Finance

Compound Interest Explained: The Eighth Wonder

Sarah Mitchell Jun 10, 2026 7 min read
Compound Interest Explained: The Eighth Wonder

Compound interest is the process where the interest you earn starts earning interest itself. Over time, this creates exponential growth — the kind that turns modest savings into substantial wealth.

Simple vs. Compound Interest

Simple interest grows linearly: you earn the same amount each year. Compound interest grows exponentially: each year you earn interest on a larger balance, so your gains accelerate.

The Formula

A = P × (1 + r/n)^(n×t)

Where A is the final amount, P is the principal, r is the annual rate, n is the compounding frequency per year, and t is the number of years.

Why Frequency Matters

The more frequently interest compounds, the faster your money grows. Daily compounding beats monthly, which beats annual — though the difference shrinks at lower rates.

The Power of Time

Time is the most important variable in compounding. Someone who invests $200/month from age 25 to 35 and then stops will often end up with more than someone who invests $200/month from age 35 to 65. Start early.

Use our compound interest calculator to project your own growth and see the impact of different rates and time horizons.

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