Basic Interest Calculations

Learn how interest makes your money grow when you save, and costs you money when you borrow. It's like having your money work for you! ๐Ÿ’ฐ

What is Interest? ๐Ÿค”

Interest is money that grows on top of money you save, or extra money you pay when you borrow.

When You Save

The bank pays YOU interest for keeping your money there. Your money grows! ๐ŸŒฑ

When You Borrow

YOU pay the bank interest for borrowing their money. You pay back more! ๐Ÿ’ธ

The Simple Interest Formula ๐Ÿ“

Interest = Principal ร— Rate ร— Time
or in short:
I = P ร— R ร— T
P = Principal
The money you start with
R = Rate
The interest percentage
T = Time
How long (usually years)

Real-Life Examples You'll Love! ๐ŸŽ‰

Your Piggy Bank Savings ๐Ÿท

See how your birthday money can grow!

๐Ÿ“– The Story:

You got $100 for your birthday and put it in a savings account. The bank gives you 5% interest per year. How much extra money will you have after 1 year?

๐Ÿงฎ Let's Calculate!
Principal (P): $100 (your birthday money)
Rate (R): 5% = 0.05 (as a decimal)
Time (T): 1 year
Interest = $100 ร— 0.05 ร— 1 = $5
Final Result!
๐Ÿ’ต You started with: $100
โž• You earned in interest: $5
๐ŸŽ‰ You now have: $105
๐Ÿ“Š Watch Your Money Grow!
Year 1 $105
+$5
Year 2 $110
+$10
Year 5 $125
+$25

Saving for a Video Game Console ๐ŸŽฎ

Plan your savings with interest!

๐Ÿ“– The Challenge:

You want to buy a game console that costs $500. You save $400 in a special savings account that pays 6% interest per year. How long until you have enough money?

๐Ÿงฎ Let's Calculate Year by Year!
๐Ÿ“… After 1 Year:
Interest = $400 ร— 0.06 ร— 1 = $24
Total = $400 + $24 = $424
โŒ Not enough yet (need $500)
๐Ÿ“… After 2 Years:
Interest = $400 ร— 0.06 ร— 2 = $48
Total = $400 + $48 = $448
โŒ Still not enough (need $500)
๐Ÿ“… After 3 Years:
Interest = $400 ร— 0.06 ร— 3 = $72
Total = $400 + $72 = $472
โŒ Almost there!
๐Ÿ“… After 4 Years:
Interest = $400 ร— 0.06 ร— 4 = $96
Total = $400 + $96 = $496
โŒ So close! Just $4 short
๐Ÿ’ก Smart Solution:

You could wait just 5 years for the interest to grow to $120 (total $520), OR you could add just $4 more after 4 years to reach your goal sooner! ๐ŸŽ‰

When You Borrow Money ๐Ÿ’ณ

Understanding the cost of borrowing

๐Ÿ“– Important Lesson:

Your older sibling borrows $200 from a friend to buy a bike. They agree to pay 10% interest after 1 year. How much will they have to pay back?

๐Ÿงฎ The Math:
Principal (P): $200 (money borrowed)
Rate (R): 10% = 0.10
Time (T): 1 year
Interest = $200 ร— 0.10 ร— 1 = $20
Total Cost to Pay Back:
๐Ÿ’ต Money borrowed: $200
โž• Interest cost: $20
๐Ÿ’ธ Total to pay back: $220
Important: When you borrow, you pay MORE than you got. That's why it's better to save than borrow! ๐ŸŽฏ
๐Ÿ“Š Saving vs. Borrowing Comparison:
Saving $200 @ 5%
Year 1: $210 โœ…
Year 2: $220 โœ…
Year 5: $250 โœ…
You GAIN money! ๐ŸŽ‰
Borrowing $200 @ 10%
Year 1: Pay $220 โŒ
Year 2: Pay $240 โŒ
Year 5: Pay $300 โŒ
You LOSE money! ๐Ÿ˜ข

Your Weekly Allowance Plan ๐Ÿ’ต

Make your allowance work harder!

๐Ÿ“– Smart Saving Strategy:

You get $10 allowance every week. Instead of spending it all, you decide to save $500 in a savings account that pays 4% interest per year. How much extra will you earn in one year?

๐Ÿงฎ The Calculation:
Principal (P): $500 (saved from allowance)
Rate (R): 4% = 0.04
Time (T): 1 year
Interest = $500 ร— 0.04 ร— 1 = $20
Your Reward for Saving:
๐Ÿ’ฐ Your savings: $500
๐ŸŽ Free money from interest: $20
๐ŸŒŸ Total after 1 year: $520
Fun Fact: That's like getting 2 extra weeks of allowance for FREE just for being smart with your money! ๐Ÿš€

Wait, There's More! ๐Ÿš€

What we learned today is called Simple Interest

Simple Interest

Interest is calculated only on your original amount (principal). This is what we learned today! โœ…

Example: $100 at 5% for 3 years
Interest = $100 ร— 0.05 ร— 3 = $15

Compound Interest

Interest earns interest too! Your money grows FASTER because you earn interest on your interest. Mind-blowing! ๐Ÿคฏ

Same Example: $100 at 5% for 3 years
Interest = approximately $15.76
โœจ More money with compound!

Coming Soon: We'll have a whole lesson on Compound Interest and how it can make you REALLY rich over time! ๐Ÿ’ฐ๐ŸŒŸ

Test Your Interest Knowledge! ๐Ÿง 

1๏ธโƒฃ You have $50 in a savings account with 6% interest. How much interest will you earn in 2 years?

2๏ธโƒฃ Your friend borrows $150 and pays 8% interest for 1 year. How much total will they pay back?

3๏ธโƒฃ You save $300 at 5% interest. How many years until you earn $45 in interest?

4๏ธโƒฃ Which is better: Saving $200 at 5% for 2 years OR borrowing $200 at 10% for 1 year?

Key Things to Remember! ๐ŸŽฏ

The Big Ideas:

  • Interest is extra money that grows on savings or costs when borrowing
  • Formula: I = P ร— R ร— T (Principal ร— Rate ร— Time)
  • The longer you save, the more interest you earn!
  • Higher interest rates mean more growth (or more cost)
  • Simple interest only calculates on the original amount

Smart Money Tips:

  • Saving is winning: You earn interest for free! ๐ŸŽ‰
  • Borrowing costs more: You pay extra on top of what you borrowed ๐Ÿ’ธ
  • Start saving early to earn more interest over time
  • Look for accounts with higher interest rates for your savings
  • Even small amounts can grow big with time and interest! ๐ŸŒฑ

Where You'll See Interest in Real Life ๐ŸŒ

Savings Accounts

Banks pay you interest to keep your money safe with them. Your money grows while you sleep! ๐Ÿ˜ด๐Ÿ’ฐ

College Savings

Parents use special accounts that earn interest to save for your college education. Start early, save more! ๐ŸŽ“

Credit Cards

When adults don't pay their credit card bills on time, they pay HIGH interest. That's why it's expensive! ๐Ÿ’ณ๐Ÿ˜ฐ

Home Loans

Most people borrow money to buy a house. They pay interest over many yearsโ€”sometimes 30 years! ๐Ÿ 

Car Loans

People pay interest when they borrow money to buy a car. Lower interest = cheaper car overall! ๐Ÿš—

Investments

Some investments earn interest or returns. This is how people grow wealth over time! ๐Ÿ“ˆ๐Ÿ’Ž

Ready to Start Your Savings Journey? ๐ŸŒŸ

Now that you understand how interest works, let's help your family create a smart savings plan that will grow your money over time!

Get Started Today