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Dependence structure of risk factors and diversification effects

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  • Chen Zou
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    Abstract

    In this paper, we study the aggregated risk from dependent risk factors under the multivariate Extreme Value theory (EVT) framework. We consider the heavy-tailness of the risk factors as well a non-parametric tail dependence structure. This allows a large scope of models on the dependency. We assess the Value-at-Risk of a diversified portfolio constructed from dependent risk factors. Moreover, we examine the diversification effects under this setup.

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    File URL: http://www.dnb.nl/binaries/Working%20Paper%20219-2009_tcm46-220795.pdf
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    Bibliographic Info

    Paper provided by Netherlands Central Bank, Research Department in its series DNB Working Papers with number 219.

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    Date of creation: Jul 2009
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    Handle: RePEc:dnb:dnbwpp:219

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    Related research

    Keywords: Aggregated risk; diversification effect; multivariate Extreme Value Theory;

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    References

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    1. Namwon Hyung & Casper G. de Vries, 2005. "Portfolio Diversification Effects of Downside Risk," Tinbergen Institute Discussion Papers 05-008/2, Tinbergen Institute.
    2. P. Hartmann & S. Straetmans & C. G. de Vries, 2004. "Asset Market Linkages in Crisis Periods," The Review of Economics and Statistics, MIT Press, vol. 86(1), pages 313-326, February.
    3. 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.
    4. Embrechts, Paul & Neslehová, Johanna & Wüthrich, Mario V., 2009. "Additivity properties for Value-at-Risk under Archimedean dependence and heavy-tailedness," Insurance: Mathematics and Economics, Elsevier, vol. 44(2), pages 164-169, April.
    5. Dennis Jansen & Casper de Vries, 1988. "On the frequency of large stock returns: putting booms and busts into perspective," Working Papers 1989-006, Federal Reserve Bank of St. Louis.
    6. Namwon Hyung, 2005. "Portfolio Diversification Effects of Downside Risk," Journal of Financial Econometrics, Society for Financial Econometrics, vol. 3(1), pages 107-125.
    7. Rustam Ibragimov & Johan Walden, 2006. "Portfolio Diversification Under Local, Moderate and Global Deviations From Power Laws," Harvard Institute of Economic Research Working Papers 2116, Harvard - Institute of Economic Research.
    8. repec:sae:ecolab:v:16:y:2006:i:2:p:1-2 is not listed on IDEAS
    9. Namwon Hyung & Casper G. de Vries, 2001. "Portfolio Diversification Effects and Regular Variation in Financial Data," Tinbergen Institute Discussion Papers 01-070/2, Tinbergen Institute.
    10. Hyung, Namwon & de Vries, Casper G., 2007. "Portfolio selection with heavy tails," Journal of Empirical Finance, Elsevier, vol. 14(3), pages 383-400, June.
    11. 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.
    12. Ibragimov, Rustam & Walden, Johan, 2008. "Portfolio diversification under local and moderate deviations from power laws," Insurance: Mathematics and Economics, Elsevier, vol. 42(2), pages 594-599, April.
    13. W. Jansen Dennis, 2001. "Limited Downside Risk In Portfolio Selection Among U.S. and Pacific Basin Equities," International Economic Journal, Taylor & Francis Journals, vol. 15(4), pages 1-39.
    14. Walden, Johan & Ibragimov, Rustam, 2008. "Portfolio Diversification under Local and Moderate Deviations from Power Laws," Scholarly Articles 2640586, Harvard University Department of Economics.
    15. Ser-Huang Poon, 2004. "Extreme Value Dependence in Financial Markets: Diagnostics, Models, and Financial Implications," Review of Financial Studies, Society for Financial Studies, vol. 17(2), pages 581-610.
    16. Susmel, Raul, 2001. "Extreme observations and diversification in Latin American emerging equity markets," Journal of International Money and Finance, Elsevier, vol. 20(7), pages 971-986, December.
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    Cited by:
    1. 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.
    2. Chollete, Loran & de la Pena , Victor & Lu, Ching-Chih, 2009. "International Diversification: An Extreme Value Approach," UiS Working Papers in Economics and Finance 2009/26, University of Stavanger.

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