🌱 The Seed That Keeps Giving
Imagine planting a magic seed. You put in $100, and every year it grows more and more!
Here's the secret: The fruit (interest) turns back into seeds!
- Year 1: You have $100 + a little bit of fruit
- Year 5: The fruit is bigger, and it makes EVEN MORE fruit!
- Year 20: The "Magic Money" (interest) is bigger than what you put in!
📈 Compound interest is often called the "8th Wonder of the World" - whether Einstein actually said it or not, it's a powerful concept!
🔬 The Magic Formula
Here's how the magic works:
A = P(1 + r/n)^(nt) + PMT × (((1 + r/n)^(nt) - 1) / (r/n))
- A = Final Amount (your tree!)
- P = Initial Deposit (your first seed)
- r = Yearly Interest Rate (sunlight!)
- n = Times interest is paid per year (usually 12 for monthly)
- t = Years (how long to grow)
- PMT = Monthly additions (watering!)
🎯 Why It Gets Faster
Year 1: You have $1,000. 7% of $1,000 = $70 magic money!
Year 10: You have $3,000. 7% of $3,000 = $210 magic money!
Year 20: You have $8,000. 7% of $8,000 = $560 magic money!
🎉 By year 20-30, your "Magic Money" (interest earned) is often BIGGER than what you actually put in!