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A Foundation for the Solution of Consumption-Saving Behavior with Borrowing Constraint and Unbounded Marginal Utility

Author

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  • Eugenio Bobenrieth

    (Departamento de Economía, Universidad de Concepción)

  • Juan Bobenrieth

Abstract

Models of precautionary saving or storage include cases where the marginal value of accumulated balances is unbounded, with an invariant distribution with infinite mean. Based on a uniform continuity argument, we show that a model of saving with bounded marginal value can be used to approximate the unbounded marginal value function, and the quantiles of its invariant distribution, arbitrarily accurately. These results offer a foundation for a strategy for numerical solution of marginal values in cases where they are unbounded, and for derivation of the quantiles of their invariant distributions.
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Suggested Citation

  • Eugenio Bobenrieth & Juan Bobenrieth, 2006. "A Foundation for the Solution of Consumption-Saving Behavior with Borrowing Constraint and Unbounded Marginal Utility," Working Papers 02-2006, Departamento de Economía, Universidad de Concepción.
    • Handle: RePEc:cnc:wpaper:02-2006
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    2. Brian D. Wright, 2012. "International Grain Reserves And Other Instruments to Address Volatility in Grain Markets," The World Bank Research Observer, World Bank, vol. 27(2), pages 222-260, August.
    3. Guerra Vallejos, Ernesto & Bobenrieth Hochfarber, Eugenio & Bobenrieth Hochfarber, Juan & Wright, Brian D., 2021. "Solving dynamic stochastic models with multiple occasionally binding constraints," Economic Modelling, Elsevier, vol. 105(C).
    4. Brian Wright, 2014. "Global Biofuels: Key to the Puzzle of Grain Market Behavior," Journal of Economic Perspectives, American Economic Association, vol. 28(1), pages 73-98, Winter.
    5. Nicolas Legrand, 2019. "The Empirical Merit Of Structural Explanations Of Commodity Price Volatility: Review And Perspectives," Journal of Economic Surveys, Wiley Blackwell, vol. 33(2), pages 639-664, April.

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