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Downside Risk And Kappa Index Of Non-Gaussian Portfolio With Lpm

Author

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  • Jules Sadefo Kamdem

    () (LAMETA - Laboratoire Montpelliérain d'Économie Théorique et Appliquée - UM1 - Université Montpellier 1 - UM3 - Université Paul-Valéry - Montpellier 3 - Montpellier SupAgro - Centre international d'études supérieures en sciences agronomiques - INRA Montpellier - Institut national de la recherche agronomique [Montpellier] - UM - Université de Montpellier - CNRS - Centre National de la Recherche Scientifique - Montpellier SupAgro - Institut national d’études supérieures agronomiques de Montpellier)

Abstract

In this paper, we nd analytic expressions of the lower partial moment and kappa index of linear portfolios when the returns are elliptically distributed. We also introduced the notion of Target Semi-Kurtosis of portfolio return and discuss the robust optimization Mean-LPM problem with non-gaussian risk factors. Special attention is given to the particular case of a mixture of multivariate t-distributions.

Suggested Citation

  • Jules Sadefo Kamdem, 2011. "Downside Risk And Kappa Index Of Non-Gaussian Portfolio With Lpm," Working Papers hal-00733043, HAL.
  • Handle: RePEc:hal:wpaper:hal-00733043
    Note: View the original document on HAL open archive server: https://hal.archives-ouvertes.fr/hal-00733043
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    References listed on IDEAS

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    1. Unser, Matthias, 2000. "Lower partial moments as measures of perceived risk: An experimental study," Journal of Economic Psychology, Elsevier, vol. 21(3), pages 253-280, June.
    2. Breitmeyer, Carsten & Hakenes, Hendrik & Pfingsten, Andreas, 2004. "From poverty measurement to the measurement of downside risk," Mathematical Social Sciences, Elsevier, vol. 47(3), pages 327-348, May.
    3. repec:wsi:ijtafx:v:08:y:2005:i:05:n:s0219024905003104 is not listed on IDEAS
    4. Engle, Robert F & Sheppard, Kevin K, 2001. "Theoretical and Empirical Properties of Dynamic Conditional Correlation Multivariate GARCH," University of California at San Diego, Economics Working Paper Series qt5s2218dp, Department of Economics, UC San Diego.
    5. Bawa, Vijay S., 1975. "Optimal rules for ordering uncertain prospects," Journal of Financial Economics, Elsevier, vol. 2(1), pages 95-121, March.
    6. Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, March.
    7. Roy van der Weide, 2002. "GO-GARCH: a multivariate generalized orthogonal GARCH model," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 17(5), pages 549-564.
    8. Bawa, Vijay S., 1978. "Safety-First, Stochastic Dominance, and Optimal Portfolio Choice," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 13(02), pages 255-271, June.
    9. Bawa, Vijay S. & Lindenberg, Eric B., 1977. "Capital market equilibrium in a mean-lower partial moment framework," Journal of Financial Economics, Elsevier, vol. 5(2), pages 189-200, November.
    10. Rockafellar, R. Tyrrell & Uryasev, Stanislav, 2002. "Conditional value-at-risk for general loss distributions," Journal of Banking & Finance, Elsevier, vol. 26(7), pages 1443-1471, July.
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