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%u2019 common stock value because they thought they might be interested in buying the firm in the
Fiber Cereals paid a dividend at the end of year 1 of $1.35; the anticipated growth rate was 11 percent; and the required
rate of return was 14 percent.
a. What is the value of the stock
based on the dividend valuation model (Formula 10-9 on page 300)?
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 14 percent. D1 is $1.35 and it increases by 11 percent (g) each year. Also discounted
back the anticipated stock price at the end of year 3 to the present and add it to present value of the three dividend payments.
The value of the stock at the end of year 3 is:
(P3=D4/Ke-g D4=D3(1+g) )
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 public traded food industry companies. These P/E ratios were as follows during the time period under analysis:
Del Monte 14
General Mills 16
Assume Fiber Cereals has earnings per share of $2.50. 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
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.