In this paper, we present a new approach with which American option price under a general regime-switching model with an arbitrary finite number of economic states can be efficiently computed without solving a system of $n$ differential equations simultaneously. Comparing with all the existing...

Simple analytical solutions for the prices of discretely monitored barrier options do not yet exist in the literature. This paper presents a semi-analytical and fully explicit solution for pricing discretely monitored barrier options when the underlying asset is driven by a general Lévy...