Resource title

Robust utility maximization in a stochastic factor model

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Resource description

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.

Resource author

Daniel Hernández-Hernández, Alexander Schied

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Resource language

eng

Resource content type

text/html

Resource resource URL

http://hdl.handle.net/10419/25090

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Adapt according to the presented license agreement and reference the original author.