含税Omega风险模型
Omega risk model with tax
摘要:
本文研究了时齐扩散环境下税收依赖于盈余的Omega风险模型。新模型结合了Omega风险模型(Albrecher and Gerber and Shiu(2011))和含税风险模型(Albrecher and Hipp(2007))的实用特征。我们明确描述了一个Azema-Yor过程(例如,由其运行最大值的泛函折射的过程)的占用时间的拉普拉斯变换低于一个恒定的水平,直到另一个Azema-Yor过程的第一次命中时间或直到一个独立的指数时间。这一结果统一和扩展了最近的文献(Li和Zhou(2013)和Zhang(2014)),并将他们的一些结果作为特例。我们明确地刻画了税收Omega风险模型中破产时间的Laplace变换,并讨论了积分泛函的扩展。最后,我们提出的例子,使用布朗运动漂移。
英文摘要:
In this paper we study the Omega risk model with surplus-dependent tax payments in a time-homogeneous diffusion setting. The new model incorporates practical features from both the Omega risk model(Albrecher and Gerber and Shiu (2011)) and the risk model with tax(Albrecher and Hipp (2007)). We explicitly characterize the Laplace transform of the occupation time of an Azema-Yor process(e.g. a process refracted by functionals of its running maximum) below a constant level until the first hitting time of another Azema-Yor process or until an independent exponential time. This result unifies and extends recent literature(Li and Zhou (2013) and Zhang (2014)) incorporating some of their results as special cases. We explicitly characterize the Laplace transform of the time of bankruptcy in the Omega risk model with tax and discuss an extension to integral functionals. Finally we present examples using a Brownian motion with drift.
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