Comparing Asset Pricing Models

A Bayesian asset-pricing test is derived that is easily computed in closed-form from the standard F-statistic. Given a set of candidate traded factors, we develop a related test procedure that permits an analysis of model comparison, i.e., the computation of model probabilities for the collection of all possible pricing models that are based on subsets of the given factors. We find that the recent models of Hou, Xue and Zhang (2015a,b) and Fama and French (2015a,b) are both dominated by five and six-factor models that include a momentum factor, along with value and profitability factors that are updated monthly.

[1]  Jay Shanken,et al.  Multivariate proxies and asset pricing relations: Living with the Roll critique , 1987 .

[2]  Jay Shanken,et al.  A BAYESIAN APPROACH TO TESTING PORTFOLIO EFFICIENCY , 1987 .

[3]  Q. Vuong.  Likelihood Ratio Tests for Model Selection and Non-Nested Hypotheses , 1989 .

[4]  E. Fama,et al.  A Five-Factor Asset Pricing Model , 2014 .

[5]  A. Jackson.  Dissecting Anomalies with a Five-Factor Model , 2016 .

[6]  John C. Chao,et al.  An Exact Bayes Test of Asset Pricing Models with Application to International Markets , 2003 .

[7]  Lu Zhang,et al.  Digesting Anomalies: An Investment Approach , 2012 .

[8]  J. D. Jobson,et al.  Potential performance and tests of portfolio efficiency , 1982 .

[9]  Peter E. Rossi,et al.  A bayesian approach to testing the arbitrage pricing theory , 1991 .

[10]  Jay Shanken,et al.  The Current State of the Arbitrage Pricing Theory , 1992 .

[11]  M. C. Jensen.  The Performance of Mutual Funds in the Period 1945-1964 , 1967 .

[12]  Ľuboš Pástor,et al.  Costs of Equity Capital and Model Mispricing , 1998 .

[13]  Philip H. Dybvig.  An explicit bound on individual assets' deviations from APT pricing in a finite economy , 1983 .

[14]  E. Fama,et al.  Dissecting Anomalies with a Five-Factor Model , 2015 .

[15]  Calyampudi Radhakrishna Rao,et al.  Linear Statistical Inference and its Applications , 1967 .

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

[17]  Mark M. Carhart.  On Persistence in Mutual Fund Performance , 1997 .

[18]  M. Bartlett.  A comment on D. V. Lindley's statistical paradox , 1957 .

[19]  Raymond Kan,et al.  Pricing Model Performance and the Two-Pass Cross-Sectional Regression Methodology , 2009 .

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

[21]  Fischer Black,et al.  How to Use Security Analysis to Improve Portfolio Selection , 1973 .

[22]  R. C. Merton,et al.  AN INTERTEMPORAL CAPITAL ASSET PRICING MODEL , 1973 .

[23]  Lu Zhang,et al.  A Comparison of New Factor Models , 2017 .

[24]  A. Shleifer,et al.  The Limits of Arbitrage , 1995 .

[25]  Yan Liu,et al.  …and the Cross-Section of Expected Returns , 2015 .

[26]  J. Cochrane,et al.  Beyond Arbitrage: 'Good Deal' Asset Price Bounds in Incomplete Markets , 1996 .

[27]  J. Lintner.  THE VALUATION OF RISK ASSETS AND THE SELECTION OF RISKY INVESTMENTS IN STOCK PORTFOLIOS AND CAPITAL BUDGETS , 1965 .

[28]  E. Fama,et al.  The Value Premium and the CAPM , 2005 .

[29]  Campbell R. Harvey,et al.  . . . And the Cross-Section of Expected Returns , 2014 .

[30]  E. Fama,et al.  Multifactor Explanations of Asset Pricing Anomalies , 1996 .

[31]  Douglas T. Breeden.  An Intertemporal Asset Pricing Model with Stochastic Consumption and Investment Opportunities , 1979 .

[32]  W. Sharpe.  CAPITAL ASSET PRICES: A THEORY OF MARKET EQUILIBRIUM UNDER CONDITIONS OF RISK* , 1964 .

[33]  Peter Reinhard Hansen,et al.  The Model Confidence Set , 2010 .

[34]  Piotr Cofta,et al.  The Model of Confidence , 2007 .

[35]  Joseph Chen,et al.  CAPM Over the Long-Run: 1926-2001 , 2003 .

[36]  Stephen A. Ross,et al.  A Test of the Efficiency of a Given Portfolio , 1989 .

[37]  Sheridan Titman,et al.  Factor pricing in a finite economy , 1983 .

[38]  Clifford S. Asness,et al.  The Devil in HML’s Details , 2013, The Journal of Portfolio Management.

[39]  R. Stambaugh,et al.  On correlations and inferences about mean-variance efficiency , 1987 .

[40]  Determining the Number of Priced State Variables in the ICAPM , 1997 .

[41]  E. Fama,et al.  Multifactor Portfolio Efficiency and Multifactor Asset Pricing , 1996, Journal of Financial and Quantitative Analysis.

[42]  Calyampudi R. Rao,et al.  Linear Statistical Inference and Its Applications. , 1975 .

[43]  Narasimhan Jegadeesh,et al.  Returns to Buying Winners and Selling Losers: Implications for Stock Market Efficiency , 1993 .

[44]  Rex Thompson,et al.  Government Regulation and Structural Change in the Corporate Acquisitions Market: The Impact of the Williams Act , 1993, Journal of Financial and Quantitative Analysis.

[45]  E. Fama,et al.  Common risk factors in the returns on stocks and bonds , 1993 .

[46]  F. Black,et al.  The Capital Asset Pricing Model: Some Empirical Tests , 2006 .

[47]  H. Jeffreys,et al.  Theory of probability , 1896 .

[48]  Guofu Zhou,et al.  Bayesian Inference in Asset Pricing Tests , 1990 .

[49]  G. Dhaene,et al.  On comparing zero-alpha tests across multifactor asset pricing models , 2015 .

[50]  The functional equivalence of the W, LR, and LM statistics , 1995 .

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

[52]  J. Berger,et al.  The Intrinsic Bayes Factor for Model Selection and Prediction , 1996 .