Answer:
a. 6.7%
b. 12.0%
Explanation:
a. DDM
Dividende Discount Method is used to calculate the price of the stock using Dividend, rate of return and growth rate.
Return on equity = [ Dividend x ( 1 + growth rate ) / Price of stock ] + Growth Rate
Return on equity = [ $0.5 x ( 1 + 6% ) / $76 ] + 6%
Return on equity = [ $0.5 x ( 1.06 ) / $76 ] + 0.06
Return on equity = 6.7%
b. SML
Security Market line method uses calculates the cost of capital using following formula
Re = R f + β ( Rm − R f )
Rf = Risk free rate
β = stock beta
Rm = Market rate
Re =Expected rate
Re = 5.9% + 1.20 ( 11% - 5.9% )
Re = 12.02%