Title
|
|
|
|
ADI FD schemes for the numerical solution of the three-dimensional Heston-Cox-Ingersoll-Ross PDE
|
|
Author
|
|
|
|
|
|
Abstract
|
|
|
|
This paper deals with the numerical solution of the time-dependent, three-dimensional Heston-Cox-Ingersoll-Ross PDE, with all correlations nonzero, for the fair pricing of European call options. We apply a finite difference discretization on non-uniform spatial grids and then numerically solve the semi-discrete system in time by using an Alternating Direction Implicit scheme. We show that this leads to a highly efficient and stable numerical solution method. |
|
|
Language
|
|
|
|
English
|
|
Source (journal)
|
|
|
|
AIP conference proceedings / American Institute of Physics. - New York
|
|
Source (book)
|
|
|
|
International Conference of Numerical Analysis and Applied Mathematics, (ICNAAM), SEP 19-25, 2012, Kos, GREECE
|
|
Publication
|
|
|
|
New York
:
2012
|
|
ISBN
|
|
|
|
978-0-7354-1091-6
|
|
DOI
|
|
|
|
10.1063/1.4756628
|
|
Volume/pages
|
|
|
|
1479
(2012)
, p. 2195-2199
|
|
ISI
|
|
|
|
000310698100518
|
|
Full text (Publisher's DOI)
|
|
|
|
|
|
Full text (open access)
|
|
|
|
|
|