| Our country is facing a serious problem of population aging, and the basic social pension insurance only provides the most basic social security, income replacement rate is low, is not enough to meet the needs of the residents living in retirement, so it is very important to explore and establish a new type of supplementary pension insurance. To solve the problem of "cash poor, housing rich man", the problem of housing mortgage endowment insurance as a new type of old-age insurance product has widened the financing channels of the pension funds, and has been successfully implemented in the UK, Singapore and other countries. In this paper, we will study the development of the housing mortgage market from the perspective of economics to improve the welfare of residents and the society.With the actual situation of population and economy in China, this paper establishes a mathematical model and examines the impact of the introduction of housing anti mortgage insurance on individual welfare and social welfare, and analyzes the influence of different conditions on individual welfare and social welfare.According to our country’s specific economic and social situation, the former research is based on the assumption that the parameters are based on the simplified model using Matlab numerical simulation, the results show that the housing mortgage insurance in the market continued to run healthy can improve the overall welfare of society. And in the bequest motive of the dweller weakened, myopic degree becomes higher, higher prices or housing reverse mortgage endowment insurance loans ratio is too low, residents can through smooth lifetime consumption to increase the welfare of the individual, and that higher bequest utility does not enable residents by participating housing anti mortgage insurance to improve individual utility. The implementation of housing reverse mortgage can improve the overall welfare level of the whole society in the "severe" aging society. |
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