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

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2 Real-World Examples on the Power of Compound Interest (1)

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.
2 Real-World Examples on the Power of Compound Interest (3)

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.
2 Real-World Examples on the Power of Compound Interest (4)

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?
2 Real-World Examples on the Power of Compound Interest (5)
2 Real-World Examples on the Power of Compound Interest (6)
2 Real-World Examples on the Power of Compound Interest (2024)

FAQs

What is a real life example 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 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 compounding in real life? ›

Power of compounding refers to capability of an investment to generate earnings, not only on the principal amount, by also on the interest earned over time. There are a number of investment options where the power of compounding is used and the interest earned is added to your invested funds.

What is an example of compounding in life? ›

For example, if you have $500 and earn 10% interest per year, you will have $550 after one year. Then, if you earn 10% interest the next year on that $550, you end up with $605 by the end of year two. The process continues until, eventually, your original $500 may be eclipsed by the amount of interest you gained.

What is a real life example of interest? ›

For example, a bank will pay you interest when you deposit your money in a high-yield savings account. The bank pays you to hold and use your money to invest in other transactions. Conversely, if you borrow money to pay for a large expense, the lender will charge you interest on top of the amount you borrowed.

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 is the best example of compounding? ›

For example, if you invest Rs. 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.

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.

What is compound interest examples for kids? ›

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.

How do you use compound interest in life? ›

Save more with compound interest

So start as soon as you can and save regularly. You'll earn a lot more than if you try to catch up later. For example, if you put $10,000 into a savings account with 3% interest compounded monthly: After five years, you'd have $11,616.

Why is compound interest important in real life? ›

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!

How can you apply simple interest and compound interest in your daily life? ›

Simple interest is only charged on the original principal amount in the case of a loan. Simple interest is calculated by multiplying the loan principal by the interest rate and then by the term of a loan. Compound interest multiplies savings or debt at an accelerated rate.

What is an example of a compound interest life? ›

For example, if you have a principal balance of $3,000 in a savings account that earns 2% interest compounding annually, your account would grow to $6,625 at the end of 40 years. But if your account compounds interest monthly, all else the same, you will have $6,673.

What are the real life applications of compound interest? ›

Some of the applications of compound interest are:
  • Increase in population or decrease in population.
  • Growth of bacteria.
  • Rise in the value of an item.
  • Depreciation in the value of an item.

What is a real example of a compound? ›

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. In the first year, you would make $60, bringing your total investment to $1,060, if you reinvest your return.

What is an example of interest compounded daily? ›

Compound interest is the interest added to the original amount invested, and then you earn interest on the new amount, which grows larger with each interest payment. For example, if you invest $100 and earn 1% annually compounding daily, you'd earn . 00274% daily (1% ÷ 365) in interest.

What is an example of a compound you use in your life? ›

H2O (water) forms the most essential part of human life mixed with some important salts like, MgSO4 and CaCO3. O2, is another important compound mixed with N2 and other gases. NaHCO3 (sodium bicarbonate) is used in food many times that we eat. It is called baking soda.

What is simple and compound interest real life application? ›

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.

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