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Maintenance and investment: complements or substitutes? A reappraisal

  • Raouf Boucekkine
  • Giorgio Fabbri
  • Fausto Gozzi

A benchmark AK optimal growth model with maintenance expenditures and endogenous utilization of capital is considered within an explicit vin- tage capital framework. Scrapping is endogenous, and the model allows for a clean distinction between age and usage dependent capital deprecia- tion and obsolescence. It is also shown that in this set-up past investment profile completely determines the size of current maintenance expendi- tures. Among other findings, a closed-form solution to optimal dynam- ics is provided taking advantage of very recent development in optimal control of infinite dimensional systems. More importantly, and in con- trast to the pre-existing literature, we study investment and maintenance co-movements without any postulated ad-hoc depreciation function. In particular, we find that optimal investment and maintenance do move to- gether in the short-run in response to neutral technological shocks, which seems to be more consistent with the data.

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Paper provided by Business School - Economics, University of Glasgow in its series Working Papers with number 2009_21.

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Date of creation: Apr 2009
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Handle: RePEc:gla:glaewp:2009_21
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  1. BOUCEKKINE, Raouf & DEL RIO, Fernando & MARTINEZ, Blanca, 2006. "Technological progress obsolescence and depreciation," CORE Discussion Papers 2006027, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  2. Sarantis Kalyvitis, 2006. "model: an empirical analysis of aggregate business capital spending with maintenance expenditures," Canadian Journal of Economics, Canadian Economics Association, vol. 39(4), pages 1282-1315, November.
  3. Omar Licandro & Luis A. Puch & J. Ramón Ruiz-Tamarit, . "Optimal Growth under Endogenous Depreciation, Capital Utilization and Maintenance Costs," Working Papers 2000-23, FEDEA.
  4. Fabbri, Giorgio & Gozzi, Fausto, 2008. "Solving optimal growth models with vintage capital: The dynamic programming approach," Journal of Economic Theory, Elsevier, vol. 143(1), pages 331-373, November.
  5. Omar LICANDRO & Luis A. PUCH, 2000. "Capital Utilization, Maintenance Costs and the Business Cycle," Annales d'Economie et de Statistique, ENSAE, issue 58, pages 143-164.
  6. Fabbri, Giorgio & Gozzi, Fausto, 2006. "Vintage Capital in the AK growth model: a Dynamic Programming approach. Extended version," MPRA Paper 7334, University Library of Munich, Germany.
  7. R. Boucekkine & F. del Rio & O. Licandro & Luis A. Puch, 2000. "Vintage Capital and the Dynamics of the AK Model," Econometric Society World Congress 2000 Contributed Papers 0436, Econometric Society.
  8. Askenazy, Philippe & Le Van, Cuong, 1999. "A Model of Optimal Growth Strategy," Journal of Economic Theory, Elsevier, vol. 85(1), pages 24-51, March.
  9. Feldstein, Martin S & Rothschild, Michael, 1974. "Towards an Economic Theory of Replacement Investment," Econometrica, Econometric Society, vol. 42(3), pages 393-423, May.
  10. Karl Whelan, 2002. "Computers, Obsolescence, And Productivity," The Review of Economics and Statistics, MIT Press, vol. 84(3), pages 445-461, August.
  11. BOUCEKKINE, Raouf & RUIZ-TAMARIT Ramon, 2001. "Capital Maintenance and Investment : Complements or Substitutes ?," Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) 2001012, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
  12. Collard, Fabrice & Kollintzas, Tryphon, 2000. "Maintenance, Utilization, and Depreciation along the Business Cycle," CEPR Discussion Papers 2477, C.E.P.R. Discussion Papers.
  13. Pantelis Kalaitzidakis & Sarantis Kalyvitis, 2005. "“New” Public Investment and/or Public Capital Maintenance for Growth? The Canadian Experience," Economic Inquiry, Western Economic Association International, vol. 43(3), pages 586-600, July.
  14. Goetz, Renan-Ulrich & Hritonenko, Natali & Yatsenko, Yuri, 2008. "The optimal economic lifetime of vintage capital in the presence of operating costs, technological progress, and learning," Journal of Economic Dynamics and Control, Elsevier, vol. 32(9), pages 3032-3053, September.
  15. Nickell, Stephen, 1975. "A closer look at replacement investment," Journal of Economic Theory, Elsevier, vol. 10(1), pages 54-88, February.
  16. Cagri Saglam & Vladimir M. Veliov, 2008. "Role of Endogenous Vintage Specific Depreciation in the Optimal Behavior of Firms," International Journal of Economic Theory, The International Society for Economic Theory, vol. 4(3), pages 381-410.
  17. Kalaitzidakis, Pantelis & Kalyvitis, Sarantis, 2004. "On the macroeconomic implications of maintenance in public capital," Journal of Public Economics, Elsevier, vol. 88(3-4), pages 695-712, March.
  18. Ellen R. McGrattan & James A. Schmitz, Jr., 1999. "Maintenance and repair: too big to ignore," Quarterly Review, Federal Reserve Bank of Minneapolis, issue Fall, pages 2-13.
  19. Hartl, Richard, 1983. "Optimal maintenance and production rates for a machine : A nonlinear economic control problem," Journal of Economic Dynamics and Control, Elsevier, vol. 6(1), pages 281-306, September.
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