Noma plans to save $3,200 per year for the next 25 years. If she can earn an annual interest rate of 8.2 percent, how much will she have in 25 years?
Multiple Choice
$224,826.11
$240,885.11
$260,637.69
$80,000.00
$230,411.85
Please find the below explanation and “ Don’t forget to give a like! Thank you”
We will use Annuity formula
FV of an annuity = P [(1+ r)n – 1 / r ]
FV = Future value
P = periodic payment = $3200
r = interest rate = 8.2% or 0.082
n = number of periods = 25 years
By applying the formula
FV = $3200[(1+0.082)25 – 1 / 0.082 ]
= $3200[(1.082)25 – 1 / 0.082 ]
= $3200[ 7.172681 – 1 / 0.082 ]
= $3200[ 6.172681 / 0.082 ]
= $3200[75.276597]
= $240885.11
Noma will save $240885.11 in 25 years.
The answer is $240885.11
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