How do I use the Gordon Growth Model to value a stock? It seems too simple to actually work.
CFA Level I keeps referencing the Gordon Growth Model (constant growth DDM) for equity valuation. The formula V = D1/(r-g) seems overly simplistic. When does it work well, and when does it break down?
The Gordon Growth Model (GGM) is the simplest form of the dividend discount model, and while it has limitations, it's a cornerstone of equity valuation.
The Formula:
V₀ = D₁ / (r - g)
Where:
- V₀ = Intrinsic value today
- D₁ = Expected dividend next year = D₀ x (1 + g)
- r = Required rate of return
- g = Constant dividend growth rate (must be < r)
Worked Example:
Crestview Pharmaceuticals just paid a dividend of $2.40 (D₀). Dividends are expected to grow at 4% indefinitely. The required return is 10%.
- D₁ = $2.40 x 1.04 = $2.496
- V₀ = $2.496 / (0.10 - 0.04) = $2.496 / 0.06 = $41.60
If Crestview trades at $38, it's undervalued by this model.
When GGM works well:
- Mature, stable companies with predictable dividend growth (utilities, consumer staples)
- Companies with long dividend histories and consistent payout ratios
- Large-cap blue chips with established business models
When GGM breaks down:
- g >= r: The formula produces a negative or infinite value — mathematically impossible for a finite-value asset
- Non-dividend-paying companies: No dividends means D₁ = 0, so V₀ = 0 (obviously wrong for tech companies)
- Cyclical companies: Growth is far from constant
- High-growth companies: A 25% growth rate won't persist forever, violating the "constant" assumption
Sensitivity analysis:
Small changes in g dramatically affect the valuation:
| Growth Rate (g) | V₀ = D₁/(0.10 - g) |
|---|---|
| 3% | $35.71 |
| 4% | $41.60 |
| 5% | $49.92 |
| 6% | $62.40 |
A 1% change in growth from 4% to 5% increases value by 20%! This sensitivity is the model's biggest practical weakness.
For non-constant growth, use the multi-stage DDM:
Forecast dividends individually for high-growth years, then apply GGM to the stable phase terminal value.
Exam tip: The CFA exam often provides g very close to r to test whether you recognize the model becomes unreliable when the denominator is small.
Practice DDM calculations in our CFA Level I question bank.
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