Answer:
$12,053.86
Explanation:
The easiest way to calculate this is using an excel spreadsheet and the future value function. Using the FV function =FV(rate,nper,pmt)
- rate = 3%/12 = 0.25%
- nper = 36
- pmt = 175
This function will give us the future value of the annuity =FV(0.25%,36,175) = $6,583.60
Now we must add the future value of the original $5,000:
future value = $5,000 x (1 + 0.0025)³⁶ = $5,470.26
total future value = $6,583.60 + $5,470.26 = $12,053.86
if you do not want to use an excel spreadsheet, you can use the following formula:
F = P x ([1 + r]ⁿ - 1 )/r
F = 175 x [(1 + 0.0025)³⁶ - 1] / 0.0025 = $6,583.60
the answer will be the same
