Answer:
Price $17
PE ratio 8.5 times
Explanation:
As per given data
ROE = 20%,
Plowback ratio = b= 0.03,
EPS = $2,
k= 12%
As plowback referr to the retentrion value, deducting its effect from EPS
Dividend= EPS × ( 1 − b ) = $2 × ( 1 −0.03 )= $1.94
Growth = ROE x b = 20% x 0.03 = 0.006 = 0.6%
Using Dividendvaluation method we will calculate the price.
Price = Dividend / (Rate of return - Growth rate )
Price = $1.94 / ( 12% - 0.6% ) = $17
P / E Ratio = Price / EPS = $17 / $2 = 8.5