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极乐鸟的小松木 · 2024年01月30日

组合b为什么不对?

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.

b的组合个数与基准更接近,代表他的调仓换股非常频繁,同时费率最高,成本非常高,为什么不选c呢

1 个答案

笛子_品职助教 · 2024年01月30日

嗨,努力学习的PZer你好:


b的组合个数与基准更接近,代表他的调仓换股非常频繁,同时费率最高,成本非常高,为什么不选c呢

Hello,亲爱的同学~

同学说manager B的组合个数与基准更接近,代表它调仓换股非常频繁。不是这样的。

manager B的调仓换股并不频繁,题目里说,Rebalance与reconstitution都是季度(quanrterly)。

manager B 个数与基准越接近,复制基准的程度越高,tracking error越小。

manager B B的费率高,这确实会增加trakcing error。这里同学理解正确。


只是这道题问的是,哪个trakcing error最高。

因此要把manager ABC都进行比较分析。

我们看到,manager B只有费率高这一项,会增加trakcing error,其他项都没有增加trakcing error。

而manager C有 Number of holdings、dividend reinvestment、reconstitution,三个项目都增加了trakcing error。

因此manager C的trakcing error比B要高。最高的是manager C不是manager B

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

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