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The Constrained Asset Share Estimation (CASE) Method: Testing Mean-Variance Efficiency of the U.S. Stock Market

  • Charles Engel, Jeffrey A. Frankel, Kenneth A. Froot, and 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 relatively unrestricted ways. The data estimate reasonably the price of risk, and, in some cases, the MVE model is valuable in explaining expected equity returns. Unlike with most tests of MVE. we can put an explicit interpretation on the alternative hypothesis -- a general linear Tobin portfolio choice model. We reject the restrictions implied by MVE.

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Paper provided by University of California at Berkeley in its series Economics Working Papers with number 90-134.

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Date of creation: 01 Jan 1990
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Handle: RePEc:ucb:calbwp:90-134
Contact details of provider: Postal: University of California at Berkeley, Berkeley, CA USA
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Web page: http://www.haas.berkeley.edu/groups/iber/wps/econwp.htmlEmail:


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  1. Bollerslev, Tim, 1986. "Generalized autoregressive conditional heteroskedasticity," Journal of Econometrics, Elsevier, vol. 31(3), pages 307-327, April.
  2. Engel, Charles & Rodrigues, Anthony P, 1989. "Tests of International CAPM with Time-Varying Covariances," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 4(2), pages 119-38, April-Jun.
  3. Frankel, Jeffrey & Engel, Charles M., 1984. "Do asset-demand functions optimize over the mean and variance of real returns? A six-currency test," Journal of International Economics, Elsevier, vol. 17(3-4), pages 309-323, November.
  4. 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.
  5. 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.
  6. Engel, Charles M & Rodrigues, Anthony P, 1993. "Tests of Mean-Variance Efficiency of International Equity Markets," Oxford Economic Papers, Oxford University Press, vol. 45(3), pages 403-21, July.
  7. Harvey, Campbell R., 1989. "Time-varying conditional covariances in tests of asset pricing models," Journal of Financial Economics, Elsevier, vol. 24(2), pages 289-317.
  8. 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.
  9. 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.
  10. Bodurtha, James N, Jr & Mark, Nelson C, 1991. " Testing the CAPM with Time-Varying Risks and Returns," Journal of Finance, American Finance Association, vol. 46(4), pages 1485-1505, September.
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