How it's calculated
Your yearly savings S are income minus spending. Starting from what you've invested, P, and adding S at the end of each year at a real return r, the years until you reach F are:
Everything is in today's dollars, which is why the return is "real": the return after inflation. If you expect 7% before inflation and 2% inflation, use about 5%.
Worked example
You take home $100,000 and spend $60,000, a 40% savings rate. Your FIRE number is 60,000 ÷ 0.04 = $1,500,000. With $100,000 invested and a 5% real return: n = ln((1,500,000 × 0.05 + 40,000) ÷ (100,000 × 0.05 + 40,000)) ÷ ln(1.05) = ln(115,000 ÷ 45,000) ÷ 0.04879 = 19.2 years.
Why the savings rate matters most
Spending less does two things at once: you save more each year, and you need a smaller FIRE number. That's why the table under the result moves so fast. Income only matters through the gap between what you earn and what you spend.
Lean, regular and fat FIRE
These are loose labels, not official cutoffs. Lean FIRE means a frugal budget, Fat FIRE a comfortable or generous one. The preset buttons use round numbers to show the difference; replace them with your own spending.
Where the 4% rule comes from
In 1994 financial planner William Bengen tested US stock and bond returns going back to 1926. He asked how much a retiree could take in the first year, then raise each year for inflation, without running out over 30 years in any period he tested. With half to three-quarters in stocks, the answer was about 4%. In 1998 three Trinity University professors (Cooley, Hubbard and Walz) ran a similar test, often called the Trinity study, and reported success rates for different withdrawal rates, time spans and stock/bond mixes.
Dividing spending by 4% is the same as multiplying it by 25. A 3.5% rate means about 28.6×, and 3% means about 33×.
Limits of the 4% rule for early retirees
- It's based on past US returns, one of the strongest markets in history. Future returns may be lower.
- It was tested over 30 years. Retiring at 45 might need the money to last 50 years, which points to a lower rate.
- It ignores fees and taxes. A 1% yearly fee takes a large bite out of a 4% withdrawal.
- It assumes you never cut spending. In practice people who trim spending after a bad year can usually start higher.
Limitations
- Health insurance before Medicare at 65, which can be a large cost for early retirees.
- Social Security, which could lower what you need later on. A lower spending figure can stand in for it.
- Taxes on withdrawals and penalties for taking money from retirement accounts before 59½.
A planning estimate, not financial, tax or investment advice. Every assumption is listed under the result.
Sources
- Bengen, W. P. (1994), Determining Withdrawal Rates Using Historical Data, Journal of Financial Planning (FPA reprint)
- Cooley, Hubbard and Walz (1998), Retirement Savings: Choosing a Withdrawal Rate That Is Sustainable, AAII Journal (the Trinity study)
- U.S. Bureau of Labor Statistics: Consumer Price Index