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Confidence Intervals for Asset Correlations in the Asymptotic Single Risk Factor Model

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Abstract

The asymptotic single risk factor (ASRF) model, which has become a standard credit portfolio model in the banking industry, is parameterized by default probabilities and asset (return) correlations. In this model, individual and simultaneous confidence intervals for asset correlations are developed on the basis of observed default rates. Since the length of these confidence intervals depends on the confidence level chosen, they can be used to define stress scenarios for asset correlations.

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References

  1. Basel Committee on Banking Supervision. International convergence of capital measurement and capital standards—A revised framework, comprehensive version. http://www.bis.org/publ/bcbs128.htm, June 2006. Accessed November 12, 2010.

  2. Christian Bluhm, Ludger Overbeck, and Christoph Wagner. Introduction to Credit Risk Modeling. Chapman & Hall/CRC, Boca Raton, 2nd edition, 2010.

    Google Scholar 

  3. Jens H. E. Christensen, Ernst Hansen, and David Lando. Confidence sets for continuous-time rating transition probabilities. J. Banking Finance, 28(11): 2575–2602, 2004.

    Article  Google Scholar 

  4. Klaus Düllmann and Monika Trapp. Systematic risk in recovery rates – an empirical analysis of U.S. corporate credit exposures. Number 2. Frankfurt am Main, June 2004.

    Google Scholar 

  5. R. Frey and A. J McNeil. Dependent defaults in models of portfolio credit risk. Journal of Risk, 6(1): 59–92, 2003.

    Google Scholar 

  6. Michael B. Gordy. A comparative anatomy of credit risk models. J. Banking Finance, 24(1– 2): 119–149, 2000.

    Article  Google Scholar 

  7. Michael B. Gordy. A risk-factor model foundation for ratings-based bank capital rules. J. Finan. Intermediation, 12(3): 199–232, 2003.

    Article  Google Scholar 

  8. Samuel Hanson and Til Schuermann. Confidence intervals for probabilities of default. J. Banking Finance, 30(8): 2281–2301, 2006.

    Article  Google Scholar 

  9. Steffi Höse. Statistische Genauigkeit bei der simultanen Schätzung von Abhängigkeitsstrukturen und Ausfallwahrscheinlichkeiten in Kreditportfolios. Shaker Verlag, Aachen, 2007.

    Google Scholar 

  10. Steffi Höse and Stefan Huschens. Simultaneous confidence intervals for default probabilities. In Martin Schader, Wolfgang Gaul, and Maurizio Vichi, editors, Between Data Science and Applied Data Analysis, pages 555–560. Springer, Berlin, 2003.

    Chapter  Google Scholar 

  11. Steffi Höse and Stefan Huschens. Confidence intervals for correlations in the asymptotic single risk factor model. Dresdner Beiträge zu Quantitativen Verfahren, 50/09, 2009.

    Google Scholar 

  12. Alexander J. McNeil, Rüdiger Frey, and Paul Embrechts. Quantitative Risk Management: Concepts, Techniques and Tools. Princeton University Press, Princeton, 2005.

    Google Scholar 

  13. Alexander J. McNeil and Jonathan P. Wendin. Bayesian inference for generalized linear mixed models of portfolio credit risk. J. Empirical Finance, 14(2): 131–149, 2007.

    Article  Google Scholar 

  14. Katja Pluto and Dirk Tasche. Estimating probabilities of default for low default portfolios. In Bernd Engelmann and Robert Rauhmeier, editors, The Basel II Risk Parameters: Estimation, Validation, and Stress Testing, pages 79–103. Springer, Berlin, 2006.

    Chapter  Google Scholar 

  15. Daniel Rösch and Harald Scheule. Stress-testing credit risk parameters: an application to retail loan portfolios. The Journal of Risk Model Validation, 1(1): 55–75, Spring 2007.

    Google Scholar 

  16. Philipp J. Schönbucher. Credit Derivatives Pricing Models: Models, Pricing and Implementation. John Wiley & Sons, Chichester, 2003.

    Google Scholar 

  17. Oldrich Vasicek. Loan portfolio value. Risk, 15(12): 160–162, December 2002.

    Google Scholar 

  18. Oldrich Alfons Vasicek. Limiting loan loss probability distribution. http://www.moodyskmv.com/research/files/wp/Limiting_Loan_Loss_Probability_Distribution.pdf, 1991. Accessed November 12, 2010.

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Correspondence to Steffi Höse .

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Höse, S., Huschens, S. (2011). Confidence Intervals for Asset Correlations in the Asymptotic Single Risk Factor Model. In: Hu, B., Morasch, K., Pickl, S., Siegle, M. (eds) Operations Research Proceedings 2010. Operations Research Proceedings. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20009-0_18

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