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18 June, 16:08

You have just deposited $11,000 into an account that promises to pay you an annual interest rate of 6.5 percent each year for the next 6 years. You will leave the money invested in the account and 10 years from today, you need to have $26,300 in the account. What annual interest rate must you earn over the last 4 years to accomplish this goal?

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  1. 18 June, 16:22
    0
    13.14%

    Explanation:

    1. From now to end of year 6:

    n = 6 years

    i/r = 6.5% (annual interest)

    PV = $-11,000 (deposit at year 0)

    PMT = 0 (No annual deposit)

    FV = ? (We need to find the value of the account at the end of year 6)

    Using financial calculator, FV = $16,050.57

    2. From year 7 - year 10

    n = 4 years

    i/r = ? (We need to find the annual interest of the last 4 years)

    PV = $16,050.57 (This is the account value at the end of year 6)

    FV = $26,300 (The amount you need to have at end of year 10)

    PMT = 0 (No annual deposit)

    Using Financial calculator, i/r = 13.14%
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