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Kate · 2024年08月15日

stratified vs optimization

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.

是不是可以用stratified sampling的情况如果题目说了minimize tracking error就要用optimization.

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笛子_品职助教 · 2024年08月15日

嗨,努力学习的PZer你好:


是不是可以用stratified sampling的情况如果题目说了minimize tracking error就要用optimization.

Hello,亲爱的同学~

只有minimize tracking error还不足以做出判断。

optimization是最优化的含义,数学上能实现最优化方法,需要有:目标函数、约束限制。

这两者都有,才可以说,就用optimation。


结合本题:

目标函数是:minimize tracking error。

约束限制是: subject to a constraint on portfolio volatility

----------------------------------------------
虽然现在很辛苦,但努力过的感觉真的很好,加油!

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