Problems arising in Finance have become a significant source of new developments in Stochastic Analysis. We discuss some recent case studies, in particular some decomposition and representation theorems which are motivated by problems of hedging derivatives and of intertemporal consumption choice.

SFB 649 Discussion Paper 2005-051 Optimal Investments for Risk- and Ambiguity- Averse Preferences: A Duality Approach Alexander Schied* * Technische Universität Berlin, Germany This research was supported by the Deutsche Forschungsgemeinschaft through the...

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...