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Sensitivity Analysis of Values at Risk

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Author Info
GouriŽroux, Christian (CREST; CEPREMAP)
Laurent, J.P. (UniversitŽ de Lyon I, ISFA; CREST)
Scaillet, Olivier (UNIVERSITE CATHOLIQUE DE LOUVAIN, Institut de Recherches Economiques et Sociales (IRES); UNIVERSITE CATHOLIQUE DE LOUVAIN, Institut dÕAdministration et de Gestion (IAG))

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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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Publisher 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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Find related papers by JEL classification:
C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Semiparametric and Nonparametric Methods
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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References listed on IDEAS
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. 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. [Downloadable!]
  2. Christian Gollier & Pierre-François Koehl & Jean-CharlesRochet, 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. [Downloadable!]
  3. Stoughton, Neal & Zechner, Josef, 1999. "Optimal Capital Allocation Using RAROC And EVA," CEPR Discussion Papers 2344, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
Full references

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. Albrecht, Peter, 2003. "Risk Based Capital Allocation," Sonderforschungsbereich 504 Publications 03-02, Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim. [Downloadable!]
  2. Rombouts, J.V.K. & Verbeek, M.J.C.M., 2009. "Evaluating Portfolio Value-At-Risk Using Semi-Parametric GARCH Models," Research Paper ERS-2004-107-F&A Revision, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus Uni. [Downloadable!]
    Other versions:
  3. Panayiotis Diamandis & Georgios Kouretas & Leonidas Zarangas, 2006. "Asset allocation in the Athens Stock Exchange: A variance sensitivity analysis," Working Papers 0602, University of Crete, Department of Economics. [Downloadable!]
  4. Susanne Emmer & Dirk Tasche, 2003. "Calculating credit risk capital charges with the one-factor model," Quantitative Finance Papers cond-mat/0302402, arXiv.org, revised Jan 2005. [Downloadable!]
  5. Keel, Simon & Ardia, David, 2009. "Generalized Marginal Risk," MPRA Paper 17258, University Library of Munich, Germany. [Downloadable!]
  6. Solange M. Berstein & Rómulo A. Chumacero, 2003. "Quantifying the Costs of Investment Limits for Chilean Pension Funds," Working Papers Central Bank of Chile 248, Central Bank of Chile. [Downloadable!]
    Other versions:
  7. Torben G. Andersen & Tim Bollerslev & Francis X. Diebold & Paul Labys, 2001. "Modeling and Forecasting Realized Volatility," NBER Working Papers 8160, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  8. Simone Manganelli & Vladimiro Ceci & Walter Vecchiato, 2002. "Sensitivity analysis of volatility - a new tool for risk management," Working Paper Series 194, European Central Bank. [Downloadable!]
  9. Michael B. Gordy, 2002. "A risk-factor model foundation for ratings-based bank capital rules," Finance and Economics Discussion Series 2002-55, Board of Governors of the Federal Reserve System (U.S.). [Downloadable!]
  10. Jeroen Rombouts & E.W. Rengifo, 2004. "Dynamic Optimal Portfolio Selection in a VaR Framework," Cahiers de recherche 04-05, HEC Montréal, Institut d'économie appliquée. [Downloadable!]
    Other versions:
  11. Paul Doukhan & Jean-David Fermanian & Gabriel Lang, 2009. "An empirical central limit theorem with applications to copulas under weak dependence," Statistical Inference for Stochastic Processes, Springer, vol. 12(1), pages 65-87, February. [Downloadable!] (restricted)
  12. Boudt, Kris & Peterson, Brian & Croux, Christophe, 2007. "Estimation and decomposition of downside risk for portfolios with non-normal returns," MPRA Paper 5427, University Library of Munich, Germany, revised 23 Oct 2007. [Downloadable!]
  13. Klaus Düllmann & Nancy Masschelein, 2006. "Sector Concentration in Loan Portfolios and Economic Capital," Research series 200611-17, National Bank of Belgium. [Downloadable!]
  14. Michael B. Gordy & Sandeep Juneja, 2008. "Nested simulation in portfolio risk measurement," Finance and Economics Discussion Series 2008-21, Board of Governors of the Federal Reserve System (U.S.). [Downloadable!]
  15. Masschelein, Nancy & Düllmann, Klaus, 2006. "Sector concentration in loan portfolios and economic capital," Discussion Paper Series 2: Banking and Financial Studies 2006,09, Deutsche Bundesbank, Research Centre. [Downloadable!]
  16. Klaus Düllmann & Nancy Masschelein, 2007. "A Tractable Model to Measure Sector Concentration Risk in Credit Portfolios," Journal of Financial Services Research, Springer, vol. 32(1), pages 55-79, October. [Downloadable!] (restricted)
  17. Tapiero, Charles, 2003. "Risk Management: An Interdisciplinary Framework," ESSEC Working Papers DR 03014, ESSEC Research Center, ESSEC Business School. [Downloadable!]
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