What Is the Gordon Growth Model and How Do You Use It?

There are dozens of ways to value a stock, and most of them involve some version of the same fundamental question: what is this stream of future cash flows worth today?

The Gordon Growth Model is one of the most elegant answers to that question — a compact formula that lets you estimate the intrinsic value of a stock based on its expected dividends and a few key assumptions.

It's not the most sophisticated valuation tool. It's not the right tool for every company. But for dividend-paying businesses with stable, predictable growth, it's a remarkably useful starting point — and understanding it deeply will sharpen how you think about valuation broadly.

---

The Formula

The Gordon Growth Model (also called the Gordon-Shapiro Model or the Dividend Discount Model in its constant-growth form) is:

P = D1 / (r − g)

Where:

• P = the intrinsic value (price) of the stock today
• D1 = the expected dividend per share one year from now
• r = the required rate of return (discount rate)
• g = the expected constant growth rate of dividends

That's it. Three inputs, one output.

The model was formalized by Myron Gordon and Eli Shapiro in their 1956 paper "Capital Equipment Analysis: The Required Rate of Profit." It's a simplified application of the present value of a growing perpetuity — a cash stream that grows at a constant rate forever.

The math behind it: if you have a cash flow that starts at D1 and grows at rate g forever, and you discount at rate r, the present value of that infinite stream simplifies to D1 / (r − g). The simplification only holds when r > g (which we'll come back to).

---

A Worked Example

Let's make this concrete.

Suppose a company currently pays an annual dividend of $2.00 per share. You expect the dividend to grow at 5% per year, and you require a 9% return on your investment (based on the risk of the stock and your opportunity cost).

• D1 = $2.00 × 1.05 = $2.10 (next year's expected dividend)
• r = 9% or 0.09
• g = 5% or 0.05

P = $2.10 / (0.09 − 0.05) = $2.10 / 0.04 = $52.50

According to the Gordon Growth Model, this stock has an intrinsic value of $52.50 per share.

If the stock is currently trading at $45, it looks undervalued. If it's trading at $65, it looks overvalued. If it's trading right around $52.50, it's roughly fairly valued given your assumptions.

The model gives you a number to anchor the conversation — a benchmark to compare against the current market price.

---

Breaking Down Each Input

The power and the peril of the Gordon Growth Model both stem from its inputs. Small changes in r or g produce large changes in P. That's worth understanding before you rely on any number the model produces.

D1: Next Year's Expected Dividend

This is usually the easiest input to estimate. If a company has paid a consistent dividend and has a clear payout policy, the next year's dividend is predictable. Take the most recent annual dividend and grow it by the expected growth rate.

Some investors use the current annualized dividend (D0) and adjust: D1 = D0 × (1 + g).

r: The Required Rate of Return

This is where it gets more subjective. Your required rate of return represents the minimum return you need to justify holding this investment given its risk.

A common approach: use the Capital Asset Pricing Model (CAPM) to estimate r.

r = Risk-Free Rate + Beta × (Market Risk Premium)

• The risk-free rate is typically approximated by the yield on a 10-year U.S. Treasury note. As of early 2025, that's been in the range of 4.0–4.5%.
• The historical equity risk premium (market return above the risk-free rate) has typically been estimated in the range of 4–6% depending on the period studied.
• Beta measures the stock's sensitivity to market movements. A beta of 1.0 moves with the market; below 1.0 is less volatile; above 1.0 is more volatile.

For a low-beta utility stock with beta of 0.5, you might get: r = 4.2% + 0.5 × 5% = 6.7%

For a higher-beta consumer cyclical at 1.3 beta: r = 4.2% + 1.3 × 5% = 10.7%

The required return is personal and market-dependent. Different investors use different numbers, which is why the model gives a value, not the value.

g: The Expected Dividend Growth Rate

This is often the most consequential and most uncertain input.

There are several ways to estimate g:

Historical dividend growth rate. Look at how fast dividends have grown over the past 5–10 years. If a company has grown its dividend at 6–7% annually over a decade, that's your baseline.

Sustainable growth rate. A company can only grow its dividend sustainably if its earnings grow. A common formula: g ≈ ROE × Retention Rate. If a company earns a 12% return on equity and retains 40% of earnings (paying out 60% as dividends), the sustainable growth rate is roughly 12% × 0.40 = 4.8%.

Analyst consensus. For well-covered companies, sell-side consensus dividend growth estimates provide a sanity check.

