Question

You borrowed $185,000 for 30 years to buy a house. The interest rate is 4.35 percent, compounded monthly. If you pay all of your monthly payments as agreed, how much total interest will you pay on this mortgage

Answer 1

Answer:

$495,614.80

Explanation:

The interest paid will be the total amount paid minus the principal amount.

The amount paid after 30 years using compound interest will be

the future amount. Interest rate is compounded monthly . There are 12 compounds in a year, equivalent to 360 after 30 years.

interest is 4.35 per year or 4.35/12 per month

FV = P x ( 1+ r)N

Fv = 185,000 x ( 1+ 0.3625/100)360

Fv = 185,000 x (1.003625)30

Fv = 185,000 x 3.67899783

Fv = 680,614.60

Interest paid will be = $,614.80 - $185,000.00

=$495,614.80