Monte-Carlo valorisation of American options: facts and new algorithms to improve existing methods - Archive ouverte HAL
Article Dans Une Revue Proceedings in Mathematics Année : 2012

Monte-Carlo valorisation of American options: facts and new algorithms to improve existing methods

Résumé

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.
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Dates et versions

hal-00486825 , version 1 (31-05-2010)

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Bruno Bouchard, Xavier Warin. Monte-Carlo valorisation of American options: facts and new algorithms to improve existing methods. Proceedings in Mathematics, 2012, 12, pp.215-255. ⟨10.1007/978-3-642-25746-9⟩. ⟨hal-00486825⟩
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