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Investment Calculators

Projections, retirement accounts, and — unusually — what the market actually did, on monthly data going back to 1871.

Every projection on this site rests on one assumed number, so here is the measured one: from 1871 to 2026-07, US large-cap stocks returned 9.39% a year with dividends reinvested, or 7.10% a year after inflation. The real figure is the one worth planning on, because it is what the money can actually buy.

It is also an average across 155 years, and no individual investor gets the average — real 10-year stretches have ranged from -5.92% to 19.96% a year. Figures are before fees and taxes, and cover US large-cap equities only.

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Why an average is the least useful number here

7.10% a year is the headline, and it describes almost nobody’s experience. The spread around it narrows with time but never closes, and the worst cases are what actually break plans:

Held forWorstMedianBestEnded ahead
1 year-58.12%8.85%151.31%69.60%
10 years-5.92%7.02%19.96%89.00%
20 years-0.22%6.83%13.61%99.90%
30 years1.90%6.77%11.15%100.00%

Annualised real returns, dividends reinvested, every start month with a complete window. A decade is not the safe horizon it is usually treated as — the worst one lost 5.92% a year for ten straight years. The rolling returns study has the full distribution.

Every investment calculator

Going deeper

Three studies built on the same data these calculators run on: what holding periods actually returned, whether investing all at once beats spreading it out (usually, but not in the way that matters most), and what inflation does to a sum of money over a long horizon. Each calculator documents its formula and assumptions on a methodology page.

Common questions

What return should I assume when projecting investments?
Across the whole record from 1871 to 2026-07, US large-cap stocks returned 9.39% a year nominally and 7.10% a year after inflation, with dividends reinvested. The real figure is the one that matters, because it is what the money can actually buy. But an average hides the spread: individual decades have ranged from -5.92% to 19.96% a year in real terms.
Which calculator should I start with?
If you are projecting forward, the compound interest calculator is the general tool and the 401(k) calculator is the one that understands employer matching and the contribution limit. If you want to know what returns have actually looked like rather than assuming one, start with the backtest.
Is nominal or real the right number to use?
Real, for anything longer than a few years. A nominal projection tells you the number on the statement; a real one tells you what it buys. The gap compounds — over a working lifetime it is the difference between a figure that looks life-changing and one that is merely comfortable. The inflation calculator measures that gap directly on the same CPI series.
Is the 4% rule safe?
Tested against every complete 30-year retirement since 1871 — 1507 of them — a 4% inflation-adjusted withdrawal from an all-stock portfolio survived 97.9% of the time, and the median retirement ended with 3.17× the starting portfolio. The FIRE calculator shows the full table, including what happens at other rates and over longer retirements.
Do these account for taxes and fees?
No, and each page says so where it matters. Fees in particular are a direct subtraction from the real return — a one-percent annual fee takes roughly a seventh of the long-run real figure above, every year. The capital gains calculator handles the tax side of a sale separately.

US large-cap equities only, before fees and taxes. Historical returns describe what already happened and are not a forecast. Source: Robert J. Shiller, Online Data (shillerdata.com) — S&P Composite, dividends and CPI, monthly from 1871. Estimates for general information only — not financial, tax, or investment advice.