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随机利率下混合养老金的最优投资策略

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本文在资产负债框架下研究了随机利率下混合养老金的最优投资策略.假设养老金资产可以投资于无风险资产、风险资产和零息债券,且利率过程和股票价格过程存在一般相关性,构建出任意时刻的使资产收益最大化的价值函数,在损失函数为二次函数的条件下,求解出最优投资策略,用随机最优控制HJB方法推导出最优资产配置、缴费及支付调整.使用蒙特卡洛模拟方法进行数值模拟,结果表明,可以通过调整资产投资比例和二次函数中的权重参数来调整混合养老金的最优投资策略.混合养老金计划模型能够让现在及未来的退休人员获得更稳定的福利收入,提供更平稳的缴款,为混合养老金计划的管理和风险控制提供重要参考.
Optimal Investment Strategy of Hybrid Pension Under Stochastic Interest Rate
This paper studies the optimal investment of hybrid pension plan with stochastic interest rate under the asset-liability framework.Assuming that pension assets can be invested in risk-free assets,risk assets and zero-coupon bonds,and that there is a general correlation between the interest rate process and the stock price process,this paper constructs a value function that maximizes the return of assets,under the assumption that the loss function is a quadratic function,the optimal investment strategy is obtained,and the optimal asset allocation and the optimal payment adjustment are derived by stochastic optimal control HJB method.The results show that the optimal investment of pension can be adjusted by changing the proportion of asset investment and the weight parameter of quadratic function.Hybrid pen-sion plan model can render present and future retirees more stable welfare income and provide more sta-ble contributions,which is conducive to the sustainable operation of pension plan.

hybrid pension planstochastic interest rateasset and liability managementthe HJB equation

汪梦琪、王传玉、沈贝贝

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安徽工程大学数理与金融学院,安徽芜湖 241000

混合养老金 随机利率 资产负债管理 HJB方程

2024

安徽工程大学学报
安徽工程大学

安徽工程大学学报

影响因子:0.289
ISSN:2095-0977
年,卷(期):2024.39(5)