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Mathematics
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Contemporary Business
Exam 14: Amortization of Loans, Including Residential Mortgages
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Question 41
Essay
The Acme Parts Company is repaying a debt of $15 000.00 by payments of $1410.00 made at the end of every three months. Interest is 7.2% compounded monthly. a) How many payments are needed to repay the debt? b) What is the size of the final payment?
Question 42
Essay
Payments of $1000.00 deferred for nine years are received at the end of each month from a fund of $20 000.00 deposited today at 6% compounded monthly. Calculate the size of the final payment.
Question 43
Essay
The owner of the Pink Flamingo Motel borrowed $19 500.00 at 8.11% compounded semi-annually and agreed to repay the loan by making payments of $1110.00 at the end of every three months. a) How many payments will be needed to repay the loan? b) How much will be owed at the end of five years? c) How much of the payments made at the end of five years will be interest?
Question 44
Essay
A debt of $12 970.00 with interest at 7.23% compounded semi-annually is repaid by payments of $1880.00 made at the end of every three months. Construct an amortization schedule showing the total paid and the total cost of the debt.
Question 45
Essay
Vicki receives payments of $3000.00 at the beginning of each month from a pension fund of $150000.00. Interest earned by the fund is 6% compounded monthly. What is the number of payments Vicki will receive?
Question 46
Essay
John has agreed to purchase his partner's share in real estate by making payments of $5000.00 every three months. The agreed transfer value is $40000.00 and interest is 10% compounded annually. If the first payment is due at the date of the agreement, what is the size of the final payment?
Question 47
Essay
A loan of $8380.00 is repaid by equal payments made at the end of every three months for 3 years. If interest is 7% compounded quarterly, find the size of the quarterly payments and construct an amortization schedule showing the total paid and the total cost of the loan.
Question 48
Essay
A investor's price for a townhouse was $160,000.00. Sepaba Investments., the buyers of the rental unit, paid $40 000.00 down and financed the balance by making equal payments at the end of every six months for 25 years. Interest is 6% compounded semi-annually. a) What is the size of the semi-annual payment? b) How much will Sepaba Investments. owe after 20 years? c) What is the total cost of the building for Sepaba Investments? d) What is the total interest included in the payments?
Question 49
Multiple Choice
What is the outstanding balance after 23 payments on a 20-year mortgage that has monthly payments of $1062.32 and an interest rate of 6.6% compounded monthly?
Question 50
Essay
A $151 000.00 mortgage is to be repaid over a 17-year period by monthly payments rounded up to the next higher $50.00. Interest is 8.2% compounded semi-annually. a) Determine the number of rounded payments required to repay the mortgage. b) Determine the size of the last payment. c) Calculate the amount of interest saved by rounding the payments up to the next higher $50.00.
Question 51
Multiple Choice
How much principal is repaid in the 74th payment interval on a $142300 mortgage? The mortgage is amortized over 25 years and the payments are monthly. The interest rate is 7.44% compounded monthly.