We study the optimal stopping problem for dynamic risk measures represented by Backward Stochastic Differential Equations (BSDEs) with jumps and its relation with reflected BSDEs (RBSDEs). The financial position is given by an RCLL adapted process. We first state some properties of RBSDEs with...

The purpose of this paper is to propose a new class of jump diffusions which feature both stochastic volatility and random intensity jumps. Previous studies have focussed primarily on pure jump processes with constant intensity and log-normal jumps or constant jump intensity combined with a one...

The aim of this thesis is to thoroughly study structural default models based on jump-diffusion processes. Jump-diffusion models were first proposed by Zhou (2001), who also showed that these models have several desirable properties, most important, positive short-term spreads. On the other...

The main aim of this thesis is the development of locally risk-minimizing hedging strategies for unit-linked life insurance contracts whose unit is modeled in a general Lévy-process financial market. It therefore merges the quite advanced and in recent years developed theory of...

This paper studies a two-person trading game in continuous time that generalizes Garivaltis (2018) to allow for stock prices that both jump and diffuse. Analogous to Bell and Cover (1988) in discrete time, the players start by choosing fair randomizations of the initial dollar, by exchanging it...