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黄路迦 · 2023年03月04日

如下

NO.PZ2018103102000078

问题如下:

Company M with a required rate of return of 10%. The company shares are currently selling for $24 per share and have paid a dividend of $1 per share for the most recent year. The company’s ROE is 8.5% and its payout ratio is 60%. Based on the relationship between the implied growth rate and the sustainable growth rate, which of the following statements is correct?

选项:

A.

The stock price is fairly valued.

B.

The stock price is undervalued.

C.

The stock price is overvalued.

解释:

C is correct.

考点:Implied Dividend Growth Rate

解析:Sustainable growth rate = Retention ratio × ROE = 0.4 × 8.5% = 3.4%

根据公式P0=D0×(1+g)rgP_0=\frac{D_0\times\left(1+g\right)}{r-g},计算implied growth rate

将P0 = 24,r = 10%,D0 = 1代入,求得g = 5.6%

由于内含增长率大于可持续增长率,所以股票价格被高估。

可以用sustainable g算出合理定价下的v,然后再和p进行比较吗?

sustainable g=roe*b=3.4%,所以合理定价下的V=D1/(re—g)=1(1+3.4%)/(10%—3.4%)=15.67,小于p=24,故高估

可以这样吗

1 个答案

王园圆_品职助教 · 2023年03月04日

嗨,努力学习的PZer你好:


同学你好,你的思路完全正确的哦~~

解析只是提供了一种解题思路但不一定是唯一的思路哦~~

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努力的时光都是限量版,加油!

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