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Maintenance and investment: complements or substitutes? A reappraisal

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Author Info
Raouf Boucekkine
Giorgio Fabbri
Fausto Gozzi

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Abstract

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 Department of 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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Related research
Keywords: Maintenance; investment; optimal control; dynamic program- ming; infinite dimensional problem;

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Find related papers by JEL classification:
E22 - Macroeconomics and Monetary Economics - - Macroeconomics: Consumption, Saving, Production, Employment, and Investment - - - Capital; Investment; Capacity
E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
O40 - Economic Development, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - General

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. 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. [Downloadable!] (restricted)
  2. Askenazy, Philippe & Le Van, Cuong, 1999. "A Model of Optimal Growth Strategy," Journal of Economic Theory, Elsevier, vol. 85(1), pages 24-51, March. [Downloadable!] (restricted)
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  3. Omar Licandro & Luis A. Puch, 2000. "Capital Utilization, Maintenance Costs and the Business Cycle," Annales d'Economie et de Statistique, ADRES, issue 58, pages 06, Avril-Jui. [Downloadable!]
  4. Karl Whelan, 2002. "Computers, Obsolescence, And Productivity," The Review of Economics and Statistics, MIT Press, vol. 84(3), pages 445-461, August. [Downloadable!] (restricted)
    Other versions:
  5. 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, vol. 120(1), pages 39-72, January. [Downloadable!] (restricted)
    Other versions:
  6. 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. [Downloadable!] (restricted)
  7. 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). [Downloadable!]
  8. 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. [Downloadable!] (restricted)
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This page was last updated on 2009-11-23.

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