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Mean Reversion and Consumption Smoothing

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Author Info
Fischer Black
Abstract

Using a simple conventional model with additive separable utility and constant elasticity, we can explain mean reversion and consumption smoothing. The model uses the price of risk and wealth as state variables, but has only one stochastic variable. The price of risk rises temporarily as wealth falls. We also distinguish between risk aversion and the consumption elasticity of marginal utility. We can use the model to match estimates of the average values of consumption volatility, wealth volatility, mean reversion, the growth rate of consumption, the real interest rate, and the market risk premium.

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Paper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 2946.

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Date of creation: Apr 1989
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Publication status: published as Review of Financial Studies, Vol. 3, no. 1 (1990): 107-114.
Handle: RePEc:nbr:nberwo:2946

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Edward C. Prescott, 1986. "Theory ahead of business cycle measurement," Quarterly Review, Federal Reserve Bank of Minneapolis, issue Fall, pages 9-22. [Downloadable!]
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  2. Hall, Robert E, 1988. "Intertemporal Substitution in Consumption," Journal of Political Economy, University of Chicago Press, vol. 96(2), pages 339-57, April. [Downloadable!] (restricted)
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  3. Summers, Lawrence H, 1986. " Does the Stock Market Rationally Reflect Fundamental Values?," Journal of Finance, American Finance Association, vol. 41(3), pages 591-601, July. [Downloadable!] (restricted)
  4. Hall, Robert E, 1978. "Stochastic Implications of the Life Cycle-Permanent Income Hypothesis: Theory and Evidence," Journal of Political Economy, University of Chicago Press, vol. 86(6), pages 971-87, December. [Downloadable!] (restricted)
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  5. Merton, Robert C, 1973. "An Intertemporal Capital Asset Pricing Model," Econometrica, Econometric Society, vol. 41(5), pages 867-87, September. [Downloadable!] (restricted)
  6. Cecchetti, Stephen G & Lam, Pok-sang & Mark, Nelson C, 1990. "Mean Reversion in Equilibrium Asset Prices," American Economic Review, American Economic Association, vol. 80(3), pages 398-418, June. [Downloadable!] (restricted)
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  7. Kim, M.J. & Nelson, C.R. & Startz, R., 1988. "Mean Reversion In Stock Prices? A Reappraisal Of Empirical Evidence," Working Papers 88-15, University of Washington, Department of Economics.
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  8. Friend, Irwin & Blume, Marshall E, 1975. "The Demand for Risky Assets," American Economic Review, American Economic Association, vol. 65(5), pages 900-922, December. [Downloadable!] (restricted)
  9. Mehra, Rajnish & Prescott, Edward C., 1985. "The equity premium: A puzzle," Journal of Monetary Economics, Elsevier, vol. 15(2), pages 145-161, March. [Downloadable!] (restricted)
  10. 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. [Downloadable!] (restricted)
  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. [Downloadable!] (restricted)
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  12. Zeldes, Stephen P, 1989. "Consumption and Liquidity Constraints: An Empirical Investigation," Journal of Political Economy, University of Chicago Press, vol. 97(2), pages 305-46, April. [Downloadable!] (restricted)
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  13. Hansen, Lars Peter & Singleton, Kenneth J, 1983. "Stochastic Consumption, Risk Aversion, and the Temporal Behavior of Asset Returns," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 249-65, April. [Downloadable!] (restricted)
  14. Blanchard, Olivier Jean & Mankiw, N Gregory, 1988. "Consumption: Beyond Certainty Equivalence," American Economic Review, American Economic Association, vol. 78(2), pages 173-77, May. [Downloadable!] (restricted)
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  15. Epstein, Larry G., 1988. "Risk aversion and asset prices," Journal of Monetary Economics, Elsevier, vol. 22(2), pages 179-192, September. [Downloadable!] (restricted)
  16. Merton, Robert C., 1971. "Optimum consumption and portfolio rules in a continuous-time model," Journal of Economic Theory, Elsevier, vol. 3(4), pages 373-413, December. [Downloadable!] (restricted)
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  17. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-45, November. [Downloadable!] (restricted)
  18. Merton, Robert C, 1969. "Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case," The Review of Economics and Statistics, MIT Press, vol. 51(3), pages 247-57, August. [Downloadable!] (restricted)
  19. Andrew B. Abel, 1989. "Stock Prices Under Time-Varying Dividend Risk: An Exact Solution In An Infinite-Horizon General Equilibrium Model," NBER Working Papers 2621, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  20. Cochrane, John H, 1988. "How Big Is the Random Walk in GNP?," Journal of Political Economy, University of Chicago Press, vol. 96(5), pages 893-920, October. [Downloadable!] (restricted)
  21. Constantinides, George M, 1990. "Habit Formation: A Resolution of the Equity Premium Puzzle," Journal of Political Economy, University of Chicago Press, vol. 98(3), pages 519-43, June. [Downloadable!] (restricted)
  22. Shmuel Kandel & Robert F. Stambaugh, . "Modeling Expected Stock Returns for Long and Short Horizons," Rodney L. White Center for Financial Research Working Papers 42-88, Wharton School Rodney L. White Center for Financial Research.
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Alan J. Marcus, 1989. "An Equilibrium Theory of Excess Volatility and Mean Reversion in Stock Market Prices," NBER Working Papers 3106, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  2. Fischer Black, 1989. "Equilibrium Exchange Rate Hedging," NBER Working Papers 2947, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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