The Adjoint Method for the Inverse Problem of Option Pricing
Joint Authors
Zeng, Yu-Hua
Wang, Shou-Lei
Yang, Yu-fei
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-26
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
The estimation of implied volatility is a typical PDE inverse problem.
In this paper, we propose the TV-L1 model for identifying the implied volatility.
The optimal volatility function is found by minimizing the cost functional measuring the discrepancy.
The gradient is computed via the adjoint method which provides us with an exact value of the gradient needed for the minimization procedure.
We use the limited memory quasi-Newton algorithm (L-BFGS) to find the optimal and numerical examples shows the effectiveness of the presented method.
American Psychological Association (APA)
Wang, Shou-Lei& Yang, Yu-fei& Zeng, Yu-Hua. 2014. The Adjoint Method for the Inverse Problem of Option Pricing. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-462696
Modern Language Association (MLA)
Wang, Shou-Lei…[et al.]. The Adjoint Method for the Inverse Problem of Option Pricing. Mathematical Problems in Engineering No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-462696
American Medical Association (AMA)
Wang, Shou-Lei& Yang, Yu-fei& Zeng, Yu-Hua. The Adjoint Method for the Inverse Problem of Option Pricing. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-462696
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-462696