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

  • Oliver Kley
  • Claudia Kl\"uppelberg
  • Lukas Reichel
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    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.

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    Paper provided by in its series Papers with number 1406.6575.

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    Date of creation: Jun 2014
    Date of revision:
    Handle: RePEc:arx:papers:1406.6575
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    1. 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.
    2. 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.
    3. 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.
    4. Craig, Ben R. & von Peter, Goetz, 2010. "Interbank tiering and money center banks," Discussion Paper Series 2: Banking and Financial Studies 2010,12, Deutsche Bundesbank, Research Centre.
    5. 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.
    6. Josselin Garnier & George Papanicolaou & Tzu-Wei Yang, 2012. "Large deviations for a mean field model of systemic risk," Papers 1204.3536,, revised Aug 2012.
    7. 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.
    8. Hamed Amini & Rama Cont & Andreea Minca, 2011. "Resilience to Contagion in Financial Networks," Papers 1112.5687,
    9. Furfine, Craig H, 2003. " Interbank Exposures: Quantifying the Risk of Contagion," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 35(1), pages 111-28, February.
    10. Thomas R. Hurd & James P. Gleeson, 2011. "A framework for analyzing contagion in banking networks," Papers 1110.4312,
    11. 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.
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