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Model-Based Stress Tests: Linking Stress Tests to VaR for Market Risk

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Author Info
Carol Alexander () (ICMA Centre, University of Reading)
Elizabeth Sheedy (Macquarie Applied Finance Centre, Macquarie University, Sydney)

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Abstract

Under the new capital accord stress tests are to be included in market risk regulatory capital calculations. This development necessitates a coherent and objective framework for stress testing portfolios exposed to market risk. Following recent criticism of stress testing methods our tests are conducted in the context of risk models, building on the VaR literature. First, to identify the most suitable risk models for stress testing, we apply an extensive back testing procedure that focuses on extreme market movements. We consider eight possible risk models including both conditional and unconditional models and four possible return distributions (normal, Student’s t, empirical and normal mixture) applied to three heavily traded currency pairs using a sample of daily data spanning more than 20 years. Finding that risk models accommodating both volatility clustering and heavy tails are the most accurate predictors of extreme returns, we develop a corresponding model-based stress testing methodology. Our results are compared with traditional stress tests and we assess the implications for capital adequacy. On the basis of our results we conclude that the new recommendations for market risk regulatory capital calculation will have little impact on current levels of foreign exchange regulatory capital.

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Publisher Info
Paper provided by Henley Business School, Reading University in its series ICMA Centre Discussion Papers in Finance with number icma-dp2007-02.

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Length: 36 pages
Date of creation: Apr 2007
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Handle: RePEc:rdg:icmadp:icma-dp2007-02

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Related research
Keywords: Value-at-risk models; stress testing; market risk; exhange rates; GARCH;

Find related papers by JEL classification:
G18 - Financial Economics - - General Financial Markets - - - Government Policy and Regulation
G19 - Financial Economics - - General Financial Markets - - - Other
G21 - Financial Economics - - Financial Institutions and Services - - - Banks; Other Depository Institutions; Mortgages

References listed on IDEAS
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  1. Emese Lazar & Carol Alexander, 2006. "Normal mixture GARCH(1,1): applications to exchange rate modelling," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 21(3), pages 307-336. [Downloadable!]
  2. Jon Danielsson & Casper G. De Vries, 2000. "Value-at-Risk and Extreme Returns," Annales d'Economie et de Statistique, ADRES, issue 60, pages 11, Octobre-D. [Downloadable!]
    Other versions:
  3. So, Mike K.P. & Yu, Philip L.H., 2006. "Empirical analysis of GARCH models in value at risk estimation," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 16(2), pages 180-197, April. [Downloadable!] (restricted)
  4. Tan, Kok-Hui & Chan, Inn-Leng, 2003. "Stress testing using VaR approach--a case for Asian currencies," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 13(1), pages 39-55, February. [Downloadable!] (restricted)
  5. Vilasuso, Jon, 2002. "Forecasting exchange rate volatility," Economics Letters, Elsevier, vol. 76(1), pages 59-64, June. [Downloadable!] (restricted)
  6. Paul H. Kupiec, 1995. "Techniques for verifying the accuracy of risk measurement models," Finance and Economics Discussion Series 95-24, Board of Governors of the Federal Reserve System (U.S.).
  7. Christoffersen, Peter F, 1998. "Evaluating Interval Forecasts," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(4), pages 841-62, November.
  8. Bams, Dennis & Lehnert, Thorsten & Wolff, Christian C.P., 2005. "An evaluation framework for alternative VaR-models," Journal of International Money and Finance, Elsevier, vol. 24(6), pages 944-958, October. [Downloadable!] (restricted)
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  9. Pritsker, Matthew, 2006. "The hidden dangers of historical simulation," Journal of Banking & Finance, Elsevier, vol. 30(2), pages 561-582, February. [Downloadable!] (restricted)
  10. Jose A. Lopez, 2005. "Stress tests: useful complements to financial risk models," FRBSF Economic Letter, Federal Reserve Bank of San Francisco, issue Jun 24. [Downloadable!]
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Allan Brace & Mark Lauer & Milo Rado, 2008. "A Stylised Model for Extreme Shocks: Four Moments of the Apocalypse," Research Paper Series 224, Quantitative Finance Research Centre, University of Technology, Sydney. [Downloadable!]
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