10. What is the profitability index for the following set of cash flows if the required rate of return is 8% ? ( 5 points) 11. Corporation A is deciding on an acquisition. Corporation A would buy all shares of corporation B, for a total of 500,000 shares of B. Currently, corporation B is expected to pay a constant dividend forever of $12 per share. The market price of B shares reflects these expectations, and the required rate of return is 4%. A can buy B shares at their current market price, and management expects to be able to exploit synergies between the two corporations and increase revenues. Thus, according to A's management, if the acquisition takes place the dividend per share for next year is expected to be $12, but dividends are then expected to grow forever at a rate of 3% per year. The required rate of return on stock B would stay unchanged at 4%. What is the NPV of the acquisition? (5 points) 12. Corporation X produces pens. The corporation is deciding whether to build a new plant, for an initial investment of $100,000. The corporation projects to receive cashflows of $10,000 a year for 8 years by selling the output of the plant. Moreover, in year 9 the corporation could decide to convert the plant to produce a new product. The conversion would cost $8,000, and the new product would be sold for the following 40 years, with expected cash inflows per year of $30,000. The required rate of return for investments in pen production is 10% per year, while the one for investments in the production of new products is 15% per year. Say that you must commit to your decisions today. What would you do today and in year 9 ? How much value can be generated by the plant? ( 5 points)