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On the timing of non-renewable resource extraction with regime switching prices: an optimal stochastic control approach

Author

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  • Margaret Insley

    (Department of Economics, University of Waterloo)

Abstract

This paper develops a model of a profit maximizing firm with the option to exploit a non-renewable resource, choosing the timing and pace of development. The resource price is modelled as a regime switching process, which is calibrated to oil futures prices. A Hamilton-Jacobi-Bellman equation is specified that describes the profit maximization decision of the firm. The model is applied to a problem of optimal investment in a typical oils sands in situ operation, and solved for critical levels of oil prices that would motivate a firm to make the large scale investment needed for oil sands extraction, as well to operate, mothball or abandon the facility. The paper focuses on the impact of regime shifts on the optimal timing of investment and extraction compared with the case when the possibility of future regime shifts is ignored.

Suggested Citation

  • Margaret Insley, 2013. "On the timing of non-renewable resource extraction with regime switching prices: an optimal stochastic control approach," Working Papers 1302, University of Waterloo, Department of Economics, revised Aug 2013.
  • Handle: RePEc:wat:wpaper:1302
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    References listed on IDEAS

    as
    1. Chen, Shan & Insley, Margaret, 2012. "Regime switching in stochastic models of commodity prices: An application to an optimal tree harvesting problem," Journal of Economic Dynamics and Control, Elsevier, vol. 36(2), pages 201-219.
    2. Avinash Dixit, 1989. "Hysteresis, Import Penetration, and Exchange Rate Pass-Through," The Quarterly Journal of Economics, Oxford University Press, vol. 104(2), pages 205-228.
    3. Niu, Shilei & Insley, Margaret, 2016. "An options pricing approach to ramping rate restrictions at hydro power plants," Journal of Economic Dynamics and Control, Elsevier, vol. 63(C), pages 25-52.
    4. Conrad,Jon M., 2010. "Resource Economics," Cambridge Books, Cambridge University Press, number 9780521697675.
    5. Conrad, Jon M. & Kotani, Koji, 2005. "When to drill? Trigger prices for the Arctic National Wildlife Refuge," Resource and Energy Economics, Elsevier, vol. 27(4), pages 273-286, November.
    6. Abdullah Almansour and Margaret Insley, 2016. "The Impact of Stochastic Extraction Cost on the Value of an Exhaustible Resource: An Application to the Alberta Oil Sands," The Energy Journal, International Association for Energy Economics, vol. 0(Number 2).
    7. Mason, Charles F., 2001. "Nonrenewable Resources with Switching Costs," Journal of Environmental Economics and Management, Elsevier, vol. 42(1), pages 65-81, July.
    8. Esther W. Mezey & Jon M. Conrad, 2010. "Real Options in Resource Economics," Annual Review of Resource Economics, Annual Reviews, vol. 2(1), pages 33-52, October.
    9. Larsson, Karl & Nossman, Marcus, 2011. "Jumps and stochastic volatility in oil prices: Time series evidence," Energy Economics, Elsevier, vol. 33(3), pages 504-514, May.
    10. Janczura, Joanna & Weron, Rafal, 2010. "An empirical comparison of alternate regime-switching models for electricity spot prices," Energy Economics, Elsevier, vol. 32(5), pages 1059-1073, September.
    11. Dixit, Avinash K, 1989. "Entry and Exit Decisions under Uncertainty," Journal of Political Economy, University of Chicago Press, vol. 97(3), pages 620-638, June.
    12. Avinash Dixit, 1992. "Investment and Hysteresis," Journal of Economic Perspectives, American Economic Association, vol. 6(1), pages 107-132, Winter.
    13. Slade, Margaret E., 2001. "Valuing Managerial Flexibility: An Application of Real-Option Theory to Mining Investments," Journal of Environmental Economics and Management, Elsevier, vol. 41(2), pages 193-233, March.
    14. Margaret Insley & Kimberly Rollins, 2005. "On Solving the Multirotational Timber Harvesting Problem with Stochastic Prices: A Linear Complementarity Formulation," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 87(3), pages 735-755.
    15. Andre Plourde, 2009. "Oil Sands Royalties and Taxes in Alberta: An Assessment of Key Developments since the mid-1990s," The Energy Journal, International Association for Energy Economics, vol. 0(Number 1), pages 111-140.
    16. Schwartz, Eduardo S, 1997. " The Stochastic Behavior of Commodity Prices: Implications for Valuation and Hedging," Journal of Finance, American Finance Association, vol. 52(3), pages 923-973, July.
    17. Conrad,Jon M., 2010. "Resource Economics," Cambridge Books, Cambridge University Press, number 9780521874953.
    18. James L. Paddock & Daniel R. Siegel & James L. Smith, 1988. "Option Valuation of Claims on Real Assets: The Case of Offshore Petroleum Leases," The Quarterly Journal of Economics, Oxford University Press, vol. 103(3), pages 479-508.
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    Cited by:

    1. Giorgio Ferrari & Shuzhen Yang, 2016. "On an Optimal Extraction Problem with Regime Switching," Papers 1602.06765, arXiv.org, revised Dec 2017.
    2. Ferrari, Giorgio & Yang, Shuzhen, 2016. "On an optimal extraction problem with regime switching," Center for Mathematical Economics Working Papers 562, Center for Mathematical Economics, Bielefeld University.

    More about this item

    JEL classification:

    • Q30 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Nonrenewable Resources and Conservation - - - General
    • Q40 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Energy - - - General
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques

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