Electronic Journal of Probability

Representation of continuous linear forms on the set of ladlag processes and the hedging of American claims under proportional costs

Jean-Francois Chassagneux and Bruno Bouchard

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We discuss a d-dimensional version (for làdlàg optional processes) of a duality result by Meyer (1976) between {bounded} càdlàg adapted processes and random measures. We show that it allows to establish, in a very natural way, a dual representation for the set of initial endowments which allow to super-hedge a given American claim in a continuous time model with proportional transaction costs. It generalizes a previous result of Bouchard and Temam (2005) who considered a discrete time setting. It also completes the very recent work of Denis, De Vallière and Kabanov (2008) who studied càdlàg American claims and used a completely different approach.

Article information

Electron. J. Probab., Volume 14 (2009), paper no. 24, 612-632.

Accepted: 27 February 2009
First available in Project Euclid: 1 June 2016

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 91B28
Secondary: 60G42: Martingales with discrete parameter

Randomized stopping times American options transaction costs

This work is licensed under aCreative Commons Attribution 3.0 License.


Chassagneux, Jean-Francois; Bouchard, Bruno. Representation of continuous linear forms on the set of ladlag processes and the hedging of American claims under proportional costs. Electron. J. Probab. 14 (2009), paper no. 24, 612--632. doi:10.1214/EJP.v14-625. https://projecteuclid.org/euclid.ejp/1464819485

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