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Mathematics
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Business Mathematics Study Set 1
Exam 13: Loan Amortization: Mortgages
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Question 41
Short Answer
The interest rate on a $250,000 mortgage is 6.5% compounded monthly. Calculate the monthly payment for an amortization period of 15 and 20 years.
Question 42
Short Answer
A mortgage calls for monthly payments of $887.96 for 25 years. If the loan was for $95,000, calculate the semi-annually compounded nominal rate of interest on the loan.
Question 43
Multiple Choice
A home improvement loan is to be repaid by equal monthly payments for six years. The interest rate is 5.4% compounded monthly and the amount borrowed is $33,500. How much interest will be included in the first payment?
Question 44
Essay
Metro Construction received $60,000 in vendor financing at 6.5% compounded semi-annually for the purchase of a loader. The contract requires semi-annual payments of $7,500 until the debt is paid off. Construct the complete amortization schedule for the debt. How much total interest will be paid over the life of the loan?
Question 45
Multiple Choice
The Zhao family purchased a $670,000 home 7 years ago. The mortgage was based on 25-year amortization and the term of the mortgage was for 7 years at 6.3% interest compounded semi-annually. At the start of year 8, the Zhao family have refinanced their mortgage at 6.1% compounded semi-annually, and have decided to increase their payments by 10% of the original payment amount. Determine how much faster the family will be able to pay off the mortgage by increasing payments and lowered interest rates.
Question 46
Short Answer
Monthly payments of $484.99 are to be made on a loan of $20,000 at 7.7% compounded quarterly for four years. How much principal is paid off in the 20
th
payment?
Question 47
Multiple Choice
A home improvement loan is to be repaid by equal monthly payments for six years. The interest rate is 5.4% compounded monthly and the amount borrowed is $33,500. How much interest will the borrower pay over the six years?