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Systemic risk through contagion in a core-periphery structured banking network

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  • Oliver Kley
  • Claudia Kluppelberg
  • Lukas Reichel

Abstract

We contribute to the understanding of how systemic risk arises in a network of credit-interlinked agents. Motivated by empirical studies we formulate a network model which, despite its simplicity, depicts the nature of interbank markets better than a homogeneous model. The components of a vector Ornstein-Uhlenbeck process living on the vertices of the network describe the financial robustnesses of the agents. For this system, we prove a LLN for growing network size leading to a propagation of chaos result. We state properties, which arise from such a structure, and examine the effect of inhomogeneity on several risk management issues and the possibility of contagion.

Suggested Citation

  • Oliver Kley & Claudia Kluppelberg & Lukas Reichel, 2014. "Systemic risk through contagion in a core-periphery structured banking network," Papers 1406.6575, arXiv.org.
  • Handle: RePEc:arx:papers:1406.6575
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    File URL: http://arxiv.org/pdf/1406.6575
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    References listed on IDEAS

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    1. Craig, Ben & von Peter, Goetz, 2014. "Interbank tiering and money center banks," Journal of Financial Intermediation, Elsevier, vol. 23(3), pages 322-347.
    2. Josselin Garnier & George Papanicolaou & Tzu-Wei Yang, 2012. "Large deviations for a mean field model of systemic risk," Papers 1204.3536, arXiv.org, revised Aug 2012.
    3. Furfine, Craig H, 2003. " Interbank Exposures: Quantifying the Risk of Contagion," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 35(1), pages 111-128, February.
    4. Thomas R. Hurd & James P. Gleeson, 2011. "A framework for analyzing contagion in banking networks," Papers 1110.4312, arXiv.org.
    5. 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.
    6. Hamed Amini & Rama Cont & Andreea Minca, 2011. "Resilience to Contagion in Financial Networks," Papers 1112.5687, arXiv.org.
    7. 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.
    8. 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.
    9. Simon Wells, 2004. "Financial interlinkages in the United Kingdom's interbank market and the risk of contagion," Bank of England working papers 230, Bank of England.
    10. George Sheldon & Martin Maurer, 1998. "Interbank Lending and Systemic Risk: An Empirical Analysis for Switzerland," Swiss Journal of Economics and Statistics (SJES), Swiss Society of Economics and Statistics (SSES), vol. 134(IV), pages 685-704, December.
    11. Hans Degryse & Grégory Nguyen, 2004. "Interbank exposures: an empirical examination of systemic risk in the Belgian banking system," Working Paper Research 43, National Bank of Belgium.
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