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Endogenous vs Exogenously Driven Fluctuations in Vintage Capital Models

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

Abstract

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 measure of 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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Bibliographic Info

Article provided by Elsevier in its journal Journal of Economic Theory.

Volume (Year): 88 (1999)
Issue (Month): 1 (September)
Pages: 161-187

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Handle: RePEc:eee:jetheo:v:88:y:1999:i:1:p:161-187

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Web page: http://www.elsevier.com/locate/inca/622869

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  1. Jess Benhabib & Aldo Rustichini, 1990. "Vintage Capital, Investment and Growth," Discussion Papers 886, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  2. 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.
  3. Cooley, T.F. & Greenwood, J. & Yorukoglu, M., 1995. "The Replacement Problem," UWO Department of Economics Working Papers 9508, University of Western Ontario, Department of Economics.
  4. 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.
  5. Grandmont, Jean-Michel, 1985. "On Endogenous Competitive Business Cycles," Econometrica, Econometric Society, vol. 53(5), pages 995-1045, September.
  6. BOUCEKKINE, Raouf & GERMAIN, Marc & LICANDRO, Omar & MAGNUS, Alphonse, . "Creative destruction, investment volatility, and the average age of capital," CORE Discussion Papers RP -1376, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  7. 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.
  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. 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.
  10. Wen, Yi, 1998. "Investment cycles," Journal of Economic Dynamics and Control, Elsevier, vol. 22(7), pages 1139-1165, May.
  11. Kydland, Finn E & Prescott, Edward C, 1982. "Time to Build and Aggregate Fluctuations," Econometrica, Econometric Society, vol. 50(6), pages 1345-70, November.
  12. 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).
  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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