Dividend Discount Model Calculator

Enter your dividends per share, discount rate, and expected dividend growth rate to calculate a stock's intrinsic value using the Gordon Growth (DDM) model.

Created by Luis GonzalezLast updated: June 22, 2026

How to Use This Calculator

1
Enter Dividends per Share (D0)
Input the most recent annual dividend paid per share. This is the base dividend before applying the growth rate.
2
Enter Discount Rate (r)
Provide your required rate of return (e.g., 3.25%). Must exceed the dividend growth rate for the model to work.
3
Enter Dividend Growth Rate (g)
Input the expected constant annual growth rate for dividends (e.g., 2.75%). Must be lower than the discount rate.
4
Review your results
See the Intrinsic Stock Value, Next Year Dividend (D1), Implied Dividend Yield, Rate Spread, Price-to-Dividend Ratio, and Cumulative 10-Year Dividends. The Insights panel shows earnings multiple, 10-year dividend recovery, and sensitivity analysis.

Example Calculation

An investor is evaluating a stock that recently paid a $1.50 dividend, expects a 2.75% dividend growth rate, and requires a 3.25% return.

Dividends per Share (D0)

$1.50

Discount Rate (r)

3.25%

Dividend Growth Rate (g)

2.75%

Results

Intrinsic Stock Value

$308.25

Next Year Dividend (D1)

$1.5413

Implied Dividend Yield

0.50%

Rate Spread (r - g)

0.50%

Price-to-Dividend Ratio

200.0

Cumulative 10-Year Dividends

$17.00

Tips

Monitor the 'r-g' Spread

The difference between your discount rate (r) and the dividend growth rate (g) is crucial. A spread of only 0.50% (like in this example) means the valuation is extremely sensitive — a 0.25% change in either rate could shift the value by 50% or more.

Re-evaluate Growth Assumptions

If the calculated intrinsic value seems unusually high (e.g., $308 for a $1.50 dividend), your growth rate may be too close to the discount rate. Mature companies typically grow dividends at 2-4%, so ensure your inputs reflect realistic expectations.

Consider the CAPM for Discount Rate

Estimate your discount rate using the Capital Asset Pricing Model: Risk-Free Rate + Beta × (Market Return - Risk-Free Rate). A common equity risk premium is 4-6% in 2026, so typical discount rates range from 6-10% for most equities.

Use 10-Year Dividend Recovery as a Sanity Check

If cumulative 10-year dividends recover less than 10% of intrinsic value, the valuation relies heavily on far-future dividends. Consider whether the company can realistically sustain constant growth for decades.

Estimating Fair Stock Value with the Dividend Discount Model

The Dividend Discount Model (DDM) Calculator helps investors determine a stock's intrinsic value by projecting and discounting its future dividend payments. Using the Gordon Growth Model, it calculates that a stock paying $1.50 in dividends with 2.75% growth and a 3.25% required return has an intrinsic value of $308.25. This approach is fundamental for value investors in 2026 who focus on income-generating assets and want to identify undervalued dividend stocks.

Why Intrinsic Value Matters for Dividend Stocks

Understanding a dividend stock's intrinsic value is crucial because it provides a benchmark independent of market sentiment. While market prices fluctuate daily due to supply and demand, the intrinsic value represents a company's true worth based on its fundamental ability to generate and distribute cash to shareholders. This helps investors avoid overpaying for an asset, especially when market irrationality drives prices to unsustainable highs. It also helps identify potentially undervalued opportunities, guiding more disciplined investment decisions.

The Gordon Growth Model for Stock Valuation

The Dividend Discount Model, implemented using the Gordon Growth Model (GGM), calculates intrinsic value by taking the next expected annual dividend (D1) and dividing it by the difference between the required rate of return (r) and the constant dividend growth rate (g).

D1 = D0 × (1 + g)
Intrinsic Value = D1 / (r - g)
Implied Dividend Yield = D1 / Intrinsic Value = (r - g)
Price-to-Dividend Ratio = Intrinsic Value / D1 = 1 / (r - g)
Cumulative 10-Year Dividends = D0 × ((1 + g)^10 - 1) / g

Here, D0 is the most recent dividend, D1 is the dividend expected next year, r is your required rate of return, and g is the constant dividend growth rate.

