Compound Interest Calculator | Ratehub.ca (2024)

Looking for an easy way to calculate compound interest? Our calculator can project earnings on everything from savings accounts, high interest savings accounts, GICs to investments.

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Natasha Macmillan, Business Unit Director - Everyday BankingNovember 16, 2023

What is compound interest and how does it work?

For those new to the concept of compound interest, let’s go over some basics:

  • Definition of compound interest

Compound interest is what happens when interest earned from a previous period is added back to your principal (the initial amount of money you invested as cash), increasing your balance and, consequently, the amount of interest you’ll earn going forward. Through the power of compound interest, your savings and investment returns can grow exponentially as interest is continuously reinvested.

The frequency of compounding can occur annually, monthly, weekly, or daily. Typically, the more regularly your interest is compounded, the faster your balance will grow.

  • What is “interest on interest”?

A popular way to describe compound interest is with the phrase “interest on interest”. When you first open a savings account, for example, your principal (initial cash deposit) is the only thing earning interest. But once that interest gets added back to your principal, it’s now part of the equation. After that, you’ll be earning interest on the interest itself as it compounds - hence, the phrase “interest on interest”.

What is the differences between compound interest and simple interest

Unlike compound interest (which is interest added onto interest), simple interest is applied to the initial deposit only and does not compound. That means any interest you make won’t increase your balance and earn higher interest.

This also means that compounding periods have no effect on simple interest, as there is no compounding frequency to increase or decrease.

Here's a breakdown of how compound interest versus simple interest impacts your returns assuming:

  • An initial deposit of $3,000
  • An interest rate of 7%

Compound interest calculator explained

A compound interest calculator helps you project the growth of your money - whether it be in a savings account, GIC or equity investment (think stocks, ETFs, or bonds) - to see whether you’ll get your desired yield. To calculate your compound interest, fill out the following fields:

  • Initial investment: the principal amount you’ll be depositing or investing
  • Additional contributions: fill this out only if you plan on making regular contributions after your initial deposit or investment. Input the amount you plan on regularly contributing and select how often you expect the contributions to take place (eg. monthly, bi-weekly, etc.)
  • Interest rate: the interest rate you expect to earn on your savings or investment
  • Compound frequency: how frequently interest will be reinvested to the principal (eg. annually, semi-annually, etc.). Typically, savings accounts, GICs, and investments are compounded annually
  • Time horizon (in years): The length of time you expect to keep your money in the account or investment

Once you’re done, you can then view your interest earned as well as the total value of your investment (principal plus interest).

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How to maximize your savings and investments with compound interest

Now that we’ve covered the basics of compound interest, here are a few tips to make sure you’re getting the most out of it:

  • Start saving and investing early

As with any saving or investing strategy, it’s wise to start as early as possible. The sooner you begin, the more powerful your compounding interest will get, and the less you’ll have to contribute out of your own pocket.

  • Make additional contributions

If you’re looking to grow your money even faster, making additional contributions to your principal on a regular (or even semi-regular) basis can make a world of difference.


What is compound frequency?

Compound frequency refers to the amount of times interest is compounded within a given year. While most investments (savings, GICs, etc.) compound annually, different compound frequencies can have substantial effects on the growth of your money. Let’s use a few examples to illustrate:

  • Annual

The most common compound frequency, deposits or investments that compound annually get their interest reinvested once a year. As an example, let’s say you’ve kept $10,000 in a savings account with 5% interest for five years. By the end of your fifth year, your interest has been compounded a total of five times:

Total

Interest

Total investment

$10,000

$500

$10,500

$10,500

$525

$11,025

$11,025

$552

$11,577

$11,577

$579

$12,156

$12,156

$608

$12,764

As you can see, even annually compounding interest can boost your principal on its own.

  • Monthly

Let’s see what would happen to that same principal deposit if the 5% interest was compounded monthly instead of yearly for five years:

Total

Interest

Total investment

$10,000

$512

$10,512

$10,512

$538

$11,050

$11,050

$566

$11,616

$11,616

$595

$12,211

$12,211

$625

$12,836

As you can see, increasing the compound frequency of your deposit or investment can boost its growth over the same amount of time.

Calculate compound interest in GICs and other investments

Because banks borrow money from their customers to lend to others, those with funds held in savings accounts are paid interest on their balance as a sort of “thank you”. Virtually all savings and GIC accounts compound interest annually.

  • High-interest savings account

While a regular savings account may pay out a modest amount of interest, a high-interest savings account is just what it sounds like: a savings account that allows you to earn a higher-than-average level of interest. For example, if you deposited $1,000 into a HISA with an interest rate of 4%, after a total of 4 years you would have $1,172.

