In this paper, we will investigate whether there is any Sharpe ratio rule or Omega ratio rule that can be used to show that one asset outperforms another asset if it has a higher Sharpe ratio and/or Omega ratio. We find that Sharpe ratio rule could not detect preference of both risk averters and...

Asness et. al. (2018) recently resurrect the size effect, concluding that it “…should be restored as one of the central cross-sectional empirical anomalies for asset pricing theory to explain”. We suggest a theoretical explanation for the size effect, based on the observation that many...

The Black-Scholes model and many of its extensions imply a log-normal distribution of stock returns. However, for holding periods of up to a year, the empirical return distribution (both conditional and unconditional) is not log-normal, but rather much closer to the logistic distribution. This...