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

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  • Mohaddes, K.

Abstract

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.

Suggested Citation

  • Mohaddes, K., 2012. "Econometric Modelling of World Oil Supplies: Terminal Price and the Time to Depletion," Cambridge Working Papers in Economics 1212, Faculty of Economics, University of Cambridge.
  • Handle: RePEc:cam:camdae:1212
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    1. M. Hashem Pesaran, 2006. "Estimation and Inference in Large Heterogeneous Panels with a Multifactor Error Structure," Econometrica, Econometric Society, vol. 74(4), pages 967-1012, July.
    2. Geoffrey Heal, 1976. "The Relationship Between Price and Extraction Cost for a Resource with a Backstop Technology," Bell Journal of Economics, The RAND Corporation, vol. 7(2), pages 371-378, Autumn.
    3. Griffin, James M, 1985. "OPEC Behavior: A Test of Alternative Hypotheses," American Economic Review, American Economic Association, vol. 75(5), pages 954-963, December.
    4. Tiago V. De V. Cavalcanti & Kamiar Mohaddes & Mehdi Raissi, 2015. "Commodity Price Volatility and the Sources of Growth," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 30(6), pages 857-873, September.
    5. 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.
    6. Mr. Noureddine Krichene, 2006. "World Crude Oil Markets: Monetary Policy and the Recent Oil Shock," IMF Working Papers 2006/062, International Monetary Fund.
    7. Devarajan, Shantayanan & Fisher, Anthony C, 1982. "Exploration and Scarcity," Journal of Political Economy, University of Chicago Press, vol. 90(6), pages 1279-1290, December.
    8. M. A. Adelman, 1985. "An Unstable World Oil Market," The Energy Journal, International Association for Energy Economics, vol. 0(Number 1), pages 17-22.
    9. 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.
    10. Harold Hotelling, 1931. "The Economics of Exhaustible Resources," Journal of Political Economy, University of Chicago Press, vol. 39(2), pages 137-137.
    11. 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 813-830, July.
    12. 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.
    13. International Monetary Fund, 2012. "Commodity Price Volatility and the Sources of Growth," IMF Working Papers 2012/012, International Monetary Fund.
    14. 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.
    15. Richard J. Gilbert, 1978. "Dominant Firm Pricing Policy in a Market for an Exhaustible Resource," Bell Journal of Economics, The RAND Corporation, vol. 9(2), pages 385-395, Autumn.
    16. Mead, Walter J, 1979. "The Performance of Government in Energy Regulations," American Economic Review, American Economic Association, vol. 69(2), pages 352-356, May.
    17. 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 95-112, Suppl. De.
    18. Dermot Gately & Hiliard G. Huntington, 2002. "The Asymmetric Effects of Changes in Price and Income on Energy and Oil Demand," The Energy Journal, International Association for Energy Economics, vol. 0(Number 1), pages 19-55.
    19. 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.
    20. Pindyck, Robert S, 1978. "The Optimal Exploration and Production of Nonrenewable Resources," Journal of Political Economy, University of Chicago Press, vol. 86(5), pages 841-861, October.
    21. Lewis Cecil Gray, 1914. "Rent under the Assumption of Exhaustibility," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 28(3), pages 466-489.
    22. 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 238-251, May.
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    Cited by:

    1. Jarrett, Uchechukwu & Mohaddes, Kamiar & Mohtadi, Hamid, 2019. "Oil price volatility, financial institutions and economic growth," Energy Policy, Elsevier, vol. 126(C), pages 131-144.
    2. Kamiar Mohaddes & Mehdi Raissi, 2019. "The US oil supply revolution and the global economy," Empirical Economics, Springer, vol. 57(5), pages 1515-1546, November.
    3. Burney, Nadeem A. & Mohaddes, Kamiar & Alawadhi, Ahmad & Al-Musallam, Marwa, 2018. "The dynamics and determinants of Kuwait's long-run economic growth," Economic Modelling, Elsevier, vol. 71(C), pages 289-304.
    4. Mohaddes, Kamiar & Pesaran, M. Hashem, 2016. "Country-specific oil supply shocks and the global economy: A counterfactual analysis," Energy Economics, Elsevier, vol. 59(C), pages 382-399.

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    More about this item

    Keywords

    Oil prices and extraction; terminal price of oil; time to depletion; nonrenewable resources; oil demand estimations; and oil extraction costs.;
    All these keywords.

    JEL classification:

    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models
    • Q31 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Nonrenewable Resources and Conservation - - - Demand and Supply; Prices
    • Q47 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Energy - - - Energy Forecasting

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