TSM currently has 0.3 payout ratio for dividends. The company has ROE of 15% and required return of 12%. If the company increase the payout ratio to 0.4, how much will the forward P/E ratio change?
First of all lets find growth rate
here payout ratio = 0.3
hence retention ratio = 1-0.3 = 0.7
Growth rate = ROE x Retention ratio
=15% x 0.7
=10.5%
Forward PE ratio = Payout ratio/(Required return - Growth rate)
=0.3/(12%-10.5%)
=0.3/1.5%
=20
Now if payout ratio is increased to 0.4, then
hence retention ratio = 1-0.4 = 0.6
Growth rate = ROE x Retention ratio
=15% x 0.6
=9%
Forward PE ratio = Payout ratio/(Required return - Growth rate)
=0.4/(12%-9%)
=0.4/3%
=13.33
Thus Forward PE ratio will change by 20 -13.33 = 6.67
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