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Recursive equilibria in an Aiyagari style economy with permanent income shocks

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  • Kuhn, Moritz

Abstract

In this paper, we prove the existence of a recursive competitive equilibrium (RCE) for an Aiyagari style economy with permanent income shocks and perpetual youth structure. We show that there exist equilibria where borrowing constraints are never binding. This allows us to establish a non-trivial lower bound on the equilibrium interest rate. To solve the individual’s problem, we present a new approach that uses lattices of consumption functions to deal with the non-compact state space and the unbounded utility function. The approach uses only the first order conditions of the problem (Euler equations). The proof is constructive and it serves as a theoretical foundation for the convergence of a policy function iteration procedure.

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File URL: http://mpra.ub.uni-muenchen.de/32323/
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Bibliographic Info

Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 32323.

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Date of creation: 12 Dec 2008
Date of revision: 09 Dec 2009
Handle: RePEc:pra:mprapa:32323

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Keywords: Permanent income shocks; incomplete markets; dynamic general equilibrium; heterogeneous agents;

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  2. Telmer, Chris I, 1993. " Asset-Pricing Puzzles and Incomplete Markets," Journal of Finance, American Finance Association, vol. 48(5), pages 1803-32, December.
  3. Tom Krebs, 2002. "Non-Existence of Recursive Equilibria on Compact State Spaces When Markets are Incomplete," Working Papers 2002-17, Brown University, Department of Economics.
  4. John Stachurski & Cuong Le Van, 2004. "Parametric continuity of stationary distributions," Cahiers de la Maison des Sciences Economiques b04059, Université Panthéon-Sorbonne (Paris 1).
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  18. Rabault, Guillaume, 2002. "When do borrowing constraints bind? Some new results on the income fluctuation problem," Journal of Economic Dynamics and Control, Elsevier, vol. 26(2), pages 217-245, February.
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  20. Huggett, Mark & Ospina, Sandra, 2001. "Aggregate precautionary savings: when is the third derivative irrelevant?," Journal of Monetary Economics, Elsevier, vol. 48(2), pages 373-396, October.
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  22. repec:hal:journl:halshs-00101157 is not listed on IDEAS
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