To circumvent the limitations of the tests for coefficients of variation and Sharpe ratio, we develop the mean-variance-ratio statistic to test for the equality of the mean-variance ratios. We prove that our proposed statistic is uniformly most powerful unbiased. In addition, we provide the...

An intersection–union test for supporting the hypothesis that a given investment strategy is optimal among a set of alternatives is presented. It compares the Sharpe ratio of the benchmark with that of each other strategy. The intersection–union test takes serial dependence into account and...

Applied researchers often test for the difference of the Sharpe ratios of two investment strategies. A very popular tool to this end is the test of Jobson and Korkie (1981), which has been corrected by Memmel (2003). Unfortunately, this test is not valid when returns have tails heavier than the...