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Controlling portfolio skewness and kurtosis without directly optimizing third and fourth moments

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  • Kim, Woo Chang
  • Fabozzi, Frank J.
  • Cheridito, Patrick
  • Fox, Charles

Abstract

In spite of their importance, third or higher moments of portfolio returns are often neglected in portfolio construction problems due to the computational difficulties associated with them. In this paper, we propose a new robust mean–variance approach that can control portfolio skewness and kurtosis without imposing higher moment terms. The key idea is that, if the uncertainty sets are properly constructed, robust portfolios based on the worst-case approach within the mean–variance setting favor skewness and penalize kurtosis.

Suggested Citation

  • Kim, Woo Chang & Fabozzi, Frank J. & Cheridito, Patrick & Fox, Charles, 2014. "Controlling portfolio skewness and kurtosis without directly optimizing third and fourth moments," Economics Letters, Elsevier, vol. 122(2), pages 154-158.
    • Handle: RePEc:eee:ecolet:v:122:y:2014:i:2:p:154-158
    DOI: 10.1016/j.econlet.2013.11.024
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    References listed on IDEAS

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    Cited by:

    1. Douadia Bougherara & Laurent Piet, 2018. "On the role of probability weighting on WTP for crop insurance with and without yield skewness," Working Papers hal-02790605, HAL.
    2. Marie-Hélène Broihanne & Maxime Merli & Patrick Roger, 2016. "Diversification, gambling and market forces," Review of Quantitative Finance and Accounting, Springer, vol. 47(1), pages 129-157, July.
    3. Wei-Bin Zhang, 2017. "Discrimination and Inequality in an Integrated Walrasian-General-Equilibrium and Neoclassical-Growth Theory," Asian Journal of Economic Modelling, Asian Economic and Social Society, vol. 5(1), pages 57-76, March.
    4. Valeria V. Lakshina, 2019. "Do Portfolio Investors Need To Consider The Asymmetry Of Returns On The Russian Stock Market?," HSE Working papers WP BRP 75/FE/2019, National Research University Higher School of Economics.
    5. Lassance, Nathan & Vrins, Frédéric, 2023. "Portfolio selection: A target-distribution approach," European Journal of Operational Research, Elsevier, vol. 310(1), pages 302-314.
    6. Lakshina, Valeriya, 2020. "Do portfolio investors need to consider the asymmetry of returns on the Russian stock market?," The Journal of Economic Asymmetries, Elsevier, vol. 21(C).
    7. Nekhili, Ramzi & Bouri, Elie, 2023. "Higher-order moments and co-moments' contribution to spillover analysis and portfolio risk management," Energy Economics, Elsevier, vol. 119(C).
    8. Deng Xiong & Liu Yanli, 2018. "A High-Moment Trapezoidal Fuzzy Random Portfolio Model with Background Risk," Journal of Systems Science and Information, De Gruyter, vol. 6(1), pages 1-28, February.
    9. Khashanah, Khaldoun & Simaan, Majeed & Simaan, Yusif, 2022. "Do we need higher-order comoments to enhance mean-variance portfolios? Evidence from a simplified jump process," International Review of Financial Analysis, Elsevier, vol. 81(C).
    10. Ñíguez, Trino-Manuel & Paya, Ivan & Peel, David, 2016. "Pure higher-order effects in the portfolio choice model," Finance Research Letters, Elsevier, vol. 19(C), pages 255-260.
    11. Pavlo Dziuba & Olena Pryiatelchuk & Denys Rusak, 2021. "Equity Markets Risks And Returns: Implications For Global Portfolio Capital Flows During Pandemic And Crisis Periods," Baltic Journal of Economic Studies, Publishing house "Baltija Publishing", vol. 7(3).
    12. Linda Chamakh & Zolt'an Szab'o, 2021. "Kernel Minimum Divergence Portfolios," Papers 2110.09516, arXiv.org.
    13. Chamakh, Linda & Szabo, Zoltan, 2021. "Kernel minimum divergence portfolios," LSE Research Online Documents on Economics 115723, London School of Economics and Political Science, LSE Library.
    14. Bouri, Elie, 2023. "Spillovers in the joint system of conditional higher-order moments: US evidence from green energy, brown energy, and technology stocks," Renewable Energy, Elsevier, vol. 210(C), pages 507-523.
    15. Adler Haymans MANURUNG & Fadh Fauzi HIBATULLAH & Jadongan SIJABAT, 2023. "Stock Selection Using Roy Criteria to Construct a Portfolio and the Effects of Variables on Portfolio Return," Journal of Finance and Investment Analysis, SCIENPRESS Ltd, vol. 12(3), pages 1-2.

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    More about this item

    Keywords

    Portfolio selection; Robust portfolio; Higher moments; Mean–variance framework;
    All these keywords.

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • C65 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Miscellaneous Mathematical Tools

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