Abstract
Despite the growing use of decision analysis in oil and gas investments, the industry continues to underperform in generating consistent value. Conventional valuation methods often treat uncertainty as a risk to be minimized rather than an opportunity to be exploited, overlooking the strategic role of managerial flexibility, or real options. At the same time, they typically assume risk neutrality, which misrepresents the industry’s inherently risk-averse decision-making culture. Common risk measures such as value-at-risk fail to capture true preferences, leading to distorted valuations and suboptimal decisions.
This study addresses these limitations by integrating Real Options Valuation (ROV) with Expected Utility Theory (EUT) to jointly incorporate flexibility and risk preferences into petroleum project evaluation. The contribution lies in a fully operational workflow that links influence-diagram structuring, probabilistic uncertainty modelling, and certainty-equivalent valuation within a recombining binomial decision tree. The framework is applied to a representative oil production project featuring divestment and buyout options. Risk aversion is represented through an exponential utility function, with project values expressed as certainty equivalents reflecting subjective risk tolerance.
Findings show risk preferences fundamentally alter value and optimal strategy. A risk-neutral decision-maker values the project at $280.9 million, while one with a $20 million risk tolerance values it at $200.2 million. Strategically, the risk-neutral agent continues operations in 50% of scenarios, whereas the risk-averse agent divests in 75%. Sensitivity analysis identifies a tipping point near 30 million USD, beyond which choices converge toward risk neutrality.
Overall, the proposed ROV–EUT framework delivers realistic, decision-consistent valuations and clarifies how flexibility protects downside exposure for conservative firms while enabling opportunity capture for more risk-tolerant ones.
References
Smith JE, McCardle KF. Valuing oil properties: Integrating option pricing and decision analysis approaches. Oper Res. 1998; 46(2): 198-217. https://doi.org/10.1287/opre.46.2.198
Trigeorgis L. Real Options: Managerial Flexibility and Strategy in Resource Allocation. Cambridge: MIT Press; 1996.
Dixit AK, Pindyck RS. Investment under Uncertainty. Princeton: Princeton University Press; 1994. https://doi.org/10.1515/9781400830176
Copeland T, Antikarov V. Real Options: A Practitioner’s Guide. New York: Texere; 2001.
Brandão LE, Dyer JS, Hahn WJ. Using binomial decision trees to solve real option valuation problems. Decis Anal. 2005; 2(2): 69-88. https://doi.org/10.1287/deca.1050.0040
Dias MAG. Real options theory for petroleum: A review. Energy Econ. 2019; 81: 305-23.
Ahmadi R, Bratvold RB. An exposition of least square Monte Carlo approach for real options valuation. J Petrol Sci Eng. 2023; 232: 111230. https://doi.org/10.1016/j.petrol.2022.111230
Bratvold RB, Begg SH. Making Good Decisions. Society of Petroleum Engineers; 2010. https://doi.org/10.2118/9781555632588
Hull JC. Risk Management and Financial Institutions. 4th ed. Wiley; 2015.
von Neumann J, Morgenstern O. Theory of Games and Economic Behavior. 2nd ed. Princeton: Princeton University Press; 1947.
Pratt JW. Risk aversion in the small and in the large. Econometrica. 1964; 32(1-2): 122-36.
Clemen RT, Reilly T. Making Hard Decisions with Decision Tools. 3rd ed. Cengage Learning; 2014.
Costa Lima GA, Suslick SB. Investment decision in oil and gas projects using real option and risk tolerance models. Int J Oil Gas Coal Technol. 2008; 1(1/2): 3-23. https://doi.org/10.1504/IJOGCT.2008.016729
Aspinall D, Bowe M, Kretzschmar GL. The practical use of real options in commodity projects: Evidence from mining and energy. Resour Policy. 2023; 82: 103608. https://doi.org/10.1016/j.resourpol.2023.103608
Kennedy J, Davies S. Barriers to the adoption of probabilistic methods in petroleum decision making: An empirical study. J Petrol Sci Eng. 2021; 205: 108870. https://doi.org/10.1016/j.petrol.2021.108870
MacMillan I. The adoption gap in real options valuation: Lessons from the oil and gas industry. Energy Econ. 2009; 31(1): 43-52. https://doi.org/10.1016/j.eneco.2008.08.002
Lee M. Why probabilistic thinking fails in engineering practice: A case study of oil and gas projects. SPE Econ Manag. 2015; 7(4): 156-64. https://doi.org/10.2118/167146-PA
Sarumpaet S, Purwanto A, Wibowo S. Real options valuation of oilfield projects under price and technical uncertainty: A binomial lattice approach. J Petrol Sci Eng. 2025; 237: 112094. https://doi.org/10.1016/j.petrol.2025.112094
Cox JC, Ross SA, Rubinstein M. Option pricing: A simplified approach. J Financ Econ. 1979; 7(3): 229-63. https://doi.org/10.1016/0304-405X(79)90015-1
Smith JE. Alternative approaches for solving real-options problems. Decis Anal. 2005; 2(2): 89-102. https://doi.org/10.1287/deca.1050.0041
Fedorov A, Shadrina E, Chudinova E. Application of real options valuation for marginal oilfield development under uncertainty. Resour Policy. 2020; 66: 101629. https://doi.org/10.1016/j.resourpol.2020.101629
Martins F, Antunes CH, Brito M. Valuation of investment in wave energy projects using real options: The case of Portugal. Energy. 2021; 219: 119581. https://doi.org/10.1016/j.energy.2020.119581
Schachter J, Uryasev S, Zabarankin M. Flexible manufacturing and real options: Input–output switching under uncertainty. Eur J Oper Res. 2019; 277(1): 331-43.
