Recently, old-age pension has been becoming a hot social issue in this country. In order to contribute some opinions to this issue, I tried to discuss basic financial theories and some economic impacts of public old-age pension insurance (POAPI) through economic models. This paper includes five paragraphs. The first paragraph introduces financial methods and payment level of POAPI. The second paragraph illustrates premium calculation methods of pay-as-you-go system and reserved funding system. The third paragraph compares premium burden and social utility of pay-as-you-go system and reserved funding system. The fourth paragraph analysis some economic impacts of POAPI including personal saving, social saving, investment behavior as well as labor supply. The final paragraph concludes that POPAI will have positive impacts to national economy and suggests that the government has better to adopt reserved funding system as the financial method of National Pension Insurance System.