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

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

Abstract

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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Bibliographic Info

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
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Handle: RePEc:fip:fednrp:8901

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Keywords: Stock market ; Time-series analysis;

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References

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  1. 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.
  2. 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.
  3. Shanken, Jay, 1985. "Multivariate tests of the zero-beta CAPM," Journal of Financial Economics, Elsevier, vol. 14(3), pages 327-348, September.
  4. Tim Bollerslev, 1986. "Generalized autoregressive conditional heteroskedasticity," EERI Research Paper Series EERI RP 1986/01, Economics and Econometrics Research Institute (EERI), Brussels.
  5. 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.
  6. Charles Engel & Anthony P. Rodrigues, 1986. "A Test of International CAPM," NBER Working Papers 2054, National Bureau of Economic Research, Inc.
  7. Jeffrey A. Frankel & William T. Dickens, 1986. "Are Asset Demand Functions Determined by CAPM?," NBER Working Papers 1113, National Bureau of Economic Research, Inc.
  8. Robert Stambaugh, . "On the Exclusion of Assets from Tests of the Two-Parameter Model: A Sensitivity Analysis," Rodney L. White Center for Financial Research Working Papers 13-81, Wharton School Rodney L. White Center for Financial Research.
  9. 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.
  10. E.K. Berndt & B.H. Hall & R.E. Hall, 1974. "Estimation and Inference in Nonlinear Structural Models," NBER Chapters, in: Annals of Economic and Social Measurement, Volume 3, number 4, pages 103-116 National Bureau of Economic Research, Inc.
  11. Poterba, James M. & Summers, Lawrence H., 1988. "Mean reversion in stock prices : Evidence and Implications," Journal of Financial Economics, Elsevier, vol. 22(1), pages 27-59, October.
  12. MacKinlay, A. Craig, 1987. "On multivariate tests of the CAPM," Journal of Financial Economics, Elsevier, vol. 18(2), pages 341-371, June.
  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. Schwert, G. William, 1983. "Size and stock returns, and other empirical regularities," Journal of Financial Economics, Elsevier, vol. 12(1), pages 3-12, June.
  15. 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.
  16. 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.
  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. 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.
  19. 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.
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Citations

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Cited by:
  1. Bollerslev, Tim & Chou, Ray Y. & Kroner, Kenneth F., 1992. "ARCH modeling in finance : A review of the theory and empirical evidence," Journal of Econometrics, Elsevier, vol. 52(1-2), pages 5-59.
  2. Joyce, Michael & Lasaosa, Ana & Stevens , Ibrahim & Tong, Matthew, 2010. "The financial market impact of quantitative easing," Bank of England working papers 393, Bank of England.
  3. David Morelli, 2003. "Capital asset pricing model on UK securities using ARCH," Applied Financial Economics, Taylor & Francis Journals, vol. 13(3), pages 211-223.
  4. Tim BOLLERSLEV & Ray Y. CHOU & Narayanan JAYARAMAN & Kenneth F. KRONER, 1991. "Les modéles ARCH en finance : un point sur la théorie et les résultats empiriques," Annales d'Economie et de Statistique, ENSAE, issue 24, pages 1-59.
  5. Bekaert, Geert & Wu, Guojun, 2000. "Asymmetric Volatility and Risk in Equity Markets," Review of Financial Studies, Society for Financial Studies, vol. 13(1), pages 1-42.

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