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kanjani · 2023年02月23日

σP =19.15是怎么算出来的?求详细计算列式

NO.PZ2018122701000018

问题如下:

The bank’s trading book consists of the following two assets:

Correlation (A, B) = 0.2

How would the daily VaR at 99% level change if the bank sells $50 worth of asset A and buys $50 worth of asset B?

Assume there are 250 trading days in a year.

选项:

A.

$0.2286

B.

$0.4776

C.

$0.7705

D.

$0.7798

解释:

B is correct.

考点 Parametric Estimation Approaches

解析 The trade will decrease the VaR by 0.4776。

易错点:求daily VaR,但题干给的是annual return。

t=0,组合由$100A+$50B构成,μP =13.33%, 由年转化为天,13.33%/250=0.0533%.

σP =19.15%, 由年转化为天, 19.15%/SQRT(250)=1.2111%

daily 99%VaR=(2.33*1.2111%-0.0533%)*$150=$4.1528

t=1,组合由$50A+$100B构成,μP =16.66%, 由年转化为天,16.66%/250=0.0667%.

σP =17.08%, 由年转化为天, 17.08%/SQRT(250)=1.0801%

daily 99%VaR=(2.33*1.0801%-0.0667%)*$150=$3.6749

所以$4.1528-$3.6749=0.4779,最接近的是B选项。

σP =19.15是怎么算出来的?有没有详细计算列式

3 个答案

李坏_品职助教 · 2023年02月27日

嗨,从没放弃的小努力你好:


variance就是方差的意思,σ指的是standard deviation,是标准差的意思。σ = 根号下variance。


如果FRM的题目里面给的条件写的volatility(不是variance),默认是σ。

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就算太阳没有迎着我们而来,我们正在朝着它而去,加油!

李坏_品职助教 · 2023年02月24日

嗨,爱思考的PZer你好:


FRM里面指的是标准差,σ,别和CFA混淆了。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

kanjani · 2023年02月27日

不对啊,品职基础课墨迹版第94页最上方:X has expected value of pt and variance p(1-p)T.这里的variance不就代表西格玛平方吗?下面标准化还要给它开根号

李坏_品职助教 · 2023年02月23日

嗨,爱思考的PZer你好:


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努力的时光都是限量版,加油!

kanjani · 2023年02月23日

volatility不代表西格玛平方吗?CFA里是这样说的

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