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董董Dong · 2024年03月12日

对return based approach

NO.PZ2019012201000061

问题如下:

Knight foresees a possible scenario in which the investment universe for the Heydon Quant Fund is unchanged but a new factor is added to its multifactor model. Knight asks Nowacki whether this scenario could affect the fund’s investment-style classifcations using either the returns-based or holdings-based approach. The most appropriate response to Knight’s question regarding the potential future scenario for the Heydon Quant Fund is:

选项:

A.

only the returns-based approach

B.

only the holdings-based approach

C.

both the returns-based approach and the holdings-based approach

解释:

C is correct. Because the Heydon Quant Fund would be changing its factor rmodel by adding a new factor, the correlations of the fund’s returns with the factors would likely change and the returns-based style would change. Even though the investment universe is unchanged, the portfolio holdings would likely change and the holdings-based style classifcation would also will be affected.

提问的是会对style classification造成影响。那他如果本身就是return- based style,新加入一个因子也就是多元回归模型公式变了,但还是return based style呀,虽然持仓会变化,但style没变呀

1 个答案

笛子_品职助教 · 2024年03月13日

嗨,努力学习的PZer你好:


提问的是会对style classification造成影响。那他如果本身就是return- based style,新加入一个因子也就是多元回归模型公式变了,但还是return based style呀,虽然持仓会变化,但style没变呀


Hello,亲爱的同学~

这里需要对style这个词做定义。

本题的style是指,运用了哪些因子。


在理解了style定义的基础上,老师举例说明:

原先的portfolio里只有2个因子,市值因子和价值因子。

于是,把portfolio return与各个因子收益做回归,会发现size与value,这两个因子很显著。

因此,return based的分析结果为:portfolio使用了size与value这2个因子。


现在,新加了一个质量因子,portfolio有3个因子了,分别是,市值因子、价值因子、质量因子。

于是,把portfolio return与各个因子收益做回归,会发现size、value、qualtiy,这三个因子很显著。

因此,return based的分析结果为:portfolio使用了size、value、quality这3个因子。


从上面的例子看出:return based的分析结果改变了。

portfolio的风格,从原先的:size + value风格,变为size + value + quality风格。style变了。

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

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