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Robust multivairiate extreme value at risk allocation

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  • Belhajjam, A.
  • Belbachir, M.
  • El Ouardirhi, S.

Abstract

Recent research in economy, especially in finance, is using the assumption that the returns distribution is normal for determining optimal allocation for different models in finance optimization like Markowitz model. However this assumption is not already exact because the problem of the asymmetric distribution has a big impact. Our paper proposes a Multivariate Extreme Value at Risk (MEVaR) approach to find the optimal allocation of a portfolio based on the extreme value theory. A detailed procedure and implementation on two different portfolio (the first, for an emerging market as Morocco and the second on a Canadian portfolio of a very liquid market. Are given for demonstrating the consistency of the new approach? Results are compared with the Worst-Case-Value at Risk (WCVaR) proposed by El Ghaoui (2003), and Partitioned Value at Risk (PVaR) approach Joel Goh et al. (2011). They establish that the MEVaR performs well and is used in prediction model.

Suggested Citation

  • Belhajjam, A. & Belbachir, M. & El Ouardirhi, S., 2017. "Robust multivairiate extreme value at risk allocation," Finance Research Letters, Elsevier, vol. 23(C), pages 1-11.
    • Handle: RePEc:eee:finlet:v:23:y:2017:i:c:p:1-11
    DOI: 10.1016/j.frl.2017.07.005
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    References listed on IDEAS

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    1. Kon, Stanley J, 1984. "Models of Stock Returns-A Comparison," Journal of Finance, American Finance Association, vol. 39(1), pages 147-165, March.
    2. Danielsson, Jon & Zigrand, Jean-Pierre & Jorgensen, Bjørn N. & Sarma, Mandira & de Vries, C. G., 2006. "Consistent measures of risk," LSE Research Online Documents on Economics 24517, London School of Economics and Political Science, LSE Library.
    3. Xiongwei Ju & Neil D. Pearson, 1998. "Using Value-at-Risk to Control Risk Taking: How Wrong Can you Be?," Finance 9810002, University Library of Munich, Germany.
    4. Katerina Simons, 1996. "Value at risk: new approaches to risk management," New England Economic Review, Federal Reserve Bank of Boston, issue Sep, pages 3-13.
    5. Longin, Francois M., 2000. "From value at risk to stress testing: The extreme value approach," Journal of Banking & Finance, Elsevier, vol. 24(7), pages 1097-1130, July.
    6. Alles, Lakshman A & Kling, John L, 1994. "Regularities in the Variation of Skewness in Asset Returns," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 17(3), pages 427-438, Fall.
    7. Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, March.
    8. A. Charnes & W. W. Cooper, 1959. "Chance-Constrained Programming," Management Science, INFORMS, vol. 6(1), pages 73-79, October.
    9. Laurent El Ghaoui & Maksim Oks & Francois Oustry, 2003. "Worst-Case Value-At-Risk and Robust Portfolio Optimization: A Conic Programming Approach," Operations Research, INFORMS, vol. 51(4), pages 543-556, August.
    10. Matthew Pritsker, 1997. "Evaluating Value at Risk Methodologies: Accuracy versus Computational Time," Journal of Financial Services Research, Springer;Western Finance Association, vol. 12(2), pages 201-242, October.
    11. Philippe Artzner & Freddy Delbaen & Jean‐Marc Eber & David Heath, 1999. "Coherent Measures of Risk," Mathematical Finance, Wiley Blackwell, vol. 9(3), pages 203-228, July.
    12. Anning Wei & Raymond M. Leuthold, 1998. "Long Agricultural Futures Prices: ARCH, Long Memory, or Chaos Processes?," Finance 9805001, University Library of Munich, Germany.
    13. Lakshman A. Alles & John L. Kling, 1994. "Regularities In The Variation Of Skewness In Asset Returns," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 17(3), pages 427-438, September.
    14. Mark R. Manfredo & Raymond M. Leuthold, 1999. "Value-at-Risk Analysis: A Review and the Potential for Agricultural Applications," Review of Agricultural Economics, Agricultural and Applied Economics Association, vol. 21(1), pages 99-111.
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    Cited by:

    1. Fuentes, Fernanda & Herrera, Rodrigo & Clements, Adam, 2018. "Modeling extreme risks in commodities and commodity currencies," Pacific-Basin Finance Journal, Elsevier, vol. 51(C), pages 108-120.
    2. Panos Xidonas & Ralph Steuer & Christis Hassapis, 2020. "Robust portfolio optimization: a categorized bibliographic review," Annals of Operations Research, Springer, vol. 292(1), pages 533-552, September.
    3. Alireza Ghahtarani & Ahmed Saif & Alireza Ghasemi, 2022. "Robust portfolio selection problems: a comprehensive review," Operational Research, Springer, vol. 22(4), pages 3203-3264, September.
    4. Alireza Ghahtarani & Ahmed Saif & Alireza Ghasemi, 2021. "Robust Portfolio Selection Problems: A Comprehensive Review," Papers 2103.13806, arXiv.org, revised Jan 2022.

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