Exam 14: Amortization of Loans,including Residential Mortgages

A $30 000.00 mortgage is amortized by monthly payments over twenty years and is renewable after five years. a)If the interest rate is 8.5% compounded semi-annually,calculate the outstanding balance at the end of the five-year term. b)If the mortgage is renewed for a further three-year term at 8% compounded semi-annually,calculate the size of the new monthly payment. c)Calculate the payout figure at the end of the three-year term.

The Taylors agreed to monthly payments rounded up to the nearest $100.00 on a mortgage of $136 000.00 amortized over 15 years.Interest for the first five years was 8.5% compounded semi-annually.After 30 months,as permitted by the mortgage agreement,the Taylors increased the rounded monthly payment by 10%. a)Determine the mortgage balance at the end of the five-year term. b)If the interest rate remains unchanged over the remaining term,how many more of the increased payments will amortize the mortgage balance? c)How much did the Taylors save by exercising the increase-in-payment option?

A debt of $10 000.00 with interest at 8% compounded quarterly is to be repaid by equal payments at the end of every three months for two years. a)Calculate the size of the monthly payments. b)Construct an amortization table. c)Calculate the outstanding balance after three payments.

Li bought a house in Whitby for $305 000 5 years ago.He financed the house through Scotia Bank with a mortgage of $259 000 amortized over 25 years.Interest for the first 5 years was 4.4% compounded semi-annually and payments were made monthly.At the end of the 5 year term,Li has renewed the mortgage for another 5 years,at 3.7% compounded semi-annually.What is the monthly payment for the second term?

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?

Barbara borrowed $12 000.00 from the bank at 9% compounded monthly.The loan is amortized with end-of-month payments over five years. a)Calculate the interest included in the 20^th payment. b)Calculate the principal repaid in the 36^th payment. c)Construct a partial amortization schedule showing the details of the first two payments,the 20^th payment,the 36^th payment,and the last two payments. d)Calculate the totals of amount paid,interest paid,and the principal repaid.

A contract valued at $47 500.00 requires payments of $6951.00 every six months.The first payment is due in four years and interest is 6.6% compounded semi-annually. a)How many payments are required? b)What is the size of the last payment? c)How much will be paid in total? d)How much of what is paid is interest?

Honda is selling a 2014 Accord Coupe Ex M for $30 056.90 including freight,PDI and all applicable fees.The lease payment of $382 is due at the beginning of each month.If the interest rate compounded annually is 3.99% and the residual value is $13 200,determine the size of the final lease payment.

What is the monthly payment size of a 21-year mortgage for $169 600 and an interest rate of 7.2% compounded semi-annually?

What is the monthly payment size of a 25-year mortgage for $100 000 and an interest rate of 6% compounded semi-annually?

A contractor's price for a new building was $85 100.00.Stampede Inc.,the buyers of the building,paid $14 000.00 down and financed the balance by making equal payments at the end of every six months for 14 years.Interest is 12% compounded semi-annually. a)What is the size of the semi-annual payment? b)How much will Stampede Inc.owe after 6 years? c)What is the total cost of the building for Stampede Inc.? d)What is the total interest included in the payments?

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?

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.

A $248 000.00 mortgage amortized by monthly payments over 35 years is renewable after five years.Interest is 8.12% compounded semi-annually. a)What is the size of the monthly payments? b)How much interest is paid during the first year? c)How much of the principal is repaid during the first five-year term? d)If the mortgage is renewed for a further five-year term at 7.16% compounded semi-annually,what will be the size of the monthly payments?

A $176 000.00 mortgage is to be repaid over a 21-year period by monthly payments rounded up to the next higher $100.00.Interest is 9.44% compounded semi-annually. a)Determine the number of rounded payments required to repay the mortgage. b)Determine the size of the last payment.

A debt of $40 000.00 is repaid in monthly installments of $500.00.If interest is 8.0% compounded quarterly,what is the size of the final payment?

How much interest is paid after the first payment interval on a $100 000 mortgage? The mortgage is amortized over 25 years and the payments are monthly.The interest rate is 6% compounded semi-annually.Round your answer to the nearest dollar.

Olfert Inc.is repaying a loan of $52 500.00 by making payments of $4700.00 at the end of every six months.If interest is 7.5% compounded semi-annually,construct an amortization schedule showing the total paid and the total cost of the loan.

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.

How much principal is repaid in the 74^th payment interval on a $142 300 mortgage? The mortgage is amortized over 25 years and the payments are monthly.The interest rate is 7.44% compounded monthly.