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Comparing large-sample maximum Sharpe ratios and incremental variable testing

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  • Hanke, Michael
  • Penev, Spiridon

Abstract

Most existing results on the distribution of the maximum Sharpe ratio depend on the assumption of multivariate normal return distributions. We use recent results from the literature to provide an analytical representation of the distribution of the difference between two maximum Sharpe ratios for much less restrictive distributional assumptions, both with and without short sales. Knowing the distribution of the difference enables us to test ex ante whether or not the inclusion of additional variables leads to a significant improvement in the maximum Sharpe ratio. In addition, we characterize the optimal long-only solution and provide conditions for global optimality.

Suggested Citation

  • Hanke, Michael & Penev, Spiridon, 2018. "Comparing large-sample maximum Sharpe ratios and incremental variable testing," European Journal of Operational Research, Elsevier, vol. 265(2), pages 571-579.
    • Handle: RePEc:eee:ejores:v:265:y:2018:i:2:p:571-579
    DOI: 10.1016/j.ejor.2017.08.018
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    References listed on IDEAS

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    Cited by:

    1. Gabriel Frahm, 2018. "An Intersection–Union Test for the Sharpe Ratio," Risks, MDPI, vol. 6(2), pages 1-13, April.
    2. Lu, Jin-Ray & Li, Xiu-Yan, 2021. "Identifying the fair value of Sharpe ratio by an option valuation approach," The Quarterly Review of Economics and Finance, Elsevier, vol. 82(C), pages 63-70.
    3. Chakrabarti, Deepayan, 2021. "Parameter-free robust optimization for the maximum-Sharpe portfolio problem," European Journal of Operational Research, Elsevier, vol. 293(1), pages 388-399.

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