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shijia75 · 2025年02月02日

是哪个公式?为什么用expected income return 不用dividend income return

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NO.PZ202001210200000402

问题如下:

Calculate the expected annual equity return using the Grinold–Kroner model (assume no change in the number of shares outstanding).

选项:

解释:

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%. Thus, 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%.

可以详细解释一下这道题的原理吗

1 个答案

源_品职助教 · 2025年02月05日

嗨,努力学习的PZer你好:



这题用的是GK模型的公式,在咱们基础班讲义P142.

即"D/P+(%△E-%△S)+%△P/E

D/P就是Expected annual income return= 2.4%

(%△E-%△S)对应The expected nominal earnings growth return=Expected annual real earnings growth + Expected inflation rate=5%+2.3%=7.3%

The expected repricing return就是%△P/E,即P/E的变化值, (14−14.5)/14.5 =−3.45%.

所以本题驻点是知道这个公式,然后对应每一项带数字即可。

因为题目要求的是“expected” annual equity return,是预期的,所以要用预期数据,而不用历史数据。


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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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