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MarinaC · 2020年10月27日

问一道题:NO.PZ2018091901000058

问题如下:

An Australian investor currently holds a A$240 million equity portfolio. He is considering rebalancing the portfolio based on an assessment of the risk and return prospects facing the Australian economy. Information relating to the Australian investment markets and the economy has been collected in the following table:

Using the information in the table, calculate the expected annual equity return using the Grinold–Kroner model (assume no change in the number of shares outstanding).

选项:

A.

6.25%

B.

-3.45%

C.

7.3%

解释:

A is correct.

The Grinold–Kroner model states that the expected return on equity is the sum of the expected income return (2.4%), the expected nominal earnings growth return (7.3% = 2.3% from inflation + 5.0% from real earnings growth) and the expected repricing return (–3.45%). The expected change in market valuation of –3.45% is calculated as the percentage change in the P/E level from the current 14.5× to the expected level of 14.0×: (14 – 14.5)/14.5 =3.45%. Tus, the expected return is 2.4% + 7.3% – 3.45% = 6.25%.

解析:Grinold-Kroner model计算收益率时包含以下三个部分: the expected income return, the expected nominal earnings growth return 以及 the expected repricing return。那么我们就分别求解这三部分。

从表格中直接可得Expected annual income return= 2.4%

The expected nominal earnings growth return=Expected annual real earnings growth + Expected inflation rate=5%+2.3%=7.3%

对于The expected repricing return,我们可以通过预期P/E值与当前P/E值得变化率求出,即: (14−14.5)/14.5 =−3.45%.

所以最终的收益率为2.4% + 7.3% – 3.45% = 6.25%.

repricing return 为什么不是14-14.5/14.5 再开根号—1求出来年平均变化P/E数据

2 个答案

笛子_品职助教 · 2023年07月19日

嗨,努力学习的PZer你好:


什么开根号?负数也可以开根号??前后问题回答有缺失吗,看的一脸懵

是之前有一位同学对题意的理解有误,开根号是针对他的问题。

这道题本身不涉及到根号的问题。同学直接忽视掉这个开根号就可以。

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努力的时光都是限量版,加油!

源_品职助教 · 2020年10月28日

嗨,努力学习的PZer你好:


同学你的想法有一定道理。

但是如果用根号的话,就代表为期2年,也就是是对未来第二年的预期,而不是对下一年的预期。

我看题目并没有写明预期的年份,那可能就是默认对于下一年的预期,所以没有开根号。

 


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努力的时光都是限量版,加油!


挚💫CZ · 2023年07月18日

什么开根号?负数也可以开根号??前后问题回答有缺失吗,看的一脸懵

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