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Stochastic dominance and the omega ratio

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  • Fong, Wai Mun

Abstract

The Omega ratio is an intuitive performance measure that encodes investors' desire for higher upside returns and aversion to losses. This paper shows that unlike the popular Sharpe ratio, the Omega ratio is consistent with second-order stochastic dominance which goes beyond the first two moments. Practical implications of this result are discussed.

Suggested Citation

  • Fong, Wai Mun, 2016. "Stochastic dominance and the omega ratio," Finance Research Letters, Elsevier, vol. 17(C), pages 7-9.
    • Handle: RePEc:eee:finlet:v:17:y:2016:i:c:p:7-9
    DOI: 10.1016/j.frl.2015.10.026
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    Cited by:

    1. Monica Billio & Bertrand Maillet & Loriana Pelizzon, 2022. "A meta-measure of performance related to both investors and investments characteristics," Annals of Operations Research, Springer, vol. 313(2), pages 1405-1447, June.
    2. Xu Guo & Cuizhen Niu & Wing-Keung Wong, 2019. "Farinelli and Tibiletti ratio and stochastic dominance," Risk Management, Palgrave Macmillan, vol. 21(3), pages 201-213, September.
    3. 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.
    4. Guan, Guohui & Liang, Zongxia & Xia, Yi, 2023. "Optimal management of DC pension fund under the relative performance ratio and VaR constraint," European Journal of Operational Research, Elsevier, vol. 305(2), pages 868-886.
    5. Guo, Xu & Wong, Wing-Keung & Zhu, Lixing, 2016. "Almost stochastic dominance for risk averters and risk seeker," Finance Research Letters, Elsevier, vol. 19(C), pages 15-21.

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    More about this item

    Keywords

    Investments; Performance measurement; Downside risk; Omega ratio; Stochastic dominance;
    All these keywords.

    JEL classification:

    • C01 - Mathematical and Quantitative Methods - - General - - - Econometrics
    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

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