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Value-at-Risk and expected shortfall for linear portfolios with elliptically distributed risk factors

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Jules Sadefo Kamdem

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Abstract

In this paper, we generalize the parametric delta-VaR method from portfolios with normally distributed risk factors to portfolios with elliptically distributed ones. We treat both the expected shortfall and the Value-at-Risk of such portfolios. Special attention is given to the particular case of a multivariate t-distribution.

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File URL: http://arxiv.org/abs/math/0309211
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Paper provided by arXiv.org in its series Quantitative Finance Papers with number math/0309211.

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Date of creation: Sep 2003
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Handle: RePEc:arx:papers:math/0309211

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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. Jun Pan & Darrell Duffie, 2001. "Analytical value-at-risk with jumps and credit risk," Finance and Stochastics, Springer, vol. 5(2), pages 155-180. [Downloadable!] (restricted)
  2. Jose A. Lopez & Christian A. Walter, 2000. "Evaluating covariance matrix forecasts in a value-at-risk framework," Working Papers in Applied Economic Theory 2000-21, Federal Reserve Bank of San Francisco. [Downloadable!]
  3. R. Brummelhuis & A. Cãrdoba & M. Quintanilla & L. Seco, 2002. "Principal Component Value at Risk," Mathematical Finance, Blackwell Publishing, vol. 12(1), pages 23-43. [Downloadable!] (restricted)
  4. Jules SADEFO KAMDEM, 2004. "Value-at-Risk and Expected Shortfall for Quadratic Portfolio of Securities with Mixture of Elliptic Distribution Risk Factors," Computing in Economics and Finance 2004 12, Society for Computational Economics.
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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. SADEFO KAMDEM Jules, 2004. "VaR and ES for linear Portfolis with mixture of elliptically distributed Risk Factors," GE, Growth, Math methods 0403003, EconWPA. [Downloadable!]
  2. SADEFO KAMDEM Jules, 2004. "VaR and ES for Linear Portfolios with mixture of Generalized Laplace Distributed Risk Factors," Risk and Insurance 0406001, EconWPA. [Downloadable!]
  3. Raymond BRUMMELHUIS & Jules Sadefo-Kamdem, 2009. "Var For Quadratic Portfolio'S With Generalized Laplace Distributed Returns," Working Papers 09-06, LAMETA, Universtiy of Montpellier, revised Jun 2009. [Downloadable!]
  4. SADEFO KAMDEM Jules, 2004. "VaR and ES for linear Portfolios with mixture of elliptically distributed Risk Factors," GE, Growth, Math methods 0403004, EconWPA. [Downloadable!]
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