Compound Interest Explained: The Math That Builds Wealth
Compound interest is how ordinary savers build extraordinary wealth. See the formula, worked dollar examples, and how compounding frequency changes results.
Calculate how your savings or investments grow with compound interest and monthly contributions. Free, instant, and private — runs entirely in your browser.
See how your money can grow with compounding and regular contributions.
Enter your initial deposit, the amount you plan to add each month, an annual interest rate, and how many years you'll let the money grow. The calculator compounds monthly and updates instantly.
Each month your balance is multiplied by (1 + r/12), where
r is the annual rate, and then your monthly contribution is
added. Repeating this for every month produces the future value — the same
math banks and brokerages use for monthly compounding.
Want to understand why the growth curve bends upward so sharply in later years? Read our full guide to how compound interest works.
Compound interest is interest earned on both your original deposit and on the interest that deposit has already earned. Over long periods this creates accelerating, snowball-like growth.
It compounds monthly, which closely matches how most savings accounts and index fund returns are modeled. Contributions are added at the end of each month.
For a high-yield savings account, use its current APY. For long-term stock investments, many planners model 6–8% per year before inflation, but past performance never guarantees future results.
No. Results are pre-tax nominal values. To approximate inflation-adjusted growth, subtract an inflation estimate (e.g. 2–3%) from your rate of return.
Compound interest is how ordinary savers build extraordinary wealth. See the formula, worked dollar examples, and how compounding frequency changes results.
Learn what every input in a compound interest calculator means, see the formula behind it, and walk through worked examples so you can trust the results.
Learn how to start investing from scratch: which account to open, what to buy, how much you need, and a step-by-step plan to put your first dollars to work.