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 dissertation considers the pricing and hedging of contingent claims in a generalsemimartingale market. Initially the focus is on a complete market, where it ispossible to price uniquely and hedge perfectly. In this context the two fundamentaltheorems of asset pricing are explored. The...

We develop a framework to study the effects of policies of uncertain duration onconsumption dynamics under both complete and incomplete markets. We focus on the dynamicimplications of market incompleteness, specifically on the lack of state-contingent bonds. Twopolicies are considered: pure...