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Zunniyaki · 2023年02月24日

这里为什么要mutually exclusive and exhaustive?

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NO.PZ202207040100000605

问题如下:

The portfolio method suggested by Stapleton to replicate the MSCI EAFE Index is best described as:

选项:

A.optimization. B.stratified sampling. C.a blended approach.

解释:

Solution

B is correct. The portfolio method that Stapleton is describing is stratified sampling. In equity indexing, stratified sampling methods are most frequently used when the portfolio manager wants to track indexes that have a large number of constituents or when dealing with a relatively low level of assets under management. In stratified sampling, the portfolio manager holds a limited sample of the index constituents arranged in distinct strata or subgroupings. Arranged correctly, the various strata will be mutually exclusive and also exhaustive and should closely match the characteristics and performance of the index.

A is incorrect. Optimization typically involves maximizing a desirable characteristic or minimizing an undesirable characteristic, subject to one or more constraints.

C is incorrect. An indexed portfolio can be managed using a blended approach consisting of full replication for more liquid issues and stratified sampling or optimization for less liquid issues.

答案中:the various strata will be mutually exclusive and also exhaustive and should closely match the characteristics and performance of the index.请问为什么要mutually exclusive and exhaustive?怎么理解

1 个答案

笛子_品职助教 · 2023年02月27日

嗨,从没放弃的小努力你好:


he various strata will be mutually exclusive and also exhaustive and should closely match the characteristics and performance of the index.请问为什么要mutually exclusive and exhaustive?怎么理解


Hello,亲爱的同学!

stratified sampling是指把股票按照benchmark进行分类。

在分类的时候,我们要注意,对于每个类别(various strata),都要互斥且穷尽。

互斥是意味着,各个类别之间,不要有重叠。穷尽是指不要有遗漏。


比如benchmark有汽车、银行、计算机,3个行业,则stratified sampling也有汽车、银行、计算机,3个行业。这种分类才是正确的。

如果stratified sampling只有汽车、计算机,这个分类不行,这就是遗漏,这是不行的。

如果stratified sampling有汽车、银行、计算机、软件,这个分类也不行,因为计算机和软件,这2个分类有重叠,不互斥。

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