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Optimal growth under endogenous depreciation, capital utilization and maintenance costs

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Abstract

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)

Suggested Citation

  • 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.
  • Handle: RePEc:iec:inveco:v:25:y:2001:i:3:p:543-559
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    References listed on IDEAS

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    1. 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).
    2. Ellen R. McGrattan & James A. Schmitz, 1999. "Maintenance and repair: too big to ignore," Quarterly Review, Federal Reserve Bank of Minneapolis, issue Fall, pages 2-13.
    3. Burnside, Craig & Eichenbaum, Martin, 1996. "Factor-Hoarding and the Propagation of Business-Cycle Shocks," American Economic Review, American Economic Association, vol. 86(5), pages 1154-1174, December.
    4. Omar Licandro & Luis A. Puch, 2000. "Capital Utilization, Maintenance Costs and the Business Cycle," Annals of Economics and Statistics, GENES, issue 58, pages 143-164.
    5. Abel, Andrew B & Blanchard, Olivier J, 1983. "An Intertemporal Model of Saving and Investment," Econometrica, Econometric Society, vol. 51(3), pages 675-692, May.
    6. repec:adr:anecst:y:2000:i:58 is not listed on IDEAS
    7. Hirofumi Uzawa, 1964. "Optimal Growth in a Two-Sector Model of Capital Accumulation," Review of Economic Studies, Oxford University Press, vol. 31(1), pages 1-24.
    8. Motahar, Eshragh, 1992. "Endogenous capital utilization and the q theory of investment," Economics Letters, Elsevier, vol. 40(1), pages 71-75, September.
    9. Beatriz Rumbos & Leonardo Auernheimer, 2001. "Endogenous capital utilization in a neoclassical growth model," Atlantic Economic Journal, Springer;International Atlantic Economic Society, vol. 29(2), pages 121-134, June.
    10. M. Kurz, 1968. "The General Instability of a Class of Competitive Growth Processes," Review of Economic Studies, Oxford University Press, vol. 35(2), pages 155-174.
    11. 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.
    12. repec:adr:anecst:y:2000:i:58:p:05 is not listed on IDEAS
    13. Collard, Fabrice & Kollintzas, Tryphon, 2000. "Maintenance, Utilization, and Depreciation along the Business Cycle," CEPR Discussion Papers 2477, C.E.P.R. Discussion Papers.
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    Cited by:

    1. Bitros, George C., 2016. "A theory of maintenance expenditures tested on automobile data from Greece," MPRA Paper 70820, University Library of Munich, Germany.
    2. George Bitros, 2010. "The theorem of proportionality in contemporary capital theory: An assessment of its conceptual foundations," The Review of Austrian Economics, Springer;Society for the Development of Austrian Economics, vol. 23(4), pages 367-401, December.
    3. Martial Dupaigne, 2007. "Les variations choisies de l'utilisation du capital : une revue des implications macroéconomiques," Revue d'économie politique, Dalloz, vol. 117(2), pages 161-196.
    4. 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.
    5. 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.
    6. Raouf, BOUCEKKINE & Blanca, MARTINEZ & Cagri, SAGLAM, 2006. "Capital Maintenance Vs Technology Adopton under Embodied Technical Progress," Discussion Papers (ECON - Département des Sciences Economiques) 2006030, Université catholique de Louvain, Département des Sciences Economiques.
    7. J. Aznar-Márquez & J. R. Ruiz-Tamarit, "undated". "Endogenous Growth, Capital Utilization and Depreciation," Working Papers 2004-21, FEDEA.
    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. Ludmila Fadejeva & Aleksejs Melihovs, 2010. "Measuring Total Factor Productivity and Variable Factor Utilization," Eastern European Economics, Taylor & Francis Journals, vol. 48(5), pages 63-101, September.
    10. Seiya Fujisaki & Kazuo Mino, 2010. "Long-Run Impacts of Inflation Tax with Endogenous Capital Depreciation," Economics Bulletin, AccessEcon, vol. 30(1), pages 808-816.
    11. S. Devrim Yilmaz, 2008. "Public and Private Maintenance Expenditure in a Growing Economy," Centre for Growth and Business Cycle Research Discussion Paper Series 108, Economics, The Univeristy of Manchester.

    More about this item

    Keywords

    maintenance; depreciation; capital utilization; optimal growth;

    JEL classification:

    • O40 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - General
    • E22 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Investment; Capital; Intangible Capital; Capacity
    • D90 - Microeconomics - - Micro-Based Behavioral Economics - - - General

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