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A Model For Pricing An Option With A Fuzzy Payoff


  • Muzzioli, Silvia

    (University of Modena and Reggio Emilia)

  • Torricelli, Costanza

    (University of Modena)


This paper sets up a one period model for pricing an option with a fuzzy payoff. The option is written on an underlying asset that has a fuzzy price at the end of the period, modelled by means of triangular fuzzy numbers. The pricing methodology used is the standard one for pricing derivatives, i.e. the so called risk neutral valuation. Combining the standard Binomial Option Pricing Model with a fuzzy representation of the option payoff offers some advantages. First it provides an intuitive way of looking at the future price of an asset. Second it includes the results of the Standard Binomial Model, allowing the market to have different levels of information.

Suggested Citation

  • Muzzioli, Silvia & Torricelli, Costanza, 2001. "A Model For Pricing An Option With A Fuzzy Payoff," Fuzzy Economic Review, International Association for Fuzzy-set Management and Economy (SIGEF), vol. 0(1), pages 49-87, May.
  • Handle: RePEc:fzy:fuzeco:v:vi:y:2001:i:1:p:49-87

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    References listed on IDEAS

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    Cited by:

    1. 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.
    2. Collan, Mikael, 2008. "New Method for Real Option Valuation Using Fuzzy Numbers," Working Papers 466, IAMSR, Åbo Akademi.
    3. Collan, Mikael & Fullér, Robert & József, Mezei, 2008. "A Fuzzy Pay-off Method for Real Option Valuation," MPRA Paper 13601, University Library of Munich, Germany.
    4. Collan, Mikael, 2004. "Giga-Investments: Modelling the Valuation of Very Large Industrial Real Investments," MPRA Paper 4328, University Library of Munich, Germany.

    More about this item


    Pricing; Options; Fuzzy Sets;

    JEL classification:

    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing


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