| Under the hypothesis of stock price submitting to exponential Ornstein-Uhlenbeck process ,we solve the formula of pricing of stock and analyse the kind of the option formula, and then aiming at the blemish to suppose to interest rate before and considering the relation of the fluctuation of interest rate and the fluctuation of stock price , we bring up the model of the market interest rate and focus on analyzing the effect of the fluctuation of market interest rate on the option price based on the model. Finally, we solve the formula of option pricing suitable for the situation that option's validity period is longer and compare it with Black-Scholes option pricing formula . |
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