具有最优工作年限与闲暇的生命周期模型

The Life-Cycle Model with Optimal Years of Working and Leisure

针对给定生命年限与工资增长率下个人最优工作年限的选择问题,建立了一个具有消费与闲暇效用的生命周期模型.证明了在给定的条件下个人存在一个最优工作年限使得终身效用最大化,得出了个人的最优消费与资产路径.证明随着人的寿命延长或工资增长率上升,个人会延长工作年限.数值仿真结果表明,个人寿命的延长和工资增长率的上升对最优退休年龄有较大的影响.

In this paper,a life-cycle model with utility from both consumption and leisure which is obtained from retirement is setup to inquire how the individuals optimally chose the retiring age facing the given wage growth rate,longevity.It is proved that there exists optimal retiring age under given conditions and the individual＇s consumption and asset path are given.With individual＇s longevity prolonging or the rate of wage growth promoting,the individual chooses work longer.By numerical simulation,the optimal retirement is much affected by longevity and wage growth rate.