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6.08 Reducing balance loans

Interactive practice questions

Han received a 9-year $43000 loan at $10%$10% p.a. monthly reducible interest. He makes monthly instalments of $209.

a

What is the amount owing after one month (to the nearest cent)?

b

What is the amount owing after 2 months (to the nearest cent)?

c

What is the amount owing after 3 months (to the nearest cent)?

d

Is the amount owing increasing or decreasing?

Increasing

A

Decreasing

B
e

Will this loan eventually be paid off if the instalments remain the same?

Yes

A

No

B
Easy
6min

Monthly repayments of $3990 are made on a loan of $158800 borrowed at a rate of $12%$12% p.a. compounded monthly.

Examine this table of home loan repayments and complete the final row.

Easy
5min

A credit card charges annual interest of $18.24%$18.24%.

Medium
6min

The following table shows the principal and interest over the first 4 months of a loan.

Easy
7min
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Outcomes

ACMGM097

use a recurrence relation to model a reducing balance loan and investigate (numerically or graphically) the effect of the interest rate and repayment amount on the time taken to repay the loan

ACMGM098

with the aid of a financial calculator or computer-based financial software, solve problems involving reducing balance loans; for example, determining the monthly repayments required to pay off a housing loan

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