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Conditional mean-variance efficiency of the U.S. stock market

  • Charles Engel
  • Jeffrey A. Frankel
  • Kenneth A. Froot
  • Anthony Rodrigues

We apply the method of constrained asset share estimation (CASE) to test the mean-variance efficiency (MVE) of the stock market. This method allows conditional expected returns to vary in unrestricted ways, given investor preferences. We also allow conditional variances to follow an ARCH process. The data estimate reasonably the coefficient of relative risk aversion, though are unable to reject investor risk neutrality. We reject the restrictions implied by MVE, although changing conditional variances improve statistically upon measured market efficiency. We find that unrestricted asset-share and ARCH models help forecast excess returns. Once MVE is imposed, however, this forecasting ability disappears.

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Paper provided by Federal Reserve Bank of New York in its series Research Paper with number 8901.

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Date of creation: 1989
Date of revision:
Handle: RePEc:fip:fednrp:8901
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  1. James M. Poterba & Lawrence H. Summers, 1987. "Mean Reversion in Stock Prices: Evidence and Implications," NBER Working Papers 2343, National Bureau of Economic Research, Inc.
  2. Jeffrey A. Frankel & Charles Engel, 1982. "Do Asset-Demand Functions Optimize over the Mean and Variance of Real Returns? A Six-Currency Test," NBER Working Papers 1051, National Bureau of Economic Research, Inc.
  3. Stambaugh, Robert F., 1982. "On the exclusion of assets from tests of the two-parameter model : A sensitivity analysis," Journal of Financial Economics, Elsevier, vol. 10(3), pages 237-268, November.
  4. Bollerslev, Tim & Engle, Robert F & Wooldridge, Jeffrey M, 1988. "A Capital Asset Pricing Model with Time-Varying Covariances," Journal of Political Economy, University of Chicago Press, vol. 96(1), pages 116-31, February.
  5. Charles Engel & Anthony P. Rodrigues, 1987. "Tests of International CAPM with Time-Varying Covariances," NBER Working Papers 2303, National Bureau of Economic Research, Inc.
  6. Ernst R. Berndt & Bronwyn H. Hall & Robert E. Hall & Jerry A. Hausman, 1974. "Estimation and Inference in Nonlinear Structural Models," NBER Chapters, in: Annals of Economic and Social Measurement, Volume 3, number 4, pages 653-665 National Bureau of Economic Research, Inc.
  7. Gibbons, Michael R & Ross, Stephen A & Shanken, Jay, 1989. "A Test of the Efficiency of a Given Portfolio," Econometrica, Econometric Society, vol. 57(5), pages 1121-52, September.
  8. Hansen, Lars Peter & Richard, Scott F, 1987. "The Role of Conditioning Information in Deducing Testable," Econometrica, Econometric Society, vol. 55(3), pages 587-613, May.
  9. Jeffrey A. Frankel and William T. Dickens., 1983. "Are Asset-Demand Functions Determined by CAPM?," Research Program in Finance Working Papers 140, University of California at Berkeley.
  10. Tim Bollerslev, 1986. "Generalized autoregressive conditional heteroskedasticity," EERI Research Paper Series EERI RP 1986/01, Economics and Econometrics Research Institute (EERI), Brussels.
  11. Gibbons, Michael R. & Shanken, Jay, 1987. "Subperiod aggregation and the power of multivariate tests of portfolio efficiency," Journal of Financial Economics, Elsevier, vol. 19(2), pages 389-394, December.
  12. Shanken, Jay, 1985. "Multivariate tests of the zero-beta CAPM," Journal of Financial Economics, Elsevier, vol. 14(3), pages 327-348, September.
  13. Fama, Eugene F & French, Kenneth R, 1988. "Permanent and Temporary Components of Stock Prices," Journal of Political Economy, University of Chicago Press, vol. 96(2), pages 246-73, April.
  14. Ferson, Wayne E & Kandel, Shmuel & Stambaugh, Robert F, 1987. " Tests of Asset Pricing with Time-Varying Expected Risk Premiums and Market Betas," Journal of Finance, American Finance Association, vol. 42(2), pages 201-20, June.
  15. MacKinlay, A. Craig, 1987. "On multivariate tests of the CAPM," Journal of Financial Economics, Elsevier, vol. 18(2), pages 341-371, June.
  16. Charles Engel & Anthony P. Rodrigues, 1986. "A Test of International CAPM," NBER Working Papers 2054, National Bureau of Economic Research, Inc.
  17. Bollerslev, Tim, 1987. "A Conditionally Heteroskedastic Time Series Model for Speculative Prices and Rates of Return," The Review of Economics and Statistics, MIT Press, vol. 69(3), pages 542-47, August.
  18. Frankel, Jeffrey A., 1982. "In search of the exchange risk premium: A six-currency test assuming mean-variance optimization," Journal of International Money and Finance, Elsevier, vol. 1(1), pages 255-274, January.
  19. Schwert, G. William, 1983. "Size and stock returns, and other empirical regularities," Journal of Financial Economics, Elsevier, vol. 12(1), pages 3-12, June.
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