🎓 Prepared by students from Boğaziçi University

What is the Dividend Discount Model?

The Dividend Discount Model (DDM) is a stock valuation method that calculates a company's share price based on the present value of its future dividend payments. It is widely used by income-focused investors to value dividend-paying stocks.

Short answer

The Dividend Discount Model values a stock by discounting future dividends to present value using the formula P = D₁/(r−g), where D₁ is next year's dividend, r is required return, and g is dividend growth rate.

Future Dividends Discounted to Present Value
22110
x: Year · y: Dividend ValueUndiscounted dividendsDiscounted to present
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Try it: interactive calculator

Stock price (intrinsic value)
0.29currency
= 2 / (10 - 3)
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Step-by-step worked examples

A stock pays a current dividend of $2/share, expected to grow at 3% annually. Required return is 10%. What is the stock's intrinsic value?

D₁ = D₀ × (1 + g) = $2 × 1.03 = $2.06
P = D₁ / (r − g) = $2.06 / (0.10 − 0.03) = $2.06 / 0.07 = $29.43

XYZ Corp pays $1.50 dividend per share next year. Investors demand 12% return, with 4% dividend growth expected. Value the stock.

P = D₁ / (r − g) = $1.50 / (0.12 − 0.04) = $1.50 / 0.08 = $18.75

A dividend stock costs $50, pays $2.50 next dividend, with 5% growth. Is the required return 8% or higher?

r = (D₁ / P) + g = ($2.50 / $50) + 0.05 = 0.05 + 0.05 = 0.10 = 10%
So required return is 10%, which is higher than 8%.
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Flashcards

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Quick quiz

Q1.A stock with D₁ = $3, r = 12%, g = 4%. DDM price?

Correct answer: B. P = $3 / (0.12 − 0.04) = $3 / 0.08 = $37.50

Q2.In DDM, what must always be true?

Correct answer: A. Required return must exceed growth rate or the formula gives negative/infinite values.

Q3.If dividends are expected to grow at 5% forever and required return is 8%, what is r − g?

Correct answer: B. r − g = 8% − 5% = 3%.

Q4.DDM assumes dividends grow at a constant rate. This is called…

Correct answer: A. The constant-growth DDM is also called the Gordon Growth Model.
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Common mistakes

Using current dividend D₀ instead of next dividend D₁.Correct: DDM uses D₁ (next year's dividend), not D₀ (most recent paid).

Ignoring that g must be less than r.Correct: If g ≥ r, the model fails — growth can't exceed required return forever.

Assuming dividend growth remains constant forever.Correct: Most real stocks have two-stage or multi-stage growth; constant growth is simplification.

Confusing growth rate with stock price growth.Correct: Growth rate is for dividends only; stock price changes are separate.

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FAQ

What is the Dividend Discount Model formula?

P = D₁/(r−g), calculating intrinsic stock price from next dividend, required return, and growth rate.

Why is DDM useful for dividend-paying stocks?

It values stocks based on actual cash returns to shareholders — ideal for income-focused investors.

What if a company doesn't pay dividends?

DDM doesn't work; use DCF (free cash flow) or P/E multiples instead.

How sensitive is DDM to growth rate assumptions?

Very — small changes in g or r significantly alter the calculated price. Use conservative estimates.

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