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Downside Risk for European Equity Markets

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  • Cotter, John

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 one moves to lower quantile and probability estimates.

Suggested Citation

  • Cotter, John, 2004. "Downside Risk for European Equity Markets," MPRA Paper 3537, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:3537
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    References listed on IDEAS

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    1. Francis X. Diebold & Til Schuermann & John D. Stroughair, 1998. "Pitfalls and Opportunities in the Use of Extreme Value Theory in Risk Management," Center for Financial Institutions Working Papers 98-10, Wharton School Center for Financial Institutions, University of Pennsylvania.
    2. 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.
    3. Jón Daníelsson & Casper G. de Vries, 1998. "Beyond the Sample: Extreme Quantile and Probability Estimation," Tinbergen Institute Discussion Papers 98-016/2, Tinbergen Institute.
    4. 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.
    5. 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.
    6. 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.
    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.
    8. 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.
    9. Cotter, John, 2001. "Margin exceedences for European stock index futures using extreme value theory," Journal of Banking & Finance, Elsevier, vol. 25(8), pages 1475-1502, August.
    10. Philippe Artzner & Freddy Delbaen & Jean-Marc Eber & David Heath, 1999. "Coherent Measures of Risk," Mathematical Finance, Wiley Blackwell, vol. 9(3), pages 203-228.
    11. Liam Gallagher, 1999. "A multi-country analysis of the temporary and permanent components of stock prices," Applied Financial Economics, Taylor & Francis Journals, vol. 9(2), pages 129-142.
    12. 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.
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    Citations

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    Cited by:

    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.
    2. Saša ŽIKOVIÆ & Randall K. FILER, 2013. "Ranking of VaR and ES Models: Performance in Developed and Emerging Markets," Czech Journal of Economics and Finance (Finance a uver), Charles University Prague, Faculty of Social Sciences, vol. 63(4), pages 327-359, August.
    3. Marco Rocco, 2011. "Extreme value theory for finance: a survey," Questioni di Economia e Finanza (Occasional Papers) 99, Bank of Italy, Economic Research and International Relations Area.
    4. Sarafrazi, Soodabeh & Hammoudeh, Shawkat & AraújoSantos, Paulo, 2014. "Downside risk, portfolio diversification and the financial crisis in the euro-zone," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 32(C), pages 368-396.
    5. Sasa Zikovic & Randall Filer, 2009. "Hybrid Historical Simulation VaR and ES: Performance in Developed and Emerging Markets," CESifo Working Paper Series 2820, CESifo Group Munich.
    6. Chen-Yu Chen & Jian-Hsin Chou & Hung-Gay Fung & Yiuman Tse, 2017. "Setting the futures margin with price limits: the case for single-stock futures," Review of Quantitative Finance and Accounting, Springer, vol. 48(1), pages 219-237, January.
    7. Cotter, John, 2004. "Modelling extreme financial returns of global equity markets," MPRA Paper 3532, University Library of Munich, Germany.
    8. Liu, Tengdong & Hammoudeh, Shawkat & Santos, Paulo Araújo, 2014. "Downside risk and portfolio diversification in the euro-zone equity markets with special consideration of the crisis period," Journal of International Money and Finance, Elsevier, vol. 44(C), pages 47-68.
    9. John Cotter, 2005. "Extreme risk in futures contracts," Applied Economics Letters, Taylor & Francis Journals, vol. 12(8), pages 489-492.
    10. Julija Cerović & Vesna Karadžić, 2015. "Extreme Value Theory In Emerging Markets: Evidence From Montenegrin Stock Exchange," Economic Annals, Faculty of Economics, University of Belgrade, vol. 60(206), pages 87-116, July - Se.

    More about this item

    JEL classification:

    • G15 - Financial Economics - - General Financial Markets - - - International Financial Markets
    • G1 - Financial Economics - - General Financial Markets

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