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Temporal aggregation in a multi-sector economy with endogenous growth

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  • Jean Mercenier
  • Philippe Michel

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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  • Jean Mercenier & Philippe Michel, 1995. "Temporal aggregation in a multi-sector economy with endogenous growth," Working Papers 554, Federal Reserve Bank of Minneapolis.
    • Handle: RePEc:fip:fedmwp:554
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    References listed on IDEAS

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    1. 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.
    2. 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.
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    5. 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.
    6. Mercenier, J. & Michel, P., 1991. "Discrete Time Finite Horizon Approximation of Optimal Growth with Steady State Invariance," Cahiers de recherche 9122, Universite de Montreal, Departement de sciences economiques.
    7. 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.
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    9. van Ours, J. C. & Burdett, K. & Coles, M., 1994. "Temporal Aggregation Bias in Stock-Flow Models," Other publications TiSEM 993a7da0-0d67-4900-b529-6, Tilburg University, School of Economics and Management.
    10. Hansen, Lars Peter & Sargent, Thomas J, 1983. "Aggregation over Time and the Inverse Optimal Predictor Problem for Adaptive Expectations in Conginuous Time," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 24(1), pages 1-20, February.
    11. Christiano, Lawrence J., 1985. "A method for estimating the timing interval in a linear econometric model, with an application to Taylor's model of staggered contracts," Journal of Economic Dynamics and Control, Elsevier, vol. 9(4), pages 363-404, December.
    12. Mercenier, J. & Michel, P., 1991. "A Criterion for Time Aggregation Intertemporal Dynamic Models," Cahiers de recherche 9108, Universite de Montreal, Departement de sciences economiques.
    13. Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
    14. Mercenier, Jean & Michel, Philippe, 1994. "Discrete-Time Finite Horizon Appromixation of Infinite Horizon Optimization Problems with Steady-State Invariance," Econometrica, Econometric Society, vol. 62(3), pages 635-656, May.
    15. Sims, Christopher A, 1971. "Discrete Approximations to Continuous Time Distributed Lags in Econometrics," Econometrica, Econometric Society, vol. 39(3), pages 545-563, May.
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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, Jean-Pierre & Favard, Pascal & Gaudet, Gerard & Moreaux, Michel, 1998. "On the Optimal Order of Natural Resource Use When the Capacity of the Inexhaustible Substitute Is Limited," Journal of Economic Theory, Elsevier, vol. 80(1), pages 153-170, May.
    3. 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.
    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. 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.
    6. 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.

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    Keywords

    Economic development;

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