Dividend growth model and Pay: Difference between pages

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imported>Doug Williamson
(Make timing of Time 1 future dividend explicit.)
 
imported>Doug Williamson
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(DGM).  
1.  


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.
To discharge a debt by giving or doing something.


Its most common uses are:


(1) Estimating the market <u>cost of equity</u> from the current share price; and
2.


(2) Estimating the fair <u>value</u> of equity from a given or assumed cost of equity.
More specifically to give money in return for goods or services.  
 
 
Expressed as a formula:
 
Ke = D<sub>1</sub> / P<sub>0</sub> + g
 
''OR (rearranging the formula)''
 
P<sub>0</sub> = D<sub>1</sub> / ( Ke - g )
 
 
Where:
 
P<sub>0</sub> = ex-dividend equity value today.
 
D<sub>1</sub> = expected future dividend at Time 1 period later.
 
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 <u>value</u> of equity.
 
 
Where:
 
D<sub>1</sub> = expected dividend at future Time 1 = $10m.
 
Ke = cost of equity per period = 10%.
 
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:
 
Ke = D<sub>1</sub> / P<sub>0</sub> + g
 
 
Where:
 
D<sub>1</sub> = expected future dividend at Time 1 = $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 = 10 / 125 + 2%
 
= 10%.
 
 
Also known as the Dividend discount model, the Dividend valuation model or the Gordon growth model.




== See also ==
== See also ==
* [[CertFMM]]
* [[Debt]]
* [[Cost of equity]]
* [[Pay down]]
* [[Corporate finance]]
* [[Payee]]
* [[Perpetuity]]
* [[Payment]]
* [[Payor]]
* [[Positive pay]]
* [[Reverse positive pay]]


[[Category:Corporate_finance]]
[[Category:Cash_management]]
[[Category:Liquidity_management]]

Latest revision as of 21:17, 1 July 2022

1.

To discharge a debt by giving or doing something.


2.

More specifically to give money in return for goods or services.


See also