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Pricing and hedging American options by Monte Carlo methods using a Malliavin calculus approach

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HAL Id: inria-00071782

https://hal.inria.fr/inria-00071782

Submitted on 23 May 2006

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Pricing and hedging American options by Monte Carlo methods using a Malliavin calculus approach

Vlad Bally, Lucia Caramellino, Antonino Zanette

To cite this version:

Vlad Bally, Lucia Caramellino, Antonino Zanette. Pricing and hedging American options by Monte Carlo methods using a Malliavin calculus approach. [Research Report] RR-4804, INRIA. 2003. �inria- 00071782�

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ISRN INRIA/RR--4804--FR+ENG

a p p o r t

d e r e c h e r c h e

THÈME 4

INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE

Pricing and hedging American options by Monte Carlo methods using a Malliavin calculus approach

Vlad Bally — Lucia Caramellino — Antonino Zanette

N° 4804

April 2003

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¦¨am X §Ma/k:wxfqr_–sjqa}i_r z a‚ojq{gfhr_–Âkuwow|amŠt_‚ofl~a}t_‚xpv~a[wow¥ z ‚ofhµuar§g{:mx]_a Djlku~‹³´kur z dv~‹]pujha[w¹`&p z aj<¥¨f<ºasº*fqm w|psjqµsa[wmx]_a¹£¸psjqjhpn¡fhr_–/w…mopg~‹]Mkuw|mxfl~ z f/BXa‚oarImxflkyjVaWÃsiMknmxfhpurõ«¬w z aN±

dXt= (rη)Xtdt+σXtdWt

X0=x

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