Answer:
The correct answer for future value if first payment occur today is $449,645.24 and if first payment occur at the end of year is $408,761.13.
Explanation:
According to the scenario, the given data are as follows:
Payment (pmt) = $7,990
Rate of interest (r) = 10%
Time (n) = 19 years
So, we can calculate the future value by using following formula:
Future Value ( if payment occurs today) :
FV = Pmt (((1+r)^n - 1) ÷ r) x (1+r)
By putting the value:
= $7,990 ((( 1+ 0.10)^19 -1) ÷ .10) × ( 1 + 0.10)
= $7,990 ( 51.16) × ( 1.10)
= $449,645.24
Future Value ( if payment occurs at the end of year):
FV = Pmt x ((1+r)^n -1)) ÷ r)
= $7,990 ((1 + 0.10)^19 -1) ÷ 0.10)
= $7,990 × 51.16
= $408,761.13
