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六姑娘 · 2021年10月20日

这道题这样算可以吗

NO.PZ2020033002000004

问题如下:

A bank granted Client A a total credit facility of $500,000, of which 70% is currently outstanding. The client's probability of default for the following year is estimated to be 2%, the loss given default is 50%, and the standard deviation of loss given default is 30%. The undrawn portion at the time of default assumes a 50% withdrawal. What is the bank's best estimate of expected and unexpected losses (standard deviation) ?

选项:

A.

EL = $3500, UL = $55,229

B.

EL = $3500, UL = $28,649

C.

EL = $4250, UL = $67,064

D.

EL = $4250, UL = $34,788

解释:

D is correct.

考点:Risk Contribution

解析:

AE=70%x$500,000+50%*30%*$500,000=$425,000

EL=425,000*2%*50%=4250

UL的公式如下:

UL=AEp×σLGD2+p×(1p)×LGD2UL=AE\ast\sqrt{p\times\sigma_{LGD}^2+p\times{(1-p)}\times{LGD}^2}

代入公式,有

UL=34,788

这道题我在算出el后,用wcl(我认为最大损失的(也就是所有敞口ead))减去el,得出ul,这样错在哪里?

1 个答案

品职答疑小助手雍 · 2021年10月21日

同学你好,错误点是,定义上来说,WCL是以confidence level为前提的数值,不一定就是全部的EAD。

这题不知道怎么下手的原因就是我们对那个从一级到二级算UL的公式其实是有印象的,只是这题又多了一步PD的方差的计算。不过在没有给出confidence level的题目中,也只能这样计算,这公式算是考纲里不知道confidencelevel的情况下计算UL的仅有的方法了。确实不容易想到。

不过二级考试的时候,直接考这个公式的使用的概率不是很高,毕竟一级已经考过了。

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