Abstarct: In this thesis, the European option pricing model and its application are reviewed. It is assumed that the European option pricing model under consideration; It is a vasicheck model that describes interest rate changes with respect to a type of market risk. Using European option pricing with the Martingale method, the European interest rate random interest rate model is studied. Precise government pricing centers for the Black-Scholes multidimensional market are built at the Vasichek random interest rate, which is used to obtain the extensions of the Margrave and Black-Scholes option pricing formula. These formulas, which are validated in a multiple risk economy at random interest rates, remain stable under changing market prices of at-risk markets. Finally, the difference between the standard European option pricing formula and the European option pricing formula of the Vasichek model is compared to the random interest rate.