The dividend formulas
Two simple relationships drive everything here. The dividend yield tells you the cash return as a percentage of the price, and the annual income scales that to your holding:
With a dividend growth rate g, the income in year t grows geometrically: incomet = income1 × (1 + g)t−1. Summing that series gives the cumulative dividends collected over the whole horizon: income1 × ((1 + g)years − 1) ÷ g (and simply income1 × years when g = 0).
Worked example
A stock at $50 paying $2.50 per share a year, holding 100 shares with 0% growth over 10 years:
Yield on cost over time
Your yield on cost is the current dividend divided by the price you originally paid — not today's price. A growing dividend lifts it every year, which is why long-term dividend-growth investors can end up with double-digit yields on cost even when the market yield looks ordinary.
| Year | Income at 0% growth | Income at 5% growth |
|---|---|---|
| 1 | $250.00 | $250.00 |
| 3 | $250.00 | $275.63 |
| 5 | $250.00 | $303.88 |
| 10 | $250.00 | $387.83 |