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Dynamic Competitive Economies with Complete Markets and Collateral Constraints

  • GOTTARDI, Piero
  • KUBLER, Felix

In this paper we examine the competitive equilibria of a dynamic stochastic economy with complete markets and collateral constraints. We show that, provided both the set of asset payoffs and collateral levels are sufficiently rich, the equilibrium allocations with sequential trades and collateral constraints are equivalent to those obtained in Arrow-Debreu markets subject to a series of appropriate limited pledgeability constraints. We provide sufficient conditions for equilibria to be Pareto efficient and show that when collateral is scarce equilibria are also often constrained inefficient, in the sense that imposing tighter borrowing restrictions can make everybody in the economy better off. We derive sufficient conditions for the existence of Markov equilibria and show that they typically have finite support when there are two agents' types. The model is then tractable and its equilibria can be computed with arbitrary accuracy. We carry outon this basis a quantitative assessment of the risk sharing and efficiency properties ofequilibria.

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Paper provided by European University Institute in its series Economics Working Papers with number ECO2012/17.

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Date of creation: 2012
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Handle: RePEc:eui:euiwps:eco2012/17
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  1. Jonathan Heathcote & Kjetil Storesletten & Giovanni L. Violante, 2009. "Quantitative Macroeconomics with Heterogeneous Households," NBER Working Papers 14768, National Bureau of Economic Research, Inc.
  2. Timothy J. Kehoe & David K. Levine, 1992. "Debt constrained asset markets," Working Papers 445, Federal Reserve Bank of Minneapolis.
  3. John Heaton & Deborah Lucas, 1993. "Evaluating the Effects of Incomplete Markets on Risk Sharing and Asset Pricing," NBER Working Papers 4249, National Bureau of Economic Research, Inc.
  4. Felix Kubler & Karl Schmedders, 2001. "Incomplete Markets, Transitory Shocks, and Welfare," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 4(4), pages 747-766, October.
  5. Felix Kubler & Karl Schmedders, 2001. "Stationary Equilibria in Asset-Pricing Models with Incomplete Markets and Collateral," Discussion Papers 1319, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  6. Kilenthong, Weerachart & Townsend, Robert, 2007. "Market Based, Segregated Exchanges with Default Risk," MPRA Paper 20724, University Library of Munich, Germany, revised 12 Nov 2009.
  7. S. Rao Aiyagari & Mark Gertler, 1999. ""Overreaction" of Asset Prices in General Equilibrium," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 2(1), pages 3-35, January.
  8. Hanno Lustig, 2001. "The Market Price of Aggregate Risk and the Wealth Distribution," Finance 0111004, EconWPA, revised 16 Nov 2001.
  9. Fernando Alvarez & Urban J. Jermann, 2000. "Efficiency, Equilibrium, and Asset Pricing with Risk of Default," Econometrica, Econometric Society, vol. 68(4), pages 775-798, July.
  10. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-45, November.
  11. Timothy J. Kehoe & David K. Levine, 2000. "Liquidity Constrained vs. Debt Constrained Markets," Levine's Working Paper Archive 14, David K. Levine.
  12. Yili Chien & Harold Cole & Hanno Lustig, 2011. "A Multiplier Approach to Understanding the Macro Implications of Household Finance," Review of Economic Studies, Oxford University Press, vol. 78(1), pages 199-234.
  13. Bewley, Truman, 1977. "The permanent income hypothesis: A theoretical formulation," Journal of Economic Theory, Elsevier, vol. 16(2), pages 252-292, December.
  14. Domenico Cuoco & Hua He, 2001. "Dynamic Aggregation and Computation of Equilibria in Finite-Dimensional Economies with Incomplete Financial Markets," Annals of Economics and Finance, Society for AEF, vol. 2(2), pages 265-296, November.
  15. Dan Cao, 2011. "Collateral Shortages, Asset Price and Investment Volatility with Heterogeneous Beliefs," Working Papers gueconwpa~11-11-01, Georgetown University, Department of Economics.
  16. Kubler, Felix & Schmedders, Karl, 2002. "Recursive Equilibria In Economies With Incomplete Markets," Macroeconomic Dynamics, Cambridge University Press, vol. 6(02), pages 284-306, April.
  17. Dana, Rose Anne, 1993. "Existence and Uniqueness of Equilibria When Preferences Are Additively Separable," Econometrica, Econometric Society, vol. 61(4), pages 953-57, July.
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