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早睡早起快乐学习 · 2022年10月26日

不理解这道题

NO.PZ2020033002000008

问题如下:

There is a bond portfolio consisted with two bonds. bond A and bond B .The values of bond A and bond B are $60 millions and $40 millions respectively. The one-year probabilities of default and the recovery rate of bond A are 5% and 60% respectively, while for bond B are 7% and 50%. Give an assumption that the probability of joint default is 0.5% and the default correlation is 20%. what is the best estimate of the credit VaR at a 98% confidence level?

选项:

A.

USD 17,400,000

B.

USD 21,400,000

C.

USD 41,400,000

D.

USD 44,000,000

解释:

B is correct.

考点:Credit VaR

解析:

Bond A 违约的损失是60*1-60%=24 million

Bond B违约的损失是40*1-50%=20million

A B同时违约的概率是 0.5%

Bond A 违约但是bond B不违约的概率是 5%-0.5%=4.5%

Bond B违约但是bond A不违约的概率是7%-0.5%=6.5%

根据谨慎性原则 98% confidence WCL=24million

credit VaR=24-2.6=21.4 million

看文字解析有点晕乎,可不可以再详细解释一下这道题啊老师

2 个答案
已采纳答案

DD仔_品职助教 · 2022年10月26日

嗨,爱思考的PZer你好:


同学你可以详细的说一下具体哪一步不理解吗?

我只能猜你是对WCL和EL计算不明白,请看下面的手写过程:


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虽然现在很辛苦,但努力过的感觉真的很好,加油!

黄开罗 · 2023年07月18日

请问老师AB都不违约时,他们的PD需要怎么算?需要考虑joint prob吗?

DD仔_品职助教 · 2023年07月19日

嗨,努力学习的PZer你好:


我们不考虑都不违约的情况,都不违约损失就是0,不在我们计算的范畴内。

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加油吧,让我们一起遇见更好的自己!

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