3 Fun Ways to Teach Compound Interest for Kids (2024)

Fun compound interest activities and compound interest games to help with how to explain compound interest to a child.

Compound interest − a phenomenon that you want to get cozy with − can be a difficult thing for your child to get.

3 Fun Ways to Teach Compound Interest for Kids (1)

Heck, it can be a difficult concept for us, Mama Bears!

The good news is that as long as your money and your child's money is in a savings account, compound interest works, whether you understand it or not (how cool is that?).

Still, we want your child to get into the über-awesome habit of saving gobs of money for the rest of their lives, so we need them to discover the coolness of money earning its own money.

So, how to explain compound interest to a child?

This is where things get a little…sticky. You see, this stuff doesn’t get really exciting until there’s a lot of money involved (“a lot” in kid-context = thousands of dollars).

Yet, if your child doesn’t pick up this habit when they have $5 to manage, then getting to the point where they can save enough money to make compound interest exciting will be more difficult.

You see what I mean? We want to instill good money habits in our kids now, while they’re young and the stakes are low, so that those same money habits they've established will help make their money soar when they get to the point where they're earning real paychecks.

Yet, what kid is going to get excited about earning $0.01 and $0.015 due to compound interest?

Quite the problem.

Before we tackle how to deal with this with some fun ways to teach compound interest, let's get down to the basics.

Article Content

How to Explain Compound Interest to a Child – Basics First

First up, how do you explain compound interest to a child? Honestly, I didn’t even get introduced to the concept until probably my late teens. And I didn’t really grasp it until my early 20s.

But before we dive into a compound interest definition for your kid, let’s back up a moment.

Because you can’t really teach compound interest until you teach what interest is.

If your child is just starting out with this whole money thing, they might not even grasp the idea that their money earns money AT ALL, let alone that that earned money can then earn even more of its own money.

So, start simply, with simple interest.

How to explain interest to a kid:

“When you deposit your money into a savings account at the bank, your money earns its own money, called interest. The bank pays you this interest because you’ve put your money into their bank.”

Once they understand that their money earns money, you can move onto compound interest.

Here's a kid-friendly way to explain compound interest:

Money you put into a savings account earns interest (money). Since it’s YOUR money, you get to keep the interest, and it’s added into your savings account total. Because it becomes part of your total savings account, the money you put into your account PLUS the interest you earned then earns it’s own interest.

If that's still too complicated, then just know that the whole gist of compounding in as basic words as possible is this: you earn interest on the money you keep in a bank, the interest is added back into your money. Then you earn interest on your new amount of money (which is bigger now, thanks to that earned interest!).

Addition is Fun, but Multiplication is Where It’s At

Here's one more angle to try:

  • Addition: Kids add money to their bank account (from babysitting, birthday money, allowance, chore commissions, etc.).
  • Multiplication: Interest multiplies that money.

And the more often you get to multiply something? The greater your overall earnings. Think of compounded monthly and compounded daily simply as how often the multiplication gets to happen.

  • Compounded Monthly: This means the interest earned is added back into the original amount (reinvested) one time a month. So, once per month, your original amount grows.
  • Compounded Daily: What does interest compounded daily mean? It means the interest is added back into the overall amount every day, so that EACH day, the pot of money that earns interest is growing.

Interest is earned each day of the month, regardless of when compounding occurs. Monthly versus daily just refers to when that interest is added to the original pot of money (the one that's earning).

Okay, okay. Words and kid-friendly definitions are great and all. But how do you get your kid to really GRASP this whole compound interest thing (you know, so that they're more likely to save money instead of spend it on everything at the checkout counter)?

Here's the trick: let them discover their own money earning ITS own money.

Mama Bear Cliff Notes: Teaching your child about Compound Interest giving you a headache? Skip the sit-down and have your child watch Camp Millionaire's video on Compound Interestinstead (9:02 minutes).

