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AustraliaVIC
VCE 12 General 2023

5.05 Compound interest investments and loans

Interactive practice questions

Which three of the following statements about compound interest are true?

Interest is earned on the principal.

A

The interest in any time period is calculated using only the original principal.

B

Interest is earned on any accumulated interest.

C

The amount of interest earned in any time period changes from one period to the next.

D
Easy
< 1min

A $\$2090$$2090 investment earns interest at $4.2%$4.2% p.a. compounded annually over $17$17 years. Use the compound interest formula to calculate the value of this investment to the nearest cent.

Easy
1min

Sally's investment of $\$8950$$8950 earns interest at $4%$4% p.a. compounded annually over $4$4 years .

What is the amount of interest earned to the nearest cent?

Easy
2min

Dave's investment of $\$6000$$6000 earns interest at $2%$2% p.a, compounded annually over $3$3 years.

Answer the following questions by repeated multiplication.

Easy
2min
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Outcomes

U3.AoS2.6

demonstrate the use of a recurrence relation to determine the depreciating value of an asset or the future value of an investment or a loan after 𝑛 time periods for the initial sequence

U3.AoS2.7

use a rule for the future value of a compound interest investment or loan, or a depreciating asset, to solve practical problems

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.AoS2.4

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

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