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Optimal Stopping Problem in a Model with Compensated Refusal of Reward
R. V. Ivanov Institute of Control Sciences, Russian Academy of Sciences
Abstract:
We consider the optimal stopping problem with a possible compensated refusal of reward. We discuss functionals of exponential Brownian motion. The optimal stopping time is defined on the set of all finite stopping times. The functionals under consideration correspond to payments for standard American options.
Keywords:
optimal stopping problem, stopping time, exponential Brownian motion, standard American option, reward function, Itô–Meyer formula, dominated convergence.
Received: 09.07.2008 Revised: 19.04.2010
Citation:
R. V. Ivanov, “Optimal Stopping Problem in a Model with Compensated Refusal of Reward”, Mat. Zametki, 89:2 (2011), 241–248; Math. Notes, 89:2 (2011), 238–244
Linking options:
https://www.mathnet.ru/eng/mzm5261https://doi.org/10.4213/mzm5261 https://www.mathnet.ru/eng/mzm/v89/i2/p241
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Abstract page: | 456 | Full-text PDF : | 190 | References: | 53 | First page: | 13 |
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