Formula 1: Dividend Yield
The most basic calculation: Dividend Yield = Annual Dividend Per Share ÷ Stock Price. If a stock pays $2.80/year in dividends and trades at $56, the yield is 5.0%. Simple — but which dividend do you use? Trailing twelve months (TTM), most recent quarterly annualized, or forward estimated? Each gives a different answer, sometimes by 15-25%.
Three ways to calculate dividend yield and when each applies
| Dividend Measure | Formula | Example (Stock at $56) | Use When |
|---|---|---|---|
| Trailing yield | TTM dividends ÷ price | $2.64 ÷ $56 = 4.71% | Historical comparison |
| Forward yield | (Next quarter × 4) ÷ price | $2.80 ÷ $56 = 5.00% | Income projection |
| Yield on cost | Annual dividend ÷ original cost | $2.80 ÷ $40 = 7.00% | Existing position analysis |
Formula 2: Dividend Income Without DRIP
Annual Income = Shares × Annual Dividend Per Share. With 300 shares of a stock paying $3.20/year: 300 × $3.20 = $960/year. If dividends grow at 4% annually and you don’t reinvest, income in year 10 is $960 × (1.04)^10 = $1,422. Straightforward — the number of shares never changes.
Formula 3: DRIP Compounding (The Complex One)
With DRIP, shares increase each period. The compounding formula requires iteration because new shares earn dividends that buy more shares. Most calculators run this quarterly:
New Shares = (Shares × Quarterly Dividend) ÷ Stock Price. Then: Total Shares = Old Shares + New Shares. Repeat every quarter for the projection period. For 300 shares at $56 with $0.80/quarter dividend: new shares = (300 × $0.80) ÷ $56 = 4.29 new shares. Quarter 2 starts with 304.29 shares, and so on.
Running DRIP quarterly instead of annually increases the effective compound rate because you’re buying more shares sooner. On a $100,000 portfolio at 5% yield, quarterly compounding produces $182 more in year one alone compared to annual compounding.
Formula 4: Yield on Cost
Yield on Cost = Current Annual Dividend Per Share ÷ Original Purchase Price. If you bought 500 shares at $30 ten years ago and the dividend has grown from $1.20 to $2.40, your yield-on-cost is $2.40 ÷ $30 = 8.0% — even though the stock now trades at $65 (making its current yield only 3.7%). Yield-on-cost reveals the true return on your original capital.
Yield on cost expansion: 5% annual dividend growth from $1.20 starting DPS
| Year | Purchase Price | Annual DPS | Current Yield | Yield on Cost |
|---|---|---|---|---|
| 0 (purchase) | $30.00 | $1.20 | 4.0% | 4.0% |
| 5 | $42.00 | $1.58 | 3.8% | 5.3% |
| 10 | $65.00 | $2.40 | 3.7% | 8.0% |
| 15 | $88.00 | $3.47 | 3.9% | 11.6% |
| 20 | $119.00 | $5.03 | 4.2% | 16.8% |
Formula 5: Total Return
Total Return = Price Appreciation + Dividends Received (Reinvested). A stock bought at $40 now at $65 with $12 in cumulative dividends has a total return of ($65 - $40 + $12) ÷ $40 = 92.5%. With DRIP, each reinvested dividend also appreciated — making the true total return higher than this simple formula suggests.
The Payout Ratio: Can the Dividend Be Sustained?
Payout Ratio = Dividends Per Share ÷ Earnings Per Share. A company earning $4.00/share paying $2.40 in dividends has a 60% payout ratio — generally healthy. The same company paying $3.60 has a 90% ratio — fragile. For REITs, use Funds From Operations (FFO) instead of EPS because depreciation distorts REIT earnings.
Apply the Formulas to Your Own Portfolio
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