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Constrained efficiency in the neoclassical growth model with uninsurable idiosyncratic shocks

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Author Info

  • Julio Davila

    ()
    (CERMSEM, University of Pennsylvania et ECARES (ULB))

  • Jay H. Hong

    ()
    (University of Pennsylvania)

  • Per Krusell

    ()
    (Princeton University, IIES et CAERP)

  • José-Victor Rios Rull

    ()
    (University of Pennsylvania et CAERP)

Abstract

We investigate the welfare properties of the one-sector neoclassic growth model with uninsurable idiosyncratic shocks. We focus on the constrained efficiency notion of the general equilibrium literature, and we demonstrate constrained inefficiency for our model. We provide a characterization of constrained efficiency that uses the first-order condition of a constrained planner's problem that points to the margins of relevance for whether capital is too high or too low : the income composition of the (consumption) poor. We calibrate our benchmark model parameters governing idiosyncratic risks to the U.S. earnings and wealth distribution, and for this distribution the income of the poor is mainly composed of labor earnings. We compute the constrained-efficient allocations -including transition dynamics- for our model economy, and we conclude that the long-run capital stock in a laissez faire world is not only too low, but much too low. We also show that one can find parameterizations with different qualitative features : in one case, the steady-state capital stock is too high, and in another case no steady state exists.

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File URL: ftp://mse.univ-paris1.fr/pub/mse/cahiers2005/B05066.pdf
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Bibliographic Info

Paper provided by Université Panthéon-Sorbonne (Paris 1) in its series Cahiers de la Maison des Sciences Economiques with number b05066.

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Length: 52 pages
Date of creation: Jul 2005
Date of revision:
Handle: RePEc:mse:wpsorb:b05066

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Keywords: Constrained efficiency; idiosyncratic risk; neoclassical growth model.;

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  1. Diaz, Antonia & Pijoan-Mas, Josep & Rios-Rull, Jose-Victor, 2003. "Precautionary savings and wealth distribution under habit formation preferences," Journal of Monetary Economics, Elsevier, vol. 50(6), pages 1257-1291, September.
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