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A systematic approach to multi-period stress testing of portfolio credit risk

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  • Thomas Breuer

    ()
    (Research Centre PPE)

  • Martin Jandačka

    ()
    (Research Centre PPE)

  • Javier Mencía

    ()
    (Banco de España)

  • Martin Summer

    ()
    (Oesterreichische Nationalbank)

Abstract

We propose a new method for analysing multiperiod stress scenarios for portfolio credit risk more systematically than in the current practice of macro stress testing. Our method quantifies the plausibility of scenarios by considering the distance of the stress scenario from an average scenario. For a given level of plausibility our method searches systematically for the most adverse scenario for the given portfolio. This method therefore gives a formal criterion for judging the plausibility of scenarios and it makes sure that no plausible scenario will be missed. We show how this method can be applied to a range of models already in use among stress testing practitioners. While worst case search requires numerical optimisation we show that for practically relevant cases we can work with reasonably good linear approximations to the portfolio loss function that make the method computationally very efficient and easy to implement. Applying our approach to data from the Spanish loan register and using a portfolio credit risk model we show that, compared to standard stress test procedures, our method identifies more harmful scenarios that are equally plausible.

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File URL: http://www.bde.es/f/webbde/SES/Secciones/Publicaciones/PublicacionesSeriadas/DocumentosTrabajo/10/Fic/dt1018e.pdf
File Function: First version, June 2010
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Bibliographic Info

Paper provided by Banco de Espa�a in its series Banco de Espa�a Working Papers with number 1018.

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Length: 26 pages
Date of creation: Jun 2010
Date of revision:
Handle: RePEc:bde:wpaper:1018

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Keywords: Stress Testing; Credit Risk; Worst Case Search; Maximum Loss;

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  1. Thomas Breuer & Martin Jandacka & Klaus Rheinberger & Martin Summer, 2009. "How to Find Plausible, Severe and Useful Stress Scenarios," International Journal of Central Banking, International Journal of Central Banking, vol. 5(3), pages 205-224, September.
  2. Virolainen , Kimmo, 2004. "Macro stress testing with a macroeconomic credit risk model for Finland," Research Discussion Papers 18/2004, Bank of Finland.
  3. Claudio Borio & Mathias Drehmann, 2009. "Towards an Operational Framework for Financial Stability: "Fuzzy" Measurement and its Consequences," Working Papers Central Bank of Chile 544, Central Bank of Chile.
  4. Merton, Robert C, 1974. "On the Pricing of Corporate Debt: The Risk Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 29(2), pages 449-70, May.
  5. Philippe Artzner & Freddy Delbaen & Jean-Marc Eber & David Heath, 1999. "Coherent Measures of Risk," Mathematical Finance, Wiley Blackwell, vol. 9(3), pages 203-228.
  6. 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.
  7. Miroslav Misina & David Tessier & Shubhasis Dey, 2006. "Stress Testing the Corporate Loans Portfolio of the Canadian Banking Sector," Working Papers 06-47, Bank of Canada.
  8. Pesaran, M.H. & Schuermann, T. & Treutler, B-J. & Weiner, S.M., 2003. "Macroeconomic Dynamics and Credit Risk: A Global Perspective," Cambridge Working Papers in Economics 0330, Faculty of Economics, University of Cambridge.
  9. Rodrigo Alfaro & Mathias Drehmann, 2009. "Macro stress tests and crises: what can we learn?," BIS Quarterly Review, Bank for International Settlements, December.
  10. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-54, May-June.
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Cited by:
  1. McNeil, Alexander J. & Smith, Andrew D., 2012. "Multivariate stress scenarios and solvency," Insurance: Mathematics and Economics, Elsevier, vol. 50(3), pages 299-308.
  2. Breuer, Thomas & Csiszár, Imre, 2013. "Systematic stress tests with entropic plausibility constraints," Journal of Banking & Finance, Elsevier, vol. 37(5), pages 1552-1559.
  3. Michal Franta & Jozef Baruník & Roman Horváth & Katerina Smídková, 2014. "Are Bayesian Fan Charts Useful? The Effect of Zero Lower Bound and Evaluation of Financial Stability Stress Tests," International Journal of Central Banking, International Journal of Central Banking, vol. 10(1), pages 159-188, March.
  4. Bellotti, Tony & Crook, Jonathan, 2013. "Forecasting and stress testing credit card default using dynamic models," International Journal of Forecasting, Elsevier, vol. 29(4), pages 563-574.

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