PRIN.OF CORPORATE FINANCE
PRIN.OF CORPORATE FINANCE
13th Edition
ISBN: 9781260013900
Author: BREALEY
Publisher: RENT MCG
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Chapter 16, Problem 29PS

Dividend policy and the dividend discount model Consider the following two statements: “Dividend policy is irrelevant,” and “Stock price is the present value of expected future dividends.” (See Chapter 4.) They sound contradictory. This question is designed to show that they are fully consistent.

The current price of the shares of Charles River Mining Corporation is $50. Next year’s earnings and dividends per share are $4 and $2, respectively. Investors expect perpetual growth at 8% per year. The expected rate of return demanded by investors is r = 12%.

We can use the perpetual-growth model to calculate stock price:

P 0 = DIV r g = 2 .12 .08 = 50

Suppose that Charles River Mining announces that it will switch to a 100% payout policy, issuing shares as necessary to finance growth. Use the perpetual-growth model to show that current stock price is unchanged.

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The dividend-growth model,   suggests that an increase in the dividend growth rate will increase the value of a stock. However, an increase in the growth may require an increase in retained earnings and a reduction in the current dividend. Thus, management may be faced with a dilemma: current dividends versus future growth. As of now, investors’ required return is 12 percent. The current dividend is $0.9 a share and is expected to grow annually by 8 percent, so the current market price of the stock is $24.3. Management may make an investment that will increase the firm’s growth rate to 9 percent, but the investment will require an increase in retained earnings, so the firm’s dividend must be cut to $0.4 a share. Should management make the investment and reduce the dividend? Round your answer to the nearest cent. The value of the stock  to $   , so the management  make the investment and decrease the dividend.
A company is considering the following two dividend policies for the next five years.  Year Policy #1 Policy #2 1 $4.00 $6.00 2 $4.00 $2.70 3 $4.00 $5.00 4 $4.00 $3.10 5 $4.00 $3.20   Required:    Part 1: How much total dividends per share will the stockholders receive over the five year period under each policy?    Part 2: If investors see no difference in risk between the two policies, and therefore apply a 9.4% discount rate to both, what is the present value of each dividend stream?    Part 3: Suppose investors see Policy #2 as the riskier of the two. And they therefore apply a 9.4% discount rate to Policy #1 but a 14% discount rate to Policy #2. Under this scenario, what is the present value of each dividend stream?    Part 4: What conclusions can be drawn from this exercise?
An analyst gathers the following information about a company and the market:   Current market price per share of common stock €38.00 Most recent dividend per share paid on common stock €2.50 Expected dividend payout rate 30% Expected return on equity (ROE) 12% Beta for the common stock 1.5 Expected return on the market portfolio 12% Risk-free rate of return 4%   Using the dividend discount model approach, the cost of common equity for the company is closest to:
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