This paper is devoted to the derivation of some regularity properties of pricing functions for American options and to the discussion of numerical methods, based on the Bensoussan-Lions methods of variational inequalities. In particular, we provide a complete justification of the so-called BrennanSchwartz algorithm for the valuation of American put options.
@article{hal-01667008,
author = {Jaillet, Patrick and Lamberton, Damien and Lapeyre, Bernard},
title = {Variational inequalities and the pricing of American options},
journal = {HAL},
volume = {1990},
number = {0},
year = {1990},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-01667008}
}
Jaillet, Patrick; Lamberton, Damien; Lapeyre, Bernard. Variational inequalities and the pricing of American options. HAL, Tome 1990 (1990) no. 0, . http://gdmltest.u-ga.fr/item/hal-01667008/