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七七 · 2024年08月09日

active factor weighting的计算为什么不会因为active而只算单边

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NO.PZ202207040100001004

问题如下:

Based on Exhibit 2, the excess return of MultiFAK arising from active factor weighting is closest to:

选项:

A.0.04%. B.0.25%. C.0.28%.

解释:

Solution

A is correct. The excess return arising from active factor weights is 0.04%. Compare the weights between the portfolio and the index: The only two that differ are the weights for Low Volatility and Momentum. From the following table, the total contribution to the return caused by active sector weighting is the sum of

0.28% Overweighting Low Volatility + (–0.24%) Underweighting Momentum = 0.04% rounded.

Note that MultiFAK used fewer holdings for the Quality segment and, therefore, incurred active security selection risk—but not active factor risk since the Quality segment weight is the same as that of the index. Here is the full calculation:


0.036% rounds to 0.04%.

B is incorrect. Results of all active management are shown at the bottom of the Total Active Difference column of the table. This is the full attribution of the active segment overweights plus the result of the active security selection on the Quality segment.

C is incorrect. This is the value of the active overweight to the Low Volatility segment, but it excludes the active underweight to Momentum. See the Low Volatility row in the Factor Weight column of the table.

按照上一题的提问,采取的是risk reduction策略,因为over weight了low volitility因子。

那这一题,看到问active factor weighting,而不是直接问factor weighing,就自然想到了 low volitility因子是主动高配的,那另外一个因子就是被动低配了。所以算active factor weighting时,就只考虑low volitility因子,结果是0.28%。请问这么想哪里有问题

2 个答案

笛子_品职助教 · 2024年08月10日

嗨,努力学习的PZer你好:


因为资产规模是固定的,一个因子提高了5%的配置,就相应有另外一个因子降低了5%。为什么不是被动低配


一个因子提高了5%,并不表示另一个因子降低了5%


例如,对小盘股提高5%,只能表示对大盘股减少5%。但是不能表示对value因子降低5%


因为可以既买小盘股,又买价值股,即小盘价值股。



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虽然现在很辛苦,但努力过的感觉真的很好,加油!

笛子_品职助教 · 2024年08月09日

嗨,从没放弃的小努力你好:


Hello,亲爱的同学~

low volitility因子是主动高配的,意味着high volitility因子是被动低配的。

其他因子不存在被动低配的说法。

各个因子之间是独立的。


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努力的时光都是限量版,加油!

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