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Lich · 2023年08月28日

请教老师该题

NO.PZ2023010903000027

问题如下:

For the international portion of the investment portfolio, Stapleton suggests that Sapphire invest in an MSCI EAFE index portfolio specifically tailored for the founda­tion rather than investing in an existing index fund. Anne Rowland, Sapphire’s board chair, asks her how this could be accomplished, given that the initial allocation is only $15 million. Stapleton suggests that Sapphire hire a manager to purchase a portfolio of securities that are a mutually exclusive yet comprehensive subgroup of the index designed to track the index return and risk characteristics.

The portfolio method suggested by Stapleton to replicate the MSCI EAFE Index is best described as:

选项:

A.

optimization

B.

stratified sampling

C.

a blended approach

解释:

The portfolio method that Stapleton is describing is stratified sampling. In equity indexing, stratified sampling methods are most frequently used when the portfolio manager wants to track indexes that have a large number of constituents or when dealing with a relatively low level of assets under management. In stratified sampling, the portfolio manager holds a limited sample of the index constituents arranged in distinct strata or subgroupings. Arranged correctly, the various strata will be mutually exclusive and also exhaustive and should closely match the characteristics and performance of the index.

A is incorrect. Optimization typically involves maximizing a desirable characteristic or minimizing an undesirable characteristic, subject to one or more constraints.

C is incorrect. An indexed portfolio can be managed using a blended approach consisting of full replication for more liquid issues and stratified sampling or optimization for less liquid issues.

如题

1 个答案

笛子_品职助教 · 2023年08月29日

嗨,爱思考的PZer你好:


Hello,亲爱的同学~


首先理解stratified sampling的知识点。

stratified sampling策略是指,把index的股票分成几个组,每个组抽出几个股票作为代表。

这样这些按组抽样的股票,能代表各自对应的组。这些股票加在一起,就能模拟index的表现。


再结合本题:


根据红线文字:斯台普顿建议Sapphire聘请一名经理来购买一个证券组合,这些证券是指数的一个相互排斥但全面的子组


由于这里提到了分组,因此是stratified sampling。

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