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Credit risk enhancement in a network of interdependent firms

  • Neu, Peter
  • Kühn, Reimer
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    We generalize existing structural models for credit risk to capture the impact of counterparty defaults on economic capital allocated to banks’ loan portfolios. Exploring the analogy to a lattice gas model from physics, correlations between sequential defaults are modeled as due to functionally defined, heterogeneous couplings between mutually dependent counterparties. We show that—already for moderate micro-economic dependencies—counterparty risk results in a fattening of the tails in the portfolio loss distribution. In particular, for stronger mutually supportive relationship between the firms, collective phenomena such as bursts and avalanches of defaults can be observed in the model. In this context, traditional credit risk models are inadequate because they underestimate the required capital buffer. Our model setting is particularly applicable for doing stress analyses of credit risk in loan portfolios.

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    Article provided by Elsevier in its journal Physica A: Statistical Mechanics and its Applications.

    Volume (Year): 342 (2004)
    Issue (Month): 3 ()
    Pages: 639-655

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    Handle: RePEc:eee:phsmap:v:342:y:2004:i:3:p:639-655
    DOI: 10.1016/j.physa.2004.05.062
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    1. Gordy, Michael B., 2000. "A comparative anatomy of credit risk models," Journal of Banking & Finance, Elsevier, vol. 24(1-2), pages 119-149, January.
    2. 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.
    3. Michael B. Gordy, 2002. "A risk-factor model foundation for ratings-based bank capital rules," Finance and Economics Discussion Series 2002-55, Board of Governors of the Federal Reserve System (U.S.).
    4. Jarrow, Robert A & Turnbull, Stuart M, 1995. " Pricing Derivatives on Financial Securities Subject to Credit Risk," Journal of Finance, American Finance Association, vol. 50(1), pages 53-85, March.
    5. 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.
    6. Merton, Robert C., 1973. "On the pricing of corporate debt: the risk structure of interest rates," Working papers 684-73., Massachusetts Institute of Technology (MIT), Sloan School of Management.
    7. Giesecke, Kay & Weber, Stefan, 2003. "Cyclical correlations, credit contagion, and portfolio losses," SFB 373 Discussion Papers 2003,11, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
    8. Kühn, Reimer & Neu, Peter, 2003. "Functional correlation approach to operational risk in banking organizations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 322(C), pages 650-666.
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