Investing Education · 12 min read

Compound Interest Explained: How Money Grows Over Time

Compound interest adds returns to both the original amount and earlier accumulated returns. Time, rate, contributions, fees and taxes determine the result.

Calculator and documents used to explain compound growth
Editorial image: Kelly Sikkema / Unsplash
Educational information

This article explains public financial information. It does not recommend buying, selling or holding any investment.

01

Returns can earn returns

Simple interest applies a rate only to original principal. Compounding adds earned interest or returns to the balance, so later returns apply to a larger base.

The mechanism also works against a borrower when unpaid interest is added to debt. It is a mathematical process, not automatically a benefit.

Key pointCompounding magnifies positive and negative rates over time.
02

Understand the formula and its assumptions

A common formula is A = P(1 + r/n)^(nt), where P is principal, r the annual rate, n compounding periods and t years.

Market returns are not fixed. Use several scenarios rather than presenting one projected balance as guaranteed.

Key pointAssumptions matter as much as arithmetic.
03

Time and contributions drive the base

More time creates more compounding periods. Regular contributions add principal, although their timing changes the outcome.

Starting earlier can help, but no period of market growth is assured and losses can delay recovery.

Key pointTime and contributions are controllable; returns are not.
04

Fees, inflation and taxes also compound

A recurring fee reduces both the current balance and future returns earned on that balance. Small annual differences can become meaningful over decades.

Inflation reduces purchasing power and taxes depend on account type and jurisdiction. Compare real, after-cost outcomes.

Key pointSmall recurring costs can create a large long-term gap.
05

Use the Rule of 72 carefully

Dividing 72 by an annual percentage rate roughly estimates doubling time. At 6%, the estimate is about 12 years.

The shortcut assumes a steady positive rate and ignores volatility, contributions, fees and taxes.

Key pointThe Rule of 72 is an estimate, not a forecast.
QUICK REFERENCE

Inputs that change compounded growth

InputGeneral effectCaveat
TimeMore compounding periodsReturns remain uncertain
ReturnFaster growthHigher return may mean higher risk
ContributionsMore principalTiming matters
FeesLower ending valueCost repeats annually
COMMON QUESTIONS

Frequently asked questions

What is compound interest?

Interest earned on principal plus interest previously added.

How often can it compound?

Daily, monthly, quarterly or annually depending on the product.

What is the Rule of 72?

Divide 72 by a steady annual percentage rate to estimate doubling time.

Is compound growth guaranteed in stocks?

No. Market returns vary and losses occur.

PRIMARY REFERENCES

Official sources

Definitions and methodology were checked against these primary resources. Consult the current documents for complete details.

Investor.gov — Compound Interest CalculatorInvestor.gov — Fees and Expenses
CONTINUE LEARNING

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