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wawaxuanzi · 2021年11月07日

B怎么理解

NO.PZ2019012201000079

问题如下:

Which of following is correct regarding on Implementation Constraints?

选项:

A.

Twice the absolute risk will lead to twice the return.

B.

Markowitz efficient frontier shows that the relationship between return and risk is convex.

C.

There is a level of leverage beyond which volatility reduces expected returns.

解释:

C is corrent. Portfolios may face implementation constraints that decrease the IR if active risk increases beyond a specific level; Portfolios with high absolute risk targets face limited diversification opportunities, which may lead to a decrease in the SR. There is a level of leverage beyond which volatility reduces expected returns.

主要是说当杠杆过高,虽然可能会带来收益,但是风险也会增加,带来更大的波动,反而会降低收益。打个比方,昨天跌了10%,今天涨了10%,看起来好像是一样的。但是实际不是一回事,反而是亏损的(亏损1%),加杠杆后会进一步降低收益。

There may be constraints that prevent Manager A from scaling his active weights.So twice the absolute risk will not lead to twice the return, Markowitz efficient frontier shows that the relationship between return and risk is concave.

B选项怎么理解。。。。。。。
1 个答案

笛子_品职助教 · 2021年11月08日

嗨,爱思考的PZer你好:


有效前沿显示,收益和风险的关系是凸的,这句话是错的。


应该改为:有效前沿显示,收益和风险的关系是凹的。这才对。


也就是说,把convex改为concave。


convex指的是,随着风险每增加一单位,收益的增加大于一单位,并且会越来越多。

concave指的是,随着风险每增加一单位,收益的增加会小于一单位,而且会增加得越来越少。


你可以简单记忆为:convex就是好的,赚多亏少。concave是不好的,赚少亏多。


图形上也可以看出来,是凹的。



图上可以清楚的看出,随着风险(variance)的增加,收益(expected return)增加得越来越少。是concave的。

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