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


 
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1. Title Title of document On the Hedging of American Options in Discrete Time with Proportional Transaction Costs
 
2. Creator Author's name, affiliation, country Bruno Bouchard; Université Paris 6 and CREST, France
 
2. Creator Author's name, affiliation, country Emmanuel Teman; Université Paris 6, France
 
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4. Description 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.
 
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7. Date (YYYY-MM-DD) 2005-07-14
 
8. Type Status & genre Peer-reviewed Article
 
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9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ejp.ejpecp.org/article/view/266
 
10. Identifier Digital Object Identifier 10.1214/EJP.v10-266
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 10
 
12. Language English=en
 
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