Optimal Stopping of Stochastic Differential Equations with Delay Driven by Lévy Noise

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We study an optimal stopping problem for a stochastic differential equation with delay driven by a Lévy noise. Approaching the problem by its infinite-dimensional representation, we derive conditions yielding an explicit solution to the problem. Applications to the American put option problem are shown. © 2010 Springer Science+Business Media B.V.

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