💡 If you're projecting the value of a broader portfolio, our Future Investment Value Calculator can help estimate its future worth based on different growth assumptions.

Valuing a Dividend Stock with a Worked Example

Consider an investor evaluating a utility company's stock. The company recently paid an annual dividend of $1.50 per share (D0). The investor estimates the dividend will grow at a constant rate of 2.75% annually (g) and requires a 3.25% rate of return (r).

Calculate the next year's dividend (D1): D1 = $1.50 × (1 + 0.0275) = $1.50 × 1.0275 = $1.5413
Determine the spread (r - g): Spread = 0.0325 - 0.0275 = 0.005 (0.50%)
Calculate the Intrinsic Stock Value: Intrinsic Value = $1.5413 / 0.005 = $308.25
Implied Dividend Yield: Yield = $1.5413 / $308.25 = 0.50%
Price-to-Dividend Ratio: P/D = $308.25 / $1.5413 = 200.0
Cumulative 10-Year Dividends: 10-Year = $1.50 × ((1.0275^10 - 1) / 0.0275) = $17.00

The intrinsic value of $308.25 is driven by the narrow 0.50% spread. The 10-year cumulative dividends of $17.00 represent only 5.5% of the intrinsic value, meaning most value comes from dividends projected far into the future.

💡 To explore how variable contributions affect long-term growth, our Future Value Calculator with Variable Contributions can model scenarios with changing inputs.

DDM Sensitivity in Market Context

The Dividend Discount Model is highly sensitive to its inputs, particularly the r-g spread. With a spread of only 0.50% (as in our example), the valuation is extremely volatile:

If growth increases by 0.25% to 3.00%, intrinsic value jumps to $616.50 — a 100% increase
If growth decreases by 0.25% to 2.50%, intrinsic value drops to $205.00 — a 33% decrease
If the discount rate increases by 0.50% to 3.75%, intrinsic value drops to $154.13 — a 50% decrease

A healthy r-g spread typically ranges from 2-4% for most equities. The narrow 0.50% spread in this example is common only for very stable, low-risk securities like utility companies or mature REITs where both rates are low and close together.

The Genesis of the Gordon Growth Model

The Dividend Discount Model is most famously attributed to Myron J. Gordon, who published his work in the late 1950s. His seminal work, "The Investment, Financing, and Valuation of the Corporation" (1962), established the Gordon Growth Model as a cornerstone of dividend valuation theory. It became standard because it provided a relatively simple, yet theoretically sound, method for valuing companies whose dividend policies were predictable and stable, especially in an era when dividends were a more significant component of total shareholder returns than they are for many growth-oriented companies today.

Frequently Asked Questions

What is the Dividend Discount Model (DDM)?

The Dividend Discount Model (DDM) is a valuation method that estimates a stock's intrinsic value based on the present value of its future dividend payments. Using the Gordon Growth Model formula (V = D1 / (r - g)), it assumes dividends grow at a constant rate indefinitely and calculates what those future cash flows are worth today.

Why must the discount rate be higher than the dividend growth rate?

The discount rate (r) must exceed the growth rate (g) for the formula to produce a finite, positive value. If g equals or exceeds r, the denominator (r - g) becomes zero or negative, implying infinite or undefined value — which is economically impossible. A positive spread is mathematically required.

What are the limitations of the DDM?

The DDM assumes constant dividend growth indefinitely, which rarely holds in practice. It's unsuitable for companies that don't pay dividends, have erratic dividend policies, or are in early growth stages. The model is also extremely sensitive to the r-g spread — with a 0.50% spread, small input changes cause large valuation swings.

How does the price-to-dividend ratio relate to DDM?

The price-to-dividend ratio equals the intrinsic value divided by the next year's dividend (D1). In DDM terms, it equals 1/(r-g). With r=3.25% and g=2.75%, the ratio is 1/0.005 = 200, meaning you pay $200 for every $1 of expected dividend. High ratios indicate narrow spreads and growth-oriented valuations.

What does the implied dividend yield tell investors?

The implied dividend yield is D1 divided by intrinsic value, which in the DDM always equals (r-g). In our example, yield = 0.50%, which is the spread itself. A low implied yield suggests the stock's value comes primarily from expected dividend growth rather than current income.