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Analytical Results for a Model of Periodic Consumption

  • Clare Kelly


    (University of Warwick, Department of Economics)

  • Gauthier Lanot


    (Keele University, Department of Economics)

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.

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Paper provided by Centre for Economic Research, Keele University in its series Keele Economics Research Papers with number KERP 2003/01.

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Length: 39 pages
Date of creation: Apr 2003
Date of revision:
Handle: RePEc:kee:kerpuk:2003/01
Contact details of provider: Postal: Department of Economics, University of Keele, Keele, Staffordshire, ST5 5BG - United Kingdom
Phone: +44 (0)1782 584581
Fax: +44 (0)1782 717577
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Order Information: Postal: Centre for Economic Research, Research Institute for Public Policy and Management, Keele University, Staffordshire ST5 5BG - United Kingdom
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  1. Kelly, Clare & Gauthier Lanot, 2002. "Consumption Patterns over Pay Periods," Royal Economic Society Annual Conference 2002 112, Royal Economic Society.
  2. 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.
  3. 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.
  4. Christopher D Carroll & Miles S Kimball, 2001. "Liquidity Constraints and Precautionary Saving," Economics Working Paper Archive 455, The Johns Hopkins University,Department of Economics.
  5. Zeldes, Stephen P, 1989. "Optimal Consumption with Stochastic Income: Deviations from Certainty Equivalence," The Quarterly Journal of Economics, MIT Press, vol. 104(2), pages 275-98, May.
  6. Angus Deaton, 1989. "Saving and Liquidity Constraints," NBER Working Papers 3196, National Bureau of Economic Research, Inc.
  7. Christopher D. Carroll & Miles S. Kimball, 1995. "On the concavity of the consumption function," Finance and Economics Discussion Series 95-10, Board of Governors of the Federal Reserve System (U.S.).
  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 924-57, October.
  9. 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.
  10. 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.
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