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 Electronic Journal of Probability > Vol. 10 (2005) > Paper 22 open journal systems 


On the Hedging of American Options in Discrete Time with Proportional Transaction Costs

Bruno Bouchard, Université Paris 6 and CREST, France
Emmanuel Teman, Université Paris 6, France


Abstract
In this note, we consider a general discrete time financial market with proportional transaction costs as in Kabanov and Stricker (2001), Kabanov et al. (2002), Kabanov et al. (2003) and Schachermayer (2004). We provide a dual formulation for the set of initial endowments which allow to super-hedge some American claim. We show that this extends the result of Chalasani and Jha (2001) which was obtained in a model with constant transaction costs and risky assets which evolve on a finite dimensional tree. We also provide fairly general conditions under which the expected formulation in terms of stopping times does not work.


Full text: PDF

Pages: 746-760

Published on: July 14, 2005


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Electronic Journal of Probability. ISSN: 1083-6489