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The Black-Scholes model (B-S model) is a common used option pricing model, which assumes that the volatility and the interest rate are constants. However, the empirical analysis shows that the option prices obtained from the B-S model are quite different from the market prices. The traditional improve-ment to the B-S model is to replace the volatility constants or interest rate constants with variables. This paper proposes the concept of modification term of Black-Scholes model, which is different from the traditional methods. The errors of the B-S model may be calculated through the market data, and is fitted as a function of a functional implied volatility and the option gamma. The fitted function can be considered as the modification term of the Black-Scholes model. The functional implied volatility can be constructed by using the Gaussian semi-parametric implied volatility model proposed by Ref. [4]. Experimental results show that the modified model has a better predictive effect on option pricing. © 2021 IEEE.
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Year: 2021
Page: 1-4
Language: English
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ESI Highly Cited Papers on the List: 0 Unfold All
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30 Days PV: 4
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