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pepperhyp · 2023年08月21日

这道题p/e的计算。

NO.PZ2022122601000073

问题如下:

Fiske prefers to forecast the average annual return for US large-cap equities over the next 10 years using the Grinold–Kroner model and the data in Exhibit 2.

Using the data in Exhibit 2 and Fiske’s preferred approach, the estimated expected annual return for US large-cap equities over the next 10 years is closest to:

选项:

A.7.9%

B.7.6%

C.7.4%

解释:

Correct Answer: B

The Grinold–Kroner model formula is E(R) = D/P ‒ ∆S + i + g + ∆P/E

First, compute the compound annual growth rate of the P/E: (15.0/15.6)1/10 – 1 = ‒0.4%.

Next, compute, as a percentage, the expected return per the Grinold–Kroner model formula:

E(R) = 2.1 ‒ (‒1.0) + 2.3 + 2.6 – 0.4 = 7.6

中文解析:

Grinold-Kroner模型公式为E(R) = D/P -∆S + i + g +∆P/E

首先,计算市盈率的复合年增长率:(15.0/15.6)1/10 - 1 = - 0.4%。

接下来,根据Grinold-Kroner模型公式,以百分比计算预期收益:

E(r) = 2.1 - (- 1.0) + 2.3 + 2.6 - 0.4 = 7.6

老师好,可否解释下这道题p/e的计算?为什么用复利?

3 个答案

源_品职助教 · 2023年08月29日

嗨,爱思考的PZer你好:



CAPE是用来调整P/E中的通胀的,因为每年对应的通胀基准不一样,所以理论上每年的PE是不可比的,要调整到统一起点的通胀基准,才好相加减。

但这仅仅是理论,实际做题的时候,不会牵扯到CAPE调整,至少我们目前看过的题目均未涉及。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

源_品职助教 · 2023年08月28日

嗨,努力学习的PZer你好:


第一种形式中,expected equity market P/E 其实就是第二年的。

如果不是第二年的,那么就用第二种取年化的形式来算。所以本题不适用。

第三种,CAPE,意识是对通胀进行调整,但其实原版书本身并未给出具体公式形式。

所以GK模型的计算,我们见过的所有出题,其实都没有针对CAPE来调整的。

而且CAPE调整是需要两个时间点的通胀值,本题只有一个,所以也不适合本题。

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加油吧,让我们一起遇见更好的自己!

源_品职助教 · 2023年08月22日

嗨,从没放弃的小努力你好:


因为GK模型计算结果是一个年化的结果。

答案中计算PE,并不是复利,而是取年化。

15.0是10年后的预期数值,如果直接拿它计算,那么PE的增长也是10年变化综合,所以需要先做年化处理。

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就算太阳没有迎着我们而来,我们正在朝着它而去,加油!

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