Solution:
As per the Dividend growth Model current value of a stock is calculated using the following formula:
P0 = [ D0 * ( 1 + g ) ] / ( ke – g )
Where
P0 = Current value of the stock ; D0 = Recent annual dividend paid ; g = growth rate ;
ke = Rate of return
As per the information given in the question we have ;
D0 = $ 1.25 ; g = 4.5 % = 0.045 ; ke = 11 % = 0.11
Applying the above values in the formula we have
= [ 1.25 * ( 1 + 0.045 ) ] / ( 0.11 – 0.045)
= (1.25 * 1.045 ) / ( 0.11 – 0.045)
= (1.25 * 1.045 ) / 0.065
= 1.306250 / 0.065
= $ 20.096154
= $ 20.10 ( when rounded off to two decimal places )
Thus the current value of Keenan’s stock is = $ 20.10
The solution is Option 4 = 20.10
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