![](/images/graphics-bg.png)
Option Pricing under the Jump Diffusion and Multifactor Stochastic Processes
Joint Authors
Liu, Shican
Wu, Yong Hong
Zhou, Yanli
Ge, Xiangyu
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-02-03
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
In financial markets, there exists long-observed feature of the implied volatility surface such as volatility smile and skew.
Stochastic volatility models are commonly used to model this financial phenomenon more accurately compared with the conventional Black-Scholes pricing models.
However, one factor stochastic volatility model is not good enough to capture the term structure phenomenon of volatility smirk.
In our paper, we extend the Heston model to be a hybrid option pricing model driven by multiscale stochastic volatility and jump diffusion process.
In our model the correlation effects have been taken into consideration.
For the reason that the combination of multiscale volatility processes and jump diffusion process results in a high dimensional differential equation (PIDE), an efficient finite element method is proposed and the integral term arising from the jump term is absorbed to simplify the problem.
The numerical results show an efficient explanation for volatility smirks when we incorporate jumps into both the stock process and the volatility process.
American Psychological Association (APA)
Liu, Shican& Zhou, Yanli& Wu, Yong Hong& Ge, Xiangyu. 2019. Option Pricing under the Jump Diffusion and Multifactor Stochastic Processes. Journal of Function Spaces،Vol. 2019, no. 2019, pp.1-12.
https://search.emarefa.net/detail/BIM-1174983
Modern Language Association (MLA)
Liu, Shican…[et al.]. Option Pricing under the Jump Diffusion and Multifactor Stochastic Processes. Journal of Function Spaces No. 2019 (2019), pp.1-12.
https://search.emarefa.net/detail/BIM-1174983
American Medical Association (AMA)
Liu, Shican& Zhou, Yanli& Wu, Yong Hong& Ge, Xiangyu. Option Pricing under the Jump Diffusion and Multifactor Stochastic Processes. Journal of Function Spaces. 2019. Vol. 2019, no. 2019, pp.1-12.
https://search.emarefa.net/detail/BIM-1174983
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1174983