中文摘要：

本文假设标的资产服从马氏骨架过程（简称MSP）．该过程能更好地反映金融市场的不稳定性．利用马氏骨架过程的性质，求出标的资产价格过程的特征函数，利用快速傅里叶变换（FFT）方法，给出了马氏骨架过程下几种金融衍生品的定价公式．文中的结果还可以应用于其它的金融衍生品定价中，丰富了金融衍生品的定价理论．

英文摘要：

In this paper, it is assumed that the underlying is a Markov skeleton process （abbreviated MSP）： this process can be better reflecting the instability of the financial market. Using the properties of Markov skeleton process, the characteristic function of the price process is given, combined with fast Fourier transform （FFT） method, the pricing formula of derivatives under the Markov skeleton process is given. The results of this paper can be applied to price other financial derivatives, and it enriching the pricing theory of financial derivatives.