We consider the problem faced by an investor who must liquidate a given basket of assets over a finite time horizon. The investor's goal is to maximize the expected utility of the sales revenues over a class of adaptive strategies. We assume that the investor's utility has constant absolute risk...

Ambiguity, also called Knightian or model uncertainty, is a key feature in financial modeling. A recent paper by Maccheroni et al. (2004) characterizes investor preferences under aversion against both risk and ambiguity. Their result shows that these preferences can be numerically represented in...

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

We study issues of robustness in the context of Quantitative Risk Management and Optimization. We develop a general methodology for determining whether a given risk measurement related optimization problem is robust, which we call "robustness against optimization". The new notion is studied for...