2 Real-World Examples on the Power of Compound Interest (2024)

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I’m sure you’ve already heard about the power of compound interest and how important it is to not just invest in your retirement, but to do so as early as possible.

When I was in high school, the screen saver on the family computer was a banner that read “Save 10% of your income from the age of 18 and retire at 45!”

I have to give my dad credit for trying to encourage me and my sister in any way possible to save money as soon as we started to earn it.

But when you’re young, it’s hard to see that far ahead. And unless you really see the numbers in a real-world example, it’s hard to actually believe it.

Sometimes, all it takes for that final nudge to start saving more is to see a relatable example. Or two.

The thing is, the power of compound interest is unleashed only with time. The earlier you start saving, the better. Either the shorter the time you have spend saving money, or, the less money you have to save over time.

If you start late, you have to save a lot more money in order to make up for the lack of time.In this post I’ll go over two examples that clearly demonstrate this.

Two real-world examples on the power of compound interest

Example #1: Everyone saves the same amount but they start at different times.

Example #2: Everyone ends at the same amount but has to adjust the amount saved to make it there.

Example #1: The power of starting early

In this first example we look at what would happen if three different people saved the exact same amount of money, but started saving at different times in their life.

They all start saving $1,000/month, and continue this over the course of 10 years. Each of them wants to retire by the age of 55.

  1. Carly starts saving at the age of 20 and stops by age 30.
  2. Tom gets a later start, saving at the age of 30 and stopping at age 40.
  3. Sarah starts even later, waiting to save until the age of 40 and stopping at the age of 50.

Since they all save the same $1,000/month over 10 years, they contribute $120,000. However, by retirement at 55 years old, they have vastly different portfolio values.

Assumptions

  • Annual interest rate of 7%, compounded monthly
  • Portfolio value of $0 at the start of investing

Results

By the age of 55:

  • Carly has acquired just under $1 million for retirement.
  • Tom has just under $500,000 saved.
  • Sarah unfortunately only has just under $250,000 for retirement.
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Thanks to the power of compound interest, Carly started early and was therefore able to sit back and watch her savings continue to build and rapidly grow over time. Even when she wasn’t actively saving.

Note: All calculations obtained by using the compound interest calculator from The Calculator Site.

Take away

Assuming Carly can live frugally in retirement, she can actually leave her job at the age of 55. Using the 4% rule, she can withdraw $40,000 a year for living expenses. Tom, however, will only have half of this, $20,000, and Sarah half again as much as Tom. No matter how frugal Sarah is, it’s unlikely she can live off of $10,000 a year.

If we stretch this out to the age of 65, the numbers are even more shocking.

  • Carly would have $2 million for retirement, or $80,000/year of retirement income. In just 10 years she was able to double her portfolio value. Again, without any contributions after the age of 30.
  • Tom would have just under $1 million, or enough for a frugal retirement.
  • Sarah still wouldn’t have enough saved, only $500,000.

Moral of the story: It pays to start saving as early as possible.

Example #2: How much do you need to save to reach your retirement goal?

Let’s now look at the scenario where you want to build a retirement savings of $1.5 million. How much do you need to save in order to reach this retirement goal?

Well, it depends on when you start saving.

Let’s again look at three different examples.

  1. Carly starts saving $500/month from the age of 20
  2. Tom starts saving $1000/month from the age of 30
  3. Sarah starts saving $2000/month from the age of 40

Assumptions

  • Annual interest rate of 7%, compounded monthly
  • Annual 5% increase in contributions
  • Portfolio value of $0 at the start of investing

Note: Why a 5% increase in annual contributions? This may seem unobtainable but when you factor in inflation, cost-of-living raises, employer contributions, education and experience with saving, as well as fending off lifestyle increases over time, this is quite do-able.

