Low-Beta Anomalies %D 2017 %R 10.3905/joi.2017.26.3.107 %J The Journal of Investing %P 107-120 %V 26 %N 3 %X This study shows that a “rational,” capital asset pricing model (CAPM) type of positive relationship between short-horizon expected arithmetic return and risk can lead to a negative long-horizon relationship between compound annual return and risk (whether risk is measured by volatility or beta). This result follows from the stochastic portfolio theory relationship that a stock’s growth rate is less than its expected arithmetic return by approximately one-half its variance of return. The negative long-horizon relationships between return mean and volatility/beta often have been noted and characterized as the low-volatility and low-beta anomalies. Thus, these characterizations may be problematic.TOPICS: Security analysis and valuation, statistical methods %U https://joi.pm-research.com/content/iijinvest/26/3/107.full.pdf