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ffflo · 2020年01月05日

问一道题:NO.PZ2018011501000013

问题如下:

Monteo and Chaterji also discuss other approaches to asset allocation. Chaterji tells Monteo that he understands the factor-based approach to asset allocation to have two key characteristics:

Characteristic 1 The factors commonly used in the factor-based approach generally have low correlations with the market and with each other.

Characteristic 2 The factors commonly used in the factor-based approach are typically different from the fundamental or structural factors used in multi-factor models.

Monteo concludes the meeting with Chaterji after sharing his views on the factor based approach.

Which of the characteristics put forth by Chaterji to describe the factor-based approach is/are correct?

选项:

A.

Only Characteristic 1

B.

Only Characteristic 2

C.

Both Characteristic 1 and Characteristic 2

解释:

A is correct.

The factors commonly used in the factor-based approach generally have low correlations with the market and with each other. This results from the fact that the factors typically represent what is referred to as a zero (dollar) investment or self-financing investment, in which the under-performing attribute is sold short to finance an offsetting long position in the better-performing attribute. Constructing factors in this manner removes most market exposure from the factors (because of the offsetting short and long positions); as a result, the factors generally have low correlations with the market and with one another. Also, the factors commonly used in the factor-based approach are typically similar to the fundamental or structural factors used in multifactor models.

老师你好,请问我的思路对不对:和market有low correlation的原因是因为在多因子模型中,market,size,value是三个因子互相独立,且根据线性回归的性质两个因子间不能存在强的线性关系。

1 个答案

Shimin_CPA税法主讲、CFA教研 · 2020年01月05日

嗨,爱思考的PZer你好:


你的思路是正确的,并且从线性回归来解释因子之间不能存在强的线性关系,角度很新颖。

为什么market,size,value三个因子互相独立,通常我会这样子解释,当个补充说明吧:

比如说Size factor是怎么构建的,方法是size factor return=Small-cap stock return−Large-cap stock return。这里用到的其实就是控制变量法。因为每一个股票都会受到市场、规模、价值、流动性、惯性等等各种因子的影响,但是我们现在只考虑规模。所以平均来看,其它的因子会均匀的分布在大盘股、中盘股、小盘股中。也就是说,如果把市场上所有的股票按规模排个序,分成三等分,有大盘股、中盘股、小盘股,用小盘股的收益减去大盘股的收益,就把规模这个因子单独提取出来了。其它因子,由于平均来看是均匀分布的,所以在减法中相互抵消,就不存在了。


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ffflo · 2020年01月06日

老师的解释很明了。谢谢!

ffflo · 2020年01月06日

其实我想说的是,多元回归中,如果x1,x2有强烈的线性关系,就会有多重贡献性的问题。所以low correlation是对的。正确吗?

Shimin_CPA税法主讲、CFA教研 · 2020年01月06日

嗯,完全正确~

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2020-10-17 16:40 2 · 回答

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2020-06-11 10:13 1 · 回答

第一个表述,the factors usein factor-baseapproahave low correlation with the market ,意思是因子与market的相关性很低吗?但是factor-baseapproa中有market factor 这个因子啊。请详细讲解,谢谢。

2020-02-23 13:13 1 · 回答

在讲义中的第143页中,Factors/ Asset Classes, Factor finitions, anHistoricStatistics里,有一个factor就是market,而且何老师上课也讲了,通过long Inx short cash就能获得market这个factor啊。

2020-02-11 20:25 3 · 回答

请问这个市场相关性第这个点如何理解,能否再下,多谢!

2020-01-12 15:13 1 · 回答