Question

Neutrino Industries stock trades at $49 per share and there are 120 million shares outstanding. The management would like to raise $400 million in an SEO. If the underwriter charges 6% of gross proceeds, how many shares must it sell?

Answer 1

Neutrino Industries must sell 8.68 million shares to raise $400 million.

Step-by-step explanation:

To calculate this, let B represents the number of shares Neutrino Industries must sell. Therefore, we have:

Gross proceeds = $49 * B, or $49B

Underwriter charges = 6% * $49B = $2.94B

To raise $400 million, we deduct the underwriter charges from gross proceeds and solve for B as follows:

$49B – $2.94B = $400,000,000

$46.06B = 400,000,000

B = 400,000,000 / 46.06

B = 8,684,324.79 shares, or 8.68 million shares.

Therefore, Neutrino Industries must sell 8.68 million shares to raise $400 million.