Gordon Growth Model Calculator

Use this calculator to calculate the intrinsic value of a dividend-paying stock using the Gordon Growth Model and the Two-Stage Dividend Discount Model. Enter your inputs below to get an instant valuation, sensitivity matrix, and margin of safety estimate.

What Is the Gordon Growth Model?

The Gordon Growth Model (GGM) is a stock valuation method that estimates the intrinsic value of a dividend-paying stock based on three inputs: the expected dividend per share next year, the required rate of return, and the constant dividend growth rate. It belongs to the broader family of Dividend Discount Models (DDM) and is the most widely used single-stage variation.

Developed by economists Myron Gordon and Eli Shapiro, the GGM assumes that a company’s dividends grow at a constant rate indefinitely. Because it applies this constant growth into perpetuity, it does not require a set projection period, making it ideal for mature, stable companies — such as established utilities, consumer staples firms, and dividend aristocrats — rather than high-growth startups.

Unlike complex valuation frameworks, the GGM distills stock value to its most fundamental driver: the cash dividends investors actually receive. This simplicity is both the model’s greatest strength and its primary limitation.

Gordon Growth Model Formula

The Gordon Growth Model formula is:

P = D₁ / (r − g)

Where:

• P = Intrinsic value (fair price) of the stock
• D₁ = Expected dividend per share for next year
• r = Required rate of return (cost of equity)
• g = Constant dividend growth rate (perpetual)

For example, if a stock is expected to pay a $2.10 dividend next year, the investor’s required return is 9%, and dividends are expected to grow at 4% annually forever:

P = $2.10 / (0.09 − 0.04) = $2.10 / 0.05 = $42.00

If the stock currently trades at $36, it appears undervalued by $6.00, suggesting a potential buying opportunity with an embedded margin of safety.

How to Find the Inputs for the GGM Calculator

Before using the calculator, you need three key inputs. Here is exactly where to find them:

Finding D₁ — Expected Dividend Per Share

D₁ is the forward dividend — the dividend you expect the company to pay over the next 12 months. You can find this on Yahoo Finance under the stock’s “Summary” tab labeled as “Forward Dividend.” Alternatively, take the most recent quarterly dividend and multiply by four to annualize it. If the company just raised its dividend to $0.55/quarter, D₁ = $0.55 × 4 = $2.20.

Finding g — The Dividend Growth Rate

There are two methods analysts use to estimate g:

1. Historical Average Method: Calculate the compound annual growth rate (CAGR) of dividends over the past 5 or 10 years. If dividends grew from $1.20 to $1.93 over 10 years, use: g = (1.93/1.20)^(1/10) − 1 ≈ 4.9%. Historical data is available on the company’s investor relations page or on Macrotrends.net.
2. Fundamental (Sustainable Growth) Method: This is the approach preferred by strict fundamental investors: g = ROE × Retention Ratio. For example, a company with 13% Return on Equity that pays out 40% of earnings as dividends retains 60%, yielding: g = 13% × 0.60 = 7.8%. ROE is found on the company’s income statement or financial data platforms. Some analysts argue this forward-looking approach is more accurate than relying on past dividend growth alone.

Finding r — The Required Rate of Return

The required rate of return is most commonly derived using the Capital Asset Pricing Model (CAPM):

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

• Risk-Free Rate: Use the current 10-year U.S. Treasury yield (available at TreasuryDirect.gov or Yahoo Finance under “^TNX”).
• Beta: Find the stock’s Beta on Yahoo Finance under “Statistics.” A Beta of 1.0 means the stock moves with the market; above 1.0 means higher volatility.
• Market Risk Premium: Typically 5%–7% in developed markets (use 6% as a default).

Example: Risk-free rate = 4.3%, Beta = 0.95, Market Risk Premium = 6%
r = 4.3% + 0.95 × 6% = 4.3% + 5.7% = 10.0%

What Happens When the Growth Rate (g) Exceeds the Required Return (r)?

This is one of the most common errors when using the GGM. If g ≥ r, the denominator (r − g) becomes zero or negative, producing an undefined or negative stock value that has no economic meaning.

Example of the breakdown: If r = 8% and g = 10%, then P = D₁ / (0.08 − 0.10) = D₁ / (−0.02), which yields a negative price. This is mathematically impossible for a stock value.

This occurs when you are valuing a high-growth company — such as a fast-expanding technology or biotech firm — whose near-term dividend growth rate exceeds a reasonable long-term discount rate. The GGM is simply the wrong tool for these cases. Use our dividend growth rate calculator for better result

The fix: Use a Two-Stage Dividend Discount Model instead (available in the calculator above). The Two-Stage DDM allows the company to grow at a high rate during an initial phase before settling into a lower, sustainable long-term growth rate. See the full explanation in the next section.

Single-Stage GGM vs. Two-Stage DDM: Which Should You Use?

