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Garygary · 2024年11月08日

公式 Dt (1+g)/ r-g

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.

这里应该是套用公式 Dt (1+g)/ r-g 吧. 但我理解不了为何 "The index’s expected dividend payout ratio in the next year is 50 percent" 是等如Dt (1+g).

2 个答案

品职助教_七七 · 2024年11月13日

嗨,从没放弃的小努力你好:


如下:

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努力的时光都是限量版,加油!

品职助教_七七 · 2024年11月08日

嗨,从没放弃的小努力你好:


本题解析里的公式是做了如下变形后的结果,此时分子恰好为expected dividend payout ratio。对应题干中给出的“The index’s expected dividend payout ratio in the next year is 50 percent”。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

Garygary · 2024年11月13日

请问这个变形公式出自笔记那一页?

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