Pricing Stock Loans with the CGMY Model
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
2019-12-27
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
The empirical research shows that the log-return of stock price in finance market rejects the normal distribution and admits a subclass of the asymmetric distribution.
Hence, the pricing problem of stock loan is investigated under the assumption that the log-return of stock price follows the CGMY process in this work.
Under this framework, the pricing model of stock loan can be described by a free boundary condition problem of space-fractional partial differential equation (FPDE).
First of all, in order to change the original model defined in a fixed domain, a penalty term is introduced, and then a first order fully implicit difference schemes is developed.
Secondly, based on the numerical scheme, we prove the stock loan value generated by our method does not fall below the value obtained when the contract of stock loan is exercised early.
Finally, the numerical experiments are implemented and the impacts of key parameters in the CGMY model on the value and optimal redemption price of stock loan are analyzed, and some reasonable explanation should be given.
American Psychological Association (APA)
Fan, Congyin& Zhou, Chunhao. 2019. Pricing Stock Loans with the CGMY Model. Discrete Dynamics in Nature and Society،Vol. 2019, no. 2019, pp.1-11.
https://search.emarefa.net/detail/BIM-1146502
Modern Language Association (MLA)
Fan, Congyin& Zhou, Chunhao. Pricing Stock Loans with the CGMY Model. Discrete Dynamics in Nature and Society No. 2019 (2019), pp.1-11.
https://search.emarefa.net/detail/BIM-1146502
American Medical Association (AMA)
Fan, Congyin& Zhou, Chunhao. Pricing Stock Loans with the CGMY Model. Discrete Dynamics in Nature and Society. 2019. Vol. 2019, no. 2019, pp.1-11.
https://search.emarefa.net/detail/BIM-1146502
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1146502