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Temporal Aggregation in a Multi-Sector Economy with Endogenous Growth

  • Mercenier, J.
  • Michel, P.

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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File URL: http://hdl.handle.net/1866/2097
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Paper provided by Universite de Montreal, Departement de sciences economiques in its series Cahiers de recherche with number 9540.

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Length: 15 pages
Date of creation: 1995
Date of revision:
Handle: RePEc:mtl:montde:9540
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  1. 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.
  2. 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.
  3. Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
  4. 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.
  5. 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.
  6. repec:ner:tilbur:urn:nbn:nl:ui:12-153334 is not listed on IDEAS
  7. 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.
  8. Lawrence J. Christiano & Jonas D.M. Fisher, 1997. "Algorithms for Solving Dynamic Models with Occasionally Binding Constraints," NBER Technical Working Papers 0218, National Bureau of Economic Research, Inc.
  9. 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.
  10. Lawrence J. Christiano & Martin Eichenbaum & David Marshall, 1990. "The permanent income hypothesis revisited," Staff Report 129, Federal Reserve Bank of Minneapolis.
  11. Burdett, Kenneth & Coles, Melvyn G & van Ours, Jan C, 1994. "Temporal Aggregation Bias in Stock-Flow Models," CEPR Discussion Papers 967, C.E.P.R. Discussion Papers.
  12. 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.
  13. 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.
  14. 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.
  15. 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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