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凉茶325 · 2023年01月31日

求解释B选项

NO.PZ2021120102000010

问题如下:

Which of the following statements best describes empirical duration?

选项:

A.

A common way to calculate a bond’s empirical duration is to run a regression of its price returns on changes in a benchmark interest rate.

B.

A bond’s empirical duration tends to be larger than its effective duration.

C.

The price sensitivity of high-yield bonds to interest rate changes is typically higher than that of investment-grade bonds

解释:

A is correct. A bond’s empirical duration is often estimated by running a regression of its price returns on changes in a benchmark interest rate.

求解释B选项 没看懂应该怎么比较

1 个答案

pzqa015 · 2023年02月01日

嗨,努力学习的PZer你好:


Empirical duration tends to be smaller than its effective duration。原因在于,根据yC=yB+spread公式,我们计算effective时假设基准利率的变动对spread无影响,那么基准利率的变动可以完全传导至公司债折现率,即△yc=△yB,基于△P/P=-Effective duration*△yc,可以计算出effective duration。

Empirical duration通常用债券价格变动率对△yB进行回归得到,反映债券价格对基准利率的敏感程度;实务中,我们观察到spread与yB变化负相关这样一个现象,这种现象使得yB的变化不能完全传导至yC,使得△yc<△yB

那么由于△P/P=-effective duration*△yc=-empirical duration*△yB且△yc<△yB,effective duration>empirical duration。


 


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虽然现在很辛苦,但努力过的感觉真的很好,加油!

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