Question

for 13 years, kyle saved $450 at the beginning of every month in a fund that...

for 13 years, kyle saved $450 at the beginning of every month in a fund that earned 4.5% conpounded annually.

a. what was the balance in the fund at the end of the period? round to the nearest cent.

b. what was the amount of interest earned over the period? round to the nearest cent.
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Answer #1

Monthly Saving = $450

Time Period = 13 years

EAR = 4.5%

APR(monthly) = 12[(1.045)1/12 - 1] = 4.41%

a.

Calculating Future Value,

Using TVM Calculation,

FV = BEG[PV= 0, PMT = 450, N = 156, I = 0.0441/12]

FV = $94,908.56

Fund Balance = $94,908.56

b.

Interest Earned = 94,908.56 - 156(450)

Interest Earned = $24,708.56

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