The preservation and appreciation of pension fund is the core of the whole pension system. As the cash for daily life of the retiree, the investment rate of return of pension fund has to be higher than Consumer Price Index (CPI) in order to maintain the purchase power of pension and play a security role. On the basis of Markowitz theory, the constraint of CPI was added in this paper. The weight of all assets in optimum portfolio and the minimum variance of the portfolio under current financial market were calculated by Matlab software in China. Finally, suggestions on reforming investment policies of pension fund in China were given.
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