Details of Research Outputs

Status已发表Published
TitleOption price with stochastic volatility for both fast and slow mean-reverting regimes
Creator
Date Issued2013
Source PublicationComptes Rendus Mathematique
ISSN1631-073X
Volume351Issue:9-10Pages:411-414
Abstract

The Heston model of stochastic volatility has been widely adopted in modern finance, especially in option pricing. Usually, the model can be classified as being in one of two different regimes: the fast mean-reverting regime and the slow mean-reverting regime. Different approximations are needed for each regime. We show a surprising result: the solution in both regimes can be approximated by an identical expression. The predictions of the approximation are in excellent agreement with the numerical solutions of the Heston model in both regimes. Le modèle de volatilité stochastique de Heston a été largement utilisé dans la théorie financière moderne, en particulier pour déterminer le prix des options. Habituellement, ce modèle peut prendre en compte deux régimes différents : le régime de retour rapide à la moyenne et celui de retour lent à la moyenne. Deux solutions différentes ont été données, selon le régime du modèle. Nous démontrons un résultat surprenant : les deux solutions peuvent être approchées par une formule identique. Dans chaque régime, les prédictions de l'approximation sont très proches des solutions numériques du modèle de Heston. © 2013 Académie des sciences.

DOI10.1016/j.crma.2013.05.008
URLView source
Indexed BySCIE
Language英语English
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000321995600017
Original Document TypeArticle
Citation statistics
Cited Times:2[WOS]   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
Identifierhttp://repository.uic.edu.cn/handle/39GCC9TT/2201
CollectionResearch outside affiliated institution
Corresponding AuthorZhang, Qiang
Affiliation
1.USTC-CityU Joint Advanced Research Center, Suzhou, China
2.Department of Statistics and Finance, University of Science and Technology of China, China
3.Department of Mathematics, City University of Hong Kong, Hong Kong
Recommended Citation
GB/T 7714
Zhang, Qiang,Han, Jiguang,Gao, Ming. Option price with stochastic volatility for both fast and slow mean-reverting regimes[J]. Comptes Rendus Mathematique, 2013, 351(9-10): 411-414.
APA Zhang, Qiang, Han, Jiguang, & Gao, Ming. (2013). Option price with stochastic volatility for both fast and slow mean-reverting regimes. Comptes Rendus Mathematique, 351(9-10), 411-414.
MLA Zhang, Qiang,et al."Option price with stochastic volatility for both fast and slow mean-reverting regimes". Comptes Rendus Mathematique 351.9-10(2013): 411-414.
Files in This Item:
There are no files associated with this item.
Related Services
Usage statistics
Google Scholar
Similar articles in Google Scholar
[Zhang, Qiang]'s Articles
[Han, Jiguang]'s Articles
[Gao, Ming]'s Articles
Baidu academic
Similar articles in Baidu academic
[Zhang, Qiang]'s Articles
[Han, Jiguang]'s Articles
[Gao, Ming]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Zhang, Qiang]'s Articles
[Han, Jiguang]'s Articles
[Gao, Ming]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.