Question

A homeowner has a mortgage balance of $149,570.75. If the interest rate on the loan is 9.5% and the monthly payment is $1,303.55 what will be the mortgage balance after the next two payments?

Answer 1

Principal balance at the end of year 2 = 149,330.9079

Step-by-step explanation:

Loan Amortization: A loan repayment method structured such that a series of equal periodic installments will be paid for certain number of periods to offset both the loan principal amount and the accrued interest.

We will use the following relationships:

Interest paid = Interest rate × loan balance

Principal paid = Monthly installment - Interest paid

Principal balance= loan balance - principal paid

Year 1

Interest paid = 9.5%/12 × 149,570.75 = 1,184.101

Principal paid in year 1 = 1,303.55 - 1,184.101 = 119.448

Principal balance = 149,570.75 - 119.448= 149,451.3018

Year 2

Interest paid = interest rate × loan balance in year 1 = 1183.156

Interest paid = 9.5%/12 × 149,451.3018 = 1183.156

Principal paid = 1,303.55 - 1183.156139 = 120.393

Principal balance at the end of year 2= Principal balance in year 1 - Principal paid in year 2

= 149,451.3018 - 120.393861 = 149330.9079

Principal balance at the end of year 2 = 149,330.90