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蕾 · 2024年01月15日

请解释A B选项为啥合适

NO.PZ2018110601000021

问题如下:

Which of the following statement regarding factor-based asset allocation is least appropriate?

选项:

A.

Factors are typically based on market premiums and anomalies

B.

A common way to construct factors is self-financing investment.

C.

Factors are typically different from the fundamental or structural factors used in multi-factor models.

解释:

C is correct

考点:factor-based asset allocation

解析:Fama-French三因素模型是典型的factor-based asset allocation,既包含market premium,又包含size和book-to-market两个基本面因子(fundamental factors/ anomalies)。构建这些因子的方法是self-financing investment,或者称作zero dollar investment,例如:Size factor return=Small-cap stock return−Large-cap stock return。

请解释A B选项为啥合适

1 个答案

lynn_品职助教 · 2024年01月15日

嗨,爱思考的PZer你好:


请解释A B选项为啥合适


这道题考察的是factor-based asset allocation,AA的reading5,框架图(强化班讲义)第9页,原版书第一本第324页。

B选项:构建risk factor的方法是self-financing investment。这句话可以当做结论记一下,在基础班讲义142页。


同学看上面讲义红字及下面举的例子


self-financing investment,又叫zero (dollar) investment,通过买入和卖空等量资产而产生的净价值为零的投资组合。


例如,想要构建size factor,就可以short large-cap stock,拿到cash,再用这些钱去long small-cap stock,这两个头寸净价值为零同时剥离出了size这个风险因子。


用解析中的Fama-French模型来解释,Fama-French的三个因子是market factor, size factor & value factor。


因为承担了市场风险,所以获得market risk相关的风险补偿,这样的factor是market factor,对应的风险补偿叫market premium。


size factor在这个模型中是small company returns-big company returns前面的系数。


因为Fama-French发现,市值小的公司收益率往往比市值大的公司收益率高,也就是说收益与市值大小有关;


如果市场有效,那么这种关系是不成立的,正因为存在异常anomalies,所以投资者可以将规模这个因素单独挑选出来进行投资,承担与size相关的风险来获得补偿,这就是size factor。其他同理。


简而言之,anomalies市场异象在这里指的是size factor和value factor,是无法解释的但可以给投资者带来超额收益的因子。


而A选项说Factors are typically based on market premiums and anomalies,因子是来自于市场异常值和余值就是正确的。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

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