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Econometric Modelling of World Oil Supplies: Terminal Price and the Time to Depletion

  • Mohaddes, K.

This paper develops a novel approach by which to identify the price of oil at the time of depletion; the so-called "terminal price" of oil. It is shown that while the terminal price is independent of both GDP growth and the price elasticity of energy demand, it is dependent on the world real interest rate and the total life-time stock of oil resources, as well as on the marginal extraction and scarcity cost parameters. The theoretical predictions of this model are evaluated using data on the cost of extraction, cumulative production, and proven reserves. The predicted terminal prices seem sensible for a range of parameters and variables, as illustrated by the sensitivity analysis. Using the terminal price of oil, we calculate the time to depletion, and determine the extraction and price profiles over the life-time of the resource. The extraction profiles generated seem to be in line with the actual production and the predicted prices are generally in line with those currently observed.

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File URL: http://www.econ.cam.ac.uk/research/repec/cam/pdf/cwpe1212.pdf
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Paper provided by Faculty of Economics, University of Cambridge in its series Cambridge Working Papers in Economics with number 1212.

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Date of creation: 02 Mar 2012
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Handle: RePEc:cam:camdae:1212
Contact details of provider: Web page: http://www.econ.cam.ac.uk/index.htm

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  1. Hnyilicza, Esteban & Pindyck, Robert S., 1976. "Pricing policies for a two-part exhaustible resource cartel : The case of OPEC," European Economic Review, Elsevier, vol. 8(2), pages 139-154, August.
  2. S. Gurcan Gulen, 1996. "Is OPEC a Cartel? Evidence from Cointegration and Causality Tests," The Energy Journal, International Association for Energy Economics, vol. 0(Number 2), pages 43-57.
  3. Cynthia Lin, C.-Y. & Wagner, Gernot, 2007. "Steady-state growth in a Hotelling model of resource extraction," Journal of Environmental Economics and Management, Elsevier, vol. 54(1), pages 68-83, July.
  4. Cavalcanti, T.V.de V. & Mohaddes, K. & Raissi, M., 2011. "Commodity Price Volatility and the Sources of Growth," Cambridge Working Papers in Economics 1112, Faculty of Economics, University of Cambridge.
  5. Slade, Margaret E., 1982. "Trends in natural-resource commodity prices: An analysis of the time domain," Journal of Environmental Economics and Management, Elsevier, vol. 9(2), pages 122-137, June.
  6. M. Hashem Pesaran, 2004. "Estimation and Inference in Large Heterogeneous Panels with a Multifactor Error Structure," CESifo Working Paper Series 1331, CESifo Group Munich.
  7. M. A. Adelman, 1985. "An Unstable World Oil Market," The Energy Journal, International Association for Energy Economics, vol. 0(Number 1), pages 17-22.
  8. Farzin, Y H, 1992. "The Time Path of Scarcity Rent in the Theory of Exhaustible Resources," Economic Journal, Royal Economic Society, vol. 102(413), pages 813-30, July.
  9. Pindyck, Robert S, 1978. "Gains to Producers from the Cartelization of Exhaustible Resources," The Review of Economics and Statistics, MIT Press, vol. 60(2), pages 238-51, May.
  10. Mead, Walter J, 1979. "The Performance of Government in Energy Regulations," American Economic Review, American Economic Association, vol. 69(2), pages 352-56, May.
  11. Devarajan, Shantayanan & Fisher, Anthony C, 1982. "Exploration and Scarcity," Journal of Political Economy, University of Chicago Press, vol. 90(6), pages 1279-90, December.
  12. Livernois, John R & Uhler, Russell S, 1987. "Extraction Costs and the Economics of Nonrenewable Resources," Journal of Political Economy, University of Chicago Press, vol. 95(1), pages 195-203, February.
  13. Noureddine Krichene, 2006. "World Crude Oil Markets; Monetary Policy and the Recent Oil Shock," IMF Working Papers 06/62, International Monetary Fund.
  14. Pindyck, Robert S, 1978. "The Optimal Exploration and Production of Nonrenewable Resources," Journal of Political Economy, University of Chicago Press, vol. 86(5), pages 841-61, October.
  15. Favero, Carlo A & Pesaran, M Hashem & Sharma, Sunil, 1994. "A Duration Model of Irreversible Oil Investment: Theory and Empirical Evidence," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 9(S), pages S95-112, Suppl. De.
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