Association Journal of CSIAM
Supervised by Ministry of Education of PRC
Sponsored by Xi'an Jiaotong University
ISSN 1005-3085  CN 61-1269/O1

Chinese Journal of Engineering Mathematics ›› 2025, Vol. 42 ›› Issue (3): 455-472.doi: 10.3969/j.issn.1005-3085.2025.03.005

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Optimal Control Strategy for TBP Pension with Premium Refund Clauses under Inflation Risk

CHEN Ya,   LIU Wei   

  1. School of Mathematics and System Sciences, Xinjiang University, Urumqi 830017
  • Received:2022-09-02 Accepted:2023-08-21 Online:2025-06-15 Published:2025-06-15
  • Contact: W. Liu. E-mail address: liuwei.math@xju.edu.cn
  • Supported by:
    The Natural Science Foundation of Xinjiang Uygur Autonomous Region (2024D01C39).

Abstract:

This paper explores optimal control strategies for target benefit pension plans in the presence of inflation risk. It proposes a premium refund clause to protect members who pass away during the accumulation phase. The pension fund can invest in a risk-free asset, an inflation-indexed bond, and a stock. By maximizing the expected utility of benefits and final wealth using the Cobb-Douglas utility function, the optimal investment and benefits strategies are determined through Hamilton-Jacobi-Bellman (HJB) equations. Numerical analyses examine the influence of important parameters on benefit payment and fund wealth.

Key words: target benefit pension plans, inflation risk, premium refund clause, Cobb-Douglas utility function

CLC Number: