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...

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...

We give an explicit PDE characterization for the solution of the problemof maximizing the utility of both terminal wealth and intertemporal consumption under model uncertainty. The underlying market model consists of a risky asset, whose volatility and long-term trend are driven by an external...

We analyze the stochastic control approach to the dynamic maximization of the robust utility of consumption and investment. The robust utility functionals are defined in terms of logarithmic utility and a dynamically consistent convex riskmeasure. The underlying market is modeled by a diffusion...