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Sensitivity Analysis of Values at Risk

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Author Info

  • Gouriéroux, Christian

    (CREST; CEPREMAP)

  • Laurent, J.P.

    (Université de Lyon I, ISFA; CREST)

  • Scaillet, Olivier

    (UNIVERSITE CATHOLIQUE DE LOUVAIN, Institut de Recherches Economiques et Sociales (IRES); UNIVERSITE CATHOLIQUE DE LOUVAIN, Institut d’Administration et de Gestion (IAG))

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 an portfolio of French stocks.

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File URL: http://sites.uclouvain.be/econ/DP/IRES/2000-002.pdf
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Bibliographic Info

Paper provided by Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES) in its series Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) with number 2000002.

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Length: 27
Date of creation: 01 Jun 1999
Date of revision: 00 Jan 2000
Handle: RePEc:ctl:louvir:2000002

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Related research

Keywords: Value at Risk; risk management; VaR efficient portfolio; iso VaR; kernel estimators; quantile;

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References

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  1. Kenneth A. Froot & Jeremy C. Stein, 1996. "Risk Management, Capital Budgeting and Capital Structure Policy for Financial Institutions: An Integrated Approach," Center for Financial Institutions Working Papers 96-28, Wharton School Center for Financial Institutions, University of Pennsylvania.
  2. 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.
  3. Jansen, Dennis W. & Koedijk, Kees G. & de Vries, Casper G., 2000. "Portfolio selection with limited downside risk," Journal of Empirical Finance, Elsevier, vol. 7(3-4), pages 247-269, November.
  4. Levy, Haim & Sarnat, Marshall, 1972. "Safety First — An Expected Utility Principle," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 7(03), pages 1829-1834, June.
  5. Gourieroux, Christian & Jasiak, Joanna, 1999. "Nonlinear innovations and impulse responses," CEPREMAP Working Papers (Couverture Orange) 9906, CEPREMAP.
  6. Föllmer, Hans & Leukert, Peter, 1998. "Quantile hedging," SFB 373 Discussion Papers 1998,13, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
  7. repec:wop:humbsf:1998-13 is not listed on IDEAS
  8. Christian Gollier & Pierre-François Koehl & Jean-Charles Rochet, 1996. "Risk-Taking Behavior with Limited Liability and Risk Aversion," Center for Financial Institutions Working Papers 96-13, Wharton School Center for Financial Institutions, University of Pennsylvania.
  9. Arzac, Enrique R. & Bawa, Vijay S., 1977. "Portfolio choice and equilibrium in capital markets with safety-first investors," Journal of Financial Economics, Elsevier, vol. 4(3), pages 277-288, May.
  10. Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, 03.
  11. Ralph C. Kimball, 1997. "Innovations in performance measurement in banking," New England Economic Review, Federal Reserve Bank of Boston, issue May, pages 23-38.
  12. Stoughton, Neal & Zechner, Josef, 1999. "Optimal Capital Allocation Using RAROC And EVA," CEPR Discussion Papers 2344, C.E.P.R. Discussion Papers.
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