Extruded Elements had Net Income of $25,000,000 last year, and $26,250,000 this year (in line with its long-term earnings growth rate). There are 4,000,000 shares outstanding, and the firm follows a policy of paying 30% of its earnings out as dividends The required rate of return on Extruded's shares is 13%. What is the share price today based on the Gordon growth model?
$16.00
$23.44
$24.63
$25.88
Growth rate = (Earning this year - Previous year earnings) / Previous year earnings
= (26250000 - 25000000)/25000000
= 0.05 or 5%
Number of shares = 4000000
Dividend amount (This year) = Payout ratio * Earnings this year
= 30% * 26250000
= 7875000
Dividend per share = Dividend amount / Number of shares
= 7875000 / 4000000
=1.96875
Gordon growth model = Dividend for next period / (Required return - growth rate)
= 1.96875 * (1+5%) / (13%-5%)
= 2.0671875 / 0.08
= 25.88
So, The Share price is $25.88
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