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Feeling · 2023年08月28日

为什么不选B

NO.PZ2019012201000070

问题如下:

For the large-cap US equity portion of Sapphire’s investment portfolio, Cullen believes that there are some existing passive indexed-based funds that track the S&P 500 Index that the foundation should consider. Cullen presents Exhibit 2 to Sapphire’s board.Exhibit 2 S&P 500 Index Funds

Based on Exhibit 2, the portfolio manager most likely to have the largest tracking error is:

选项:

A.

Manager A

B.

Manager C

C.

Manager B

解释:

Tracking error indicates how closely the portfolio behaves like its benchmark and measures a manager’s ability to replicate the benchmark return. Manager C is most likely to have the largest tracking error for three reasons:

l The portfolio contains a smaller number of the index holdings than the other two portfolios, resulting in a lower level of replication.

l Dividends are reinvested the day following receipt rather than the same day, which would cause cash drag relative to Manager B.

l The portfolio is reconstituted less frequently than the other two portfolios.

Although Manager C has a slightly lower management fee, which would result in a lower tracking error, the benefit is unlikely to offset the combined higher tracking error related to the other portfolio characteristics.

A and C are incorrect.

请问这道题不是在考TE的U-shape吗?数量越大+cost越高就等于TE越大呀


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已采纳答案

笛子_品职助教 · 2023年08月29日

嗨,爱思考的PZer你好:


基础讲义82页

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笛子_品职助教 · 2023年08月29日

嗨,努力学习的PZer你好:


请问这道题不是在考TE的U-shape吗?

这道题不是在考U -shape.

TE的决定因素有很多,本题的表格列出了多个因素。

不能只看股票数量这一个因素,而忽视了其他所有的因素。


数量越大+cost越高就等于TE越大呀

这是有前提的。

采用full replication,并且在benchmark的数量很多的时候,portfolio数量越多,TE越大。

本题并无这个前提。本题,并没有说,采用full replication的方法。而且S&P500指数,有500只股票,还没有多到让TE增大的程度。


实际上,U-shape解题的时候,很少会用到。

因为U- shape要说明的问题是:在benchmark number很多的时候,采用full replication不合适,因为强行使用full replication会造成很大的TE。因此在这个时候,要用抽样或者最优化方法。本质是为了引出后面的方法。


这就导致U-shape 很少出题,因为既然full replication不合适,那么直接就不会用full replication,既然没用full replication,也就不存在U shape的问题。



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加油吧,让我们一起遇见更好的自己!

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