Question

Newdex has net income of $3,000,000 (INCLUDING the effect of expected out-of-pocket costs) and 1,000,000 shares outstanding. It needs to raise $5,000,000 in funds for a new asset. Its investment banker plans to sell an issue of common stock to the public for $40, less a spread of 10%. How much must Newdex's after-tax income be to prevent dilution of earnings per share

Answer 1

$416,667

Step-by-step explanation:

Current EPS = $3,000,000 / 1,000,000

Current EPS = $3

Net Proceeds per share = $40 * 90%

Net Proceeds per share = $36

New Number of Shares = $5,000,000 / $36

New Number of Shares = 138888.88

Total Number of Shares Outstanding after the new issue = 1138888.88 shares

Diluted EPS = $3,000,000 / 1138888.88

Diluted EPS = $2.634

Amount of Dilution in EPS = $3 - $2.634

Amount of Dilution in EPS = $0.3658

Net Income must increase by 1138888.88 * $0.3658 = $416,667. So, Newdex's after-tax income must increase to $416,667 to prevent dilution of earnings per share.