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Endogenous vs Exogenously Driven Fluctuations in Vintage Capital Models

  • Raouf Boucekkine
  • Fernando del Río
  • Omar Licandro

In this paper, we present a simple vintage capital growth model in which both exogenous and endogenous fluctuations sources are present. Indeed, it can be seen as a particular case of Caballero and Hammour (1996)'s creative destruction model, with advantage that analytical characterization of the short run and asymptotic dynamics is partially allowed. In particular, we show that job creation follows a delayed-differential equation with periodic coefficients. The delay is equal to the optimal age of capital goods, and can be taken as a measureof the periodicity of the endogenous replacement echoes inherent to vintage models. The period of the coefficients is equal to the period of an exogenous profitability cycle. We mathematically show that job creation is asymptotically periodic, with the same period as the profitability cycle. Furthermore using an explicit numerical method, we find that replacement echoes generally dominate the short run dynamics. Finally, we find that the combination of the two fluctuations sources favors the appearance of asymmetries in job creation and job destruction patterns.

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Paper provided by FEDEA in its series Working Papers with number 98-19.

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Handle: RePEc:fda:fdaddt:9819
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  1. Cogley, Timothy & Nason, James M, 1995. "Output Dynamics in Real-Business-Cycle Models," American Economic Review, American Economic Association, vol. 85(3), pages 492-511, June.
  2. Paul, Christopher & Licandro, Omar & Boucekkine, Raouf, 1995. "Differential-difference equations in economics: on the numerical solution of vintage capital growth models," UC3M Working papers. Economics 3951, Universidad Carlos III de Madrid. Departamento de Economía.
  3. R. M. Solow & J. Tobin & C. C. von Weizsäcker & M. Yaari, 1966. "Neoclassical Growth with Fixed Factor Proportions," Review of Economic Studies, Oxford University Press, vol. 33(2), pages 79-115.
  4. Steven J. Davis & John C. Haltiwanger & Scott Schuh, 1998. "Job Creation and Destruction," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262540932, December.
  5. Thomas F. Cooley & Jeremy Greenwood & Mehmet Yorukoglu, 1994. "The Replacement Problem," Working Papers 9408, Centro de Investigacion Economica, ITAM.
  6. Boucekkine, Raouf & Germain, Marc & Licandro, Omar & Magnus, Alphonse, 1998. "Creative Destruction, Investment Volatility, and the Average Age of Capital," Journal of Economic Growth, Springer, vol. 3(4), pages 361-84, December.
  7. Steve J. Davis & John Haltiwanger, 1991. "Gross Job Creation, Gross Job Destruction and Employment Reallocation," NBER Working Papers 3728, National Bureau of Economic Research, Inc.
  8. Ricardo J. Caballero & Mohamad L. Hammour, 1994. "On the Timing and Efficiency of Creative Destruction," NBER Working Papers 4768, National Bureau of Economic Research, Inc.
  9. Benhabib, Jess & Rustichini, Aldo, 1991. "Vintage capital, investment, and growth," Journal of Economic Theory, Elsevier, vol. 55(2), pages 323-339, December.
  10. Licandro, Omar & Germain, Marc & Boucekkine, Raouf, 1996. "Replacement echoes in the vintage capital growth model," UC3M Working papers. Economics 4096, Universidad Carlos III de Madrid. Departamento de Economía.
  11. Grandmont Jean-michel, 1983. "On endogenous competitive business cycles," CEPREMAP Working Papers (Couverture Orange) 8316, CEPREMAP.
  12. van Hilten, Onno, 1991. "The optimal lifetime of capital equipment," Journal of Economic Theory, Elsevier, vol. 55(2), pages 449-454, December.
  13. Kydland, Finn E & Prescott, Edward C, 1982. "Time to Build and Aggregate Fluctuations," Econometrica, Econometric Society, vol. 50(6), pages 1345-70, November.
  14. Wen, Yi, 1998. "Investment cycles," Journal of Economic Dynamics and Control, Elsevier, vol. 22(7), pages 1139-1165, May.
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