Resource title

Robust optimal control for a consumption-investment problem

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Resource description

We give an explicit PDE characterization for the solution of the problem of 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 stochastic factor process. The robust utility functional is defined in terms of a HARA utility function with risk aversion parameter 0 < ⍶ < 1 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 recent results by Wittm¨uss (2007) on the duality theory of robust optimization of consumption with a stochastic control approach to the dual problem of determining a ‘worst-case martingale measure’.

Resource author

Alexander Schied

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Resource publish date

Resource language

eng

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text/html

Resource resource URL

http://hdl.handle.net/10419/25198

Resource license

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