Fun Ways to Teach Compound Interest

You may not have ever thought you’d see “fun” and “teach compound interest” in the same sentence. But don’t worry – I’ve got you covered!

I’ve curated a list of fun ways to teach compound interest. Personally, I would prioritize having your child play a round of compound interest detective below (my own created activity to teach compound interest), because seeing compound interest at work in their OWN savings account on their OWN money is going to have the most impact on them.

Fun Interest Activity #1: Play Compound Interest Detective

This money activity is going to make your child realize that THEIR money is earning it's own money, right now and all the time. Even when they eat, sleep, and go to the potty.

Detective Step #1: Gather two consecutive statements representing two compounding periods from your child's savings account. So if the account is compounded monthly, gather two months' worth of statements. And if your child's account is compounded quarterly? You'll need two quarter statements. Annually (yikes, you're missing out on compound interest earningsover the long haul with this kind of setup)? Get two annual statements.

While seeing their statement online is cool, printouts are even better. Print it out if you can find it online, or call the bank and ask them to send you one by mail/email.

Detective Step #2: Have your child dig into the two statements for a few nuggets of information. They want to find and then highlight both the starting balance + the ending balance (after interest was added) on each statement.

At the bottom of each statement, if it's not a line item somewhere, have them write down how much interest was earned (by subtracting the ending balance from the starting balance).

For example, let's say they have $250 in their account at the beginning of the first statement's month, compounding monthly, at 0.75% APY. It would have earned $1.56 in that first month, bringing the ending balance to $251.56. Then in the next month, the interest is calculated on $251.56 − not just the $250 − so it will have earned $1.57 instead of $1.56. Which then, of course, gets added onto the principal to become $253.13 for the following month.

Detective Step #3: Ask your child why their money earned less during the first month's statement and why it earned more during the second month's statement (so in the example above, why did it earn $1.56 in month 1, but $1.57 in month 2?).

They likely won't know the answer. Cue your “compound interest” discussion (use the kid-friendly talking points from above).

Detective Step #4: Have your child do some further detective work and find out how often their account's interest is compounded. If you can't find the information in the teensy-weensy font at the bottom of your bank's page, then just make a phone call and ask someone.

Bonus points that you show your child how to be proactive with finances by getting an answer!

Detective Step #5: Have your childinput their savings information into this compound interest calculatorto figure out which is a more advantageous way to earn money: compounded daily, monthly, quarterly, or annually?

Directions:

  • Open up this compound interest calculator. Fill in the current amount you have in savings for the “initial investment” amount. Then $0 for the “Contribute” amount, and then fill in the number of years left that they have until they take over the account (typically at age 18 or 21, depending on the state you live in) in Step #2. For Step #3, fill in their current savings account APY, but leave the “Range of interest rates” field blank. Finally, have them pick “Annually” for Step #4. Click “Calculate”.
  • Record the amount that your money will have earned.
  • Repeat the above steps three more times, only replacing Step #4 each time to “semi-annually”, “monthly”, and “daily”, then clicking “Calculate”.

So for the example above ($250 initial investment, earning 0.75% APY, with 10 years to go), here's how it plays out with the different compounding methods:

  • Annually: $269.40
  • Semiannually: $269.43
  • Monthly: $269.46
  • Daily: $269.47

Detective Step #6: Ask your child which is the best way to have money compounded (and by “best” I mean have them choose the compounding method that will earn theirmoney the most amount of money).

Mama Bear Note: you really want to play up the fact that this is without your child adding one. extra. cent. to this account. The savings just grows on its own!

Optional Detective Step #7: If your child is not entirely impressed with their approximate $19.40-$19.47 interest earnings (or whatever theirs comes out to be), have them fill in whatever amount they would like as the initial investment amount…sky is the limit. And of course the greater (or in this case, “larger”) their imagination, the more compound interest will come through.

Pssst: keeping a savings binder for your child is a great idea (especially in our paperless world). Each quarter, month, or however often their savings account gets a statement, print it out and let them put it in their binder. This will help them really see the changes in growth over the months and years.

