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Continuity of Utility Maximization under Weak Convergence. (arXiv:1811.01420v1 [q-fin.MF])

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In this paper we find sufficient conditions for the continuity of the utility maximization problem from terminal wealth under convergence in distribution of the underlying processes. We provide several examples which illustrate that without these conditions, we cannot generally expect continuity to hold. Finally, we apply our continuity results to numerical computations of the shortfall risk in the Heston model.


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