How is interest calculated?

Understanding how interest is calculated on loans, savings accounts, and other financial products can help you make informed decisions about saving and borrowing money. We’ll guide you through the process, with examples of how interest is calculated on deposits.

 

  1. Simple interest: Interest is calculated only on the principal amount (the original amount deposited) . It doesn’t include any interest earned.
  2. Compound interest: Interest is calculated on the principal amount, plus any interest that’s accumulated over time. Essentially, you earn interest on your interest!

Simple interest example.

  • You deposit $100.
  • The interest rate is 5% per year for three years.

Each year, you earn 5% on the $100 you deposited:

  • Year 1: $100 + $5 = $105
  • Year 2: $105 + $5 = $110
  • Year 3: $110 + $5 = $115

Compound interest example.

  • You deposit $100.
  • The interest rate is 5% per year for three years.

Each year, you earn 5% on the total amount in your account (principal plus interest earned):

  • Year 1: $100 + $5 = $105
  • Year 2: $105 + $5.25 = $110.25
  • Year 3: $110.25 + $5.51 = $115.76

Compound interest grows at a faster rate than simple interest because it’s based on the accumulated total, not just the principal amount of $100.

 

The amount of interest you earn depends on the following factors:

  • the principal amount (the original amount, plus any future monies, deposited)
  • the interest rate; usually expressed as an annual percentage rate (APR)
  • the length of time the money is deposited (the interest earning period)
  • whether the interest is simple or compound

Example one: high interest savings   .

A HISA earns you interest on the money you deposit. This interest can be compounded, meaning you earn interest on your interest.

Scenario: You deposit $10,000 into a HISA with an annual interest rate of 2.00% and don’t withdraw any money throughout the period.

Steps to calculate interest.

The formula uses the following values:

  1. Principal (P): This is the amount of money you start with. In this case, it’s $10,000.
  2. Annual Interest Rate (R): This is the yearly interest rate, which is 2.00%. It means you earn 2.00% on your $10,000 in one year.
  3. Number of years (Y): We’ll calculate the interest for three years.

Calculation: 

Earning 2.00% interest per year on the total amount, here’s how you calculate compounded interest over three years:

  1. Year 1: $10,000 + $(10,000 x 0.02) = $10,200
  2. Year 2: $10,200 + $(10,200 x 0.02) = $10,404
  3. Year 3: $10,404 + $(10,404 x 0.02) = $10,612.08

Summary: 

If you deposit $10,000 into a HISA with an annual compounded interest rate of 2.00%, you’d earn $612 in interest after three years.

 

Example two: one-year non-redeemable term deposit.

This type of deposit means your money is locked in for a year (meaning you can’t withdraw it for the duration of the term) and earn a fixed interest rate. The interest is usually simple interest, meaning it’s calculated only on the principal amount.

Scenario: You invest $10,000 in a one year non-redeemable term deposit with an annual interest rate of 4.55%.

Steps to calculate interest.

The formula uses the following values:

  1. Principal (P): This is the amount of money you start with. In this case, it’s $10,000.
  2. Annual Interest Rate (R): This is the yearly interest rate, which is 4.55%. It means you earn 4.55% of your $10,000 in one year.
  3. Time (T): The period for the term deposit is one year.

The formula to calculate your interest is:

Interest = P × R × T

Here’s the calculation using our example:

Interest = $10,000 (P) x .0455% (R) x one year (T)

Summary:

If you deposit $10,000 into a one-year non-redeemable term deposit with an annual interest rate of 4.55%, you’d earn $455 in interest after one year.

 

 

Understanding how to calculate both simple and compound interest can help you better manage your finances and make more informed decisions regarding saving, borrowing, and investing. Always consider the frequency of compounding when comparing financial products, as it can significantly impact the amount of interest you’ll earn or pay.

Ready to start saving, earning, or investing? Get started here, by visiting us at your nearest community branch, or by calling 604-877-7000 (toll-free 1-888-826-2489).

 

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