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An Investigation Of The Risk And Return Relation At Long Horizons


  • Paul Harrison
  • Harold H. Zhang


This paper examines the relation between expected stock returns and their conditional volatility over different holding periods and across different states of the economy. Seminonparametric density estimation and Monte Carlo integration are used to obtain the expected returns and conditional volatility at various holding intervals. We uncover a significantly positive risk and return relation at long holding intervals, such as one and two years, which is nonexistent at short holding periods such as one month. We also show that the existing finding in the literature of a negative risk and return relation may be attributable to misspecification. © 1999 by the President and Fellows of Harvard College and the Massachusetts Institute of Technology

Suggested Citation

  • Paul Harrison & Harold H. Zhang, 1999. "An Investigation Of The Risk And Return Relation At Long Horizons," The Review of Economics and Statistics, MIT Press, vol. 81(3), pages 399-408, August.
  • Handle: RePEc:tpr:restat:v:81:y:1999:i:3:p:399-408

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    References listed on IDEAS

    1. Elliott, Graham & Stock, James H., 1994. "Inference in Time Series Regression When the Order of Integration of a Regressor is Unknown," Econometric Theory, Cambridge University Press, vol. 10(3-4), pages 672-700, August.
    2. Jeffrey C. Fuhrer, 1996. "Monetary Policy Shifts and Long-Term Interest Rates," The Quarterly Journal of Economics, Oxford University Press, vol. 111(4), pages 1183-1209.
    3. Hall, Anthony D & Anderson, Heather M & Granger, Clive W J, 1992. "A Cointegration Analysis of Treasury Bill Yields," The Review of Economics and Statistics, MIT Press, vol. 74(1), pages 116-126, February.
    4. Campbell, John Y & Shiller, Robert J, 1987. "Cointegration and Tests of Present Value Models," Journal of Political Economy, University of Chicago Press, vol. 95(5), pages 1062-1088, October.
    5. Hardouvelis, Gikas A., 1994. "The term structure spread and future changes in long and short rates in the G7 countries: Is there a puzzle?," Journal of Monetary Economics, Elsevier, vol. 33(2), pages 255-283, April.
    6. John Y. Campbell & Robert J. Shiller, 1991. "Yield Spreads and Interest Rate Movements: A Bird's Eye View," Review of Economic Studies, Oxford University Press, vol. 58(3), pages 495-514.
    7. Evans, Martin D. D. & Lewis, Karen K., 1994. "Do stationary risk premia explain it all?: Evidence from the term structure," Journal of Monetary Economics, Elsevier, vol. 33(2), pages 285-318, April.
    8. Cavanagh, Christopher L. & Elliott, Graham & Stock, James H., 1995. "Inference in Models with Nearly Integrated Regressors," Econometric Theory, Cambridge University Press, vol. 11(05), pages 1131-1147, October.
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