichel, 2014. "Systemic risk through contagion in a core-periphery structured banking network," Papers 1406.6575, arXiv.org.
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