Financial

Compound Interest Formula & Calculator - Complete Guide

Learn the compound interest formula A = P(1 + r/n)^(nt) with examples. Free online compound interest calculator.

August 4, 20264 min read

The Compound Interest Formula

Compound interest is calculated using: A = P(1 + r/n)^(nt)

  • A = Final amount
  • P = Principal (initial investment)
  • r = Annual interest rate (decimal)
  • n = Number of times compounded per year
  • t = Number of years

Example Calculation

$10,000 invested at 8% annual interest, compounded monthly, for 10 years:

A = 10000(1 + 0.08/12)^(12×10) = 10000(1.00667)^120 = $22,196.40

You earned $12,196.40 in interest on a $10,000 investment!

Try Our Calculator

Use our Compound Interest Calculator to calculate returns with different compounding frequencies and see year-by-year breakdowns.

Compounding Frequency Matters

Monthly compounding earns more than annual compounding because interest starts earning interest sooner. Daily compounding earns slightly more than monthly.