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Your firm has 10 million shares outstanding, and you are about to issue 5 million new shares in an IPO. The IPO price has been set at $20 per share, and the underwriting spread is 7%. The IPO is a big success with investors, and the share price rises to $50 on the first day of trading.

a. How much did your firm raise from the IPO?
b. What is the market value of the firm after the IPO?
c. Assume that the post-IPO value of your firm is its fair market value. Suppose your
firm could have issued shares directly to investors at their fair market value, in a perfect market
with no underwriting spread and no underpricing. What would the share price have been in this
case, if you raise the same amount as in part (a)?
d. Comparing part (b) and part (c), what is the total cost to the firm’s original investors
due to market imperfections from the IPO

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Answer:

Your firm has 10 million shares outstanding, and you are about to issue 5 million new shares inan IPO. The IPO price has been set at $20 per share, and the underwriting spread is 7%. The IPOis a big success with investors, and the share price rises to $50 on the first day of trading.a)How much did your firm raise from the IPO?5,000,000 × (20 – 7% × 20) = $93,000,000b)What is the market value of the firm after the IPO?15,000,000 ×50 = $750,000,000c)Assume that the post-IPO value of your firm is its fair market value. Suppose your firmcould have issued shares directly to investors at their fair market values in a perfectmarket with no underwriting spread and no underpricing. What would the share pricehave been in this case, if you raise the same amount as in part a)?$750,000,000 – $93,000,000 = $657,000,000$657,000,000 / (10,000,000 shares) = $65.70 per shared)Comparing part b) and part c), what is the total cost to the firm’s original investors due tomarket imperfections from the IPO?($65.70 – $50.00) × 10,000,000 = $157,000,000

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