The extraordinary power of compound interest (2024)

If you are young, you may not think you need to invest or open a retirement account. You probably think it is easier to worry about it five years from now — or ten. You're wrong. Time is on your side now, especially when it comes to compound interest.

No matter what your age,now is the time to begin saving for retirement. In The Automatic Millionaire, David Bach writes, “The single biggest investment mistake you can make [is] not using your [retirement] plan and not maxing it out.”

Saving is the Key to Wealth

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The only way to attain the wealth you desire is to spend less than you earn and to save the difference. The rich are not rich because they earn a lot of money; the rich are rich because they saved a lot of money.

You may be skeptical. I was once skeptical too. But many books I have read on the subject of wealth-building have convinced me — books like Stanley and Danko's The Millionaire Next Door make it abundantly clear that it is not a high income that leads to wealth — though, obviously, a high income does not hurt — but saving.

Those who become wealthy do so by spending less than they earn. There is no other source of saving, and, by extension, of building wealth.

If saving is the key to wealth, then time is the hand that turns the key to unlock the door. There is no reliable method to quick riches. There are, however, proven methods to get rich slowly. If you are patient, and if you are disciplined, you can produce a golden nest egg that will hatch later in life. It might appear that the pittance you save now could not possibly make a difference, but that is because you haven't considered the extraordinary power of compound interest.

The Power of Compound Interest

The best way to ensure your future financial success is to start saving today, even if all you have seems like a paltry sum. “The amount of capital you start with is not nearly as important as getting started early,” writes Burton Malkiel in The Random Walk Guide to Investing. “Procrastination is the natural assassin of opportunity. Every year you put off investing makes your ultimate retirement goals more difficult to achieve.”

The miracle of compound interest is the secret to getting rich slowly. Even modest returns can generate real wealth given enough time and dedication … mainly time.

On its surface, compounding is innocuous, even boring. “So what if my money earns less than 3 percent in a savings account?” you may ask. “What does it matter if it averages 8 percent annual growth in a mutual fund? Why is it important to start investing now?”

In the short-term, it doesn't make a huge difference — but don't let that fool you. On the slow, sure path to wealth, we need to keep focused on long-term goals. Short-term results are not as important as what will happen over the course of 20 or 30 years.

Related >> Find the best high-yield savings account for you.

Growth of a Single $5,000 Contribution

For example, if 20-year-old Britney makes a one-time $5,000 contribution to her Roth IRA and earns an average 8 percent annual return, and if she never touches the money, that $5,000 will grow to just under $180,000 by the time she retires at age 65, as you can see from this chart:

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You can see how the money earned dwarfs the initial investment more and more as time goes by.

If she waits until she is, say, 40 to make her single investment, that $5,000 would only grow to less than $40,000. (On the chart, the red dotted line shows you the total value after 25 years is still less than $40,000.) Waiting 20 years will cost her more than $130,000 in “free” money. Time is the primary ingredient to the magic that is compounding.

Growth of Annual $5,000 Contributions with Compound Interest

Compounding can be made even more powerful through regular investments. It is great that a single $5,000 IRA contribution can grow to more than $170,000 in 45 years, but it is even more exciting to see what can happen when Britney makes saving a habit. If she were to contribute $5,000 annually to her Roth IRA for 45 years, and if she left the money to earn an average 8 percent return, her retirement savings would grow to more than $2 million, as you can see from this chart:

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A golden nest egg indeed! She will have more than eight times the amount she contributed. Again, the dark green portion of the chart dwarfs the light green, which is the money she put in.

This is the extraordinary power of compound interest.

Related >> See a guide for Roth IRA rules and requirements.

The cost of waiting one year

It's human nature to procrastinate. “I can start saving next year,” you tell yourself. “I don't have time to open a Roth IRA — I'll do it later.” But the costs of delaying your investment are enormous. Even one year makes a difference. Every year that Britney in the example above waits, she loses one year at the end of the chart. In the first example representing a single investment, waiting one year will cost her almost $14,000 (the column highlighted in red).

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Like many people, she may be tempted to think she is only losing the first year's return, i.e., around $400, but that isn't the case. She is actually losing the last year's return ($14,000), not the first. That is a steep price to pay for a single year of procrastination.

The difference is even more dramatic when you look at what Britney loses by waiting a year even though she contributes regularly to her savings. If Britney makes annual contributions of $5,000 to her Roth IRA as shown in the second example, waiting just one year will cost her more than $150,000! That is probably more than her annual income.

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There is another way to look at the cost of procrastination. If she still wanted to have a $2 million nest egg at age 65 but she waits five years to get started, her annual contributions would have to increase to nearly $9,500 — that's almost double! And if she were to wait until age 40, she'd have to contribute nearly $55,000 a year!

How to Get Rich Slowly

You can make compounding work for you by doing a few simple things:

1. Start early. The younger you start, the more time compounding has to work in your favor and the wealthier you can become. The next best thing to starting early is starting now.

2. Make regular investments. Don't be haphazard. Remain disciplined, and make saving for retirement a priority. Do whatever it takes to maximize your contributions.

