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Role of Endogenous Vintage Specific Depreciation in the Optimal Behavior of Firms

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  • Cagri Saglam
  • Vladimir M. Veliov

Abstract

This paper studies the firms' capital accumulation process in a vintage capital model with embodied technological change. We take into account that depreciation is endogenous and in particular associated with vintage specific maintenance expenditure. We prove that maintenance is a local substitute for investment as soon as the marginal cost of maintenance is strictly increasing. We show that maintenance and investment in new capital goods appear as complements with respect to the changes in productivity, cost of maintenance, fixed cost of operation, efficiency of maintenance services and appear as substitutes with respect to the price of new machines. Allowing for investment in old vintages, we determine that investment in old machines appears as a substitute of both investments in new machines and maintenance services. We end up by analyzing the effects of technological progress on optimal plans and prove that a negative anticipation effect can occur even without any market imperfections.

Suggested Citation

  • Cagri Saglam & Vladimir M. Veliov, 2008. "Role of Endogenous Vintage Specific Depreciation in the Optimal Behavior of Firms," International Journal of Economic Theory, The International Society for Economic Theory, vol. 4(3), pages 381-410, September.
    • Handle: RePEc:bla:ijethy:v:4:y:2008:i:3:p:381-410
    DOI: 10.1111/j.1742-7363.2008.00085.x
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    Cited by:

    1. Raouf Boucekkine & Bruno de Oliveira Cruz, 2015. "Technological Progress and Investment: A Non-Technical Survey," Working Papers halshs-01145485, HAL.
    2. 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.
    3. Kredler, Matthias, 2014. "Vintage human capital and learning curves," Journal of Economic Dynamics and Control, Elsevier, vol. 40(C), pages 154-178.
    4. 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.
    5. Kuhn, Michael & Wrzaczek, Stefan & Prskawetz, Alexia & Feichtinger, Gustav, 2011. "Externalities in a life cycle model with endogenous survival," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 627-641.
    6. Motamedi, N. & Reza Peyghami, M. & Hadizadeh, M., 2013. "A mixed integer nonlinear programming model for the optimal repair–replacement in the firm," Mathematical Social Sciences, Elsevier, vol. 66(3), pages 366-371.
    7. Prskawetz, Alexia & Veliov, Vladimir M., 2007. "Age-specific dynamic labor demand and human capital investment," Journal of Economic Dynamics and Control, Elsevier, vol. 31(12), pages 3741-3777, December.
    8. Alice Albonico & Sarantis Kalyvitis & Evi Pappa, 2011. "Real Business Cycles with Capital Maintenance," Quaderni di Dipartimento 147, University of Pavia, Department of Economics and Quantitative Methods.

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