Asset Performance Evaluation with the Mean-Variance Ratio

Bai, et al. (2011c) have developed the mean-variance-ratio (MVR) statistics to test the performance among assets for small samples. They have also provided theoretical reasoning to use MVR and proved that their proposed statistic is uniformly most powerful unbiased. In this paper, we illustrate the superiority of the MVR test over the Sharpe ratio (SR) test by applying both tests to analyze the performance of Commodity Trading Advisors (CTAs). Our findings show that while the SR test conclude that most of the CTA funds being analyzed are indistinguishable in their performance, the MVR statistics show that some funds outperformed others. In addition, the SR statistic indicate that one fund significantly outperformed another even when the difference between the two funds becomes insignificant or even changes directions over sub-periods. Moreover, the MVR statistic can detect the changes in the sub-periods.

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