Research that has led to what is known as the “low volatility anomaly” in cross-sectional stocks from a similar universe indicates that volatility is not compensated with a “volatility” premium. We find evidence of a risk premium, but it depends on the definition or measure of risk....

The authors modeled the non-normal returns of multiple asset classes by using a multivariate truncated Lévy flight distribution and incorporating non-normal returns into the mean-conditional value at risk (M-CVaR) optimization framework. In a series of controlled optimizations, they found that...