Optimal retirement age,leisure and consumption

In this paper, we study the determination of optimal retirement age, optimal leisure time, and optimal consumption, and we also analyze their relationships using an optimal control theory. We establish a life cycle model and analyze the factors of consumption, leisure, saving, mortality and retirement behaviors simultaneously with an orthogonal-array experimental design. Our results show that the initial salary level and the growth rate of salary are the most important determining factors of the optimal retirement age. The initial consumption level and the interest rate are also important factors affecting optimal retirement age. The mortality improvement has a minor effect on the optimal retirement age. The effects of the Social Security on the optimal retirement age depend on the Social Security tax and the level of Social Security benefit.