How compound interest works
Compound interest means earning on what you have already earned. What your money earns in one year is added to what you had, and next year it earns too. At first you barely notice; over the years, the part that grows on its own ends up bigger than the part you put in.
this month's balance = last month's balance × (1 + this month's interest) + what you set aside
The monthly interest is not the yearly return divided by twelve, but the rate that, repeated twelve times, gives the yearly one: with 10% a year, 0.80% a month.
Why look back with real years
Almost every calculator uses a fixed average, as if the market rose the same amount every year. It doesn't: there are years up more than 30% and years down more than 30%. With real years you see what it truly costs to hold on, and that the order of the bad years changes the result.
Frequently asked questions
What is the difference between simple and compound interest?
With simple interest you only earn on what you put in at the start, and you earn the same every year. With compound interest what you earned is added in and earns too, so each year you earn a bit more than the last.
Why do fees matter so much?
Because they are charged every year on everything you have built up, not just on what you put in. Compare two paths above and see it with your own numbers.
Assumptions and sources
Annual S&P 500 returns with dividends: Aswath Damodaran (NYU Stern), Historical Returns on Stocks, Bonds and Bills: 1928-2025, updated January 2026. It is the history of a single market, in dollars, before fees and taxes.
Educational content. The calculations are examples with simplified assumptions, not a promise of returns or financial advice: we don't tell you what to buy. Before investing, get properly informed or talk to a professional.
