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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, 2005. "Portfolio Diversification Effects of Downside Risk," Journal of Financial Econometrics, Society for Financial Econometrics, vol. 3(1), pages 107-125.
    2. 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.
    3. Hartmann, Philipp & Straetmans, Stefan & de Vries, Casper, 2001. "Asset market linkages in crisis periods," Working Paper Series 0071, European Central Bank.
    4. 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.
    5. 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.
    6. Walden, Johan & Ibragimov, Rustam, 2008. "Portfolio Diversification under Local and Moderate Deviations from Power Laws," Scholarly Articles 2640586, Harvard University Department of Economics.
    7. 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.
    8. Namwon Hyung & Casper G. de Vries, 2005. "Portfolio Diversification Effects of Downside Risk," Tinbergen Institute Discussion Papers 05-008/2, Tinbergen Institute.
    9. 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.
    10. 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.
    11. Jansen, Dennis W & de Vries, Casper G, 1991. "On the Frequency of Large Stock Returns: Putting Booms and Busts into Perspective," The Review of Economics and Statistics, MIT Press, vol. 73(1), pages 18-24, February.
    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. 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.
    14. 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.
    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.
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    Cited by:
    1. 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.
    2. 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.

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