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Investment under Risk with Discrete and Continuous Assets

Author

Listed:
  • Chris Elbers

    (VU University Amsterdam)

  • Jan Willem Gunning

    (VU University Amsterdam)

  • Melinda Vigh

    (VU University Amsterdam)

Abstract

This paper considers a general class of stochastic dynamic choice models with discrete and continuous decision variables. This class contains a variety of models that are useful for modeling intertemporal household decisions under risk. Our examples are drawn from the field of development economics. We formalize this class as a dynamic programming problem, then propose a solution method that relies on value function iteration. Finally, in an example we show how our algorithm can be applied to solve and estimate a dynamic model with discrete and continuous controls.

Suggested Citation

  • Chris Elbers & Jan Willem Gunning & Melinda Vigh, 2009. "Investment under Risk with Discrete and Continuous Assets," Tinbergen Institute Discussion Papers 09-054/2, Tinbergen Institute.
  • Handle: RePEc:tin:wpaper:20090054
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    File URL: http://papers.tinbergen.nl/09054.pdf
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    References listed on IDEAS

    as
    1. Rosenzweig, Mark R & Wolpin, Kenneth I, 1993. "Credit Market Constraints, Consumption Smoothing, and the Accumulation of Durable Production Assets in Low-Income Countries: Investment in Bullocks in India," Journal of Political Economy, University of Chicago Press, vol. 101(2), pages 223-244, April.
    2. Kenneth L. Judd, 1998. "Numerical Methods in Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262100711, January.
    3. Dercon, Stefan, 1998. "Wealth, risk and activity choice: cattle in Western Tanzania," Journal of Development Economics, Elsevier, pages 1-42.
    4. Goffe, William L. & Ferrier, Gary D. & Rogers, John, 1994. "Global optimization of statistical functions with simulated annealing," Journal of Econometrics, Elsevier, vol. 60(1-2), pages 65-99.
    5. Fafchamps, Marcel & Pender, John, 1997. "Precautionary Saving, Credit Constraints, and Irreversible Investment: Theory and Evidence from Semiarid India," Journal of Business & Economic Statistics, American Statistical Association, vol. 15(2), pages 180-194, April.
    6. Zimmerman, Frederick J. & Carter, Michael R., 2003. "Asset smoothing, consumption smoothing and the reproduction of inequality under risk and subsistence constraints," Journal of Development Economics, Elsevier, pages 233-260.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    value function iteration; mixed continuous/discrete controls; stochastic dynamic choice model;

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
    • E12 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Keynes; Keynesian; Post-Keynesian
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • Q12 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Agriculture - - - Micro Analysis of Farm Firms, Farm Households, and Farm Input Markets

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