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?

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

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

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