IDEAS home Printed from https://ideas.repec.org/a/wut/journl/v1y2019p97-119id1344.html
   My bibliography  Save this article

The valuation of real options in a hybrid environment

Author

Listed:
  • Bogdan Rębiasz

Abstract

The aim of this paper is to present the possibilities and purposefulness of the application of fuzzy set theory to the valuation of real options. Owing to temporal fluctuations in the market, some input parameters in a model of a real option cannot always be expressed in a precise sense. Therefore, it is natural to consider them as a fuzzy numbers. Such an approach allows us to keep more information about the possible value of real options. A hybrid (fuzzy-stochastic) model for valuing a switch option is presented. Under these assumptions, the value of a switch option will be a fuzzy random set. This article assesses the incremental benefit of product switch options in steel plant projects. Such options are valued by Monte Carlo simulation and modelling the prices of and demand for steel products using fuzzy geometric Brownian motion. Finally, the value of a product switch option is defined by the upper and lower probability distribution function.

Suggested Citation

  • Bogdan Rębiasz, 2019. "The valuation of real options in a hybrid environment," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 29(1), pages 97-119.
  • Handle: RePEc:wut:journl:v:1:y:2019:p:97-119:id:1344
    DOI: 10.37190/ord190106
    as

    Download full text from publisher

    File URL: https://ord.pwr.edu.pl/assets/papers_archive/1344%20-%20published.pdf
    Download Restriction: no

