Optimal investment of DC pension plan under short-selling constraints and portfolio insurance
File(s)ime- revision -12-17 R2.pdf (339.75 KB)
Accepted version
Author(s)
Dong, Yinghui
Zheng, Harry
Type
Journal Article
Abstract
In this paper we investigate an optimal investment problem under short-selling and portfolio insurance constraints faced by a defined contribution pension fund manager who is loss averse. The financial market consists of a cash bond, an indexed bond and a stock. The manager aims to maximize the expected S-shaped utility of the terminal wealth exceeding a minimum guarantee. We apply the dual control method to solve the problem and derive the representations of the optimal wealth process and trading strategies in terms of the dual controlled process and the dual value function. We also perform some numerical tests and show how the S-shaped utility, the short-selling constraints and the portfolio insurance impact the optimal terminal wealth.
Date Issued
2019-03-01
Date Acceptance
2018-12-19
Citation
Insurance: Mathematics and Economics, 2019, 85, pp.47-59
ISSN
0167-6687
Publisher
Elsevier
Start Page
47
End Page
59
Journal / Book Title
Insurance: Mathematics and Economics
Volume
85
Copyright Statement
© 2018 Elsevier B.V. All rights reserved. This manuscript is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International Licence http://creativecommons.org/licenses/by-nc-nd/4.0/
Subjects
01 Mathematical Sciences
14 Economics
15 Commerce, Management, Tourism And Services
Statistics & Probability
Publication Status
Published
Date Publish Online
2019-01-04