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506623496 · 2021年09月18日

VaR和skewness

NO.PZ2019012201000073

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.

题目表述是不是更像VaR?VaR和skewness在表述上如何区分?

1 个答案

笛子_品职助教 · 2021年09月22日

嗨,努力学习的PZer你好:


风险价值(VaR)是指在假定的市场条件下,在一定的时间段内,预期会在一定百分比的时间内以货币单位或占投资组合价值的百分比的最小损失  [1]    。比如3个月内,亏损超过10%的概率不高于5%。


skewness定义见以下知识点(来自一级数量)


具体到本题:


偏离均值的数值中,为负数的收益值,不超过60%。对比正态分布,如果是正态分布,均值为0,则50%的数值为负。所以这是一个关于偏度的阐述。



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努力的时光都是限量版,加油!

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