Why two stages beats one growth rate
A single-stage Gordon model forces one growth rate on the whole future. That works for a regulated utility growing 3% forever, but badly undervalues a company that can compound its payout at 8% for a decade before settling down.
The two-stage version separates those periods. You forecast the dividend through the high-growth years explicitly, then value everything after that as a perpetuity growing at the stable rate. The result is almost always higher — and more realistic — than the single-stage equivalent.
Watch the terminal value share. When more than roughly 80% of your answer comes from the perpetuity, the valuation is really just a bet on your stable growth assumption. In that case, run the model with a growth rate one point lower and see how far the fair value falls; that range is your real answer.
Why two stages, not three
The single-stage Gordon Growth Model assumes one growth rate forever, which is honest only for a company whose dividend grows at the same pace as the economy, indefinitely. Most real companies do not. A two-stage model uses one explicit growth rate for a finite high-growth period, then drops to a stable rate that resembles broader economic growth. Three-stage and H-model variants exist, but the second-stage assumption does most of the work and the third stage mostly fine-tunes.
Choose the high-growth period length from the business. A drug company with a strong patent runway might have five to seven years; a fast-growing consumer brand might have a decade before category saturation; a regulated utility has essentially zero high-growth stage. The output is far more sensitive to the second-stage growth rate than to the explicit-period forecast, so spend your judgement there.
Choosing the terminal growth rate
A terminal growth rate above nominal GDP is hard to defend for any single company — eventually the company is part of the economy, not larger than it. In practice 2% to 4% covers most developed-market terminal assumptions, with 3% as a reasonable default. Setting terminal growth equal to or above the discount rate makes the model produce an infinite value and is always wrong.
Where the two-stage breaks
The model still assumes dividends are paid and will keep growing, which excludes the great majority of companies. For non-dividend payers, fall back to a discounted free cash flow model. For companies with erratic or policy-driven dividends, a payout-target approach — forecast earnings and apply a target payout ratio to get the dividend — is more robust than the clean formula here.
Formula
Value = Σ [D₀(1+g₁)ᵗ ÷ (1+r)ᵗ] for t = 1..n + [Dₙ₊₁ ÷ (r − g₂)] ÷ (1+r)ⁿ
FAQ
How is this different from the Gordon Growth model?
The Gordon model applies one growth rate to every future year. The two-stage model applies a higher rate during an explicit forecast period, then switches to a lower stable rate. For companies still expanding, two-stage gives a materially higher and more realistic value.
What stable growth rate should I use?
Something the whole economy can support over decades — 2.5% to 3.5%, roughly long-run nominal GDP growth. A stable rate above 4% implies the company eventually outgrows the economy forever, which is not sustainable and will inflate your valuation.
Why must the required return exceed the growth rate?
The terminal formula divides by (r − g). If growth equals or exceeds the discount rate, the denominator is zero or negative and the math breaks — it implies infinite value. This is a signal your assumptions are too aggressive, not a calculator bug.
What if the company pays no dividend yet?
Then a dividend model is the wrong tool. Use a DCF calculator on free cash flow instead, or model a future dividend initiation by starting with a small dividend and a high first-stage growth rate.
Related calculators
- DCF Calculator — fair value from five years of cash flow plus terminal value
- Dividend Discount Model — Gordon Growth valuation for dividend payers
- Graham Number Calculator — Graham's maximum buy price
- Reverse DCF Calculator — the growth rate today's price already assumes
More calculators
- Compound Interest Calculator — future value with periodic contributions
- DuPont ROE Calculator — break return on equity into its three drivers
- Position Size Calculator — how many shares to buy for a set risk
- CAGR Calculator — compound growth rate and forward projections
- Dividend Yield Calculator — yield, income per $10,000, capital needed
- Payout Ratio Calculator — dividend safety and sustainable growth
- P/E Ratio Calculator — multiple, earnings yield, PEG, target price
- Total Return Calculator — price change plus dividends, annualized
- EV/EBITDA Calculator — enterprise value against operating earnings
- WACC Calculator — weighted average cost of capital for discounting
- EPS Calculator — basic and diluted earnings per share
- P/B Ratio Calculator — price against book value, with ROE context
- Margin of Safety Calculator — discount between value and price
Guides
- How to Value a Stock — the full valuation sequence, with a worked example
- Free Cash Flow Explained — the input every DCF depends on
- Margin of Safety Explained — why the discount is not optional
- Dividend Investing Guide — yield, payout ratio and dividend safety
- How to Read a Cash Flow Statement — three sections, eight combinations
- Intrinsic Value vs Market Price — why the two diverge, and how to behave
- How to Read a Balance Sheet — the asset side, and the four ways it misleads
- What Is a Good P/E Ratio? — the arithmetic behind a justified multiple
- Dividend Yield vs Total Return — why a high yield is not a high return
- How to Compare Two Stocks — a five-axis framework, worked side by side
- WACC Explained — the discount rate, built from five sourced inputs
- The DCF Method Explained — the forecast half of a DCF, and checking the terminal value
- The Graham Number Explained — Graham's ceiling tested on two companies, and what it cannot see