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考拉 · 2023年12月30日

为什么不是A?

NO.PZ2023010903000029

问题如下:

The Cherry Street Foundation is a nonprofit institution that provides resources for refugee children around the world. Over the last several years, Cherry Street has experienced a significant increase in donations, resulting in an increase to the foundation's investment portfolio of more than $100 million. Consequently, Ellie Blumenstock, CFA, Cherry Street's founder, recently concluded that the time had come to hire a professional chief investment officer(CIO) to manage this large pool of assets. Today, Blumenstock is interviewing A.J. Gelormini,a portfolio manager with over two decades of experience, for the CIO role.

At the start of the interview, Blumenstock asks Gelormini to explain his approach to investing in global equities. Gelormini's response includes the following statements:

Statement 2: I would build passively managed funds internally through direct investment in individual securities. My focus would be on constructing funds that minimize tracking error versus the benchmark, subject to a constraint that each fund's volatility equals that of its relevant benchmark. Cherry Street would have several such funds, all under $5 million in assets, with benchmarks containing over 2,000 constituents.

Given Gelormini's comments in Statement 2, the best approach he could take to construct passive portfolios for Cherry Street is:

选项:

A.

full replication

B.

stratified sampling

C.

optimization

解释:

Optimization typically involves maximizing a desirable element or minimizing an undesirable characteristic, subject to one or more constraints. In this case, Gelormini has stated that he would build portfolios that would minimize tracking error, subject to a constraint on portfolio volatility.

full replication 不就可以最小化tracking error了?

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笛子_品职助教 · 2024年01月02日

嗨,爱思考的PZer你好:


但是如果是full replication,一定是对应相关的benchmark进行复制的。在您说的这个例子中,我等比例复制的也是在罗素2000呀,怎么会tracking error 不是最小呢

Hello,亲爱的同学~

如果要完全复制罗素2000,由于罗素2000的股票很多,而且都是中小盘股,流动性不佳。对于这样的index,使用full replication方法会带来比较大的交易成本,从而引起较大的trakcing error。



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考拉 · 2023年12月31日

但是如果是full replication,一定是对应相关的benchmark进行复制的。在您说的这个例子中,我等比例复制的也是在罗素2000呀,怎么会tracking error 不是最小呢

笛子_品职助教 · 2023年12月31日

嗨,爱思考的PZer你好:


为什么不是A?full replication 不就可以最小化tracking error了?


Hello,亲爱的同学~

full replication 不一定可以最小化tracking error。


如果benchmark不适合使用full replication,则强行使用full replication 方法,会有较大的tracking error。

例如罗素2000指数,由2000只流动性较差的小盘股构成,则full replication 会引起较大交易成本,有较高tracking error。


根据本题信息:加粗加黑字

Statement 2: I would build passively managed funds internally through direct investment in individual securities. My focus would be on constructing funds that minimize tracking error versus the benchmark, subject to a constraint that each fund's volatility equals that of its relevant benchmark. Cherry Street would have several such funds, all under $5 million in assets, with benchmarks containing over 2,000 constituents.


在某个约束下,最小化tracking error,这是最优化的特征。

知识点如下:


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