FINM7006 Chap.6 Dividend Valuation Models
Dividend Valuation Models
Share value is the present value of expected future cash flows, but the forecast shape determines the model. A level dividend supports a no-growth perpetuity, stable growth supports the Gordon model, and a changing growth path requires explicit dividends plus a terminal value.
This chapter keeps the next-dividend numerator, stable-growth condition and terminal-value date visible, then separates mechanical accuracy from the harder question of whether the forecast fits the claim.
What this chapter covers
- 01
Dividends and future sale prices
- 02
Level-dividend perpetuity
- 03
Constant-growth Gordon model
- 04
Multi-stage dividend forecasts
- 05
Terminal-value timing
- 06
Required-return and growth sensitivity
Worked example · free
Value a transition to stable dividend growth
- +2Forecast: D1 = $2.24, D2 = $2.5088 and D3 = $2.609152.
- +1Terminal value: P2 = $2.609152/(0.10 - 0.04) = $43.4859.
- +2Discount: P0 = $2.24/1.10 + ($2.5088 + $43.4859)/(1.10)2.
- +1Answer: value is $40.05, conditional on the growth and return assumptions.
Key terms
- Gordon model
- The Gordon model values dividends that grow forever at one stable rate below required return.
- Terminal value
- Terminal value represents all cash flows after an explicit forecast period at the transition boundary.
- Stable growth
- Stable growth is a perpetual dividend rate that the long-run cash-flow model can economically sustain.
- Required return
- Required return is the risk-consistent rate used to discount expected shareholder cash flows.
Dividend Valuation Models FAQ
Why does the Gordon model use next year's dividend?
The value is measured immediately before the next dividend stream begins, so the numerator must be the first future payment. If the question gives a dividend just paid, grow it once to obtain the next dividend. Using the old payment misses one growth step and understates value.
Where does terminal value sit in a multi-stage model?
It sits one period before the first dividend governed by stable growth. If stable growth begins with the year-three dividend, terminal value is at time two. Discounting it from time three adds an extra period and understates value. Label the terminal-value subscript before calculating.
What does it mean if growth is above required return forever?
The constant-growth denominator becomes zero or negative, so the perpetual model no longer gives a meaningful finite value. Temporary high growth can still be forecast explicitly. The repair is to transition to a defensible stable rate below required return, not to force the perpetual equation through inconsistent assumptions.
Exam move
Draw a three-branch decision tree for level, stable-growth and multi-stage dividends. For each branch, state which dividend enters the numerator and where the result is located. Rebuild one multi-stage example from dates rather than memorising a combined formula. Then change required return and stable growth separately and explain the value direction.
Finish by asking whether the claim's dividend pattern actually supports the chosen model, especially for preference versus ordinary shares. Begin with a dividend date strip labelled D0, D1, D2 and onward. If the most recent dividend is supplied, forecast D1 before using a forward-looking model; if D1 is already given, do not grow it again.
For a level preference dividend, connect the claim to an ordinary perpetuity and place the value one period before the first payment. For constant growth, write the condition that required return exceeds perpetual growth and explain why the expression becomes unstable as the two inputs converge.
Rehearse the Gordon relationship in three directions: solve for value, infer the required return from dividend yield plus growth, and infer growth when value and return are supplied. Each rearrangement provides a check on the others. Multi-stage problems should be constructed from parts.
Forecast each explicit dividend separately, calculate terminal value at the end of the explicit stage using the next dividend, and discount every amount to today. Draw a box around the terminal value's date before discounting; most one-period errors originate there. Create a sensitivity table with required return down one side and stable growth across the top.
Observe which input increases value, which reduces it, and why the denominator drives large changes. Treat that sensitivity as a reason to report assumptions rather than as proof that one estimate is correct. Compare the model with the claim. A mature preference share with fixed distributions may fit a level stream, while an ordinary share with irregular payout or no dividend may not support a simple dividend model.
In final revision, perform one level, one constant-growth and one two-stage valuation without notes. Require a timeline, a model-choice sentence, the value and a limitation. Record errors under dividend timing, terminal-value location, incompatible growth or return, discounting, and claim mismatch. Rework only the failed category with fresh numbers the following day.
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