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La croissance démographique dans les modèles à générations imbriquées

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  • Hippolyte d'Albis

    (EUREQUA - Equipe Universitaire de Recherche en Economie Quantitative - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

Abstract

In this paper, we develop a continuous time overlapping generations model to analyze the relationship between demographic growth rate and the interest rate. We show there exists a finite demographic growth rate that minimizes the interest rate. This implies that the relation between the two variables is not monotonic. We provide a theoretical characterization of the growth rate that minimizes the interest rate and explain why standard overlapping generations models proposed by Diamond [1965] and Blanchard [1985] systematically exhibit an increasing relationship between the demographic growth rate and the interest rate.

Suggested Citation

  • Hippolyte d'Albis, 2003. "La croissance démographique dans les modèles à générations imbriquées," Post-Print hal-00630245, HAL.
    • Handle: RePEc:hal:journl:hal-00630245
    Note: View the original document on HAL open archive server: https://hal.science/hal-00630245
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    1. Andrew B. Abel, 2003. "The Effects of a Baby Boom on Stock Prices and Capital Accumulation in the Presence of Social Security," Econometrica, Econometric Society, vol. 71(2), pages 551-578, March.
    2. David Cass, 1965. "Optimum Growth in an Aggregative Model of Capital Accumulation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 32(3), pages 233-240.
    3. Willem H. Buiter, 1986. "Death, Population Growth, Productivity Growth and Debt Neutrality," NBER Working Papers 2027, National Bureau of Economic Research, Inc.
    4. Boucekkine, Raouf & de la Croix, David & Licandro, Omar, 2002. "Vintage Human Capital, Demographic Trends, and Endogenous Growth," Journal of Economic Theory, Elsevier, vol. 104(2), pages 340-375, June.
    5. Samuelson, Paul A, 1975. "The Optimum Growth Rate for Population," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 16(3), pages 531-538, October.
    6. Antoine Bommier & Ronald D. Lee, 2003. "Overlapping generations models with realistic demography," Journal of Population Economics, Springer;European Society for Population Economics, vol. 16(1), pages 135-160, February.
    7. Blanchard, Olivier J, 1985. "Debt, Deficits, and Finite Horizons," Journal of Political Economy, University of Chicago Press, vol. 93(2), pages 223-247, April.
    8. Weil, Philippe, 1989. "Overlapping families of infinitely-lived agents," Journal of Public Economics, Elsevier, vol. 38(2), pages 183-198, March.
    9. H. Polemarchakis & S. Demichelis, 2002. "Frequency of Trade and the Determinancy of Equilibrium Paths: Logarithmic Economies of Overlapping Generations Under Certainty," Working Papers 2002-16, Brown University, Department of Economics.
    10. Burke, Jonathan L., 1996. "Equilibrium for Overlapping Generations in Continuous Time," Journal of Economic Theory, Elsevier, vol. 70(2), pages 364-390, August.
    11. Ronald Lee, 1980. "Age Structure, Intergenerational Transfers and Economic Growth : an Overview," Revue Économique, Programme National Persée, vol. 31(6), pages 1129-1156.
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    More about this item

    JEL classification:

    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making
    • E13 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Neoclassical
    • J10 - Labor and Demographic Economics - - Demographic Economics - - - General

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