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Maintenance and investment: complements or substitutes? A reappraisal

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Author Info

  • Raouf Boucekkine
  • Giorgio Fabbri
  • Fausto Gozzi

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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Bibliographic Info

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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Related research

Keywords: Maintenance; investment; optimal control; dynamic program- ming; infinite dimensional problem;

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References

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  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.
  2. Whelan, Karl, 2002. "Computers, obsolescence, and productivity," Open Access publications from University College Dublin urn:hdl:10197/204, University College Dublin.
  3. Askenazy, Philippe & Le Van, Cuong, 1999. "A Model of Optimal Growth Strategy," Journal of Economic Theory, Elsevier, vol. 85(1), pages 24-51, March.
  4. 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.
  5. Feldstein, Martin S & Rothschild, Michael, 1974. "Towards an Economic Theory of Replacement Investment," Econometrica, Econometric Society, vol. 42(3), pages 393-423, May.
  6. Collard, Fabrice & Kollintzas, Tryphon, 2000. "Maintenance, Utilization, and Depreciation along the Business Cycle," CEPR Discussion Papers 2477, C.E.P.R. Discussion Papers.
  7. Boucekkine, Raouf & Del Rio, Fernando & Licandro, Omar, 2000. "Vintage capital and the dynamics of the AK model," CEPREMAP Working Papers (Couverture Orange) 0003, CEPREMAP.
  8. Omar Licandro & Luis A. Puch & J. Ramón Ruiz Tamaritz, 2001. "Optimal Growth under Endogeneous Depreciation, Capital Utilization and Maintenance Costs," Documentos del Instituto Complutense de Análisis Económico 0101, Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales.
  9. 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.
  10. 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).
  11. Boucekkine, Raouf, 2009. "Technological progress, obsolescence, and depreciation," Open Access publications from Université catholique de Louvain info:hdl:2078.1/23290, Université catholique de Louvain.
  12. 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.
  13. repec:pra:mprapa:2863 is not listed on IDEAS
  14. Nickell, Stephen, 1975. "A closer look at replacement investment," Journal of Economic Theory, Elsevier, vol. 10(1), pages 54-88, February.
  15. 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.
  16. 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.
  17. 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.
  18. 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.
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Citations

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Cited by:
  1. Alice Albonico & Sarantis Kalyvitis & Evi Pappa, . "Capital Maintenance and Depreciation over the Business Cycle," DEOS Working Papers 1326, Athens University of Economics and Business.
  2. Giorgio Fabbri & Raouf Boucekkiney & Fausto Gozzi, 2012. "Egalitarism Under Population Change: the Role of Growth and Lifetime Span," DEGIT Conference Papers c017_007, DEGIT, Dynamics, Economic Growth, and International Trade.
  3. Boucekkine, Raouf, 2011. "Vintage Capital Growth Theory: Three Breakthroughs," Open Access publications from Université catholique de Louvain info:hdl:2078.1/118159, Université catholique de Louvain.
  4. Hippolyte D'Albis & Emmanuelle Augeraud-Véron & Hermen Jan Hupkes, 2013. "Multiple Solutions in Systems of Functional Differential Equations," Post-Print halshs-00786419, HAL.
  5. Barañano Mentxaka, Ilaski & Romero-Avila, Diego, 2013. "Long-Term Growth and Persistence with Endogenous Depreciation: Theory and Evidence," IKERLANAK Ikerlanak;2013-68, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
  6. Raouf Boucekkine & Giorgio Fabbri & Fausto Gozzi, 2010. "Life span and the problem of optimal population size," Working Papers halshs-00536073, HAL.
  7. Raouf Boucekkine & Giorgio Fabbri & Patrick-Antoine Pintus, 2011. "On the optimal control of a linear neutral differential equation arising in economics," Working Papers halshs-00576770, HAL.
  8. Hippolyte d'Albis & Emmanuelle Augeraud-Véron & Hermen Jan Hupkes, 2013. "Multiple Solutions in Systems of Functional Differential Equations," Documents de travail du Centre d'Economie de la Sorbonne 13007, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  9. Raouf Boucekkine & David De La Croix & Omar Licandro, 2011. "Vintage capital theory: Three breakthroughs," Working Papers halshs-00599074, HAL.
  10. Alice Albonico & Sarantis Kalyvitis & Evi Pappa, 2011. "Real Business Cycles with Capital Maintenance," Quaderni di Dipartimento 147, University of Pavia, Department of Economics and Quantitative Methods.

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