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...

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...