How Does Compound Interest Work? (2024)

Albert Einstein once said compound interest is the “eighth wonder of the world.” And when one of the smartest people who ever lived puts something in the same category as the Great Pyramid of Giza, you better pay attention!

After all, this powerful investing concept could make youmillions of dollars over your lifetime—if you use it right. But there’s also a dark side to compounding interest that could keep you stuck in a cycle of debt if you’re not careful.

But what exactly is compound interest? And how does it work?We’ve got a lot of ground to cover, so let’s jump right in.

What Is Compound Interest?

Compound interestis the interest you earn from the original amount (or principal) of an investment plus any interest you’ve already made through that investment. Basically, you’re earning interest on top of interest.

Benjamin Franklin explained it best when he said, “Money makes money. And the money that money makes, makes money.” Well said, Ben!

Compound interest is the secret sauce for building wealth, and it’s one ofthe most basic principles of investing. It’s your best friend as you continue to save and invest for the future, helping your money grow faster and faster over time.

How Does Compound Interest Work?

When you save and invest money, you expect to get a return on your money, meaning youshouldend up with more money than you originally put in. If you leave that money alone (the initial principal plus the interest), compound interest applies the interest rate to the total new amount of money earned, so it builds exponentially over time.

Here’s an example: Let’s say you invest $10,000, and—just to keep it simple—it earns 10% a year in interest. After one year, you’d have $11,000—the original money plus the $1,000 in interest you earned. The second year, you’d have slightly more—$12,100—because you’re earning interest on top of the interest you earned the year before. The investment compounds, or builds up, over time.

Now, $12,100 doesn’t seem like a big deal at first, but it becomes a huge deal later. If we leave that $10,000 alone for 40 years, and it compounds annually at 10%, it will grow to over $452,000. And remember,all you put in was $10,000!

The number ofcompounding periodswill determine how quickly your investment grows. Interest can be compounded daily, weekly or yearly.

THE POWER OF COMPOUND INTEREST

If you invest $10,000 with a 10% annual return and left it alone for 40 years . . .

Years Invested

Total Savings

1

$10,000

10

$25,937

20

$67,257

30

$174,494

40

$452,592

Total Contributions: $10,000

Total Growth: $442,592

How Does Compound Interest Affect Debt?

If you’re still trying to pay off debt, compound interest becomes your worst enemy. Why? Because when you borrow money, it works against you and increases what you owe to your bank or lender.

If you have credit card debt, brace yourself. Your credit card charges interest on the balance on your card every single month—and the average interest rate (or annual percentage rate) on a credit card account is 16.65%.1 And guess what? If you don’t pay enough to cover the month’s new interest, it’ll be added to your credit card balance. Then, the next month’s interest is calculated based on that new, higher amount—which means you end up paying more and staying in debt longer.

And the same goes for other types of loans too—including student loans, car loans and personal loans. If you don’t pay your interest charges on time, they get added to your initial loan balance. Then your interest rate gets applied onto that new, larger amount. Meanwhile, your lender is smiling all the way to the bank.

Market chaos, inflation, your future—work with a pro to navigate this stuff.

That’s why we don’t want you to mess around with credit cards or any kind of consumer debt—once you fall into their trap, it’s hard to get out.

Remember our old pal, Albert Einstein? He also said this about compound interest: “He who understands it, earns it. He who doesn't, pays it.” The choice is yours.

If you really want to build wealth, you have to get out of debt (payinginterest) before you start investing (earninginterest).

How Does Compound Interest Grow?

To help you see the power of compounding in action, here's thestory of Ben and Joey—two guys who got serious about investing for retirement. They picked good growth stock mutual funds that average an annual return of about 11%—just under the long-term growth rate of the S&P 500.

(Note: Since mutual funds don’t earn a fixed rate of interest, we’re using the average annual return to calculate the compound growth of their investments.)

