Question

Harlan Corporation deposits $225,000 every June 30th and December 31st in a savings account (beginning in the current year) for the next three years so that it can purchase a new piece of machinery at the end of three years. The interest rate is 4%. How much money will Harlan Corporation have at the end of three years

Answer 1

$1,419,327.22

Step-by-step explanation:

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 = Annuity payment = $225,000

r = Semi annual interest rate = 4% ÷ 2 = 2%, 0.02

n = number of periods the investment will be made = 3 × 2 = 6

Substituting the values into equation (1), we have:

FV = $225,000 × {[(1 + 0.02)^6 - 1] ÷ 0.02} = $1,419,327.22

Therefore, Harlan Corporation will have $1,419,327.22 at the end of three years.