The mean-semivariance CAPM strongly outperforms the traditional mean-variance CAPM in terms of its ability to explain the cross-section of US stock returns. If regular beta is replaced by downside beta, the traditional risk-return relationship is restored. The downside betas of low-beta stocks...

This study analyzes various measures of the downside beta of stocks. Downside beta is sometimes defined and estimated in different ways. Theoretically, an approach based on the mean-semi-variance equilibrium model appears superior. Two known alternative approaches are not consistent with the...

The Capital Asset Pricing Model (CAPM) predicts a positive relation between risk and return, but empirical studies find the actual relation to be flat, or even negative. This paper provides a broad overview of explanations for this ‘volatility effect' that have been proposed in different...