IDEAS home Printed from https://ideas.repec.org/p/fda/fdaddt/2004-21.html
   My bibliography  Save this paper

Endogenous Growth, Capital Utilization and Depreciation

Author

Listed:
  • J. Aznar-Márquez
  • J. R. Ruiz-Tamarit

Abstract

We study an extended version of the one-sector AK growth model introducing adjustment and maintenance costs. Agents are allowed to under-use the installed capital and to vary the depreciation rate. The model is analyzed using particular functional forms and is solved in closed-form. We find that adjustment and maintenance costs (e?- ciency) reduce (increases) investment, depreciation, capital utilization and the rate of growth; impatience reduces the rate of growth but increases depreciation and utilization, which are also negatively related to the rate of population growth; the rate of growth appears positively correlated with the depreciation rate and the rate of capital utilization.

Suggested Citation

  • J. Aznar-Márquez & J. R. Ruiz-Tamarit, "undated". "Endogenous Growth, Capital Utilization and Depreciation," Working Papers 2004-21, FEDEA.
    • Handle: RePEc:fda:fdaddt:2004-21
    as

    Download full text from publisher

    File URL: https://documentos.fedea.net/pubs/dt/2004/dt-2004-21.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Romer, Paul M, 1986. "Increasing Returns and Long-run Growth," Journal of Political Economy, University of Chicago Press, vol. 94(5), pages 1002-1037, October.
    2. Raouf Boucekkine & Ramón Ruiz-Tamarit, 2003. "Capital Maintenance and Investment: Complements or Substitutes?," Journal of Economics, Springer, vol. 78(1), pages 1-28, January.
    3. Ellen R. McGrattan & James A. Schmitz, 1999. "Maintenance and repair: too big to ignore," Quarterly Review, Federal Reserve Bank of Minneapolis, vol. 23(Fall), pages 2-13.
    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. Stephen L. Parente & Edward C. Prescott, 1993. "Changes in the wealth of nations," Quarterly Review, Federal Reserve Bank of Minneapolis, vol. 17(Spr), pages 3-16.
    7. Rebelo, Sergio, 1991. "Long-Run Policy Analysis and Long-Run Growth," Journal of Political Economy, University of Chicago Press, vol. 99(3), pages 500-521, June.
    8. 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.
    9. 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.
    10. 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.
    11. Robert J. Barro & Xavier Sala-I-Martin, 1992. "Public Finance in Models of Economic Growth," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 59(4), pages 645-661.
    12. 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.
    13. Ruiz-Tamarit, J.R. & Ventura-Marco, M., 2011. "Solution to nonlinear MHDS arising from optimal growth problems," Mathematical Social Sciences, Elsevier, vol. 61(2), pages 86-96, March.
    14. J. Aznar-Márquez & J. R. Ruiz-Tamarit, "undated". "Endogenous Growth, Capital Utilization and Depreciation," Working Papers 2004-21, FEDEA.
    15. Motahar, Eshragh, 1992. "Endogenous capital utilization and the q theory of investment," Economics Letters, Elsevier, vol. 40(1), pages 71-75, September.
    16. repec:adr:anecst:y:2000:i:58:p:05 is not listed on IDEAS
    17. repec:adr:anecst:y:2000:i:58:p:06 is not listed on IDEAS
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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. Ana Carolina Ortega Masagué, "undated". "La situación laboral de los inmigrantes en España: Un análisis descriptivo," Working Papers 2005-08, FEDEA.
    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. Corinne Mette, "undated". "Wellbeing and dependency among European elderly: The role of social integration," Working Papers 2005-12, FEDEA.
    5. 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 University of Manchester.
    6. J. Aznar-Márquez & J. R. Ruiz-Tamarit, "undated". "Endogenous Growth, Capital Utilization and Depreciation," Working Papers 2004-21, FEDEA.
    7. Seiya Fujisaki & Kazuo Mino, 2010. "Long-Run Impacts of Inflation Tax with Endogenous Capital Depreciation," Economics Bulletin, AccessEcon, vol. 30(1), pages 808-816.
    8. Bitros, George C., 2016. "A theory of maintenance expenditures tested on automobile data from Greece," MPRA Paper 70820, University Library of Munich, Germany.
