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American options with gradual exercise under proportional transaction costs

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JournalInternational Journal of Theoretical and Applied Finance
DateE-pub ahead of print - 26 Dec 2014
DatePublished (current) - Dec 2014
Issue number8
Volume17
Number of pages36
Early online date26/12/14
Original languageEnglish

Abstract

American options in a multi-asset market model with proportional transaction costs are studied in the case when the holder of an option is able to exercise it gradually at a so-called mixed (randomized) stopping time. The introduction of gradual exercise leads to tighter bounds on the option price when compared to the case studied in the existing literature, where the standard assumption is that the option can only be exercised instantly at an ordinary stopping time. Algorithmic constructions for the bid and ask prices and the associated superhedging strategies and optimal mixed stopping times for an American option with gradual exercise are developed and implemented, and dual representations are established.

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© World Scientific Publishing Co. This is an author produced version of a paper published in International Journal of Theoretical and Applied Finance. Uploaded in accordance with the publisher's self-archiving policy.

    Research areas

  • American options, transaction costs, mixed stopping times, superhedging, dual representation

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