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Endogenous vs exogenously driven fluctuations in vintage capital models

  • Boucekkine, Raouf
  • Del Rio, Fernando
  • Licandro, Omar

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 CEPREMAP in its series CEPREMAP Working Papers (Couverture Orange) with number 9901.

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Length: 26 pages
Date of creation: 1999
Date of revision:
Handle: RePEc:cpm:cepmap:9901
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  1. Kydland, Finn E & Prescott, Edward C, 1982. "Time to Build and Aggregate Fluctuations," Econometrica, Econometric Society, vol. 50(6), pages 1345-70, November.
  2. Cooley, T.F. & Greenwood, J. & Yorukoglu, M., 1997. "The Replacement Problem," RCER Working Papers 444, University of Rochester - Center for Economic Research (RCER).
  3. Davis, Steven J & Haltiwanger, John C, 1992. "Gross Job Creation, Gross Job Destruction, and Employment Reallocation," The Quarterly Journal of Economics, MIT Press, vol. 107(3), pages 819-63, August.
  4. Grandmont Jean-michel, 1983. "On endogenous competitive business cycles," CEPREMAP Working Papers (Couverture Orange) 8316, CEPREMAP.
  5. Boucekkine, R. & Germain, M. & Licandro, O., . "Replacement echoes in the vintage capital growth model," CORE Discussion Papers RP 1275, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  6. Boucekkine, Raouf, et al, 1998. " Creative Destruction, Investment Volatility, and the Average Age of Capital," Journal of Economic Growth, Springer, vol. 3(4), pages 361-84, December.
  7. Wen, Yi, 1998. "Investment cycles," Journal of Economic Dynamics and Control, Elsevier, vol. 22(7), pages 1139-1165, May.
  8. Timothy Cogley & James M. Nason, 1993. "Output dynamics in real business cycle models," Working Papers in Applied Economic Theory 93-10, Federal Reserve Bank of San Francisco.
  9. Jess Benhabib & Aldo Rustichini, 1990. "Vintage Capital, Investment and Growth," Discussion Papers 886, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  10. Raouf Boucekkine & Omar Licandro & Christopher Paul, . "Differential-Difference Equations in Economics: On the Numerical Solution of Vintage Capital Growth Models," Computing in Economics and Finance 1996 _036, Society for Computational Economics.
  11. Caballero, Ricardo J & Hammour, Mohamad L, 1996. "On the Timing and Efficiency of Creative Destruction," The Quarterly Journal of Economics, MIT Press, vol. 111(3), pages 805-52, August.
  12. 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, June.
  13. van Hilten, Onno, 1991. "The optimal lifetime of capital equipment," Journal of Economic Theory, Elsevier, vol. 55(2), pages 449-454, December.
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