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Pollution-adjusted optimal leasing value of oil and gas reserves

Author

Listed:
  • Ons Triki

    (University of Sfax)

  • Fathi Abid

    (University of Sfax)

Abstract

This paper investigates the optimal extraction strategy, the royalty of an equilibrium leasing contract, and the behavior of equilibrium oil or gas spot prices while considering two different market structures: pure monopoly and pure competition. The idea of sustainable development, or more specifically, the harmony between economy, ecology, and society, is the foundation for the modeling of the oil or gas lease. The stochastic optimal control approach is used through the derivation of a Hamilton–Jacobi Bellman (HJB) equation to specify an explicit solution to the optimal profit problem for investors with the power utility function under a monopolistic market structure and a competitive market structure without discoveries. Based on an isoelastic demand function, this paper creates net price models that consider changes in reserve levels, the policy for extraction rates, the pollution level, and the risk of oil and gas reserves being developed and produced. The equilibrium rental is established by balancing the time value of the rental with the expected present value of profits. The model is considered an American option when examining the ideal period for oil and gas exploration. The findings indicate that the extraction level is an increasing function of stock, depending on whether a monopolistic or competitive system is in place. The profit-tax cost function linked to environmental emissions is determined by modeling the physical quantity of pollution generated by the lessee during extraction, in line with the “polluter pays” principle. Price increases proportionally to the physical amount of pollution, but only to a limited extent; after that, price increases become less significant. When negotiating the contract, the government charges the lessee a higher rental cost proportional to the pollution level.

Suggested Citation

  • Ons Triki & Fathi Abid, 2025. "Pollution-adjusted optimal leasing value of oil and gas reserves," Environmental Economics and Policy Studies, Springer;Society for Environmental Economics and Policy Studies - SEEPS, vol. 27(2), pages 203-230, April.
    • Handle: RePEc:spr:envpol:v:27:y:2025:i:2:d:10.1007_s10018-024-00419-y
    DOI: 10.1007/s10018-024-00419-y
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    References listed on IDEAS

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    1. Ryan Kellogg, 2014. "The Effect of Uncertainty on Investment: Evidence from Texas Oil Drilling," American Economic Review, American Economic Association, vol. 104(6), pages 1698-1734, June.
    2. John G. Riley, 1988. "Ex Post Information in Auctions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 55(3), pages 409-429.
    3. Kohn, Robert E, 1972. "Price Elasticities of Demand and Air Pollution Control," The Review of Economics and Statistics, MIT Press, vol. 54(4), pages 392-400, November.
    4. Ruff, Larry E, 1972. "A Note on Pollution Prices in a General Equilibrium Model," American Economic Review, American Economic Association, vol. 62(1), pages 186-192, March.
    5. Miller, Merton H & Upton, Charles W, 1985. "A Test of the Hotelling Valuation Principle," Journal of Political Economy, University of Chicago Press, vol. 93(1), pages 1-25, February.
    6. Myers, Stewart C. & Majd, Saman., 1983. "Calculating abandonment value using option pricing theory," Working papers 1462-83., Massachusetts Institute of Technology (MIT), Sloan School of Management.
    7. Merton, Robert C, 1974. "On the Pricing of Corporate Debt: The Risk Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 29(2), pages 449-470, May.
    8. Harold Hotelling, 1931. "The Economics of Exhaustible Resources," Journal of Political Economy, University of Chicago Press, vol. 39(2), pages 137-137.
    9. Robert McDonald & Daniel Siegel, 1986. "The Value of Waiting to Invest," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 101(4), pages 707-727.
    10. David Griggs & Mark Stafford-Smith & Owen Gaffney & Johan Rockström & Marcus C. Öhman & Priya Shyamsundar & Will Steffen & Gisbert Glaser & Norichika Kanie & Ian Noble, 2013. "Sustainable development goals for people and planet," Nature, Nature, vol. 495(7441), pages 305-307, March.
    11. Brown, Jason P. & Fitzgerald, Timothy & Weber, Jeremy G., 2016. "Capturing rents from natural resource abundance: Private royalties from U.S. onshore oil & gas production," Resource and Energy Economics, Elsevier, vol. 46(C), pages 23-38.
    12. Nikunj Kumar Jain & Abinash Panda & Piyush Choudhary, 2020. "Institutional pressures and circular economy performance: The role of environmental management system and organizational flexibility in oil and gas sector," Business Strategy and the Environment, Wiley Blackwell, vol. 29(8), pages 3509-3525, December.
    13. Margaret E. Slade & Henry Thille, 2009. "Whither Hotelling: Tests of the Theory of Exhaustible Resources," Annual Review of Resource Economics, Annual Reviews, vol. 1(1), pages 239-259, September.
    14. Ons Triki & Fathi Abid, 2022. "Contingent convertible lease modeling and credit risk management," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 8(1), pages 1-29, December.
    15. Sundaresan, Suresh M, 1984. "Equilibrium Valuation of Natural Resources," The Journal of Business, University of Chicago Press, vol. 57(4), pages 493-518, October.
    16. Constantinides, George M, 1978. "Market Risk Adjustment in Project Valuation," Journal of Finance, American Finance Association, vol. 33(2), pages 603-616, May.
    17. Mikhail Dvoynikov & George Buslaev & Andrey Kunshin & Dmitry Sidorov & Andrzej Kraslawski & Margarita Budovskaya, 2021. "New Concepts of Hydrogen Production and Storage in Arctic Region," Resources, MDPI, vol. 10(1), pages 1-18, January.
    18. Stiglitz, Joseph E, 1976. "Monopoly and the Rate of Extraction of Exhaustible Resources," American Economic Review, American Economic Association, vol. 66(4), pages 655-661, September.
    19. 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.
    20. Milton C. Weinstein & Richard J. Zeckhauser, 1975. "The Optimal Consumption of Depletable Natural Resources," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 89(3), pages 371-392.
    21. Hendricks, Kenneth & Porter, Robert H & Tan, Guofo, 1993. "Optimal Selling Strategies for Oil and Gas Leases with an Informed Buyer," American Economic Review, American Economic Association, vol. 83(2), pages 234-239, May.
    22. McDonald, Robert L & Siegel, Daniel R, 1985. "Investment and the Valuation of Firms When There Is an Option to Shut Down," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 26(2), pages 331-349, June.
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