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...

We present empirical evidence that stocks with low volatility earn high risk-adjusted returns. The annual alpha spread of global low versus high volatility decile portfolios amounts to 12% over the 1986-2006 period. We also observe this volatility effect within the US, European and Japanese...

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...

Betas are used in many applications ranging from asset pricing tests, cost of capital estimation, investment management and risk management. Beta needs to be estimated, and to reduce estimation error, shrinkage to its cross-sectional average value of one is often applied. Since beta is the...