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Analytical results for a model of periodic consumption

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Kelly, Clare, 1975- and Lanot, Gauthier (2003) Analytical results for a model of periodic consumption. Working Paper. University of Warwick, Department of Economics, Coventry.

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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.

Item Type: Working or Discussion Paper (Working Paper)
Subjects: H Social Sciences > HB Economic Theory
Divisions: Faculty of Social Sciences > Economics
Library of Congress Subject Headings (LCSH): Consumption (Economics) -- Mathematical models, Liquidity (Economics), Uncertainty, Rational expectations (Economic theory)
Series Name: Warwick economic research papers
Publisher: University of Warwick, Department of Economics
Place of Publication: Coventry
Date: April 2003
Number: No.673
Number of Pages: 45
Status: Not Peer Reviewed
Access rights to Published version: Open Access
References: Carroll C. 2001. A Theory of the Consumption Function, with and without Liquidity Constraints. NBER Working Paper no. 8387. Carroll C., Kimball, M., 1996. On the Concavity of the Consumption Function. Econometrica 64, 981-992. Carroll C., Kimball, M., 2001. Liquidity Constraints and Precautionary Saving. NBER Working Paper no. 8496. Chambers M.J., Bailey, R., 1996. A Theory of Commodity Price Fluctuations. Journal of Political Economy, 104, 924-956. Deaton, A., 1991. Saving and Liquidity Constraints. Econometrica, 59, 1221-1248. Deaton, A., Laroque, G., 1995. Estimating a Non-Linear Rational Expectations Commodity Price Model with Unobservable State Variables. Journal of Applied Econometrics, 10, S9 – S40. Deaton, A., Laroque, G., 1996. Competitive Storage and Commodity Price Dynamics. Journal of Political Economy, 104, 897-923. Hirshleifer, J., Riley, J.G. 1992. The Analytics of Uncertainty and Information, Cambridge University Press. Kelly, C., Lanot, G. 2002. Consumption smoothing over Pay Periods. University of Warwick Working Paper 656. Mason R., Wright, S., 2001. The effect of uncertainty on optimal consumption, Journal of Economic Dynamics and Control, 25, 185 – 212. Rabault G., 2002. When do borrowing constraints bind? Some new results on the income fluctuation problem. Journal of Economic Dynamics and Control, 26, 217 – 245. Zeldes, S., 1989. Optimal Consumption with Stochastic Income Deviations from Certainty Equivalence. Quarterly Journal of Economics, 104, 275-297.
URI: http://wrap.warwick.ac.uk/id/eprint/1516

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