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RyanR · 2023年04月19日

VaR为什么是0

NO.PZ2020033002000085

问题如下:

Durian Bank's risk control manager is using Creditrisk + to calculate the bank's 1% credit var. Durian Bank now has two large loans, one is 20 million US dollars, the other is 30 million US dollars, the two are not correlated. Which of the following conclusions about credit var is wrong?

I.Both VaR and WCL could be equal to zero.

II.Expected loss could exceed VaR

III.Expected loss is always smaller than the VAR.

选项:

A.

I and III

B.

I ONLY

C.

I and II.

D.III.

解释:

D is correct.

考点:Credit VaR

解析:比如两笔贷款的违约概率都是0.5%,两者联立的不违约概率是0.995*0.995等于99.0025%。此时99%的credit var等于0。worst case loss也是0。而expected loss不为零,比var和wcl大。

EL不是0,WCL=0。那Credit VaR就不等于0呀,只不过好像是一个负数。

2 个答案
已采纳答案

DD仔_品职助教 · 2023年04月20日

嗨,努力学习的PZer你好:


I也没有错呀,你可以举出II对的例子,不代表I就是错的呀。

答案举的例子就可以证明I对:有两个贷款的违约概率都是0.5%,那么他们一起都不违约的概率就是99.5%*99.5%=99.0025%,也就是说99.0025%的情况下损失为0。如果现在要求99%置信区间下的情况,99%的var和WCL肯定是0,因为超过99%的情况损失都是0了,99%的情况肯定也是0,所以I对。

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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!

DD仔_品职助教 · 2023年04月19日

嗨,从没放弃的小努力你好:


同学你好,

VaR是可以为负数的呀,VaR本身是损失的意思,负数就变成收益了,这种情况下II也是对的呀。

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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!

RyanR · 2023年04月20日

那所以II是对的,I就错了呀

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