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Alex · 2020年01月11日

问一道题: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 facto 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.

关于这道题我有个问题:


按照老师例题的讲解。holding方法是时点观察,如果加入新的factor,那么组合立刻会变,所以holding肯定受影响。

但是return方法是平均值啊, 如果加入新的factor,就算组合立刻变,但是平均整个时期,受影响有限啊。

为什么答案是两个都受影响?

1 个答案

maggie_品职助教 · 2020年01月13日

嗨,爱思考的PZer你好:


return based是基于因子做回归得到组合风格的结论,现在新加入了一个因子(假设之前是4个因素模型,现在是5因素模型,相当于模型都变了),那么回归就要重新做了,回归的结论肯定和之前不同。


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


maggie_品职助教 · 2020年01月15日

return based是基于过于的历史数据做回归,看的是历史平均来看组合的投资风格。这里点没错,但是这个题目说,增加了因子,相当于我们要重新做回归,以前得到的结论不能用了。这肯定是一个很大的变化。 holdings based是基于持仓来判断,组合持有什么我们就说它是什么风格,那现在组合要加入新的因子相关的股票,那持仓就变了,那我们也是要重新评估。

Alex · 2020年02月04日

谢谢

小小12 · 2020年03月06日

按理说,回归分析的时候是所有因子都要回归做权重的,所以模型都应该是一样的才能区分出哪个因子的比重大。而不能说开始就4个因子,多一个我就用5个因子(因为我们在回归前也不知道有几个因子起作用)。那么我怎么知道开始就没有第五个因子呢。而在短期内,第五个因子还没起作用,所以不应该回归出系数啊。

maggie_品职助教 · 2020年03月07日

我们做几元回归都是模型自己设定的,不是一开始就对所有因子做回归,二级数量讲过回归方程里因子越多,回归出来的问题越多。这里题目明确告知你现在要新增一个回归因子,那么我们会出来的系数就会有差别,上面4个还是5个只是针对这道题举例而已。

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