Resilience to Contagion in Financial Networks
Propagation 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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- 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.
- Lagunoff, Roger & Schreft, Stacey L., 2001.
"A Model of Financial Fragility,"
Journal of Economic Theory,
Elsevier, vol. 99(1-2), pages 220-264, July.
- Roger Lagunoff & Stacey L. Schreft, 1998. "A Model of Financial Fragility," Game Theory and Information 9803001, EconWPA, revised 30 Apr 1998.
- Roger Lagunoff & Stacey L. Schreft, 1998. "A model of financial fragility," Research Working Paper 98-01, Federal Reserve Bank of Kansas City.
- Gai, Prasanna & Kapadia, Sujit, 2010. "Contagion in financial networks," Bank of England working papers 383, Bank of England.
- 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.
- Kimmo Soramaki & Morten L. Bech & Jeffrey Arnold & Robert J. Glass & Walter E. Beyeler, 2006. "The topology of interbank payment flows," Staff Reports 243, Federal Reserve Bank of New York.
- Helmut Elsinger & Alfred Lehar & Martin Summer, 2006. "Risk Assessment for Banking Systems," Management Science, INFORMS, vol. 52(9), pages 1301-1314, September.
- Helmut Elsinger & Alfred Lehar & Martin Summer, 2002. "Risk Assessment for Banking Systems," Working Papers 79, Oesterreichische Nationalbank (Austrian Central Bank).
- 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.
- 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.
- Jeannette Müller, 2006. "Interbank Credit Lines as a Channel of Contagion," Journal of Financial Services Research, Springer;Western Finance Association, vol. 29(1), pages 37-60, February.
- 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.
- 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.
- Nier, Erlend & Yang, Jing & Yorulmazer, Tanju & Alentorn, Amadeo, 2008. "Network models and financial stability," Bank of England working papers 346, Bank of England.
- Yaron Leitner, 2005. "Financial Networks: Contagion, Commitment, and Private Sector Bailouts," Journal of Finance, American Finance Association, vol. 60(6), pages 2925-2953, December.
- Jean-Charles Rochet & Jean Tirole, 1996. "Interbank lending and systemic risk," Proceedings, Board of Governors of the Federal Reserve System (U.S.), pages 733-765.
- Rochet, Jean-Charles & Tirole, Jean, 1996. "Interbank Lending and Systemic Risk," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 28(4), pages 733-762, November.
- 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.
- Nobuhiro Kiyotaki & John Moore, 2002. "Balance-Sheet Contagion," American Economic Review, American Economic Association, vol. 92(2), pages 46-50, May.
- 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 & Francis Journals, vol. 4(6), pages 677-684. Full references (including those not matched with items on IDEAS)
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