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.

How Does Compound Interest Work? (4)

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!

How Does Compound Interest Work? (6)

Make an Investment Plan With a Pro

SmartVestor shows you up to five investing professionals in your area for free. No commitments, no hidden fees.

Find Your Pros

This article provides generalguidelines about investingtopics. Your situation may beunique. If you havequestions, connect with aSmartVestorPro.RamseySolutions is a paid, non-clientpromoter ofparticipating Pros.

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How Does Compound Interest Work? (7)

About the author

Ramsey

Ramsey Solutions has been committed to helping people regain control of their money, build wealth, grow their leadership skills, and enhance their lives through personal development since 1992. Millions of people have used our financial advice through 22 books (including 12 national bestsellers) published by Ramsey Press, as well as two syndicated radio shows and 10 podcasts, which have over 17 million weekly listeners. Learn More.

How Does Compound Interest Work? (2024)

FAQs

How Does Compound Interest Work? ›

Compound interest is interest that is calculated on the principal investment in an account, as well as on any returns earned over time. As brokerage accounts or savings accounts earn interest, those new amounts are added to the original principal amount.

How does the compound interest work? ›

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 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 do you solve compound interest questions easily? ›

A = P (1+ r/n)nt
  1. A = Total Amount.
  2. P = Initial Principal.
  3. r = Rate of interest on which loan or deposit is disbursed.
  4. n = number of times the interest is compounded in a year. It can be monthly, half-yearly, quarterly, or yearly.
  5. t = time in years.
Nov 7, 2023

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

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.

How do I compound my money? ›

Compounding is a powerful investing concept that involves earning returns on both your original investment and on returns you received previously. For compounding to work, you need to reinvest your returns back into your account. For example, you invest $1,000 and earn a 6% rate of return.

How do you compound interest examples? ›

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.

How to earn compound interest daily? ›

Money market accounts (MMAs)

A money market account is another type of savings account. It's like a cross between a checking and a savings account. Like a high-yield savings account, you usually get better rates than you would in other types of interest-bearing accounts. Typically, money market accounts compound daily.

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 the rule for compound interest? ›

This is interest that is calculated on both the principal and accrued interest at scheduled intervals. The formula we use to find compound interest is A = P(1 + r/n)^nt. In this formula, A stands for the total amount that accumulates. P is the original principal; that's the money we start with.

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.

What is compound interest short answer? ›

Compound interest is the interest calculated on the principal and the interest accumulated over the previous period. It is different from simple interest, where interest is not added to the principal while calculating the interest during the next period.

How do you calculate compound interest quickly? ›

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.

What will $1 be worth in 40 years? ›

Real growth rates
One time saving $1 (taxable account)
After # yearsNominal valueReal value
307.072.91
3510.043.57
4014.314.39
7 more rows

How does $160 month over 40 years which is a total of $76800 become over $1 million hint think about compounding? ›

Multiplying 480 (40 years) payments by $160 equals $76,800. So in this case, the impact of compounding has almost a 13X multiplier effect: $76,800 was contributed to create a final future value over $1,000,000.

How to compound interest monthly? ›

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.

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

25000 after 3 years at the rate of 12 per cent p.a.? Rs. 10123.20.

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.

How is compound interest calculated monthly? ›

Solution:
  1. Given,
  2. Principal(P) = Rs. 10000.
  3. Rate(R) = 5%
  4. Time(T) = 2 years.
  5. Formula for monthly compound interest = P[1+(R/12)]12×T – P.
  6. Hence, Compound Interest = 10000[1+(5/12×100)]12×2 – 10000.
  7. = 10000[ 241/240 ]24 – 10000.
  8. = 10000(1.104941) – 10000.
Jun 13, 2022

What is the rule for calculating compound interest? ›

The formula we use to find compound interest is A = P(1 + r/n)^nt. In this formula, A stands for the total amount that accumulates. P is the original principal; that's the money we start with. The r is the interest rate.

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