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arxiv: 1201.3289 · v1 · pith:HGVEVF64new · submitted 2012-01-16 · 🧮 math.OC

A Reduced Basis Method for the Simulation of American Options

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keywords reducedamericanbasismethodsimulationangle-greedyapproachapproximation
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We present a reduced basis method for the simulation of American option pricing. To tackle this model numerically, we formulate the problem in terms of a time dependent variational inequality. Characteristic ingredients are a POD-greedy and an angle-greedy procedure for the construction of the primal and dual reduced spaces. Numerical examples are provided, illustrating the approximation quality and convergence of our approach.

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