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Vintage Capital and the Dynamics of the AK Model

  • Boucekkine, Raouf

    (UNIVERSITE CATHOLIQUE DE LOUVAIN, Institut de Recherches Economiques et Sociales (IRES))

  • Licandro, Omar

    (FEDEA, Spain)

  • Puch, Luis A.

    (U. Complutense)

  • del Rio, Fernando


This paper analyzes the equilibrium dynamics of an AK-type endogenous growth model with vintage capital. The inclusion of vintage capital leads to oscillatory dynamics governed by replacement echoes, which additionally influence the intercept of the balanced growth path. These features, which are in sharp contrast to those from the standard AK model, can contribute to explaining the short-run deviations observed between investment and growth rates time series. To characterize the convergence properties and the dynamics of the model we develop analytical and numerical methods that should be of interest for the general resolution of endogenous growth models with vintage capital.

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Paper provided by Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES) in its series Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) with number 2000009.

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Length: 23
Date of creation: 01 Dec 1999
Date of revision:
Handle: RePEc:ctl:louvir:2000009
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  1. Raouf Boucekkine & Marc Germain & Omar Licandro & Alphonse Magnus, . "Numerical solution by iterative methods of a class on vintage capital models," Working Papers 97-26, FEDEA.
  2. Charles I. Jones, 1995. "Time Series Tests of Endogenous Growth Models," The Quarterly Journal of Economics, Oxford University Press, vol. 110(2), pages 495-525.
  3. Asea, Patrick K. & Zak, Paul J., 1999. "Time-to-build and cycles," Journal of Economic Dynamics and Control, Elsevier, vol. 23(8), pages 1155-1175, August.
  4. Raouf Boucekkine & Marc Germain & Omar Licandro, . "Replacement echoes in the vintage capital growth model," Working Papers 96-16, FEDEA.
  5. Philippe Aghion & Peter Howitt, 1994. "Growth and Unemployment," Review of Economic Studies, Oxford University Press, vol. 61(3), pages 477-494.
  6. Askenazy, Philippe & Le Van, 1997. "A model of optimal growth strategy," CEPREMAP Working Papers (Couverture Orange) 9707, CEPREMAP.
  7. Kocherlakota, Narayana R & Yi, Kei-Mu, 1997. "Is There Endogenous Long-Run Growth? Evidence from the United States and the United Kingdom," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 29(2), pages 235-62, May.
  8. Michel, P., 1980. "On the Transversality Condition in Infinite Horizon Optimal Problems," Cahiers de recherche 8024, Universite de Montreal, Departement de sciences economiques.
  9. Benhabib, Jess & Rustichini, Aldo, 1991. "Vintage capital, investment, and growth," Journal of Economic Theory, Elsevier, vol. 55(2), pages 323-339, December.
  10. Sergio T. Rebelo, 1990. "Long Run Policy Analysis and Long Run Growth," NBER Working Papers 3325, National Bureau of Economic Research, Inc.
  11. Bennett T. McCallum, 1996. "Neoclassical vs. endogenous growth analysis: an overview," Economic Quarterly, Federal Reserve Bank of Richmond, issue Fall, pages 41-71.
  12. Greenwood, J. & Hercowitz, Z. & Krusell, P., 1996. "Long-Run Implications of Investment-Specific Technological Change," RCER Working Papers 420, University of Rochester - Center for Economic Research (RCER).
  13. Raouf, BOUCEKKINE & David, DE LA CROIX & Omar, LICANDRO, 2006. "Vintage Capital," Discussion Papers (ECON - Département des Sciences Economiques) 2006014, Université catholique de Louvain, Département des Sciences Economiques.
  14. Parente Stephen L., 1994. "Technology Adoption, Learning-by-Doing, and Economic Growth," Journal of Economic Theory, Elsevier, vol. 63(2), pages 346-369, August.
  15. Jeremy Greenwood & Boyan Jovanovic, 1998. "Accounting for Growth," NBER Working Papers 6647, National Bureau of Economic Research, Inc.
    • Jeremy Greenwood & Boyan Jovanovic, 2001. "Accounting for Growth," NBER Chapters, in: New Developments in Productivity Analysis, pages 179-224 National Bureau of Economic Research, Inc.
  16. Ellen R. McGrattan, 1998. "A defense of AK growth models," Quarterly Review, Federal Reserve Bank of Minneapolis, issue Fall, pages 13-27.
  17. Gort, M. & Greenwood, J. & Rupert, P., 1998. "Measuring the Rate of Technological Progress in Structures," RCER Working Papers 457, University of Rochester - Center for Economic Research (RCER).
  18. Kocherlakota, Narayana R. & Yi, Kei-Mu, 1995. "Can convergence regressions distinguish between exogenous and endogenous growth models?," Economics Letters, Elsevier, vol. 49(2), pages 211-215, August.
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