IDEAS home Printed from https://ideas.repec.org/p/arx/papers/1809.00817.html
   My bibliography  Save this paper

Model Risk in Real Option Valuation

Author

Listed:
  • Carol Alexander
  • Xi Chen

Abstract

We introduce a general decision tree framework to value an option to invest/divest in a project, focusing on the model risk inherent in the assumptions made by standard real option valuation methods. We examine how real option values depend on the dynamics of project value and investment costs, the frequency of exercise opportunities, the size of the project relative to initial wealth, the investor's risk tolerance (and how it changes with wealth) and several other choices about model structure. For instance, contrary to stylized facts from previous literature, real option values can actually decrease with the volatility of the underlying project value and increase with investment costs.

Suggested Citation

  • Carol Alexander & Xi Chen, 2018. "Model Risk in Real Option Valuation," Papers 1809.00817, arXiv.org, revised Sep 2018.
  • Handle: RePEc:arx:papers:1809.00817
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/1809.00817
    File Function: Latest version
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Lisa Meulbroek, 2001. "The Efficiency of Equity-Linked Compensation: Understanding the Full Cost of Awarding Executive Stock Options," Financial Management, Financial Management Association, vol. 30(2), Summer.
    2. M. R. Grasselli, 2011. "Getting Real with Real Options: A Utility–Based Approach for Finite–Time Investment in Incomplete Markets," Journal of Business Finance & Accounting, Wiley Blackwell, vol. 38(5-6), pages 740-764, June.
    3. Sebastian Jaimungal & Max O. de Souza & Jorge P. Zubelli, 2013. "Real option pricing with mean-reverting investment and project value," The European Journal of Finance, Taylor & Francis Journals, vol. 19(7-8), pages 625-644, September.
    4. De Reyck, Bert & Degraeve, Zeger & Vandenborre, Roger, 2008. "Project options valuation with net present value and decision tree analysis," European Journal of Operational Research, Elsevier, vol. 184(1), pages 341-355, January.
    5. Roger Adkins & Dean Paxson, 2013. "The Tourinho model: neglected nugget or a receding relic?," The European Journal of Finance, Taylor & Francis Journals, vol. 19(7-8), pages 604-624, September.
    6. J. Muñoz & J. Contreras & J. Caamaño & P. Correia, 2011. "A decision-making tool for project investments based on real options: the case of wind power generation," Annals of Operations Research, Springer, vol. 186(1), pages 465-490, June.
    7. Keeney,Ralph L. & Raiffa,Howard, 1993. "Decisions with Multiple Objectives," Cambridge Books, Cambridge University Press, number 9780521438834.
    8. Krysiak, Frank C., 2008. "Prices vs. quantities: The effects on technology choice," Journal of Public Economics, Elsevier, vol. 92(5-6), pages 1275-1287, June.
    9. Nelson, Daniel B & Ramaswamy, Krishna, 1990. "Simple Binomial Processes as Diffusion Approximations in Financial Models," The Review of Financial Studies, Society for Financial Studies, vol. 3(3), pages 393-430.
    10. Merton, Robert C., 1971. "Optimum consumption and portfolio rules in a continuous-time model," Journal of Economic Theory, Elsevier, vol. 3(4), pages 373-413, December.
    11. Bøckman, Thor & Fleten, Stein-Erik & Juliussen, Erik & Langhammer, Håvard J. & Revdal, Ingemar, 2008. "Investment timing and optimal capacity choice for small hydropower projects," European Journal of Operational Research, Elsevier, vol. 190(1), pages 255-267, October.
    12. Kahl, Matthias & Liu, Jun & Longstaff, Francis A., 2003. "Paper millionaires: how valuable is stock to a stockholder who is restricted from selling it?," Journal of Financial Economics, Elsevier, vol. 67(3), pages 385-410, March.
    13. Chronopoulos, Michail & De Reyck, Bert & Siddiqui, Afzal, 2011. "Optimal investment under operational flexibility, risk aversion, and uncertainty," European Journal of Operational Research, Elsevier, vol. 213(1), pages 221-237, August.
    14. 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.
    15. Rita Gunther McGrath & Atul Nerkar, 2004. "Real options reasoning and a new look at the R&D investment strategies of pharmaceutical firms," Strategic Management Journal, Wiley Blackwell, vol. 25(1), pages 1-21, January.
    16. Trigeorgis, Lenos, 1993. "The Nature of Option Interactions and the Valuation of Investments with Multiple Real Options," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 28(1), pages 1-20, March.
    17. 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.
    18. Miao, Jianjun & Wang, Neng, 2007. "Investment, consumption, and hedging under incomplete markets," Journal of Financial Economics, Elsevier, vol. 86(3), pages 608-642, December.
    19. 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.
    20. Capozza, Dennis R & Sick, Gordon A, 1991. "Valuing Long-Term Leases: The Option to Redevelop," The Journal of Real Estate Finance and Economics, Springer, vol. 4(2), pages 209-223, June.
    21. Dahlgren, Eric & Leung, Tim, 2015. "An optimal multiple stopping approach to infrastructure investment decisions," Journal of Economic Dynamics and Control, Elsevier, vol. 53(C), pages 251-267.
    22. Jonathan E. Ingersoll, Jr., 2006. "The Subjective and Objective Evaluation of Incentive Stock Options," The Journal of Business, University of Chicago Press, vol. 79(2), pages 453-488, March.
    23. 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.
    24. Luo, Pengfei & Wang, Huamao & Yang, Zhaojun, 2016. "Investment and financing for SMEs with a partial guarantee and jump risk," European Journal of Operational Research, Elsevier, vol. 249(3), pages 1161-1168.
