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fanfan · 2021年03月07日

请问求Risk premium时减去的rf需要考虑通胀吗?

NO.PZ2018091901000059

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, calculates the expected annual equity risk premium.

选项:

A.

6.25%

B.

3.95%

C.

3.45%

解释:

B 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%.

Expected equity return – Current 10-year government bond yield =Expected equity risk premium

6.25% – 2.3% = 3.95%

解析:

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%.

Expected annual equity risk premium=Expected equity return Current 10-Year government bond yield=6.25% – 2.3% = 3.95%

注意到上述公式中之所以使用10-Year government bond的当前收益率是因为题目中没有给出与之对应的未来收益率,所以我们只能用当前收益率作为替代。

请问求Risk premium时减去的rf需要考虑通胀吗?谢谢

2 个答案
已采纳答案

源_品职助教 · 2021年03月08日

嗨,爱思考的PZer你好:


查看了一下原版书,好像没有明确提及这个问题。

个人认为RF本身是不包含通胀风险的。因为RF本身就是无风险利率。通常也算是风险的一种。

如果求股权相对于债券的溢价,那么直接相减即可。即两者会参考同样的RF,要包含通胀就都包含了,要么就都不包含。

不客气~

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我叫仙人涨 · 2021年09月05日

不用average,用current是因为Equity risk premium里面的equtiy return是未来的期望值是么?而债卷用历史平均数据不准对么?

源_品职助教 · 2021年09月06日

嗨,爱思考的PZer你好:


Expected annual equity risk premium=Expected equity return –Current 10-Year government bond yield


如果是求预期就是用预期数据减去当前数据。例如本题。


还有一种情况是求历史收益,那就是用当前数据减去历史数据,本题不适用


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