Answer:
You will have <u>$5,204.04</u> in your account after 3 years.
Explanation:
To calculate this, the formula for calculating the Future Value (FV) of an Ordinary Annuity is used as follows:
FV = M × {[(1 + r)^n - 1] ÷ r} ................................. (1)
Where,
FV = Future value of the amount after 3 years =?
M = Payment every 6 months = $1,000
r = Semiannual interest rate = 4% ÷ 2 = 2%, 0.02
n = number of times the payment is made = 5
Substituting the values into equation (1), we have:
FV = 1,000 * {[(1 + 0.02)^5 - 1] / 0.02}
FV = 1,000 * {[1.02^5 - 1] / 0.02}
FV = 1,000 * {[1.1040808032 - 1] / 0.02}
FV = 1,000 * {0.1040808032 / 0.02}
FV = 1,000 * 5.20404016
FV = 5,204.04016 = $5,204.04 to the nearest cent.
Therefore, you will have <u>$5,204.04</u> in your account after 3 years.
