In: Finance
Today you are going to put $45,000 into an investment. You expect to earn an APR (based on quarterly compounding) of 7.16%. How much will you have in the account in exactly 8 years? To nearest $0.01.
We use the formula:
A = P(1+r/4)^4n
where
A = future value
P = present value
r = rate of interest
n = time period.
A = $45,000*(1+0.0716/4)^(4*8)
= $45,000*(1+0.0179)^(32)
= $45,000*(1.0179)^(32)
= $45,000*1.76426435
= $79,391.90
You will have in the account in exactly 8 years is 79,391.90.