What it simulates
Year by year:
income = shares × dividend per share
new shares = income ÷ share price
Then the price grows by your assumed rate and the dividend by its own. Repeat.
The compounding runs through the share count, which is what makes it different from ordinary interest. More shares produce more dividends, which buy more shares. The effect is slow for the first decade and then stops being slow.
The comparison is the point
A DRIP projection on its own is unfalsifiable — a large number after twenty years, with nothing to judge it against.
So the second row runs the identical holding with dividends taken as cash: same price growth, same dividend growth, income banked rather than reinvested. The difference between the two is the only part of the result that reinvestment is actually responsible for.
That gap is usually smaller than expected over ten years and larger than expected over thirty. Which is the honest shape of the strategy: it is not a clever trick, it is a slow one, and its whole advantage is being left alone.
Yield on your original cost
The last row is the reason long-term dividend investors keep the habit.
A stock bought at $52.40 paying $2.10 yields 4.0% today. If the dividend grows 6% a year for twenty years, it reaches roughly $6.73 — 12.8% on the price you originally paid, before counting any extra shares reinvestment bought.
That number is genuine and frequently misused. It describes a past purchase, not a current opportunity, and it says nothing about whether the capital now sitting in the position is well placed. It is a good reason to hold; it is not a reason to buy more.
Three assumptions that flatter the result
Stated plainly, because all three run the same direction:
- No tax. In a taxable account, dividends are taxed before they can be reinvested, so the real reinvested amount is smaller — often by a quarter or more. In a tax-sheltered account the projection is closer to right.
- The dividend is never cut. Over twenty years, across a single company, that is a strong assumption. One cut partway through changes the ending figure more than a percentage point of growth does.
- Constant growth rates. Prices and dividends do not grow smoothly, and the order matters — the same average with an early decline finishes lower, for the same reason drawdowns are asymmetric.
Treat the output as the shape of the best case. The compounding calculator carries the same warning for the same reason.