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Springer Proceedings in Mathematics 12 (2012) 215-255
Monte-Carlo valorisation of American options: facts and new algorithms to improve existing methods
Bruno Bouchard 1, 2, Xavier Warin 3
(2012-05-02)

The aim of this paper is to discuss efficient algorithms for the pricing of American options by two recently proposed Monte-Carlo type methods, namely the Malliavian calculus and the regression based approaches. We explain how both technics can be exploded with improved complexity and efficiency. We also discuss several technics for the estimation of the corresponding hedging strategies. Numerical tests and comparisons, including the quantization approach, are performed.
1:  CEntre de REcherches en MAthématiques de la DEcision (CEREMADE)
CNRS : UMR7534 – Université Paris IX - Paris Dauphine
2:  Centre de Recherche en Économie et Statistique (CREST)
INSEE – École Nationale de la Statistique et de l'Administration Économique
3:  EDF R&D
EDF
Mathematics/Probability
American options – Monte-carlo methods
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