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咩咩 · 2022年01月21日

为什么预期的股利增长率g等于capital gain yield

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NO.PZ201710200100000104

问题如下:

4. Assume that a new government takes office in Canada. If Peters and her team use the Gordon growth model and assume that Company ABC stock is fairly valued, then which of the following would most likely be true?

选项:

A.

The total return of ABC stock will be 10.85%.

B.

The dividend yield of ABC stock will be 3.85%.

C.

The stock price of ABC will grow at 7.35% annually.

解释:

B is correct.

In the Gordon growth model, Total return = Dividend yield + Capital gains yield (i.e., constant growth rate). When a stock is fairly valued, the expected total return will equal the required return or discount rate (i.e., 7.35%). In the case of ABC, the total return is 7.35% and the capital gains yield is 3.5%. Therefore, the dividend yield is 7.35% – 3.5% = 3.85%

为什么预期的股利增长率g等于capital gain yield

1 个答案

王园圆_品职助教 · 2022年01月22日

嗨,爱思考的PZer你好:


同学你好,请看以下推导

假设公司进入永续增长,P0= D1/(r-g) P1 = D1*(1+g)/(r-g)

现在我们计算P1相对P0增长了多少(即capital gain yield)

(P1-P0)/P0 = P1/P0 -1 = D1*(1+g)/(r-g) * (r-g)/D1-1

P1/P0 - 1 = 1+g-1 = g

所以最后可得capital gain yield = P1/P0-1 = g

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