Assume the following: The risk-free rate is 2%, the expected return on the market is 7%, and this firm's stock is twice as risky as the market on average. What would be the cost of equity for this firm? A. 12% B. 20% C. 14% D. 8%
Solution :
The Cost of equity of a firm is calculated using the following formula :
Cost of equity = RF + [ β * ( RM - RF ) ]
Where
RF = Risk free rate of return ; β = Beta of the stock; RM = Expected return on the market
As per the information given in the question we have
RF = 2 % ; RM = 7 % ;
β = twice as risky as the market on average = 2 * 1 = 2
( Beta is a measure of risk. The market Beta is = 1 )
Applying the above values in the formula we have
= 2 % + [ 2 * ( 7 % - 2 % ) ]
= 2 % + [ 2 * 5 % ]
= 2 % + 10 % = 12 %
= 12 %
Thus the cost of equity for the firm is = 12 %
Thus the solution is Option A. 12 %
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