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Portfolio performance evaluation with loss aversion

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  • Valeri Zakamouline

Abstract

In this paper we consider a loss-averse investor equipped with a specific, but still quite general, utility function motivated by behavioral finance. We show that, under certain concrete assumptions concerning the form of this utility, one can derive closed-form solutions for the investor's portfolio performance measure. We investigate the effects of loss aversion and demonstrate its important role in performance measurement. The framework presented in this paper also provides a sound theoretical foundation for all known performance measures based on partial moments of the distribution.

Suggested Citation

  • Valeri Zakamouline, 2014. "Portfolio performance evaluation with loss aversion," Quantitative Finance, Taylor & Francis Journals, vol. 14(4), pages 699-710, April.
    • Handle: RePEc:taf:quantf:v:14:y:2014:i:4:p:699-710
    DOI: 10.1080/14697688.2011.620978
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    1. Holthausen, Duncan M, 1981. "A Risk-Return Model with Risk and Return Measured as Deviations from a Target Return," American Economic Review, American Economic Association, vol. 71(1), pages 182-188, March.
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    4. Chris Starmer, 2000. "Developments in Non-expected Utility Theory: The Hunt for a Descriptive Theory of Choice under Risk," Journal of Economic Literature, American Economic Association, vol. 38(2), pages 332-382, June.
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    Cited by:

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    2. Dipankar Mondal & N. Selvaraju, 2022. "Convexity, two-fund separation and asset ranking in a mean-LPM portfolio selection framework," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 44(1), pages 225-248, March.
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    5. Zhao, Shengli, 2024. "Objective acceptability indexes," International Review of Financial Analysis, Elsevier, vol. 95(PC).
    6. Carole Bernard & Massimiliano Caporin & Bertrand Maillet & Xiang Zhang, 2023. "Omega Compatibility: A Meta-analysis," Computational Economics, Springer;Society for Computational Economics, vol. 62(2), pages 493-526, August.
    7. Sergio Ortobelli Lozza & Enrico Angelelli & Alda Ndoci, 2019. "Timing portfolio strategies with exponential Lévy processes," Computational Management Science, Springer, vol. 16(1), pages 97-127, February.
    8. Tawil, Dima, 2018. "Risk-adjusted performance of portfolio insurance and investors’ preferences," Finance Research Letters, Elsevier, vol. 24(C), pages 10-18.
    9. León, Angel & Moreno, Manuel, 2017. "One-sided performance measures under Gram-Charlier distributions," Journal of Banking & Finance, Elsevier, vol. 74(C), pages 38-50.
    10. Zhang, Hanxiong & Auer, Benjamin R. & Vortelinos, Dimitrios I., 2018. "Performance ranking (dis)similarities in commodity markets," Global Finance Journal, Elsevier, vol. 35(C), pages 115-137.
    11. Curatola, Giuliano, 2017. "Optimal portfolio choice with loss aversion over consumption," The Quarterly Review of Economics and Finance, Elsevier, vol. 66(C), pages 345-358.
    12. Righi, Marcelo Brutti, 2024. "Star-shaped acceptability indexes," Insurance: Mathematics and Economics, Elsevier, vol. 117(C), pages 170-181.
    13. Abdallah Ben Saida & Jean-luc Prigent, 2018. "On the robustness of portfolio allocation under copula misspecification," Annals of Operations Research, Springer, vol. 262(2), pages 631-652, March.
    14. Bi, Hongwei & Huang, Rachel J. & Tzeng, Larry Y. & Zhu, Wei, 2019. "Higher-order Omega: A performance index with a decision-theoretic foundation," Journal of Banking & Finance, Elsevier, vol. 100(C), pages 43-57.
    15. Bertrand, Philippe & Prigent, Jean-luc, 2019. "On the optimality of path-dependent structured funds: The cost of standardization," European Journal of Operational Research, Elsevier, vol. 277(1), pages 333-350.
    16. Joshua Huang & Teresa Serra & Philip Garcia, 2021. "The Value of USDA Announcements in the Electronically Traded Corn Futures Market: A Modified Sufficient Test with Risk Adjustments," Journal of Agricultural Economics, Wiley Blackwell, vol. 72(3), pages 712-734, September.
    17. Bernard, Carole & Vanduffel, Steven & Ye, Jiang, 2019. "Optimal strategies under Omega ratio," European Journal of Operational Research, Elsevier, vol. 275(2), pages 755-767.
    18. Andrea C. Hupman & Jay Simon, 2023. "The Legacy of Peter Fishburn: Foundational Work and Lasting Impact," Decision Analysis, INFORMS, vol. 20(1), pages 1-15, March.
    19. Curatola, Giuliano, 2016. "Optimal consumption and portfolio choice with loss aversion," SAFE Working Paper Series 130, Leibniz Institute for Financial Research SAFE.
    20. Jules Sadefo Kamdem, 2023. "Risk-Adjusted Performance And Semi-Moments Of Non-Gaussian Portfolio Returns Distributions," Working Papers hal-04134833, HAL.
    21. Massimiliano Caporin & Luca Corazzini & Michele Costola, 2014. "Measuring the Behavioral Component of Financial Fluctuations: An Analysis Based on the S&P 500," CREATES Research Papers 2014-33, Department of Economics and Business Economics, Aarhus University.
    22. Obrimah, Oghenovo A., 2022. "Refining the general equilibrium relation that subsists between stock returns, and each of investors’ risk preferences and information sets," Finance Research Letters, Elsevier, vol. 46(PB).

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