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pseudonym · 2024年01月18日

accounts for covariance是指什么?

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NO.PZ202207040100001001

问题如下:

In Exhibit 1, the replication manager that most likely blends stratified sampling and optimization is:

选项:

A.Manager A. B.Manager B. C.Manager C.

解释:

Solution

C is correct. Manager C demonstrates characteristics consistent with a blended approach of stratified sampling and optimization. The optimization process accounts explicitly for the covariances in the portfolio constituents and results in lowering tracking error when compared with stratified sampling alone. Using 1,200 holdings out of the 3,000 used by the index illustrates stratified sampling. Manager A appears to use a full replication, given the large number of holdings (498 of 500) and the low tracking error. Manager B appears to use stratified sampling alone, given the proportion of holdings (800 out of 928 in the index, or 86%), and does not appear to use optimization, given the large tracking error, which would have been reduced by accounting for covariances.

A is incorrect. It is very likely that Manager A uses a full replication approach as indicated by the number of holdings (498 of 500) and the low tracking error.

B is incorrect. Manager B uses stratified sampling alone. The manager has not reduced tracking error by accounting for covariances as would be done when using optimization. Using 1,200 holdings out of the 3,000 used by the index illustrates stratified sampling.

答案里的解释也提到了,这里的covariance是指什么?

1 个答案

笛子_品职助教 · 2024年01月19日

嗨,努力学习的PZer你好:


答案里的解释也提到了,这里的covariance是指什么?

Hello,亲爱的同学~

这里的covariance是指协方差。

协方差是一个重要的统计量,可以用于描述两个变量之间的线性关系。

它衡量了两个变量在方向和幅度上的一致性。

协方差越大,表示两个变量的变化方向越一致。

正值表示两个变量呈正相关,负值表示两个变量呈负相关,0表示两个变量不相关。

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