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21 December, 13:19

A 20-year-old student wants to save $3 a day for her retirement. Every day she places $3 in a drawer. At the end of each year, she invests the accumulated savings ($1,095) in a brokerage account with an expected annual return of 12%. How much money will she have when she is 65 years old? (We did this part in class)

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  1. 21 December, 17:12
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    The money she will be having when she is 65 years old is $1487261.89.

    Explanation:

    Annual savings = $3*365

    = $1,095

    Savings at the end of 65 years = $1,095*[ (1 + 12%) ^ (65-20) - 1] / 12%

    = $1487261.89

    Therefore, the money she will be having when she is 65 years old is $1487261.89.
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