IDEAS home Printed from https://ideas.repec.org/a/inm/ordeca/v2y2005i2p69-88.html
   My bibliography  Save this article

Using Binomial Decision Trees to Solve Real-Option Valuation Problems

Author

Listed:
  • Luiz E. Brandão

    (IAG Business School, Pontifícia Universidade Católica do Rio de Janeiro, Rio de Janeiro, RJ 22453-900, Brazil)

  • James S. Dyer

    (McCombs School of Business, The University of Texas at Austin, Austin, Texas 78712)

  • Warren J. Hahn

    (McCombs School of Business, The University of Texas at Austin, Austin, Texas 78712)

Abstract

Traditional decision analysis methods can provide an intuitive approach to valuing projects with managerial flexibility or real options. The discrete-time approach to real-option valuation has typically been implemented in the finance literature using a binomial lattice framework. Instead, we use a binomial decision tree with risk-neutral probabilities to approximate the uncertainty associated with the changes in the value of a project over time. Both methods are based on the same principles, but we use dynamic programming to solve the binomial decision tree, thereby providing a computationally intensive but simpler and more intuitive solution. This approach also provides greater flexibility in the modeling of problems, including the ability to include multiple underlying uncertainties and concurrent options with complex payoff characteristics.

Suggested Citation

  • Luiz E. Brandão & James S. Dyer & Warren J. Hahn, 2005. "Using Binomial Decision Trees to Solve Real-Option Valuation Problems," Decision Analysis, INFORMS, vol. 2(2), pages 69-88, June.
  • Handle: RePEc:inm:ordeca:v:2:y:2005:i:2:p:69-88
    DOI: 10.1287/deca.1050.0040
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/deca.1050.0040
    Download Restriction: no