Ben

  • Starts investing at age 21
  • Invests $2,400 every year
  • Stops contributing money at age 30
  • Total amount contributed:$21,600

Joey

  • Starts investing at age 30
  • Invests $2,400 every year
  • Contributes money until age 67 (a total of 37 years!)
  • Total amount contributed:$88,800

At age 67,Ben’sinvestment has grown to over$2.1 million, andJoey’shas grown to more than$1.2 million!Nine years made a difference of close to $1 million.

How Does Compound Interest Work? (5)

What Is the Formula for Compound Interest?

All right, math nerds, it’s your time to shine. Here’s how you calculate compound interest:

A = P(1+r/n)nt

  • Pis the principal (starting amount)
  • ris the interest rate
  • nis the number of times the interest compounds each year
  • tis the total number of years your money is invested
  • Ais your final amount

If you’re experiencing terrifying flashbacks to school days when you had to memorize math formulas for a test, don’t worry. We’ve got acompound interest calculator that will do the calculations for you.

How to Grow Your Investments With Compound Interest

The combination of compound interest (or growth) and time is the key to investing. But it won’t make you rich overnight. It’s all about having the right mindset. Stay focused for the long haul. Be disciplined. It will pay off in the end!

Remember: Interest you pay is a penalty. Interest you earn is a reward. Here are five key strategies to get your money working for you:

1. Get out of debt.

Compound interest is a powerful force. You want it to work for you, not against you. If you’re in debt, you might be making compounding interest payments on a credit card or a personal loan.

That’s why it feels like you’re drowning—because the amount you owe keeps increasing. Avoid debt like the plague. Check out thedebt snowballfor a proven plan to destroy your debt—for good.

2. Invest with mutual funds.

When you’re investing to save for retirement, you should put your money inmutual funds. Like we said earlier, mutual funds don’t earn a fixed interest rate, which means they don’t earn compoundinterest—but they do experience compoundgrowth, which works pretty much the same way!

That’s because the value of a mutual fund can rise and fall. Some years you’ll see a lot of growth, some years you might see just a little bit of growth. . . and some years, you might get negative returns. That’s why it’s important to choose mutual funds with a long history of strong returns!

When estimatingthe overall growth of mutual fund investments, some people use the long-term growth rate of the S&P 500—a common measuring stick for how the stock market is performing—which historically has an average annual rate of return between 10–12%.2

3. Start as soon as possible.

The key to harnessing the power of compound interest is time. The number of compounding periods is what makes your interest explode. Remember Ben and Joey? The more compounding periods your money experiences, the larger it will grow. Start investing in growth stock mutual funds (either through yourworkplace retirement plan or a Roth IRA) as soon as you can.

4. Increase your contributions each year.

If you get a raise this year, earn some money through a side hustle, or come into some money through an inheritance, increase your contributions instead of increasing your standard of living.

As long as you’re out of debt and have a fully funded emergency fund, you should always invest at least 15% of your income for retirement. And there are ways toinvest more than 15%as your earnings increase. It will be worth it when you watch your investments explode.

5. Exercise patience.

Have a long-term mindset. The power of compound interest only works if you leave your money alone for an extended amount of time. If you start to panic and pull out your investments the second the stock market dips, all you’re doing is robbing yourself of compound growth.

For the first few years, it might feel like nothing’s happening. But remember that exponential growth graph we talked about earlier? The longer you let it be, the higher it grows!

Work With an Investment Pro

It’s great to save money andbuild wealth, but what’s it all for? The whole point of understanding the power of compound interest is to be able to invest and reach yourretirement dreams.

If you haven’t started planning for your financial future, reach out to an investment professional to help you get started. Our SmartVestor program will connect you with investment pros in your area who can take a look at where you are and help you create a plan you can get started on.

Find a SmartVestor Pro in your area today!

