Question

A $10,000 loan is to be repaid with 7 equal half-yearly instalments, the first repayment being in 6 months from today. Interest is at 7%p.a. compounding half-yearly. Calculate the principal repaid in the fourth instalment. ( Use the =PPMT() function in excel)

Answer #1

A $19,000 loan is to be repaid with 10 equal half-yearly
instalments. Interest is at 7.0%p.a. compounding half-yearly
Calculate the principal repaid in the fourth instalment. (use
excel; answer to include cents but do not use the comma
separator)

A debt of $17,000 with interest at 7.2%p.a compounding quarterly
is to be repaid with 9 equal end-of-quarter payments.
How much interest is in the final instalment?
(Hint use excel: You can either:
- First calculate the loan
outstanding at the beginning of the last quarter. The interest can
then be calculated as if you were setting up a loan repayment
schedule for the final quarter.
- Use IPMT function)

A debt of $11,000 with interest at 8.1%p.a compounding quarterly
is to be repaid with 9 equal end-of-quarter payments.
How much interest is in the final instalment?
(Hint use excel: You can either:
- First calculate the loan
outstanding at the beginning of the last quarter. The interest can
then be calculated as if you were setting up a loan repayment
schedule for the final quarter.
- Use IPMT function)

A debt of $18,000 with interest at 7.3%p.a compounding quarterly
is to be repaid with 8 equal end-of-quarter payments.
How much interest is in the final instalment?
(Hint use excel: You can either:
- First calculate the loan
outstanding at the beginning of the last quarter. The interest can
then be calculated as if you were setting up a loan repayment
schedule for the final quarter.
- Use IPMT function)

A loan of $100,000 is to be repaid by two equal repayments of X.
One repayment is due at the end of 2 years, the second repayment is
due at the end of 6 years. The interest rate is at 4% p.a.
compounded quarterly for the first 3 years and then 4.4% p.a.
compounded quarterly thereafter. What is the size of each
repayment?
a. $57,989.46
b. $56,779.19
c. $58,222.14
d. $58,762.97

A loan of $100,000 is made today. This loan will be repaid by 10
level repayments, followed by a final smaller repayment, i.e.,
there are 11 repayments in total.
The first of the level repayments will occur exactly 2 years
from today, and each subsequent repayment (including the final
smaller repayment) will occur exactly 1 year after the previous
repayment. Explicitly, the final repayment will occur exactly 12
years from today.
If the interest being charged on this loan is...

A local organization borrows $1,000, and the loan is to be
repaid in 6 equal payments at each of the next 6 years with monthly
compounding. The lender is charging a 12 percent annual interest
rate on the loan. Calculate the monthly payment and construct the
amortization table for the first three months only.

a loan of $15000 at 9% p.a. is to be settled in three
instalments as follows: first payment of $5000 in three months and
two equal payments, one in six months and the other in nine months.
Calculate the size of each equal payments. Let the focal date be
three months from now.

Eve borrows 10,000. The loan is being repaid with the following
sequence of monthly payments: 100, 150, 100, 150, 100, 150, etc.
The annual nominal interest rate is 7.8% payable monthly. Calculate
the amount of principal repaid in the 13th payment.

Set up an amortization schedule for a $30,000 loan to be repaid
in equal installments at the end of each of the next 3 years. The
interest rate is 10% compounded annually. How much repayment of
principal was included in the first payment?

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