In this paper we deal with a utility maximization problem at finite horizon on a continuous-time market with conical (and time varying) constraints (particularly suited to model a currency market with proportional transaction costs). In particular, we extend the results in Campi and Owen (2011)...

We use several measures to compare the performance of a large set of Dow Jones Islamic indexes to selected benchmarks. We test the performance over the whole period and then focus on extreme events. We identify extreme events as the 100 lowest and the 100 highest conventional World Indexes daily...

In this thesis we deal with different topics in financial mathematics, that are all related to market imperfections and to the fundamental technique of utility maximization. The work consists of three parts. In the first one, which is based on two papers, we consider the problem of optimal...