This thesis seeks to studying two different methods of option pricing - one introduced in Carr and Madan (1999), and the other one in F.Fang and Oosterlee (2008

This volume offers the reader practical methods to compute the option prices in the incomplete asset markets. The [GLP \& MEMM] pricing models are clearly intro

Since around the turn of the millennium there has been a general acceptance that one of the more practical improvements one may make in the light of the shortfa

We analyze the specifications of option pricing models based on time-changed Levy processes. We classify option pricing models based on the structure of the jum

We apply stochastic time change to Levy processes to generate a wide variety of tractable option pricing models. In particular, we prove a fundamental theorem t