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Calculating Value-at-Risk contributions in CreditRisk+

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  • Hermann Haaf
  • Dirk Tasche

Abstract

Credit Suisse First Boston (CSFB) launched in 1997 the model CreditRisk+ which aims at calculating the loss distribution of a credit portfolio on the basis of a methodology from actuarial mathematics. Knowing the loss distribution, it is possible to determine quantile-based values-at-risk (VaRs) for the portfolio. An open question is how to attribute fair VaR contributions to the credits or loans forming the portfolio. One approach is to define the contributions as certain conditional expectations. We develop an algorithm for the calculations involved in this approach. This algorithm can be adapted for computing the contributions to the portfolio Expected Shortfall (ES). Key words: CreditRisk+; Value-at-Risk (VaR); risk contribution; conditional expectation.

Suggested Citation

  • Hermann Haaf & Dirk Tasche, 2001. "Calculating Value-at-Risk contributions in CreditRisk+," Papers cond-mat/0112045, arXiv.org, revised Mar 2002.
    • Handle: RePEc:arx:papers:cond-mat/0112045
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    References listed on IDEAS

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    1. Acerbi, Carlo & Tasche, Dirk, 2002. "On the coherence of expected shortfall," Journal of Banking & Finance, Elsevier, vol. 26(7), pages 1487-1503, July.
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    Cited by:

    1. Gordy, Michael B., 2003. "A risk-factor model foundation for ratings-based bank capital rules," Journal of Financial Intermediation, Elsevier, vol. 12(3), pages 199-232, July.
    2. Carol Alexandra, 2003. "The Present, Future and Imperfect of Financial Risk Management," ICMA Centre Discussion Papers in Finance icma-dp2003-12, Henley Business School, University of Reading, revised Feb 2004.

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