Answer:
$28.125
Explanation:
Dividend D1= $2
(Dividend is given at the end of 1 year)
Growth g= 4% or 0.04
Required Return r = 12% or 0.12
Step1- Share price of company A today
As per Dividend Growth Model
Share price =Expected dividend/(required return - growth rate)
S0 = Do(1+g) / (r-g)
S0 = D1/(r-g)
S0 = 2/(0.12-0.04)
S0 = $25
Therefore share price of company A today for given details will be $25
Step2 - Expected dividend at the end of 3 years
D4=D0(1+g)^4
( as we already have D1 which is one time growth multiplied, therefore to find dividend at the end of 3rd year we will multiply 1 Less growth multiplier to D1)
D4= D1(1+g)^3
D4 = 2(1+0.04)^3
D4 = $2.25
Step3 - Share price of company A in 3 year
Share price =Expected dividend/(required return - growth rate)
S3 = D4/(r-g)
S3 = 2.25/(0.12-0.04)
S3 = $28.125
Therefore share price of company A in 3 years for given details will be $28.125
