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A note on Guo and Xiao's (2016) results on monotonic functions of the Sharpe ratio

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  • Auer, Benjamin R.

Abstract

In this note, we point out that the recent finding of Guo and Xiao (2016) that several performance measures are monotonic functions of the Sharpe ratio under the family of location-scale distributions is not fully original but has already been covered by the earlier theoretical studies of Schuhmacher and Eling (2011, 2012) and Schuhmacher and Auer (2014).

Suggested Citation

  • Auer, Benjamin R., 2018. "A note on Guo and Xiao's (2016) results on monotonic functions of the Sharpe ratio," Finance Research Letters, Elsevier, vol. 24(C), pages 289-290.
    • Handle: RePEc:eee:finlet:v:24:y:2018:i:c:p:289-290
    DOI: 10.1016/j.frl.2017.09.023
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    References listed on IDEAS

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    1. Sinn, Hans-Werner, 1989. "Two-Moment Decision Models and Expected Utility Maximization: Comment," American Economic Review, American Economic Association, vol. 79(3), pages 601-602, June.
    2. Guo, Biao & Xiao, Yugu, 2016. "A note on why doesn't the choice of performance measure matter?," Finance Research Letters, Elsevier, vol. 16(C), pages 248-254.
    3. Meyer, Jack & Rasche, Robert H, 1992. "Sufficient Conditions for Expected Utility to Imply Mean-Standard Deviation Rankings: Empirical Evidence Concerning the Location and Scale Condition," Economic Journal, Royal Economic Society, vol. 102(410), pages 91-106, January.
    4. Danielsson, Jon & Jorgensen, Bjorn N. & Sarma, Mandira & de Vries, Casper G., 2006. "Comparing downside risk measures for heavy tailed distributions," Economics Letters, Elsevier, vol. 92(2), pages 202-208, August.
    5. Schuhmacher, Frank & Eling, Martin, 2011. "Sufficient conditions for expected utility to imply drawdown-based performance rankings," Journal of Banking & Finance, Elsevier, vol. 35(9), pages 2311-2318, September.
    6. Meyer, Jack, 1987. "Two-moment Decision Models and Expected Utility Maximization," American Economic Review, American Economic Association, vol. 77(3), pages 421-430, June.
    7. Schuhmacher, Frank & Auer, Benjamin R., 2014. "Sufficient conditions under which SSD- and MR-efficient sets are identical," European Journal of Operational Research, Elsevier, vol. 239(3), pages 756-763.
    8. Schuhmacher, Frank & Eling, Martin, 2012. "A decision-theoretic foundation for reward-to-risk performance measures," Journal of Banking & Finance, Elsevier, vol. 36(7), pages 2077-2082.
    9. Benjamin R. Auer, 2015. "On The Role Of Skewness, Kurtosis, And The Location And Scale Condition In A Sharpe Ratio Performance Evaluation Setting," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 18(06), pages 1-13.
    10. Eling, Martin & Schuhmacher, Frank, 2007. "Does the choice of performance measure influence the evaluation of hedge funds?," Journal of Banking & Finance, Elsevier, vol. 31(9), pages 2632-2647, September.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Sharpe ratio; Ranking; Location-scale distributions;
    All these keywords.

    JEL classification:

    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G23 - Financial Economics - - Financial Institutions and Services - - - Non-bank Financial Institutions; Financial Instruments; Institutional Investors

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