
A Hyper-Erlang Jump-Diffusion Process and Applications in Finance
DONG Yinghui,HAN Min
系统科学与复杂性(英文) ›› 2016, Vol. 29 ›› Issue (2) : 557-572.
A Hyper-Erlang Jump-Diffusion Process and Applications in Finance
A Hyper-Erlang Jump-Diffusion Process and Applications in Finance
This paper studies the first passage time problem for a reflected two-sided jump-diffusion risk model with the jumps having a hyper-Erlang distribution. The authors give the explicit closed-form expression for the joint Laplace transform of the first passage time and the overshoot for the reflected process. Finally, the formula is applied to the ruin problem under the barrier dividend strategy and the pricing of the Russian option.
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