Principles of Corporate Finance (Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
Principles of Corporate Finance (Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
12th Edition
ISBN: 9781259144387
Author: Richard A Brealey, Stewart C Myers, Franklin Allen
Publisher: McGraw-Hill Education
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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.
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