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holicess · 2020年03月22日

问一道题:NO.PZ2016082406000005

问题如下:

Define unexpected loss (UL) as the standard deviation of losses and expected loss (EL) as the average loss. Further define LGD as loss given default, and EDF as the expected default frequency. Which of the following statements hold(s) true?

I.     EL increases linearly with increasing EDF.

II.   EL is often higher than UL.

III. With increasing EDF, UL increases at a much faster rate than EL.

IV. The lower the LGD, the higher the percentage loss for both the EL and UL.

选项:

A.

I only

B.

I and II

C.

I and III

D.

II and IV

解释:

ANSWER: C

Equation:E(CL)=E(n)E(LGD)=NpE(LGD)E{(CL)}=E{(n)}E{(LGD)}=NpE{(LGD)}shows that EL increases linearly with p, so answer I. is correct. Answer II. is not correct, certainly for concentrated portfolios. Equation: σ(CL)=p×σ2(LGD)+p×(1p)×[E(LGD)]2\sigma{(CL)}=\sqrt{p\times\sigma^2{(LGD)}+p\times{(1-p)}\times{\lbrack E{(LGD)}\rbrack}^2}shows that UL increases faster than EL linearly with p, so answer III. is correct. Finally, Answer II. is incorrect, as higher (not lower) LGD would lead to higher credit losses.

E(CL)=E(n)E(LGD)=NpE(LGD)

老师,这个式子没有看懂可以解释一下吗?谢谢

1 个答案

小刘_品职助教 · 2020年03月23日

同学你好,

E(CL) 就是预期损失 expected credit loss

等式翻译一下:预期损失=损失发生的次数*违约损失率=总次数(N)*每次预期违约率(p)*违约损失率(LGD)

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