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金融小白星 · 2024年05月30日

这题到底怎么判断?

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.

这题到底怎么判断,老师能说下吗,我记得从以前哪里看过一个题,100只top的股票用低于500millionaum的规模是无法完全复制的,所以应该选择分层抽样的方式,怎么这里就说要完全复制了??那150million能买1000小盘股的index吗?

1 个答案

笛子_品职助教 · 2024年05月30日

嗨,从没放弃的小努力你好:


这题到底怎么判断,老师能说下吗,我记得从以前哪里看过一个题,100只top的股票用低于500millionaum的规模是无法完全复制的,所以应该选择分层抽样的方式,怎么这里就说要完全复制了??那150million能买1000小盘股的index吗?


是否使用Full replication,取决于index的特点。

index里都是大盘股的时候,由于大盘股流动性很好,所以可以用Full replication。

反之,如果是mid - cap 或small -cap的index,由于中小盘股流动性不佳,此时考虑使用抽样或最优化方法。

FTSE Eurotop 100 Index, which is based on market capitalization and consists of 100 of the largest publicly traded European companies

看到这句话,就知道可以使用Full replication了。


至于AUM,equity里并没有一个量化标准,说多少AUM够。

本题有1.5亿资金规模,要买100只股票,每只股票平均150万元,钱够不够?

对于这个问题,其实不同的同学,都可以有自己的观点。

但考试解题的时候有一个技巧,既然原版书equity里并没有给AUM够与不够的量化标准,因此,解题可以默认AUM是足够的。

我们的生活中也是这样的:不明确否定,就是默认。

同学记忆一下这个解题技巧。

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