Question 1

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.

Accepted Answer

A)   $330.00
B)   $333.88
C)   $333.00
D)   $300.88
E)   $330.88 E

Question 2

Catrina receives payments of $1120.00 at the beginning of each month from a pension fund of $79 500.00. Interest earned by the fund is 11.36% compounded monthly.
a) What is the number of payments Catrina will receive?
b) What is the size of the final payment?

Accepted Answer

a) 79500.00 = 1120  (1.0094667)
70.31648017 =  0.665662679= 1 - 1.0094667-n
-n ln 1.0094667 = ln 0.334337321
-n(0.009422139) = -1.095604853
n = 116.2798491 payments
b) PVn = 1120  (1.009466667)
= 1120(0.2789165895)(1.009466667) = $314.50

Question 3

How much interest is paid after the first payment interval on a $100000 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.

Accepted Answer

A)   $146
B)   $640
C)   $527
D)   $494
E)   $401 D

Question 4

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?

Accepted Answer

The answer of Angelina has agreed to purchase her partner's...

Question 5

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 3rd year?
d) Construct an amortization schedule showing details of the first three payments, the last three payments, and totals.

Accepted Answer

The answer of A debt of $42 500.00 is repaid...

Question 6

Lisa saved $750 000.00. If she withdraws $12000.00 at the beginning of every month and interest is 12% compounded monthly, what is the size of the last withdrawal?

Accepted Answer

The answer of Lisa saved $750 000.00. If she withdraws...

Question 7

Cody borrowed $9100.00 from his credit union. He agreed to repay the loan by making equal monthly payments for 4 years. Interest is 9% compounded monthly.
a) What is the size of the monthly payments?
b) How much will the loan cost him?
c) How much will Cody owe after 16 months?
d) How much interest will he pay in his 26th payment?
e) How much of the principal will be repaid in the 18th payment?
f) Prepare a partial amortization schedule showing details of the first three payments, Payments 24, 25, 26, the last three payments, and totals.

Accepted Answer

The answer of Cody borrowed $9100.00 from his credit union....

Question 8

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?

Accepted Answer

The answer of Karen receives pension payments of $4570.00 at...

Question 9

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 24th payment is interest?
c) What is the principal repaid in the 37th payment?
d) Prepare a partial amortization schedule showing details of the first three payments, the last three payments, and totals.

Accepted Answer

The answer of Mr. Lamb borrowed $8321.00 at 11.12% compounded...

Question 10

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.

Accepted Answer

The answer of Olfert Inc. is repaying a loan of...

Question 11

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.

Accepted Answer

The answer of A $30 000.00 mortgage is amortized by...

Question 12

A bank has an interest rate of 5% compounded semi annually for a five year closed mortgage. If the mortgage has monthly payments, calculate the effective rate of interest per each term.

Accepted Answer

The answer of A bank has an interest rate of...

Question 13

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.

Accepted Answer

The answer of A debt of $10 000.00 with interest...

Question 14

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 21st payment?

Accepted Answer

The answer of A loan of $19 000.00 is repaid...

Question 15

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?

Accepted Answer

The answer of A debt of $41 000.00 is repaid...

Question 16

A loan of $10000.00 is repaid by quarterly payments of $1000.00 each at 12% compounded quarterly. What is the principal repaid by the 11th payment?

Accepted Answer

The answer of A loan of $10000.00 is repaid by...

Question 17

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?

Accepted Answer

The answer of A $248 000.00 mortgage amortized by monthly...

Question 18

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.

Accepted Answer

The answer of A factory valued at $100 000.00 is...

Question 19

What is the size of the final unequal payment of a loan for $2723.44 if it has quarterly payments of $500? The interest rate is 8.4% compounded quarterly.

Accepted Answer

A)   $432.14
B)   $423.14
C)   $441.14
D)   $414.14
E)   $424.14

Question 20

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.

Accepted Answer

The answer of A debt of $12 500.00 with interest...

Exam 14: Amortization of Loans, Including Residential Mortgages