Answer:
The value of the stock at start-up = $67.5
Explanation:
According to the dividend valuation model , the current price of a stock is the present value of the expected future dividends discounted at the required rate of return
This principle can be applied as follows:
The value of stock today is the present value of the future return discounted at the required rate of return
The return can be computed as the ROE × Book value of share
Return = 15%× 30 =4.5
Price of stock today = D× (1+g)/r-g
D= current return, g- growth rate, r-required rate of return
DATA: D= 4.5, g= 5%, r= 12%
PV = 4.5× (1.05)/(0.12-0.05)
= 67.5
The value of the stock at start-up = $67.5