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西红柿面 · 2023年09月01日

B为什么不对

NO.PZ2015122802000172

问题如下:

A justified forward PE ratio that is derived from the Gordon growth model is inversely related to the:

选项:

A.

growth rate.

B.

dividend payout ratio.

C.

required rate of return.

解释:

C is correct.

The justified forward P/E is calculated as follows:

P0E1=D1E1rg\frac{P_0}{E_1}=\frac{\frac{D_1}{E_1}}{r-g}

P/E is inversely related to the required rate of return, r, and directly related to the growth rate, g, and the dividend payout ratio, D/E.

考点:GGM

这道题问的是根据GGM模型的公式来看,justified P/E和哪一项成反比? V/E1=(D1/E1)/r-g, V/E1与r成反比。

RR就是b,等于1-dividend payout ratio啊,既然g和PE成正比那么dividend payout ratio就应该成反比呀?

1 个答案

王园圆_品职助教 · 2023年09月01日

同学你好,justified forward P/E公式如下:

justified forward P/E = (1-b)/(r-g),其中b是指留存收益率,所以dividend payout ratio = 1-b

所以上面的公式变形一下就是justified forward P/E = dividend payout ratio / (r-g)

从第二个公式就能看出,分红比率上升,P/E也上升,两者是同向变化的