Answer:
The correct answer is $6934.48.
Explanation:
According to the scenario, the given data are as follows:
Time period ( 41 - 64 years) (n)= 24 years
Rate of interest (r) = 8%
Future value (FV) = $500,000
Annual deposit amount = P
So, we can calculate the annual deposit amount by using following formula:
FV = P × (1+r) × [{ (1+r)^n - 1} ÷ r]
By putting the value, we get
$500,000 = P × ( 1 + 0.08) [{ (1+0.08)^24 - 1} ÷ 0.08]
$500,000 = P × ( 1.08) [{ (1.08)^24 - 1} ÷ 0.08]
$500,000 = P × ( 1.08) [{ 6.34118073724 - 1} ÷ 0.08]
$500,000 = P (72.1035)
P = $500,000 ÷ 72.1035
P = 6934.48
