A note on first passage functionals for hyper-exponential jump-diffusion processes

Abstract

This investigation concerns the hyper-exponential jump-diffusion processes. Following the exposition of the two-sided exit problem by Kyprianou [10] and Asmussen and Albrecher [1], this study investigates first passage functionals for these processes. The corresponding boundary value problems are solved to obtain an explicit formula for the first passage functionals.