Stock Return Predictability: A Bayesian Model Selection Perspective

Attempts to characterize stock return predictability have resulted in little consensus on the important conditioning variables, giving rise to model uncertainty and data snooping fears. We introduce a new methodology that explicitly incorporates model uncertainty by comparing all possible models simultaneously and in which the priors are calibrated to reflect economically meaningful information. Our approach minimizes data snooping given the information set and the priors. We compare the prior views of a skeptic and a confident investor. The data imply posterior probabilities that are in general more supportive of stock return predictability than the priors for both types of investors. Copyright 2002, Oxford University Press.

[1]  C. Z. Wei.  On Predictive Least Squares Principles , 1992 .

[2]  Mark F. J. Steel,et al.  Bayesian-analysis of Systems of Seemingly Unrelated Regression Equations Under a Recursive Extended Natural Conjugate Prior Density , 1988 .

[3]  Arturo Estrella,et al.  The term structure as a predictor of real economic activity , 1991 .

[4]  Wayne E. Ferson,et al.  Are the Latent Variables in Time‐Varying Expected Returns Compensation for Consumption Risk? , 1990 .

[5]  Joseph G. Ibrahim,et al.  Predictive specification of prior model probabilities in variable selection , 1996 .

[6]  E. George,et al.  Journal of the American Statistical Association is currently published by American Statistical Association. , 2007 .

[7]  Peter C. B. Phillips,et al.  An Asymptotic Theory of Bayesian Inference for Time Series , 1996 .

[8]  Campbell R. Harvey,et al.  The Risk and Predictability of International Equity Returns , 1993 .

[9]  E. Fama,et al.  Efficient Capital Markets : II , 2007 .

[10]  P. Bossaerts,et al.  Implementing Statistical Criteria to Select Return Forecasting Models: What Do We Learn? , 1999 .

[11]  Jacques H. Dreze,et al.  BAYESIAN ANALYSIS OF SIMULTANEOUS EQUATION SYSTEMS , 1983 .

[12]  Campbell R. Harvey,et al.  The Variation of Economic Risk Premiums , 1990, Journal of Political Economy.

[13]  J. Stock,et al.  Inference in Time Series Regression When the Order of Integration of a Regressor is Unknown , 1992, Econometric Theory.

[14]  Campbell R. Harvey.  Time-Varying Conditional Covariances in Tests of Asset Pricing Models , 1989 .

[15]  Jeffrey Pontiff,et al.  Book-to-market ratios as predictors of market returns 1 This paper has benefited from comments from , 1998 .

[16]  F. Douglas Foster,et al.  Assessing goodness-of-fit of asset pricing models: The distribution of the maximal R2 , 1997 .

[17]  L. Wasserman,et al.  A Reference Bayesian Test for Nested Hypotheses and its Relationship to the Schwarz Criterion , 1995 .

[18]  D. Madigan,et al.  Model Selection and Accounting for Model Uncertainty in Graphical Models Using Occam's Window , 1994 .

[19]  J. Geweke,et al.  Variable selection and model comparison in regression , 1994 .

[20]  A. Lo,et al.  MAXIMIZING PREDICTABILITY IN THE STOCK AND BOND MARKETS , 1995, Macroeconomic Dynamics.

[21]  A. Timmermann,et al.  Predictability of Stock Returns: Robustness and Economic Significance , 1995 .

[22]  G. Schwarz.  Estimating the Dimension of a Model , 1978 .

[23]  Donald B. Keim,et al.  Chapter 17 On the predictability of common stock returns: World-wide evidence , 1999, Finance.

[24]  J. York,et al.  Bayesian Graphical Models for Discrete Data , 1995 .

[25]  Dean Phillips Foster,et al.  Calibration and Empirical Bayes Variable Selection , 1997 .

[26]  Peter C. B. Phillips,et al.  Posterior Odds Testing for a Unit Root with Data-Based Model Selection , 1994, Econometric Theory.

[27]  L. Wasserman,et al.  Computing Bayes Factors by Combining Simulation and Asymptotic Approximations , 1997 .

[28]  Matthew Richardson,et al.  Temporary Components of Stock Prices: A Skeptic's View , 1993 .

[29]  A. Zellner,et al.  Posterior odds ratios for selected regression hypotheses , 1980 .

[30]  A. Lo,et al.  Data-Snooping Biases in Tests of Financial Asset Pricing Models , 1989 .

[31]  A. Zellner.  An Introduction to Bayesian Inference in Econometrics , 1971 .

[32]  Ľuboš Pástor.  Portfolio Selection and Asset Pricing Models , 1999 .

[33]  Doron Avramov,et al.  Stock Return Predictability and Model Uncertainty , 2001 .

[34]  Purushottam W. Laud,et al.  Predictive Model Selection , 1995 .

[35]  David Draper,et al.  Assessment and Propagation of Model Uncertainty , 2011 .

[36]  M. Steel,et al.  Benchmark Priors for Bayesian Model Averaging , 2001 .

[37]  H. Akaike.  A new look at the statistical model identification , 1974 .

[38]  R. Stambaugh,et al.  Predictive Regressions , 1999 .

[39]  Estimating Expected Returns , 2003 .

[40]  T. J. Mitchell,et al.  Bayesian Variable Selection in Linear Regression , 1988 .

[41]  Robert C. Merton,et al.  On the current state of the stock market rationality hypothesis , 1985 .

[42]  Jacob Boudoukh,et al.  Nonlinearities in the Relation Between the Equity Risk Premium and the Term Structure , 1997 .

[43]  Dale J. Poirier,et al.  Intermediate Statistics and Econometrics: A Comparative Approach , 1995 .

[44]  Adrian F. M. Smith,et al.  Bayesian Statistics 5. , 1998 .

[45]  E. George,et al.  APPROACHES FOR BAYESIAN VARIABLE SELECTION , 1997 .

[46]  Robert F. Whitelaw.  Time Variations and Covariations in the Expectation and Volatility of Stock Market Returns , 1994 .

[47]  S. Ross,et al.  Economic Forces and the Stock Market , 1986 .

[48]  Kent D. Daniel,et al.  NBER WORKING PAPER SERIES EVIDENCE ON THE CHARACTERISTICS OF CROSS SECTIONAL VARIATION IN STOCK RETURNS , 1996 .

[49]  J. Campbell.  Stock Returns and the Term Structure , 1985 .

[50]  D. Madigan,et al.  Bayesian Model Averaging for Linear Regression Models , 1997 .

[51]  Stephen M. Horan.  Book-to-Market Ratios as Predictors of Market Returns , 1999 .

[52]  Fischer Black,et al.  Estimating Expected Return , 1993 .