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雨洁🦄 · 2024年08月06日

什么情况下选择最优化的方法呢

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.

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.

关于最优化方法的选项

2 个答案

笛子_品职助教 · 2024年08月12日

嗨,从没放弃的小努力你好:


Hello,亲爱的同学~


这里有个知识点:

在适合使用full replication的时候,full replication最好。

在不适合使用full replicaitoni的时候,可以使用stratified sampling与optimation。


如果比较stratified sampling与optimation,optimation的trakcing error更低。

具体用stratified sampling还是optimation,要看题目的具体描述。


结合本题,本题适合使用full replication,因此stratified sampling与optimation都可以排除了。

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笛子_品职助教 · 2024年08月07日

嗨,努力学习的PZer你好:


Hello,亲爱的同学~

在不适合使用full replication的时候,例如index是流动性很差的中小盘股的时候,用最优化较好。

本题,index是流动性很好的大盘股,用full replication较好。

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雨洁🦄 · 2024年08月12日

那为什么不用stratified sampling呢

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