Answer:
$11,098.94
Step-by-step explanation:
first we must calculate the future value of the 7 year annuity:
FV of an annuity = p x {[(1 + r)ⁿ - 1] / r}
- p = $13,100
- r = 17.18%
- n = 7
FV of an annuity = $13,100 x {(1.1718⁷ - 1) / 0.1718} = $13,100 x 11.8377 = $155,073.56
since he wants to have $176,000, he needs $20,926.44 more in 7 years (= $176,000 - $155,073.56)
X = FV / (1 + r)ⁿ
- future value =
- n = 4 years
- r = 17.18%
X = $20,926.44 / 1.1718⁴ = $11,098.94