This paper compared the market prices and the theoretical prices (BSOPM) of two Nigerian Stock Market Indices namely CocaCola company Plc and Dangote Cement listed in the Nigerian Stock Exchange. The data for this study were obtained from https://ng.www.investing.com/equities/coca cola-bottle-historical-data,and https://ng.www.investing.com/equities/dang cem-historical-data. T-Test for paired sample was used as a method of analysis to find whether there is any significant difference between the Market Price and the theoretical (BSP) price and the result revealed that there is a significant difference since the null hypothesis was rejected (P-value <0.05) and there is also a correlation between the Market Price and the Black-Scholes price. The study further revealed that prices of the two companies were moving up and down leaving the investors with either options of continuity or to stop investing with the two companies