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Regulatory Evaluation of Value-at-Risk Models

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  • Jose A. Lopez

Abstract

Value-at-risk (VaR) models have been accepted by banking regulators as tools for setting capital requirements for market risk exposure. Three statistical methodologies for evaluating the accuracy of such models are examined; specifically, evaluation based on the binomial distribution, interval forecast evaluation as proposed by Christoffersen (1995), and distribution forecast evaluation as proposed by Crnkovic and Drachman (1995). These methodologies test whether the VaR forecasts in question exhibit properties characteristic of accurate VaR forecasts. However, the statistical tests used often have low power against alternative models. A new evaluation methodology, based on the probability forecasting framework discussed by Lopez (1995), is proposed. This methodology gauges the accuracy of VaR models using forecast evaluation techniques. It is argued that this methodology provides users, such as regulatory agencies, with greater flexibility to tailor the evaluations to their particular interests by defining the appropriate loss function. Simulation results indicate that this methodology is clearly capable of differentiating among accurate and alternative VaR models. This paper was presented at the Financial Institutions Center's October 1996 conference on "

Suggested Citation

  • Jose A. Lopez, 1996. "Regulatory Evaluation of Value-at-Risk Models," Center for Financial Institutions Working Papers 96-51, Wharton School Center for Financial Institutions, University of Pennsylvania.
  • Handle: RePEc:wop:pennin:96-51
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    File URL: http://fic.wharton.upenn.edu/fic/papers/96/9651.pdf
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    Cited by:

    1. Haas, Markus & Mittnik, Stefan & Paolella, Marc S., 2009. "Asymmetric multivariate normal mixture GARCH," Computational Statistics & Data Analysis, Elsevier, vol. 53(6), pages 2129-2154, April.
    2. Jose A. Lopez, 1999. "Methods for evaluating value-at-risk estimates," Economic Review, Federal Reserve Bank of San Francisco, pages 3-17.
    3. Jeremy Berkowitz, 1999. "Evaluating the forecasts of risk models," Finance and Economics Discussion Series 1999-11, Board of Governors of the Federal Reserve System (U.S.).
    4. repec:eee:reensy:v:165:y:2017:i:c:p:102-114 is not listed on IDEAS
    5. L. Kourouma & D. Dupre & G. Sanfilippo & O. Taramasco, 2011. "Extreme Value at Risk and Expected Shortfall during Financial Crisis," Post-Print halshs-00658495, HAL.
    6. Mark R. Manfredo. & Raymond M. Leuthold, 1999. "Market Risk Measurement and the Cattle Feeding Margin: An Application of Value-at-Risk," Finance 9908002, EconWPA.
    7. Lopez, Jose A. & Saidenberg, Marc R., 2000. "Evaluating credit risk models," Journal of Banking & Finance, Elsevier, vol. 24(1-2), pages 151-165, January.
    8. Michael P. Clements & Nick Taylor, 2003. "Evaluating interval forecasts of high-frequency financial data," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 18(4), pages 445-456.
    9. repec:sbe:breart:v:27:y:2007:i:1:a:1570 is not listed on IDEAS
    10. repec:kap:rqfnac:v:50:y:2018:i:4:d:10.1007_s11156-017-0652-y is not listed on IDEAS
    11. William E. Nganje & Mounir Siaplay & Simeon Kaitibie & Emmanuel T. Acquah, 2006. "Predicting food safety losses in turkey processing and the economic incentives of hazard analysis and critical control point (HACCP) intervention," Agribusiness, John Wiley & Sons, Ltd., vol. 22(4), pages 475-489.
    12. Aymen BEN REJEB & Ousama BEN SALHA & Jaleleddine BEN REJEB, 2012. "Value-at-Risk Analysis for the Tunisian Currency Market: A Comparative Study," International Journal of Economics and Financial Issues, Econjournals, vol. 2(2), pages 110-125.
    13. Sean D. Campbell, 2005. "A review of backtesting and backtesting procedures," Finance and Economics Discussion Series 2005-21, Board of Governors of the Federal Reserve System (U.S.).
    14. Xiongwei Ju & Neil D. Pearson, 1998. "Using Value-at-Risk to Control Risk Taking: How Wrong Can you Be?," Finance 9810002, EconWPA.
    15. Manfredo, Mark R. & Leuthold, Raymond M., 1999. "Measuring Market Risk Of The Cattle Feeding Margin: An Application Of Value-At-Risk Analysis," 1999 Annual meeting, August 8-11, Nashville, TN 21628, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    16. Lima, Luiz Renato & Néri, Breno Pinheiro, 2007. "Comparing Value-at-Risk Methodologies," Brazilian Review of Econometrics, Sociedade Brasileira de Econometria - SBE, vol. 27(1), May.
    17. Michael Clements, 2006. "Evaluating the survey of professional forecasters probability distributions of expected inflation based on derived event probability forecasts," Empirical Economics, Springer, vol. 31(1), pages 49-64, March.
    18. Stephanos Papadamou & George Stephanides, 2004. "Evaluating the style-based risk model for equity mutual funds investing in Europe," Applied Financial Economics, Taylor & Francis Journals, vol. 14(10), pages 751-760.
    19. Glynn Tonsor & Ted Schroeder, 2011. "Multivariate forecasting of a commodity portfolio: application to cattle feeding margins and risk," Applied Economics, Taylor & Francis Journals, vol. 43(11), pages 1329-1339.

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