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The valuation of European options in uncertain environment

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  • Yoshida, Yuji

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  • Yoshida, Yuji, 2003. "The valuation of European options in uncertain environment," European Journal of Operational Research, Elsevier, vol. 145(1), pages 221-229, February.
    • Handle: RePEc:eee:ejores:v:145:y:2003:i:1:p:221-229
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    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. Yao, Jing-Shing & Su, Jin-Shieh, 2000. "Fuzzy inventory with backorder for fuzzy total demand based on interval-valued fuzzy set," European Journal of Operational Research, Elsevier, vol. 124(2), pages 390-408, July.
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    Cited by:

    1. Gradojevic Nikola, 2016. "Multi-criteria classification for pricing European options," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 20(2), pages 123-139, April.
    2. Zhang, Wei-Guo & Li, Zhe & Liu, Yong-Jun, 2018. "Analytical pricing of geometric Asian power options on an underlying driven by a mixed fractional Brownian motion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 402-418.
    3. Collan, Mikael, 2008. "New Method for Real Option Valuation Using Fuzzy Numbers," Working Papers 466, IAMSR, Åbo Akademi.
    4. K. Maris & K. Nikolopoulos & K. Giannelos & V. Assimakopoulos, 2007. "Options trading driven by volatility directional accuracy," Applied Economics, Taylor & Francis Journals, vol. 39(2), pages 253-260.
    5. 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.
    6. Xiayan Zhang & Jingbo Yin, 2023. "Assessment of investment decisions in bulk shipping through fuzzy real options analysis," Maritime Economics & Logistics, Palgrave Macmillan;International Association of Maritime Economists (IAME), vol. 25(1), pages 122-139, March.
    7. Prudence Djagba & Callixte Ndizihiwe, 2024. "Pricing American Options using Machine Learning Algorithms," Papers 2409.03204, arXiv.org.
    8. 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.
    9. Collan, Mikael & Fullér, Robert & József, Mezei, 2008. "A Fuzzy Pay-off Method for Real Option Valuation," MPRA Paper 13601, University Library of Munich, Germany.
    10. Wei-Guo Zhang & Zhe Li & Yong-Jun Liu & Yue Zhang, 2021. "Pricing European Option Under Fuzzy Mixed Fractional Brownian Motion Model with Jumps," Computational Economics, Springer;Society for Computational Economics, vol. 58(2), pages 483-515, August.
    11. Xu, Weidong & Wu, Chongfeng & Xu, Weijun & Li, Hongyi, 2009. "A jump-diffusion model for option pricing under fuzzy environments," Insurance: Mathematics and Economics, Elsevier, vol. 44(3), pages 337-344, June.
    12. Xiaoyu Ji & Hua Ke, 2017. "No-arbitrage theorem for multi-factor uncertain stock model with floating interest rate," Fuzzy Optimization and Decision Making, Springer, vol. 16(2), pages 221-234, June.
    13. Jorge de Andrés-Sánchez, 2023. "Fuzzy Random Option Pricing in Continuous Time: A Systematic Review and an Extension of Vasicek’s Equilibrium Model of the Term Structure," Mathematics, MDPI, vol. 11(11), pages 1-21, May.
    14. Lu, Ziqiang & Zhu, Yuanguo & Li, Bo, 2019. "Critical value-based Asian option pricing model for uncertain financial markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 694-703.
    15. Li, Jun & Xu, Jiuping, 2009. "A novel portfolio selection model in a hybrid uncertain environment," Omega, Elsevier, vol. 37(2), pages 439-449, April.
    16. Xianfei Hui & Baiqing Sun & Hui Jiang & Indranil SenGupta, 2021. "Analysis of stock index with a generalized BN-S model: an approach based on machine learning and fuzzy parameters," Papers 2101.08984, arXiv.org, revised Feb 2022.
    17. Maria Letizia Guerra & Laerte Sorini & Luciano Stefanini, 2015. "Option prices by differential evolution," Working Papers 1511, University of Urbino Carlo Bo, Department of Economics, Society & Politics - Scientific Committee - L. Stefanini & G. Travaglini, revised 2015.
    18. Maria Letizia Guerra & Laerte Sorini & Luciano Stefanini, 2013. "Value function computation in fuzzy models by differential evolution," Working Papers 1311, University of Urbino Carlo Bo, Department of Economics, Society & Politics - Scientific Committee - L. Stefanini & G. Travaglini, revised 2013.
    19. Lin, Zhongguo & Han, Liyan & Li, Wei, 2021. "Option replication with transaction cost under Knightian uncertainty," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 567(C).
    20. Zmeskal, Zdenek, 2005. "Value at risk methodology of international index portfolio under soft conditions (fuzzy-stochastic approach)," International Review of Financial Analysis, Elsevier, vol. 14(2), pages 263-275.
    21. Collan, Mikael, 2004. "Giga-Investments: Modelling the Valuation of Very Large Industrial Real Investments," MPRA Paper 4328, University Library of Munich, Germany.
    22. Miriam Alonso de la Fuente & Pedro Terán, 2020. "Harmonizing two approaches to fuzzy random variables," Fuzzy Optimization and Decision Making, Springer, vol. 19(2), pages 177-189, June.
    23. Nikola Gradojevic & Dragan Kukolj & Ramazan Gencay, 2011. "Clustering and Classification in Option Pricing," Review of Economic Analysis, Digital Initiatives at the University of Waterloo Library, vol. 3(2), pages 109-128, October.
    24. McGee, Richard J. & McGroarty, Frank, 2017. "The risk premium that never was: A fair value explanation of the volatility spread," European Journal of Operational Research, Elsevier, vol. 262(1), pages 370-380.

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