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Computing General Equilibrium Models with Occupational Choice and Financial Frictions

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Author Info
António Antunes () (Banco de Portugal, Departamento de Estudos Economicos, and Faculdade de Economia, Universidade Nova de Lisboa)
Tiago Cavalcanti () (Departamento de Economia, Universidade Federal de Pernambuco, INOVA, Faculdade de Economia, Universi-dade Nova de Lisboa.)
Anne Villamil () (Department of Economics, University of Illinois at Urbana- Champaign)

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Abstract

This paper establishes the existence of a stationary equilibrium and a procedure to compute solutions to a class of dynamic general equilibrium models with two important features. First, occupational choice is determined endogenously as a function of heterogeneous agent type, which is defined by an agent's managerial ability and capital bequest. Heterogeneous ability is exogenous and independent across generations. In contrast, bequests link generations and the distribution of bequests evolves endogenously. Second, there is a financial market for capital loans with a deadweight intermediation cost and a repayment incentive constraint. The incentive constraint induces a non-convexity. The paper proves that the competitive equilibrium can be characterized by the bequest distribution and factor prices, and uses the monotone mixing condition to ensure that the stationary bequest distribution that arises from the agent's optimal behavior across generations exists and is unique. The paper next constructs a direct, non-parametric approach to compute the stationary solution. The method reduces the domain of the policy function, thus reducing the computational complexity of the problem.

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Paper provided by National University of Singapore, Department of Economics, SCAPE in its series SCAPE Policy Research Working Paper Series with number 0611.

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Length: 33 pages
Date of creation: May 2006
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Handle: RePEc:sca:scaewp:0611

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Related research
Keywords: Existence; Computation; Dynamic general equilibrium; Non-convexity;

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Find related papers by JEL classification:
C62 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Existence and Stability Conditions of Equilibrium
C63 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Computational Techniques
E60 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - General
G38 - Financial Economics - - Corporate Finance and Governance - - - Government Policy and Regulation

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References listed on IDEAS
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. António Antunes & Tiago Cavalcanti & Anne Villamil, 2006. "The Effect of Financial Repression & Enforcement on Entrepreneurship and Economic Development," SCAPE Policy Research Working Paper Series 0610, National University of Singapore, Department of Economics, SCAPE. [Downloadable!]
  2. Elisabeth Huybens & Gaetano Antinolfi, 1998. "Capital accumulation and real exchange rate behavior in a small open economy with credit market frictions," Economic Theory, Springer, vol. 12(3), pages 461-488. [Downloadable!] (restricted)
    Other versions:
  3. Caroline Betts & Joydeep Bhattacharya, 1998. "Unemployment, credit rationing, and capital accumulation: a tale of two frictions," Economic Theory, Springer, vol. 12(3), pages 489-517. [Downloadable!] (restricted)
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  4. Amaral, Pedro S. & Quintin, Erwan, 2006. "A competitive model of the informal sector," Journal of Monetary Economics, Elsevier, vol. 53(7), pages 1541-1553, October. [Downloadable!] (restricted)
  5. Antunes, Antonio R. & Cavalcanti, Tiago V. de V., 2007. "Start up costs, limited enforcement, and the hidden economy," European Economic Review, Elsevier, vol. 51(1), pages 203-224, January. [Downloadable!] (restricted)
  6. Bruce D. Smith & John H. Boyd, 1998. "The evolution of debt and equity markets in economic development," Economic Theory, Springer, vol. 12(3), pages 519-560. [Downloadable!] (restricted)
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  7. Krasa, Stefan & Sharma, Tridib & Villamil, Anne P., 2005. "Debt contracts and cooperative improvements," Journal of Mathematical Economics, Elsevier, vol. 41(7), pages 857-874, November. [Downloadable!] (restricted)
  8. Stokey, Nancy L, 1988. "Learning by Doing and the Introduction of New Goods," Journal of Political Economy, University of Chicago Press, vol. 96(4), pages 701-17, August. [Downloadable!] (restricted)
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  9. Hopenhayn, Hugo A & Prescott, Edward C, 1992. "Stochastic Monotonicity and Stationary Distributions for Dynamic Economies," Econometrica, Econometric Society, vol. 60(6), pages 1387-406, November. [Downloadable!] (restricted)
  10. Andres Erosa, 2001. "Financial Intermediation and Occupational Choice in Development," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 4(2), pages 303-334, April. [Downloadable!] (restricted)
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  11. Kehoe, Timothy J & Levine, David K, 1993. "Debt-Constrained Asset Markets," Review of Economic Studies, Blackwell Publishing, vol. 60(4), pages 865-88, October. [Downloadable!] (restricted)
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  12. Krasa, Stefan & Yannelis, Nicholas C, 1994. "An Elementary Proof of the Knaster-Kuratowski-Mazurkiewicz-Shapley Theorem," Economic Theory, Springer, vol. 4(3), pages 467-71, May.
  13. Banerjee, Abhijit V & Newman, Andrew F, 1993. "Occupational Choice and the Process of Development," Journal of Political Economy, University of Chicago Press, vol. 101(2), pages 274-98, April. [Downloadable!] (restricted)
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  14. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-45, November. [Downloadable!] (restricted)
  15. John Stachurski, 2005. "Computing the Distributions of Economic Models Via Simulation," Department of Economics - Working Papers Series 949, The University of Melbourne. [Downloadable!]
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  16. Stefan Krasa & Anne P. Villamil, 2000. "Optimal Contracts when Enforcement Is a Decision Variable," Econometrica, Econometric Society, vol. 68(1), pages 119-134, January.
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  1. António Antunes & Tiago Cavalcanti & Anne Villamil, 2006. "The Effect of Financial Repression & Enforcement on Entrepreneurship and Economic Development," SCAPE Policy Research Working Paper Series 0610, National University of Singapore, Department of Economics, SCAPE. [Downloadable!]
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