In spite of their importance, third or higher moments of portfolio returns are often neglected in portfolio construction problems due to the computational difficulties associated with them. In this paper, we propose a new robust mean–variance approach that can control portfolio skewness and...

Most socially responsible investment funds combine a sustainability objective with a tracking error constraint. We characterize the impact of a sustainability constraint on the mean-tracking error efficient frontier and illustrate this on a universe of US stocks for the period 2003–2010.

We use extreme value theory to analyse the tails of a momentum strategy’s return distribution. The asymmetry between the fat left tail and thin right tail strongly reduces a momentum strategy’s prospective utility levels.