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Temporal aggregation in a multi-sector economy with endogenous growth

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  • Mercenier, Jean
  • Michel, Philippe

Abstract

We provide a theoretical treatment of temporal aggregation in models that exhibit long-term endogenously-generated steady growth; hence generalizing our previous analysis (Econometrica 62, 1994, pp. 635-56). We introduce the property of steady-growth invariance - that the long-term growth of the continuous-time economy not be affected by the discretization - which imposes consistency restrictions on the joint formulation of preferences and stock accumulation of the discrete-time approximation. We establish, under mild conditions, these restrictions in the form of necessary and sufficient conditions on the discretization.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Economic Dynamics and Control.

Volume (Year): 25 (2001)
Issue (Month): 8 (August)
Pages: 1179-1191

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Handle: RePEc:eee:dyncon:v:25:y:2001:i:8:p:1179-1191

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  1. Caballe, Jordi & Santos, Manuel S, 1993. "On Endogenous Growth with Physical and Human Capital," Journal of Political Economy, University of Chicago Press, vol. 101(6), pages 1042-67, December.
  2. Lawrence J. Christiano., 1985. "A method for estimating the timing interval in a linear econometric model, with an application to Taylor's model of staggered contracts," Staff Report 101, Federal Reserve Bank of Minneapolis.
  3. Lars Peter Hansen & Thomas J. Sargent, 1981. "Aggregation over time and the inverse optimal predictor problem for adaptive expectations in continuous time," Staff Report 74, Federal Reserve Bank of Minneapolis.
  4. Christiano, Lawrence J. & Eichenbaum, Martin, 1987. "Temporal aggregation and structural inference in macroeconomics," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 26(1), pages 63-130, January.
  5. Mercenier, j. & michel, p., 1991. "Discrete Time Finite Horizon Approximation of Optimal Growth With Steady State Invariance," Cahiers de recherche 9122, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  6. Lawrence J. Christiano & Jonas D.M. Fisher, 1997. "Algorithms for solving dynamic models with occasionally binding constraints," Working Paper 9711, Federal Reserve Bank of Cleveland.
  7. Eric W. Bond & Ping Wang & Chong K. Yip, 1993. "A general two sector model of endogenous growth with human and physical capital," Research Paper 9303, Federal Reserve Bank of Dallas.
  8. Mercenier, J. & Michel, P., 1991. "A Criterion For Time Aggregation Intertemporal Dynamic Models," Cahiers de recherche 9108, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  9. Christiano, Lawrence J & Eichenbaum, Martin & Marshall, David, 1991. "The Permanent Income Hypothesis Revisited," Econometrica, Econometric Society, vol. 59(2), pages 397-423, March.
  10. Ours, J. C. van & Burdett, K. & Coles, M., 1994. "Temporal Aggregation Bias in Stock-Flow Models," Open Access publications from Tilburg University urn:nbn:nl:ui:12-153334, Tilburg University.
  11. Jones, Larry E & Manuelli, Rodolfo E & Rossi, Peter E, 1993. "Optimal Taxation in Models of Endogenous Growth," Journal of Political Economy, University of Chicago Press, vol. 101(3), pages 485-517, June.
  12. Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
  13. McGrattan, Ellen R., 1996. "Solving the stochastic growth model with a finite element method," Journal of Economic Dynamics and Control, Elsevier, vol. 20(1-3), pages 19-42.
  14. Lars Peter Hansen & Thomas J. Sargent, 1980. "Methods for estimating continuous time Rational Expectations models from discrete time data," Staff Report 59, Federal Reserve Bank of Minneapolis.
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Cited by:
  1. Gustavo Gonzaga & Maria Cristina Terra & Jorge Cavalcante, 1997. "O impacto do Mercosul sobre o emprego setorial no Brasil," Textos para discussão 382, Department of Economics PUC-Rio (Brazil).
  2. Amigues, J-P & Favard, P & Gaudet, G & Moreaux, M, 1996. "On the Optimal Order of Natural Resource Use When the Capacity of the Inexhaustible Substitute is Limited," Cahiers de recherche 9628, Universite de Montreal, Departement de sciences economiques.
  3. Alemdar, Nedim M. & Sirakaya, Sibel & Husseinov, Farhad, 2006. "Optimal time aggregation of infinite horizon control problems," Journal of Economic Dynamics and Control, Elsevier, vol. 30(4), pages 569-593, April.
  4. Ragni, Stefania & Diele, Fasma & Marangi, Carmela, 2010. "Steady-state invariance in high-order Runge-Kutta discretization of optimal growth models," Journal of Economic Dynamics and Control, Elsevier, vol. 34(7), pages 1248-1259, July.
  5. Touhami, A. & Martens, A., 1996. "Macroemesures in Computable General Equilibrium Models: a Probabilistic Treatment with an Application to Morocco," Cahiers de recherche 9621, Universite de Montreal, Departement de sciences economiques.
  6. Rutherford, Thomas F. & Tarr, David G., 1998. "Trade liberalization and endogenous growth in a small open economy : a quantitative assessment," Policy Research Working Paper Series 1970, The World Bank.

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