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王昕彤 · 2025年06月21日

理解

NO.PZ2023010903000016

问题如下:

McMahon observes that the benchmark used for the US large-cap equity component is a price-weighted index containing 150 stocks. The benchmark’s Herfindahl–Hirschman Index (HHI) is 0.0286.

Based on its HHI, the initial US large-cap benchmark most likely has:

选项:

A.

a concentration level of 4.29

B.

an effective number of stocks of approximately 35

C.

individual stocks held in approximately equal weights

解释:

The HHI measures stock concentration risk in a portfolio, calculated as the sum of the constituent weightings squared:


Using the HHI, one can estimate the effective number of stocks, held in equal weights, that would mimic the concentration level of the respective index. The effective number of stocks for a portfolio is calculated as the reciprocal of the HHI. The HHI is 0.0286; the reciprocal (1/0.0286) is 34.97.

Therefore, the effective number of stocks to mimic the US large-cap benchmark is approximately 35.

老师,上课讲的时候说effective number of stocks 指的是等权重情况下,等效的股票数量,想问一下这句话如何理解

1 个答案

笛子_品职助教 · 2025年06月23日

嗨,从没放弃的小努力你好:


老师,上课讲的时候说effective number of stocks 指的是等权重情况下,等效的股票数量,想问一下这句话如何理解

Hello,亲爱的同学~

如果一个benchmark有100只股票,其中有10只股票,每只股票的权重是9.999%,另外90只股票的权重加起来是0.0001%。

那么我们可以看到另外90只股票占比太低,这90只股票的涨跌,对benchmark来说并不重要。

那么就可以认为,benchmark其实就是由这10只股票组成的。

也就是“等权重情况下,等效的股票数量”的含义。

----------------------------------------------
虽然现在很辛苦,但努力过的感觉真的很好,加油!

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