Dividend Discount Model Calculator - Gordon Growth
Estimate intrinsic stock value with the Gordon growth dividend discount model using dividends, growth, and required return.
Enter the current annual dividend and rates as decimals, then see next dividend, Gordon growth value, and an optional future dividend projection.
Dividend Discount Model Calculator - Gordon Growth
Estimate intrinsic stock value with the Gordon growth dividend discount model using dividends, growth, and required return.
About the Gordon Growth Dividend Discount Model
The Gordon growth dividend discount model (DDM) values a stock as a growing perpetuity of dividends. It is most useful for mature companies that pay a cash dividend expected to grow at a roughly constant long-run rate. The dividend discount model calculator implements P₀ = D₁ ÷ (r − g), with D₁ = D₀ × (1 + g). Growth rate g and required return r are entered as decimals: 0.05 for 5% and 0.10 for 10%.
With a $2.00 current dividend, g = 0.05, and r = 0.10, next year’s dividend is $2.10 and intrinsic value is $42.00. The optional years input projects D₀ × (1 + g)^years so you can see a future dividend; it does not switch the model to a multi-stage DDM. Required return must exceed growth or the denominator is zero or negative and the perpetuity has no finite value.
Use Gordon growth as a sanity check on a high-quality dividend payer, to reverse-engineer the growth rate implied by a market price, or to teach the r − g spread. It is a poor fit for non-dividend stocks, cyclical payers, or firms growing faster than the discount rate for a long stretch. Those cases need a two-stage model or a different valuation method.
The model assumes dividends are the relevant cash flow to equity, growth lasts forever, and r is an appropriate equity required return. Inflation, payout changes, and share buybacks are not modeled unless they are already reflected in D₀ and g. Because value is extremely sensitive to r − g, test nearby rates rather than relying on a single $42-style point estimate.
A useful reverse check is to plug in today’s market price as if it were intrinsic value and ask what growth rate the market is implying at your required return. If implied g is far above GDP-plus-inflation, the Gordon growth story is too optimistic. Keep D₀ as the expected recurring annual dividend, not a special extra. The projected dividend for optional years is D₀ compounded at g; it is a path check, not a second valuation identity.
Dividend Discount Model Examples
These worked examples follow the same formula as the calculator and provide a practical way to check your inputs.
| Input | Output | Notes |
|---|---|---|
| D₀ $2.00; g 0.05; r 0.10; years 5 | Intrinsic value $42.00 | D₁ is $2.10. Dividing by a 5-point spread (10% − 5%) gives $42. Year-5 dividend projects to $2.55. |
| D₀ $3.00; g 0.02; r 0.08; years 10 | Intrinsic value $51.00 | A lower 6-point spread on a $3.06 expected dividend produces $51.00 of Gordon growth value. |
| D₀ $1.50; g 0.04; r 0.09; years 8 | Intrinsic value $31.20 | D₁ of $1.56 capitalized at 5% (9% − 4%) is $31.20. |
How to Calculate a Gordon Growth Value
- Enter the current annual dividend D₀ as a dollar amount per share.
- Enter dividend growth g and required return r as decimals (0.05 for 5%, 0.10 for 10%), with r greater than g.
- Optionally enter a whole number of years to project a future dividend.
- Select Calculate Value and review next year’s dividend, Gordon growth value, and the projected dividend.
Dividend Discount Model FAQ
What is the Gordon growth model?
It values a stock as a growing perpetuity of dividends, assuming dividends grow at a constant rate forever. Price equals next year’s dividend divided by required return minus growth.
Why must required return exceed growth?
If growth equals or exceeds required return, the perpetual-growth formula has no finite economic value. The calculator rejects those inputs rather than returning a meaningless price.
Why are rates entered as decimals?
The source formula uses decimal rates: enter 0.05 for 5% and 0.10 for 10%. Entering 5 and 10 would treat growth as 500% and invalidate the model.
When is this model appropriate?
It is most useful for mature dividend-paying companies with sustainable, stable long-term growth. High-growth firms, non-payers, and cyclical cutters need a different valuation approach.