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A Dynamic Agricultural Household Model with Uncertain Income and Irreversible and Indivisible Investments under Credit Constraints

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Author Info
Nikolaj Malchow-Moeller
Bo Jellesmark Thorsen () (Department of Economics, University of Aarhus, Denmark)

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Abstract

A dynamic model of agricultural household behaviour in less developed countries in the presence of credit constraints and income uncertainty is developed. The production side of the model takes into account the irreversible and indivisible nature of non-stationary agricultural investment options, thereby combining the standard intertem- poral consumption model with features from the real option pricing literature. The model framework represents an interesting dynamic alternative to the static household models in the literature. It is shown that the model can be solved by use of dynamic programming routines, and numerical results are obtained for a variety of parameter values. Several interesting results emerge: First, the consumption policy functions of the agricultural household can become highly non-linear, violating the standard result that increased wealth implies increased consumption. This has implications for empirical estimation. Secondly, increasing uncertainty does not in general reduce the average propensity to consume, or increase the propensity to save. Thirdly, increased variation of income only to a limited extent carries through to variation in consumption. Fourthly, the effects of shocks to income depend crucially on the timing of shocks. And finally, reducing uncertainty does not reduce poverty significantly, whereas agricultural extension services and cash transfers are more likely to do so.

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Paper provided by School of Economics and Management, University of Aarhus in its series Economics Working Papers with number 2000-7.

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Handle: RePEc:aah:aarhec:2000-7

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Related research
Keywords: agriculture; household model; credit constraints; uncertainty; irreversibility; indivisibility; dynamic programming.;

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Find related papers by JEL classification:
Q12 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Agriculture - - - Micro Analysis of Farm Firms, Farm Households, and Farm Input Markets
O12 - Economic Development, Technological Change, and Growth - - Economic Development - - - Microeconomic Analyses of Economic Development
O13 - Economic Development, Technological Change, and Growth - - Economic Development - - - Agriculture; Natural Resources; Environment; Other Primary Products
D1 - Microeconomics - - Household Behavior
D9 - Microeconomics - - Intertemporal Choice and Growth
C61 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Optimization Techniques; Programming Models; Dynamic Analysis

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  3. Jamsheed Shorish, . "Quasi-Static Macroeconomic Systems," Economics Working Papers 2000-3, School of Economics and Management, University of Aarhus. [Downloadable!]
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  8. Niels Haldrup & Peter Lildholdt, . "On the Robustness of Unit Root Tests in the Presence of Double Unit Roots," Economics Working Papers 2000-1, School of Economics and Management, University of Aarhus. [Downloadable!]
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  9. 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. [Downloadable!] (restricted)
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  10. Graham Elliott & Michael Jansson, . "Testing for Unit Roots with Stationary Covariates," Economics Working Papers 2000-6, School of Economics and Management, University of Aarhus. [Downloadable!]
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  11. Licun Xue, . "A Notion of Consistent Rationalizability - Between Weak and Pearce's Extensive Form Rationalizability," Economics Working Papers 2000-4, School of Economics and Management, University of Aarhus. [Downloadable!]
  12. Jansson, Michael, 2002. "Consistent Covariance Matrix Estimation For Linear Processes," Econometric Theory, Cambridge University Press, vol. 18(06), pages 1449-1459, December. [Downloadable!]
  13. Serven, Luis, 1997. "Irreversibility, Uncertainty and Private Investment: Analytical Issues and Some Lessons for Africa," Journal of African Economies, Oxford University Press, vol. 6(3), pages 229-68, Supplemen.
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  1. Kazianga, Harounan & Masters, William A., 2002. "Property Rights, Production Technology And Deforestation: Cocoa In West Africa," 2002 Annual meeting, July 28-31, Long Beach, CA 19871, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association). [Downloadable!]
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