We propose a new decomposition of the realized covariance matrix into components based on the signs of the underlying high-frequency returns. Under an asymptotic setting in which the sampling interval goes to zero, we derive the asymptotic properties of the resulting realized semicovariance...

This chapter evaluates the returns of the domestic equity funds of three major American companies: Vanguard, Fidelity, and Dimensional Fund Advisors relative to benchmarks using the Fama-French factors from January 2001 through December 2018. We also present Sharpe's (1992) style analysis...