“…The six sophisticated style-integrations have in common that the style weights are derived from past style return data but they differ in the criteria adopted: utility maximization (Optimized Integration, OI), persistence in riskadjusted performance (Rotation-of-Styles Integration, RSI), volatility (Volatility Timing Integration, VTI), pricing ability (Cross-Sectional Pricing Integration, CSI), factor momentum (Style Momentum Integration, SMI) and principal components analysis (Principal Components Integration, PCI). The EWI, OI and RSI methods have already been employed (e.g., Barberis and Shleifer, 2003;Brandt et al, 2009;Frazzini et al, 2013;Fischer and Gallmeyer, 2016;Fitzgibbons et al, 2016;Ghysels et al, 2016;and DeMiguel et al, 2019), but the VTI, SMI, CSI and PCI methods are new to the style-integration literature, to our best knowledge.…”