Fun Interest Activity #2: Play Compound Interest Ager

One of the problems with getting kids to care about saving their money and feeling the effects of compound interest is, well, getting them to associate themselves with their adult versions. Money takes TIME to compound, especially small amounts of it. They might not truly get the benefits of compounding until they’re as old as you and I (though, fortunately, the earlier they start the sooner it’ll make an impact on their lives).

So, I’ve come up with a really fun activity called the Compound Interest Ager. You’re going to have your child see an older version of themselves, and then do a compound interest calculation that will show them how much they'll have at that age.

Psst: if nothing else? They’ll probably get a good laugh out of this one. Or they’ll scrunch their nose up in disgust at the small wrinkles and 5-o-clock-shadow on their photo. But either way, you’ve caught their attention!

Step #1: Upload a Photo of Your Child to this Age Progression App

You can purchase an app to age your kid’s photos, but I found a free one that’ll get the job done here. You can either age their photo by 20 years, or by 30 years. You choose male/female, and click “no” for drug addict (yikes!).

Here’s one I did of my husband, from a photo when he was just 6 years old. I aged him by 20 years, and he looks just like his brother (though, his brother has front teeth, of course).

3 Fun Ways to Teach Compound Interest for Kids (2)

Step #2: Help Your Child Use this Compound Interest Calculator

Next, you want to show your child how much money their savings account grows to either 20 or 30 years from now, based on their savings behavior (and the magic of compounding interest).

Directions — open this free compound interest calculator, and plug in the following:

  • Initial Investment: $1,000
  • Contribute Per Month: $10
  • Length of Time in Years You'll Contribute: Put in either the 20 or 30 years you chose in the aging image app.
  • Interest Rate: 2.5%
  • Compounded: Let your child play with the four choices — annually, semi-annually, monthly, and daily.

When you're finished, you want to click on the button “show table”. There, you'll be able to see your kid's total contributions, and how much their money earned over the years for them. So, at $10/month contribution, your child will have contributed $2,500 over 20 years. BUT, their money will have earned an additional $774.53 through compound interest, meaning they'll have a total of $3,274.53 20 years from now.

The main questions you want your child to answer are: How much money will they have when they’re insert future age? Now, how much money will they have WITHOUT compound interest at that same age?

This should show them the “magic” of compound interest, plus motivate them to make it work in their favor.

Fun Interest Activity #3: Camp Millionaire's Compound Interest Activity

If you have a group of kids, you can watch this compound interest group activity. I like how it introduces something physical with money education — the kids get to stand up and represent different parts of the money equation.

Again, I want to emphasize the fact that I wasn’t introduced to compound interest until my teens, and didn’t understand it until my early 20s. And I’m on track to retire a millionaire! If you do some of these fun activities to teach compound interest with your own kiddos? Well, they’ll be way ahead of the pack. Heck, they might even retire a billionaire one day, depending on how early they start.

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Amanda L. Grossman

Chief Creator at Money Prodigy

Amanda L. Grossman is a writer and Certified Financial Education Instructor, a 2017 Plutus Foundation Grant Recipient, and founder of Money Prodigy. Her money work has been featured on Experian, GoBankingRates, PT Money, CA.gov, Rockstar Finance, the Houston Chronicle, and Colonial Life.Amanda is the founder and CEO of Frugal Confessions, LLC. Read more here or on LinkedIn.

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3 Fun Ways to Teach Compound Interest for Kids (2024)

FAQs

3 Fun Ways to Teach Compound Interest for Kids? ›

Give an initial small amount of money to your child (perhaps 50 cents) and offer to add to the amount each day for as many days as your child can continue to save. Gradually increase the daily amount that you provide (for example, 10 cents, then 15, then 20) to mimic compound earnings.

