Answer:
Explanation:
a.)
Dividend discount model(DDM) is used to determine the price of a stock.
The formula is as follows;
Price ;P0 = D1 /(r-g)
D1 = Dividend in year 1
r = capitalization rate or required rate of return
g = dividend growth rate
P0 = 8/( 0.10-0.05)
P0 = 160.
The price of the Fi corporation's stock is therefore $160.
b.)
Use the formula that shows the relationship between ROE , retention rate and growth rate. It's as follows;
g = ROE *b
g = growth rate
b = retention rate
Given Earnings per Share (EPS) = $12 and dividend = $8, find dividend payout ratio first.
retention ratio = (1 -dividend payout ratio)
dividend payout ratio = 8/12 = 0.667 or 66.7%
retention ratio ; b = (1 -0.667)
b = 0.333 or 33.3%
Plug it in the formula;
0.05 = ROE * 0.333
ROE = 0.05/0.333
ROE = 0.15 or 15%
c.)
This question is asking for the Present Value of Growth Opportunity (PVGO)
The formula is as follows;
PVGO = Price - EPS1 /r
Price = $160 (from part a)
Expected earnings per share (EPS) = $12
required rate of return(capitalization rate) ; r = 10% or 0.10 as a decimal
PVGO = 160 - 12/0.10
PVGO = 160 -120
PVGO = $40
Therefore, the market is paying $40 per share for growth opportunities.
