Performance measures such as the Sharpe ratio and the information ratio are estimation subject to estimation error. Lo (2002) derives the explicit expressions for the statistical distribution of the Sharpe ratio. Bertrand and Protopopescu (2007) have extended his work to the bivariate case which...

In this article, we show that performance attribution considered alone can be misleading. Indeed, a portfolio manager who knows perfectly the distribution of asset's returns and who performs a relative portfolio optimization according to that information, may be penalized in some of her choices...

We analyze the performance of the two main portfolio insurance methods, the OBPI and CPPI strategies, using downside risk measures. For this purpose, we introduce Kappa performance measures and especially the Omega measure. These measures take account of the entire return distribution. We show...