Author(s)

Henrietta Ify Ojarikre^*, Ideh Rapheal, Ebimene James Mamadu

Department of Mathematics, Delta State University, Abraka, Nigeria.

Black-Scholes Model (B-SM) simulates the dynamics of financial market and contains instruments such as options and puts which are major indices requiring solution. B-SM is known to estimate the correct prices of European Stock options and establish the theoretical foundation for Option pricing. Therefore, this paper evaluates the Black-Schole model in simulating the European call in a cash flow in the dependent drift and focuses on obtaining analytic and then approximate solution for the model. The work also examines Fokker Planck Equation (FPE) and extracts the link between FPE and B-SM for non equilibrium systems. The B-SM is then solved via the Elzaki transform method (ETM). The computational procedures were obtained using MAPLE 18 with the solution provided in the form of convergent series.

Elzaki Transform Method, European Call, Black-Scholes Model, Fokker-Planck Equation, Market Volatility

Ojarikre, H. , Rapheal, I. and Mamadu, E. (2024) Application of Elzaki Transform Method to Market Volatility Using the Black-Scholes Model. Journal of Applied Mathematics and Physics, 12, 819-828. doi: 10.4236/jamp.2024.123050.