The GGM is the right tool when you are confident a company’s dividend growth will remain steady and modest — typically at or near the long-term GDP growth rate (2%–5%). If the company is still expanding aggressively, acquiring competitors, or recovering from a downturn, the multi-stage Dividend Discount Model (DDM) will produce a more accurate valuation.

The Two-Stage Dividend Discount Model — Explained

The Two-Stage DDM splits the valuation into two distinct periods:

Stage 1 — High-Growth Phase: Project dividends year by year using the elevated growth rate. Discount each dividend back to present value using the required rate of return.

Stage 2 — Stable-Growth Phase (Terminal Value): After the high-growth period ends, apply the Gordon Growth Model formula to calculate a terminal value at that future point, then discount it back to today.

Formula: Stock Value = Σ [Dₜ / (1 + r)ᵗ] + [D(n+1) / (r − g_stable)] / (1 + r)ⁿ

Two-Stage DDM Example:

A regional bank pays a $3.00 current annual dividend. Analysts expect 8% dividend growth for 5 years, then 4% stable growth in perpetuity. The required return is 10%.

Stage 1 — Present Value of Dividends (Years 1–5):

Stage 2 — Terminal Value:

• Year 6 dividend = $4.41 × 1.04 = $4.587
• Terminal Value = $4.587 / (0.10 − 0.04) = $76.45
• PV of Terminal Value = $76.45 / (1.10)⁵ = $47.48

Total Intrinsic Value = $14.21 + $47.48 = $61.69 per share

If the stock trades at $55.00, it is undervalued by approximately 12%, with a built-in margin of safety.

Applying a Margin of Safety to GGM Valuations

No valuation model is perfectly accurate. Growth rate estimates, future interest rates, and company performance all carry uncertainty. This is why Benjamin Graham’s concept of the margin of safety is critical when using the GGM.

How to apply it: Once you calculate intrinsic value, require the stock to trade at a meaningful discount — typically 15%–30% below — before buying. For example, if GGM produces an intrinsic value of $50, a 20% margin of safety means you would only buy at or below $40.

The sensitivity matrix generated by the calculator above illustrates this beautifully. It shows how your valuation changes when the growth rate (g) or required return (r) shift by ±1% or ±2%. This teaches an important lesson: adjusting the required rate of return by just 1% can shift the final valuation by $20–$30 per share for a mature dividend payer. The margin of safety cushions against these estimation errors.

To determine the intrinsic value with additional methods and cross-validate your GGM result, use our Intrinsic Value Calculator.

Expert Signals: Implied Return and Sustainable Growth Rate

The Implied Return Formula

Wall Street analysts often run the GGM in reverse. Instead of solving for price, they solve for the implied required return the market is pricing in at the current stock price:

r = (D₁ / P₀) + g

Example: A stock trades at $60, its forward dividend is $2.40, and dividends are growing at 4%: r = ($2.40 / $60) + 0.04 = 4% + 4% = 8%. This tells you the market is implying an 8% return. If you require 10%, the stock is overvalued at current prices.

The Sustainable Growth Rate Formula

Rather than relying solely on historical dividend growth, fundamental analysts use:

g = ROE × Retention Ratio

Where Retention Ratio = 1 − Payout Ratio. A company with 15% ROE and a 35% dividend payout ratio retains 65% of earnings, supporting a sustainable growth rate of: g = 15% × 0.65 = 9.75%. Check out dividend payout ratio calculator for more detail result

This metric anchors your growth assumption to economic fundamentals rather than extrapolating the past, making it more reliable for long-term projections.

Understanding the GGM: A Mathematical Perspective

The Gordon Growth Model is derived from the formula for the present value of a growing perpetuity. It calculates the present value of an infinite series of future dividend payments, each growing at a fixed rate g. The mathematical derivation collapses the infinite series into the elegant P = D₁ / (r − g) formula through geometric series convergence — but only when r > g.

This derivation explains why the model behaves so sensitively to small changes in inputs. Because (r − g) sits in the denominator, even a 1% change in either variable creates a disproportionately large change in the output. A stock with r = 9% and g = 6% (denominator = 3%) would see its value double if g rose to 7.5% (denominator = 1.5%). This mathematical sensitivity is why the margin of safety is not optional — it is essential.

The dividend yield (D₁/P₀) is also directly embedded in the GGM. Rearranging the formula: Dividend Yield = r − g. This means a stock’s dividend yield implicitly reflects the market’s expected spread between the required return and the growth rate.

Troubleshooting Your GGM Valuation

Why is my intrinsic value negative?

This happens when g ≥ r. The growth rate you entered is equal to or higher than the required rate of return. Use a lower growth rate, raise your required return assumption, or switch to the Two-Stage DDM tab in the calculator.

Why is my intrinsic value extremely high (e.g., $500+ for a $30 stock)?