    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. Simon Sosvilla-Rivero & Pedro Rodriguez, 2010. "Linkages in international stock markets: evidence from a classification procedure," Applied Economics, Taylor & Francis Journals, vol. 42(16), pages 2081-2089.
    11. 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.
    12. Ruiz-Tamarit, J.R. & Ventura-Marco, M., 2011. "Solution to nonlinear MHDS arising from optimal growth problems," Mathematical Social Sciences, Elsevier, vol. 61(2), pages 86-96, March.
    13. 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.
    14. 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.
    15. Eleni Angelopoulou & Sarantis Kalyvitis, 2012. "Estimating the Euler Equation for Aggregate Investment with Endogenous Capital Depreciation," Southern Economic Journal, John Wiley & Sons, vol. 78(3), pages 1057-1078, January.
    16. 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.
    17. 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.
    18. Belousova, Irina, 2017. "The role of endogenous capital depreciation rate in Dynamic Stochastic General Equilibrium models: Evidence from Canada," MPRA Paper 102036, University Library of Munich, Germany.
    19. Namkee Ahn & Juan Ramón García & José A. Herce, "undated". "Demographic Uncertainty and Health Care Expenditure in Spain," Working Papers 2005-07, FEDEA.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. 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.
    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. Belousova, Irina, 2017. "The role of endogenous capital depreciation rate in Dynamic Stochastic General Equilibrium models: Evidence from Canada," MPRA Paper 102036, University Library of Munich, Germany.
    5. 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.
    6. Eleni Angelopoulou & Sarantis Kalyvitis, 2012. "Estimating the Euler Equation for Aggregate Investment with Endogenous Capital Depreciation," Southern Economic Journal, John Wiley & Sons, vol. 78(3), pages 1057-1078, January.
    7. 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.
    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. 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.
    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. Chatterjee, Santanu, 2005. "Capital utilization, economic growth and convergence," Journal of Economic Dynamics and Control, Elsevier, vol. 29(12), pages 2093-2124, December.
    12. Bitros, George C. & Flytzanis, Elias, 2009. "Utilization and maintenance in a model with scrapping," European Journal of Operational Research, Elsevier, vol. 194(2), pages 551-573, April.
    13. George Bitros & Elias Flytzanis, 2004. "Utilization and Maintenance in a Model with Terminal Scrapping," Macroeconomics 0411016, University Library of Munich, Germany.
    14. Alberto Petrucci, 2002. "Consumption Taxation and Endogenous Growth in a Model with New Generations," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 9(5), pages 553-566, September.
    15. Albonico, Alice & Kalyvitis, Sarantis & Pappa, Evi, 2014. "Capital maintenance and depreciation over the business cycle," Journal of Economic Dynamics and Control, Elsevier, vol. 39(C), pages 273-286.
    16. De Gregorio, Jose, 1993. "Inflation, taxation, and long-run growth," Journal of Monetary Economics, Elsevier, vol. 31(3), pages 271-298, June.
    17. F. J. Escribá‐Pérez & M. J. Murgui‐García & J. R. Ruiz‐Tamarit, 2023. "Endogenous capital stock and depreciation in the United States," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 25(1), pages 139-167, February.
    18. F. J. Escribá-Pérez & M. J. Murgui-García & J. R. Ruiz-Tamarit, 2019. "Capital Stock and Depreciation: Theory and an Empirical Application," LIDAM Discussion Papers IRES 2019004, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    19. Schneider, Johannes & Ziesemer, Thomas, 1994. "What's New and What's Old in New Growth Theory: Endogenous Technology, Microfoundation, and Growth Rate Predictions," MPRA Paper 56132, University Library of Munich, Germany.
    20. 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.

    More about this item

    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

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:fda:fdaddt:2004-21. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Carmen Arias (email available below). General contact details of provider: https://www.fedea.net .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.