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我们 · 2021年03月30日

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NO.PZ2016082406000085

问题如下:

You are the credit risk manager for Bank Happy. Bank Happy holds Treasuries for USD 500 million: one large loan that has a positive probability of default for USD 400 million and another loan that has a positive probability of default for USD 100 million. The defaults are uncorrelated. The bank computes a credit VAR at 1% using CreditRisk+. Which of the following statements made about the VAR by the analyst who works for you is necessarily wrong?

选项:

A.

The VAR or WCL can be equal to zero.

B.

The expected loss on the portfolio exceeds the VAR.

C.

The expected loss on the portfolio is necessarily smaller than the VAR.

D.

None of the above statements is wrong.

解释:

ANSWER: C

The credit VAR could be zero. For instance, assume that the PD is 0.003. The joint probability of no default is then (10.003)(10.003)=99.4%{(1-0.003)}{(1-0.003)}=99.4\%. Because this is greater than the 99% confidence level, the worst loss is zero. The expected loss, however, would be 0.3% assuming zero recovery, which is greater than VAR.

请问为什么这里大于99%,WCL就等于0呢
1 个答案

袁园_品职助教 · 2021年03月31日

因为 worst case 的概率只有 0.6% 所以99.4%的情况下是不会发生的,也就是说我们只看到99%的时候 WCL=0

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