Results

  • Carly is able to retire at the age of 54. The total amount deposited over 34 years is $510,000. Her portfolio value upon retiring is $1.5 million. If she actually waits to retire at the age of 60, she will have just over $2.5 million saved.
  • Tom is able to retire at the age of 57. The total amount deposited over 27 years is $650,000. His portfolio value upon retiring is just over $1.5 million. If Tom holds off for just 3 more years, he will have over $2.1 million in retirement savings.
  • Sarah is able to retire at the age of 60. The total amount deposited over 20 years is $790,000. Her portfolio value upon retiring is $1.55 million.
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Take away

With the power of compound interest, the earlier you start saving, the less you have to save over time. Start early and then let compounding interest do the majority of the work for you.

If you start late, the more you will have to save in order to make up for the lack of time and compound interest effects.

Related reading from Stepping Stones to FI

  • This is What Your Retirement Savings Needs to be at Every Age
  • How To Calculate Your Savings Rate – And Why You Need To
  • Money Crunching Mondays: Can You Invest and Save with Just $50 a Month?
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2 Real-World Examples on the Power of Compound Interest (2024)

FAQs

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 are an example of compound interest in real life situations? ›

Money saved in the bank is an example of compound interest: You earn interest periodically, typically each month, including the interest earned in the past. As a result, a single deposit will earn increasing interest payments over time. An example of simple interest is the earnings from a bond.

What is an example of the power of compounding in real life? ›

1,00,000 in a fixed deposit with an annual interest rate of 7% for 5 years, the total amount you would receive at maturity would be Rs. 1,40,260. However, if the interest is compounded annually, the total amount you would receive at maturity would be Rs. 1,40,710, which is an additional Rs.

What is the power of compound interest in life? ›

Because it grows your money much faster than simple interest, compound interest is a central factor in increasing wealth. It also mitigates a rising cost of living caused by inflation.

Is compound interest used in real life? ›

Compound interest does not only apply to loans and investments. Concepts such as appreciation, depreciation, inflation, population growth and substance decay are examples of practical applications of compound interest.

What is an example of a compound interest for students? ›

The Magic of Compound Interest

If you put $10,000 in an account earning only 5% interest and left it alone, at the end of one year, you'd have over $500 of interest earnings. Leave it there another year, and you've just made $1,000 in interest. By the end of the third year, you've got over $1,600 just in interest.

What is a real life example of simple and compound interest? ›

Most coupon-paying bonds, personal loans, and home mortgages use simple interest. On the other hand, most bank deposit accounts, credit cards, and some lines of credit tend to use compound interest.

Which is the best example of compounding? ›

To illustrate how compounding works, suppose $10,000 is held in an account that pays 5% interest annually. After the first year or compounding period, the total in the account has risen to $10,500, a simple reflection of $500 in interest being added to the $10,000 principal.

What are some of the uses of compound interest? ›

To take advantage of the magic of compound interest, here are some of the best investments:
  • Certificates of deposit (CDs)
  • High-yield savings accounts.
  • Bonds and bond funds.
  • Money market accounts.
  • Dividend stocks.
  • Real estate investment trusts (REITs)
Apr 12, 2024

What is a simple interest in real life? ›

Simple interest is more advantageous for borrowers than compound interest, as it keeps overall interest payments lower. Car loans, amortized monthly, and retailer installment loans, also calculated monthly, are examples of simple interest; as the loan balance dips with each monthly payment, so does the interest.

What did Einstein say about the power of 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.

What is the power of compounding in simple words? ›

In financial terms, the power of compounding is the increase in the value of an investment over time due to interest and the same interest is added back to the principal amount.

What is an example of a compound interest 401k? ›

This is called compounding, or compounded returns. Consider this, a $1,000 invested one-time over 40-years that achieves a return of 8% each year will turn into over $20,000. * That's right, over $19,000 of the greater than $20,000 dollars in savings is generated from compounding!

What is the power of compound interest and why is it important? ›

Compound interest causes your wealth to grow faster. 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!

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