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Savings behavior with imperfect capital markets: when hyperbolic discounting leads to discontinuous strategies

This paper provides a detailed study of a simple life-cycle consumption model with quasi-hyperbolic discounting and an imperfect financial market. It gives a complete characterization of savings behaviors. The joint assumptions of quasi-hyperbolic discount factors and no-borrowing constraints may lead to non-convexities in selves' objective functions that may imply discontinuous equilibrium strategies. Savings function may undergo jumps and non-momotonicities when the income or the interest rate reach a threshold value. These "anomalies" may exist even for reasonable parameters values.

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File URL: ftp://mse.univ-paris1.fr/pub/mse/CES2011/11028.pdf
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Paper provided by Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne in its series Documents de travail du Centre d'Economie de la Sorbonne with number 11028.

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Length: 30 pages
Date of creation: Apr 2011
Date of revision:
Handle: RePEc:mse:cesdoc:11028
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  1. Laibson, David, 1998. "Life-cycle consumption and hyperbolic discount functions," European Economic Review, Elsevier, vol. 42(3-5), pages 861-871, May.
  2. Laibson, David, 1997. "Golden Eggs and Hyperbolic Discounting," The Quarterly Journal of Economics, MIT Press, vol. 112(2), pages 443-77, May.
  3. Wigniolle, Bertrand, 2012. "Savings behavior with imperfect capital markets: When hyperbolic discounting leads to discontinuous strategies," Economics Letters, Elsevier, vol. 116(2), pages 186-189.
  4. Harris, Christopher & Laibson, David, 2001. "Dynamic Choices of Hyperbolic Consumers," Econometrica, Econometric Society, vol. 69(4), pages 935-57, July.
  5. Bertrand Wigniolle, 2013. "Fertility in the absence of self-control," PSE - Labex "OSE-Ouvrir la Science Economique" halshs-00823264, HAL.
  6. Favero, Carlo A., 2005. "Consumption, Wealth, the Elasticity of Intertemporal Substitution and Long-Run Stock Market Returns," CEPR Discussion Papers 5110, C.E.P.R. Discussion Papers.
  7. repec:hal:journl:halshs-00594060 is not listed on IDEAS
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