Skew CIR process, conditional characteristic function, moments and bond pricing

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摘要

This paper is concerned with one general Feller’s Branching Diffusion, called skew CIR process. We derive the conditional characteristic function and moment of this general diffusion process first. Then with the same computing idea, we handle with its application in bond pricing. All the results we adopt are closed forms.

论文关键词:Feller branching process,Skew CIR process,Conditional characteristic function,Moment,Zero coupon bond pricing

论文评审过程:Received 21 November 2016, Revised 20 August 2017, Accepted 7 February 2018, Available online 28 February 2018, Version of Record 28 February 2018.

论文官网地址:https://doi.org/10.1016/j.amc.2018.02.013