How to teach kids about compound interest? ›

Give an initial small amount of money to your child (perhaps 50 cents) and offer to add to the amount each day for as many days as your child can continue to save. Gradually increase the daily amount that you provide (for example, 10 cents, then 15, then 20) to mimic compound earnings.

What is the easiest way to explain compound interest? ›

Compound interest is when you earn interest on the money you've saved and on the interest you earn along the way. Here's an example to help explain compound interest. Increasing the compounding frequency, finding a higher interest rate, and adding to your principal amount are ways to help your savings grow even faster.

How do you solve compound interest questions easily? ›

A = P (1+ r/n)nt
  1. A = Total Amount.
  2. P = Initial Principal.
  3. r = Rate of interest on which loan or deposit is disbursed.
  4. n = number of times the interest is compounded in a year. It can be monthly, half-yearly, quarterly, or yearly.
  5. t = time in years.
Nov 7, 2023

What is simple and compound interest for dummies? ›

Simple interest is calculated on the principal, or original, amount of a loan. Compound interest is calculated on the principal amount and the accumulated interest of previous periods and can therefore be referred to as “interest on interest.”

What is the simple method of compound interest? ›

To calculate the compound interest, we just need to substitute the principal (P), rate r% (r/100), time (t), and the number of times the amount is compounded (n) in the formula P(1 + r/n)nt - P.

How to teach kids simple interest? ›

Lesson Summary

Simple interest is calculated by multiplying the principal, the amount of money that is initially invested or borrowed, by the rate, the speed at which the interest grows, and the time, how long money is being invested or borrowed. In other words, the formula for simple interest is {eq}I=PRT {/eq}.

What are the real life applications 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 are the best ways to start compound interest? ›

If you're a beginning investor and want to start taking advantage of compound interest right away with as little risk as possible, savings vehicles such as CDs and savings accounts are the way to go.

Which answer best describes compound interest? ›

Answer and Explanation:

Compound interest is the interest earned on the already earned interest amount whereas simple interest is the interest earned on the principal amount. Due to the compounding effect, the initial principal investment grows at a faster rate as compared to the growth achieved by simple interest.

What is the quick method for compound interest? ›

A quick rule of thumb to find compound interest is the "rule of 72." Start by dividing 72 by the amount of the interest you are earning, for example 4%. In this case, this would be 72/4, or 18. This result, 18, is roughly the number of years it will take for your investment to double at the current interest rate.

What is the secret formula for compound interest? ›

Compound interest is calculated by multiplying the initial loan amount, or principal, by one plus the annual interest rate raised to the number of compound periods minus one. This will leave you with the total sum of the loan, including compound interest.

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.

How do I know if it's simple or compound interest? ›

The difference between simple interest and compound interest is the way the interest accumulates. Simple interest accumulates only on the principal balance, while compound interest accrues to both the principal balance and the accumulated interest.

What is an example of a compound interest? ›

If you borrowed $1,000 and agreed to pay it back three years later at 20% annual interest, you would owe $600 interest plus the $1,000 principal you borrowed. If you had a $1,000 loan with interest that compounded 20% annually, you would owe 20% on the annual balance, which would increase every year.

What is $15000 at 15 compounded annually for 5 years? ›

$28,500.00.

What is compound interest in maths for kids? ›

Compound interest is the interest calculated on the principal and the interest accumulated over the previous period. It is different from simple interest, where interest is not added to the principal while calculating the interest during the next period.

How much is $1000 worth at the end of 2 years if the interest rate of 6% is compounded daily? ›

Basic compound interest

For other compounding frequencies (such as monthly, weekly, or daily), prospective depositors should refer to the formula below. Hence, if a two-year savings account containing $1,000 pays a 6% interest rate compounded daily, it will grow to $1,127.49 at the end of two years.

How would you explain compound interest to your family? ›

Compound interest is the money paid on interest you have already earned or paid. It's a simple idea, with very powerful effects. Here's how it works. Stash some money in savings, and you'll earn interest.

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