An Improved Poisson Distribution and Its Application in Option Pricing
[1]
Samson Ogu-Egege, Research Fellow in the Department of Mathematics, Abia State University, Uturu, Nigeria.
[2]
Bright Okore Osu, Department of Mathematics, Michael Okpara University of Agriculture, Umudike, Nigeria.
[3]
Chigozie Chibuisi, Department of Insurance, University of Jos, Jos, Nigeria.
This work, introduces an improve Poisson distribution function. This improved Poisson is equipped with some financial terms, which generate a model for determining the prices of a European call and put option for two period models. Some of its important statistical properties like the mean, variance are given. It was found that the problem of option for non-dividend paying stock can be approached using an improved Poisson distribution function equipped with some financial terms. In comparison it gives exactly the numerical results with the CRR binomial model using the numerical data. An empirical example is given in a concrete setting.
Improved Poisson, Generalized Binomial Distribution, Option Pricing
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