Binomial Option Valuation Model With Adaptive Swing Factor

This paper presents a new Binomial option valuation model which is with an adaptive swing factor. The existing versions of the Binomial model are developed based on fixed swing factor and results from fixed swing factor models are commonly associated with Snon-linear error propagations which translates to non-monotonic convergence and reduced accuracy in application to option pricing. In order to overcome this challenge, we adopt swing factors which are functions of the step number(n). The accuracy, convergence and stability behavior of the Binomial option pricing model with adaptive swing factor (up and down move size) are all investigated. The Adaptive Factor Model when compared with two popular versions of the traditional Binomial models - the Cox, Ross and Rubinstein (CRR) model [3], the Jarrow and Rudd (JR) model [5], a more recent Leisen and Reimer (LR) [3] model registered more accurate performances, especially with respect to option pricing.

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Publication Details

Journal
Afrischolar Discovery
Published
2025-02-28
DOI
https://doi.org/10.60787/jnamp.vol69no1.464
Primary Topic
Stochastic processes and financial applications
Type
article
Field-Weighted Citation Impact
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article

Binomial Option Valuation Model With Adaptive Swing Factor

Afrischolar Discovery
Stochastic processes and financial applications
article

Binomial Option Valuation Model With Adaptive Swing Factor

article en

Abstract

This paper presents a new Binomial option valuation model which is with an adaptive swing factor. The existing versions of the Binomial model are developed based on fixed swing factor and results from fixed swing factor models are commonly associated with Snon-linear error propagations which translates to non-monotonic convergence and reduced accuracy in application to option pricing. In order to overcome this challenge, we adopt swing factors which are functions of the step number(n). The accuracy, convergence and stability behavior of the Binomial option pricing model with adaptive swing factor (up and down move size) are all investigated. The Adaptive Factor Model when compared with two popular versions of the traditional Binomial models - the Cox, Ross and Rubinstein (CRR) model [3], the Jarrow and Rudd (JR) model [5], a more recent Leisen and Reimer (LR) [3] model registered more accurate performances, especially with respect to option pricing.

Afrischolar Discovery
University of Abuja (NG)
Openalex Percentile: Top 47%
Stochastic processes and financial applications
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