Free · No signup · Runs in your browser

See what compounding actually builds

Start with a balance, add a monthly contribution, set the rate — and watch the curve bend. Year-by-year table, savings-goal planner, and a compound-vs-simple comparison that makes the point better than any lecture.

Your savings plan

$
$
%
Future value
$0after 20 years
You put in
$0
Interest earned
$0
Growth multiple
—
Monthly at the end
$0
Your contributionsCompound growth

Constant rate, contributions every month, no withdrawals, taxes ignored. Real investing varies — compounding maths doesn't.

Savings goal planner

Work it backwards: pick a target and we'll show how long your current plan takes to hit it — or what monthly contribution gets you there on your schedule.

$
%
$0
monthly for 15 years to reach $500,000
—
with your calculator plan ($500/mo at 7%)

Compound vs simple interest

Same money, same rate, same time. Simple interest earns on the principal; compound interest earns on the principal and every dollar it already earned.

Compound
$0
Simple
$0

Year by year

The full schedule for the plan above — contributions in, interest earned, and where the balance ends each year.

YearContributedInterest this yearTotal interestBalance

How the numbers work

Every figure comes from closed-form compound interest maths — here's exactly what's applied.

Balance without contributions

A = P(1 + r/n)nt, where P is the starting balance, r the annual rate, n the compounding periods per year, and t the years. Daily compounding at the same nominal rate always beats monthly, which beats annually.

Monthly contributions

Contributions use the effective rate for the contribution period (monthly), so the "Compounding" setting still decides the true growth. The future-value-of-an-annuity formula sums every deposit's own growth period; start-of-month deposits each earn one extra period.

Time-to-goal

Solved with logarithms where possible: n = ln(1 + i·FV/PMT) / ln(1+i), i being the monthly effective rate. If your goal needs a negative monthly amount (the start balance already overshoots with zero contributions), we flag it.

What's not modelled

Taxes, fees, inflation, changing returns and contribution increases. A real portfolio is volatile; the honest version of this tool is a constant-rate projection, clearly labelled as one.

Questions people ask

Does compounding frequency really matter that much?
At typical savings rates, moving from monthly to daily compounding adds well under 0.1% a year — noticeable on large balances, negligible on small ones. What matters far more is the rate and the years. Set it to what your actual account uses and move on.
What rate should I use?
For a high-yield savings account, its current APY. For index-fund investing, 6–7% nominal is a conservative planning number (historically ~10% before inflation, ~7% after). Anything above ~10% as a fixed guaranteed rate deserves suspicion — that's the region where "too good to be true" lives.
Why does the interest in later years dwarf the early years?
Because each year's interest is computed on a base that includes all previous interest. On a 20-year plan, the last 5 years often earn more than the first 15 combined — that bend in the year-by-year table is the entire point of compounding.
Is this the same as a 401(k)/IRA projection?
Same maths, different assumptions. Employer matches are just extra contributions (add the match amount to your monthly), and tax-advantaged accounts don't change the growth rate — only what you keep at withdrawal.
When will my money double?
The Rule of 72 approximates it: 72 ÷ rate ≈ years to double (at 7%, about 10.3 years). This calculator's exact answer shows up if you set the goal to twice your plan's projected balance and check the time-to-goal box.
Is my data saved or sent anywhere?
No. Everything runs in your browser with plain JavaScript — the numbers never leave your device and we don't store them. See our privacy policy.