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Mean Reversion and Consumption Smoothing

  • Fischer Black
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    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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    File URL: http://www.nber.org/papers/w2946.pdf
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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
    Date of revision:
    Publication status: published as Review of Financial Studies, Vol. 3, no. 1 (1990): 107-114.
    Handle: RePEc:nbr:nberwo:2946
    Note: ME
    Contact details of provider: Postal: National Bureau of Economic Research, 1050 Massachusetts Avenue Cambridge, MA 02138, U.S.A.
    Phone: 617-868-3900
    Web page: http://www.nber.org
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    9. 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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    19. Abel, Andrew B., 1988. "Stock prices under time-varying dividend risk : An exact solution in an infinite-horizon general equilibrium model," Journal of Monetary Economics, Elsevier, vol. 22(3), pages 375-393.
    20. 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.
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