Please use this identifier to cite or link to this item: http://hdl.handle.net/10419/25090
Authors: 
Hernández-Hernández, Daniel
Schied, Alexander
Year of Publication: 
2005
Series/Report no.: 
SFB 649 discussion paper 2006,007
Abstract: 
We give an explicit PDE characterization for the solution of a robust utility maximization problem in an incomplete market model, whose volatility, interest rate process, and long-term trend are driven by an external stochastic factor process. The robust utility functional is defined in terms of a HARA utility function with negative risk aversion and a dynamically consistent coherent risk measure, which allows for model uncertainty in the distributions of both the asset price dynamics and the factor process. Our method combines two recent advances in the theory of optimal investments: the general duality theory for robust utility maximization and the stochastic control approach to the dual problem of determining optimal martingale measures.
Document Type: 
Working Paper

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