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Hull-White利率模型下基于均值-方差准则的DC型养老金最优投资

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在现实生活中,考虑到随机利率和随机工资,假设利率结构满足Hull-White利率模型,且养老金可以投资于一种无风险资产.为了完成计划持有人预期的目标,把均值-方差作为目标研究DC型养老金的最优投资问题,采用随机动态规划原理建立相应的HJB方程,根据拉格朗日变换和对偶理论,得出了有效投资策略和有效边界的显式解.最后通过对结果进行数值分析,并给出相应的经济学解释,这对养老金投资策略具有一定指导价值.
Mean-variance model for DC pension plan under stochastic environment
In real life,considering stochastic interest rates and stochastic salary,consider it under the Hull-White interest rate model,and the pension can be invested in a risk-free asset and a risky as-set.In order to achieve the expected goals of plan holders,research the optimal investment problem of DC pensions with the mean-variance as the goal.Using the principle of stochastic dynamic program-ming,the HJB equation of the optimal investment is established.Through Legengre transform and duali-ty theory,the explicit solution of the efficient strategy and frontier is obtained.Finally,through the nu-merical analysis of the obtained results,the corresponding Economics explained.

DC pensionstochastic intereststochastic salarymean-variance model

明健、邵艳宇、夏登峰

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安徽工程大学 数理与金融学院,安徽 芜湖 241000

DC型养老金 随机利率 随机工资 均值-方差模型

2024

黄山学院学报
黄山学院

黄山学院学报

CHSSCD
影响因子:0.249
ISSN:1672-447X
年,卷(期):2024.26(5)