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How compound interest works (with real examples)

๐Ÿ“… April 2026โฑ 4 min read๐Ÿท Investing

Compound interest is earning interest on your interest. Over time, this creates exponential growth rather than linear growth โ€” and it's the reason why starting early matters so much more than contributing large amounts later.

Simple vs compound interest

Simple interest pays on your original principal only. If you invest $10,000 at 7% simple interest, you earn $700 per year โ€” every year, forever.

Compound interest pays on your principal plus all previously earned interest. In year 1 you earn $700. In year 2, you earn 7% on $10,700 โ€” that's $749. The difference seems small early on. Over decades, it's enormous.

The formula

A = P ร— (1 + r/n)^(nร—t)

A = final amount  |  P = principal  |  r = annual rate  |  n = compounds per year  |  t = years

For annual compounding (n=1) at 7%, $10,000 over 30 years: A = 10,000 ร— (1.07)ยณโฐ = $76,123.

What $10,000 grows to at 7% annually

YearsSimple InterestCompound Interest
5 years$13,500$14,026
10 years$17,000$19,672
20 years$24,000$38,697
30 years$31,000$76,123
40 years$38,000$149,745

After 40 years, compound interest produces nearly 4x more than simple interest โ€” from the exact same initial deposit.

๐Ÿ“ˆ Calculate Compound Growth

Enter your starting amount, monthly contributions, rate of return and time horizon to see how your money grows.

Open Compound Calculator โ†’

The Rule of 72

A quick shortcut: divide 72 by your annual interest rate to find how many years it takes to double your money.

This rule works for debt too. At 18% credit card interest, unpaid debt doubles in just 4 years.

Why starting early matters so much

Two investors each contribute $200/month at 7% returns:

By age 65, Investor A has more money โ€” despite contributing for only 10 years. Investor B contributed three times as much but started a decade later. The early years of compounding are disproportionately valuable.