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Maintenance and investment : Complements or Substitutes ? A Reappraisal

Author

Listed:
  • Raouf BOUCEKKINE

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

  • Giorgio FABBRI

    (UNIVERSITA DI NAPOLI, Dipartimento di Studi Economici, “Parthenope”)

  • Fausto GOZZI

    (UNIVERSITA LUISS-GUIDO CARLI ROME, Dipartimento di Scienze Economiche ed Aziendali)

Abstract

A benchmark AK optimal growth model with maintenance expenditures and endogeneous utilization of capital is considered within an explicit vintage capital framework. Scrapping is endogenous, and the model allows for a clean distinction between age and usage dependent capital depreciation and obsolescence. It is also shown that in this set-up past investment profile completely determines the size of current maintenance expenditures. Among other findings, a closed-form solution to optimal dynamics is provided taking advantage of very recent development in optimal control of infinite dimensional systems. More importantly, and in contrast 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 together in the short-run in response to neutral technological shocks, which seems to be more consistent with the data

Suggested Citation

  • Raouf BOUCEKKINE & Giorgio FABBRI & Fausto GOZZI, 2009. "Maintenance and investment : Complements or Substitutes ? A Reappraisal," Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) 2009010, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
  • Handle: RePEc:ctl:louvir:2009010
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    References listed on IDEAS

    as
    1. Boucekkine, R. & Fabbri, G. & Gozzi, F., 2010. "Maintenance and investment: Complements or substitutes? A reappraisal," Journal of Economic Dynamics and Control, Elsevier, pages 2420-2439.
    2. repec:kap:jeczfn:v:78:y:2003:i:1:d:10.1007_s00712-002-0554-9 is not listed on IDEAS
    3. Ellen R. McGrattan & James A. Schmitz, 1999. "Maintenance and repair: too big to ignore," Quarterly Review, Federal Reserve Bank of Minneapolis, pages 2-13.
    4. Feldstein, Martin S & Rothschild, Michael, 1974. "Towards an Economic Theory of Replacement Investment," Econometrica, Econometric Society, pages 393-423.
    5. Askenazy, Philippe & Le Van, Cuong, 1999. "A Model of Optimal Growth Strategy," Journal of Economic Theory, Elsevier, pages 24-51.
    6. Raouf Boucekkine & Giorgio Fabbri & Fausto Gozzi, 2009. "Maintenance and investment: complements or substitutes? A reappraisal," Working Papers 2009_21, Business School - Economics, University of Glasgow.
    7. Hartl, Richard, 1983. "Optimal maintenance and production rates for a machine : A nonlinear economic control problem," Journal of Economic Dynamics and Control, Elsevier, pages 281-306.
    8. Faggian, Silvia & Gozzi, Fausto, 2010. "Optimal investment models with vintage capital: Dynamic programming approach," Journal of Mathematical Economics, Elsevier, vol. 46(4), pages 416-437, July.
    9. Nickell, Stephen, 1975. "A closer look at replacement investment," Journal of Economic Theory, Elsevier, pages 54-88.
    10. Boucekkine, Raouf & Licandro, Omar & Puch, Luis A. & del Rio, Fernando, 2005. "Vintage capital and the dynamics of the AK model," Journal of Economic Theory, Elsevier, pages 39-72.
    11. 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.
    12. Omar Licandro & Luis A. Puch & J. Ramón Ruiz-Tamarit, "undated". "Optimal Growth under Endogenous Depreciation, Capital Utilization and Maintenance Costs," Working Papers 2000-23, FEDEA.
    13. Karl Whelan, 2002. "Computers, Obsolescence, And Productivity," The Review of Economics and Statistics, MIT Press, pages 445-461.
    14. Raouf Boucekkine & Fernando del Río & Blanca Martínez, 2009. "Technological progress, obsolescence, and depreciation," Oxford Economic Papers, Oxford University Press, pages 440-466.
    15. 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.
    16. repec:adr:anecst:y:2000:i:58:p:05 is not listed on IDEAS
    17. Collard, Fabrice & Kollintzas, Tryphon, 2000. "Maintenance, Utilization, and Depreciation along the Business Cycle," CEPR Discussion Papers 2477, C.E.P.R. Discussion Papers.
    18. Fabbri, Giorgio & Gozzi, Fausto, 2008. "Solving optimal growth models with vintage capital: The dynamic programming approach," Journal of Economic Theory, Elsevier, pages 331-373.
    19. Omar Licandro & Luis A. Puch González & J. Ramón Ruiz Tamaritz, 2001. "Optimal Growth under Endogeneous Depreciation, Capital Utilization and Maintenance Costs," Documentos de Trabajo del ICAE 0101, Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales, Instituto Complutense de Análisis Económico.
    20. Boucekkine, R. & Fabbri, G. & Gozzi, F., 2010. "Maintenance and investment: Complements or substitutes? A reappraisal," Journal of Economic Dynamics and Control, Elsevier, pages 2420-2439.
    21. Kalaitzidakis, Pantelis & Kalyvitis, Sarantis, 2004. "On the macroeconomic implications of maintenance in public capital," Journal of Public Economics, Elsevier, pages 695-712.
    22. Raouf Boucekkine & Ramón Ruiz-Tamarit, 2003. "Capital Maintenance and Investment: Complements or Substitutes?," Journal of Economics, Springer, pages 1-28.
    23. 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.
    24. 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.
    25. 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, pages 3032-3053.
    26. Omar Licandro & Luis A. Puch & J. Ramón Ruiz-Tamarit, 2001. "Optimal growth under endogenous depreciation, capital utilization and maintenance costs," Investigaciones Economicas, Fundación SEPI, vol. 25(3), pages 543-559, September.
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    More about this item

    Keywords

    Maintenance; investment; optimal control; dynamic programming; infinite dimensional problem;

    JEL classification:

    • E22 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Investment; Capital; Intangible Capital; Capacity
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • O40 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - General

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