Journal of Applied Mathematics and Decision Sciences
Volume 2009 (2009), Article ID 238196, 14 pages
doi:10.1155/2009/238196
Research Article

A Fuzzy Pay-Off Method for Real Option Valuation

1IAMSR, Åbo Akademi University, Joukahaisenkatu 3-5 A, 20520 Turku, Finland
2Turku Centre for Computer Science, Joukahaisenkatu 3-5 B, 20520 Turku, Finland

Received 20 November 2008; Revised 22 February 2009; Accepted 19 March 2009

Academic Editor: Lean Yu

Copyright © 2009 Mikael Collan et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. R. Pindyck, “Irreversibility, uncertainty, and investment,” Journal of Economic Literature, vol. 29, no. 3, pp. 1110–1148, 1991.
  2. F. Black and M. Scholes, “The pricing of options and corporate liabilities,” Journal of Political Economy, vol. 81, no. 3, pp. 637–659, 1973. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  3. J. Cox, S. Ross, and M. Rubinstein, “Option pricing: a simplified approach,” Journal of Financial Economics, vol. 7, no. 3, pp. 229–263, 1979. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  4. P. P. Boyle, “Options: a Monte Carlo approach,” Journal of Financial Economics, vol. 4, no. 3, pp. 323–338, 1977. View at Publisher · View at Google Scholar
  5. V. Datar and S. Mathews, “A practical method for valuing real options: the boeing approach,” Journal of Applied Corporate Finance, vol. 19, no. 2, pp. 95–104, 2007.
  6. S. Mathews and J. Salmon, “Business engineering: a practical approach to valuing high-risk, high-return projects using real options,” in Tutorials in Operations Research, P. Gray, Ed., Informs, Hanover, Md, USA, 2007.
  7. V. Datar and S. Mathews, “European real options: an intuitive algorithm for the black scholes formula,” Journal of Applied Finance, vol. 14, no. 1, pp. 45–51, 2004.
  8. F. Knight, Risk, Uncertainty and Profit, Hart, Schaffner & Marx, Boston, Mass, USA, 1921.
  9. M. Tarrazo, “A methodology and model for qualitative business planning,” International Journal of Business Research, vol. 3, no. 1, pp. 41–62, 1997.
  10. C. Ponsard, “Fuzzy mathematical models in economics,” Fuzzy Sets and Systems, vol. 28, no. 3, pp. 273–283, 1988. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  11. L. A. Zadeh, “Fuzzy sets,” Information and Control, vol. 8, pp. 338–353, 1965. View at Zentralblatt MATH · View at MathSciNet
  12. R. E. Bellman and L. A. Zadeh, “Decision-making in a fuzzy environment,” Management Science, vol. 17, pp. B141–B164, 1970. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  13. C. Carlsson and R. Fullér, “On possibilistic mean value and variance of fuzzy numbers,” Fuzzy Sets and Systems, vol. 122, no. 2, pp. 315–326, 2001. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  14. J. J. Buckley, “The fuzzy mathematics of finance,” Fuzzy Sets and Systems, vol. 21, no. 3, pp. 257–273, 1987. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  15. S. Muzzioli and C. Torricelli, “A model for pricing an option with a fuzzy payoff,” Fuzzy Economics Review, vol. 6, no. 1, pp. 49–62, 2000.
  16. Y. Yoshida, “The valuation of European options in uncertain environment,” European Journal of Operational Research, vol. 145, no. 1, pp. 221–229, 2003. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  17. Z. Zmeškal, “Application of the fuzzy-stochastic methodology to appraising the firm value as a European call option,” European Journal of Operational Research, vol. 135, no. 2, pp. 303–310, 2001. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  18. C. Carlsson and R. Fullér, “A fuzzy approach to real option valuation,” Fuzzy Sets and Systems, vol. 139, no. 2, pp. 297–312, 2003. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  19. M. Collan, C. Carlsson, and P. Majlender, “Fuzzy black and scholes real options pricing,” Journal of Decision Systems, vol. 12, no. 3-4, pp. 391–416, 2003. View at Publisher · View at Google Scholar
  20. C. Carlsson and P. Majlender, “On fuzzy real option valuation,” in Proceedings of the 9th Annual International Conference on Real Options, Paris, France, June 2005.
  21. T. Chen, J. Zhang, S. Lin, and B. Yu, “Fuzzy real option analysis for IT investment in nuclear power station,” in Proceedings of the 7th International Conference on Computational Science (ICCS '07), pp. 953–959, Beijing, China, May 2007. View at Publisher · View at Google Scholar
  22. C. Tolga and C. Kahraman, “Fuzzy multiattribute evaluation of R&D projects using a real options valuation model,” International Journal of Intelligent Systems, vol. 23, no. 11, pp. 1153–1176, 2008. View at Publisher · View at Google Scholar
  23. M. Collan, Giga-investments: modelling the valuation of very large industrial real investments, Ph.D. thesis, Turku Centre for Computer Science, Turku, Finland, 2004.