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Statistics Help

**Question: **You plan to retire a millionaire on June 12, 2038. Today, June 12, 2014 you make the first of 25 annual deposits into your retirement account, the last deposit will be on June 12, 2038. You decide that you are willing to assume a bit of risk in the hope of receiving a higher return. Therefore, you place HALF of your annual deposit into a fixed interest rate fund, earning 4% annually, and HALF of your annual deposit into an equity (stock) fund. (This problem attempts to illustrate the saving pattern of a typical 401k, or similar retirement savings program, investor.)

a. (8 points) If the stock fund also returns 4% annually, how large will your deposits need to be?

b. (7 points) If the stock fund returns 8.5% annually, how large will your deposits need to be? (remember, you are placing the same amount into both the fixed interest fund and the equity fund, therefore the accounts will not have values of $500K each at the end in year 2035. Clearly, the stock fund will have a larger sum than the fixed interest fund.)

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