In a complete financial market every contingent claim can be hedged perfectly. In an incomplete market it is possible to stay on the safe side by superhedging. But such strategies may require a large amount of initial capital. Here we study the question what an investor can do who is unwilling...

An investor faced with a contingent claim may eliminate risk by (super-)hedging in a financial market. As this is often quite expensive, we study partial hedges, which require less capital and reduce the risk. In a previous paper we determined quantile hedges which succeed with maximal...

Das Buch ist eine Einführung in die Finanzmathematik. Der erste Teil des Buchs untersucht ein einfaches einperiodiges Modell, das als Grundlage für spätere Entwicklungen dient. Im zweiten Teil wird die Idee des dynamischen Hedgings von Eventualforderungen in einem mehrperiodigen Rahmen entwickelt