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Optimal growth under endogenous depreciation, capital utilization and maintenance costs

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This paper analyzes the equilibrium dynamics of an optimal growth model with endogenous depreciation, variable capital utilization, and expenditures on the maintenance of physical capital. Maintenance reduces the depreciation of capital, utilization affects the activity of maintainance. We establish a set of sufficient conditions for the existence and uniqueness of a steady state equilibrium. We define a "delta golden rule" consistent with the proposed economic environment and we analyze the dynamic efficiency of this economy. Finally, the steady state is found to be locally saddle-path stable. (Copyright: Fundación Empresa Pública)

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Article provided by Fundación SEPI in its journal Investigaciones Economicas.

Volume (Year): 25 (2001)
Issue (Month): 3 (September)
Pages: 543-559

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Handle: RePEc:iec:inveco:v:25:y:2001:i:3:p:543-559

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Keywords: maintenance; depreciation; capital utilization; optimal growth;

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  1. Abel, Andrew B & Blanchard, Olivier J, 1983. "An Intertemporal Model of Saving and Investment," Econometrica, Econometric Society, vol. 51(3), pages 675-92, May.
  2. Epstein, L. & Denny, M., 1980. "Endogenous capital utilization in a short-run production model : Theory and an empiral application," Journal of Econometrics, Elsevier, vol. 12(2), pages 189-207, February.
  3. Ruiz-Tamarit, José Ramon, 1995. "Dépréciation endogène et sous-utilisation du capital," Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) 1995026, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
  4. Beatriz Rumbos & Leonardo Auernheimer, 2001. "Endogenous capital utilization in a neoclassical growth model," Atlantic Economic Journal, International Atlantic Economic Society, vol. 29(2), pages 121-134, June.
  5. Craig Burnside & Martin Eichenbaum, 1994. "Factor Hoarding and the Propagation of Business Cycles Shocks," NBER Working Papers 4675, National Bureau of Economic Research, Inc.
  6. 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.
  7. Collard, Fabrice & Kollintzas, Tryphon, 2000. "Maintenance, Utilization, and Depreciation along the Business Cycle," CEPR Discussion Papers 2477, C.E.P.R. Discussion Papers.
  8. 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.
  9. Motahar, Eshragh, 1992. "Endogenous capital utilization and the q theory of investment," Economics Letters, Elsevier, vol. 40(1), pages 71-75, September.
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Cited by:
  1. Fujisaki, Seiya & Mino, Kazuo, 2009. "Long-Run Impacts of Inflation Tax with Endogenous Capital Depreciation," MPRA Paper 16657, University Library of Munich, Germany.
  2. BOUCEKKINE, Raouf & MARTINEZ, Blanca & SAGLAM, Cagri, 2006. "Capital maintenance Vs technology adoption under embodied technical progress," CORE Discussion Papers 2006058, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  3. Ludmila Fadejeva & Aleksejs Melihovs, 2009. "Measuring Total Factor Productivity and Variable Factor Utilisation: Sector Approach, The Case of Latvia," Working Papers 2009/03, Latvijas Banka.
  4. Martial Dupaigne, 2007. "Les variations choisies de l'utilisation du capital : une revue des implications macroéconomiques," Revue d'économie politique, Dalloz, vol. 0(2), pages 161-196.
  5. J. Aznar-Marquez & J.R. Ruiz-Tamarit, 2001. "Endogenous Growth, Capital Utilization and Depreciation," Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) 2001037, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
  6. Boucekkine, R. & Fabbri, G. & Gozzi, F., 2010. "Maintenance and investment: Complements or substitutes? A reappraisal," Journal of Economic Dynamics and Control, Elsevier, vol. 34(12), pages 2420-2439, December.
  7. George Bitros, 2010. "The theorem of proportionality in contemporary capital theory: An assessment of its conceptual foundations," The Review of Austrian Economics, Springer, vol. 23(4), pages 367-401, December.
  8. Dioikitopoulos, Evangelos V. & Kalyvitis, Sarantis, 2008. "Public capital maintenance and congestion: Long-run growth and fiscal policies," Journal of Economic Dynamics and Control, Elsevier, vol. 32(12), pages 3760-3779, December.
  9. Monteiro, Goncalo & Cook, Adam & Dey, Sanjoy, 2013. "Optimal tax policy under habit formation and capital utilization," Journal of Macroeconomics, Elsevier, vol. 37(C), pages 230-248.

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