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Endogenous capital utilization in a neoclassical growth model

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  • Beatriz Rumbos
  • Leonardo Auernheimer

Abstract

This paper introduces a variable rate of capital utilization and depreciation into a modified Ramsey-type neoclassical growth model via the well-known concept of pure user cost. The optimal utilization rate is found to be determined by the opportunity cost of holding capital or the net real interest rate. As a consequence, this rate may vary in the short run, so total services of capital become a control rather than a state variable. Furthermore, the introduction of a variable utilization rate yields a slower rate of convergence toward the steady state, inducing more persistence in the transitional dynamics. To illustrate how the endogenous choice of utilization acts on the system, some simulations are carried out, including the transition period when there is a temporary fall in the exogenous real interest rate. Copyright International Atlantic Economic Society 2001

Suggested Citation

  • 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.
  • Handle: RePEc:kap:atlecj:v:29:y:2001:i:2:p:121-134
    DOI: 10.1007/BF02299133
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    References listed on IDEAS

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    1. Calvo, Guillermo A, 1975. "Efficient and Optimal Utilization of Capital Services," American Economic Review, American Economic Association, vol. 65(1), pages 181-186, March.
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    8. Johnson, Paul A., 1994. "Capital utilization and investment when capital depreciates in use: some implications and tests," Journal of Macroeconomics, Elsevier, vol. 16(2), pages 243-259.
    9. Ambler, Steve & Paquet, Alain, 1994. "Stochastic Depreciation and the Business Cycle," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 35(1), pages 101-116, February.
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    13. Greenwood, Jeremy & Hercowitz, Zvi & Huffman, Gregory W, 1988. "Investment, Capacity Utilization, and the Real Business Cycle," American Economic Review, American Economic Association, vol. 78(3), pages 402-417, June.
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    Cited by:

    1. 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.
    2. Chatterjee, Santanu, 2005. "Capital utilization, economic growth and convergence," Journal of Economic Dynamics and Control, Elsevier, vol. 29(12), pages 2093-2124, December.
    3. 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.
    4. repec:old:wpaper:351 is not listed on IDEAS
    5. Leonardo Auernheimer & Danilo Trupkin, 2014. "The Role of Inventories and Capacity Utilization as Shock Absorbers," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 17(1), pages 70-85, January.
    6. Mr. Francisco d Nadal De Simone & Mr. Luc Everaert, 2003. "Capital Operating Time and total Factor Productivity Growth in France," IMF Working Papers 2003/128, International Monetary Fund.
    7. J. Aznar-Márquez & J. R. Ruiz-Tamarit, "undated". "Endogenous Growth, Capital Utilization and Depreciation," Working Papers 2004-21, FEDEA.
    8. 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.
    9. 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.
    10. repec:zbw:hohpro:351 is not listed on IDEAS
    11. Bitros, George C., 2009. "The Theorem of Proportionality in Mainstream Capital Theory: An Assessment of its Conceptual Foundations," MPRA Paper 17436, University Library of Munich, Germany.
    12. Jürgen Bitzer & Erkan Gören, 2016. "Measuring capital services by energy use: an empirical comparative study," Applied Economics, Taylor & Francis Journals, vol. 48(53), pages 5152-5167, November.
    13. Dalgaard, Carl-Johan & Winther Hansen, Jes, 2005. "Capital utilization and the foundations of club convergence," Economics Letters, Elsevier, vol. 87(2), pages 145-152, May.

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