Dividend growth model: Difference between revisions
imported>Doug Williamson (Updated entry. Source ACT Glossary of terms) |
imported>Doug Williamson (Standardise appearance of page) |
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(DGM). | (DGM). | ||
The Dividend growth model links the value of a firm’s equity and its market cost of equity by modelling the expected future dividends receivable by the shareholders as a constantly growing perpetuity. | The Dividend growth model links the value of a firm’s equity and its market cost of equity by modelling the expected future dividends receivable by the shareholders as a constantly growing perpetuity. | ||
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Expressed as a formula: | Expressed as a formula: | ||
Ke = D<sub>1</sub>/P<sub>0</sub> + g | |||
Ke = D<sub>1</sub> / P<sub>0</sub> + g | |||
''OR (rearranging the formula)'' | ''OR (rearranging the formula)'' | ||
P<sub>0</sub> = D<sub>1</sub>/ | P<sub>0</sub> = D<sub>1</sub> / ( Ke - g ) | ||
Where: | Where: | ||
P<sub>0</sub> = ex-dividend equity value today. | P<sub>0</sub> = ex-dividend equity value today. | ||
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g = constant periodic rate of growth in dividend from Time 1 to infinity. | g = constant periodic rate of growth in dividend from Time 1 to infinity. | ||
This is an application of the general formula for calculating the present value of a growing perpetuity. | This is an application of the general formula for calculating the present value of a growing perpetuity. | ||
'''Example 1''' | |||
Calculating the market <u>value</u> of equity. | |||
Where: | |||
D<sub>1</sub> = expected dividend at Time 1 period hence = $10m | D<sub>1</sub> = expected dividend at Time 1 period hence = $10m. | ||
Ke = cost of equity per period = 10% | Ke = cost of equity per period = 10%. | ||
g = constant periodic rate of growth in dividend from Time 1 to infinity = 2% | g = constant periodic rate of growth in dividend from Time 1 to infinity = 2%. | ||
= | P<sub>0</sub> = D<sub>1</sub> / ( Ke - g ) | ||
= | = 10 / ( 0.10 - 0.02 ) | ||
= 10 / 0.08 | |||
''' | = $125m. | ||
'''Example 2''' | |||
Or alternatively calculating the current market <u>cost of equity</u> using the rearranged formula: | Or alternatively calculating the current market <u>cost of equity</u> using the rearranged formula: | ||
Ke = D<sub>1</sub>/P<sub>0</sub> + g | Ke = D<sub>1</sub> / P<sub>0</sub> + g | ||
Where: | |||
D<sub>1</sub> = expected dividend at Time 1 period hence = $10m. | |||
P<sub>0</sub> = current market value of equity per period = $125m. | |||
g = constant periodic rate of growth in dividend from Time 1 to infinity = 2%. | |||
Ke = | Ke = 10 / 125 + 2% | ||
= | = 10%. | ||
Revision as of 09:37, 28 March 2015
(DGM).
The Dividend growth model links the value of a firm’s equity and its market cost of equity by modelling the expected future dividends receivable by the shareholders as a constantly growing perpetuity.
Its most common uses are:
(1) Estimating the market cost of equity from the current share price; and
(2) Estimating the fair value of equity from a given or assumed cost of equity.
Expressed as a formula:
Ke = D1 / P0 + g
OR (rearranging the formula)
P0 = D1 / ( Ke - g )
Where:
P0 = ex-dividend equity value today.
D1 = expected dividend at Time 1 period hence.
Ke = cost of equity per period.
g = constant periodic rate of growth in dividend from Time 1 to infinity.
This is an application of the general formula for calculating the present value of a growing perpetuity.
Example 1
Calculating the market value of equity.
Where:
D1 = expected dividend at Time 1 period hence = $10m.
Ke = cost of equity per period = 10%.
g = constant periodic rate of growth in dividend from Time 1 to infinity = 2%.
P0 = D1 / ( Ke - g )
= 10 / ( 0.10 - 0.02 )
= 10 / 0.08
= $125m.
Example 2
Or alternatively calculating the current market cost of equity using the rearranged formula:
Ke = D1 / P0 + g
Where:
D1 = expected dividend at Time 1 period hence = $10m.
P0 = current market value of equity per period = $125m.
g = constant periodic rate of growth in dividend from Time 1 to infinity = 2%.
Ke = 10 / 125 + 2%
= 10%.
Also known as the Dividend discount model, the Dividend valuation model or the Gordon growth model.
