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Dynamic Investment Behavior Taking into Account Ageing of the Capital Good

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  • Feichtinger, G.
  • Hartl, R.F.
  • Kort, P.M.

    (Tilburg University, Center For Economic Research)

  • Veliov, V.

Abstract

In standard capital accumulation models all capital goods are equally productive and produce goods of the same quality.However, due to ageing, in reality it holds most of the time that newer capital goods are more productive. Implications of this feature for the firm's investment policies are investigated in an optimal control problem with distributed parameters.It turns out that investing in capital goods of di¤erent age is done such that the net present value of marginal investment equals zero.Comparing the returns of investment in capital goods of different age, the higher productivity of younger capital goods has to be weighed against the lower costs of depreciation, discounting and acquisition of older capital goods.In the steady state it holds that, in the most reasonable scenario, the firm should invest at the highest rate in new capital goods, and dis-investment can only be optimal when costs of acquisition are large and machines are old.

Suggested Citation

  • Feichtinger, G. & Hartl, R.F. & Kort, P.M. & Veliov, V., 2001. "Dynamic Investment Behavior Taking into Account Ageing of the Capital Good," Discussion Paper 2001-13, Tilburg University, Center for Economic Research.
  • Handle: RePEc:tiu:tiucen:1e12e7c6-11c2-4632-a8e2-1a62dda5d8b6
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    References listed on IDEAS

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    1. Barucci, Emilio, 1998. "Optimal Investments with Increasing Returns to Scale," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(3), pages 789-808, August.
    2. Gene M. Grossman & Elhanan Helpman, 1991. "Quality Ladders in the Theory of Growth," Review of Economic Studies, Oxford University Press, vol. 58(1), pages 43-61.
    3. Xepapadeas, Anastasios & de Zeeuw, Aart, 1999. "Environmental Policy and Competitiveness: The Porter Hypothesis and the Composition of Capital," Journal of Environmental Economics and Management, Elsevier, vol. 37(2), pages 165-182, March.
    4. Boyan Jovanovic, 1998. "Vintage Capital and Inequality," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 1(2), pages 497-530, April.
    5. Russell Davidson & Richard Harris, 1981. "Non-Convexities in Continuous Time Investment Theory," Review of Economic Studies, Oxford University Press, vol. 48(2), pages 235-253.
    6. Chari, V V & Hopenhayn, Hugo, 1991. "Vintage Human Capital, Growth, and the Diffusion of New Technology," Journal of Political Economy, University of Chicago Press, vol. 99(6), pages 1142-1165, December.
    7. Barucci, Emilio & Gozzi, Fausto, 1998. "Investment in a vintage capital model," Research in Economics, Elsevier, vol. 52(2), pages 159-188, June.
    8. Robert E. Lucas & Jr., 1967. "Adjustment Costs and the Theory of Supply," Journal of Political Economy, University of Chicago Press, vol. 75, pages 321-321.
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    Cited by:

    1. Faggian, Silvia & Gozzi, Fausto, 2010. "Optimal investment models with vintage capital: Dynamic programming approach," Journal of Mathematical Economics, Elsevier, vol. 46(4), pages 416-437, July.
    2. Feichtinger, Gustav & Hartl, Richard F. & Kort, Peter M. & Veliov, Vladimir M., 2005. "Environmental policy, the porter hypothesis and the composition of capital: Effects of learning and technological progress," Journal of Environmental Economics and Management, Elsevier, vol. 50(2), pages 434-446, September.
    3. Feichtinger, Gustav & Hartl, Richard F. & Kort, Peter M. & Veliov, Vladimir M., 2006. "Anticipation effects of technological progress on capital accumulation: a vintage capital approach," Journal of Economic Theory, Elsevier, vol. 126(1), pages 143-164, January.
    4. BERTINELLI, Luisito & STROBL, Eric & ZOU, Benteng, 2006. "Polluting technologies and sustainable economic development," CORE Discussion Papers 2006052, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    5. Feichtinger, Gustav & Hartl, Richard F. & Kort, Peter M. & Veliov, Vladimir M., 2006. "Capital accumulation under technological progress and learning: A vintage capital approach," European Journal of Operational Research, Elsevier, vol. 172(1), pages 293-310, July.
    6. Silvia Faggian, 2008. "Equilibrium Points for Optimal Investment with Vintage Capital," Working Papers 182, Department of Applied Mathematics, Università Ca' Foscari Venezia.

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    Keywords

    investment; capital goods; ageing;

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