What Is Compound Interest? - NerdWallet Canada (2024)

Compound interest is the holy grail of investing and, depending on the circ*mstances, can be much more lucrative than traditional simple interest. Here’s what you need to know.

What is compound interest and how does it work?

Compound interest allows you to earn interest on your original savings and the interest income accumulated on those savings. This exponential growth allows you to earn more money faster than you would with just simple interest.

Interest is compounded at a set frequency that varies depending on the product. The frequency could be daily, weekly, quarterly or annually. The more often your money is compounded, the faster it will grow.

Unlike fluctuating stock market returns, compound interest projects returns, making it easier to know how long you need to save. This is especially handy for specific savings goals, like a wedding, a down payment for a home, or retirement.

However, as lucrative as compound interest can be for things like savings accounts and interest-bearing investments, it can also cost you more when you borrow money. You need to be cautious of debt with compounding interest because the amount you owe will snowball over time.

» MORE: How to save money

How to calculate compound interest

The easiest way to calculate compound interest is to use a compound interest calculator. You can find these for free online with a quick Google search. But, if you don’t have that handy you can also go the old fashioned route and use the following formula:

total principal and interest = P(1+i)^n
P= principal amount (your original savings before earning any interest)
i= interest rate for the compounding period
n= number of compounding periods

To complete the equation, you will want to

  1. Solve the parenthesis (1 + interest rate)
  2. Tackle the exponent, which is the value in the parenthesis to the power of the number of compounding periods.
  3. Multiply by the original principal amount to get the total principal plus earned interest.

If you want to know how much of that amount is just interest, subtract the original principal.

Here’s an example:

Let’s say you want to know how much compound interest $10,000 can earn in a year. If you invest that $10,000 into a high-interest savings account at an annual interest rate of 2% that is compounded monthly, you will get the following:

P= $10,000
i= 0.167% ( 2% annual interest, divided by 12 months)
n= 12

So:

$10,000(1+0.001667)^12
=$10,000(1.001667)^12
=$10,000 x 1.0202
=$10,202 total principal and interest

Of that amount, $202 is compound interest earned. That’s quite a lot of money earned for, essentially, not doing much at all.

Types of products that use compound interest

As mentioned above, there are all kinds of products that use compound interest. Some work in your favour and others don’t.

These are some of the most common financial products that have compound interest.

  • Savings accounts
  • Guaranteed investment certificates (GICs)
  • Loans
  • Mortgages
  • Credit cards

Simple interest vs. compound interest

The main difference between simple interest vs. compound interest is what earns the interest.

With simple interest, earnings are calculated on the principal only. So if you have a $10,000 deposit earning simple interest, you will earn interest only on that $10,000, no matter how long you have it invested for or how much interest accumulates.

In our compound interest example above, on the other hand, you’d earn interest on the entire $10,202 in the next month, not just the original $10,000 deposit.

Compound interest is great for saving. So try to find savings accounts or investments that pay compound interest. But, compound interest can quickly work against you when it comes to loans and debts, so it’s better to have simple interest in these cases.

» MORE: How does an annual percentage rate (APR) compare to an annual percentage yield (APY)

About the Author

Hannah Logan

Hannah Logan is a freelance writer and blogger who specializes in personal finance and travel. You can follow her personal travel blog EatSleepBreatheTravel.com or find her on Instagram @hannahlogan21.

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What Is Compound Interest? - NerdWallet Canada (2024)

FAQs

What is compound interest in Canada? ›

Compound interest is interest calculated on both the principal amount of money, like a loan or deposit, and on the interest payable or earned on that principal amount. So, in very basic terms, compound interest is interest calculated on principal and interest.

What is the compound interest formula for Nerdwallet? ›

What is the compound interest formula, with an example? Use the formula A=P(1+r/n)^nt. For example, say you deposit $5,000 in a savings account that earns a 3% annual interest rate, and compounds monthly. You'd calculate A = $5,000(1 + 0.03/12)^(12 x 1), and your ending balance would be $5,152.

How much interest will I earn on $500,000 in a year? ›

Most competitive money market accounts offer APYs between 1.6% and 1.8%. A 1.8% APY would mean you earn $9,074.62 in the first year after depositing $500,000.

