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Credit contagion and aggregate losses

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  • Giesecke, Kay
  • Weber, Stefan
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    Abstract

    Credit contagion refers to the propagation of economic distress from one firm or sovereign government to another. In this paper we model credit contagion phenomena and study the fluctuation of aggregate credit losses on large portfolios of financial positions. The joint dynamics of firms' credit ratings is modeled by a voter process, which is well-known in the theory of interacting particle systems. We clarify the structure of the equilibrium joint rating distribution using ergodic decomposition. We analyze the quantiles of the portfolio loss distribution and in particular their relation to the degree of model risk. After a proper re-scaling taking care of the heavy tails induced by the contagion dynamics, we provide a normal approximation of both the equilibrium rating distribution and the portfolio loss distribution. --

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    Bibliographic Info

    Paper provided by Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes in its series SFB 373 Discussion Papers with number 2002,73.

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    Date of creation: 2002
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    Handle: RePEc:zbw:sfb373:200273

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    Related research

    Keywords: credit contagion; portfolio losses; voter model; Choquet theory; ergodic decomposition; re-scaling;

    References

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    1. Duffie, Darrell & Singleton, Kenneth J, 1999. "Modeling Term Structures of Defaultable Bonds," Review of Financial Studies, Society for Financial Studies, vol. 12(4), pages 687-720.
    2. Freixas, Xavier & Parigi, Bruno & Rochet, Jean Charles, 1999. "Systemic Risk, Interbank Relations and Liquidity Provision by the Central Bank," CEPR Discussion Papers 2325, C.E.P.R. Discussion Papers.
    3. Robert A. Jarrow, 2001. "Counterparty Risk and the Pricing of Defaultable Securities," Journal of Finance, American Finance Association, vol. 56(5), pages 1765-1799, October.
    4. 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.
    5. Giesecke, Kay, 2001. "Correlated default with incomplete information," SFB 373 Discussion Papers 2002,30, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
    6. Stefan Weber & Kay Giesecke, 2003. "Credit Contagion and Aggregate Losses," Computing in Economics and Finance 2003 246, Society for Computational Economics.
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    Cited by:
    1. Leippold, Markus & Vanini, Paolo & Ebnoether, Silvan, 2006. "Optimal credit limit management under different information regimes," Journal of Banking & Finance, Elsevier, vol. 30(2), pages 463-487, February.
    2. Giesecke, Kay & Weber, Stefan, 2004. "Cyclical correlations, credit contagion, and portfolio losses," Journal of Banking & Finance, Elsevier, vol. 28(12), pages 3009-3036, December.
    3. Dahl, Drew & Logan, Andrew, 2007. "The exposure of international banks to cross-country interdependencies: An empirical analysis of overdue claims," Journal of Multinational Financial Management, Elsevier, vol. 17(3), pages 203-213, July.
    4. Drew Dahl & Andrew Logan, 2005. "The exposure of international bank loans to third-country risk: an empirical analysis of overdue claims," Bank of England working papers 247, Bank of England.
    5. Giesecke, Kay, 2004. "Correlated default with incomplete information," Journal of Banking & Finance, Elsevier, vol. 28(7), pages 1521-1545, July.
    6. Nystrom, Kaj & Skoglund, Jimmy, 2006. "A credit risk model for large dimensional portfolios with application to economic capital," Journal of Banking & Finance, Elsevier, vol. 30(8), pages 2163-2197, August.

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