We consider a regime-switching HJB approach to evaluate risk measures for derivative securities when the price process of the underlying risky asset is governed by the exponential of a pure jump process with drift and a Markov switching compensator. The pure jump process is flexible enough to...

In this paper, a comprehensive review of the valuation of American options is presented. Various approaches to pricing American option contracts are discussed, with the pros and cons of each being briefly outlined. The paper aims to provide a literature review for those who are interested in...

The pricing of American options has been widely acknowledged as “a much more intriguing” problem in financial engineering. In this paper, a “convergency-proved” IFE (inverse finite element) approach is introduced to the field of financial engineering to price American options for the...