Interest and compound growth
How money earns money, and why starting early beats starting big.
Interest
When you put money in a bank, the bank pays you a little extra for letting it use your money. That extra is . If you have $1,000 earning 8% a year, you get $80 the first year.
Compound growth: the snowball
Here's the magic part. In year two, you earn 8% on $1,080, not just $1,000. Your interest starts earning its own interest. That's . It's like a snowball rolling downhill, picking up more snow the bigger it gets.
At 8% a year, $1,000 grows to about $2,000 in 9 years without adding a single dollar.
The rule of 72
A quick trick to guess how long it takes money to double: 72 divided by the growth rate.
- At 8%: 72 ÷ 8 = about 9 years.
- At 6%: 72 ÷ 6 = about 12 years.
- At 12%: 72 ÷ 12 = about 6 years.
Starting early beats starting big
Three people each save $100 a month, it grows 8% a year, and they all stop at age 65:
- Starts at 15: puts in $60,000, ends with about $793,000.
- Starts at 25: puts in $48,000, ends with about $349,000.
- Starts at 35: puts in $36,000, ends with about $149,000.
The 15-year-old put in only $24,000 more than the 35-year-old, but ended with more than five times as much. The secret ingredient is time.
These are math examples with a steady 8% a year. Real investments go up and down, and nothing is guaranteed.
Remember
- Interest is what money earns for being used.
- Compound growth means interest earns interest.
- Rule of 72: 72 divided by the growth rate is about how many years to double.
- Start early. Time does the heavy lifting.
Check yourself
1. What is compound growth?
2. Using the rule of 72, about how long does money take to double at 6% a year?
3. Why did the person who started at 15 end up with so much more?
Next lesson: Needs, wants and a simple budget
Money Tree School is education, not financial advice. Examples use made-up or historical numbers to show how things work; they are not recommendations to buy or sell anything. Markets can lose money.