Gordon Growth Model
The Gordon Growth Model says the value of something growing forever equals next year's cash flow divided by (discount rate minus growth rate). It is the formula behind the perpetuity growth method for terminal value in a DCF.
Definition
The Gordon Growth Model (GGM), also known as the Dividend Discount Model for a constant-growth perpetuity, values an asset as the next period's expected cash flow divided by the discount rate minus the long-term growth rate. In investment banking, the GGM is most commonly applied to calculate the terminal value in a discounted cash flow analysis, but it is also used to value dividend-paying stocks directly. The model assumes cash flows grow at a constant rate in perpetuity, which makes it elegantly simple but sensitive to the growth rate assumption.
Formula
Value = CF₁ / (r − g) Terminal Value = FCFₙ × (1 + g) / (WACC − g) Stock Price = D₁ / (Ke − g)
CF₁ / FCFₙ × (1 + g)
Next period's expected cash flow or free cash flow
r / WACC / Ke
Discount rate — WACC for enterprise value, cost of equity for equity value
g
Perpetual growth rate — typically 2-3% (long-term nominal GDP growth)
D₁
Next year's expected dividend per share (for DDM application)
Gordon Growth Model
Terminal value via perpetuity growth
Final Year Free Cash Flow
Perpetual Growth Rate (2-3%)
Weighted Avg Cost of Capital
Growth Rate Sensitivity
Small changes in g have outsized impact on terminal value (WACC = 10%)
Terminal Value Dominance
TV typically represents 60-80% of total DCF enterprise value
The Formula and Intuition
The Gordon Growth Model states: Value = CF₁ / (r − g), where CF₁ is the expected cash flow in the next period, r is the discount rate, and g is the perpetual growth rate. The intuition is that as the growth rate approaches the discount rate, the present value of the infinite stream of cash flows grows exponentially — which is why g must be less than r for the formula to produce a meaningful result. In a DCF, the GGM is applied at the end of the explicit projection period to capture the value of all cash flows beyond that point, producing the terminal value. The terminal growth rate is typically set between 2-3%, in line with long-term nominal GDP growth, because no company can grow faster than the economy forever.
Application in Terminal Value Calculations
When building a DCF model, analysts project explicit free cash flows for 5-10 years and then apply the GGM to calculate terminal value: TV = FCF₍ₙ₊₁₎ / (WACC − g). This terminal value is then discounted back to the present along with the explicit-period cash flows. The terminal value typically represents 60-80% of total enterprise value, which makes the growth rate assumption extremely impactful. Bankers always cross-check the perpetuity growth terminal value against the exit multiple method (applying an EV/EBITDA multiple to terminal-year EBITDA) to ensure the two approaches produce similar results. A large discrepancy signals that one assumption set may be unreasonable.
Dividend Discount Model Application
Beyond terminal value, the GGM can be used standalone to value dividend-paying stocks: Price = D₁ / (Ke − g), where D₁ is next year's expected dividend, Ke is the cost of equity, and g is the long-term dividend growth rate. This is the classic Dividend Discount Model (DDM) in its simplest form. The DDM is most appropriate for mature, stable companies with predictable dividend policies — think utilities, REITs, and large consumer staples companies. For high-growth companies that reinvest all earnings, the DDM is not practical because there are no near-term dividends to discount.
Sensitivity and Limitations
The GGM is highly sensitive to small changes in the growth rate. For example, with a 9% discount rate, changing the growth rate from 2% to 3% increases terminal value by approximately 14%. This sensitivity means the model can be easily manipulated — an analyst bullish on a stock can justify a much higher valuation simply by nudging the growth rate up by 50 basis points. To mitigate this risk, always present a sensitivity analysis showing how the valuation changes across a range of growth rates and discount rates. The GGM also assumes constant growth forever, which is unrealistic for cyclical or rapidly evolving industries.
Worked Example — With Real Numbers
A company's unlevered free cash flow in year 5 (the final projection year) is $200M. Assume a terminal growth rate of 2.5% and a WACC of 9.0%. Terminal Value = $200M × (1 + 0.025) / (0.09 − 0.025) = $205M / 0.065 = $3,154M. Discounted back 5 years at 9%: PV of Terminal Value = $3,154M / (1.09)^5 = $2,050M. If the sum of PV of explicit-period cash flows is $600M, total enterprise value = $600M + $2,050M = $2,650M, with the terminal value representing 77% of the total — a typical proportion.
Key Takeaways
The GGM is the perpetuity growth formula: Value = CF₁ / (r − g) — simple but extraordinarily powerful
The terminal growth rate must be less than the discount rate and should not exceed long-term nominal GDP growth (2-3%)
Terminal value typically represents 60-80% of total DCF enterprise value — always sanity-check it with an exit multiple
Small changes in the growth rate have outsized effects on value — always run a sensitivity table
The model assumes constant perpetual growth, making it best suited for mature, stable businesses
Common Mistakes in Interviews
Setting the terminal growth rate above long-term GDP growth — no company can grow faster than the economy indefinitely
Forgetting to grow the final-year cash flow by (1 + g) to get the next period's cash flow — the formula requires CF in period n+1, not period n
Using real growth rates with nominal discount rates or vice versa — both must be on the same basis
Not cross-checking the GGM terminal value against an exit multiple approach to validate reasonableness
How Interviewers Test This
Interviewers love asking 'How do you calculate terminal value?' You should be able to articulate both the perpetuity growth method (Gordon Growth Model) and the exit multiple method, explain when each is preferred, and know that most bankers use both as a cross-check. A common follow-up: 'What terminal growth rate would you use and why?' Anchor your answer to long-term nominal GDP growth (2-3%) and explain that a higher rate implies the company will eventually become larger than the entire economy.
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