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BAiko · 2022年03月14日

关于TMT和benchmark的关系

NO.PZ2019012201000031

问题如下:

Initially, Fund TMT held active positions in two realestate 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。

我以为题目的意思是TMT中原本只有两只股票,且股票与假设本身有100只股票的benchmark相同。后来又增加了两只benchmark中有的股票。

但是weight的方面我又没办法理解。如果只有两只股票,怎么做到和比如本来有100只股票的benchmark权重只差1%?


然后我的逻辑是本来TMT只有两只,现在多了两只变4只,在向benchmark靠近了,所以activeshare在减少。


所以TMT和benchmark的股票结构以及weight我该怎么理解?



1 个答案

伯恩_品职助教 · 2022年03月14日

嗨,从没放弃的小努力你好:


这道题问与benchmark相比,组合调仓前后主动风险发生怎样的变化(状态2相当于是一个归零的状态,这里比较的是两次调仓即状态1和3)。与大盘相比,Fund TMT第一次调仓的主动差别投的是同一个行业,而换仓后(第二次调仓)持有的不同行业的股票,虽然调仓前后active share相同都是1%,但调仓后投资的是不同行业,组合与benchmark的相关性更小(与大盘更不像),所以主动风险更高。

举个例子吧,TMT比作A,benchmark比如B,A有100个小球,用1到50分别标记,也就是两个是一样的(比如两个1,两个2.。。),B也一样,第一次给A增加一个1,减少一个3,然后第二次再变回,还是两个1和两个3,第三次把一个1换成72,把3换成71.那么第一次和第三次是不是都是仅仅换了两个球的区别。所以active share是一样的。但是第三次换成别的球了(1-50之外的了)变得B更不像了,所以active risk是上升的

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