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积极向上 · 2023年04月17日

Dividend yield 为啥加上去?

NO.PZ2020012201000007

问题如下:

Alena,CFA, was updating her firm’s projections for US equity returns.If she believed that in the long run that the US labor input would grow by 0.9% perannum and labor productivity by 1.5%, that inflation would be 2.1%, that the dividend yield would be 2.25%, and that there would be no further growth in P/E, what is likely to have been her baseline projection for continuously compounded long-term US equity returns?

选项:

A.

6.75%

B.

5.5%

C.

5.85%

解释:

A is correct

解释:

在长期,一国股票市场的增长率等于该国GDP的增长率(本题P/E增长率为0也证实了这一点)。那么本题就等于计算该国GDP的增长率。

Her baseline projection is likely to have been 6.75% = 0.9% + 1.5% + 2.1% + 2.25%

依照公式可得:. 6.75% = 0.9% + 1.5% + 2.1% + 2.25%

这道题目很明显,

股票长期收益率会等于GDP

而GDP 的收益率就是labor input和labor productivity的加总,以及inflation的调整

为什么还要加dividend yield?


看了其他类似的提问的讲解,说是用了GK model,这道题目哪里提示你要用GK model了?

而且不加上 dividend yield,B选项可以对上,为什么不能是我以上的理解呢?


请老师详细解析一下


1 个答案

源_品职助教 · 2023年04月17日

嗨,爱思考的PZer你好:


题目没有明确提及GK的模型。不过题目做多了看到这种同时给出dividend yield以及PE的,一般就默认用GK模型了。

不用GK模型也没关系,其实题目也只是把所有项相加了起来。

股权收益= income return(股权收益)+capital appreciation return

其中,capital appreciation return增长= GDP增长+(E/GDP)增长+PE增长

在长期,E/GDP)增长和PE增长都默认为0,所以有capital appreciation return增长= GDP增长。这是长期的结论。

就本题而言,股权收益= income return(股权收益)+GDP增长

其实分红计入股权收益,这是肯定要计入的,这也是欧美投资者买骨片的很重要的原因。

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