Compound Interest: How Growth Builds Over Time

Learn the compound interest formula, compounding frequency and the limits of illustrative growth projections.

INVESTCALC VISUAL GUIDE

Growth can compound on prior growth

Understand how time and compounding frequency affect a balance.

InputsTimeAssumptionsOutcome
Conceptual illustration · not a forecast
INVESTCALC VISUAL GUIDE

Growth can compound on prior growth

Understand how time and compounding frequency affect a balance.

InputsTimeAssumptionsOutcome
Conceptual illustration · not a forecast

What is compound interest?

Compound interest is interest calculated on both the original principal and accumulated interest. The effect can become more visible over longer periods when interest remains invested.

The basic formula

For a fixed nominal annual rate compounded m times per year, future value can be modelled as principal multiplied by (1 + rate divided by m) raised to m times the number of years.

Frequency and time

More frequent compounding changes the mathematical result. The actual product terms determine how and when interest is credited.

Where projections can mislead

A constant rate is a simplifying assumption. Investment returns fluctuate, savings rates can change, and taxes or fees can reduce the final amount.

Try different assumptions

Use the InvestCalc compound interest calculator to compare rates, time periods and compounding frequencies.

Put the numbers into context

Use an InvestCalc tool to explore an estimate with your own assumptions.

Explore calculators ↗