Challenges in approximating the Black and Scholes call formula with hyperbolic tangents

Michele Mininni, Giuseppe Orlando and Giovanni Taglialatela

Papers from arXiv.org

Abstract: In this paper we introduce the concept of standardized call function and we obtain a new approximating formula for the Black and Scholes call function through the hyperbolic tangent. This formula is useful for pricing and risk management as well as for extracting the implied volatility from quoted options. The latter is of particular importance since it indicates the risk of the underlying and it is the main component of the option's price. Further we estimate numerically the approximating error of the suggested solution and, by comparing our results in computing the implied volatility with the most common methods available in literature we discuss the challenges of this approach.

Date: 2018-09
New Economics Papers: this item is included in nep-rmg
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Citations: View citations in EconPapers (1)

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Journal Article: Challenges in approximating the Black and Scholes call formula with hyperbolic tangents (2021)
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Persistent link: https://EconPapers.repec.org/RePEc:arx:papers:1810.04623

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