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梁 · 2022年03月13日

老师还是没能理解为什么不是a

NO.PZ2019012201000050

问题如下:

Winthrop and Tong agree that only the existing equity investments need to be liquidated. Tong suggests that, as an alternative to direct equity investments, the new equity portfolio be composed of the exchange-traded funds (ETFs) shown in Exhibit 1.

Based on Exhibit 1 and assuming a full-replication indexing approach, the tracking error is expected to be highest for:

选项:

A.

XIU

B.

SPY

C.

EFA

解释:

An index that contains a large number of constituents will tend to create higher tracking error than one with fewer constituents. Based on the number of constituents in the three indexes (S&P/TSX 60 has 60, S&P 500 has 506, and MSCI EAFE has 933), EFA (the MSCI EAFE ETF) is expected to have the highest tracking error. Higher expense ratios (XIU: 0.18%; SPY: 0.10%; and EFA: 0.33%) also contribute to lower excess returns and higher tracking error, which implies that EFA has the highest expected tracking error.

如果跟踪的index本来就有很多股 那我复制的也就需要很多股 尽量和index重叠的话tracking error就小了 为什么这里反而选数量少的


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已采纳答案

笛子_品职助教 · 2022年03月13日

嗨,努力学习的PZer你好:


这题不选A,这题选C。

对于full-replication indexing approach,股票数量越多,跟踪误差越大,C选项有933只股,跟踪误差最大。

费用越高,跟踪误差越大,C选项费用最高,跟踪误差最大。

综合起来,C的跟踪误差最大。本题要求选C。


如果跟踪的index本来就有很多股 那我复制的也就需要很多股 尽量和index重叠的话tracking error就小了 为什么这里反而选数量少的

index里的股票数量越多,portfolio就越难进行复制。这个点举个例子:

比如一个股票index,只要50个股票,那么portfolio只要买齐50个股票就可以了。portfolio很容易复制index,tracking error小。

比如一个股票index,有3000个股票,那么portfolio要买齐3000个股票才可以。有些股票可能流动性很差,买不到,因此portfolio和index差距就大,tracking error大。


所以它的比较是,个股多的index,和个股少的index,哪个更容易复制。比较是两个index的复制难度。

不是同一个index,比较两个portfolio的tracking error



知识点是强化班第9页的U 形图



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努力的时光都是限量版,加油!

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