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New simulation methodology for risk analysis: importance sampling for a mixed Poisson model of portfolio credit risk

Published: 07 December 2003 Publication History

Abstract

Simulation is widely used to estimate losses due to default and other credit events in financial portfolios. The challenge in doing this efficiently results from (i) rare-event aspects of large losses and (ii) complex dependence between defaults of multiple obligors. We discuss importance sampling techniques to address this problem in two portfolio credit risk models developed in the financial industry, with particular emphasis on a mixed Poisson model. We give conditions for asymptotic optimality of the estimators as the portfolio size grows.

References

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Credit Suisse Financial Products. 1997. CreditRisk+: A CreditRisk Management Framework. London.
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Crouhy, M., D. Galai, and R. Mark. 2001. Risk Management. New York: McGraw-Hill.
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Dembo A. and O. Zeitouni. 1998. Large Deviations Techniques and Applications, 2nd ed. New York: Springer.
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Glasserman P., P. Heidelberger, P. Shahabuddin. 1999. Asymptotically optimal importance sampling and stratification for pricing path-dependent options. Mathematical Finance 9:117--152.
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Glasserman, P., and J. Li. (2003). In preparation.
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Gupton, G., C. Finger, M. Bhatia. 1997. CreditMetrics Technical Document. J. P. Morgan & Co., New York. Available at <<www.riskmetrics.com>.
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Johnson, N. L., S. Kotz, and A. W. Kemp. 1993. Univariate Discrete Distributions, 2nd ed. New York: Wiley.
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Li, D. 2000 On default correlation: a copula function approach. Journal of Fixed Income 9:43--54.
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Cited By

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  • (2010)Importance sampling for tail risk in discretely rebalanced portfoliosProceedings of the Winter Simulation Conference10.5555/2433508.2433837(2655-2665)Online publication date: 5-Dec-2010
  • (2007)Efficient Monte Carlo methods for convex risk measures in portfolio credit risk modelsProceedings of the 39th conference on Winter simulation: 40 years! The best is yet to come10.5555/1351542.1351711(958-966)Online publication date: 9-Dec-2007
  1. New simulation methodology for risk analysis: importance sampling for a mixed Poisson model of portfolio credit risk

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    Published In

    cover image ACM Conferences
    WSC '03: Proceedings of the 35th conference on Winter simulation: driving innovation
    December 2003
    2094 pages
    ISBN:0780381327

    Sponsors

    • IIE: Institute of Industrial Engineers
    • INFORMS/CS: Institute for Operations Research and the Management Sciences/College on Simulation
    • ASA: American Statistical Association
    • ACM: Association for Computing Machinery
    • SIGSIM: ACM Special Interest Group on Simulation and Modeling
    • IEEE/CS: Institute of Electrical and Electronics Engineers/Computer Society
    • NIST: National Institute of Standards and Technology
    • (SCS): The Society for Modeling and Simulation International
    • IEEE/SMCS: Institute of Electrical and Electronics Engineers/Systems, Man, and Cybernetics Society

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    Winter Simulation Conference

    Publication History

    Published: 07 December 2003

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    WSC03
    Sponsor:
    • IIE
    • INFORMS/CS
    • ASA
    • ACM
    • SIGSIM
    • IEEE/CS
    • NIST
    • (SCS)
    • IEEE/SMCS
    WSC03: Winter Simulation Conference 2003
    December 7 - 10, 2003
    Louisiana, New Orleans

    Acceptance Rates

    WSC '03 Paper Acceptance Rate 128 of 189 submissions, 68%;
    Overall Acceptance Rate 3,413 of 5,075 submissions, 67%

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    View all
    • (2010)Importance sampling for tail risk in discretely rebalanced portfoliosProceedings of the Winter Simulation Conference10.5555/2433508.2433837(2655-2665)Online publication date: 5-Dec-2010
    • (2007)Efficient Monte Carlo methods for convex risk measures in portfolio credit risk modelsProceedings of the 39th conference on Winter simulation: 40 years! The best is yet to come10.5555/1351542.1351711(958-966)Online publication date: 9-Dec-2007

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