Acompany recently announced that it would be going public. the usual suspects, morgan stanley, jpmorgan chase, and goldman sachs will be the lead underwriters. the value of the company has been estimated to range from a low of $5billion to a high of $100billion, with $45billion being the most likely value. if there is a 30% chance that the price will be at the low end, a 10% chance that the price will be at the high end, and a 60% chance that the price will be in the middle, what value should the owner expect the company to price at?

Quick computing currently sells 12 million computer chips each year at a price of $19 per chip. it is about to introduce a new chip, and it forecasts annual sales of 22 million of these improved chips at a price of $24 each. however, demand for the old chip will decrease, and sales of the old chip are expected to fall to 6 million per year. the old chips cost $10 each to manufacture, and the new ones will cost $14 each. what is the proper cash flow to use to evaluate the present value of the introduction of the new chip? (enter your answer in millions.)