The following sections are included:IntroductionFinancial Market, Investment Portfolio and BenchmarkDynamic Programming and the Value FunctionExistence of a Classical (C1,2) Solution Under Affine Drift AssumptionsExistence of a Classical (C1,2) Solution Under Standard Control AssumptionsFund...

A new option pricing formula is presented that unifies several results of the existing literature on pricing exotic options under Lèvy processes. To demonstrate the flexibility of the formula a few examples are given which provide new valuation formulas within the Lévy framework

Purpose Recently, studied theoretical properties and parameter estimation of continuous time processes derived as solutions of a generalized Langevin equation (GLE). In this paper, the authors extend the model to a wider class of memory kernels and then propose a bond and bond option valuation...

The payoff of many credit derivatives depends on the level of credit spreads. In particular, the payoff of credit derivatives with a leverage component is sensitive to jumps in the underlying credit spreads. In the framework of first passage time models we extend the model introduced in...