  • GICs

GICs (or Guaranteed Investment Certificates) are the safest and most secure investment product you can buy. With fixed-rate GICs, your principal and prescribed interest are both guaranteed through government-backed insurance, avoiding the rollercoaster ride associated with traditional stocks.

When you purchase a GIC, you also select a term length. These can typically run anywhere from 30 days to five years, but your investment is meant to stay untouched for that length of time. While your interest can be compounded annually, you won’t actually get the full sum until your GIC reaches the end of its term.

FAQ

What is the formula to calculate compound interest?

The formula for compound interest is A=P(1+r/n)^nt, where:

A = ending amount P = original balance r = interest rate (as a decimal) n = number of times interest is compounded in a specific timeframe t = time frame.

How are GIC interest rates calculated?

GIC interest rates are based on the prime rate of your financial institution. The prime rate is individually set by each financial institution and can change. However, most GICs have a fixed interest rate, which means that the interest rate will not change for the term of the GIC.

More investment calculators

  • TFSA contribution room calculator
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Compound Interest Calculator | Ratehub.ca (2024)

FAQs

How do you calculate compound interest rates? ›

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 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 annual compound interest rate? ›

Compound interest is calculated by multiplying the initial principal amount by one plus the annual interest rate raised to the number of compound periods minus one. The total initial principal or amount of the loan is then subtracted from the resulting value.

How to calculate interest over time? ›

The formula for calculating simple interest is: Interest = P * R * T. P = Principal amount (the beginning balance). R = Interest rate (usually per year, expressed as a decimal). T = Number of time periods (generally one-year time periods).

What is the fastest way to calculate compound interest? ›

Compound interest is calculated by multiplying the initial loan amount, or principal, by one plus the annual interest rate raised to the number of compound periods minus one. This will leave you with the total sum of the loan, including compound interest.

What is the 8 4 3 rule of compounding? ›

The rule of 8-4-3 for mutual funds states that if you invest Rs 30,000 monthly into an SIP with a return of 12% per annum, then your portfolio will add Rs 50 lacs in the first 8 years, Rs 50 lacs in the next 4 years to become Rs 1 cr in total value and adds further Rs 50 lacs in the next 3 yrs to reach Rs 1.5 cr.

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.

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 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.

Can I live off interest on a million dollars? ›

Once you have $1 million in assets, you can look seriously at living entirely off the returns of a portfolio. After all, the S&P 500 alone averages 10% returns per year. Setting aside taxes and down-year investment portfolio management, a $1 million index fund could provide $100,000 annually.

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

Is compound interest monthly or yearly better? ›

The FW$1 factor with monthly compounding, 1.270489, is slightly greater than the factor with annual compounding, 1.262477. If we had invested $100 at an annual rate of 6% with monthly compounding we would have ended up with $127.05 four years later; with annual compounding we would have ended up with $126.25.

What is the magic of compound interest? ›

When you invest, your account earns compound interest. This means, not only will you earn money on the principal amount in your account, but you will also earn interest on the accrued interest you've already earned.

What is a compound interest for dummies? ›

Compound interest is when you earn interest on the money you've saved and on the interest you earn along the way. Here's an example to help explain compound interest. Increasing the compounding frequency, finding a higher interest rate, and adding to your principal amount are ways to help your savings grow even faster.

How much will 1 dollar be worth in 30 years? ›

Real growth rates
One time saving $1 (taxable account)Every year saving $1 (taxable account)
After # yearsNominal valueNominal value
307.0793.87
3510.04137.72
4014.31200.13
7 more rows

How to calculate compound interest with an example? ›

Solved Examples on Compound Interest
  1. C. I.= P(1+R100)T−P. Calculation: ...
  2. C. I.= P(1+R100)T−P. Given, ...
  3. ⇒ 10500=P(1+10100)2−P. ⇒ 10500 = 0.21P. ⇒ P = 50000. ⇒ Principal = Rs. ...
  4. = 50000(1+20100)3−50000. = 50000(1.2)3−50000. = 36400. ...
  5. A=P(1+(R2)100)2T.
  6. A=10000(1+2100)4=10824.32.
Dec 21, 2023

What is the formula for compound interest daily? ›

Daily compound interest is calculated using the formula: A = P (1 + r / n)nt, where P is the principal amount, r is the annual interest rate, n is the number of compounding periods per year (365 for daily), and t is the time the money is invested, in years.

What will be the compound interest on $25,000 after 3 years at 12 per annum? ›

I=Rs. 10123. 2.

How do you calculate the monthly interest rate? ›

Calculating your monthly APR rate can be done in three steps:
  1. Find your current APR and balance in your credit card statement.
  2. Divide your current APR by 12 (for the twelve months of the year) to find your monthly periodic rate.
  3. Multiply that number with the amount of your current balance.

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