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Optimal Intertemporal Consumption Under Uncertainty

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  • Chamberlain, Gary
  • Wilson, Charles

Abstract

We analyze the optimal consumption program of an infinitely-lived consumer who maximizes the discounted sum of utilities subject to a sequence of budget constraints where both the interest rate and his income are stochastic. We show that if the income and interest rate processes are sufficiently stochastic and the long run average rate of interest is greater than or equal to the discount rate, then consumption eventually grows without bound with probability one. We also establish conditions under which the borrowing constraints must be binding and examine how the income process affects the optimal consumption program. (Copyright: Elsevier)
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Suggested Citation

  • Chamberlain, Gary & Wilson, Charles, 1984. "Optimal Intertemporal Consumption Under Uncertainty," Working Papers 84-15, C.V. Starr Center for Applied Economics, New York University.
    • Handle: RePEc:cvs:starer:84-15
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    References listed on IDEAS

    as
    1. Bewley, Truman, 1983. "A Difficulty with the Optimum Quantity of Money," Econometrica, Econometric Society, vol. 51(5), pages 1485-1504, September.
    2. Bewley, Truman, 1977. "The permanent income hypothesis: A theoretical formulation," Journal of Economic Theory, Elsevier, vol. 16(2), pages 252-292, December.
    3. Yaari, Menahem E., 1976. "A law of large numbers in the theory of consumer's choice under uncertainty," Journal of Economic Theory, Elsevier, vol. 12(2), pages 202-217, April.
    4. Bewley, Truman, 1980. "The permanent income hypothesis and short-run price stability," Journal of Economic Theory, Elsevier, vol. 23(3), pages 323-333, December.
    5. Bewley, Truman F., 1980. "The permanent income hypothesis and long-run economic stability," Journal of Economic Theory, Elsevier, vol. 22(3), pages 377-394, June.
    6. Schechtman, Jack, 1976. "An income fluctuation problem," Journal of Economic Theory, Elsevier, vol. 12(2), pages 218-241, April.
    7. Milton Friedman, 1957. "A Theory of the Consumption Function," NBER Books, National Bureau of Economic Research, Inc, number frie57-1, March.
    8. Schechtman, Jack & Escudero, Vera L. S., 1977. "Some results on "an income fluctuation problem"," Journal of Economic Theory, Elsevier, vol. 16(2), pages 151-166, December.
    9. de Oliveira Sotomayor, Marilda A., 1984. "On income fluctuations and capital gains," Journal of Economic Theory, Elsevier, vol. 32(1), pages 14-35, February.
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    More about this item

    JEL classification:

    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making

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