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Applying Perturbation Methods to Incomplete Market Models with Exogenous Borrowing Constraints

  • Henry Kim
  • Jinill Kim
  • Robert Kollmann

This paper solves an incomplete market model with infinite number of agents and exogenous borrowing constraints described in den Haan, Judd and Juillard (2004). We apply the idea of “barrier methods” to convert optimization problem with borrowing constraints as inequalities into a problem with equality constraints, and the converted model is solved by a second-order perturbation method. The simulation results of impulse responses and second moments match the standardized features of incomplete market models. Accuracy of the solution is in a reasonable range but significantly decreases when the economy is near the borrowing limit or moves away from the steady state.

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File URL: http://ase.tufts.edu/econ/papers/200504.pdf
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Paper provided by Department of Economics, Tufts University in its series Discussion Papers Series, Department of Economics, Tufts University with number 0504.

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Date of creation: 2005
Date of revision:
Handle: RePEc:tuf:tuftec:0504
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Web page: http://ase.tufts.edu/economics

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  1. Kim, Jinill & Kim, Sunghyun Henry, 2003. "Spurious welfare reversals in international business cycle models," Journal of International Economics, Elsevier, vol. 60(2), pages 471-500, August.
  2. Schmitt-Grohe, Stephanie & Uribe, Martin, 2003. "Closing small open economy models," Journal of International Economics, Elsevier, vol. 61(1), pages 163-185, October.
  3. Patrick J. Kehoe & Fabrizio Perri, 2000. "International Business Cycles with Endogenous Incomplete Markets," NBER Working Papers 7870, National Bureau of Economic Research, Inc.
  4. Mendoza, Enrique G, 1991. "Real Business Cycles in a Small Open Economy," American Economic Review, American Economic Association, vol. 81(4), pages 797-818, September.
  5. Fernando Alvarez & Urban J. Jermann, 1999. "Quantitative asset pricing implications of endogenous solvency constraints," Working Papers 99-5, Federal Reserve Bank of Philadelphia.
  6. Felix Kubler & Karl Schmedders, 2000. "Incomplete Markets, Transitory Shocks and Welfare," Levine's Working Paper Archive 2133, David K. Levine.
  7. Christopher A. Sims & Jinill Kim & Sunghyun Kim, 2003. "Calculating and Using Second Order Accurate Solution of Discrete Time Dynamic Equilibrium Models," Computing in Economics and Finance 2003 162, Society for Computational Economics.
  8. Baxter, M. & Crucini, M., 1991. "Business Cycles and the Asset Structure of Foreign Trade," RCER Working Papers 316, University of Rochester - Center for Economic Research (RCER).
  9. Per Krusell & Anthony A. Smith, Jr., . "Income and Wealth Heterogeneity in the Macroeconomy," GSIA Working Papers 1997-37, Carnegie Mellon University, Tepper School of Business.
  10. Kim, Sunghyun Henry & Kose, M. Ayhan, 2003. "Dynamics Of Open-Economy Business-Cycle Models: Role Of The Discount Factor," Macroeconomic Dynamics, Cambridge University Press, vol. 7(02), pages 263-290, April.
  11. David K. Levine & William Zame, 2001. "Does Market Incompleteness Matter," Levine's Working Paper Archive 78, David K. Levine.
  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.
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