The Pricing of Asian Options in Uncertain Volatility Model
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-16
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
This paper studies the pricing of Asian options when the volatility of the underlying asset is uncertain.
We use the nonlinear Feynman-Kac formula in the G-expectation theory to get the two-dimensional nonlinear PDEs.
For the arithmetic average fixed strike Asian options, the nonlinear PDEs can be transferred to linear PDEs.
For the arithmetic average floating strike Asian options, we use a dimension reduction technique to transfer the two-dimensional nonlinear PDEs to one-dimensional nonlinear PDEs.
Then we introduce the applicable numerical computation methods for these two classes of PDEs and analyze the performance of the numerical algorithms.
American Psychological Association (APA)
Fan, Yulian& Zhang, Huadong. 2014. The Pricing of Asian Options in Uncertain Volatility Model. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-16.
https://search.emarefa.net/detail/BIM-498003
Modern Language Association (MLA)
Fan, Yulian& Zhang, Huadong. The Pricing of Asian Options in Uncertain Volatility Model. Mathematical Problems in Engineering No. 2014 (2014), pp.1-16.
https://search.emarefa.net/detail/BIM-498003
American Medical Association (AMA)
Fan, Yulian& Zhang, Huadong. The Pricing of Asian Options in Uncertain Volatility Model. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-16.
https://search.emarefa.net/detail/BIM-498003
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-498003