    25. Alberto Moel, 2002. "When Are Real Options Exercised? An Empirical Study of Mine Closings," The Review of Financial Studies, Society for Financial Studies, vol. 15(1), pages 35-64, March.
    26. Luiz E. Brandão & James S. Dyer & Warren J. Hahn, 2005. "Response to Comments on Brandão et al. (2005)," Decision Analysis, INFORMS, vol. 2(2), pages 103-109, June.
    27. Fontes, Dalila B.M.M., 2008. "Fixed versus flexible production systems: A real options analysis," European Journal of Operational Research, Elsevier, vol. 188(1), pages 169-184, July.
    28. Alexander, David Richard & Mo, Mengjia & Stent, Alan Fraser, 2012. "Arithmetic Brownian motion and real options," European Journal of Operational Research, Elsevier, vol. 219(1), pages 114-122.
    29. Hagspiel, Verena & Huisman, Kuno J.M. & Kort, Peter M. & Nunes, Cláudia, 2016. "How to escape a declining market: Capacity investment or Exit?," European Journal of Operational Research, Elsevier, vol. 254(1), pages 40-50.
    30. Han T. J. Smit & L. A. Ankum, 1993. "A Real Options and Game-Theoretic Approach to," Financial Management, Financial Management Association, vol. 22(3), Fall.
    31. Grenadier, Steven R, 1996. "The Strategic Exercise of Options: Development Cascades and Overbuilding in Real Estate Markets," Journal of Finance, American Finance Association, vol. 51(5), pages 1653-1679, December.
    32. Robert JARROW & Andrew RUDD, 2008. "Approximate Option Valuation For Arbitrary Stochastic Processes," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 1, pages 9-31, World Scientific Publishing Co. Pte. Ltd..
    33. 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.
    34. Nalin Kulatilaka & Enrico C. Perotti, 1998. "Strategic Growth Options," Management Science, INFORMS, vol. 44(8), pages 1021-1031, August.
    35. Morellec, Erwan & Zhdanov, Alexei, 2005. "The dynamics of mergers and acquisitions," Journal of Financial Economics, Elsevier, vol. 77(3), pages 649-672, September.
    36. MOSSIN, Jan, 1968. "Optimal multiperiod portfolio policies," LIDAM Reprints CORE 19, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    37. Jonathan Evans & Vicky Henderson & David Hobson, 2008. "Optimal Timing For An Indivisible Asset Sale," Mathematical Finance, Wiley Blackwell, vol. 18(4), pages 545-567, October.
    38. Boomsma, Trine Krogh & Meade, Nigel & Fleten, Stein-Erik, 2012. "Renewable energy investments under different support schemes: A real options approach," European Journal of Operational Research, Elsevier, vol. 220(1), pages 225-237.
    39. Quigg, Laura, 1993. "Empirical Testing of Real Option-Pricing Models," Journal of Finance, American Finance Association, vol. 48(2), pages 621-640, June.
    40. Alejandro Mac Cawley & Maximiliano Cubillos & Rodrigo Pascual, 2020. "A real options approach for joint overhaul and replacement strategies with mean reverting prices," Annals of Operations Research, Springer, vol. 286(1), pages 303-324, March.
    41. Henderson, Vicky & Hobson, David G., 2002. "Real options with constant relative risk aversion," Journal of Economic Dynamics and Control, Elsevier, vol. 27(2), pages 329-355, December.
    42. Choi, Kyoung Jin & Kwak, Minsuk & Shim, Gyoocheol, 2017. "Time preference and real investment," Journal of Economic Dynamics and Control, Elsevier, vol. 83(C), pages 18-33.
    43. 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.
    44. Adkins, Roger & Paxson, Dean, 2011. "Renewing Assets with Uncertain Revenues and Operating Costs," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 46(3), pages 785-813, June.
    45. Bruce Kogut, 1991. "Joint Ventures and the Option to Expand and Acquire," Management Science, INFORMS, vol. 37(1), pages 19-33, January.
    46. 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.
    47. Farnaz Farzan & Khashayar Mahani & Kaveh Gharieh & Mohsen Jafari, 2015. "Microgrid investment under uncertainty: a real option approach using closed form contingent analysis," Annals of Operations Research, Springer, vol. 235(1), pages 259-276, December.
    48. James E. Smith, 2005. "Alternative Approaches for Solving Real-Options Problems," Decision Analysis, INFORMS, vol. 2(2), pages 89-102, June.
    49. David L. Ikenberry & Theo Vermaelen, 1996. "The Option to Repurchase Stock," Financial Management, Financial Management Association, vol. 25(4), Winter.
    50. Sergio Franklin, 2015. "Investment decisions in mobile telecommunications networks applying real options," Annals of Operations Research, Springer, vol. 226(1), pages 201-220, March.
    51. Conrad, Jon M., 2000. "Wilderness: options to preserve, extract, or develop," Resource and Energy Economics, Elsevier, vol. 22(3), pages 205-219, July.
    52. Nunes, Cláudia & Pimentel, Rita, 2017. "Analytical solution for an investment problem under uncertainties with shocks," European Journal of Operational Research, Elsevier, vol. 259(3), pages 1054-1063.
    53. Myers, Stewart C., 1977. "Determinants of corporate borrowing," Journal of Financial Economics, Elsevier, vol. 5(2), pages 147-175, November.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Alexander, Carol & Chen, Xi & Ward, Charles, 2021. "Risk-adjusted valuation for real option decisions," Journal of Economic Behavior & Organization, Elsevier, vol. 191(C), pages 1046-1064.
    2. Mesias Alfeus & James Collins, 2023. "A novel stochastic modeling framework for coal production and logistics through options pricing analysis," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 9(1), pages 1-19, December.

