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甜甜圈洞 · 2023年10月25日

可否讲解一下这道题用到的公式和在讲义的哪个部分 谢谢

NO.PZ2023052407000008

问题如下:

An analyst observes the benchmark Indian NIFTY 50 stock index trading at a forward price-to-earnings ratio of 15. The index’s expected dividend payout ratio in the next year is 50 percent, and the index’s required return is 7.50 percent. If the analyst believes that the NIFTY 50 index dividends will grow at a constant rate of 4.50 percent in the future, which of the following statements is correct?

选项:

A.

The analyst should view the NIFTY 50 as overpriced.

B.

The analyst should view the NIFTY 50 as underpriced.

C.

The analyst should view the NIFTY 50 as fairly priced

解释:

B is correct. Using Equation 24, the previous input results in the following inequality:


The above inequality implies that the analyst should view the NIFTY 50 as priced too low. The fundamental inputs into the equation imply a forward price to earnings ratio of 16.67 rather than 15. An alternative approach to answering the question would be to solve for implied growth using the observed forward price to earnings ratio of 15 and compare this to the analyst’s growth expectations:


Solving for g yields a result of 4.1667 percent. Since the analyst expects higher NIFTY 50 dividend growth of 4.50 percent, the index is viewed as underpriced.

可否讲解一下这道题用到的公式和在讲义的哪个部分 谢谢

2 个答案

品职助教_七七 · 2024年05月06日

嗨,从没放弃的小努力你好:


@骄傲的小公主

50%是dividend payout ratio,也就是Dt+1 / Et+1。 不是Dt(1+g)。

转化为dividend payout ratio的过程可参见原回复。

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星星_品职助教 · 2023年10月25日

同学你好,

本题用到的原始公式如下:

等式两边同时除以Earnings,Et+1,即可转化为如下公式:

其中等式左侧为 forward price-to-earnings ratio,等式右侧分子为expected dividend payout ratio。

由此代入本题的数值,可知股票的合理 forward price-to-earnings ratio应为50%/(7.5%-4.5%)=16.67. 由于当下市场上NIFTY 50的PE=15,低于合理的PE值,所以NIFTY 50的价值是被低估的(underpriced)

骄傲的小公主 · 2024年05月06日

为什么Dt(1+g)是50%,这个概念不太理解,50%不是股息支付率吗

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