FIRE number calculator
A FIRE number is annual spending divided by the withdrawal rate. $60,000 a year at 4 percent is a $1,500,000 pile. From $50,000 saved plus $25,000 a year at 7 percent, that pile is 22.4 years away.
FIRE number
$1,500,000.00
22.4 years to reach it from $50,000.00 plus $25,000.00 a year at 7 percent.
- Annual spending
- $60,000.00
- Withdrawal rate
- 4.00%
- FIRE number
- $1,500,000.00
- Gap from what is saved now
- $1,450,000.00
- Years to reach it
- 22.4
What you expect to spend each year, in today's money.
The 4 percent rule is a 4 here. A higher rate needs a smaller pile and is less forgiving.
A constant annual rate, so two savings paths are comparable. Not a forecast.
The formula
is annual spending, the withdrawal rate as a decimal (4 percent is 0.04), what is already saved, saved each year, the annual return. is years to reach . The 4 percent rule is , which is also .
Why 4 percent is 25 times spending
If you plan to withdraw 4 percent of a pile in the first year and then adjust that amount for inflation, the pile has to be times that first-year spending. $60,000 of spending wants $1,500,000. A 3 percent withdrawal wants times spending; a 5 percent withdrawal wants 20 times. The withdrawal rate and the multiple are the same fact written two ways.
The 4 percent figure is a research finding about a particular historical sample of US stock and bond returns, not a law of arithmetic. This calculator will apply whatever rate you type. It will not tell you that 4 percent is safe. Safe withdrawal rates is the page that treats the 4 percent rule as a claim about history rather than as a formula.
Sequence of returns sits beside this identity and is not inside it. Two piles of $1,500,000 that earn 7 percent on average can last very different lengths of time if the bad years arrive first. The sequence of returns explorer is that picture.
Years to the pile, at one constant return
Once the target is known, the wait is a savings-goal question. Starting from $50,000, adding $25,000 a year, at 7 percent a year, the closed form says 22.43 years to $1,500,000. At a 5 percent return, the same saving toward a $40,000-a-year lifestyle (a $1,000,000 pile at 4 percent) from $100,000 already saved plus $20,000 a year takes 21.10 years.
The compounding is annual, on purpose. A FIRE horizon is counted in years, and monthly precision on a 4 percent rule would be dressing. The return is constant, also on purpose, so two savings paths are comparable. A real path is a sequence, and an average return is not a compound return, which is the warning every compounding page on this site already makes.
If the current pile already covers the spending at this withdrawal rate, years to FIRE is 0. If the pile is shrinking in real terms and the saving cannot catch the target, there is no finite wait, and the calculator says so rather than printing a huge year count.
Spending is the lever that moves both sides
Cut spending and two things happen at once: the target pile shrinks, and the annual saving (if the cut comes from current consumption) rises. That is why a savings-rate picture, like the savings rate explorer, is often a clearer FIRE tool than a pile-size tool. The pile is a consequence of the rate. The rate is the decision.
Raising the assumed return also cuts the wait, and it is the lever a reader does not control. Typing 10 percent because that is what a chart of the last decade shows is how a 22-year wait becomes a 16-year wait on the screen and a 22-year wait in the world. This page will apply 10 percent if you type it. It will not endorse it.
What the number is silent on
Taxes, healthcare, housing that is or is not paid off, and a state pension or Social Security benefit all change the spending the pile has to cover. A $60,000 spending figure that already nets those out is a different input from a $60,000 figure that does not. The formula cannot tell which one you typed.
Inflation is inside a real return and inside a real spending figure, or it is inside neither. Mixing a 7 percent nominal return with $60,000 of today's spending, held flat in nominal terms, understates the pile you will need. The real return calculator is the conversion. The retirement withdrawal calculator is the other end of the same identity: a pile and a rate, looking at what comes out rather than at what has to go in.
Worked examples
\$60,000 a year at 4 percent, from \$50,000 plus \$25,000 a year
Spending in retirement is $60,000 a year. The withdrawal rate is 4 percent. You have $50,000 saved and add $25,000 a year at 7 percent. What is the FIRE number, and how long is the wait?
- FIRE number: , so $1,500,000.
- Gap from what is saved now: .
- Years: .
The FIRE number is $1,500,000, a gap of $1,450,000 from the $50,000 already saved. At $25,000 a year and 7 percent, the wait is 22.43 years.
\$40,000 a year at 4 percent, from \$100,000 plus \$20,000 at 5 percent
Spending $40,000, withdrawal rate 4 percent, $100,000 already saved, $20,000 added each year, 5 percent return. FIRE number and wait?
- FIRE number: , so $1,000,000.
- Gap: .
- Years: .
The FIRE number is $1,000,000, a gap of $900,000. At 5 percent and $20,000 a year the wait is 21.10 years.
Already there
Spending $40,000 at 4 percent, with $1,200,000 already saved. How many years to FIRE?
- FIRE number: .
- Already saved $1,200,000 is above $1,000,000, so the wait is 0. The gap against the target is negative, which this page reports as already covered rather than as a number of years.
The FIRE number is $1,000,000 and the wait is 0 years, because $1,200,000 already covers $40,000 of spending at 4 percent.
The mistake that costs the most
Treating 25 times spending as a law, then raising the assumed return until the wait looks short.
25 times is 4 percent. If you are not willing to withdraw at 4 percent, the multiple is not 25. And the wait is then being shortened on the screen by a return you do not control. A 22-year wait at 7 percent is the honest reading of those inputs. A 14-year wait at 12 percent is a different claim about the world, not a better calculator.
Common questions
Is the 4 percent rule a guarantee?
No. It is a finding about a historical sample. This calculator will apply 4 percent, or 3, or 5, as a piece of arithmetic. It will not tell you the rate is safe. The safe-withdrawal-rates guide is the place that claim is examined.
Should spending be today's spending or retirement spending?
Retirement spending. A working-life budget that includes commuting and a mortgage is not the same object as a retired budget. Using the working-life figure usually overstates the pile; using a wishful retired figure understates it.
Does this include Social Security or a pension?
Only if you have already subtracted those from the spending figure. The formula covers a pile and a withdrawal from that pile. A benefit that arrives anyway is a cut to the spending the pile has to fund, not an input of its own.
Keep reading
This page is educational material, not financial advice. The figures come from the formula shown and assume the inputs you enter hold for the whole term. Your own rate, fees, taxes and timing will differ, so treat the output as arithmetic to check a decision against, not as a recommendation.