Publication:
Optimal growth under endogenous depreciation, capital utilization and maintenance costs

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2001
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Instituto Complutense de Análisis Económico. Universidad Complutense de Madrid
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This paper analyzes the equilibrium dynamics of an optimal growth model that incorporates endogenous depreciation, variable capital utilization, and expenditures on the maintenance of physical capital. Maintenance acts as a substitute for investment, since it reduces the depreciation of capital. Investment is subject to adjustment costs, and capital is not fully utilized, the degree of capital utilization affecting the activity of maintaining. We establish a set of sufficient conditions for the existence and uniqueness of a steady state equilibrium. Also, 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 locally saddle-path stable. These results provide a framework for the analysis of comparative dynamics in general equilibrium with these features.
Se analiza la dinámica de un modelo de crecimiento que incorpora depreciación endógena, utilización variable del capital y gastos de mantenimiento. La actividad de mantenimiento actúa en cierta medida como sustituto de la inversión puesto que reduce la depreciación de capital.
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JEL classification numbers: O40, E22, D90
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A. B. Abel and O. J. Blanchard (1983), “An intertemporal model of saving and investment,” Econometrica 51, 675-692. R. J. Barro and X. Sala-i-Martin (1992), “Convergence,” Journal of Political Economy 100, 223-251. F. Collard and T. Kollintzas (2000), “Maintenance, utilization, and depreciation along the business cycle,” CEPR 2477. C. W. Bischoff and E. C. Kokkelenberg (1987), “Capacity utilization and depreciation in use,” Applied Economics 19, 995-1007. C. Burnside and M. Eichenbaum (1996), “Factor-hoarding and the propagation of business-cycle shocks,” American Economic Review 86, 1154-1174. L. Epstein and M. Denny (1980), “Endogenous capital utilization in a short-run production model,” Journal of Econometrics 12, 189-207. F. J. Escribá-Pérez and J. R. Ruiz-Tamarit (1996), “Maintenance costs and endogenous depreciation,” Revista Española de Economía 13, 261-277. M. Kurz (1968), “The general instability of a class of competitive growth processes,” Review of Economic Studies 35, 155-174. O. Licandro and L. A. Puch (2000), “Capital utilization, maintenance costs and the business cycle,” Annales d’Economie et de Statistique, 58, 143-164. E. McGrattan and J.A.Jr Schmitz (1999), “Maintenance and repair: too big to ignore,” Quarterly Review of the Federal Reserve Bank of Minneapolis, Fall 1999. E. Motahar (1992), “Endogenous capital utilization and the q theory of investment,” Economic Letters 40, 71-75. J. R. Ruiz-Tamarit (1995), “Dépréciation endogène et sous-utilisation du capital,” IRES DP 9526. B. Rumbos and L. Auernheimer (1997), “Endogenous capital utilization in a neoclassical growth model,” ITAM DP 9704. H. Uzawa (1964), “Optimal growth in a two sector model of capital accumulation”, Review of Economic Studies 31, 1-24.