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A multiperiod binomial model for pricing options in a vague world

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  • Muzzioli, Silvia
  • Torricelli, Costanza

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  • Muzzioli, Silvia & Torricelli, Costanza, 2004. "A multiperiod binomial model for pricing options in a vague world," Journal of Economic Dynamics and Control, Elsevier, vol. 28(5), pages 861-887, February.
    • Handle: RePEc:eee:dyncon:v:28:y:2004:i:5:p:861-887
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    References listed on IDEAS

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    1. Marco Avellaneda & Antonio ParAS, 1996. "Managing the volatility risk of portfolios of derivative securities: the Lagrangian uncertain volatility model," Applied Mathematical Finance, Taylor & Francis Journals, vol. 3(1), pages 21-52.
    2. 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.
    3. Umberto Cherubini, 1997. "Fuzzy measures and asset prices: accounting for information ambiguity," Applied Mathematical Finance, Taylor & Francis Journals, vol. 4(3), pages 135-149.
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    Citations

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    Cited by:

    1. Silvia Muzzioli & Luca Gambarelli & Bernard De Baets, 2018. "Indices for Financial Market Volatility Obtained Through Fuzzy Regression," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 17(06), pages 1659-1691, November.
    2. 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.
    3. Satrajit Mandal & Sujoy Bhattacharya, 2025. "A Fuzzy Jump-Diffusion Option Pricing Model Based on the Merton Formula," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 32(2), pages 357-380, June.
    4. 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.
    5. Tarik Driouchi & Lenos Trigeorgis & Raymond H. Y. So, 2018. "Option implied ambiguity and its information content: Evidence from the subprime crisis," Annals of Operations Research, Springer, vol. 262(2), pages 463-491, March.
    6. 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.
    7. Muzzioli, Silvia & Reynaerts, Huguette, 2007. "The solution of fuzzy linear systems by non-linear programming: a financial application," European Journal of Operational Research, Elsevier, vol. 177(2), pages 1218-1231, March.
    8. Marc Sanchez-Roger & María Dolores Oliver-Alfonso & Carlos Sanchís-Pedregosa, 2019. "Fuzzy Logic and Its Uses in Finance: A Systematic Review Exploring Its Potential to Deal with Banking Crises," Mathematics, MDPI, vol. 7(11), pages 1-22, November.
    9. Fernando Cruz Aranda & Antonia Terán Bustamante, 2019. "Valuation of an investment project in research and development in the pharmaceutical industry," Contaduría y Administración, Accounting and Management, vol. 64(1), pages 43-44, Enero-Mar.
    10. 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).
    11. S. Muzzioli & H. Reynaerts, 2007. "Solving parametric fuzzy systems of linear equations by a nonlinear programming method," Computational Economics, Springer;Society for Computational Economics, vol. 29(2), pages 107-117, March.
    12. Smimou, K. & Bector, C.R. & Jacoby, G., 2007. "A subjective assessment of approximate probabilities with a portfolio application," Research in International Business and Finance, Elsevier, vol. 21(2), pages 134-160, June.

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