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gratitudechi · 2020年08月26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.

请问III如何理解

1 个答案
已采纳答案

袁园_品职助教 · 2020年08月26日

同学你好!

由于参数p和LGD的方差、LGD的期望未知,所以即使求导之后,UL和EL也无法进行比较

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