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Precautionary Savings and the Permanent Income Hypothesis

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Weil, Philippe

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Abstract

This paper derives the explicit solution of a dynamic stochastic optimal consumption problem for infinitely-lived agents whose preferences exhibit, in the presence of nondiversifiable labor income uncertainty, a constant elasticity of intertemporal substitution and constant absolute risk aversion. The constancy of the elasticity of intertemporal substitution, which implies that marginal utility at zero consumption is infinite, guarantees that the nonnegativity constraint on consumption is never binding along the optimal path. The assumption of constant absolute risk aversion allows an explicit computation of human wealth and provides a simple representation of the precautionary savings motive. Copyright 1993 by The Review of Economic Studies Limited.

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Article provided by Blackwell Publishing in its journal Review of Economic Studies.

Volume (Year): 60 (1993)
Issue (Month): 2 (April)
Pages: 367-83
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Handle: RePEc:bla:restud:v:60:y:1993:i:2:p:367-83

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  1. William T. Smith, 1998. "Birth, Death, And Consumption: Overlapping Generations And The Random Walk Hypothesis," International Economic Journal, Korean International Economic Association, vol. 12(4), pages 105-116, December. [Downloadable!] (restricted)
  2. Christiane Clemens, 2000. "The Impact Of Capital And Income Risk On Long-Run Growth," Computing in Economics and Finance 2000 212, Society for Computational Economics. [Downloadable!]
  3. Femminis, Gianluca, 1999. "On The Optimality of Risk-Sharing in Growth Models: The Role of Education," CEPR Discussion Papers 2264, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
  4. Patrick Toche, 2001. "Keeping Up With the Joneses and Unemployment Risk," Economics Series Working Papers 063, University of Oxford, Department of Economics. [Downloadable!]
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  5. Becker, Torbjörn, 1995. "Government Debt and Private Consumption: Theory and Evidence," Working Paper Series in Economics and Finance 71, Stockholm School of Economics. [Downloadable!]
  6. Susanne Soretz, 2007. "Efficient Dynamic Pollution Taxation in an Uncertain Environment," Environmental & Resource Economics, European Association of Environmental and Resource Economists, vol. 36(1), pages 57-84, January. [Downloadable!] (restricted)
  7. Clemens, Christiane, 1999. "Income Taxation, Government Expenditure, and Long-Run Stochastic Growth," Diskussionspapiere der Wirtschaftswissenschaftlichen Fakultät der Universität Hannover dp-220, Universität Hannover, Wirtschaftswissenschaftliche Fakultät. [Downloadable!]
  8. Douglas W. Elmendorf & Miles S. Kimball, 1996. "Taxation of labor income and the demand for risky assets," Finance and Economics Discussion Series 96-32, Board of Governors of the Federal Reserve System (U.S.). [Downloadable!]
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  9. Miles Kimball & Philippe Weil, 1992. "Precautionary Saving and Consumption Smoothing Across Time and Possibilities," NBER Working Papers 3976, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  10. David Backus & Bryan Routledge & Stanley Zin, 2004. "Exotic Preferences for Macroeconomists," NBER Working Papers 10597, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  11. Ingrid Groessl & Ulrich Fritsche, 2006. "The Store-of-Value-Function of Money as a Component of Household Risk Management," Macroeconomics and Finance Series 200606, Hamburg University, Department Wirtschaft und Politik. [Downloadable!]
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  12. Becker, Torbjörn, 1995. "Budget Deficits, Tax Risk and Consumption," Working Paper Series in Economics and Finance 74, Stockholm School of Economics. [Downloadable!]
  13. Jordi Mondria, 2006. "Financial Contagion and Attention Allocation," Working Papers tecipa-254, University of Toronto, Department of Economics. [Downloadable!]
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  14. Mark Huggett, . "Precautionary Wealth Accumulation: A Positive Third Derivative is not Enough," Working Papers gueconwpa~03-03-11, Georgetown University, Department of Economics. [Downloadable!]
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  15. Abdelhak S. Senhadji, 2000. "How Significant are Departures from Certainty Equivalence? Some Analytical and Empirical Results," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 3(3), pages 597-617, July. [Downloadable!] (restricted)
  16. Clemens, Christiane & Soretz, Susanne, 1997. "Welfare Effects of Income Taxation in a Model of Stochastic Growth," Diskussionspapiere der Wirtschaftswissenschaftlichen Fakultät der Universität Hannover dp-210, Universität Hannover, Wirtschaftswissenschaftliche Fakultät. [Downloadable!]
  17. Mark Huggett, 2001. "Precautionary Wealth Accumulation," Working Papers gueconwpa~03-03-09, Georgetown University, Department of Economics. [Downloadable!]
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  18. Yulei Luo, 2005. "Consumption Dynamics under Information Processing Constraints," Macroeconomics 0505011, EconWPA, revised 03 Jun 2005. [Downloadable!]
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  19. Lars Peter Hansen & Thomas J. Sargent, 2005. "Certainty equivalence and model uncertainty," Proceedings, Board of Governors of the Federal Reserve System (U.S.), pages 17-38. [Downloadable!]
  20. Lars Peter Hansen & Thomas J. Sargent, 2001. "Acknowledging Misspecification in Macroeconomic Theory," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 4(3), pages 519-535, July. [Downloadable!] (restricted)
  21. Lars Peter Hansen & Thomas J. Sargent & Thomas D. Tallarini Jr., 1997. "Robust Permanent Income and Pricing," Levine's Working Paper Archive 596, David K. Levine. [Downloadable!]
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  22. Shin-Yi Chou & Jin-Tan Liu & Cliff J. Huang, 2004. "Health insurance and savings over the life cycle-a semiparametric smooth coefficient estimation," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 19(3), pages 295-322. [Downloadable!]
  23. Clemens, Christiane, 2004. "Growth and Labor Income Risk with Inelastic and Elastic Labor Supply," Diskussionspapiere der Wirtschaftswissenschaftlichen Fakultät der Universität Hannover dp-305, Universität Hannover, Wirtschaftswissenschaftliche Fakultät. [Downloadable!]
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