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Sensitivity Analysis of Values at Risk

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Author Info
Christian Gourieroux (CREST and CEPREMAP)
J. P. Laurent (Universite de Lyon I and CREST)
Olivier Scaillet (Universite Catholique de Louvain)

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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 a portfolio of French stocks.

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Publisher Info
Paper provided by Econometric Society in its series Econometric Society World Congress 2000 Contributed Papers with number 0162.

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Date of creation: 01 Aug 2000
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Handle: RePEc:ecm:wc2000:0162

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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. 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!]
  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. [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)
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(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. Marno Verbeek & Jeroen VK Rombouts, 2005. "Evaluating Portfolio Value-at-Risk using Semi-Parametric GARCH Models," Computing in Economics and Finance 2005 40, Society for Computational Economics. [Downloadable!]
    Other versions:
  2. Tapiero, Charles, 2003. "Risk Management: An Interdisciplinary Framework," ESSEC Working Papers DR 03014, ESSEC Research Center, ESSEC Business School. [Downloadable!]
  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. Albrecht, Peter, 2003. "Risk Based Capital Allocation," Sonderforschungsbereich 504 Publications 03-02, Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim. [Downloadable!]
  5. Keel, Simon & Ardia, David, 2009. "Generalized Marginal Risk," MPRA Paper 17258, University Library of Munich, Germany. [Downloadable!]
  6. 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:
  7. 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!]
  8. 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:
  9. 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!]
  10. 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:
  11. 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!]
  12. 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)
  13. 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!]
  14. 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)
  15. Klaus Düllmann & Nancy Masschelein, 2006. "Sector Concentration in Loan Portfolios and Economic Capital," Research series 200611-17, National Bank of Belgium. [Downloadable!]
  16. 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!]
  17. 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!]
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