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Empirical testing of Black and Scholes fuzzy option pricing

What is it about?

Despite there is a great deal of literature on fuzzy option pricing, the existence of empirical studies about the application and performance of fuzzy option models with real data is not usual. So, we firstly propose a way to quantify fuzzy parameters from empirical data to implement FBS. Subsequently we evaluate the suitability of FBS to predict actual traded prices of options in Spanish financial market.

Why is it important?

We find that FBS fits quite well actual traded prices. However, generally most representative market prices (closing and medium) are not better fitted than those more extreme (minimum and maximum). We have also check that the goodness of the FBS predictions often depends on the moneyness grade and the expiration date of options.

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The following have contributed to this page:
Jorge de Andrés Sánchez
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