Transition Pension Insurance Model Number

Since we took the method of family planning in 1979, the first singletons have grown up in our country. The family model of "four-two- one" is a mainstream. Such has challenged the traditional social pension insurance (the family that have two or more children is a mainstream in traditional society, but now the family that have one child is a mainstream);such as in mathematics, every problem has essential difference from "one" to "two", but it has only quantity difference, not essential difference, from "two" to "three". More-over, our system of social pension insurance is in transition. All these make the problem of how to provide the aged important. We have studied the model from macro angle, but it isn't fit for the transition.On the basis of foreign social pension insurance, I study the problem of social pension insurance in shanghai city with the model of lifecycle, overlapping generations model, and the Ramsey Model, and achieve something in theory and demonstration. Through the introduction of our social pension insurance's development and the analysis of its characteristics, the paper makes the factors which affects our social pension insurance clear and makes the overlapping generation's model perfect in transition in order to solve our social pension insurance in transition. In the model, the paper adds expected salary, expected life-span, unexpected death and the bequest, etc. the paper gains the optimized rate of saving in a fixed age of retire, death and expected salary.Whereas the characters of shanghai city, the development of economy, the research significances of the first singleton's social pension insurance in shanghai city and the reality significances of solving our social pension insurance's debts, the paper collects relevant data about twenty years and analyzes the first singleton in shanghai city with the revised model. In the end, the paper demonstrates the model with the data of shanghai city, and the outcome is satisfying.