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Analytical Results for a Model of Periodic Consumption

Author

Listed:
  • Clare Kelly

    (University of Warwick, Department of Economics)

  • Gauthier Lanot

    (Keele University, Department of Economics)

Abstract

This paper presents the partial analytical solution to a model of periodic consumption that incorporates imperfect capital markets and uncertainty. Our model assumes that consumption decisions occur more frequently than income receipts. We show that the week-specific consumption functions can be ordered. At low levels of wealth these functions exhibit a ‘‘u-shaped’’ pattern between income receipts. We show analytically that changes in the level of the borrowing constraint affect only the level of consumption function and not the MPC, whilst mean-preserving changes in uncertainty affect both.

Suggested Citation

  • Clare Kelly & Gauthier Lanot, 2003. "Analytical Results for a Model of Periodic Consumption," Keele Economics Research Papers KERP 2003/01, Centre for Economic Research, Keele University.
    • Handle: RePEc:kee:kerpuk:2003/01
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    References listed on IDEAS

    as
    1. Deaton, Angus, 1991. "Saving and Liquidity Constraints," Econometrica, Econometric Society, vol. 59(5), pages 1221-1248, September.
    2. Mason, Robin & Wright, Stephen, 2001. "The effects of uncertainty on optimal consumption," Journal of Economic Dynamics and Control, Elsevier, vol. 25(1-2), pages 185-212, January.
    3. 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.
    4. Clare Kelly & Gauthier Lanot, 2002. "Consumption Patterns over Pay Periods," Microeconomics 0211013, University Library of Munich, Germany.
    5. Carroll, Christopher D & Kimball, Miles S, 1996. "On the Concavity of the Consumption Function," Econometrica, Econometric Society, vol. 64(4), pages 981-992, July.
    6. Christopher D. Carroll, 2001. "A Theory of the Consumption Function, with and without Liquidity Constraints," Journal of Economic Perspectives, American Economic Association, vol. 15(3), pages 23-45, Summer.
    7. Carroll, Christopher D. & Holm, Martin B. & Kimball, Miles S., 2021. "Liquidity constraints and precautionary saving," Journal of Economic Theory, Elsevier, vol. 195(C).
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    10. Rabault, Guillaume, 2002. "When do borrowing constraints bind? Some new results on the income fluctuation problem," Journal of Economic Dynamics and Control, Elsevier, vol. 26(2), pages 217-245, February.
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    More about this item

    Keywords

    Analytical consumption function; liquidity constraints; uncertainty.;
    All these keywords.

    JEL classification:

    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • D12 - Microeconomics - - Household Behavior - - - Consumer Economics: Empirical Analysis
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making

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