Suppose you are the investment banker working as a lead underwriter for a start-up company. The company plans to sell 100 million shares at the price of $23 per share. It also provides you an over-allotment option of 15 million additional shares. Recent road show estimates demand to be around 130 million shares at $23. There is lots of uncertainty about how the stock will perform after trading starts. Consider the following decisions. Before the trading starts tomorrow, you need to allocate (sell) a number of shares to the institutional investors now at the IPO price. How many shares will you allocate?