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Constant Consumption and the Economic Depreciation of Natural Capital : The Non Autonomous Case

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  • John M. Hartwick
  • Ngo Van Long

Abstract

We investigate economic depreciation of natural capital for cases of non-stationary output prices, technology and interest rates. For the former two cases (exogenous movements in prices and technology), constant consumption emerges under a strategy of investing to cover off economic depreciation. The interest rate case requires a modified sinking fund strategy. Nous décrivons une formule pour comptabiliser la dépréciation économique des stocks de capital (y compris la qualité de l'environnement) dans les cas où les prix, la technologie et les taux d'intérêt ne sont pas stationnaires. Dans les deux premiers cas, le taux de consommation est constant si l'on adopte une stratégie d'investissement pour compenser la dépréciation économique. Dans le cas où le taux d'intérêt n'est pas stationnaire, on a besoin d'une stratégie modifiée pour s'assurer un taux de consommation constant.

Suggested Citation

  • John M. Hartwick & Ngo Van Long, 1996. "Constant Consumption and the Economic Depreciation of Natural Capital : The Non Autonomous Case," CIRANO Working Papers 96s-09, CIRANO.
    • Handle: RePEc:cir:cirwor:96s-09
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    File URL: https://cirano.qc.ca/files/publications/96s-09.pdf
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    References listed on IDEAS

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    1. Avinash Dixit & Peter Hammond & Michael Hoel, 1980. "On Hartwick's Rule for Regular Maximin Paths of Capital Accumulation and Resource Depletion," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 47(3), pages 551-556.
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    6. Vincent, Jeffrey R. & Panayotou, Theodore & Hartwick, John M., 1997. "Resource Depletion and Sustainability in Small Open Economies," Journal of Environmental Economics and Management, Elsevier, vol. 33(3), pages 274-286, July.
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    9. Geir Asheim, 1994. "The Weitzman Foundation of NNP with Non-constant Interest Rates," CESifo Working Paper Series 75, CESifo.
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    Cited by:

    1. Hans-Werner Sinn, 1999. "Inflation and Welfare: Comment on Robert Lucas," NBER Working Papers 6979, National Bureau of Economic Research, Inc.
    2. Butterfield, David W., 2003. "Resource depletion under uncertainty: implications for mine depreciation, Hartwick's Rule and national accounting," Resource and Energy Economics, Elsevier, vol. 25(3), pages 219-238, August.
    3. Mino, Kazuo, 2004. "Weitzman's rule with market distortions," Japan and the World Economy, Elsevier, vol. 16(3), pages 307-329, August.
    4. Hartwick, John M. & Van Long, Ngo & Tian, Huilan, 2001. "Deforestation and Development in a Small Open Economy," Journal of Environmental Economics and Management, Elsevier, vol. 41(3), pages 235-251, May.
    5. Mino, Kazuo, 2004. "On the Generalized Weitzman's Rule," MPRA Paper 16996, University Library of Munich, Germany.

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