Unconditional Positive Stable Numerical Solution of Partial Integrodifferential Option Pricing Problems
Joint Authors
Company, R.
Jódar, Lucas
Fakharany, M.
Source
Journal of Applied Mathematics
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-02-04
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
This paper is concerned with the numerical solution of partial integrodifferential equation for option pricing models under a tempered stableprocess known as CGMY model.
A doublediscretization finite difference scheme is used for the treatmentof the unbounded nonlocal integral term.
We also introduce in thescheme the Patankar-trick to guarantee unconditional nonnegativenumerical solutions.
Integration formula of open type is used inorder to improve the accuracy of the approximation of the integralpart.
Stability and consistency are also studied.
Illustrative examples are included.
American Psychological Association (APA)
Fakharany, M.& Company, R.& Jódar, Lucas. 2015. Unconditional Positive Stable Numerical Solution of Partial Integrodifferential Option Pricing Problems. Journal of Applied Mathematics،Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1067160
Modern Language Association (MLA)
Fakharany, M.…[et al.]. Unconditional Positive Stable Numerical Solution of Partial Integrodifferential Option Pricing Problems. Journal of Applied Mathematics No. 2015 (2015), pp.1-10.
https://search.emarefa.net/detail/BIM-1067160
American Medical Association (AMA)
Fakharany, M.& Company, R.& Jódar, Lucas. Unconditional Positive Stable Numerical Solution of Partial Integrodifferential Option Pricing Problems. Journal of Applied Mathematics. 2015. Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1067160
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1067160