How this calculator works
It applies the S&P 500's actual annual total return — price change plus dividends reinvested — for every year from your chosen start through the end of 2025. The return data comes from Aswath Damodaran's historical returns dataset at NYU Stern, with returns rounded to two decimals; the series here begins in 1980, so that's the earliest start year you can pick. Monthly contributions, if you add them, are dripped in twelve times a year and compound at each year's equivalent monthly rate.
The formula
A is your starting amount and each r is that calendar year's total return as a decimal — some positive (1995: +37.2%), some brutally negative (2008: −36.6%). The annualized return (CAGR) reported in the results is the single steady rate that would have produced the same overall growth.
Worked example
$10,000 invested at the start of 2000 — just before the dot-com crash, the worst entry point in this dataset:
It still grows to about $73,882 by the end of 2025, an annualized return of about 8% over 26 years, despite losing money three years straight (2000–2002) and getting cut by a third in 2008. Start in 1980 instead and the same $10,000 becomes about $1,922,187 — a 12.11% annualized return over 46 years.
Lump sum, dollar-cost averaging, and why dividends matter
Historically, investing a lump sum immediately has beaten spreading it out (dollar-cost averaging) about two-thirds of the time, simply because markets go up more often than down — every month you wait is a month your money sits out. DCA's real value is behavioral: it's the strategy people actually stick with, and it's the only option when you're investing from each paycheck anyway. Use the monthly contribution field to model exactly that.
Also note this calculator uses total return, not the price chart you see on the news. Dividends look small — around 2% a year lately — but reinvested over decades they're enormous: they roughly double the S&P 500's cumulative growth over long horizons. Any "what if I had invested" math that ignores dividends dramatically understates the answer. And the standard caveat genuinely applies: these are historical results, and the next 46 years will not repeat the last 46.