These Two Examples Illustrate the Magic of Compound Interest  (2024)

We bet these two compound interest examples will make you abeliever (and possibly inspire you to open a retirement account!).

Compound interest is one of the most useful — and relatively low-effort — tools out there to help people take control of their lives and reach their goals. But what is compound interest and why is it worth investing in? Here’s what it is and compound interest examples to show you the upsides of it.

What Is Compound Interest?

The gist: You save a little money at a time and automatically invest it in low-risk funds that follow the market. Historically, the market goes up, which means that over the years, your money should grow exponentially.

“Compounding happens when earnings on your savings are reinvested to generate their own earnings,” says Kate Ryan, a director of investment solutions at TIAA. “Those, in turn, are reinvested to generate their own earnings and so on. Over time, compounding can add a lot of value because you have more earnings and those earnings are ‘earning earnings.’”

The strategy is simple: Sock away the money, leave it be, trust in the market’s historical upward trend, and let compound interest do its work.

“The results are incredible,” says Galit Ben-Joseph, a financial advisor for J.P. Morgan Securities. “This is how wealth is built.”

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Why You Need Compound Interest Right Now

The way compound interest works is similar to how a successful person worked hard to be good at what they do, says Eugenie George, author of Our Money Stories: A Six Week No B.S. Financial Wellness Plan. For instance, celebrity chefs don’t typically turn into industry heavyweights overnight. Before being in the public eye, they work for years to make a name for themselves.

“This is kind of like compounding,” says George. “The end goal is [that] you won’t have to stress about it.”

Putting in the effort to start now can set you up for big success later on. If you’ve been waiting to save until you check other financial to-dos off of your list — like debt or student loans — take a close look at your budget. Try to find a few dollars here and there to save. Every little bit helps in the long run. For one compound interest example, if a 25-year-old started investing $200 per month and we’re assuming a 6% return, by the time they turned 65, they’d have a nest egg worth $393,700, according to Ben-Joseph. But if they’d waited until 35 to start saving $200 a month, even with the same rate of return, they’d end up with almost half that — $201,100 — by age 65.

Now is as good a time as any to sit down with your budget and figure out how to start (or boost) your retirement savings. Investor.gov has a calculator that allows you to test out different saving scenarios that work for your financial situation.

Another perk of starting sooner? It’s smart to invest during a market correction since “it makes the compounding more effective,” says Ryan. “They’re able to buy more shares when they’re [priced] lower. So when the price goes up, it compounds even more.”

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Scenario #1

One compound interest example from Ryan: Let’s say Sarah, age 20, invested $1,000 today. If she didn’t touch it until she retired at age 70, her money could increase by 32 times. This means she could end up with around $32,000. (This assumes a 7.2 percent growth rate, which Ryan says is reasonable).

But what if Sarah waited another 10 years to invest that $1,000 and leave it be until retirement? In that case, she’d only end up with half as much as above — just $16,000. And if she waited until 40? That’d cut the amount she’d be left with in half again: around $8,000.

Consider that if Sarah were to invest that $1,000 at age 20 and contribute $83 (or $1,000 a year) a month until retirement, she’d have $465,000 by the time she turned 70.

If she did the same but waited to start until 30, she’d end up with about $225,000. If it were age 40, she’d have about $105,000.

Scenario #2

In another compound interest example from Ryan, let’s look at two different people saving and investing for retirement.

Let’s say 25-year-old Carolina and 45-year-old Andy each save $30,000 over a period of 20 years. (For the first 10 years, they each save $1,000 annually. For the second 10 years, they each save $2,000 annually.) We’ll assume a 6 percent annual return and that they made their contributions at year-end.

In this scenario, Carolina starts saving at age 25 and stops at 44. Andy starts at age 45 and stops at 64. Even though they saved the same amount and earned the same rate of return, their earnings are different. When Carolina turns 65, she’ll have $110,000 more in her nest egg than Andy did when he turned 65. In total, Carolina ends up with $160,300, while Andy ends up with $49,970.

