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沪上小王子 · 2024年01月07日

这道题想问什么,读不懂题

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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:

老师,这道题他想问啥啊,最后答案里连resample的数据都做出来了,这哪是考试时能算出来的?

2 个答案

lynn_品职助教 · 2024年02月09日

嗨,从没放弃的小努力你好:


The asset allocation mix 资产配置组合

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就算太阳没有迎着我们而来,我们正在朝着它而去,加油!

lynn_品职助教 · 2024年01月07日

嗨,努力学习的PZer你好:


老师,这道题他想问啥啊,最后答案里连resample的数据都做出来了,这哪是考试时能算出来的?


这道题也是practice题目哈,其实就是考一个公式,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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