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22 September, 07:00

Mary's 25th birthday is today, and she hopes to retire on her 65th birthday. She has determined that she will need to have $3,000,000 in her retirement savings account in order to live comfortably. Mary currently has no retirement savings, and her investments will earn 4% annually.

a. How much must she deposit into her account at the end of each of the next 40 years to meet her retirement savings goal?

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  1. 22 September, 09:38
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    Annual deposit = $31,570.47

    Explanation:

    Giving the following information:

    She has determined that she will need to have $3,000,000 in her retirement savings account.

    Her investments will earn 4% annually.

    To calculate the annual deposit we need to use the following formula:

    FV = {A*[ (1+i) ^n-1]}/i

    A = annual deposit

    Isolating A:

    A = (FV*i) / {[ (1+i) ^n]-1}

    A = (3,000,000*0.04) / [ (1.04^40) - 1] = $31,570.47
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