Question:
JVC Inc. has decided to go public with a $5,000,000 new equity issue. Its investment bankers agreed to take a smaller fee now (6 percent of par value versus 10 percent) in exchange for a 1-year option to purchase an additional 200,000 shares of the company at $5.00 per share. The investment banking firm expects to exercise its option and purchase the 200,000 shares in exactly one year's time when the stock price is expected to be $6.50 per share. However, if the stock price is actually $12.00 per share one year from now, what is the present value of the entire underwriting agreement to the investment banker? Assume that the investment banker's required return on such arrangements is 15 percent and ignore any tax considerations.