Compound interest · compounding periods

Compound interest · compounding periods: use principal, nominal annual interest, years. Review the formula, worked example and calculation steps.

Inputs

Use the units shown
RESULT
—

Enter your values and select Calculate.

Formula & explanation
A = P(1 + r/(100n))^(nt)

Variables & units

Principal
Numeric value · minimum 0, maximum 1000000000000
Nominal annual interest
% · minimum 0, maximum 100
Years
years · minimum 0, maximum 100
Compounding periods per year
Numeric value · minimum 1, maximum 366

Worked example

1,000 at 12% nominal compounded monthly for 1 year grows to 1,126.82503.

Assumptions

Fixed rate, no contributions, taxes or fees. Fractional years use the same mathematical compounding model.

Formula version 1.0.0. JavaScript floating-point arithmetic applies. Results display up to 6 decimal places; stored values retain available precision. Use the units shown.

Practice with an example

Use the default input values to find the answer. The reset icon restores those values.

Calculated on your device. Your latest 100 calculations stay in this browser.