An integral equation for American put options on assets with general dividend processes

Authors
Publication date 2011
Journal Stochastics: An International Journal of Probability and Stochastic Processes
Volume | Issue number 83 | 4-6
Pages (from-to) 555-567
Organisations
  • Faculty of Economics and Business (FEB) - Amsterdam School of Economics Research Institute (ASE-RI)
Abstract The difference between an American put option and its European counterpart has been characterized in terms of a simple integral expression which can be used to calculate the optimal exercise boundary in a recursive manner, if Black-Scholes dynamics are assumed for the underlying asset. In this paper, we extend this formula to the case where a more general stock and cumulative dividend process are included, and show how this changes the properties of the optimal exercise boundary.
Document type Article
Language English
Published at https://doi.org/10.1080/17442508.2010.533179
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