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super31002 · 2020年01月08日

问一道题: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.

借着这个题的解析提个问题,低tracking error,是要构成portfolio的股票数越多,还是要构成portfolio的股票数与构成index的股票数越接近。举个例子,index有500只股票构成,portfolio A有490只股票构成,portfolio B有505只股票构成,这种情况下哪种portfolio的tracking error更低。 此时,portfolio B按说会过拟合吧

1 个答案

maggie_品职助教 · 2020年01月09日

1、这是两个维度,如果只比较指数中包含的股票数量(不看组合),那么数量越多,TE越大。如果既有指数中包含的数量又有组合包含的数量(像这道题),那么看两者数量的接近程度,越接近,TE越小。

2、B不存在过度拟合,组合里的数量略高于或略低于指数中的数量都是正常的,有可能还没到下一次rebalance的时间。

jeffrey19861001 · 2020年02月12日

讲义76页里写的是:股票数量越多,TE越小啊。。。

maggie_品职助教 · 2020年02月13日

请看我刚才在另一题的回复,讲义76页三个小点不是单独理解的,是要一起看的。

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