Years to financial independence
This tool answers: if I keep saving at this rate, how many years until my portfolio hits my FIRE number?
(1 + r)^n = (FIRE + PMT ÷ r) ÷ (portfolio + PMT ÷ r)
n = ln(that ratio) ÷ ln(1 + r)
PMT is annual savings (income − expenses). FIRE is expenses ÷ SWR.
Income $80,000, expenses $40,000 → 50% savings rate. Portfolio $50,000, real return 5%, SWR 4% (FIRE number $1,000,000). The engine reports the computed years from that formula.
Inputs
- Income and either expenses or a savings rate.
- Current portfolio and an assumed real return (after inflation).
- SWR used only to set the FIRE target.
What the model does not cover
Job changes, raises, sequence-of-returns risk, taxes, fees, Social Security, or Monte Carlo. A 5% real return is an assumption you type — not a forecast.
Educational math only. Bengen / Trinity / 4% cites are teaching references; those PDFs are not on this site (NEED-SOURCE).
Same series
Because $80,000 − $40,000 = $40,000 saved, and $40,000 ÷ $80,000 = 50%.
If the portfolio is already at or above the FIRE number, years to FI is 0.
If savings are not positive and you are not already at FI, the target is not reachable in this model.