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Losing money with a high Sharpe ratio

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  • Vladimir Vovk

Abstract

A simple example shows that losing all money is compatible with a very high Sharpe ratio (as computed after losing all money). However, the only way that the Sharpe ratio can be high while losing money is that there is a period in which all or almost all money is lost. This note explores the best achievable Sharpe and Sortino ratios for investors who lose money but whose one-period returns are bounded below (or both below and above) by a known constant.

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  • Vladimir Vovk, 2011. "Losing money with a high Sharpe ratio," Papers 1109.0706, arXiv.org.
  • Handle: RePEc:arx:papers:1109.0706
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    File URL: http://arxiv.org/pdf/1109.0706
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    1. William F. Sharpe, 1965. "Mutual Fund Performance," The Journal of Business, University of Chicago Press, vol. 39, pages 119-119.
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