Abstract
Downside volatility and volatility typically comove but are not highly correlated during the most volatile times. We show that portfolios scaled by downside volatility expand the ex post mean-variance frontiers constructed using the original portfolios and volatility-managed portfolios of Moreira and Muir (2017), and improve the Sharpe ratios of the ex post tangency portfolios. Our results follow from the observation that downside volatility-managed portfolios are not spanned by the original portfolios or volatility-managed portfolios. Whereas downside volatility-managed portfolios expand the investment opportunity set, upside volatility-managed portfolios do not.
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