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Downside risk for European equity markets

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Author Info
John Cotter

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Abstract

This paper applies extreme value theory to measure downside risk for European equity markets. Two related measures, value at risk and the excess loss probability estimator provide a coherent approach to optimally protect investor wealth opportunities for low quantile and probability combinations. The fat-tailed characteristic of equity index returns is captured by explicitly modelling tail returns only. The paper finds the DAX100 is the most volatile index, and this generally becomes more pronounced as a move is made to lower quantile and probability estimates.

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Publisher Info
Article provided by Taylor and Francis Journals in its journal Applied Financial Economics.

Volume (Year): 14 (2004)
Issue (Month): 10 (June)
Pages: 707-716
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Handle: RePEc:taf:apfiec:v:14:y:2004:i:10:p:707-716

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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. Phillip Kearns & Adrian Pagan, 1997. "Estimating The Density Tail Index For Financial Time Series," The Review of Economics and Statistics, MIT Press, vol. 79(2), pages 171-175, May. [Downloadable!] (restricted)
  2. Francis X. Diebold & Til Schuermann & John D. Stroughair, 1998. "Pitfalls and Opportunities in the Use of Extreme Value Theory in Risk Management," New York University, Leonard N. Stern School Finance Department Working Paper Seires 98-081, New York University, Leonard N. Stern School of Business-.
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  3. Gallagher, Liam A, 1999. "A Multi-country Analysis of the Temporary and Permanent Components of Stock Prices," Applied Financial Economics, Taylor and Francis Journals, vol. 9(2), pages 129-42, April. [Downloadable!] (restricted)
  4. Subu Venkataraman, 1997. "Value at risk for a mixture of normal distributions: the use of quasi- Bayesian estimation techniques," Economic Perspectives, Federal Reserve Bank of Chicago, issue Mar, pages 2-13. [Downloadable!]
  5. Poon, Ser-Huang & Taylor, Stephen J., 1992. "Stock returns and volatility: An empirical study of the UK stock market," Journal of Banking & Finance, Elsevier, vol. 16(1), pages 37-59, February. [Downloadable!] (restricted)
  6. Ghose, Devajyoti & Kroner, Kenneth F., 1995. "The relationship between GARCH and symmetric stable processes: Finding the source of fat tails in financial data," Journal of Empirical Finance, Elsevier, vol. 2(3), pages 225-251, September. [Downloadable!] (restricted)
  7. 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. [Downloadable!] (restricted)
  8. Cotter, John, 2000. "Margin Exceedences for European Stock Index Futures using Extreme Value Theory," MPRA Paper 3534, University Library of Munich, Germany, revised 2001. [Downloadable!]
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  9. Jón Daníelsson & Casper G. de Vries, 1998. "Value-at-Risk and Extreme Returns," Tinbergen Institute Discussion Papers 98-017/2, Tinbergen Institute. [Downloadable!]
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  10. Vries, Caspar de & Danielsson, Jon, 1996. "Tail Index and Quantile Estimation with Very High Frequency Data," CESifo Working Paper Series CESifo Working Paper No. , CESifo Group Munich.
  11. Koedijk, Kees G & Kool, Clemens J M, 1992. "Tail Estimates of East European Exchange Rates," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(1), pages 83-96, January.
  12. 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. [Downloadable!] (restricted)
  13. Jon Danielsson & Casper G. de Vries, 1998. "Beyond the Sample: Extreme Quantile and Probability Estimation," FMG Discussion Papers dp298, Financial Markets Group. [Downloadable!] (restricted)
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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. John Cotter, 2006. "Modelling catastrophic risk in international equity markets: an extreme value approach," Applied Financial Economics Letters, Taylor and Francis Journals, vol. 2(1), pages 13-17, January. [Downloadable!] (restricted)
    Other versions:
  2. John Cotter, 2005. "Extreme risk in futures contracts," Applied Economics Letters, Taylor and Francis Journals, vol. 12(8), pages 489-492, June. [Downloadable!] (restricted)
  3. Cotter, John, 2004. "Modelling extreme financial returns of global equity markets," MPRA Paper 3532, University Library of Munich, Germany. [Downloadable!]
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