Answer:
Do = $2.00
D1= Do(1+g)1 = $2(1+0.1)1 = $2.20
D2= Do(1+g)2 = $2(1+0.1)2 = $2.42
PHASE 1
V1 = D1/1+ke + D2/(1+ke)2
V1 = 2.20/(1+0.11) + 2.42/(1+0.11)2
V1 = $1.9820 + $1.9641
V1 = $3.9461
PHASE 2
V2 = DN(1+g)/ (Ke-g )(1+k e)n V2 = $2.42(1+0.03)/(0.11-0.03)(1+0.11)2
V2 = $2.4926/$0.0649
V2 = $38.4068
The current stock price is calculated as follows:
Po = V1 + V2
Po = $3.9461 + $38.4068
Po = $42.35
Explanation: This question relates to valuation of shares with 2-phase growth model. The value of shares in the first phase will be determined by discounting the dividend for the 2 years by cost of equity. The dividends for year 1 and year 2 were obtained by subjecting the current dividend paid (Do) to growth rate.
Moreso, the value of shares for the second phase was calculated by considering the last dividend paid(D2) and then subject it to the new growth rate. The adjusted dividend was then capitalized at the appropriate discount rate of the company.
