Finance · Beginner

Compound Interest: The 8th Wonder of the World

April 25, 20267 min readpoly-sim.com

"Compound interest is the 8th wonder of the world. He who understands it, earns it; he who doesn't, pays it." This concept applies not just to savings accounts but to staking yields, DeFi APY, and reinvested trading profits — and understanding it changes how you think about every investment decision.

Simple vs Compound Interest

Simple interest earns returns only on the principal. If you invest $1,000 at 10% annually for 10 years, you earn $100/year = $2,000 total ($1,000 profit).

Compound interest earns returns on both principal AND accumulated interest. That same $1,000 at 10% compounding annually grows to $2,593 after 10 years — 159% more.

Compound Interest Formula
A = P × (1 + r/n)^(n×t)
A = Final amount  ·  P = Principal  ·  r = Annual interest rate (decimal)
n = Compounding periods per year  ·  t = Time in years

The Rule of 72

The Rule of 72 is a quick mental shortcut: 72 ÷ interest rate = years to double your money.

Annual ReturnYears to DoubleExample
5% (savings)14.4 yearsHigh-yield savings account
10% (S&P 500 hist.)7.2 yearsIndex fund
20%3.6 yearsStrong stock/crypto year
72%1 yearExceptional crypto bull run

Time: The Most Powerful Variable

Starting early beats starting smart. Consider two investors both earning 10% annually:

Alice invests the same amount but earns 2.6× more — purely because of 10 extra years of compounding.

Compounding in Crypto: Staking & DeFi

Crypto introduces compounding at rates traditional finance never sees — for better or worse:

⚠️ The Compounding Trap in DeFi

A 100% APY sounds incredible — but if the yield is paid in a governance token that loses 80% of its value, your real return may be negative. Always calculate APY in terms of a stable unit (USD or BTC). Focus on "real yield" — protocols that pay fees in ETH, USDC, or other established assets.

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