Solving Problems Involving Compound Interest Non-Annual Compounding (VCE Unit 1)

Connect the compound interest formula to repeated applications of simple interest using appropriate digital technologies (ACMNA229)

LO: To calculate compound interest in non-annual settings.

Know:

  • What interest is.
  • How to calculate simple interest.
  • How to calculate compound interest.

Understand:

  • That a quantity can grow by a set amount over a set period of time.

Do:

  • I can calculate the compound interest of a quantity in non-annual interest settings.

What is Interest?

Interest is something that occurs when people borrow money.

When people borrow money, it usually costs them something in order to borrow money.

What lenders charge is called interest.

Formula for Calculating Interest

I = PRT
I – Interest earned
P – Principle (amount starting/amount invested)
R- Rate (how much does it grow)
T – Time (length invested)

Compound Interest

Sometimes banks or lenders are sneaky, and what they do is charge you interest on top of the interest in order to make more money. This is called compound interest.

It is basically earning “interest on interest”.

Notice how interest is charged on top of the interest. So over the course of 5 years the difference is $131.41.

Formula for Calculating Compound Interest

PV – is present value, basically what is the amount you currently owe or have invested.

r – is the interest rate, basically what percentage will they charge you per period. It’s usually written as a decimal number, so 5% is represented with 0.05.

n – is the number of periods (is it charged once per year – annually, or bi-annually – twice per year.)

FV – is the future value, what is the total amount you will owe or gain after all of the periods.

Formula for Calculating Compound Interest Non-Annual Settings

Interest rates are usually in the form of annual rates, however, there are some situations where interest rates may by charged in quarterly, monthly or weekly intervals. When this happens you need to change the formula.

Compound Interest Worksheets

compound-interest-worksheet-1.pdf
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compound-interest-worksheet-2.pdf
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compound-interest-worksheet-3.pdf
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compound-interest-worksheet-4.pdf
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compound-interest-worksheet-5.pdf
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Compound Interest Videos

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