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

2 Real-World Examples on the Power of Compound Interest? ›

Two real-world examples on the power of compound interest

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 some real life examples of compound interest? ›

Compound interest is widely used in various financial products and investments, such as savings accounts, bonds, loans, mortgages, and investment portfolios. Understanding compound interest is crucial for making informed financial decisions and planning for the future.

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 the compound effect in real life? ›

To grasp the true power of the compound effect, let's consider some examples. Saving Money: Imagine saving a small amount of money each day. At first, the impact may be minimal, but as you continue to save consistently, the savings grow over time. The interest earned on those savings further accelerates the growth.

What is the power of compound interest in life? ›

If you think about it, the life equivalent of compound interest is wisdom. Learning from the past helps you make better decisions in the future, and those lessons build on one another over time.

How can the power of compound interest work for you? ›

Compound interest makes your money grow faster because interest is calculated on the accumulated interest over time as well as on your original principal. Compounding can create a snowball effect, as the original investments plus the income earned from those investments grow together.

How is the compound interest formula 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 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.

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.

What is a real world example of a compound? ›

There are many compounds in everyday life. Water is a compound of two hydrogen atoms and one oxygen atom. Sugar is a compound made up of carbon, hydrogen, and oxygen atoms. Salt is a compound made up of sodium and chlorine atoms.

How will you relate simple and compound interest in real life situations? ›

Simple interest works in your favor when you're a borrower because it keeps the overall amount that you pay lower than it would be with compound interest; however, it can work against you when you're an investor because you'll want your returns to compound as much as possible to get the most from your investment.

What is the best example of a compound? ›

Examples of compounds include water (H2O), which is made from the elements hydrogen and oxygen, and table salt (NaCl), which is made from the elements sodium and chloride.

How do you find the power of compound interest? ›

Approach Two: Fixed Formula

The second way to calculate compound interest is to use a fixed formula. The compound interest formula is ((P*(1+i)^n) - P), where P is the principal, i is the annual interest rate, and n is the number of periods.

What is the power of compound interest refers to? ›

The Power of Compound Interest shows how you can really put your money to work and watch it grow. When you earn interest on savings, that interest then earns interest on itself and this amount is compounded monthly. The higher the interest, the more your money grows!

How to illustrate the power of compounding? ›

With a 7.64% average annual return, a $100,000 investment will grow to a whooping $1.9 million in 40 years. The above clearly illustrates the power of compounding and the effect of putting money in investments portfolio with higher returns verse those with lower returns.

What is an example of the magic of compounding? ›

If he learns to save and invest in the same way as his parents and from the age of 25 years starts investing Rs 3,000 per month religiously in the same instrument earning 10 per cent compounded annually he would be able to get an amount of Rs 1.14 crore at the time of his retirement (60 years).

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