HSC Together Year 12 Maths Standard: Future Value and Compound Interest

#### Maths Standard

• Simultaneous Linear Equations
• Non-linear Relationships
• Non-Right Angled Trigonometry
• Rates and Ratios
• Investments and Loans
• Annuities
• Bivariate Data Analysis
• The Normal Distribution
• Network Concepts
• Critical Path Analysis
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Back to other subjects

# Future Value and Compound Interest

### What is Compound Interest?

Compound interest is calculated on the initial amount borrowed or invested plus any interest that is either charged or earned respectively. We use the compound interest formula to calculate the future value of the loan or investment. The following post will explain future value and compound interest in HSC Standard Math, specifically focusing on:

• Compound interest and how it works
• Calculating future value and interest earned using the Compound Interest Formula
• Practical examples involving rearranging the formula
• Examples where it is not compounded annually, e.g. fortnightly, monthly, quarterly compounds.

### How does compound interest work?

The following video introduces compound interest.

## How to calculate future value and the interest earned

The following videos explain how to calculate the future value and the interest earned using the compound interest formula

## Practical example – rearrange the formula

The following video explains how to calculate how much you may need to invest to reach \$x by rearranging the formula.

## Examples where it is not compounded annually

The following video explains how to solve problems that are not compounded annually.

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