Average stock returns for North America, Europe, and Asia Pacific increase with the book-to-market ratio (B/M) and profitability and are negatively related to investment. For Japan the relation between average returns and B/M is strong, but average returns show little relation to profitability...

Our goal is to develop insights about the max squared Sharpe ratio for model factors as a metric for ranking asset-pricing models. We consider nested and non-nested models. The nested models are the CAPM, the three-factor model of Fama and French (1993), the five-factor extension in Fama and...