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arxiv: 1504.06146 · v2 · pith:CECL7AKFnew · submitted 2015-04-23 · 🧮 math.PR

A dual algorithm for stochastic control problems: Applications to Uncertain Volatility Models and CVA

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keywords algorithmboundscontrolestimatesproblemsstochasticapplicationsbiased
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We derive an algorithm in the spirit of Rogers and Davis & Burstein that leads to upper bounds for stochastic control problems. Our bounds complement lower biased estimates recently obtained in the work of Guyon & Henry-Labord\`ere. We evaluate our estimates in numerical examples motivated from mathematical finance.

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