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mario · 2020年10月03日

问一道题:NO.PZ2019012201000073 [ CFA III ]

问题如下:

In Fund 3’s latest quarterly report, Ap reads that Fund 3 implemented a new formal risk control for its forecasting model that constrains the predicted return distribution so that no more than 60% of the deviations from the mean are negative.

Which risk measure does Fund 3’s new risk control explicitly constrain?

选项:

A.

Volatility

B.

Skewness

C.

Drawdown

解释:

Skewness measures the degree to which return expectations are non-normally distributed. If a distribution is positively skewed, the mean of the distribution is greater than its median—more than half of the deviations from the mean are negative and less than half are positive—and the average magnitude of positive deviations is larger than the average magnitude of negative deviations. Negative skew indicates that that the mean of the distribution lies below its median, and the average magnitude of negative deviations is larger than the average magnitude of positive deviations. Fund 3’s new risk control constrains its model’s predicted return distribution so that no more than 60% of the deviations from the mean are negative. This is an explicit constraint on skewness.

Volatility 和mean没关系?sd不是衡量波动吗?
1 个答案

maggie_品职助教 · 2020年10月09日

嗨,爱思考的PZer你好:


这道题问的不是波动性而是偏度哦,这个是一级数量的知识点。

题干:基金3的最新发布季度报告中称,基金3对其预测模型实施了一种新的正式风险控制(请看讲义257页Formal Constraints),该模型限制了预期收益分布,使其偏离均值的偏差不超过60%。

注意正太分布是对称性的分布,相当于均值左右两边正负收益的分布的对称的,即偏度等于0,均值等于中位数。而这里题干描述的是“deviations from the mean”偏离均值的程度不超过60%,说明这不是对称分布啊。在衡量非对称分布的偏度的时候用的是skewness。

可以参考下下面的截图:


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