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Pricing double-barrier options under a flexible jump diffusion model
Authors:Ning Cai  Xiangwei Wan
Affiliation:a Department of Industrial Engineering and Logistics Management, The Hong Kong University of Science and Technology, Hong Kong
b Department of System Engineering and Engineering Management, The Chinese University of Hong Kong, Hong Kong
Abstract:
In this paper we present a Laplace transform-based analytical solution for pricing double-barrier options under a flexible hyper-exponential jump diffusion model (HEM). The major theoretical contribution is that we prove non-singularity of a related high-dimensional matrix, which guarantees the existence and uniqueness of the solution.
Keywords:Double-barrier options   Jump diffusion   First passage times   Hyper-exponential distribution   Euler inversion algorithm
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