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Resource extraction with a carbon tax and regime switching prices: Exercising your options

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  • Insley, Margaret

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 as to operate, mothball or abandon the facility. Regime shifts can have an important effect on the optimal timing of investment and extraction. The paper examines the effect of several carbon tax schemes on optimal timing of construction, production and abandonment. A form of Green Paradox is identified.

Suggested Citation

  • Insley, Margaret, 2017. "Resource extraction with a carbon tax and regime switching prices: Exercising your options," Energy Economics, Elsevier, vol. 67(C), pages 1-16.
    • Handle: RePEc:eee:eneeco:v:67:y:2017:i:c:p:1-16
    DOI: 10.1016/j.eneco.2017.07.013
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    1. Date, Paresh & Mamon, Rogemar & Tenyakov, Anton, 2013. "Filtering and forecasting commodity futures prices under an HMM framework," Energy Economics, Elsevier, vol. 40(C), pages 1001-1013.
    2. Christian-Oliver Ewald & Ruolan Ouyang & Tak Kuen Siu, 2017. "On the Market-consistent Valuation of Fish Farms: Using the Real Option Approach and Salmon Futures," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 99(1), pages 207-224.
    3. 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.
    4. Mason, Charles F., 2001. "Nonrenewable Resources with Switching Costs," Journal of Environmental Economics and Management, Elsevier, vol. 42(1), pages 65-81, July.
    5. Ben Abdallah, Skander & Lasserre, Pierre, 2012. "A real option approach to the protection of a habitat dependent endangered species," Resource and Energy Economics, Elsevier, vol. 34(3), pages 295-318.
    6. 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.
    7. 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.
    8. Hamilton, James D, 1989. "A New Approach to the Economic Analysis of Nonstationary Time Series and the Business Cycle," Econometrica, Econometric Society, vol. 57(2), pages 357-384, March.
    9. Abdullah Almansour & 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, , vol. 37(2), pages 61-88, April.
    10. Avinash K. Dixit & Robert S. Pindyck, 1994. "Investment under Uncertainty," Economics Books, Princeton University Press, edition 1, number 5474.
    11. Kobari, L. & Jaimungal, S. & Lawryshyn, Y., 2014. "A real options model to evaluate the effect of environmental policies on the oil sands rate of expansion," Energy Economics, Elsevier, vol. 45(C), pages 155-165.
    12. 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.
    13. 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.
    14. Svetlana Borovkova, 2006. "Detecting market transitions and energy futures risk management using principal components," The European Journal of Finance, Taylor & Francis Journals, vol. 12(6-7), pages 495-512.
    15. Guo, Xin & Miao, Jianjun & Morellec, Erwan, 2005. "Irreversible investment with regime shifts," Journal of Economic Theory, Elsevier, vol. 122(1), pages 37-59, May.
    16. Sarkar, Sudipto, 2009. "Optimal fishery harvesting rules under uncertainty," Resource and Energy Economics, Elsevier, vol. 31(4), pages 272-286, November.
    17. 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.
    18. Christophe McGlade & Paul Ekins, 2015. "The geographical distribution of fossil fuels unused when limiting global warming to 2 °C," Nature, Nature, vol. 517(7533), pages 187-190, January.
    19. 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.
    20. Lucija Muehlenbachs, 2015. "A Dynamic Model Of Cleanup: Estimating Sunk Costs In Oil And Gas Production," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 56, pages 155-185, February.
    21. Brennan, Michael J & Schwartz, Eduardo S, 1985. "Evaluating Natural Resource Investments," The Journal of Business, University of Chicago Press, vol. 58(2), pages 135-157, April.
    22. Avinash Dixit, 1989. "Hysteresis, Import Penetration, and Exchange Rate Pass-Through," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 104(2), pages 205-228.
    23. Zhuliang Chen & Peter Forsyth, 2010. "Implications of a regime-switching model on natural gas storage valuation and optimal operation," Quantitative Finance, Taylor & Francis Journals, vol. 10(2), pages 159-176.
    24. 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.
    25. 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.
    26. Avinash Dixit, 1992. "Investment and Hysteresis," Journal of Economic Perspectives, American Economic Association, vol. 6(1), pages 107-132, Winter.
    27. 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.
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    Citations

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    Cited by:

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    3. Sara Aghakazemjourabbaf & Margaret Insley, 2018. "Optimal timing of harzardous waste clean-up under an environmental bond an a strict liability rule," Working Papers 1803, University of Waterloo, Department of Economics, revised 06 Jan 2018.
    4. Zheng, Lei & Hao, Jia & Ban, Nannan, 2023. "Do recycling and regulations influence trade-adjusted resource consumption? Exploring the role of renewable energy," Resources Policy, Elsevier, vol. 81(C).
    5. Boqiang Lin & Zhijie Jia, 2020. "Supply control vs. demand control: why is resource tax more effective than carbon tax in reducing emissions?," Palgrave Communications, Palgrave Macmillan, vol. 7(1), pages 1-13, December.
    6. Kougias, Ioannis & Szabó, Sándor & Nikitas, Alexandros & Theodossiou, Nicolaos, 2019. "Sustainable energy modelling of non-interconnected Mediterranean islands," Renewable Energy, Elsevier, vol. 133(C), pages 930-940.
    7. Lin, Boqiang & Jia, Zhijie, 2018. "The energy, environmental and economic impacts of carbon tax rate and taxation industry: A CGE based study in China," Energy, Elsevier, vol. 159(C), pages 558-568.
    8. Jia, Zhijie & Lin, Boqiang & Liu, Xiying, 2023. "Rethinking the equity and efficiency of carbon tax: A novel perspective," Applied Energy, Elsevier, vol. 346(C).
    9. Huhtala, Anni & Ropponen, Olli, 2020. "Resource and Environmental Policies for the Mining Industry: What Should Governments Do About the Increasing Social and Environmental Risks?," Working Papers 137, VATT Institute for Economic Research.
    10. Aghakazemjourabbaf, Sara & Insley, Margaret, 2021. "Leaving your tailings behind: Environmental bonds, bankruptcy and waste cleanup," Resource and Energy Economics, Elsevier, vol. 65(C).
    11. Lee, Sangjun & Zhao, Jinhua, 2021. "Adaptation to climate change: Extreme events versus gradual changes," Journal of Economic Dynamics and Control, Elsevier, vol. 133(C).

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    More about this item

    Keywords

    Non-renewable natural resources; Oil sands; Optimal control; HJB equation; Carbon tax; Regime switching;
    All these keywords.

    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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