The Optimal Strategy to Research Pension Funds in China Based on the Loss Function

Based on the theory of actuarial present value, a pension fund investment goal can be formulated as an objective function. The mean-variance model is extended by defining the objective loss function. Furthermore, using the theory of stochastic optimal control, an optimal investment model is establis...

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Main Authors: Jian-wei Gao, Hong-zhen Guo, Yan-cheng Ye
Format: Article
Language:English
Published: Ubiquity Press 2007-10-01
Series:Data Science Journal
Subjects:
Online Access:http://datascience.codata.org/articles/473
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author Jian-wei Gao
Hong-zhen Guo
Yan-cheng Ye
author_facet Jian-wei Gao
Hong-zhen Guo
Yan-cheng Ye
author_sort Jian-wei Gao
collection DOAJ
description Based on the theory of actuarial present value, a pension fund investment goal can be formulated as an objective function. The mean-variance model is extended by defining the objective loss function. Furthermore, using the theory of stochastic optimal control, an optimal investment model is established under the minimum expectation of loss function. In the light of the Hamilton-Jacobi-Bellman (HJB) equation, the analytic solution of the optimal investment strategy problem is derived.
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spelling doaj.art-80297dfe35cb459baaa1818032ddde762022-12-22T01:33:12ZengUbiquity PressData Science Journal1683-14702007-10-01610.2481/dsj.6.S603476The Optimal Strategy to Research Pension Funds in China Based on the Loss FunctionJian-wei Gao0Hong-zhen Guo1Yan-cheng Ye2School of Business Administration, North China Electric Power University, Beijing, 102206, ChinaSchool of Business Administration, North China Electric Power University, Beijing, 102206, ChinaCollege of Mathematical Sciences, Graduate School of the Chinese Academy of Sciences, Beijing, 100049, ChinaBased on the theory of actuarial present value, a pension fund investment goal can be formulated as an objective function. The mean-variance model is extended by defining the objective loss function. Furthermore, using the theory of stochastic optimal control, an optimal investment model is established under the minimum expectation of loss function. In the light of the Hamilton-Jacobi-Bellman (HJB) equation, the analytic solution of the optimal investment strategy problem is derived.http://datascience.codata.org/articles/473Actuarial present valuePension fundsFund growth strategyInvestment strategyStochastic optimal controlLoss functionHamilton-Jacobi-Bellman equation
spellingShingle Jian-wei Gao
Hong-zhen Guo
Yan-cheng Ye
The Optimal Strategy to Research Pension Funds in China Based on the Loss Function
Data Science Journal
Actuarial present value
Pension funds
Fund growth strategy
Investment strategy
Stochastic optimal control
Loss function
Hamilton-Jacobi-Bellman equation
title The Optimal Strategy to Research Pension Funds in China Based on the Loss Function
title_full The Optimal Strategy to Research Pension Funds in China Based on the Loss Function
title_fullStr The Optimal Strategy to Research Pension Funds in China Based on the Loss Function
title_full_unstemmed The Optimal Strategy to Research Pension Funds in China Based on the Loss Function
title_short The Optimal Strategy to Research Pension Funds in China Based on the Loss Function
title_sort optimal strategy to research pension funds in china based on the loss function
topic Actuarial present value
Pension funds
Fund growth strategy
Investment strategy
Stochastic optimal control
Loss function
Hamilton-Jacobi-Bellman equation
url http://datascience.codata.org/articles/473
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