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A Closed-Form Solution for a Model of Precautionary Saving

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Author Info
van der Ploeg, Frederick

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Abstract

This paper analyzes life-cycle consumption plans and distinguishes between temporal risk aversion and intertemporal substitution. The results assume that felicity functions are quadratic and that income follows a linear model with normally distributed errors. Stochastic dynamic programming then yields closed-loop linear decision rules. Certainty equivalence no longer holds but instead households play a min-max strategy against nature. One finds a rationale for precautionary saving and a larger sensitivity of changes in consumption to income innovations. Copyright 1993 by The Review of Economic Studies Limited.

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

Volume (Year): 60 (1993)
Issue (Month): 2 (April)
Pages: 385-95
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Handle: RePEc:bla:restud:v:60:y:1993:i:2:p:385-95

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  1. Frederick van der Ploeg, 2007. "Prudent Budgetary Policy: Political Economy of Precautionary Taxation," CESifo Working Paper Series CESifo Working Paper No. , CESifo Group Munich. [Downloadable!]
    Other versions:
  2. van der Ploeg, Frederick, 2004. "Prudent Monetary Policy: Applications of Cautious LQG Control and Prediction," CEPR Discussion Papers 4222, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
  3. Kimball, Miles S & Weil, Philippe, 2003. "Precautionary Saving and Consumption Smoothing Across Time and Possibilities," CEPR Discussion Papers 4005, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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  4. Frederick van der Ploeg, 2007. "Prudent Monetary Policy and Cautious Prediction of the Output Gap," Economics Working Papers ECO2007/40, European University Institute. [Downloadable!]
  5. Bergman, Michael, 2000. "The 'Expansionary Fiscal Contraction Hypothesis' and Uncertainty About the Permanence of Fiscal Consolidations," Working Papers 2000:2, Lund University, Department of Economics. [Downloadable!]
  6. 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!]
    Other versions:
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