Finance & Economics · Valuation · Valuation Models
Gordon Growth Model Calculator
Calculates the intrinsic value of a stock using the Gordon Growth Model (Dividend Discount Model), based on expected dividends, required rate of return, and constant dividend growth rate.
Calculator
Formula
P_0 is the intrinsic (fair) value of the stock today. D_1 is the expected dividend per share in the next period, calculated as D_0 \times (1 + g) where D_0 is the most recently paid dividend. r is the required rate of return (discount rate) on the equity, reflecting the investor's opportunity cost. g is the constant perpetual growth rate of dividends. The model is only valid when r > g.
Source: Gordon, M.J. (1959). Dividends, Earnings, and Stock Prices. The Review of Economics and Statistics, 41(2), 99–105. MIT Press.
How it works
The Gordon Growth Model rests on the principle that a stock's value equals the present value of all dividends it will pay in perpetuity. When dividends are expected to grow at a constant rate g forever, the infinite dividend stream simplifies to a clean closed-form equation. The discount rate r represents the investor's required rate of return — typically estimated using the Capital Asset Pricing Model (CAPM) or a firm's cost of equity from the weighted average cost of capital (WACC) framework. The spread between r and g is the effective capitalization rate applied to next year's dividend.
The formula is P₀ = D₁ / (r − g), where D₁ = D₀ × (1 + g) is the dividend expected one year from now, D₀ is the most recently paid (trailing) dividend, r is the required rate of return expressed as a decimal, and g is the constant perpetual dividend growth rate expressed as a decimal. The model produces a single-point fair value estimate: if the current market price is below P₀, the stock may be undervalued; if above, it may be overvalued. The implied dividend yield output equals r − g, which is a useful sanity check.
Practitioners apply the GGM in several real-world contexts: valuing utility stocks and REITs with stable payout policies, estimating the terminal value in a multi-stage DCF model, benchmarking the cost of equity by rearranging the formula as r = D₁/P₀ + g, and screening dividend growth stocks for income portfolios. Many sell-side equity research reports use GGM-derived terminal values as the anchor for their price targets, making it one of the most widely referenced models in professional finance.
Worked example
Suppose you are analyzing a consumer staples company, StableCo Inc., which paid a dividend of $2.50 per share last year. Analysts expect dividends to grow at a constant rate of 4% per year indefinitely, supported by the company's steady earnings and 60% payout ratio. Using the CAPM, you estimate a required rate of return of 9% for StableCo given its beta of 0.75 and the prevailing risk-free rate.
Step 1 — Calculate D₁: D₁ = $2.50 × (1 + 0.04) = $2.50 × 1.04 = $2.60
Step 2 — Calculate the spread (r − g): 9% − 4% = 5% or 0.05
Step 3 — Calculate intrinsic value P₀: P₀ = $2.60 / 0.05 = $52.00
Interpretation: If StableCo is currently trading at $45.00, it appears undervalued by roughly $7.00 per share according to the GGM. Conversely, if it trades at $60.00, the market may be pricing in a higher growth rate or lower risk than your assumptions reflect. The implied dividend yield equals D₁/P₀ = $2.60/$52.00 = 5.0%, which equals r − g as expected — a useful consistency check.
Limitations & notes
The Gordon Growth Model is powerful in its simplicity but carries important limitations that users must understand. First and most critically, the model requires that the required rate of return r strictly exceed the dividend growth rate g; when g ≥ r, the formula breaks down mathematically and produces a negative or infinite value that has no economic meaning. Second, the model assumes dividends grow at a single constant rate forever, which is unrealistic for high-growth companies, cyclical businesses, or firms in the early stages of their dividend history. For such companies, a multi-stage DDM or a full DCF model is more appropriate. Third, the output is extremely sensitive to the assumed values of r and g — a small change in either parameter can dramatically alter the calculated fair value, so users should always run sensitivity analyses rather than relying on a single point estimate. Fourth, the GGM is only applicable to dividend-paying stocks; it cannot value growth companies that reinvest all earnings and pay no dividends. Fifth, the model assumes the current dividend payout policy is sustainable and that the firm's return on equity and retention rate are stable, which may not hold for companies undergoing restructuring, acquisitions, or significant capital expenditure cycles. Finally, macroeconomic shifts — such as changes in interest rates that alter the risk-free rate — can significantly move the fair value estimate, meaning GGM outputs should be revisited regularly as market conditions evolve.
Frequently asked questions
What is the Gordon Growth Model and when should I use it?
The Gordon Growth Model (GGM) is a stock valuation method that calculates the present value of an infinite stream of dividends growing at a constant rate. It is best suited for mature, dividend-paying companies with a stable and predictable payout history — such as utilities, consumer staples, or large-cap financial firms. Avoid it for high-growth or non-dividend-paying stocks.
What happens if the growth rate is higher than the required return?
If g ≥ r, the denominator (r − g) becomes zero or negative, making the formula mathematically undefined or economically meaningless. In practice, a firm cannot grow its dividends faster than the economy indefinitely. If your inputs produce this condition, consider using a multi-stage DDM where an elevated short-term growth phase eventually converges to a sustainable long-run rate below r.
How do I estimate the dividend growth rate (g) for the model?
Common approaches include averaging the historical dividend growth rate over 5–10 years, using the sustainable growth rate formula g = ROE × Retention Ratio, or referencing analyst consensus estimates for near-term dividend growth. For a conservative long-run estimate, many analysts cap g at the expected nominal GDP growth rate of the economy (roughly 2–5% for developed markets).
How do I find the required rate of return (r)?
The required rate of return is typically estimated using the Capital Asset Pricing Model: r = Risk-Free Rate + Beta × Equity Risk Premium. The risk-free rate is usually the 10-year government bond yield, and the equity risk premium (ERP) is historically around 4–6% for US equities. Alternatively, you can rearrange the GGM itself — if you know the current stock price and dividend — to back out an implied r, which reveals the market's embedded return expectation.
Can the Gordon Growth Model be used to estimate the terminal value in a DCF?
Yes — this is one of the most common applications of the GGM in professional valuation. In a multi-stage DCF, analysts project free cash flows or dividends explicitly for 5–10 years, then apply the Gordon Growth Model to estimate a terminal value at the end of the projection period, assuming cash flows grow at a stable perpetuity rate. This terminal value is then discounted back to the present and added to the sum of discounted near-term cash flows.
Last updated: 2025-01-15 · Formula verified against primary sources.