H-model
A dividend model in which an above-normal growth rate declines in a straight line to a long-run rate, rather than dropping abruptly. It gives an approximate value in a single expression.
Where you will meet it
H-model appears in 4 learning outcomes on the CFA syllabus. A few of them:
- Use a dividend discount model with several growth stages
“A two-stage model with an abrupt drop in growth is a simplification; an H-model fading growth linearly is often the more plausible shape.”
- Back out a required return from any DDM, including the H-model and the Gordon growth model
“With the H-model, in which growth starts at gS and declines linearly to the long-run rate gL over 2H years, the implied return is r = (D0 ÷ P0) × [(1 + gL) + H × (gS − gL)] + gL.”
- Explain what spreadsheet modelling, the H-model, the two-stage DDM and the three-stage DDM assume, and argue for choosing one to value a firm's shares
“The H-model assumes growth falls in a straight line from a high rate to the stable rate, which fits an advantage that erodes gradually; it is an approximation that works best when the period is short or the gap between rates is small.”
- Value common shares with the H-model, the two-stage DDM and the three-stage DDM, and explain the results
“The H-model captures a linear decline in growth in closed form: V0 = D0 × (1 + gL) ÷ (r − gL) + D0 × H × (gS − gL) ÷ (r − gL), where H is half the length of the decline in years.”
Practise it
Practise h-model until it is automatic: questions that explain every wrong option.
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