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张文文 · 2023年08月08日

老师请问这里为什么不用3.15%那个short term govt bond利率呢?

NO.PZ2022101402000009

问题如下:

An analyst is estimating a forward-looking ERP for a market based on the following information:


Using the Grinold-Kroner model, the estimates of the ERP is closet to:

选项:

A.

2.16%

B.

4.24%

C.

5.18%

解释:

B is correct.

The ERP using the forward-looking approach is calculated as

ERP = {1.8 – 1.2 + (1.9 + 2.7 + 0.0)} – 0.96

ERP = 5.20 – 0.96 = 4.24%.

老师请问这里为什么不用3.15%那个short term govt bond利率呢?

1 个答案

王琛_品职助教 · 2023年09月20日

嗨,努力学习的PZer你好:


1

同学好,我之前的回答有误,请以下面最新的回答为准

从出题人设计表格的思路来看

Current three-month government bond yield,用于未来估计法中 GK Model 中的 rf

表格最后两行,用于历史估计法:the ERP using the historical approach is calculated as 9.96% – 3.15% = 6.81%

区别就是,在 GK Model 中使用的 rf,是当前的利率 current

2

另外需要注意,其实表格最后一行的数据,还是短期利率,long term 只是用来形容统计回测的时间,是长期

但是统计的主体,还是短期利率,参考最后一行的最后几个单词:... of short-term government bond

本来未来估计法的 GK Model,rf 是要用长期的

但是这道题比较特殊,没有提供长期利率,所以只能使用短期利率

关键是使用当前的利率,参考关键词 Current 

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