The use of saddlepoint approximations in statistics is a
well-established technique for computing the distribution of a random variable
whose moment generating function is known. In this paper, we apply the
methodology to computing the prices of various European-style options, whose
returns processes are not the Brownian motion with drift assumed in the
Black-Scholes paradigm. Through a number of examples, we show that the
methodology is generally accurate and fast.
@article{1029962752,
author = {Rogers, L. C. G. and Zane, O.},
title = {Saddlepoint approximations to option prices},
journal = {Ann. Appl. Probab.},
volume = {9},
number = {1},
year = {1999},
pages = { 493-503},
language = {en},
url = {http://dml.mathdoc.fr/item/1029962752}
}
Rogers, L. C. G.; Zane, O. Saddlepoint approximations to option prices. Ann. Appl. Probab., Tome 9 (1999) no. 1, pp. 493-503. http://gdmltest.u-ga.fr/item/1029962752/