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火与冰 · 2023年08月08日

reverse optimization method 权重直接是市值权重吗?

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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.

选项:

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:



老师上课不是说reverse optimization分两步,第一步用市值权重来估计expected return, 再用估计出来的expected return来求权重吗?

1 个答案

lynn_品职助教 · 2023年08月09日

嗨,从没放弃的小努力你好:


reverse optimization method 权重直接是市值权重吗?

老师上课不是说reverse optimization分两步,第一步用市值权重来估计expected return, 再用估计出来的expected return来求权重吗?


两个说法都是正确的哈。


reverse optimization第一步是根据市场组合基金的权重反求出暗含的E(r),简单说就是以市值权重作为输入变量,然后得到implied return。


第二步跟MVO的过程是一样的,根据第一步求出的E(r)和历史统计得来的标准差和correlation进行正向最优化。


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努力的时光都是限量版,加油!

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