Assessing Specification Errors in Stochastic Discount Factor Models

In this paper we develop alternative ways to compare asset pricing models when it is understood that their implied stochastic discount factors do not price all portfolios correctly. Unlike comparisons based on x2 statistics associated with null hypothesis that models are correct, our measures of model performance do not reward variability of discount factor proxies. One of our measures is designed to exploit fully the implications of arbitrage-free pricing of derivative claims. We demonstrate empirically the usefulness of methods in assessing some alternative stochastic factor models that have been proposed in asset pricing literature.

[1]  Mark Rubinstein,et al.  The Valuation of Uncertain Income Streams and the Pricing of Options , 1976 .

[2]  L. Hansen,et al.  Generalized Instrumental Variables Estimation of Nonlinear Rational Expectations Models , 1982 .

[3]  S. Ross.  The arbitrage theory of capital asset pricing , 1976 .

[4]  David M. Kreps.  Arbitrage and equilibrium in economies with infinitely many commodities , 1981 .

[5]  Larry G. Epstein,et al.  Substitution, Risk Aversion, and the Temporal Behavior of Consumption and Asset Returns: An Empirical Analysis , 1991, Journal of Political Economy.

[6]  David M. Kreps,et al.  Martingales and arbitrage in multiperiod securities markets , 1979 .

[7]  R. Jagannathan,et al.  The CAPM is alive and well , 1994 .

[8]  L. Hansen,et al.  Implications of Security Market Data for Models of Dynamic Economies , 1990, Journal of Political Economy.

[9]  R. Jagannathan,et al.  The Conditional CAPM and the Cross-Section of Expected Returns , 1996 .

[10]  S. Ross.  A Simple Approach to the Valuation of Risky Streams , 1978 .

[11]  Zhiwu Chen,et al.  Measurement of Market Integration and Arbitrage , 1995 .

[12]  Ravi Jagannathan,et al.  Implications of Security Market Data for Models of Dynamic Economies , 1990, Journal of Political Economy.

[13]  W. Newey,et al.  A Simple, Positive Semi-Definite, Heteroskedasticity and Autocorrelationconsistent Covariance Matrix , 1986 .

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

[15]  S. Viswanathan,et al.  A New Approach to International Arbitrage Pricing , 1993 .

[16]  Lars Peter Hansen,et al.  Using conditional moments of asset payoffs to infer the volatility of intertemporal marginal rates of substitution , 1990 .

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

[18]  G. Constantinides,et al.  Habit Persistence and Durability in Aggregate Consumption: Empirical Tests , 1991 .

[19]  Andrew B. Abel,et al.  Asset Prices Under Habit Formation and Catching Up with the Joneses , 1990 .

[20]  David P. Brown,et al.  A Simple Econometric Approach for Utility‐Based Asset Pricing Models , 1985 .

[21]  R. Gibbons,et al.  Empirical Tests of the Consumption-Oriented CAPM , 1989 .

[22]  D. Andrews.  Asymptotic Normality of Series Estimators for Nonparametric and Semiparametric Regression Models , 1991 .

[23]  Gur Huberman,et al.  A simple approach to arbitrage pricing theory , 1982 .

[24]  D. Luenberger.  Optimization by Vector Space Methods , 1968 .

[25]  Peter E. Rossi,et al.  Posterior, predictive, and utility-based approaches to testing the arbitrage pricing theory , 1990 .

[26]  Ravi Jagannathan,et al.  A contingent claim approach to performance evaluation , 1993 .

[27]  Lan Peter Hamen,et al.  Generalized Instrumental Variables Estimation of Nonlinear Rational Expectations Models , 1982 .

[28]  Jonathan E. Ingersoll,et al.  Mean-Variance Theory in Complete Markets , 1982 .

[29]  Tim Bollerslev,et al.  COMMON PERSISTENCE IN CONDITIONAL VARIANCES , 1993 .

[30]  Enrique Sentana,et al.  Volatiltiy and Links between National Stock Markets , 1990 .

[31]  Richard Roll,et al.  A Critique of the Asset Pricing Theory''s Tests: Part I , 1977 .

[32]  Gurdip Bakshi,et al.  The Spirit of Capitalism and Stock-Market Prices , 1996 .

[33]  D. Andrews.  Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation , 1991 .

[34]  S. Durlauf,et al.  Bounds on the Variances of Specification Errors in Models with Expectations , 1989 .

[35]  Stephen A. Clark.  The valuation problem in arbitrage price theory , 1993 .

[36]  M. Rothschild,et al.  Arbitrage, Factor Structure, and Mean-Variance Analysis on Large Asset Markets , 1983 .

[37]  L. Hansen.  Large Sample Properties of Generalized Method of Moments Estimators , 1982 .

[38]  Lars Peter Hansen,et al.  THE ROLE OF CONDITIONING INFORMATION IN DEDUCING TESTABLE RESTRICTIONS IMPLIED BY DYNAMIC ASSET PRICING MODELS1 , 1987 .

[39]  Lars Peter Hansen,et al.  Asset Pricing Explorations for Macroeconomics , 1992, NBER Macroeconomics Annual.

[40]  Erzo G. J. Luttmer,et al.  Econometric Evaluation of Asset Pricing Models , 1993 .

[41]  A. Gallant,et al.  Seminonparametric Estimation Of Conditionally Constrained Heterogeneous Processes: Asset Pricing Applications , 1989 .

[42]  Erzo G. J. Luttmer.  Asset pricing in economies with frictions , 1996 .

[43]  J. Cochrane.  A Cross-Sectional Test of a Production-Based Asset Pricing Model , 1992 .

[44]  Sheridan Titman,et al.  The Determinants of Capital Structure Choice , 1988 .

[45]  R. Green.  Benchmark Portfolio Inefficiency and Deviations from the Security Market Line , 1986 .

[46]  L. Glosten,et al.  Economic Significance of Predictable Variations in Stock Index Returns , 1989 .

[47]  W. Newey,et al.  A Simple, Positive Semi-Definite, Heteroskedasticity and Autocorrelationconsistent Covariance Matrix , 1986 .

[48]  Gur Huberman,et al.  Mimicking Portfolios and Exact Arbitrage Pricing , 1987 .

[49]  Wayne E. Ferson,et al.  Seasonality and Consumption-Based Asset Pricing , 1992 .