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Your friend is celebrating her 23rd birthday today and wants to start saving for her anticipated retirement at age 63. She estimates that the annual

Your friend is celebrating her 23rd birthday today and wants to start saving for her anticipated retirement at age 63. She estimates that the annual spending needs would be $300,000 based on the current price level, and inflation rate is expected to be 5% per year. She wants to be able to make withdrawal for spending needs on each year for 22 years following her retirement; the first withdrawal will be on her 64th birthday. In the year that she make her last withdrawal, she also want to be able to withdraw $5,000,000 as an inheritance for her children. Your friend intends to invest her money in a conservative fund, which offers 6 percent interest per year after retirement. Before retirement, your friend invests in stock funds, which offers 9% interest per year. Your friends employer will contribute an amount, equal to 8% of her salary, to a pension fund, which generate 5% annual return. Your friend can get back all money in the pension fund in her 63rd birthday. In addition, your friend expects to spend $600,000 for down payment of her apartment on her 30th birthday. She will get $240,000 + $ 55000 annual salary in 24th birthday, and the salary is expected to be increase at 4%. The last salary will be paid on her 63rd birthday.

If she starts making these deposits on her 24th birthday. What proportion of salary should her save each year?

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