    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. Alexander, Carol & Chen, Xi & Ward, Charles, 2021. "Risk-adjusted valuation for real option decisions," Journal of Economic Behavior & Organization, Elsevier, vol. 191(C), pages 1046-1064.
    2. Carol Alexander & Xi Chen, 2012. "A General Approach to Real Option Valuation with Applications to Real Estate Investments," ICMA Centre Discussion Papers in Finance icma-dp2012-04, Henley Business School, University of Reading.
    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. 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, August.
    5. Trigeorgis, Lenos & Tsekrekos, Andrianos E., 2018. "Real Options in Operations Research: A Review," European Journal of Operational Research, Elsevier, vol. 270(1), pages 1-24.
    6. Kyungwon Kim & Jae Wook Song, 2018. "Managing Bubbles in the Korean Real Estate Market: A Real Options Framework," Sustainability, MDPI, vol. 10(8), pages 1-25, August.
    7. Schachter, J.A. & Mancarella, P., 2016. "A critical review of Real Options thinking for valuing investment flexibility in Smart Grids and low carbon energy systems," Renewable and Sustainable Energy Reviews, Elsevier, vol. 56(C), pages 261-271.
    8. Felipe Isaza Cuervo & Sergio Botero Boterob, 2014. "Aplicación de las opciones reales en la toma de decisiones en los mercados de electricidad," Estudios Gerenciales, Universidad Icesi, November.
    9. Carol Alexander & Xi Chen, 2014. "Risk-adjusted Valuation of the Real Option to Invest," ICMA Centre Discussion Papers in Finance icma-dp2014-19, Henley Business School, University of Reading.
    10. Han T. J. Smit & Lenos Trigeorgis, 2017. "Strategic NPV: Real Options and Strategic Games under Different Information Structures," Strategic Management Journal, Wiley Blackwell, vol. 38(13), pages 2555-2578, December.
    11. Lambrecht, Bart M., 2017. "Real options in finance," Journal of Banking & Finance, Elsevier, vol. 81(C), pages 166-171.
    12. Fleten, Stein-Erik & Linnerud, Kristin & Molnár, Peter & Tandberg Nygaard, Maria, 2016. "Green electricity investment timing in practice: Real options or net present value?," Energy, Elsevier, vol. 116(P1), pages 498-506.
    13. Rodolphe Durand & Robert M. Grant & Tammy L. Madsen & Lenos Trigeorgis & Jeffrey J. Reuer, 2017. "Real options theory in strategic management," Strategic Management Journal, Wiley Blackwell, vol. 38(1), pages 42-63, January.
    14. 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.
    15. Jeffrey J. Reuer & Tony W. Tong, 2007. "Corporate investments and growth options," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 28(8), pages 863-877.
    16. Hahn, Warren J. & Dyer, James S., 2008. "Discrete time modeling of mean-reverting stochastic processes for real option valuation," European Journal of Operational Research, Elsevier, vol. 184(2), pages 534-548, January.
    17. Han Smit & Enrico Pennings & Sjoerd Bekkum, 2017. "Real options and institutions," Journal of International Business Studies, Palgrave Macmillan;Academy of International Business, vol. 48(5), pages 620-644, July.
    18. Li, Yong & James, Barclay & Madhavan, Ravi & Mahoney, Joseph T., 2006. "Real Options: Taking Stock and Looking Ahead," Working Papers 06-0114, University of Illinois at Urbana-Champaign, College of Business.
    19. 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.
    20. Vicky Henderson & David Hobson, 2013. "Risk Aversion, Indivisible Timing Options, and Gambling," Operations Research, INFORMS, vol. 61(1), pages 126-137, February.

    More about this item

    JEL classification:

    • C44 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Operations Research; Statistical Decision Theory
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
    • G30 - Financial Economics - - Corporate Finance and Governance - - - General

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    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:arx:papers:1809.00817. 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: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    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.