“Her money enjoys up to 40 years of growth from the power of compounding, compared to up to 20 years for Andy’s money,” says Ryan. “Since Andy starts saving later, he would need to save more than three times as much money as Carolina to end up with the same size nest egg at age 65.”

If Carolina didn’t stop saving at age 44 and kept on going until 65, she’d end up with about $243,000.

“With compound interest, you want to give yourself as much time as possible,” says Ryan. “The sooner you start saving and investing for retirement and any other goal, the more time you’ll have to take advantage of the power of compounding. It’s too good to put off — it’s free money in a way.”

MORE ON HERMONEY:

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  • How Does A High Yield Savings Account Work?

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These Two Examples Illustrate the Magic of Compound Interest  (2024)

FAQs

What is the magic of compound interest? ›

In other words, compound interest involves earning, or owing, interest on your interest. The power of compounding helps a sum of money grow faster than if just simple interest were calculated on the principal alone. And the greater the number of compounding periods, the greater the compound interest growth will be.

What are some examples of compound interest? ›

Let's say you have $1,000 in a savings account that earns 5% in annual interest. In year one, you'd earn $50, giving you a new balance of $1,050. In year two, you would earn 5% on the larger balance of $1,050, which is $52.50—giving you a new balance of $1,102.50 at the end of year two.

What is an example of the miracle of compound interest? ›

For one compound interest example, if a 25-year-old started investing $200 per month and we're assuming a 6% return, by the time they turned 65, they'd have a nest egg worth $393,700, according to Ben-Joseph.

What are the 2 key components of compound interest? ›

The two ingredients to compound interest are time and consistency. Let's dive into each one. Time is your greatest asset when it comes to compounding interest, and the earlier you start, the more time your money has to grow.

What is an example of the magic of compounding? ›

If a parent starts saving Rs 25 daily for their child from the day he or she is born for the next 25 years at a rate of 10 per cent compounded annually, they would be able to gift the child an amount of Rs 9.25 lakh on his 25th birthday. Apart from the money the amount will teach the child the advantage of savings.

What is compounding magic? ›

Compounding Magic calculates how your investments will grow over a time horizon. This lets users understand the potential returns from an investment, whether a one-time investment or a SIP.

What are two examples of compounding? ›

Closed compounds are compounds that consist of two words combined together without a space in between. Some examples of closed compounds include blackboard, sweatshirt, backstroke, undercut, horseshoe, desktop, and smartphone.

What two things make compound interest so powerful? ›

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 magic number for compound interest? ›

For continuous compounding interest, you'll get more accurate results by using 69.3 instead of 72. The Rule of 72 is an estimate, and 69.3 is harder for mental math than 72, which divides easily by 2, 3, 4, 6, 8, 9 and 12. If you have a calculator, however, use 69.3 for slightly more accurate results.

Are there 2 formulas for compound interest? ›

To find the compound interest: if the amount is compounded annually/half-yearly/quarterly/monthly/weekly/daily, then substitute all these values into the formula P(1+r/n)nt - P. if the amount is compounded continuously, then substitute these values in the formula Pert - P.

What are the two biggest factors in compound interest? ›

The two biggest factors in compound interest and building wealth are time and the initial amount of the investment.

What is the secret of compound interest? ›

Compound interest is the secret that makes your money work harder for you. Unlike simple interest, which accrues solely based on your initial deposit or principal amount, compound interest allows your investments to grow exponentially by earning interest on both the principal and any accumulated interest.

Why is compound interest so powerful? ›

It makes a sum of money grow at a faster rate than simple interest because you will earn returns on the money you invest, as well as on returns at the end of every compounding period. This means that you don't have to put away as much money to reach your goals!

What is the wonder of compound interest? ›

It was the renowned scientist and theoretical physicist Albert Einstein who said, “Compound interest is the eighth wonder of the world. He who understands it, earns it … he who doesn't … pays it.” These words are reflected by investor Warren Buffett, who is most associated with the basic wealth building strategy.

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