Using Generalized Method of Moments to Test Mean‐Variance Efficiency

This paper develops tests of unconditional mean-variance efficiency under weak distributional assumptions using a generalized method of moments framework. These tests are potentially more robust than commonly employed tests which rely on the assumption that asset returns are normally distributed and temporarily i.i.d. Using returns for size-based portfolios from 1926 to 1988, the authors show that the conclusion concerning the mean-variance efficiency of market indexes can be sensitive to the test considered. Copyright 1991 by American Finance Association.

[1]  D. A. Hsu,et al.  A Bayesian Robust Detection of Shift in the Risk Structure of Stock Market Returns , 1982 .

[2]  Bill McDonald,et al.  Nonnormalities and Tests of Asset Pricing Theories , 1989 .

[3]  G. Barone-Adesi,et al.  Market Models and Heteroscedasticity of Residual Security Returns , 1983 .

[4]  Gregory Connor,et al.  Risk and Return in an Equilibrium Apt: Application of a New Test Methodology , 1988 .

[5]  F. Diebold,et al.  Conditional heteroskedasticity in the market , 1988 .

[6]  Jay Shanken,et al.  Multivariate tests of the zero-beta CAPM , 1985 .

[7]  Matthew Richardson,et al.  Tests of financial models in the presence of overlapping observations , 1991 .

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

[9]  R. Stambaugh,et al.  On the exclusion of assets from tests of the two-parameter model: A sensitivity analysis , 1982 .

[10]  J. Ingersoll.  Theory of Financial Decision Making , 1987 .

[11]  Michael R. Gibbons,et al.  MULTIVARIATE TESTS OF FINANCIAL MODELS A New Approach , 1982 .

[12]  Robert C. Blattberg,et al.  A Comparison of the Stable and Student Distributions as Statistical Models for Stock Prices: Reply , 1974 .

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

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

[15]  Jay Shanken,et al.  Intertemporal asset pricing: An Empirical Investigation , 1990 .

[16]  E. Fama.  The Behavior of Stock-Market Prices , 1965 .

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

[18]  Bruce N. Lehmann,et al.  The empirical foundations of the arbitrage pricing theory , 1988 .

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

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

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

[22]  Dennis E. Logue,et al.  Foundations of Finance. , 1977 .

[23]  A. Mackinlay.  On multivariate tests of the CAPM , 1987 .

[24]  H. White.  A Heteroskedasticity-Consistent Covariance Matrix Estimator and a Direct Test for Heteroskedasticity , 1980 .

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

[26]  G. Schwert,et al.  Heteroskedasticity in Stock Returns , 1989 .

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

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

[29]  A. Mackinlay.  An analysis of multivariate financial tests , 1985 .

[30]  M. Eichenbaum,et al.  A Time Series Analysis of Representative Agent Models of Consumption Andleisure Choice Under Uncertainty , 1986 .