Fontaine Inc. recently reported net income of $2 million. It has 500,000 shares of common stock, which currently trades at $40 a share. Fontaine continues to expand and anticipates that 1 year from now, its net income will be $3.25 million. Over the next year, it also anticipates issuing an additional 150,000 shares of stock so that 1 year from now it will have 650,000 shares of common stock. Assuming Fontaine’s price/earnings ratio remains at its current level, what will be its stock price 1 year from now?

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Answer:

$50

Explanation:

Given,

Current Net income = $2,000,000

No. of common shares today = 500,000

Current market price per share = $40

Anticipated Net income in 1 year = $ 3,250,000

Anticipated No. of common shares in 1 year = 500,000 +150000 =650,000

From this data, then

The current Earnings Per Share(EPS) = [tex]\frac{2,000,000}{500,000} = 4[/tex]

Current Price/Earning ratio = [tex]\frac{ Price per share}{EPS} = \frac{40}{4} = 10[/tex]

Anticipated EPS in 1 year=[tex]\frac{Anticipated Net income in 1 year }{Anticipated No. of common shares in 1 year } = \frac{3,250,000}{650,000} = $5[/tex]

If the company's P/E ratio remain as that of the current at 10, then

The anticipated price of stock in 1 year = Anticipated EPS * P/E ratio in 1 year

 = $5 *10 = $50

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