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Dividend Discount Model Calculator

Estimate a dividend-paying stock's intrinsic value with the constant-growth Dividend Discount Model, ROE-based growth, and CAPM cost of equity.

Published

DDM stock value
Estimated value per share
$60.00
Expected dividend
$3.00
Cost of equity
9%
Dividend growth rate
4%
Discount spread
5%

$3.00 next dividend capitalized at a 5% spread gives a DDM value of $60.00.

The next annual dividend expected for one share.
$
Growth rate source
%
Cost of equity source
%

Results update as you type.

Dividend Discount Model Calculator

The Dividend Discount Model Calculator estimates the value of a dividend-paying stock from the next expected dividend, a long-run dividend growth assumption, and the cost of equity. It uses the constant-growth Dividend Discount Model, also called the Gordon growth model. The page URL intentionally keeps the existing misspelled slug, divdend-discount-model, but the finance topic is the Dividend Discount Model.

This calculator is intentionally narrow: it values equity by capitalizing future dividends, not by projecting revenue, EBITDA, free cash flow, or book value. That makes it useful when dividends are central to the investment case. Utilities, banks, insurers, REIT-like businesses, and mature consumer companies are often better candidates than early-stage technology firms or companies that retain all earnings. If you are comparing reinvestment-heavy companies, the compound interest calculator, present value annuity calculator, and interest calculator can help you separate return, discounting, and growth assumptions before relying on a dividend model.

How the calculator matches the form

The form starts with expected dividend per share, which is treated as the next annual dividend. You then choose a dividend growth source. With Direct, the growth rate is exactly the percentage you type. With ROE × retention, growth is return on equity multiplied by the share of earnings not paid as dividends. Because the form asks for dividend payout ratio, retention is calculated as 100 minus the payout ratio.

You also choose a cost of equity source. With Direct, the cost of equity is the percentage you type. With CAPM, the calculator adds the risk-free rate to beta multiplied by the market risk premium. It then subtracts dividend growth from cost of equity. If that spread is zero or negative, the result panel warns that the constant-growth DDM cannot produce a sensible finite value. If the spread is positive, value per share equals the expected dividend divided by the spread expressed as a decimal.

Formula

For direct inputs, the calculator applies:

DDM value per share=next dividend per sharecost of equitydividend growth rate\text{DDM value per share} = \frac{\text{next dividend per share}}{\text{cost of equity} - \text{dividend growth rate}}

When growth is estimated from profitability and payout policy:

dividend growth rate=return on equity×100%dividend payout ratio100%\text{dividend growth rate} = \text{return on equity} \times \frac{100\% - \text{dividend payout ratio}}{100\%}

When cost of equity is estimated with CAPM:

cost of equity=risk-free rate+β×market risk premium\text{cost of equity} = \text{risk-free rate} + \beta \times \text{market risk premium}

The calculation stores rates as percentages and then divides the final spread by 100 before capitalizing the dividend. That is why a 5 percent spread becomes 0.05 in the denominator.

Worked example using the default direct inputs

The default dividend is $3.00 per share. The direct dividend growth rate is 4%, and the direct cost of equity is 9%. The discount spread is therefore 9% minus 4%, or 5%.

DDM value per share=$3.005%=$3.000.05=$60.00\text{DDM value per share} = \frac{\$3.00}{5\%} = \frac{\$3.00}{0.05} = \$60.00

The result panel reports $60.00 as the estimated value per share, lists the expected dividend, cost of equity, dividend growth rate, and discount spread, and copies the same calculation as: DDM value equals $3.00 divided by 9% minus 4%. If you switch to the ROE option with the defaults, growth becomes 10% times 40%, or 4%, because the dividend payout ratio is 60%. If you switch to the CAPM option with the defaults, cost of equity becomes 4% plus 1.0 times 5%, or 9%. In other words, the alternate defaults intentionally reproduce the direct example.

How analysts use DDM

DDM turns a dividend thesis into a price discipline. If the market price is far above the model value, the investor must believe dividends will grow faster, risk is lower, or a different valuation method is more appropriate. If the market price is far below the model value, the investor should ask whether the dividend is sustainable, whether the risk premium is too low, or whether the company faces a cut. The model is especially useful for sensitivity analysis because small changes in growth or required return can move the value sharply.

For example, keeping the dividend at $3.00 and cost of equity at 9%, increasing growth from 4% to 5% changes the spread from 5% to 4% and raises value from $60.00 to $75.00. Lowering growth to 3% widens the spread to 6% and lowers value to $50.00. That sensitivity is not a bug; it is the point of a perpetual growth model. It forces the user to defend a long-run assumption.

Caveats before relying on the result

The model assumes dividends grow at one constant rate forever. That is rarely literally true. A business can have a few years of elevated growth, a later mature phase, and a stress period when dividends pause. A multi-stage DDM may handle those patterns better. The model also ignores buybacks unless they influence future dividends, and it does not test whether earnings, capital requirements, or regulation support the payout. For banks and insurers, regulatory capital can matter as much as earnings growth. For cyclical companies, using a peak-year dividend can overstate value.

Treat the output as an intrinsic value estimate conditional on your inputs, not as a trading signal. Compare it with dividend yield, payout ratio, leverage, and broader valuation work. If you are using the CAPM option, remember that beta and market risk premium are estimates, not facts. If you are using ROE growth, verify that the company can reinvest retained earnings at that ROE without taking excessive risk.

Sources

Frequently asked questions

What does this Dividend Discount Model calculator value?
It values one share from the next expected dividend, a long-run dividend growth rate, and the investor's required return. The result is a constant-growth estimate, not a market forecast, so it is most useful for mature dividend payers with stable payout policies.
Why must cost of equity be higher than dividend growth?
The constant-growth formula needs a positive spread between required return and growth. If growth equals or exceeds cost of equity, the denominator is zero or negative and the model cannot produce a finite economic value. The calculator flags that case instead of forcing a misleading price.
What dividend should I enter?
Enter the next annual dividend per share expected over the coming year, not necessarily the last dividend already paid. If a company pays quarterly, annualize the next expected quarterly payment only when that run rate is realistic. One-time special dividends usually should be excluded.
How does the ROE growth option work?
When ROE growth is selected, the calculator multiplies return on equity by the retained earnings share. Because the input is dividend payout ratio, retained share is one minus the payout ratio. A high payout leaves less reinvestment, so the implied sustainable dividend growth rate falls.
How does the CAPM cost of equity option work?
When CAPM is selected, cost of equity equals the risk-free rate plus beta times the market risk premium. A higher beta raises the required return, widens the discount spread if growth is unchanged, and lowers the DDM value because investors demand more compensation for risk.
When is DDM a poor fit?
DDM is weak for companies that do not pay dividends, firms with unstable or highly cyclical payouts, distressed companies, and high-growth businesses whose dividends cannot reasonably grow at one constant rate forever. In those cases, use a multi-stage model or cash-flow approach.

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