Authors
Min Dai, Yue Kuen Kwok, Lixin Wu
Publication date
2004/7/1
Journal
Mathematical Finance
Volume
14
Issue
3
Pages
383-401
Publisher
Blackwell Publishers, Inc.
Description
The reset right embedded in an option contract is the privilege given to the option holder to reset certain terms in the contract according to specified rules at the moment of shouting, where the time to shout is chosen optimally by the holder. For example, a shout option with strike reset right entitles its holder to choose the time to take ownership of an at‐the‐money option. This paper develops the theoretical framework of analyzing the optimal shouting policies to be adopted by the holder of an option with reset right on the strike price. It is observed that the optimal shouting policy depends on the time dependent behaviors of the expected discounted value of the at‐the‐money option received upon shouting. During the time period when the theta of the expected discounted value of the new option received is positive, it is never optimal for the holder to shout at any level of asset value. At those times when the theta is …
Total citations
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Scholar articles
M Dai, YK Kwok, L Wu - Mathematical Finance: An International Journal of …, 2004