Sensitivity Analysis of Values at Risk

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Sensitivity Analysis of Values at Risk

Author Info

Gourieroux, C.
Laurent, J.P.
Scaillet, O.

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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 expresssions 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 loval 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 Institut National de la Statistique et des Etudes Economiques- in its series Papers with number 2000-05.

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Length: 32 pages
Date of creation: 2000
Date of revision:
Handle: RePEc:fth:inseep:2000-05

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Article
- Gourieroux, C. & Laurent, J. P. & Scaillet, O., 2000. "Sensitivity analysis of Values at Risk," Journal of Empirical Finance, Elsevier, vol. 7(3-4), pages 225-245, November. [Downloadable!] (restricted)
Paper
- Christian Gourieroux & J. P. Laurent & Olivier Scaillet, 2000. "Sensitivity Analysis of Values at Risk," Econometric Society World Congress 2000 Contributed Papers 0162, Econometric Society. [Downloadable!]
- Gouriéroux, Christian & Laurent, J.P. & Scaillet, Olivier, 1999. "Sensitivity Analysis of Values at Risk," UniversitÃ© catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES) Discussion Paper 2000002, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES), revised 00 Jan 2000. [Downloadable!]
- C. Gourieroux & J.P. Laurent & O. Scaillet, 2000. "Sensitivity analysis of values at risk," THEMA Working Papers 2000-04, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.

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

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.:

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!]
Other versions:
- Gollier, C. & Koehl, P.F. & Rochet, J.C., 1995. "Risk-Taking Behavior with Limited Liability and Risk Aversion," Papers 9560, Institut National de la Statistique et des Etudes Economiques-.
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!]
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.)

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:
- Jeroen V.K. Rombouts & Marno Verbeek, 2004. "Evaluating Portfolio Value-at-Risk using Semi-Parametric GARCH Models," Cahiers de recherche 04-14, HEC Montréal, Institut d'économie appliquée. [Downloadable!]
- Rombouts, J.V.K. & Verbeek, M.J.C.M, 2004. "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!]
Tapiero, Charles, 2003. "Risk Management: An Interdisciplinary Framework," ESSEC Working Papers DR 03014, ESSEC Research Center, ESSEC Business School. [Downloadable!]
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!]
Namwon Hyung & Casper G. de Vries, 2005. "Portfolio Diversification Effects of Downside Risk," Tinbergen Institute Discussion Papers 05-008/2, Tinbergen Institute. [Downloadable!]
Albrecht, Peter, 2003. "Risk Based Capital Allocation," Sonderforschungsbereich 504 Publications 03-02, Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim. [Downloadable!]
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:
- Torben G. Andersen & Tim Bollerslev & Francis X. Diebold & Paul Labys, 2001. "Modeling and Forecasting Realized Volatility," Center for Financial Institutions Working Papers 01-01, Wharton School Center for Financial Institutions, University of Pennsylvania. [Downloadable!]
- Anderson, Torben G. & Bollerslev, Tim & Diebold, Francis X. & Labys, Paul, 2002. "Modeling and Forecasting Realized Volatility," Working Papers 02-12, Duke University, Department of Economics. [Downloadable!]
- Torben G. Andersen & Tim Bollerslev & Francis X. Diebold & Paul Labys, 2003. "Modeling and Forecasting Realized Volatility," Econometrica, Econometric Society, vol. 71(2), pages 579-625, March. [Downloadable!] (restricted)
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!]
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!]
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:
- Solange M. Berstein & Rómulo A. Chumacero, 2006. "Quantifying the costs of investment limits for Chilean pension funds," Fiscal Studies, Institute for Fiscal Studies, vol. 27(1), pages 99-123, March.
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!]
Namwon Hyung & Casper G. de Vries, 2005. "Portfolio Selection with Heavy Tails," Tinbergen Institute Discussion Papers 05-009/2, Tinbergen Institute, revised 04 Oct 2006. [Downloadable!]
Other versions:
- Hyung, Namwon & de Vries, Casper G., 2007. "Portfolio selection with heavy tails," Journal of Empirical Finance, Elsevier, vol. 14(3), pages 383-400, June. [Downloadable!] (restricted)
repec:hal:papers:hal-00165641_v1 is not listed on IDEAS
Düllmann, Klaus & Masschelein, Nancy, 2006. "Sector concentration in loan portfolios and economic capital," Discussion Paper Series 2: Banking and Financial Studies 2006,09, Deutsche Bundesbank, Research Centre. [Downloadable!]
Klaus Düllmann & Nancy Masschelein, 2006. "Sector Concentration in Loan Portfolios and Economic Capital," Research series 200611-17, National Bank of Belgium. [Downloadable!]
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!]
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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