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栗栗🌰 · 2024年03月17日

关于VaR的损失是最大值还是最小值的问题

NO.PZ2018070201000032

问题如下:

The 5% one-day Value at Risk of $2 million can be interpreted by:

选项:

A.

It expects to lose a minimum $2 million in one day with 5% probability.

B.

It expects to lose no more than $2 million in one day with 5% probability.

C.

It expects to lose at least $2 million in one day with 95% probability.

解释:

A is correct.

The VaR is a minimum extreme loss metric in a time period given the probability.

选项A “It expects to lose a minimum $2 million in one day with 5% probability”换一种说法的话,可以表述为"it expects to lose a maximum of $2 million in one day with 95% probability"吗?


栗栗🌰 · 2024年03月17日

追加一个问题:课上老师说VaR代表的是最大还是最小损失需要根据题目来看,想问下一般什么样的描述对应最大损失,什么样的描述又对应着最小损失呢?比如最小损失一般对应的是尾部风险吗(发生概率比较小的时候,比如5%)?

4 个答案
已采纳答案

Kiko_品职助教 · 2024年03月19日

嗨,爱思考的PZer你好:


嗯嗯你是担心到时候同时出现最大和最小的描述都是对的,这种情况考试大概率不会出现。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

Kiko_品职助教 · 2024年03月19日

嗨,从没放弃的小努力你好:


不客气,加油~

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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!

Kiko_品职助教 · 2024年03月19日

嗨,爱思考的PZer你好:


如果考试万一万一出现两个都对的情况,选择最小损失那个描述。就是A这样的情况。原版书给的定义是这个。我们按照原版书来。但你要知道实际两种描述都是对的。

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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!

栗栗🌰 · 2024年03月19日

好的,谢谢老师!

Kiko_品职助教 · 2024年03月18日

嗨,爱思考的PZer你好:


选项A “It expects to lose a minimum $2 million in one day with 5% probability”换一种说法的话,可以表述为"it expects to lose a maximum of $2 million in one day with 95% probability"吗?

---可以。

没太听懂你的追问,这两种说法都是可以的,选项里有其中哪一个都是对的,考试一般就是本题这样出题,一般不会出现两个都对的答案。

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加油吧,让我们一起遇见更好的自己!

栗栗🌰 · 2024年03月19日

感谢老师解答!第二个问题实际上是对课上老师的讲解不太理解,因为如果VaR可以理解为最大值和最小值的话,如果不知道什么情况下用最大值或最小值,题目是做不出来的

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