The key constraint: g must be less than r. If you assume dividends grow faster than your discount rate forever, the formula produces a negative denominator and a meaningless result (or infinity). In practice, no company grows faster than the broader economy forever, so g should typically be assumed to converge toward nominal GDP growth in the long run (roughly 3–5% for a mature economy).

---

The Model's Sensitivity: A Warning

Here's the thing investors often miss when first working with the Gordon Growth Model: it is extremely sensitive to small changes in inputs.

Look at what happens in our example if we adjust g slightly:

| g assumption | Intrinsic Value | |---|---| | 3% | $35.00 | | 4% | $42.00 | | 5% | $52.50 | | 6% | $70.00 | | 7% | $105.00 |

A one-percentage-point change in g can swing the estimated value by 30–50%. This is why treating any single model output as a precise valuation target is a mistake. The Gordon Growth Model is a framework for thinking, not a precise calculator.

Use it to develop a range of values under different assumptions, and pay attention to how sensitive the output is to your growth assumption. If a reasonable range of g inputs produces a wide range of valuations, that's telling you the stock's value is highly dependent on the accuracy of your growth forecast — which is itself a reason for caution.

---

When the Gordon Growth Model Works Well

The Gordon Growth Model is at its best for:

Mature, stable dividend payers. Utilities, regulated industries, consumer staples companies with long dividend histories, real estate investment trusts (REITs), and large-cap dividend growers with decades of consistent payouts. These businesses have stable, predictable cash flows and dividend policies that make the constant-growth assumption reasonably defensible.

Businesses with consistent ROE and payout policies. If management has been disciplined and consistent about capital allocation for many years, your growth estimate is more likely to be reliable.

Quick relative valuations. Even if the absolute number isn't precise, you can apply the model consistently across a group of similar companies to identify which ones look cheap or expensive relative to each other under comparable assumptions.

---

When the Gordon Growth Model Fails

There are important situations where the model either can't be used or produces unreliable results:

Non-dividend-paying companies. The model has no denominator when D1 = 0. Technology growth companies, early-stage businesses, and many modern compounders don't pay dividends — the Gordon Growth Model is simply not applicable. You'd need a discounted cash flow (DCF) model instead, working with free cash flow rather than dividends.

Companies with erratic or inconsistent dividend histories. If a company cuts its dividend, suspends it, or grows it at wildly different rates in different years, a single constant-growth assumption will mislead you.

Very high-growth companies. If a company is growing dividends at 15% annually right now, you can't assume that forever. You'd need a two-stage or multi-stage dividend discount model — one that uses a high near-term growth rate for a defined period and then reverts to a sustainable long-run rate.

Companies near financial stress. If there's meaningful risk that dividends could be cut or suspended, the model's clean assumptions break down. Dividend growth models work best when the dividend is durable and reliable.

---

Using It as Part of a Broader Framework

No single model should be the only basis for a valuation decision. The Gordon Growth Model is most useful when combined with:

• Price-to-earnings and price-to-free-cash-flow analysis — to check whether the implied valuation looks reasonable relative to earnings multiples
• Dividend yield history — to see whether the current yield represents cheap or expensive territory relative to the stock's historical range
• Payout ratio analysis — to assess whether current dividend levels are sustainable relative to earnings and free cash flow
• Balance sheet review — because a company with excessive debt may be unable to sustain dividend growth even if current payouts look fine

The Gordon Growth Model gives you a directional value estimate. The surrounding analysis tells you whether to trust the inputs.

---

A Simple Tool With Lasting Value

Despite its simplicity — or perhaps because of it — the Gordon Growth Model remains one of the most widely taught and used valuation tools in finance, more than 70 years after it was first published.

Its longevity isn't an accident. For the right type of company, it captures the essential insight of stock valuation: a stock is worth the present value of all the cash it will return to you. When dividends are stable and predictable, that present value can be estimated simply and usefully.

When they're not — when growth is erratic, dividends are absent, or the business is changing rapidly — you need more complex tools. But understanding the Gordon Growth Model deeply means you understand why more complex models are needed, and what they're trying to solve.

If you're building out your valuation toolkit — learning to move beyond price charts and into genuine business analysis — valueofstock.com is built for that. We walk through valuation frameworks like this one, explain when to use them, and help you think critically about the assumptions you're making when you assign a value to any investment.

Because the goal isn't to find the right formula. It's to develop the judgment to know which formula fits — and to pressure-test your assumptions before your money is on the line.

---

Harper Banks writes about investing fundamentals, valuation models, and financial analysis at valueofstock.com. This post is for educational purposes only and does not constitute investment advice.