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The tail mean–variance optimal portfolio selection under generalized skew-elliptical distribution

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  • Eini, Esmat Jamshidi
  • Khaloozadeh, Hamid

Abstract

In the insurance and financial markets, events of extreme losses happen in the tail of return distributions, and investors are sensitive to these losses. The Tail Mean–Variance (TMV) criterion focuses on the rare risk but large losses, and it has recently been used in financial management for portfolio selection. In this paper, the proposed TMV criterion is based on the two measures of risk, i.e., the Tail Conditional Expectation (TCE) and Tail Variance (TV) under Generalized Skew-Elliptical (GSE) distribution. We obtain an explicit solution with simple implementation and use a convex optimization approach for the TMV optimization problem under the GSE distribution. We also provide a practical example of a portfolio optimization problem using the proposed TMV criterion. The empirical results show that the optimal portfolio performance can be improved by controlling the tail variability of returns distribution.

Suggested Citation

  • Eini, Esmat Jamshidi & Khaloozadeh, Hamid, 2021. "The tail mean–variance optimal portfolio selection under generalized skew-elliptical distribution," Insurance: Mathematics and Economics, Elsevier, vol. 98(C), pages 44-50.
    • Handle: RePEc:eee:insuma:v:98:y:2021:i:c:p:44-50
    DOI: 10.1016/j.insmatheco.2021.01.007
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    Cited by:

    1. Nicola Loperfido & Tomer Shushi, 2023. "Optimal Portfolio Projections for Skew-Elliptically Distributed Portfolio Returns," Journal of Optimization Theory and Applications, Springer, vol. 199(1), pages 143-166, October.
    2. Nakamura, Kazuki, 2023. "How does a change in downside risk affect optimal demand for a risky asset?: Comparative statics on Tail Conditional Expectation," Finance Research Letters, Elsevier, vol. 58(PD).

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    More about this item

    Keywords

    Tail Conditional Expectation; Tail Variance; Tail mean–variance criterion; Optimal portfolio selection; Generalized skew-elliptical distributions;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • C46 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Specific Distributions

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