Adjusted Sharpe Ratio: Some Caveats

Sharpe Ratio Practice Note

The Sharpe Ratio Efficient Frontier

We evaluate the probability that an estimated Sharpe ratio exceeds a given threshold in presence of non-Normal returns. We show that this new uncertainty-adjusted investment skill metric (called Probabilistic Sharpe ratio, or PSR) has a number of important applications: First, it allows us to establish the track record length needed for rejecting the hypothesis that a measured Sharpe ratio is b...

When all risk-adjusted performance measures are the same: In praise of the Sharpe ratio

The classical mean-variance investment model is simple, elegant, and popular. As such, it is also subject to criticisms. One unsatisfactory feature of the model is that variance treats the upside and downside equally as risks. In this regard, the downside Lower Partial Moments (LPM) are more attractive as alternative risk measures, since they only penalize the downside. In the meanwhile, consid...

The Sharpe Ratio Indifference Curve

Notes on the Sharpe ratio

Herein is an incomplete collection of facts about the Sharpe ratio, and the Sharpe ratio of the Markowitz portfolio. Connections between the Sharpe ratio and the t-test, and between the Markowitz portfolio and the Hotelling T 2 statistic are explored. Many classical results for testing means can be easily translated into tests on assets and portfolios. A ‘unified’ framework is described which c...