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题名

OPTIMAL INVESTMENT PROBLEM WITH DELAY UNDER PARTIAL INFORMATION

作者
通讯作者Zhang, Shuaiqi
发表日期
2020-06
DOI
发表期刊
ISSN
2156-8472
EISSN
2156-8499
卷号10期号:2页码:365-378
摘要
In this paper, we investigate the optimal investment problem in the presence of delay under partial information. We assume that the financial market consists of one risk free asset (bond) and one risky asset (stock) and only the price of the risky asset can be observed from the financial market. The objective of the investor is to maximize the expected utility of the terminal wealth and average of the path segment. By using the filtering theory, we establish the separation principle and reduce the problem to the complete information case. Explicit expressions for the value function and the corresponding optimal strategy are obtained by solving the corresponding Hamilton-Jacobi-Bellman equation. Furthermore, we study the sensitivity of the optimal investment strategy on the model parameters in a numerical section and both of the full and partial information schemes are simulated and compared.
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语种
英语
学校署名
其他
资助项目
National Natural Science Foundation of China[11771079]
WOS研究方向
Mathematics
WOS类目
Mathematics, Applied ; Mathematics
WOS记录号
WOS:000528259400006
出版者
来源库
Web of Science
引用统计
被引频次[WOS]:8
成果类型期刊论文
条目标识符http://sustech.caswiz.com/handle/2SGJ60CL/127219
专题理学院_数学系
工学院_材料科学与工程系
作者单位
1.China Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R China
2.Southern Univ Sci & Technol, Dept Math, Shenzhen, Peoples R China
3.Southeast Univ, Sch Math, Nanjing, Peoples R China
推荐引用方式
GB/T 7714
Zhang, Shuaiqi,Xiong, Jie,Zhang, Xin. OPTIMAL INVESTMENT PROBLEM WITH DELAY UNDER PARTIAL INFORMATION[J]. Mathematical Control and Related Fields,2020,10(2):365-378.
APA
Zhang, Shuaiqi,Xiong, Jie,&Zhang, Xin.(2020).OPTIMAL INVESTMENT PROBLEM WITH DELAY UNDER PARTIAL INFORMATION.Mathematical Control and Related Fields,10(2),365-378.
MLA
Zhang, Shuaiqi,et al."OPTIMAL INVESTMENT PROBLEM WITH DELAY UNDER PARTIAL INFORMATION".Mathematical Control and Related Fields 10.2(2020):365-378.
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