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This paper investigates the effect of stochastic volatility process on the values of assets. A set of functions is constructed which transforms the problem to a one dimensional heat equation. By the use of the Fourier transformation, the analytical solution of this equation is obtained. Then existence of a unique solution is achieved which represents the behavior of the volatility of the system. Some numerical illustrations of the models are presented using the Maple software (based on the data collected from Nigeria Stock Exchange (NSE) and Nigeria-National Pension Fund Administration (NNPFA)). The results obtained are analogous to the behaviour of the system based on cubic B-spline found in literature.