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皓月 · 2024年11月22日

这题是在问啥啊

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NO.PZ202212280100002701

问题如下:

The risk- free rate is 2.0%, and the global market risk premium is 5.5%. 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:

i. The asset allocation mix

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:

看了解析好像就是对比MVO和revser optimization,我理解错了吗?

1 个答案

Lucky_品职助教 · 2024年11月22日

嗨,从没放弃的小努力你好:


同学你好:


你的理解是正确的。

这道题是practice题目,主要考察投资组合管理中的均值 - 方差优化(MVO)和反向优化(Reverse Optimization)方法在资产配置组合方面的应用及对比。


还有就是在考资产配置组合计算能够根据给定的各类资产的市值、预期回报、贝塔值等数据,计算在不同优化方法下的资产配置权重,并计算出两种方法之间的差异。这是比较新颖的考法,resample的数据肯定会直接给的,考试时间肯定不够。


MVO方法用的是historical data,所以expected return就是历史数据。这道题因为reverse optimization方法用的是 implied returns ,所以要用CAPM分别计算资产的return。

global market risk premium × Global Bonds的 beta是符合CAPM的。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

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2024-01-07 12:19 2 · 回答