2018Quantitative Finance and EconomicsOpen access

Comparison: Binomial model and Black Scholes model

Amir Ahmad Dar, N. Anuradha

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Abstract

The Binomial Model and the Black Scholes Model are the popular methods that are used to solve the option pricing problems. Binomial Model is a simple statistical method and Black Scholes model requires a solution of a stochastic differential equation. Pricing of European call and a put option is a very difficult method used by actuaries. The main goal of this study is to differentiate the Binominal model and the Black Scholes model by using two statistical model -t-test and Tukey model at one period. Finally, the result showed that there is no significant difference between the means of the European options by using the above two models.

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What this paper is about

The Binomial Model and the Black Scholes Model are the popular methods that are used to solve the option pricing problems. Binomial Model is a simple statistical method and Black Scholes model requires a solution of a stochastic differential equation. Pricing of European call and a put option is a very difficult method used by actuaries. The main goal of this study is to differentiate the Binominal model and the Black Scholes model by using two statistical model -t-test and Tukey model at one period. Finally, the result showed that there is no significant difference between the means of the European options by using the above two models.

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Available abstract

The Binomial Model and the Black Scholes Model are the popular methods that are used to solve the option pricing problems. Binomial Model is a simple statistical method and Black Scholes model requires a solution of a stochastic differential equation. Pricing of European call and a put option is a very difficult method used by actuaries. The main goal of this study is to differentiate the Binominal model and the Black Scholes model by using two statistical model -t-test and Tukey model at one period. Finally, the result showed that there is no significant difference between the means of the European options by using the above two models.

Key concepts: Black–Scholes model, Binomial options pricing model, Mathematics, Binomial distribution, Econometrics, Valuation of options, Binomial (polynomial), Stochastic differential equation

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