Personal Loans
Simple vs. compound interest: what’s the difference?
Updated Nov 20, 2024
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Key takeaways:
Knowing how interest rates work could help you choose a less costly loan
Compound interest is interest on interest
Simple interest is best for loans
A dollar might not change your life. But a dollar a day might. And if that dollar grows bigger every day, it could make or break your finances.
Compound interest makes the numbers grow more quickly than simple interest. If those numbers represent your savings, great. Compounding is what you want. If we’re talking about debt, not so great. Compound interest will cost you more.
This stuff can make our brains hurt, so we asked finance expert and published author Mitchell Weiss to help us break it down. Mitchell helps non-finance people understand finance.
Simple interest vs. compound interest
Interest is the cost of using someone else’s money. If you use your credit card issuer’s money, you pay interest. If you put money in the bank, they pay you interest.
Simple interest is calculated on the amount borrowed (the principal balance)
Compound interest is calculated on both the principal balance and interest that has previously been added
We’ll show you some examples using a $10,000 balance and 12% interest. Typical savings accounts don’t earn this much, and typical credit cards cost a lot more. But comparing apples to apples will make it easier to recognize how the types of interest affect your finances.
Simple interest
Simple interest is based on the amount borrowed, the interest rate, and time. Simple interest is good for borrowers. The calculation is:
Principal x Interest rate/12 = simple interest paid per month.
Simple interest borrowing example: Personal loan
Let’s say you take out a personal loan for $10,000 at 12% interest. Your interest charge is 1% per month (1/12th of 12%). At the end of the first month, that’s $100, so now you owe $10,100.
If you make a $300.00 payment, your new balance is $9800.00.
In month two, you’ll only owe $98 in interest. As your balance goes down, so do your interest charges.
Simple interest savings example: Certificate of Deposit
Certificates of deposit, or CDs, are an unusual type of savings account in that they pay simple interest. CDs pay a specific amount in interest on a set date, and the money can’t be withdrawn until that date.
Invest $10,000 in a one-year CD that pays 12% interest after one year, and you’d earn $1,200 in interest.
$10,000 x 0.12 = $1,200
Your balance would be $11,200.
This example is for informational purposes only. Interest rate and payments are for illustrative purposes only. Individual results vary.
Compound interest
Compound interest is good when you’re saving money. First, you earn interest, which increases your balance. Then you earn interest on the bigger balance. You’re earning interest on interest.
It’s not so great for debts because you’ll pay more interest over time.
Compound interest borrowing example: credit card debt
The interest on credit cards usually compounds daily. If you owe $10,000 and the APR is 12%, you’ll owe $102.42 in interest at the end of the first month.
Compared to our simple interest example above, it’ll cost you an additional $2.42 for the same loan with compound interest. That doesn’t seem like much, but if you think about it in terms of all of your debts, at all of their interest rates, over a span of years…the numbers snowball.
Compound interest savings example: savings account
Here’s an example of how compound interest works when you save.
Let’s say you invest $10,000 and you earn 12% interest that’s compounded monthly (that means the interest is calculated once a month). At the end of one year, you'd have $11,268.25.
Compared to the $11,200 that you earned in the simple interest savings example above, compounding has put you more than $68 ahead.
The beauty of compounding is that you get to earn interest on the higher balance every time interest is added. This is why financial experts always recommend that you start saving early and leave your money alone so it can grow.
This example is for informational purposes only. Interest rate and payments are for illustrative purposes only. Individual results vary.
Fun fact: the Rule of 72
You can estimate when your money will double by using the Rule of 72. You just need to know the interest rate. (This rule only works for annual compounding.)
The formula is this:
72 / interest rate = years to double your money
For example, if you expect to earn 5%, your money will double in value about every 14 1/2 years.
Written by
Aaron Crowe is an Achieve contributor. He is a freelance journalist who specializes in writing about personal finances. He has worked as a reporter and editor at newspapers and websites for his entire career.
Reviewed by
Keith is an editor and fact-checker for Achieve. He makes sure the content is accessible by ensuring that each piece has impeccable grammar, an approachable tone, and accurate details.
Frequently asked questions
What is the difference between the interest rate and the APR?
The interest rate is the cost of borrowing money. APR, or annual percentage rate, includes the interest rate and any fees or costs of a loan. An APR is higher than an interest rate if fees are involved.
How do lenders determine interest rates for loans?
A borrower’s credit score is the primary factor lenders consider when they decide what interest rate they will offer you. Generally speaking, people with higher credit scores can qualify for lower interest rates. Other factors that could affect your rate include:
Loan term (shorter terms sometimes qualify for lower rates)
Loan amount (smaller loans sometimes qualify for lower rates)
Economic conditions (when market rates change, lenders change the rates they charge customers)
What’s better, compound, or simple interest?
Compound interest is best for investors and savers because you’ll earn interest on your interest. For borrowers, compound interest can lead to paying more.
Simple interest is best for loans because you only pay interest on the principal amount you borrowed.
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