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noemie · 2021年11月07日

违约相关性0.4什么时候有用

NO.PZ2020033003000103

问题如下:

Jane is a credit analyst. She is asked to calculate the expected credit loss of a small portfolio. There are two bonds,Bond A and Bond B in this portfolio. Jane collects several data about the two bonds.

The probability of joint default of the two bonds is 2%, and the correlation between the two bonds is 0.4.

Based on the above information, the expected credit loss is ?

选项:

A.

$28,000.

B.

$16,000.

C.

$12,000.

D.

$42,400.

解释:

A is correct.

考点:Credit VaR-Introduction

解析:组合的EL对于两个分别的EL相加

EL(A) = $1,000,000 x 0.04 x 0.30 = $12,000

EL(B) = $800,000 x 0.05 x 0.40 = $16,000

12000+16000=28000

此题给了相关性,是在什么条件下这个相关性是有用的呢?

1 个答案

李坏_品职助教 · 2021年11月07日

嗨,努力学习的PZer你好:


Expected credit loss不需要考虑相关性,直接用两个bond的PD * LGD * EAD就好了。


相关性在计算market risk里面的var是会用到的,根据相关系数算出来两个bond(或者股票)组合的标准差σ,然后再算组合的var

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虽然现在很辛苦,但努力过的感觉真的很好,加油!