TY - JOUR AU - Pastor,Lubos AU - Stambaugh,Robert F. TI - Predictive Systems: Living with Imperfect Predictors JF - National Bureau of Economic Research Working Paper Series VL - No. 12814 PY - 2007 Y2 - January 2007 UR - http://www.nber.org/papers/w12814 L1 - http://www.nber.org/papers/w12814.pdf N1 - Author contact info: Lubos Pastor University of Chicago Booth School of Business 5807 South Woodlawn Ave Chicago, IL 60637 Tel: 773/834-4080 Fax: NA E-Mail: lubos.pastor@chicagobooth.edu Robert F. Stambaugh Finance Department The Wharton School University of Pennsylvania Philadelphia, PA 19104-6367 Tel: 215/898-5734 Fax: 215/898-6200 E-Mail: stambaugh@wharton.upenn.edu AB - The standard regression approach to modeling return predictability seems too restrictive in one way but too lax in another. A predictive regression models expected returns as an exact linear function of a given set of predictors but does not exploit the likely economic property that innovations in expected returns are negatively correlated with unexpected returns. We develop an alternative framework - a predictive system - that accommodates imperfect predictors and beliefs about that negative correlation. In this framework, the predictive ability of imperfect predictors is supplemented by information in lagged returns as well as lags of the predictors. Compared to predictive regressions, predictive systems deliver different and substantially more precise estimates of expected returns as well as different assessments of a given predictor's usefulness. ER -