Numerical Contour Integral Methods for Free-Boundary Partial Differential Equations Arising in American Volatility Options Pricing
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-11-04
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
The aim of this paper is to study the numerical contour integral methods (NCIMs) for solving free-boundary partial differential equations (PDEs) from American volatility options pricing.
Firstly, the governing free-boundary PDEs are modified as a unified form of PDEs on the fixed space region; then performing Laplace-Carson transform (LCT) leads to ordinary differential equations (ODEs) which involve the unknown inverse functions of free boundaries.
Secondly, the inverse free-boundary functions are approximated and optimized by solving of the free-boundary values of the perpetual American volatility options.
Finally, the ODEs are solved by the finite difference methods (FDMs), and the results are restored via the numerical Laplace inversion.
Numerical results confirm that the NCIMs outperform the FDMs for solving free-boundary PDEs in regard to the accuracy and computational time.
American Psychological Association (APA)
Chen, Yong& Ma, Jianjun. 2018. Numerical Contour Integral Methods for Free-Boundary Partial Differential Equations Arising in American Volatility Options Pricing. Discrete Dynamics in Nature and Society،Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1152305
Modern Language Association (MLA)
Chen, Yong& Ma, Jianjun. Numerical Contour Integral Methods for Free-Boundary Partial Differential Equations Arising in American Volatility Options Pricing. Discrete Dynamics in Nature and Society No. 2018 (2018), pp.1-12.
https://search.emarefa.net/detail/BIM-1152305
American Medical Association (AMA)
Chen, Yong& Ma, Jianjun. Numerical Contour Integral Methods for Free-Boundary Partial Differential Equations Arising in American Volatility Options Pricing. Discrete Dynamics in Nature and Society. 2018. Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1152305
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1152305