Allie Reynolds, the chief financial officer of Healthy Products, Inc., has been asked to do an evaluation of Fiber Cereals, Inc., by the president and chairman of the board, Gail Martinez. Healthy Products was planning a joint venture with Fiber Cereals (which was privately traded), and Gail and Allie needed a better feel for Fiber Cereals’ common stock value because they thought they might be interested in buying the firm in the future. Fiber Cereals paid a dividend at the end of year 1 of $1.20; the anticipated growth rate was 10 percent; and the required rate of return was 13 percent. Healthy Products (Dividend valuation model, P/E ratio) (LO5) a. What is the value of the stock based on the dividend valuation model (Formula 10-9 on page 300)? p. 317 b. Indicate that the value you computed in part a is correct by showing the value of D1, D2, and D3 and discounting each to the present at 13 percent. D1 is $1.20 and it increases by 10 percent (g) each year. Also discount back the anticipated stock price at the end of year 3 to the present and add it to the present value of the three dividend payments. The value of the stock at the end of year 3 is: If you have done all these steps correctly, you should get an answer approximately equal to the answer in part a. c. As an alternative measure, you also examine the value of the firm based on the price-earnings (P/E) ratio times earnings per share. Since the company is privately traded (not in the public stock market), you will get your anticipated P/E ratio by taking the average value of five publicly traded food industry companies. These P/E ratios were as follows during the time period under analysis: Assume Fiber Cereals has earnings per share of $2.45. What is the stock value based on the P/E ratio approach? Multiply the average P/E ratio you computed times earnings per share. How does this value compare to the dividend valuation model values that you computed in parts a and b? d. If in computing the industry average P/E, you decide to weight Kellogg by 40 percent and the other four firms by 15 percent, what would be the new weighted average industry P/E? (Note: You decided to weight Kellogg more heavily because it is similar to Fiber Cereals.) What will the new stock price be? Earnings per share will stay at $2.45. e. By what percentage will the stock price change as a result of using the weighted average industry P/E ratio in part d as opposed to that in part c?