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小火炉 · 2024年08月15日

是不是active risk降低?这个怎么算啊

NO.PZ2019012201000031

问题如下:

Initially, Fund TMT held active positions in two real estate stocks—one was over-weighted by 1 %, and the other was under-weighted by 1%. Fund TMT traded back to benchmark weights on those two stocks. Then, TMT selected two different stocks that were held at benchmark weights, one automobile stock and one technology stock. TMT over-weighted the automobile stock by 1% and underweighted the technology stock by 1%. What was the effect of TMT’s two trades on its active share? TMT’s active share:

选项:

A.

decreased.

B.

remained unchanged.

C.

increased.

解释:

B is correct.

考点:Active Share and Active Risk

解析:只有当投资组合的主动权重绝对值的总和发生变化时,主动份额才会发生变化。在TMT基金的两笔交易中,初始头寸和新头寸都涉及两只股票,一只减持1%,另一只增持1%,因此主动权重绝对值的总和没有变化,所以主动份额并没有改变。

是不是active risk降低?这个怎么算啊

1 个答案

笛子_品职助教 · 2024年08月15日

嗨,从没放弃的小努力你好:


是不是active risk降低?这个怎么算啊

Hello,亲爱的同学~

场景一:低配地产股1%,高配另一个地产股1%

场景二:低配技术股1%,高配汽车股1%

问:场景二相对场景一,active share怎么变。


根据active share的计算公式,

可以计算出:

这道题里,场景一和场景二的active share的数值都是1%,答案可以是the same。

the same也就是B选项的remained unchanged。


如果问active risk,由于active risk有两个来源。

1)来源1:active share。

2)来源2:correlation,即portfolio与benchmark在factor上的差异。如果有差异,会增加active risk。


已知场景二与场景一的active share相同。

因此active risk的差异,取决于factor。

我们看场景二与场景一的factor。

场景二,portfolio与benchmark在factor上有差异。行业权重与benchmark不同。

场景一:portfolio与benchmark在factor上无差异。行业权重与benchmark相同。


因此场景二的active risk大于场景一,active risk是increase的。

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