离散时间不完全金融市场中未定权益的定价

The Pricing of Contingent Claims in Discrete Time Incomplete Financial Markets

  • 摘要: 对一类连续时间不完全市场(其中的股票价格由Brown运动驱动),El Karoui and Quenez1讨论了一般的不可达未定权益的定价问题。本文利用Föllmer and Kabanov2建立的分解定理,证明1中关于买方与卖方价格过程的结果与方法适用于一般的离散时间不完全金融市场(定理1)。特别,关于买方与卖方价格我们给出另一种合理的解释(定理3)。

     

    Abstract: For a class of continuous time incomplete financial markets (in which the price processes of securities are driven by Brownian motions) E1 Karoui and Quenez 1 developed the theory of pricing contingent claims. Making use the decomposition theorem established by Follmer and abanov 2, we indicate in this note that the basic results and methods in 1 about selling and purchase price processes are also suitable for general finite discrete time financial markets. Inparticular, we give another reasonable interpretation for selling and purchase price.

     

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