Wang, Ning2025-05-302025-05-301059-0560WOS:001303114500001ORCID:/0000-0002-7667-2423/work/170763669http://www.scopus.com/inward/record.url?scp=85202009651&partnerID=8YFLogxKhttps://hdl.handle.net/1885/733754519In this paper, we investigate an optimization problem for a wage earner seeking to maximize expected utilities until retirement by choosing optimal consumption, investment, and life insurance purchase strategies. The constant elasticity of variance (CEV) model is adopted describe the price process of the risky asset. Additionally, we assume that the wage earner has time-inconsistent preferences. This makes the wage earner discount her payoff by a non-constant discount rate. Applying the dynamic programming principle, we have derived the HamiltonJacobi-Bellman (HJB) equation corresponding to the optimization problem. Furthermore, we present semi-analytical expressions for optimal strategies and value functions in three cases: the benchmark model with time-consistent preferences, the naive and sophisticated wage earners with time-inconsistent preferences. Finally, illustrations of the optimal solutions and some economic insights are provided in the numerical examples.This work was supported by the 111 Project (B14019), the Natural Science Research Project of Higher Education in Anhui Province (KJ2021A0104), the Anhui Provincial Philosophy and Social Sciences Planning Project (AHSKY2023D079) and the National Natural Science Foundation of China (12301597, 12071147, 11971034) .21enPublisher Copyright: © 2024 The Author(s)CEV modelConsumptionInvestmentLife-insuranceTime-inconsistent202410.1016/j.iref.2024.10351710.1016/j.iref.2024.10351785202009651