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Optimal Growth under Endogenous Depreciation, Capital Utilization and Maintenance Costs

  • Omar Licandro
  • Luis A. Puch
  • J. Ramón Ruiz-Tamarit

This paper analyzes the equilibrium dynamics of and 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 featur

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Paper provided by FEDEA in its series Working Papers with number 2000-23.

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Handle: RePEc:fda:fdaddt:2000-23
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  1. Andrew B. Abel & Olivier J. Blanchard, 1982. "An Intertemporal Model of Saving and Investment," NBER Working Papers 0885, National Bureau of Economic Research, Inc.
  2. Burnside, Craig & Eichenbaum, Martin, 1996. "Factor-Hoarding and the Propagation of Business-Cycle Shocks," American Economic Review, American Economic Association, vol. 86(5), pages 1154-74, December.
  3. 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.
  4. Collard, Fabrice & Kollintzas, Tryphon, 2000. "Maintenance, Utilization, and Depreciation along the Business Cycle," CEPR Discussion Papers 2477, C.E.P.R. Discussion Papers.
  5. 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.
  6. 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.
  7. 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.
  8. 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).
  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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