A Mean-Variance Framework for Tests of Asset Pricing Models

This article presents a mean-variance framework for likelihood- ratio tests of asset pricing models. A pricing model is tested by examining the position of one or more reference portfolios in sample mean-standard-deviation space. Included are tests of both single-beta and multiple-beta relations, with or without a riskless asset, using either a general or a specific alternative hypothesis. Tests with a factor that is not a portfolio return are also included. The mean-variance framework is illustrated by testing the zero-beta CAPM, a two- beta pricing model, and the consumption-beta model. Article published by Oxford University Press on behalf of the Society for Financial Studies in its journal, The Review of Financial Studies.

[1]  T. W. Anderson.  An Introduction to Multivariate Statistical Analysis , 1959 .

[2]  Gur Huberman,et al.  Mean-Variance Spanning , 1987 .

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

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

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

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

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

[8]  Jay Shanken,et al.  Testing Portfolio Efficiency When the Zero-Beta Rate Is Unknown: A Note , 1986 .

[9]  Shmuel Kandel.  The likelihood ratio test statistic of mean-variance efficiency without a riskless asset , 1984 .

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

[11]  Richard Roll.  A note on the geometry of Shanken's CSR T2 test for mean/variance efficiency , 1985 .

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

[13]  F. Black.  Capital Market Equilibrium with Restricted Borrowing , 1972 .

[14]  Shmuel Kandel.  The Geometry of the Maximum Likelihood Estimator of the Zero-Beta Return , 1986 .

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

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

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

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

[19]  S. Ross.  THE CAPITAL ASSET PRICING MODEL (CAPM), SHORT‐SALE RESTRICTIONS AND RELATED ISSUES , 1977 .

[20]  Sheridan Titman,et al.  The Relation between Mean-Variance Efficiency and Arbitrage Pricing , 1987 .

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

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

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

[24]  P. Schmidt,et al.  A Monte Carlo investigation of the accuracy of multivariate CAPM tests , 1985 .