An Alternating-Direction Implicit Difference Scheme for Pricing Asian Options
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-18
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We propose a fast and stable numerical method to evaluate two-dimensional partial differential equation (PDE) for pricing arithmetic average Asian options.
The numerical method is deduced by combining an alternating-direction technique and the central difference scheme on a piecewise uniform mesh.
The numerical scheme is stable in the maximum norm, which is true for arbitrary volatility and arbitrary interest rate.
It is proved that the scheme is second-order convergent with respect to the asset price.
Numerical results support the theoretical results.
American Psychological Association (APA)
Cen, Zhongdi& Le, Anbo& Xu, Aimin. 2013. An Alternating-Direction Implicit Difference Scheme for Pricing Asian Options. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-484531
Modern Language Association (MLA)
Cen, Zhongdi…[et al.]. An Alternating-Direction Implicit Difference Scheme for Pricing Asian Options. Journal of Applied Mathematics No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-484531
American Medical Association (AMA)
Cen, Zhongdi& Le, Anbo& Xu, Aimin. An Alternating-Direction Implicit Difference Scheme for Pricing Asian Options. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-484531
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-484531