question archive ABC Industries is considering an investment that requires the firm to issue new equity

ABC Industries is considering an investment that requires the firm to issue new equity

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ABC Industries is considering an investment that requires the firm to issue new equity. The

project will cost $100, but will add $120 to the firm’s value. Although management believes

the firm’s value is $1,000 without the new project, outside investors value the firm at $600

without the project. If the firm currently has 100 shares outstanding, how many new shares

must it issue to finance the project? Now assume that the true value of the firm will become

known to the market shortly after the new equity has been issued. What will the firm’s stock

price be at this time if it chooses to finance this new investment? What will the stock price be

if it chooses to pass up the investment?

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Answer:

Vaue of firm as per outside investors = $600

No of shares outstanding = $100

Per Value of share = 600 / 100 = $6

Amount of money to be raised = $100

No of new share required to finance the project = $100/$6 = 16.67 shares = 17 shares (Round Off)

Now the true value of firm is known to the market so:

Revised value of the firm = $1000

Revised value of stock = $1000/100 = $10 (Firm's stock price once true value of firm is known to the market)

No of shares required to raise project cost i.e. $100 = $100 / $10 = 10 shares

Stock price if firm choose to pass the investment ?

Projected value of firm = $1000 + $120 = $1120

Total no of shares in market = 110

Revised stock price = $1120/110 = $10.18