Calculator

Compound Interest Calculator

Estimate how money can grow when interest is added to the balance over time.

Enter values to begin.

Formula

A = P(1 + r/n)^(nt)

A is the final amount, P is principal, r is annual rate as a decimal, n is compounding frequency, and t is years.

Related guide

How to Calculate Compound Interest Monthly →

Why compounding matters

Compound interest means previously earned interest becomes part of the balance used to calculate later interest. The frequency of compounding therefore affects the final amount when the nominal rate and time period stay the same.

Worked example

If 1,000 earns 5% annually for three years with annual compounding, the balance is 1,000 × (1.05)^3, or about 1,157.63. Monthly compounding uses a different periodic rate and a larger number of compounding periods.

Simple versus compound interest

Simple interest calculates interest on the original principal only. Compound interest repeatedly applies interest to the growing balance. For a clear comparison, keep the principal, annual rate, and time period the same and change only the interest method.

Assumptions to check

Savings accounts and investments can have deposits, withdrawals, changing rates, taxes, and fees. This calculator models the mathematical formula you enter and should be treated as an estimate when the real account has additional rules.