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Maintenance and investment: Complements or substitutes? A reappraisal

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  • Boucekkine, R.
  • Fabbri, G.
  • Gozzi, F.

Abstract

A benchmark AK optimal growth model with maintenance expenditures and endogenous 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 using impulse response experiments, 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.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Economic Dynamics and Control.

Volume (Year): 34 (2010)
Issue (Month): 12 (December)
Pages: 2420-2439

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Handle: RePEc:eee:dyncon:v:34:y:2010:i:12:p:2420-2439

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Keywords: Maintenance Investment Optimal control Dynamic programming Infinite dimensional problem;

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References

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  1. 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.
  2. Nickell, Stephen, 1975. "A closer look at replacement investment," Journal of Economic Theory, Elsevier, vol. 10(1), pages 54-88, February.
  3. Raouf, BOUCEKKINE & Fernando, DEL RIO & Blanca, MARTINEZ, 2006. "Technological Progress, Obsolescence and Depreciation," Discussion Papers (ECON - Département des Sciences Economiques) 2006015, Université catholique de Louvain, Département des Sciences Economiques.
  4. 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).
  5. 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.
  6. 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.
  7. 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.
  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. Raouf Boucekkine & Omar Licandro & Luis A. Puch & Fernando del Rio, 2003. "Vintage capital and the dynamics of the AK model," Documentos de Trabajo del ICAE 0310, Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales, Instituto Complutense de Análisis Económico.
  10. 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.
  11. 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.
  12. 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.
  13. Feldstein, Martin S & Rothschild, Michael, 1974. "Towards an Economic Theory of Replacement Investment," Econometrica, Econometric Society, vol. 42(3), pages 393-423, May.
  14. 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.
  15. 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.
  16. Karl Whelan, 2000. "Computers, obsolescence, and productivity," Finance and Economics Discussion Series 2000-06, Board of Governors of the Federal Reserve System (U.S.).
  17. 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.
  18. Collard, Fabrice & Kollintzas, Tryphon, 2000. "Maintenance, Utilization, and Depreciation along the Business Cycle," CEPR Discussion Papers 2477, C.E.P.R. Discussion Papers.
  19. 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.
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Citations

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Cited by:
  1. Raouf Boucekkine & David De La Croix & Omar Licandro, 2011. "Vintage capital theory: Three breakthroughs," Working Papers halshs-00599074, HAL.
  2. 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.
  3. Raouf Boucekkine & Giorgio Fabbri & Fausto Gozzi, 2012. "Egalitarism under Population Change: The Role of Growth and Lifetime Span," Working Papers halshs-00793188, HAL.
  4. d’Albis, Hippolyte & Augeraud-Véron, Emmanuelle & Hupkes, Hermen Jan, 2014. "Multiple solutions in systems of functional differential equations," Journal of Mathematical Economics, Elsevier, vol. 52(C), pages 50-56.
  5. repec:hal:journl:halshs-00786419 is not listed on IDEAS
  6. Giorgio FABBRI, 2014. "Ecological Barriers and Convergence: a Note on Geometry in Spatial Growth Models," Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) 2014014, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
  7. BOUCEKKINE, Raouf & FABBRI, Giorgio & PINTUS, Patrick, . "On the optimal control of a linear neutral differential equation arising in economics," CORE Discussion Papers RP -2449, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  8. Albonico, Alice & Kalyvitis, Sarantis & Pappa, Evi, 2014. "Capital maintenance and depreciation over the business cycle," Journal of Economic Dynamics and Control, Elsevier, vol. 39(C), pages 273-286.
  9. 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.
  10. Raouf Boucekkine & David de la Croix & Omar Licandro, 2011. "Vintage capital growth theory: Three breakthroughs," UFAE and IAE Working Papers 875.11, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  11. Raouf BOUCEKKINE & Giorgio FABBRI & Fausto GOZZI, 2011. "Life span and the problem of optimal population size," Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) 2011018, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).

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