| Issue |
ESAIM: M2AN
Volume 40, Number 2, March-April 2006
|
|
|---|---|---|
| Page(s) | 311 - 330 | |
| DOI | https://doi.org/10.1051/m2an:2006011 | |
| Published online | 21 June 2006 | |
Finite volume methods for the valuation of American options
Université de Marne-la-Vallée, Champs-sur-Marne, 77454
Marne-la-Vallée, France. eymard@math.univ-mlv.fr
Received:
8
December
2004
Revised:
5
October
2005
We consider the use of finite volume methods for the approximation of a parabolic variational inequality arising in financial mathematics. We show, under some regularity conditions, the convergence of the upwind implicit finite volume scheme to a weak solution of the variational inequality in a bounded domain. Some results, obtained in comparison with other methods on two dimensional cases, show that finite volume schemes can be accurate and efficient.
Mathematics Subject Classification: 65M12
Key words: American option / variational inequality / finite volume method / convergence of numerical scheme.
© EDP Sciences, SMAI, 2006
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