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Applying Perturbation Methods to Incomplete Market Models with Exogenous Borrowing Constraints

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Author Info
Henry Kim
Jinill Kim
Robert Kollmann

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Abstract

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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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
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Handle: RePEc:tuf:tuftec:0504

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Related research
Keywords: perturbation; barrier method; borrowing constraint; incomplete market; accuracy.;

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Find related papers by JEL classification:
C63 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Computational Techniques
C68 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Computable General Equilibrium Models
C88 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - Other Computer Software
F41 - International Economics - - Macroeconomic Aspects of International Trade and Finance - - - Open Economy Macroeconomics

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  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. [Downloadable!] (restricted)
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  2. Felix Kubler & Karl Schmedders, 2000. "Incomplete Markets, Transitory Shocks and Welfare," Levine's Working Paper Archive 2133, David K. Levine. [Downloadable!]
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  3. Patrick J. Kehoe & Fabrizio Perri, 2000. "International business cycles with endogenous incomplete markets," Staff Report 265, Federal Reserve Bank of Minneapolis. [Downloadable!]
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  4. Per Krusell & Anthony A. Smith & Jr., 1998. "Income and Wealth Heterogeneity in the Macroeconomy," Journal of Political Economy, University of Chicago Press, vol. 106(5), pages 867-896, October. [Downloadable!] (restricted)
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  5. 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. [Downloadable!]
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  6. Fernando Alvarez & Urban J. Jermann, . "Quantitative Asset Pricing Implications of Endogenous Solvency Constraints," Rodney L. White Center for Financial Research Working Papers 10-99, Wharton School Rodney L. White Center for Financial Research. [Downloadable!]
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  7. David K. Levine & William Zame, 2001. "Does Market Incompleteness Matter," Levine's Working Paper Archive 78, David K. Levine. [Downloadable!]
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  8. 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. [Downloadable!] (restricted)
  9. Stephanie Schmitt-Grohe & Martin Uribe, 2002. "Closing Small Open Economy Models," NBER Working Papers 9270, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  10. Baxter, Marianne & Crucini, Mario J, 1995. "Business Cycles and the Asset Structure of Foreign Trade," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 36(4), pages 821-54, November. [Downloadable!] (restricted)
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  11. 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. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Gilbert E. Metcalf & Jongsang Park, 2005. "A Comment on the Role of Prices for Excludable Public Goods," Discussion Papers Series, Department of Economics, Tufts University 0524, Department of Economics, Tufts University. [Downloadable!]
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  2. Levent Bulut, 2007. "External Debts and Current Account Adjustments," Emory Economics 0716, Department of Economics, Emory University (Atlanta). [Downloadable!]
  3. Andrea Pescatori, 2007. "Incomplete markets and households’ exposure to interest rate and inflation risk: implications for the monetary policy maker," Working Paper 0709, Federal Reserve Bank of Cleveland. [Downloadable!]
  4. Darlene C. Chisholm & Margaret S. McMillan & George Norman, 2005. "Product Differentiation and Film Programming Choice: Do First-Run Movie Theatres Show the Same Films?," Discussion Papers Series, Department of Economics, Tufts University 0523, Department of Economics, Tufts University. [Downloadable!]
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  5. Yannis M. Ioannides & Adriaan R. Soetevent, 2005. "Social Networking and Individual Outcomes Beyond the Mean Field Case," Discussion Papers Series, Department of Economics, Tufts University 0521, Department of Economics, Tufts University. [Downloadable!]
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  6. Michael Reiter, 2006. "Solving Heterogeneous-Agent Models by Projection and Perturbation," Economics Working Papers 972, Department of Economics and Business, Universitat Pompeu Fabra. [Downloadable!]
  7. Antoni Calvo-Armengol & Yannis M. Ioannides, 2005. "Social Networks in Labor Markets," Discussion Papers Series, Department of Economics, Tufts University 0517, Department of Economics, Tufts University. [Downloadable!]
  8. Darlene Chisholm & George Norman, 2005. "When to Exit a Product: Evidence from the U.S. Motion-Pictures Exhibition Market," Discussion Papers Series, Department of Economics, Tufts University 0522, Department of Economics, Tufts University. [Downloadable!]
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