A Robust Spline Collocation Method for Pricing American Put Options
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-05-02
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
In this paper a robust numerical method is proposed for pricing American put options.
The Black-Scholes differential operator in the original form is discretized by using a quadratic spline collocation method on a piecewise uniform mesh for the spatial discretization and the implicit Euler scheme for the time discretization.
The position of collocation points is chosen so that the spline difference operator satisfies the discrete maximum principle, which guarantees that the scheme is maximum-norm stable.
The error estimation is derived by applying the maximum principle to the discrete linear complementarity problem in two mesh sets.
It is proved that the scheme is second-order convergent with respect to the spatial variable and first-order convergent with respect to the time variable.
Numerical results demonstrate that the scheme is stable and accurate.
American Psychological Association (APA)
Cen, Zhongdi& Le, Anbo& Xu, Aimin. 2019. A Robust Spline Collocation Method for Pricing American Put Options. Discrete Dynamics in Nature and Society،Vol. 2019, no. 2019, pp.1-11.
https://search.emarefa.net/detail/BIM-1146240
Modern Language Association (MLA)
Cen, Zhongdi…[et al.]. A Robust Spline Collocation Method for Pricing American Put Options. Discrete Dynamics in Nature and Society No. 2019 (2019), pp.1-11.
https://search.emarefa.net/detail/BIM-1146240
American Medical Association (AMA)
Cen, Zhongdi& Le, Anbo& Xu, Aimin. A Robust Spline Collocation Method for Pricing American Put Options. Discrete Dynamics in Nature and Society. 2019. Vol. 2019, no. 2019, pp.1-11.
https://search.emarefa.net/detail/BIM-1146240
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1146240