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聂赫留朵夫 · 2022年03月15日

三级Fix income Credit strategy里关于VaR

* 问题详情,请 查看题干

NO.PZ202112010200002202

问题如下:

What is the approximate VaR for the bond position at a 99% confidence interval (equal to 2.33 standard deviations) for one month (with 21 trading days) if daily yield volatility is 1.50% and returns are normally distributed?

选项:

A.

$1,234,105

B.

$2,468,210

C.

$5,413,133

解释:

A is correct. The expected change in yield based on a 99% confidence interval for the bond and a 1.50% yield volatility over 21 trading days equals 16 bps = (1.50% × 2.33 standard deviations × √21).

We can quantify the bond’s market value change by multiplying the familiar (–ModDur × ∆Yield) expression by bond price to get $1,234,105 = ($75 million × 1.040175 (–9.887 × .0016)).

这道题有问题,这一问相当于基础课里例题的第一小问,让我们算VAR,没让我们算change of position(这是例题第二小问)。

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已采纳答案

pzqa015 · 2022年03月17日

嗨,努力学习的PZer你好:


是这个意思。

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pzqa015 · 2022年03月16日

嗨,努力学习的PZer你好:


你没乘Modified duration=9.887

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聂赫留朵夫 · 2022年03月16日

计算Var of bond position意思就是计算bond价格改变量,请问老师是不是这个意思。谢谢

pzqa015 · 2022年03月15日

嗨,努力学习的PZer你好:


问的是Var of bond position,所以要计算债券value的Var。

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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!

聂赫留朵夫 · 2022年03月15日

答案算的价格变动:We can quantify the bond’s market value change by multiplying the familiar (–ModDur × ∆Yield) expression by bond price to get $1,234,105 = ($75 million × 1.040175 ⨯ (–9.887 × .0016)). 我算的VAR 值是2.33 ⨯1.5% ⨯√21×75m×104.0175%=1,249,466

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