Answer:
The cost of equity is "10.00%".
Explanation:
The given values are:
After tax profits,
= $20 million
Number of shares,
= 1 million
Dividend cover ration,
= 4.0
Market capitalization,
= $50 million
Now,
The earning per share (EPS) will be:
= [tex]\frac{After \ tax \ profits}{Number \ of \ shares}[/tex]
On substituting the values, we get
= [tex]\frac{20}{1}[/tex]
= [tex]20[/tex] ($)
The dividend cover ratio = [tex]\frac{EPS}{Dividend \ per \ share}[/tex]
On substituting the given values, we get
⇒ [tex]4.0=\frac{20}{Dividend \ per \ share}[/tex]
⇒ [tex]Dividend \ per \ share=\frac{20}{4}[/tex]
⇒ [tex]=5[/tex] ($)
Market per share price will be:
= [tex]\frac{Market \ capitalization}{Number \ of \ shares}[/tex]
= [tex]\frac{50}{1}[/tex]
= [tex]50[/tex] ($) per share
So,
The cost of equity capital will be:
= [tex][\frac{Expected \ dividend}{Market \ price} ]+Growth \ rate[/tex]
On putting the values in the above formula, we get
= [tex][\frac{5}{50} ]+0.00[/tex]
= [tex]0.1+0.00[/tex]
= [tex]0.1[/tex] i.e., [tex]10.00[/tex]%
