uppose that the consensus forecast of security analysts of NoWork Inc. is that earnings next year will be E1 = $10.00 per share. The company tends to plow back 50% of its earnings and pay the rest as dividends. The CFO estimates that the company’s growth rate will be 8% from now on. (a) If your estimate of the company’s required rate of return is 12%, what is the equilibrium price of the stock? (b) You observe that the stock is selling for $120.00 per share. Suppose you believe that the market price is right. What must you conclude about either (i) your estimate of the stock’s required rate of return, (ii) the CFO’s estimate of the company’s future growth rate, or (iii) the forecast of earnings from the analysts? (c) Suppose there is uncertainty about the stock’s dividend growth rate. With probability 1/3 the growth rate will be 10%, with probability 2/3 it will be 7%. What are the respective market values under the two different growth rates?

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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2. Suppose that the consensus forecast of security analysts of NoWork Inc. is that earnings next year will be E1 = $10.00 per share. The company tends to plow back 50% of its earnings and pay the rest as dividends. The CFO estimates that the company’s growth rate will be 8% from now on.
(a) If your estimate of the company’s required rate of return is 12%, what is the equilibrium price of the stock?
(b) You observe that the stock is selling for $120.00 per share. Suppose you believe that the market price is right. What must you conclude about either (i) your estimate of the stock’s required rate of return, (ii) the CFO’s estimate of the company’s future growth rate, or (iii) the forecast of earnings from the analysts?
(c) Suppose there is uncertainty about the stock’s dividend growth rate. With probability 1/3 the growth rate will be 10%, with probability 2/3 it will be 7%. What are the respective market values under the two different growth rates?
(d) What is the fair price of the stock given the probabilities above?
(e) What is the expected growth rate for the stock? Given your calculations, which security is more valuable for an investor: the stock with a 8% growth rate for sure or the stock described in part (c) with an uncertain growth rate.

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