 A Review of the Binomial and Trinomial Models for Option Pricing and their Convergence to the Black-Scholes Model Determined Option PricesDushko Josheski () and Mico Apostolov Econometrics. Advances in Applied Data Analysis, 2020, vol. 24, issue 2, 53-85 Abstract: This paper reviews the binomial and trinomial option pricing models and their convergence to the Black-Scholes model result. These models are generalized for the European and American options. The trinomial models are said to be more accurate than the binomial when fewer steps are modelled. These models are widely used for the usual vanilla option types, European or American options, that respectively can be exercised only at the expiration date and at any time before the expiration date. The results are supportive of the conventional wisdom that trinomial option pricing models such as the Kamrad-Ritchken model and the Boyle model are converging faster than the binomial models. When binomial models are compared in terms of convergence, the most efficient model is the Jarrow-Rudd model. This paper concludes that improved binomial models such as the Haahtela model are converging faster to the BS model result. After some trials, binomial distribution follows log-normal distribution assumed by the Black-Scholes model. Keywords: Black-Scholes-Merton; Leisen-Reimer; Cox-Ross-Rubinstein; Tian; Trigeorgis (models) (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:vrs:eaiada:v:24:y:2020:i:2:p:53-85:n:5 Access Statistics for this article Econometrics. Advances in Applied Data Analysis is currently edited by Józef Dziechciarz More articles in Econometrics. Advances in Applied Data Analysis from Sciendo |
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