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muamadove · 2022年05月15日

这道题怎么看出来是问两种方法的市值权重之差

* 问题详情,请 查看题干

NO.PZ201803130100000401

问题如下:

Contrast, using the information provided above, the results of a reverse optimization approach with that of the MVO approach for each of the following:
i. The asset allocation mix. Justify your response.

解释:

■ The asset allocation weights for the reverse optimization method are inputs into the optimization and are determined by the market capitalization weights of the global market portfolio.

■ The asset allocation weights for the MVO method are outputs of the optimization with the expected returns, covariances, and a risk aversion coefficient used as inputs.

■ The two methods result in significantly different asset allocation mixes.

■ In contrast to MVO, the reverse optimization method results in a higher percentage point allocation to global bonds, US bonds, and global equities as well as a lower percentage point allocation to cash and US equities.

The reverse optimization method takes the asset allocation weights as its inputs that are assumed to be optimal. These weights are calculated as the market capitalization weights of a global market portfolio. In contrast, the outputs of an MVO are the asset allocation weights, which are based on (1) expected returns and covariances that are forecasted using historical data and (2) a risk aversion coefficient. The two methods result in significantly different asset allocation mixes. In contrast to MVO, the reverse optimization method results in a 4.9, 5.5, and 10.1 higher percentage point allocation to US bonds, global equities, and global bonds, respectively, and a 6.1 and 14.4 lower percentage point allocation to cash and US equities, respectively.
The asset allocation under the two methods is as follows:



这道题怎么看出来是问MVO和averse optimization两种方法的市值权重之差

1 个答案

lynn_品职助教 · 2022年05月16日

嗨,爱思考的PZer你好:


是从题干中看出来的Contrast, using the information provided above, the results of a reverse optimization approach with that of the MVO approach for the asset allocation mix.


比较一下reverse optimization 和 MVO配置权重的差异。


这个题干是比较绕,划横线的可以不看。


还有一个办法是这两个方法放在一起最大的考点就是权重的差异。

MVO是AO中最常用的一种,通过将历史数据估计得出的E(R)作为输入变量,得到最优的一组权重。注意这里的收益率是用历史数据估计得到的,是MVO的输入变量,不是结果,这是和另外两种方法(反向MVO和它的改进方法)最重要的区别。

 

reverse optimization对MVO进行了改进,以市值权重作为输入变量,然后得到implied return。

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