3. Be patient. Do not touch the money. Compounding only works if you allow your investment to grow. The results will seem slow at first, but continue on. Persevere! Most of the magic of compounding returns comes at the very end. Compounding creates a snowball of money. At first, your returns seem small; but if you are patient, they will become enormous.

The GRS Introduction to Roth IRAs Series

Understanding how important it is to get started saving for retirement, check out the rest of our Roth IRA series to learn about how to start your Roth IRA, which investments are best, and other general questions about these great accounts.

Part 1: The extraordinary power of compound interest
Part 2: What is a Roth IRA and why should you care?
Part 3: How to open a Roth IRA (and where to do it)
Part 4: Which investments are best for a Roth IRA?
Part 5: Questions and answers about Roth IRAs

The extraordinary power of compound interest (2024)

FAQs

What did Albert Einstein have to say about compound interest? ›

The underlying wisdom of the adage derives from the power of compounding, what Albert Einstein called the eighth wonder of the world. “He who understands it, earns it. He who doesn't, pays it,” he is said to have said.

How do you explain the power of compound interest? ›

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.

Which answer best describes compound interest? ›

In simple terms, compound interest can be defined as interest you earn on interest. With a savings account that earns compound interest, you earn interest on the principal (the initial amount deposited) plus on the interest that accumulates over time.

How often does S&P 500 compound? ›

The actual rate of return is largely dependent on the types of investments you select. The Standard & Poor's 500® (S&P 500®) for the 10 years ending December 31st 2023, had an annual compounded rate of return of 15.2%, including reinvestment of dividends.

Did Albert Einstein say compound interest is 8th wonder? ›

Albert Einstein thought so. Seeing your money grow thanks to compound interest can be just as amazing as seeing the Great Wall of China or the Colosseum. He said, "Compound interest is the eighth wonder of the world. He who understands it, earns it; he who doesn't, pays it."

What did Einstein say was the greatest invention? ›

There is an often-told story that when Albert Einstein was once asked what mankind's greatest invention was, he replied: "Compound interest." There's even one claim that Einstein called compound interest the "8th Wonder of the World."

How much will 10,000 grow in 10 years? ›

We started with $10,000 and ended up with $4,918 in interest after 10 years in an account with a 4% annual yield. But by depositing an additional $100 each month into your savings account, you'd end up with $29,648 after 10 years, when compounded daily.

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

For example, I may invest $1000 into a mutual fund and receive an 8% return, during the course of a year, leaving me with an account balance of $1080. Now, with compound interest, if I decide to invest the $1080 into the mutual fund with an 8% return, I will have an account balance of $1,166.40 after the second year.

What is the power of compound interest in life? ›

It allows money to grow exponentially over time and can help savers and investors to turn small capital sums into large cash piles over many years. Referring to it as one of the greatest “miracles” known to man, Albert Einstein described compound interest as “the most powerful force in the universe”.

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.

What is the magic of compound interest? ›

Compound interest is when the interest you earn on a balance in a savings or investing account is reinvested, earning you more interest. As a wise man once said, “Money makes money. And the money that money makes, makes money.” Compound interest accelerates the growth of your savings and investments over time.

How to calculate the power of compounding? ›

Once you have these figures, you can quickly understand how much you will earn from an investment that uses the power of compounding interest.
  1. The compound interest formula is:A = P (1+r/n)nt
  2. The values are:
  3. A = Future value of the investment.
  4. P = Principal amount invested.
  5. r = The rate of interest (decimals)

How much would $1000 invested in the S&P 500 in 1980 be worth today? ›

In 1980, had you invested a mere $1,000 in what went on to become the top-performing stock of S&P 500, then you would be sitting on a cool $1.2 million today.

How much was $10,000 invested in the S&P 500 in 2000? ›

Think About This: $10,000 invested in the S&P 500 at the beginning of 2000 would have grown to $32,527 over 20 years — an average return of 6.07% per year.

How much will S&P 500 grow in 10 years? ›

Returns in the S&P 500 over the coming decade are more likely to be in the 3%-6% range, as multiples and margins are unlikely to expand, leaving sales growth, buybacks, and dividends as the main drivers of appreciation.

Who said the most powerful force in the world is compound interest? ›

My favorite quote is, “The most powerful force in the world is compound interest.” – Albert Einstein.

Who discovered compound interest? ›

It is generally agreed that the origin of compound interest can be traced back to the Old Babylonian period (ca. 2000–1600 BCE), because we know that the Babylonians called compound interest şibāt şibtim “interest on interest” in Akkadian, and even solved mathematical problems on it.

Which mathematician invented compound interest? ›

Compound interest

, where y is in dollars, t in years, and 0.2 = 20%. Jacob Bernoulli discovered this constant in 1683, while studying a question about compound interest: An account starts with $1.00 and pays 100 percent interest per year.

Why did Einstein have a special interest? ›

Answer: Einstein seeing in Mileva an ally because both of them were intelligent, liberal, and clever.

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