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How Does Compound Interest Work? (2024)

FAQs

How does a compound interest work? ›

Compound interest is what happens when the interest you earn on savings begins to earn interest on itself. As interest grows, it begins accumulating more rapidly and builds at an exponential pace. The potential effect on your savings can be dramatic.

How do you work out compound interest? ›

The formula for calculating compound interest is P = C (1 + r/n)nt – where 'C' is the initial deposit, 'r' is the interest rate, 'n' is how frequently interest is paid, 't' is how many years the money is invested and 'P' is the final value of your savings.

How does compound interest work in Quizlet? ›

Compounding interest means that interest earned on the principal of an investment or savings vehicle is reinvested and will itself earn interest.

What is the easiest way to explain compound interest? ›

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 does compound interest work daily? ›

The schedule for compounding interest and paying out the interest may differ. For example, a savings account may pay interest monthly, but compound it daily. Each day, the bank will calculate your interest earnings based on the account balance, plus the interest that you've earned that it has not yet paid out.

How to explain compound interest to a child? ›

Put simply, compound interest is when you earn interest on both the money you've saved and the interest you've already earned.

How to calculate simple compound interest? ›

We use the compound interest formula A(n) = P(1 + i)^n. Here i = r/m = 0.12/12, and n = 6 as each month is one period. So A(6) = 1000(1 + 0.12/12)^6 = 1061.52. So after six months there will be $1061.52 in the account.

What is an example of a compound interest? ›

If you borrowed $1,000 and agreed to pay it back three years later at 20% annual interest, you would owe $600 interest plus the $1,000 principal you borrowed. If you had a $1,000 loan with interest that compounded 20% annually, you would owe 20% on the annual balance, which would increase every year.

How do you calculate interest? ›

To calculate interest rates, use the formula: Interest = Principal × Rate × Tenure. This equation helps determine the interest rate on investments or loans. What are the advantages of using a loan interest rate calculator? A loan interest rate calculator offers several benefits.

What is compound interest responses? ›

Compound interest is the interest imposed on a loan or deposit amount. It is the most commonly used concept in our daily existence. The compound interest for an amount depends on both Principal and interest gained over periods. This is the main difference between compound and simple interest.

Does compound interest always work? ›

Student loans: Compound interest doesn't always benefit the consumer; it works against you when you take out loans or credit cards. This includes student loans. While all federal student loans accrue simple interest, some private loan issuers charge interest that compounds annually, monthly, or even daily.

How can compound interest work in your favor? ›

Compound interest works by having a loan's interest rate apply to the principal balance and previously accrued interest. It can work in your favor when you're saving or investing, or against you if you borrow money.

How does compounding interest work? ›

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. Katie Kerpel {Copyright} Investopedia, 2019.

How to calculate the compound interest? ›

The monthly compound interest formula is given as CI = P(1 + (r/12) )12t - P. Here, P is the principal (initial amount), r is the interest rate (for example if the rate is 12% then r = 12/100=0.12), n = 12 (as there are 12 months in a year), and t is the time.

Which answer best describes compound interest? ›

Answer and Explanation:

Compound interest is the interest earned on the already earned interest amount whereas simple interest is the interest earned on the principal amount. Due to the compounding effect, the initial principal investment grows at a faster rate as compared to the growth achieved by simple interest.

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

Basic compound interest

For other compounding frequencies (such as monthly, weekly, or daily), prospective depositors should refer to the formula below. 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 will be the compound interest on $25,000 after 3 years at 12 per annum? ›

Rate of interest = 12% p.a. ∴ The compound interest is Rs. 10123.20.

How to do compound interest monthly? ›

What Is the Monthly Compound Interest Formula in Math? The monthly compound interest formula is used to find the compound interest per month. The formula of monthly compound interest is: CI = P(1 + (r/12) )12t - P where, P is the principal amount, r is the interest rate in decimal form, and t is the time.

Can you lose on compound interest? ›

If the investment does well over time, you earn more yearly with compound interest. However, you also have the risk of losing money.

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