In: Finance
How much interest will you pay during the last six years of a 15-year $300,000 loan with an APR of 3.15% assuming you only make the minimum required monthly payments?
A. $13,915
B. $18,223
C. $18,641
D. $13,551
Step 1) Calculate monthly payment:
We are given the following information
Monthly Payment | PMT | To be calculated |
Rate of interest | r | 3.15% |
Number of years | n | 15.00 |
Monthly Compounded | frequency | 12.00 |
Loan amount | PV | 300000.00 |
We need to solve the following equation to arrive at the required PMT:
So the monthly payment is $2093.46
Step 2) Formulate the amortization schedule:
Opening balance = previous year's closing balance
Closing balance = Opening balance-Principal repayment
PMT is calculated as per the above formula
Interest = 0.0315 /12 x opening balance
Principal repayment = PMT - Interest
Step 3 )So the interest paid in last 6 years is the sum of the
last 72 interest payments from 109th payment to the 180th payment.
This comes to $13,550.85 or $13,551 rounded
to the nearest dollar. So the correct option is D