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Contemporary Business Mathematics Study Set 2
Quiz 14: Amortization of Loans,including Residential Mortgages
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Question 21
Essay
Far East Imports Inc.owes $64 000.00 to be repaid by monthly payments of $2475.00.Interest is 6.12% compounded monthly. a)How many payments will Far East Imports Inc.have to make? b)How much interest is included in the 15
th
payment? c)How much of the principal will be repaid by the 17
th
payment? d)Construct a partial amortization schedule showing details of the first three payments,the last three payments,and totals.
Question 22
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 23
Essay
Angelina has agreed to purchase her partner's share in the business by making payments of $1720.00 every three months.The agreed transfer value is $19 500.00 and interest is 9.11% compounded annually.If the first payment is due at the date of the agreement,what is the size of the final payment?
Question 24
Essay
Lisa saved $750 000.00.If she withdraws $12 000.00 at the beginning of every month and interest is 12% compounded monthly,what is the size of the last withdrawal?
Question 25
Essay
A $180 000.00 mortgage is to be amortized by making monthly payments for 22.5 years.Interest is 7.2% compounded semi-annually for a four-year term. a)Compute the size of the monthly payment. b)Determine the balance at the end of the four-year term. c)If the mortgage is renewed for a five-year term at 8.66% compounded semi-annually,what is the size of the monthly payment for the renewal term?
Question 26
Essay
A mortgage balance of $137 960.70 is to be repaid over a eleven-year term by equal monthly payments at 8.1% compounded semi-annually.At the request of the mortgagor,the monthly payments were set at $1140.00. a)How many payments will the mortgagor have to make? b)What is the size of last payment? c)Determine the difference between the total actual amount paid and the total amount required to amortize the mortgage by the contractual monthly payments.
Question 27
Essay
A debt of $42 500.00 is repaid by payments of $4850.00 made at the end of each year.Interest is 7% compounded semi-annually. a)How many payments are needed to repay the debt? b)What is the cost of the debt for the first three years? c)What is the principal repaid in the 3
rd
year? d)Construct an amortization schedule showing details of the first three payments,the last three payments,and totals.
Question 28
Essay
A debt of $41 000.00 is repaid in monthly installments of $660.00.If interest is 8.4% compounded quarterly,what is the size of the final payment?
Question 29
Essay
Karen receives pension payments of $4570.00 at the end of every six months from a retirement fund of $82 000.00.The fund earns 8.06% compounded semi-annually. a)How many payments will Karen receive? b)What is the size of the final pension payment?
Question 30
Essay
Andre has saved $152 000.00.If he withdraws $1750.00 at the beginning of every month and interest is 7.5% compounded monthly,what is the size of the last withdrawal?
Question 31
Essay
A factory valued at $100 000.00 is purchased for a down payment of 28% and payments of $4000.00 at the end of every three months.If interest is 9% compounded monthly,calculate the size of the final payment.