The PDEs and Numerical Scheme for Derivatives under Uncertainty Volatility
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-05-29
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We use the stochastic differential equations (SDE) driven by G-Brownian motion to describe the basic assets (such as stocks) price processes with volatility uncertainty.
We give the estimation method of the SDE’s parameters.
Then, by the nonlinear Feynman-Kac formula, we get the partial differential equations satisfied by the derivatives.
At last, we give a numerical scheme to solve the nonlinear partial differential equations.
American Psychological Association (APA)
Fan, Yulian. 2019. The PDEs and Numerical Scheme for Derivatives under Uncertainty Volatility. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-7.
https://search.emarefa.net/detail/BIM-1194274
Modern Language Association (MLA)
Fan, Yulian. The PDEs and Numerical Scheme for Derivatives under Uncertainty Volatility. Mathematical Problems in Engineering No. 2019 (2019), pp.1-7.
https://search.emarefa.net/detail/BIM-1194274
American Medical Association (AMA)
Fan, Yulian. The PDEs and Numerical Scheme for Derivatives under Uncertainty Volatility. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-7.
https://search.emarefa.net/detail/BIM-1194274
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1194274