A buyer with a 15-year, $250,000 loan at a 5.5% interest rate has a monthly principal and interest payment totaling $2,042.71. What is the total amount of interest the borrower will pay over the course of the loan

Respuesta :

Given:

Loan amount = $250000

Interest rate = 5.5%

Interest payment = $2042.71

To find:

Total amount of interest

Solution:

The total number of months in 15 years = [tex]15\times12=180\text{ years }[/tex]

Total monthly payments will be [tex]180\times \$2042.71 = \$367687.8[/tex]

So, the total pay-backs will be $3,67,687.8

Total interest paid will be as follows,

[tex]\text{Total interest paid = Total pay-backs - Loan amount}[/tex]

On plugging-in the values in the above formula we get,

[tex]\Rightarrow \$3,67,687.8-\$250,000=\$1,17,687.80[/tex]

Therefore, the total amount of interest that the borrower will pay over the course of the loan is $1,17,687.80.