This usually means g and r are very close together (e.g., r = 8%, g = 7.5%). A tiny denominator inflates the result. Widen the spread between your return assumption and growth estimate, or apply a larger margin of safety.

Why does my GGM value differ from other calculators?

Most differences come from how D₁ is calculated. Some calculators use the current dividend (D₀), while others use next year’s expected dividend (D₁ = D₀ × (1 + g)). Our calculator uses D₁ — the industry-standard convention.

Can I use GGM for non-dividend-paying stocks?

No. The GGM formula relies entirely on expected future dividends. For companies that reinvest all earnings, analysts use Discounted Cash Flow (DCF) or comparable company analysis instead.

GGM vs. DCF Valuation: Key Differences

The Gordon Growth Model values only the dividends paid to shareholders, while Discounted Cash Flow (DCF) valuation captures all free cash flows generated by the business — including retained earnings reinvested for growth. This makes GGM a more conservative, income-focused tool, while DCF is broader and suits companies at any stage of their life cycle.

For mature dividend companies like utilities or consumer staples, both methods often converge on similar values. When they diverge significantly, it is a signal to investigate whether the company’s dividend payout ratio is sustainable relative to its free cash flow.

You can cross-reference GGM results against fixed income pricing using our amortization calculator to understand how interest rate environments affect your discount rate assumptions.

Financial Statements & GGM: Where to Source Your Data

The inputs for the Gordon Growth Model come directly from a company’s publicly available financial disclosures. The dividend per share is reported in the company’s income statement and press releases, as well as in SEC filings (10-K annual reports and 10-Q quarterly reports). The dividend growth rate can be reconstructed from 5–10 years of historical dividend data available on the investor relations section of any public company’s website or through financial data providers like Macrotrends, TIKR, or Yahoo Finance. The Return on Equity used to calculate sustainable growth is found on the income statement (net income) divided by shareholders’ equity from the balance sheet. Beta — needed for the CAPM cost of equity calculation — is available on Yahoo Finance’s Statistics tab and financial platforms like Bloomberg, FactSet, or Morningstar. Understanding these primary sources allows you to build a GGM with well-grounded assumptions rather than relying on pre-packaged estimates that may not reflect current business conditions.

Advantages and Limitations of the Gordon Growth Model

Key Advantages:

• Simplicity: Only three inputs required, making it fast to apply across many stocks.
• Direct link to shareholder value: Dividends are actual cash flows received, unlike earnings which can be distorted by accounting choices.
• Objectivity: Quantifiable inputs reduce subjective judgment.
• Widely accepted: Used by institutional investors, equity analysts, and academics.

Key Limitations:

• Cannot value non-dividend stocks: Excludes large segments of the market, including most technology companies.
• Requires g < r: Breaks down for high-growth companies.
• Extreme sensitivity: Small input changes produce large valuation swings.
• Assumes rational dividend policy: Real-world dividends reflect signaling, taxes, and management preferences, not just pure value optimization.
• Constant growth assumption: Rarely holds in practice over long periods; business conditions change.

Frequently Asked Questions

What is the formula for the Gordon Growth Model?

The Gordon Growth Model formula is P = D₁ / (r − g). P is the intrinsic value of the stock, D₁ is the expected dividend per share for next year, r is the required rate of return, and g is the constant dividend growth rate.

What happens if the growth rate is higher than the required return in GGM?

The Gordon Growth Model breaks and produces a negative or undefined intrinsic value if the growth rate (g) equals or exceeds the required rate of return (r). This is because the model’s denominator (r − g) becomes zero or negative. In these cases, investors must use a Two-Stage Dividend Discount Model instead.

Can you use the Gordon Growth Model for stocks that don’t pay dividends?

No. The GGM formula relies entirely on expected future dividends. For companies that reinvest all earnings, analysts use Discounted Cash Flow (DCF) or comparable company analysis.

Is the Gordon Growth Model only for dividend stocks?

Yes, by design. The model assumes dividends are the primary source of shareholder value. It is most accurate for stable, mature companies with a consistent dividend history of 10+ years.

What is a good growth rate to use in the GGM?

A sustainable long-term growth rate is typically 2%–5%, anchored near GDP growth plus inflation. Rates above 6–7% are difficult to sustain in perpetuity and should prompt a switch to the Two-Stage DDM.

How does the GGM relate to the Dividend Discount Model?

The GGM is a specific version of the Dividend Discount Model — the constant-growth, single-stage variant. The broader DDM family includes zero-growth, two-stage, three-stage, and H-Model variations. Use the multi-stage Dividend Discount Model (DDM) when a single growth rate is insufficient.

Disclaimer

This calculator and the content on this page are for educational purposes only and do not constitute financial advice. Stock valuation involves significant uncertainty and risk. Always conduct independent research or consult a qualified financial advisor before making investment decisions.