A firm that has an ROE of 12% is considering cutting its dividend payout. The stockholders the firm desire a dividend yield of 4% and a capital gain yield of 9%. Given this information, which of the following statements is (are) correct? All else equal, the firm's growth rate will accelerate after the payout change. All else equal, the firm's stock price will go up after the payout change. All else equal, the firm's P/E ratio will increase after the payout change.a) I only b) I and II only c) II and III only d) I, II, and III

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Answer:

The correct answer is option (a)

Explanation:

From the given question below, we recall recall the following statements.

A firm has an ROE of =12%

In the firm  the stakeholders desire a dividend yield of=

A capital gain yield = 4%

Now,

If  it slashes it's dividend payout , the per share dividend will reduce with every  other conditions  remaining that will remain permanent, that will result in price decrease

For example :D(before change) =1 ,g=8% ,D(After change) :.80

Thus,

The  before Price : 1/(.12-.08)= $25

The price after :.80/(.12-.08)= $ 20 per share

so condition  II is not feasible

The condition  III:with will reduce  in price PE will also decrease

The condition or situation I:there will be a  change in dividend payout ,ratio of retention will increase as there will be in increase in growth rate.

For this therefore, The option a is correct

Answer:

All else equal, the firm's growth rate will accelerate after the payout change

Explanation:

1 dollar of equity generates 12 cent of earnigns

dividend yield 4%  -> dividends / Price = 1

capital gain 9%  --> Price in one year / current price - 1  = 0.09

Given this fact we can say:

Current Year Dividends is 4 cent and price is 1 dollar

Year 1:

Price is 1.09 and dividend 0.0436

Year 2:

Price is 1.0981 and dividend  0,04823

If the dividend payout ratio did not decrease there will be less earnings retained to sustain the grow to achieve this price yields therefore the first statement is true

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