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Inspecting the Mechanism Exactly: A Closed-form Solution to a Stochastic Growth Model

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Author Info
William Smith (University of Memphis)
Abstract

This paper considers the canonical stochastic growth model with CRRA utility and Cobb-Douglas technology. It obtains a closed-form solution for the case where capital's share is equal to the reciprocal of the intertemporal elasticity of substitution. This provides a useful benchmark that illuminates the transmission mechanism under uncertainty. In particular, it highlights the complicated ways in which risk and nonlinearities interact, via Jensen's inequality, to affect the steady state capital stock.

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Publisher Info
Article provided by Berkeley Electronic Press in its journal Contributions to Macroeconomics.

Volume (Year): 7 (2007)
Issue (Month): 1 ()
Pages: 1524-1524
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Handle: RePEc:bep:maccon:v:7:y:2007:i:1:p:1524-1524

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Related research
Keywords: risk growth transmission mechanism

Find related papers by JEL classification:
E1 - Macroeconomics and Monetary Economics - - General Aggregative Models

References listed on IDEAS
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  2. Long, John B, Jr & Plosser, Charles I, 1983. "Real Business Cycles," Journal of Political Economy, University of Chicago Press, vol. 91(1), pages 39-69, February. [Downloadable!] (restricted)
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    Other versions:
  4. Xie, Danyang, 1991. "Increasing Returns and Increasing Rates of Growth," Journal of Political Economy, University of Chicago Press, vol. 99(2), pages 429-35, April. [Downloadable!] (restricted)
  5. Blanchard, Olivier Jean & Mankiw, N Gregory, 1988. "Consumption: Beyond Certainty Equivalence," American Economic Review, American Economic Association, vol. 78(2), pages 173-77, May. [Downloadable!] (restricted)
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  6. Merton, Robert C, 1975. "An Asymptotic Theory of Growth under Uncertainty," Review of Economic Studies, Blackwell Publishing, vol. 42(3), pages 375-93, July. [Downloadable!] (restricted)
    Other versions:
  7. Weil, Philippe, 1990. "Nonexpected Utility in Macroeconomics," The Quarterly Journal of Economics, MIT Press, vol. 105(1), pages 29-42, February. [Downloadable!] (restricted)
  8. Benhabib, Jess & Rustichini, Aldo, 1994. "A note on a new class of solutions to dynamic programming problems arising in economic growth," Journal of Economic Dynamics and Control, Elsevier, vol. 18(3-4), pages 807-813. [Downloadable!] (restricted)
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  10. King, Robert G & Plosser, Charles I & Rebelo, Sergio T, 2002. "Production, Growth and Business Cycles: Technical Appendix," Computational Economics, Springer, vol. 20(1-2), pages 87-116, October. [Downloadable!]
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  11. Smith, William T., 1996. "Taxes, uncertainty, and long-term growth," European Economic Review, Elsevier, vol. 40(8), pages 1647-1664, November. [Downloadable!] (restricted)
  12. Fischer, Stanley, 1975. "The Demand for Index Bonds," Journal of Political Economy, University of Chicago Press, vol. 83(3), pages 509-34, June. [Downloadable!] (restricted)
  13. Raouf, BOUCEKKINE & JosŽ R. , RUIZ-TAMARIT, 2004. "Special functions for the study of economic dynamics : The case of the Lucas-Uzawa model," Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES) Discussion Paper 2004026, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES). [Downloadable!]
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  14. Aiyagari, S. Rao & Christiano, Lawrence J. & Eichenbaum, Martin, 1992. "The output, employment, and interest rate effects of government consumption," Journal of Monetary Economics, Elsevier, vol. 30(1), pages 73-86, October. [Downloadable!] (restricted)
    Other versions:
  15. Beaudry, Paul & van Wincoop, Eric, 1996. "The Intertemporal Elasticity of Substitution: An Exploration Using a US Panel of State Data," Economica, London School of Economics and Political Science, vol. 63(251), pages 495-512, August. [Downloadable!] (restricted)
  16. Judd, Kenneth L. & Guu, Sy-Ming, 1997. "Asymptotic methods for aggregate growth models," Journal of Economic Dynamics and Control, Elsevier, vol. 21(6), pages 1025-1042, June. [Downloadable!] (restricted)
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  18. Xie Danyang, 1994. "Divergence in Economic Performance: Transitional Dynamics with Multiple Equilibria," Journal of Economic Theory, Elsevier, vol. 63(1), pages 97-112, June. [Downloadable!] (restricted)
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  19. Turnovsky, Stephen J. & Grinols, Earl, 1996. "Optimal government finance policy and exchange rate management in a stochastically growing open economy," Journal of International Money and Finance, Elsevier, vol. 15(5), pages 687-716, October. [Downloadable!] (restricted)
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  21. Eaton, Jonathan, 1981. "Fiscal Policy, Inflation and the Accumulation of Risky Capital," Review of Economic Studies, Blackwell Publishing, vol. 48(3), pages 435-45, July. [Downloadable!] (restricted)
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