TY - JOUR AU - Burnside,A. Craig TI - Empirical Asset Pricing and Statistical Power in the Presence of Weak Risk Factors JF - National Bureau of Economic Research Working Paper Series VL - No. 13357 PY - 2007 Y2 - August 2007 UR - http://www.nber.org/papers/w13357 L1 - http://www.nber.org/papers/w13357.pdf N1 - Author contact info: Craig Burnside Department of Economics Duke University 213 Social Sciences Building Durham, NC 27708-0097 Tel: 919/660-1808 Fax: 919/684-8974 E-Mail: craig.burnside@duke.edu AB - The risk factors in many consumption-based asset pricing models display statistically weak correlation with the returns being priced. Some GMM-based procedures used to test these models have very low power to reject proposed stochastic discount factors (SDFs) when they are misspecified and the covariance matrix of the asset returns with the risk factors has less than full column rank. Consequently, these estimators provide potentially misleading positive assessments of the SDFs. Working with SDFs specified in terms of demeaned risk factors improves the performance of GMM but the power to reject misspecified SDFs may remain low. Two summary tests for failure of the rank condition have reasonable power, and lead to no Type I errors in Monte Carlo experiments. ER -