This is the rough math. FIRE Awareness tracks the real thing — your live safe-to-spend number, worked back from your actual FIRE date.
Try the live demo — no signupTwo numbers matter in FIRE math. The first is your FIRE number — the portfolio size at which withdrawals can cover your spending indefinitely. The second is the date — how long compounding plus your monthly contributions take to get there. Everything else is decoration.
Your FIRE number is just your annual spending divided by your safe withdrawal rate:
FIRE number = annual expenses ÷ SWR
At the classic 4% rate that works out to 25× your annual expenses. Spend $40,000 a year and you need $1,000,000. Drop the SWR to 3.5% and the multiple becomes ~28.6×, so the same spending needs about $1,143,000. Small changes to the withdrawal rate move the goal a lot — which is exactly why it's an input here, not a hidden assumption.
For the timeline, the calculator doesn't use a closed-form shortcut. It simulates month by month: your balance grows by one month of return, your savings land on top, repeat until the balance crosses the goal. If that takes more than 100 years, it tells you honestly that you're not on this path yet — the fix is more savings, lower planned spending, or both.
Say you have $100,000 invested, save $3,000 a month, and plan to spend $40,000 a year ($3,333/mo) in retirement. At a 4% SWR your FIRE number is $1,000,000. Growing at 7% a year with $3,000/mo added, you cross it in roughly 13 years. Notice what dominates: at this savings rate, contributions do most of the early lifting, then compounding takes over in the back half. That's typical — the first $100k is the slowest.
Is the 4% rule safe for early retirees? It's a reasonable starting point, not a guarantee. For horizons beyond 30 years, most careful FIRE plans use 3.25–3.75% — lower the SWR input and watch your number rise.
Real or nominal returns? Real. Use an after-inflation return and today's-dollar expenses, and you never need an inflation input at all.
What about taxes? Treat your retirement expense figure as gross — everything you'll pay out, including tax on withdrawals and health insurance.