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...

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...

The SharpeR package provides basic functionality for testing significance of the Sharpe ratio of a series of returns, and of the Markowitz portfolio on a number of possibly correlated assets.[15] The goal of the package is to make it simple to estimate profitability (in terms of riskadjusted returns) of strategies or asset streams. 1 The Sharpe ratio and Optimal Sharpe ratio Sharpe defined the ...

This study aims at getting a better performance for optimal stock portfolios by modeling stocks prices dynamics through a continuous paths Levy process. To this end, the share prices are simulated using a multi-dimensional geometric Brownian motion model. Then, we use the results to form the optimal portfolio by maximizing the Sharpe ratio and comparing the findings with the outputs of the conv...

many performance measures, such as the classical sharpe ratio have difficulty in evaluating the performance of investment companies whose return distributions are skewed. common causes for skew ness are the use of options in the portfolio or superior market timing skills of the portfolio managers. in this article, we examine the ability of the downside risk and the upside potential ratio (upr) ...