In 18 years you want to have 25000 in a college fund If the
In 18 years you want to have 25000 in a college fund. If the tuition earns 4.45% compounded semiannually what amount should you deposit at the beginning of each 6 months?
In 18 years you want to have 25000 in a college fund. If the tuition earns 4.45% compounded semiannually what amount should you deposit at the beginning of each 6 months?
Solution
Future value = 25000
Maturity = 18 years
Semi annual interest rate = 4.45%/2 = 2.225%
Total maturity in 6 months periods = 18*2 = 36 periods
Let the amount to be deposited every 6 months is X.
Formula for future value:
25000 = X/2.225%[(1+0.02225)^36 - 1]
25000*2.225% = X*1.2082
556.25 = 1.2082X
X = 556.25/1.2082 = 460.4
Amount to be deposited at the beginning of each 6 months = 460.4