Hull JC. Options, Futures, and Other Derivatives. 10th ed. Pearson; 2018.
Longstaff FA, Schwartz ES. Valuing American options by simulation: A simple least-squares approach. Rev Financ Stud. 2001; 14(1): 113-47. https://doi.org/10.1093/rfs/14.1.113
Black F, Scholes M. The pricing of options and corporate liabilities. J Polit Econ. 1973; 81(3): 637-54. https://doi.org/10.1086/260062
Wood DA, Khosravanian R. Exponential utility functions aid upstream decision making. J Nat Gas Sci Eng. 2015; 27: 1482-94. https://doi.org/10.1016/j.jngse.2015.10.012
Velasquez HG, Deutsch CV. Decision making in the presence of geological uncertainty. Geostatistics Lessons. 2021.
Markowitz H. Portfolio selection. J Finance. 1952; 7(1): 77-91. https://doi.org/10.1111/j.1540-6261.1952.tb01525.x
Artzner P, Delbaen F, Eber JM, Heath D. Coherent measures of risk. Math Finance. 1999; 9(3): 203-28. https://doi.org/10.1111/1467-9965.00068
Bernoulli D. Specimen theoriae novae de mensura sortis. Commentarii Academiae Scientiarum Imperialis Petropolitanae. 1738; 5: 175-92.
Stearns C, Bernoulli D. Bernoulli’s theory of utility. J Risk Uncertain. 2000; 21: 103-20.
Edwards W. Utility theories: Measurement and applications. In: Edwards W, Ed. Handbook of Decision Analysis. 1992. https://doi.org/10.1007/978-94-011-2952-7
Howard RA, Abbas AE. Foundations of Decision Analysis. 2nd ed. Pearson; 2016.
Ahmadi R, Bratvold RB. Real options valuation under risk-neutrality and risk aversion for an oil production project. In: Energy Norway Conference; 2022.
Dias MAG. Real options analysis in petroleum projects: Investment opportunities at different stages of field development. Energy Policy. 2004; 32(2): 209-15. https://doi.org/10.1016/S0301-4215(02)00297-0
Jafarizadeh B, Alizadeh N, Reynolds AC. Real options and value of information in petroleum reservoir management. SPE Econ Manag. 2010; 2(4): 157-67. https://doi.org/10.2118/124905-PA
Söderholm P, Wårell L. Market uncertainties and investment in petroleum exploration. Energy Econ. 2011; 33(3): 471-8. https://doi.org/10.1016/j.eneco.2010.12.006
Mun J. Real Options Analysis: Tools and Techniques for Valuing Strategic Investments and Decisions. 2nd ed. Hoboken: Wiley; 2006.
Kodukula P, Papudesu C. Project Valuation Using Real Options: A Practitioner’s Guide. Fort Lauderdale: J. Ross Publishing; 2006.
Siddiqui AS, Fleten SE. How to treat risk in stochastic capacity expansion planning: The case of renewable energy. Energy Econ. 2010; 32(2): 415-25. https://doi.org/10.1016/j.eneco.2009.07.004
Kazempour J, Conejo AJ. Electricity market clearing under uncertainty and risk aversion. IEEE Trans Power Syst. 2015; 30(5): 2407-16. https://doi.org/10.1109/TPWRS.2014.2360104
Jin S, Ryan SM, Watson JP. What am I worth? The value of risk preferences in stochastic unit commitment. Oper Res. 2011; 59(3): 733-45. https://doi.org/10.1287/opre.1100.0890
Miao J, Wang N. Investment, consumption, and hedging under incomplete markets. J Financ Econ. 2007; 86(3): 608-42. https://doi.org/10.1016/j.jfineco.2006.10.006
Ekeland I, Karp L, Sumaila UR. Equilibrium resource management with risk‐averse agents. J Environ Econ Manage. 2015; 69: 1- 17. https://doi.org/10.1016/j.jeem.2014.10.003
Keeney RL, Raiffa H. Decisions with Multiple Objectives: Preferences and Value Tradeoffs. Cambridge: Cambridge University Press; 1993. https://doi.org/10.1017/CBO9781139174084
Farquhar PH. Utility assessment methods. Manage Sci. 1984; 30(11): 1283-300. https://doi.org/10.1287/mnsc.30.11.1283

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