Understanding the dividend discount model calculator — concept and principle
This calculator values a share as the present value of its future dividends, using a two-stage dividend discount model: a first stage of higher growth, then stable growth forever. It also shows the single-stage Gordon value for comparison, next year's dividend, the share of value from the terminal value and the upside or downside versus the current price. Use it for valuing dividend-paying stocks, finance courses and testing growth assumptions.
How it is calculated
- Stage 1: D_t = D₀ × (1 + g₁)^t for t = 1 … N, each discounted by (1 + r)^t.
- Terminal value at year N = D_N × (1 + g₂) ÷ (r − g₂), discounted by (1 + r)^N.
- Intrinsic value = PV of stage-1 dividends + PV of the terminal value.
- Single-stage Gordon value = D₀ × (1 + g₂) ÷ (r − g₂).
- Upside = value ÷ price − 1.
The principle
To a shareholder, a share is worth the cash it pays out over time. The Gordon growth model, published by Myron Gordon, shows that a dividend growing at a constant rate g forever, discounted at r, is worth D₁ ÷ (r − g). Many companies grow faster for a while before settling down, so the two-stage model values the early years one by one and then applies Gordon's formula. The result is very sensitive to r − g, and the model only works when the required return exceeds long-term growth.
Worked example
Default inputs: D₀ = $2.40, first-stage growth 8% for 5 years, long-term growth 3%, required return 9%, price $45.
- D₁ = 2.40 × 1.08 ≈ $2.59; dividends rise to D₅ ≈ $3.53.
- PV of stage-1 dividends ≈ $11.67.
- Terminal value at year 5 = 3.53 × 1.03 ÷ (0.09 − 0.03) ≈ $60.53; PV ≈ $39.34.
- Intrinsic value = 11.67 + 39.34 ≈ $51.02; terminal value is 77.1% of it.
- Single-stage Gordon value = 2.40 × 1.03 ÷ 0.06 = $41.20; upside vs $45 ≈ 13.4%.
| Dividend per share over the last 12 months | Intrinsic value per share |
|---|---|
| 0.6 | $12.75 |
| 1.2 | $25.51 |
| 1.8 | $38.26 |
| 2.4 | $51.02 |
| 3 | $63.77 |
| 3.6 | $76.53 |
| 4.8 | $102.04 |
How to read the result
A value above the market price suggests the share may be undervalued under your assumptions, but small changes in r or g₂ move the value a lot. Comparing the two-stage and single-stage values shows how much the faster early growth adds. Use a range of assumptions rather than a single number.
Common mistakes
- Using a long-term growth rate equal to or above the required return.
- Using D₀ in the Gordon formula without growing it to D₁.
- Applying the model to firms that pay little or irregular dividends.
- Treating the result as precise.
Frequently asked questions
What is the Gordon growth model?
A formula valuing a share as D₁ ÷ (r − g) when dividends grow at a constant rate forever.
Why use two stages?
Because many companies grow faster for a period before slowing to a sustainable rate.
What required return should I use?
Your own required return for the stock's risk, often estimated with the capital asset pricing model.
Sources: M. J. Gordon, The Investment, Financing, and Valuation of the Corporation (1962) · J. E. Pinto et al., Equity Asset Valuation, 4th ed. (CFA Institute / Wiley, 2020), Discounted Dividend Valuation