Gordon Growth Model Calculator (Dividend Discount Model)
Calculates the intrinsic value of a share with the Gordon growth model from the last dividend, a constant growth rate and the required return, plus the dividend yield and implied return at the market price.
Things to keep in mind:
- The model assumes dividends grow at a constant rate forever; small changes in the growth rate change the value considerably.
- It is not suitable for companies that pay no or irregular dividends; use the DCF method instead.
- Dividend withholding tax and personal taxes are not modelled.
- The result is not a buy/sell recommendation or investment advice.
Calculator
Result
Enter the values and press Calculate to see the result here.
About this tool
The Gordon growth model is the constant-growth form of the dividend discount model (DDM). It values a share as the present value of dividends assumed to grow at a constant rate forever. It suits mature companies with regular dividends (banks, energy and infrastructure companies, for example).
Formulas
- Next year's dividend D₁ = Last dividend D₀ × (1 + g)
- Intrinsic value P₀ = D₁ / (k − g), with k = required return (cost of equity) and g = dividend growth rate
- Dividend yield at the market price = D₁ / Price
- Implied return = D₁ / Price + g (the expected return the market price offers)
Example: with a last dividend of 2 TRY per share, expected dividend growth of 5% a year and a required return of 15%, D₁ = 2.10 TRY and intrinsic value is 2.10 / (0.15 − 0.05) = 21 TRY. If the share trades at 20 TRY, the dividend yield is 10.5% and the implied return 15.5%; the model value is 5% above the price.
The model is defined only when k > g. You can derive the required return with the CAPM tool. In a high-inflation TRY setting, enter both k and g in nominal terms with the same inflation assumption.
How to use
- Enter the last (annual) gross dividend per share.
- Enter the annual growth rate you expect the dividend to sustain in the long run.
- Enter the required return (cost of equity); the CAPM tool can calculate it.
- Optionally enter the current market price, then press Calculate.
Notes
Dividends are rounded to 4 decimals, value to the cent and ratios to 2 decimals (HALF_UP). If the required return is not above the growth rate, the model is undefined and intrinsic value shows 0. Dividend withholding and other taxes are ignored; the calculation uses gross dividends. Without a market price the price-based ratios show 0.
Sources
Frequently asked questions
P₀ = D₁ / (k − g), where D₁ is next year's expected dividend, k the return investors require and g the constant dividend growth rate.
The formula becomes undefined (infinite or negative value). This shows the constant-growth assumption is unrealistic; use a multi-stage model or DCF.
The annual return an investor buying at today's price earns if dividends grow at the assumed rate: dividend yield plus growth rate.
Common methods are the compound annual growth rate (CAGR) of past dividends or return on equity × retention ratio (ROE × (1 − payout ratio)).
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