Compound Interest Explained: How Your Money Grows Over Time
Compound interest is interest on interest. It's why $10,000 invested at 7% becomes $76,123 in 30 years instead of $31,000 with simple interest. The difference? $45,000 of free money.
How Compound Interest Works
Simple interest earns money only on your original deposit. Compound interest earns money on your deposit plus accumulated interest. Each period, the base grows — and so does the payout.
The formula: FV = P × (1 + r/n)^(n×t)
Where P = principal, r = annual rate, n = compound frequency, t = years.
The Numbers: $10K at 7% Over Time
| Years | Balance | Interest Earned |
|---|---|---|
| 5 | $14,026 | $4,026 |
| 10 | $19,672 | $9,672 |
| 20 | $38,697 | $28,697 |
| 30 | $76,123 | $66,123 |
Add $500/month and that $10K becomes $610,000 in 30 years. Starting early matters more than starting big.
The Rule of 72
Divide 72 by your rate to estimate doubling time. At 7%: 72÷7 = 10.3 years to double. At 10%: 7.2 years. Quick, no calculator needed.
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