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Research Article | Open Access

Research on the wealth management fees of defined contribution pensions during the pre-retirement stage

Zongqi Sun1( )Peng Yang2Ying Wang1Jing Lu1
School of Computer Science, Xijing University, Xi'an, Shaanxi 710123, China
School of Mathematics, Xi'an University of Finance and Economics, Xi'an, Shaanxi 710048, China
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Abstract

In this paper, by enhancing the penalty coefficient, the general square loss criterion was modified into a novel criterion to more precisely identify risks and returns. Then, under this criterion, the ideal asset allocation for pension fund participants was investigated considering wealth management fees before retirement. Then, the Hamilton-Jacobi-Bellman (HJB) equation was formulated through the dynamic programming approach, and both the optimal investment strategy and minimum loss function were determined using calculus methods. Finally, how important parameters affect the initial optimal investment strategy and minimum loss function was analyzed, their economic implications were explained, the rationality of the model was validated, and several recommendations for management were provided.

CLC number: 91B05, 91G05

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AIMS Mathematics
Pages 36102-36115

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Cite this article:
Sun Z, Yang P, Wang Y, et al. Research on the wealth management fees of defined contribution pensions during the pre-retirement stage. AIMS Mathematics, 2024, 9(12): 36102-36115. https://doi.org/10.3934/math.20241713

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Received: 23 October 2024
Revised: 02 December 2024
Accepted: 11 December 2024
Published: 15 December 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)