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Recursive equilibria in an Aiyagari style economy with permanent income shocks

Listed author(s):
  • Kuhn, Moritz

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: https://mpra.ub.uni-muenchen.de/32323/1/MPRA_paper_32323.pdf
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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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  1. Jonathan Heathcote & Kjetil Storesletten & Giovanni L. Violante, 2014. "Consumption and Labor Supply with Partial Insurance: An Analytical Framework," American Economic Review, American Economic Association, vol. 104(7), pages 2075-2126, July.
  2. Wilbur John Coleman, 1989. "Equilibrium in a production economy with an income tax," International Finance Discussion Papers 366, Board of Governors of the Federal Reserve System (U.S.).
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  8. Constantinides, George M & Duffie, Darrell, 1996. "Asset Pricing with Heterogeneous Consumers," Journal of Political Economy, University of Chicago Press, vol. 104(2), pages 219-240, April.
  9. S. Rao Aiyagari, 1994. "Uninsured Idiosyncratic Risk and Aggregate Saving," The Quarterly Journal of Economics, Oxford University Press, vol. 109(3), pages 659-684.
  10. Miao, Jianjun, 2006. "Competitive equilibria of economies with a continuum of consumers and aggregate shocks," Journal of Economic Theory, Elsevier, vol. 128(1), pages 274-298, May.
  11. Tom Krebs, 2005. "Job Displacement Risk and the Cost of Business Cycles," 2005 Meeting Papers 188, Society for Economic Dynamics.
  12. Huggett, Mark, 1993. "The risk-free rate in heterogeneous-agent incomplete-insurance economies," Journal of Economic Dynamics and Control, Elsevier, vol. 17(5-6), pages 953-969.
  13. 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.
  14. Edward J. Green, 1994. "Individual Level Randomness in a Nonatomic Population," GE, Growth, Math methods 9402001, EconWPA.
  15. Christopher D. Carroll & Miles S. Kimball, 1995. "On the concavity of the consumption function," Finance and Economics Discussion Series 95-10, Board of Governors of the Federal Reserve System (U.S.).
  16. Krebs, Tom, 2004. "Non-existence of recursive equilibria on compact state spaces when markets are incomplete," Journal of Economic Theory, Elsevier, vol. 115(1), pages 134-150, March.
  17. Richard Blundell & Luigi Pistaferri & Ian Preston, 2004. "Consumption inequality and partial insurance," IFS Working Papers W04/28, Institute for Fiscal Studies.
  18. Telmer, Chris I, 1993. " Asset-Pricing Puzzles and Incomplete Markets," Journal of Finance, American Finance Association, vol. 48(5), pages 1803-1832, December.
  19. Duffie, Darrell, et al, 1994. "Stationary Markov Equilibria," Econometrica, Econometric Society, vol. 62(4), pages 745-781, July.
  20. Carroll, Christopher D. & Samwick, Andrew A., 1997. "The nature of precautionary wealth," Journal of Monetary Economics, Elsevier, vol. 40(1), pages 41-71, September.
  21. 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.
  22. repec:hal:journl:halshs-00101157 is not listed on IDEAS
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