Guide

How Compound Interest Works

Compound interest adds growth to both the original principal and growth from earlier periods. Over long periods, rate, time, contribution timing, fees, and taxes can materially change the result.

Published and reviewed

Direct answer: Understand compounding periods, contributions, effective growth, and why assumptions matter.

The core idea

With simple interest, growth is calculated only on the original principal. With compound interest, each period begins with a balance that can include earlier growth. The repeated multiplication creates exponential rather than linear growth.

Reading the formula

For a lump sum, future value is P(1+r)ⁿ. P is the starting principal, r is the rate for one compounding period, and n is the number of periods. Regular end-of-period contributions use an annuity factor and are added to the lump-sum future value.

Contribution timing matters

Money deposited at the start of a period receives one more period of growth than money deposited at the end. Our calculator states that monthly contributions occur at month-end so the result is reproducible.

Use scenarios, not predictions

An estimated return is not a guarantee. Compare conservative, central, and optimistic rates, then include fees, tax, inflation, and irregular contributions in your real plan.

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Editorial note

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