中文版 | English
Title

Optimal Pairs Trading Strategies: A Stochastic Mean–Variance Approach

Author
Corresponding AuthorWu,Chufang
Publication Years
2022
DOI
Source Title
ISSN
0022-3239
EISSN
1573-2878
Abstract
In this paper, we consider optimal pairs trading strategies in terms of static optimality and dynamic optimality under mean–variance criterion. The spread of the entity pairs is assumed to be mean-reverting and follows an Ornstein–Uhlenbeck process. A constrained optimal control problem is considered, and the Lagrange multiplier technique is adopted to transform the primal problem into a family of linear-quadratic optimal control problems that can be solved by the classical dynamic programming principle. Both solutions for static and dynamic optimal pairs trading problems are derived and discussed. We show that the “static and dynamic optimality” is a viable approach to the time-inconsistent control problem. Furthermore, numerical experiments are presented to demonstrate the performance of the optimal pairs trading strategies.
Keywords
URL[Source Record]
Indexed By
Language
English
SUSTech Authorship
Corresponding
Funding Project
National Natural Science Foundation of China["11671158","11801262"] ; Research Grants Council of Hong Kong[17301522] ; Gruangdong Basic and Applied Basic Research Foundation 2021A[1515010031]
WOS Research Area
Operations Research & Management Science ; Mathematics
WOS Subject
Operations Research & Management Science ; Mathematics, Applied
WOS Accession No
WOS:000886333800001
Publisher
ESI Research Field
ENGINEERING
Scopus EID
2-s2.0-85142238878
Data Source
Scopus
Citation statistics
Cited Times [WOS]:0
Document TypeJournal Article
Identifierhttp://kc.sustech.edu.cn/handle/2SGJ60CL/412585
DepartmentDepartment of Mathematics
Affiliation
1.Delft Institute of Applied Mathematics,TU Delft,Delft,2628 CD,Netherlands
2.Advanced Modeling and Applied Computing Laboratory,Department of Mathematics,The University of Hong Kong,Pokfulam Road, Pokfulam,Hong Kong
3.Hughes Hall,Cambridge,Wollaston Road,United Kingdom
4.Department of Mathematics,Southern University of Science and Technology,Shenzhen,China
Corresponding Author AffilicationDepartment of Mathematics
Recommended Citation
GB/T 7714
Yu,Fenghui,Ching,Wai Ki,Wu,Chufang,等. Optimal Pairs Trading Strategies: A Stochastic Mean–Variance Approach[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,2022.
APA
Yu,Fenghui,Ching,Wai Ki,Wu,Chufang,&Gu,Jia Wen.(2022).Optimal Pairs Trading Strategies: A Stochastic Mean–Variance Approach.JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS.
MLA
Yu,Fenghui,et al."Optimal Pairs Trading Strategies: A Stochastic Mean–Variance Approach".JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS (2022).
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