This study reexamines the relation between downside beta and equity returns in the U.S. First, we replicate Ang, Chen and Xing (2006) who find a positive relation between downside beta and future equity returns for equal-weighted portfolios of NYSE stocks. We show that this relation doesn't hold...

We derive a nonparametric test for constant (continuous) beta over a fixed interval of time. Continuous beta is defined as the ratio of the continuous covariation between an asset and observable risk factor (e.g., the market return) and the continuous variation of the latter. Our test is based...

Using high-frequency data, we decompose the time-varying beta for stocks into beta for continuous systematic risk and beta for discontinuous systematic risk. Estimated discontinuous betas for S&P500 constituents between 2003 and 2011 generally exceed the corresponding continuous betas. We...