    File URL: https://libkey.io/10.37190/ord190106?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. R. E. Bellman & L. A. Zadeh, 1970. "Decision-Making in a Fuzzy Environment," Management Science, INFORMS, vol. 17(4), pages 141-164, December.
    2. Zhang, Li-Hua & Zhang, Wei-Guo & Xu, Wei-Jun & Xiao, Wei-Lin, 2012. "The double exponential jump diffusion model for pricing European options under fuzzy environments," Economic Modelling, Elsevier, vol. 29(3), pages 780-786.
    3. K. Thiagarajah & A. Thavaneswaran, 2006. "Fuzzy random-coefficient volatility models with financial applications," Journal of Risk Finance, Emerald Group Publishing, vol. 7(5), pages 503-524, November.
    4. Huang, Ming-Guan, 2009. "Real options approach-based demand forecasting method for a range of products with highly volatile and correlated demand," European Journal of Operational Research, Elsevier, vol. 198(3), pages 867-877, November.
    5. Ozorio, Luiz de Magalhães & Bastian-Pinto, Carlos de Lamare & Baidya, Tara Keshar Nanda & Brandão, Luiz Eduardo Teixeira, 2013. "Investment decision in integrated steel plants under uncertainty," International Review of Financial Analysis, Elsevier, vol. 27(C), pages 55-64.
    6. 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.
    7. Bogdan Rębiasz & Bartłomiej Gaweł & Iwona Skalna, 2017. "Valuing managerial flexibility. An application of real-option theory to steel industry investments," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 27(2), pages 91-111.
    8. Bastian-Pinto, Carlos & Brando, Luiz & Hahn, Warren J., 2009. "Flexibility as a source of value in the production of alternative fuels: The ethanol case," Energy Economics, Elsevier, vol. 31(3), pages 411-422, 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. Bogdan Rębiasz & Bartłomiej Gaweł & Iwona Skalna, 2017. "Valuing managerial flexibility. An application of real-option theory to steel industry investments," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 27(2), pages 91-111.
    2. Xiao, Chang & Florescu, Ionut & Zhou, Jinsheng, 2020. "A comparison of pricing models for mineral rights: Copper mine in China," Resources Policy, Elsevier, vol. 65(C).
    3. Ozorio, Luiz de Magalhães & Bastian-Pinto, Carlos de Lamare & Baidya, Tara Keshar Nanda & Brandão, Luiz Eduardo Teixeira, 2013. "Investment decision in integrated steel plants under uncertainty," International Review of Financial Analysis, Elsevier, vol. 27(C), pages 55-64.
    4. Taylor-de-Lima, Reynaldo L.N. & Gerbasi da Silva, Arthur José & Legey, Luiz F.L. & Szklo, Alexandre, 2018. "Evaluation of economic feasibility under uncertainty of a thermochemical route for ethanol production in Brazil," Energy, Elsevier, vol. 150(C), pages 363-376.
    5. Foo, Nam & Bloch, Harry & Salim, Ruhul, 2018. "The optimisation rule for investment in mining projects," Resources Policy, Elsevier, vol. 55(C), pages 123-132.
    6. 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.
    7. Collan, Mikael, 2004. "Giga-Investments: Modelling the Valuation of Very Large Industrial Real Investments," MPRA Paper 4328, University Library of Munich, Germany.
    8. Oliveira, Sydnei Marssal de & Ribeiro, Celma de Oliveira & Cicogna, Maria Paula Vieira, 2018. "Uncertainty effects on production mix and on hedging decisions: The case of Brazilian ethanol and sugar," Energy Economics, Elsevier, vol. 70(C), pages 516-524.
    9. Vuciterna, Rina & Thomsen, Michael & Popp, Jennie & Musliu, Arben, 2017. "Efficiency and Competitiveness of Kosovo Raspberry Producers," 2017 Annual Meeting, February 4-7, 2017, Mobile, Alabama 252770, Southern Agricultural Economics Association.
    10. Helga Meier & Nicos Christofides & Gerry Salkin, 2001. "Capital Budgeting Under Uncertainty---An Integrated Approach Using Contingent Claims Analysis and Integer Programming," Operations Research, INFORMS, vol. 49(2), pages 196-206, April.
    11. Saphores, J.D. & Khalaf, L. & Pelletier, D., 2000. "On Jumps and ARCH Effects in Natural Resource Prices. An Application to Stumpage Prices from Pacific Northwest National Forests," Papers 00-03, Laval - Recherche en Energie.
    12. Berna Tektas Sivrikaya & Ferhan Cebi & Hasan Hüseyin Turan & Nihat Kasap & Dursun Delen, 2017. "A fuzzy long-term investment planning model for a GenCo in a hybrid electricity market considering climate change impacts," Information Systems Frontiers, Springer, vol. 19(5), pages 975-991, October.
    13. Collan, Mikael, 2008. "New Method for Real Option Valuation Using Fuzzy Numbers," Working Papers 466, IAMSR, Åbo Akademi.
    14. Kim, Jong Soon & Whang, Kyu-Seung, 1998. "A tolerance approach to the fuzzy goal programming problems with unbalanced triangular membership function," European Journal of Operational Research, Elsevier, vol. 107(3), pages 614-624, June.
    15. Berna Tektaş & Hasan Hüseyin Turan & Nihat Kasap & Ferhan Çebi & Dursun Delen, 2022. "A Fuzzy Prescriptive Analytics Approach to Power Generation Capacity Planning," Energies, MDPI, vol. 15(9), pages 1-26, April.
    16. Agliardi, Rossella, 2006. "Options to expand: Some remarks," Finance Research Letters, Elsevier, vol. 3(1), pages 65-72, March.
    17. Chen, Lisa Y. & Wang, Tien-Chin, 2009. "Optimizing partners' choice in IS/IT outsourcing projects: The strategic decision of fuzzy VIKOR," International Journal of Production Economics, Elsevier, vol. 120(1), pages 233-242, July.
    18. Bühler, Wolfgang & Korn, Olaf, 1998. "Hedging langfristiger Lieferverpflichtungen mit kurzfristigen Futures: möglich oder unmöglich?," ZEW Discussion Papers 98-20, ZEW - Leibniz Centre for European Economic Research.
    19. Víctor G. Alfaro-García & Anna M. Gil-Lafuente & Gerardo G. Alfaro Calderón, 2017. "A fuzzy approach to a municipality grouping model towards creation of synergies," Computational and Mathematical Organization Theory, Springer, vol. 23(3), pages 391-408, September.
    20. Adkins, Roger & Paxson, Dean, 2019. "Rescaling-contraction with a lower cost technology when revenue declines," European Journal of Operational Research, Elsevier, vol. 277(2), pages 574-586.

    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:wut:journl:v:1:y:2019:p:97-119:id:1344. 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: Adam Kasperski (email available below). General contact details of provider: https://edirc.repec.org/data/iopwrpl.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.