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005 · 2023年04月21日

关于答案解析计算

NO.PZ2021120102000011

问题如下:

A junior analyst considers a 10-year high-yield bond issued by EKN Corporation (EKN) position in a high-yield portfolio. The bond has a price of 91.82, a modified duration of 8.47, and a spread duration of 8.47.

The analyst speculates on the effects of an interest rate increase of 20 bps and, because of a change in its credit risk, an increase in the EKN bond’s credit spread of 20 bps.

The analyst comments that because the modified duration and the credit spread duration of the EKN bond are equal, the bond’s price will not change (all else being equal) in response to the interest rate and credit spread changes.

Is the analyst’s prediction correct that the EKN bond price will not change in response to the interest rate and credit spread changes, all else being equal?

选项:

A.

Yes.

B.

No, the bond price should decrease.

C.

No, the bond price should increase.

解释:

B is correct. An increase in interest rates results in a decrease in the bond price. An increase in the credit spread also results in a decrease in the bond price.

For the EKN bond, its modified duration shows the effect of the 20 bp increase in interest rates. The approximate percentage price change resulting from the increase in interest rates is –8.47 × 0.0020 = –1.694%.

The spread duration shows the effect of the 20 bp increase in the credit spread. The approximate percentage price change resulting from the increase in the credit spread is –8.47 × 0.0020 = –1.694%. The combined effect is a total change of –3.388%, or a price decrease of roughly 3.4%

关于modified duration 是否应为整体变化40bps的?还是只针对基准利率变化20bps使用,平常使用modified duration 是否利率也要考虑拆分为基准利率部分和spread部分?

2 个答案
已采纳答案

pzqa015 · 2023年04月21日

嗨,努力学习的PZer你好:


yc=yb+spread

modified duration是针对基准利率yb变动。

spread duration是针对spread的变动。

对于国债来说,无spread,那么yb=yc,modified duration也就是yc的变动。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

pzqa015 · 2023年05月07日

嗨,努力学习的PZer你好:


本题相当于是一种假设的情形,就是yb与spread都变大了20bp,理论上二者的确是反向变动的。

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加油吧,让我们一起遇见更好的自己!

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