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林旖晨 · 2020年09月25日

问一道题:NO.PZ2016082405000035 [ FRM II ]

问题如下:

Suppose a credit position has a correlation to the market factor of 0.5. What is the realized market value that is used to compute the probability of reaching a default threshold at the 99% confidence level?

选项:

A.

-0.2500.

B.

-0.4356.

C.

-0.5825.

D.

-0.6243.

解释:

D  A default loss level of 0.01 corresponds to -2.33 on the standard normal distribution. The

realized market value is computed as follows:

l2.33=2.33(0.5)m10.522.33(0.86603)=2.33(0.5)m0.31215=(0.5)m0.62430=m{l}-2.33=\frac{-2.33-(0.5)\overline m}{\sqrt{1-0.5^2}}\\-2.33{(0.86603)}=-2.33-{(0.5)}\overline m\\0.31215=-{(0.5)}\overline m\\-0.62430=\overline m

k是α的临界分位点,α是服从一般正态分布的,为什么k是-2.33?
1 个答案

小刘_品职助教 · 2020年09月25日

同学你好,

因为题目里说的违约概率99%对应的分位数,也就是-2.33,所以k是-2.33.

 

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NO.PZ2016082405000035 Suppose a cret position ha correlation to the market factor of 0.5. Whis the realizemarket value this useto compute the probability of reaching a fault thresholthe 99% confinlevel? -0.2500. -0.4356. -0.5825. -0.6243. A fault loss level of 0.01 correspon to -2.33 on the stanrnormstribution. The realizemarket value is computefollows: {l}-2.33=(\frac{-2.33-(0.5)\overline m}{\sqrt{1-0.5^2}})\\\overline m=-0.62430\enarray}\ 这里的correlation默认就是β吗,这两个不是不一样么

2021-05-04 17:45 2 · 回答

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2021-04-05 22:21 1 · 回答

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2021-03-18 10:18 1 · 回答

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2020-10-11 13:44 1 · 回答