“…We propose a data-driven framework to compute optimal multi-period dynamic strategies for outperforming a general stochastic benchmark target, which is an important portfolio management problem with immediate practical applications. There is a large extant literature on techniques for constructing portfolios which outperform a stochastic benchmark, e.g., (Browne, 1999(Browne, , 2000Tepla, 2001;Basak et al, 2006;Davis and Lleo, 2008;Lim and Wong, 2010;Oderda, 2015;Alekseev and Sokolov, 2016;Samo and Vervuurt, 2016;Al-Aradi and Jaimungal, 2018).…”