Answer:
$256,571
Explanation:
College Graduation fee for four years in the present value
PV = $20,000 x 4 = $80,000
As historically the fee has risen by 6% we need to find future value when the baby will be 20 years old by using future value formula
Let's say
FV = Future value
PV = Present value
n = number of years
i = Interest
Workings
FV = PV x ((1+growth rate)^n)
FV = $80,000 x ( (1+0.06)^20)
FV = $256,571
As the bank interest rate is 8% the saving need to be deposited annualy can be calculated as
Savings = (FV x i) / ((1+i)^n)-1)
Savings = ($256,571 x 0.08) / ((1+0.08)^20)-1)
Savings = 20,525.68 / 3.66
Savings = $5,608