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Analytical Results For A Model Of Periodic Consumption

Author

Listed:
  • Kelly, Clare

    (Department of Economics, University of Warwick)

  • Lanot, Gauthier

    (Department of Economics, Keele University.)

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 receipt. We show that the week specific consumption functions can be ordered. At low levels of wealth these functions exhibit a “ushaped” 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

  • Kelly, Clare & Lanot, Gauthier, 2003. "Analytical Results For A Model Of Periodic Consumption," The Warwick Economics Research Paper Series (TWERPS) 673, University of Warwick, Department of Economics.
  • Handle: RePEc:wrk:warwec:673
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    File URL: https://www2.warwick.ac.uk/fac/soc/economics/research/workingpapers/2008/twerp673a.pdf
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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, Oxford University Press, vol. 104(2), pages 275-298.
    4. Kelly, Clare & Gauthier Lanot, 2002. "Consumption Patterns Over Pay Periods," The Warwick Economics Research Paper Series (TWERPS) 656, University of Warwick, Department of Economics.
    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. Deaton, Angus & Laroque, Guy, 1996. "Competitive Storage and Commodity Price Dynamics," Journal of Political Economy, University of Chicago Press, vol. 104(5), pages 896-923, October.
    8. Chambers, Marcus J & Bailey, Roy E, 1996. "A Theory of Commodity Price Fluctuations," Journal of Political Economy, University of Chicago Press, vol. 104(5), pages 924-957, October.
    9. Christopher D. Carroll & Miles S. Kimball, 2001. "Liquidity Constraints and Precautionary Saving," NBER Working Papers 8496, National Bureau of Economic Research, Inc.
    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.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    Analytical consumption function ; liquidity constraints ; uncertainty;

    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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