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youmima · 2023年08月13日

full replication和stratified sampling的选择

NO.PZ2023010903000028

问题如下:

Välimaa next considers the transition of the Fund’s portfolio holdings, which have a total market value of EUR 150 million. She is constructing the portfolio using individual equities and considers the following methods: full replication, stratified sampling, and optimization. The benchmark for the portfolio is the FTSE Eurotop 100 Index, which is based on market capitalization and consists of 100 of the largest publicly traded European companies. The investment committee prefers not to use sophisticated algorithms that are difficult to understand.

Determine, from the three methods that Välimaa is considering, the most appropriate method for constructing the equity portfolio. Justify your response.

选项:

解释:

Answer

Full replication is suitable.

The value of the Fund’s equity portfolio is EUR 150 million and is large enough to follow a full replication approach of the FTSE Eurotop 100 Index. The constituents of this index are the top 100 large capitalization European equities, which are likely liquid and available for trading. The full replication approach requires owning each of the securities in the benchmark portfolio. Tracking error is likely to remain low since the number of constituents in this index is not large.

Stratified sampling is less appropriate since it does not track the index as closely as full replication, which would result in higher tracking error relative to full replication. The board prefers not to use sophisticated algorithms that are difficult to understand, making the optimization approach less appropriate.

The investment committee prefers not to use sophisticated algorithms that are difficult to understand.

题干中没有提及对tracking error的偏好,也没有说在乎不在乎cost,但是解析里面是只是通过tracking error来排除stratified sampling的。所以是代表index里面,要优先选择tracking error小的吗?

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笛子_品职助教 · 2023年08月13日

嗨,从没放弃的小努力你好:


题干中没有提及对tracking error的偏好,也没有说在乎不在乎cost,但是解析里面是只是通过tracking error来排除stratified sampling的。所以是代表index里面,要优先选择tracking error小的吗?


Hello,亲爱的同学~

虽然题目中没有提及对track error的偏好,但是我们还是要默认,要选一个tracking error小的。

毕竟跟踪一个index,tracking error越小越好。

题目中的描述,这个index,股票数量只有100只,流动性都非常好,portfolio的规模有1.5亿元,这些都说明,更合适用full replication.



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