Approximation of the Snell envelope and american options prices in dimension one
ESAIM: Probability and Statistics, Tome 6 (2002), pp. 1-19.

We establish some error estimates for the approximation of an optimal stopping problem along the paths of the Black-Scholes model. This approximation is based on a tree method. Moreover, we give a global approximation result for the related obstacle problem.

DOI : 10.1051/ps:2002001
Classification : 49L20, 60G40, 65M15, 91B28
Mots-clés : dynamic programming, snell envelope, optimal stopping 
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Bally, Vlad; Saussereau, Bruno. Approximation of the Snell envelope and american options prices in dimension one. ESAIM: Probability and Statistics, Tome 6 (2002), pp. 1-19. doi : 10.1051/ps:2002001. http://www.numdam.org/articles/10.1051/ps:2002001/

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