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Sensitivity Analysis of Values at Risk

Author

Listed:
  • Christian Gourieroux

    (CREST and CEPREMAP)

  • J. P. Laurent

    (Universite de Lyon I and CREST)

  • Olivier Scaillet

    (Universite Catholique de Louvain)

Abstract

The aim of this paper is to analyze the sensitivity of Value at Risk (VaR) with respect to portfolio allocation. We derive analytical expressions for the first and second derivatives of the Value at Risk, and explain how they can be used to simplify statistical inference and to perform a local analysis of the Value at Risk. An empirical illustration of such an analysis is given for a portfolio of French stocks.

Suggested Citation

  • Christian Gourieroux & J. P. Laurent & Olivier Scaillet, 2000. "Sensitivity Analysis of Values at Risk," Econometric Society World Congress 2000 Contributed Papers 0162, Econometric Society.
    • Handle: RePEc:ecm:wc2000:0162
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    References listed on IDEAS

    as
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    6. Stoughton, Neal & Zechner, Josef, 1999. "Optimal Capital Allocation Using RAROC And EVA," CEPR Discussion Papers 2344, C.E.P.R. Discussion Papers.
    7. Jarque, Carlos M. & Bera, Anil K., 1980. "Efficient tests for normality, homoscedasticity and serial independence of regression residuals," Economics Letters, Elsevier, vol. 6(3), pages 255-259.
    8. Christian Gourieroux & Joanna Jasiak, 1999. "Nonlinear Innovations and Impulse Response," Working Papers 99-44, Center for Research in Economics and Statistics.
    9. David F. Babbel & Anthony M. Santomero, 1997. "Risk Management by Insurers: An Analysis of the Process," Center for Financial Institutions Working Papers 96-16, Wharton School Center for Financial Institutions, University of Pennsylvania.
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    More about this item

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G28 - Financial Economics - - Financial Institutions and Services - - - Government Policy and Regulation

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