How much is $1000 worth at the end of 2 years if the interest rate of 6% is compounded daily? ›

Hence, if a two-year savings account containing $1,000 pays a 6% interest rate compounded daily, it will grow to $1,127.49 at the end of two years.

What is the best compound interest account in Canada? ›

More High Interest Savings Rates
Bank/Credit UnionAccountRate
Ideal SavingsIdeal Savings3.60%
MAXA FinancialMAXA Savings3.55%
Motive FinancialMotive Savvy Savings4.10%
MotusbankHigh Interest Savings2.50%
6 more rows

How much is $10,000 at 10% interest for 10 years? ›

If you invest $10,000 today at 10% interest, how much will you have in 10 years? Summary: The future value of the investment of $10000 after 10 years at 10% will be $ 25940.

Do any banks offer compound interest? ›

Many banks and credit unions offer compound interest accounts in the form of a savings account, money market account or certificate of deposit (CD) account. Check with your local financial institution to see what compounding accounts they may offer.

How much do you need to start a compound interest account? ›

You need to invest some money if you want to earn compound interest, and the minimum amount required to invest varies by account. For example, some CDs require a starting deposit up to $1,000 or more. You may also need a minimum amount to invest in mutual funds or individual stocks with certain investing platforms.

How to start earning compound interest? ›

To take advantage of the magic of compound interest, here are some of the best investments:
  1. Certificates of deposit (CDs)
  2. High-yield savings accounts.
  3. Bonds and bond funds.
  4. Money market accounts.
  5. Dividend stocks.
  6. Real estate investment trusts (REITs)
Apr 12, 2024

How much money do I need to invest to make $4000 a month? ›

Making $4,000 a month based on your investments alone is not a small feat. For example, if you have an investment or combination of investments with a 9.5% yield, you would have to invest $500,000 or more potentially. This is a high amount, but could almost guarantee you a $4,000 monthly dividend income.

How many years would it take money to grow from $5000 to $10000 if it could earn 6% interest? ›

Final answer:

It would take approximately 11.90 years for the money to grow from $5,000 to $10,000 with a 6% interest rate.

How much money do I need to invest to make $3,000 a month? ›

Imagine you wish to amass $3000 monthly from your investments, amounting to $36,000 annually. If you park your funds in a savings account offering a 2% annual interest rate, you'd need to inject roughly $1.8 million into the account.

How long will it take $4000 to grow to $9000 if it is invested at 7% compounded monthly? ›

Substituting the given values, we have: 9000 = 4000(1 + 0.06/4)^(4t). Solving for t gives us t ≈ 6.81 years. Therefore, it will take approximately 6.76 years to grow from $4,000 to $9,000 at a 7% interest rate compounded monthly, and approximately 6.81 years at a 6% interest rate compounded quarterly.

How long will it take for a $2000 investment to double in value? ›

The calculated value of the number of years required for the investment of $2,000 to become double in value is 9 years.

What will $1 000 be worth in 20 years? ›

As you will see, the future value of $1,000 over 20 years can range from $1,485.95 to $190,049.64.
Discount RatePresent ValueFuture Value
10%$1,000$6,727.50
11%$1,000$8,062.31
12%$1,000$9,646.29
13%$1,000$11,523.09
25 more rows

How often is interest compounded in Canada? ›

With the exception of variable rate mortgages, all mortgages in Canada are compounded twice per year, or semi-annually, by law. If the mortgage is to be compounded semi-annually, this means that the mortgage holder can only add interest to the principal balance twice per year.

What is compound interest in USA? ›

Compound interest builds on the principal balance plus accrued interest. If you have $1,000 at a 2% interest rate compounded annually, you'll earn $20 interest in year 1, and $20.40 interest in year 2 since you have $1,020 in your account after the first year.

How does interest work in Canada? ›

Interest rates rise and fall over time. If you're borrowing money, interest is the amount you pay to your lender to use the money. The lender uses the interest rate to calculate how much you need to pay to borrow money. Financial institutions set the interest rate for your loan.

How is interest calculated in Canada? ›

Monthly Interest = (interest rate/12) x unpaid principal balance. Numeric example: if you have a mortgage loan with an outstanding principal balance of $300,000, an interest rate of 3% per year, and a term of 25 years, your monthly mortgage interest would be: Monthly Interest = (0.03/12) x $300,000 = $750.

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