Magenta Corporation wants to raise $51.4 million in a seasoned equity offering, net of all fees. Magenta stock currently sells for $12 per share. The underwriters will require a spread of $0.4 per share, and indicate that the issue must be underpriced by 4 percent. In addition to the underwriter’s fee, the firm will incur $2,400,000 in legal, accounting, and other costs. How many shares must Magenta sell? (Enter your answer in millions rounded to 3 decimal places.)
The price will be set at 4% below the current price, or at 0.96 × $12 = $11.52
The underwriters will take $0.40 per share, leaving $11.12/share for Magenta.
Magenta needs to receive $53.8 million (in order to have $51.4 million net of all fees), and it gets $11.12/share, so it must sell $53.8 million/$11.12 = 4.838 million shares.
Magenta Corporation wants to raise $51.4 million in a seasoned equity offering, net of all fees....
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