In a recent article, Schuster and Auer (2012) show that fund managers with a certain positive performance need to be aware of the fact that too high prospective excess returns can lower the empirical Sharpe ratio of their funds. In this note, we investigate the empirical relevance of this...

Generating a high positive excess return in a prospective period does not necessarily increase the empirical Sharpe ratio of an investment fund. Therefore, we derive a critical range in which prospective excess returns must lie in order to increase its empirical Sharpe ratio. We also give a...