topic badge
AustraliaVIC
VCE 12 General 2023

6.01 Reducing balance loans

Interactive practice questions

Ivan takes out a car loan for $\$24000$$24000. He is charged $8.1%$8.1% per annum interest, compounded monthly. Ivan makes repayments of $\$450$$450 at the end of each month.

Complete the values in the empty cells in the table below. Give your answers correct to the nearest cent.

Month Opening Balance Interest Repayment Closing Balance
1 $24000$24000 $162.00$162.00 $450$450 $23712.00$23712.00
2 $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$
3 $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$
Easy
7min

Kate takes out a personal loan for $\$40000$$40000. The interest on the loan is charged quarterly. Kate makes repayments of $\$900$$900 at the end of each quarter.

Easy
9min

Maximilian takes out a mortgage to purchase an investment property. A portion of his payments and balances are shown in the table below.

Easy
8min

Xanthe takes out a car loan.

Easy
6min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

Outcomes

U3.AoS2.3

the concepts of financial mathematics including simple and compound interest, nominal and effective interest rates, the present and future value of an investment, loan or asset, amortisation of a reducing balance loan or annuity and amortisation tables

U3.AoS2.8

use a table to investigate and analyse on a step–by-step basis the amortisation of a reducing balance loan or an annuity, and interpret amortisation tables

U3.AoS2.4

the use of first-order linear recurrence relations to model compound interest investments and loans, and the flat rate, unit cost and reducing balance methods for depreciating assets, reducing balance loans, annuities, perpetuities and annuity investments

U3.AoS2.9

use technology with financial mathematics capabilities, to solve practical problems associated with compound interest investments and loans, reducing balance loans, annuities and perpetuities, and annuity investments

What is Mathspace

About Mathspace