Exam 14: Amortization of Loans,including Residential Mortgages

Peter worked for GM for 31 years.On his retirement,he opted a pension buy-out and received $1 467 921.He invested his money in an annuity that provided for payments of $9000 at the end of every month.If interest is 4.4% compounded monthly,determine the size of the final payment.

A contract worth $59 000.00 provides benefits of $21 000.00 at the end of each year.The benefits are deferred for six years and interest is 8.95% compounded quarterly. a)How many payments are to be made under the contract? b)What is the size of the last benefit payment?

A loan of $10 000.00 is repaid by quarterly payments of $1000.00 each at 12% compounded quarterly.What is the principal repaid by the 11^th payment?

How much interest is paid in total on a 3-year loan for $28 600 (rounded to the nearest dollar)? The interest rate is 8.7% compounded monthly and the payments are monthly.

The Korean community is planning to buy a place for their community in Markham valued at $1 697 000.They made a down payment of 10% and payments of $400 000 are required at the end of every 3 months.If interest is 9% compounded monthly,what is the size of the final payment

A loan of $14 100.00 is amortized over 11 years by equal monthly payments at 5.4% compounded monthly.Construct an amortization schedule showing details of the first three payments,the fortieth payment,the last three payments,and totals.

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?

A loan of $19 000.00 is repaid by quarterly payments of $900.00 each at 8% compounded quarterly.What is the principal repaid by the 21^st payment?

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.

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.

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?

Munawar is a first time buyer and bought a brand new townhouse in Oshawa for $212 000.He has saved enough to make a 5% down payment and will have to pay mortgage loan insurance at 2.75% of the mortgage balance.Munawar wants the insurance premium added to the maximum allowable loan balance.Determine his maximum initial mortgage balance.

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.

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?

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.

How much interest is paid in total on a 1-year loan for $5000? The interest rate is 12 % compounded monthly and the payments are monthly.

How much interest is paid in the 53^rd monthly payment interval of a loan for $43 200? The loan is amortized at a rate of 9.17% compounded annually over 7 years.

A debt of $17 000.00 is repaid by quarterly payments of $1430.00.If interest is 6.12% compounded quarterly,what is the size of the final payment?

Mr.Lamb borrowed $8321.00 at 11.12% compounded monthly.He agreed to repay the loan in equal monthly payments over five years. a)What is the size of the monthly payment? b)How much of the 24^th payment is interest? c)What is the principal repaid in the 37^th payment? d)Prepare a partial amortization schedule showing details of the first three payments,the last three payments,and totals.

A debt of $12 500.00 with interest at 5.5% compounded semi-annually is amortized by making payments of $1000.00 at the end of every six months.Calculate the outstanding balance after five years.