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羊 · 2023年02月19日

你好对于翻上去是n来除还是有点不太懂

NO.PZ2018103102000139

问题如下:

Sara, a junior equity research in a small securities company, is comparing a company’s value with its peer group. The company, named HomeWithLove, operates in the real estate industry. The information about the company is shown below:

The current stock price as of Jan 2018 is $35

The information about earnings per share of the company is:

The forward P/E of the company’s peers:

Based on the information above, and using the harmonic mean of the peer group forward P/E as the benchmark, which of the following is correct?

选项:

A.

Compared with the benchmark, HomeWithLove is undervalued.

B.

Compared with the benchmark, HomeWithLove is overvalued.

C.

Compared with the benchmark, HomeWithLove is fairly valued.

解释:

A is correct.

考点:考察Forward P/E相对估值法,考察Harmonic mean的计算。

解析:

Harmonic mean的计算公式为:

XH=ni=1n1xi=516.7+17.2+113.2+14.5+15.56.51X_H=\frac n{\displaystyle\sum_{i=1}^n\frac1{x_i}}=\frac5{\displaystyle\frac1{6.7}+\frac1{7.2}+\frac1{13.2}+\frac1{4.5}+\frac1{5.5}}\approx6.51

则比较的Benchmark为6.51

而当前Homewithlove的股票价格为35,其2018(E)年的EPS为7.0,所以其Forward P/E为35/7=5.

当前由于HomeWithLove的Forward P/E小于行业的平均Forward P/E所以公司相对被低估。

不因该是p/e取倒数求和再取倒数么 不是应该是1么 为什么是n呢 谢谢

1 个答案

王园圆_品职助教 · 2023年02月20日

嗨,从没放弃的小努力你好:


同学你好,因为harmonic mean的实际过程拆分开就是:1. 先把每个数的P/E都取倒数,2. 然后求这些倒数的平均,3. 然后再把这个平均数做一个倒数变回一个合理的P/E值

假设有n个P/E,那在第2步求平均的时候就是把n个P/E的倒数相加数以n

再转换到第3步的时候,就是n在分子,n个P/E倒数之和在分母,也就是讲义中的公式的呈现了

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