How the Millionaire Calculator works
This tool answers a single question: starting from what you have saved today, how many years does it take to reach $1,000,000 - or any target net worth you choose - if you keep contributing a fixed amount every month and your money grows at a steady annual return? It uses the standard future-value-with-contributions formula, the same math behind most retirement and savings calculators, solved for time instead of for a final balance.
The formula
For a current balance P, a fixed monthly contribution PMT, and a monthly return rate r (the annual rate divided by 12), the balance after n months is:
FV = P(1 + r)n + PMT × [((1 + r)n − 1) / r]
Setting FV equal to your target and solving for n gives:
n = ln[(FV·r + PMT) / (P·r + PMT)] / ln(1 + r)
When the return rate is 0%, the formula reduces to the simpler n = (FV − P) / PMT — the remaining gap divided by how much you add each month. The calculator assumes contributions are made at the end of each month and that the annual return compounds monthly at a constant rate.
Worked example
Start with $50,000 saved, add $1,000 every month, and assume a 7% annual return. The monthly rate is 0.07 / 12 ≈ 0.005833. Plugging into the formula gives roughly 23 years and 10 months to reach $1,000,000. Over that time you would contribute about $286,000 out of your own pocket, with the remaining roughly $664,000 coming from compound growth on the balance.
What moves the timeline most
- Return rate: because growth compounds, small changes in the assumed annual return shift the timeline by years, not months — dropping from 7% to 5% on the example above pushes the goal out by roughly four to five years.
- Monthly contribution: raising contributions shortens the timeline directly and also gives compounding a larger base to work from earlier, so contribution increases made sooner have an outsized effect.
- Starting balance: a larger head start compounds for the entire period, so early savings are worth more than the same dollar amount added near the end.
Assumptions and limits
The formula assumes a constant nominal annual return with no volatility, no taxes, no fees, and no changes to the contribution amount over time — real markets rarely behave this smoothly. Use a lower return assumption to approximate an inflation-adjusted (real) result, and treat the output as a planning estimate rather than a guarantee. This is a computational tool, not personalized investment or financial advice.