    File URL: https://libkey.io/10.1287/deca.1050.0040?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Eduardo Schwartz & James E. Smith, 2000. "Short-Term Variations and Long-Term Dynamics in Commodity Prices," Management Science, INFORMS, vol. 46(7), pages 893-911, July.
    2. James E. Smith & Robert F. Nau, 1995. "Valuing Risky Projects: Option Pricing Theory and Decision Analysis," Management Science, INFORMS, vol. 41(5), pages 795-816, May.
    3. James E. Smith & Kevin F. McCardle, 1998. "Valuing Oil Properties: Integrating Option Pricing and Decision Analysis Approaches," Operations Research, INFORMS, vol. 46(2), pages 198-217, April.
    4. 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.
    5. 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.
    6. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
    7. Luiz Brandão & James Dyer, 2005. "Decision Analysis and Real Options: A Discrete Time Approach to Real Option Valuation," Annals of Operations Research, Springer, vol. 135(1), pages 21-39, March.
    8. Alex Triantis & Adam Borison, 2001. "Real Options: State Of The Practice," Journal of Applied Corporate Finance, Morgan Stanley, vol. 14(2), pages 8-24, June.
    9. James E. Smith & Kevin F. McCardle, 1999. "Options in the Real World: Lessons Learned in Evaluating Oil and Gas Investments," Operations Research, INFORMS, vol. 47(1), pages 1-15, February.
    10. Cox, John C. & Ross, Stephen A. & Rubinstein, Mark, 1979. "Option pricing: A simplified approach," Journal of Financial Economics, Elsevier, vol. 7(3), pages 229-263, September.
    11. James E. Smith & Detlof von Winterfeldt, 2004. "Anniversary Article: Decision Analysis in Management Science," Management Science, INFORMS, vol. 50(5), pages 561-574, May.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Lin Zhao & Sweder van Wijnbergen, 2013. "A Real Option Perspective on Valuing Gas Fields," Tinbergen Institute Discussion Papers 13-126/VI/DSF60, Tinbergen Institute.
    2. Marcel Philipp Müller & Sebastian Stöckl & Steffen Zimmermann & Bernd Heinrich, 2016. "Decision Support for IT Investment Projects," Business & Information Systems Engineering: The International Journal of WIRTSCHAFTSINFORMATIK, Springer;Gesellschaft für Informatik e.V. (GI), vol. 58(6), pages 381-396, December.
    3. Lander, Diane M. & Pinches, George E., 1998. "Challenges to the Practical Implementation of Modeling and Valuing Real Options," The Quarterly Review of Economics and Finance, Elsevier, vol. 38(3, Part 2), pages 537-567.
    4. Zmeskal, Zdenek, 2010. "Generalised soft binomial American real option pricing model (fuzzy-stochastic approach)," European Journal of Operational Research, Elsevier, vol. 207(2), pages 1096-1103, December.
    5. Secomandi, Nicola & Seppi, Duane J., 2014. "Real Options and Merchant Operations of Energy and Other Commodities," Foundations and Trends(R) in Technology, Information and Operations Management, now publishers, vol. 6(3-4), pages 161-331, July.
    6. Lim, Terence & Lo, Andrew W. & Merton, Robert C. & Scholes, Myron S., 2006. "The Derivatives Sourcebook," Foundations and Trends(R) in Finance, now publishers, vol. 1(5–6), pages 365-572, April.
    7. Carol Alexander & Xi Chen, 2021. "Model risk in real option valuation," Annals of Operations Research, Springer, vol. 299(1), pages 1025-1056, April.
    8. Miranda, Oscar & Brandão, Luiz E. & Lazo Lazo, Juan, 2017. "A dynamic model for valuing flexible mining exploration projects under uncertainty," Resources Policy, Elsevier, vol. 52(C), pages 393-404.
    9. Siña, Matías & Guzmán, Juan Ignacio, 2019. "Real option valuation of open pit mines with two processing methods," Journal of Commodity Markets, Elsevier, vol. 13(C), pages 30-39.
    10. Foo, Nam & Bloch, Harry & Salim, Ruhul, 2018. "The optimisation rule for investment in mining projects," Resources Policy, Elsevier, vol. 55(C), pages 123-132.
    11. Lin Zhao & Sweder van Wijnbergen, 2017. "Decision-making in incomplete markets with ambiguity—a case study of a gas field acquisition," Quantitative Finance, Taylor & Francis Journals, vol. 17(11), pages 1759-1782, November.
    12. Kitzing, Lena & Juul, Nina & Drud, Michael & Boomsma, Trine Krogh, 2017. "A real options approach to analyse wind energy investments under different support schemes," Applied Energy, Elsevier, vol. 188(C), pages 83-96.
    13. Zdenìk Zmeškal, 2008. "Application of the American Real Flexible Switch Options Methodology A Generalized Approach," Czech Journal of Economics and Finance (Finance a uver), Charles University Prague, Faculty of Social Sciences, vol. 58(05-06), pages 261-275, August.
    14. Carlos Andrés Zapata Quimbayo, 2020. "OPCIONES REALES Una guía teórico-práctica para la valoración de inversiones bajo incertidumbre mediante modelos en tiempo discreto y simulación de Monte Carlo," Books, Universidad Externado de Colombia, Facultad de Finanzas, Gobierno y Relaciones Internacionales, number 138, April.
    15. Savolainen, Jyrki, 2016. "Real options in metal mining project valuation: Review of literature," Resources Policy, Elsevier, vol. 50(C), pages 49-65.
    16. Jan Vlachý, 2009. "Solving the Capacity Optimization Problem under Demand Uncertainty," Romanian Economic Journal, Department of International Business and Economics from the Academy of Economic Studies Bucharest, vol. 12(34), pages 97-116, (4).
    17. Atul Chandra & Peter R. Hartley & Gopalan Nair, 2022. "Multiple Volatility Real Options Approach to Investment Decisions Under Uncertainty," Decision Analysis, INFORMS, vol. 19(2), pages 79-98, June.
    18. Collan, Mikael, 2004. "Giga-Investments: Modelling the Valuation of Very Large Industrial Real Investments," MPRA Paper 4328, University Library of Munich, Germany.
    19. Seiji Harikae & James S. Dyer & Tianyang Wang, 2021. "Valuing Real Options in the Volatile Real World," Production and Operations Management, Production and Operations Management Society, vol. 30(1), pages 171-189, January.
    20. Balibrea-Iniesta, José & Rodríguez-Monroy, Carlos & Núñez-Guerrero, Yilsy María, 2021. "Economic analysis of the German regulation for electrical generation projects from biogas applying the theory of real options," Energy, Elsevier, vol. 231(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:inm:ordeca:v:2:y:2005:i:2:p:69-88. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.