CA
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# Compound interest calculator

Peter Carleton

&

Stacie Hurst

Last updated:

As your savings gets larger, compound interest works faster, making it one of your most powerful wealth-building tools. Use our calculator to find out how much you could earn with compound interest.

### How do banks calculate compound interest?

With most savings accounts, interest is calculated every day on your daily closing balance.

#### Compound interest formula

Here’s the equation that most banks use for savings accounts:

##### (Daily closing balance) x (interest rate)365

Interest begins to accumulate on the day of your first deposit. It’s then credited into your account on the last day of each month. If you close your account, your accrued interest is deposited on the day it’s closed.

Any interest awarded to your savings account is typically available for use on the same day it’s credited.

### How can I figure out compound interest?

Compound interest is a complicated calculation that’s often easier left to online calculators designed for that purpose. Still, you can refer to the same formula banks use to calculate your compound interest:

Daily closing balance x interest rate percentage / 365

Say you invest \$1,000 with an interest rate of 10% compounded annually for 5 years. Using the compound interest formula, you’ll find that your initial investment of \$1,000 earns \$100 after the first year, giving you a total of \$1,100.

That amount will then grow by 10% the following year, bringing your balance to \$1,210. This amount is compounded the third year, and so on. After 5 years, your original balance would have grown to \$1,610 due simply to compounding interest.

### How does compound interest work in technical terms?

Think of compounding as a way of earning interest on your interest. The amount you invest in a savings account earns interest, which is rolled into the total investment. The total investment continues earning interest – only this time, on a bigger balance than before.

Compound interest differs from simple interest, which is typically associated with loans. For loans, simple interest is calculated on the principal — or the original loan amount — only. Interest is not part of the calculation.

Again, it’s complicated. But we can get an idea of the benefits of compound interest on your savings by analyzing the mathematical formula associated with it: Here’s what those symbols represent:

• A — the future value of your total investment, including earned interest
• P — your initial deposit amount or principal investment
• r — the interest rate annually as a decimal
• n — how often interest is compounded each year
• t — the number of years the money is invested for

For most savings accounts, your interest is compounded monthly — or 12 times in a year. For long-term savings products, like Guaranteed Investment Certificates (GICs), the formula or compounding period may differ.

#### Case Study: How compound interest helps your savings grow

To better understand the benefits of compound interest, take a look at the following case:

Here, Miles deposits \$5,000 into a standard savings account that pays interest at a rate of 1.5%.

Interest is calculated daily and deposited into the account at the end of each quarter:

Principal (P)Rate (r)Compound (n)Time (t)Interest earned after 1 year
\$5,0001.5%41\$75.42

At that same rate for the next five years, here’s how much he’ll earn:

Principal (P)Rate (r)Compound (n)Time (t)Interest earned after 5 years
\$5,0001.5%45\$388.66

If interest is paid annually, here’s where Miles’s interest earnings would stand after 5 years:

Principal (P)Rate (r)Compound (n)Time (t)Interest earned after 5 years
\$5,0001.5%15\$386.42

If interest is compounded daily, here’s interest earnings after 5 years:

Principal (P)Rate (r)Compound (n)Time (t)Interest earned after 5 years
\$5,0001.5%3655\$389.41

Note that, for accurate calculations, you can’t account for any withdrawals or fees deducted from the balance over the period you’re calculating. Adding to your balance also changes your results. (That’s why we said it’s complicated!)

### Compare savings accounts with compound interest

Name Product Interest Rate Promotional Interest Rate Minimum Balance Account Fee
2.00%
N/A
\$0
None
Enjoy zero everyday banking fees, free transactions and no minimum balance with an EQ Bank Savings Plus Account.
0.40%
2.8%
\$0
None
Earn 2.80% interest for 5 months (up to a maximum of \$1,000,000) as a new Tangerine client. Offer expires July 30, 2020.
1.40%
N/A
\$0
None
Earn 1.4% on any money you invest and withdraw your funds at any time.