In this paper we will check the homogeneity/heterogeneity of Levy processes using some non-parametric homogeneity tests. First we create two samples from two Levy processes starting from the definition of the Levy process, and next we test if the two samples have the same distribution. Using the...

This paper presents hedging strategies for European and exotic options in a Levy market. By applying Taylor's Theorem, dynamic hedging portfolios are con- structed under different market assumptions, such as the existence of power jump assets or moment swaps. In the case of European options or...

We give short proofs of general theorems about optimal entry and exit problems in Levy models, when payoff streams may have discontinuities and be non-monotone. As applications, we consider exit and entry problems in the theory of real options, and an entry problem with an embedded option to exit.