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On the Concavity of the Consumption Function

Author

Listed:
  • Christopher D. Carroll

    (Board of Governors of the Federal Reserve System)

  • Miles S. Kimball

    (The University of Michigan)

Abstract

Zeldes (1989) Carroll (1992; 1993), and others have shown that optimal consumption behavior for consumers facing income uncertainty can be remarkably different from the certainty-equivalent case. Carroll (1992; 1993) observes that many of the differences can be attributed to the concavity of the consumption function under uncertainty, but he does not describe the conditions under which the consumption function will be concave. We show that if labor income is stochastic, the consumption function will be concave for many commonly used utility functions, and if both labor income and capital income are stochastic, the consumption function is concave for an even broader group of utility functions.

Suggested Citation

  • Christopher D. Carroll & Miles S. Kimball, 1995. "On the Concavity of the Consumption Function," Macroeconomics 9503003, University Library of Munich, Germany.
    • Handle: RePEc:wpa:wuwpma:9503003
    Note: 13 pages, one figure, PostScript file. Need uudecode and a PostScript printer to print.
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    References listed on IDEAS

    as
    1. Neave, Edwin H., 1971. "Multiperiod consumption-investment decisions and risk preference," Journal of Economic Theory, Elsevier, vol. 3(1), pages 40-53, March.
    2. Stephen P. Zeldes, 1989. "Optimal Consumption with Stochastic Income: Deviations from Certainty Equivalence," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 104(2), pages 275-298.
    3. Christopher D. Carroll, 1997. "Buffer-Stock Saving and the Life Cycle/Permanent Income Hypothesis," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(1), pages 1-55.
    4. Christopher D. Carroll, 1992. "The Buffer-Stock Theory of Saving: Some Macroeconomic Evidence," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 23(2), pages 61-156.
    5. Miles S. Kimball, 1990. "Precautionary Saving and the Marginal Propensity to Consume," NBER Working Papers 3403, National Bureau of Economic Research, Inc.
    Full references (including those not matched with items on IDEAS)

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