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arXiv · 1905.02650

A class of recursive optimal stopping problems with applications to stock trading

Katia Colaneri·Tiziano De Angelis
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Abstract

In this paper we introduce and solve a class of optimal stopping problems of recursive type. In particular, the stopping payoff depends directly on the value function of the problem itself. In a multi-dimensional Markovian setting we show that the problem is well posed, in the sense that the value is indeed the unique solution to a fixed point problem in a suitable space of continuous functions, and an optimal stopping time exists. We then apply our class of problems to a model for stock trading in two different market venues and we determine the optimal stopping rule in that case.

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Katia Colaneri, Tiziano De Angelis. 2019-05-07. A class of recursive optimal stopping problems with applications to stock trading. https://arxiv.org/abs/1905.02650

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