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倩倩加油鸭 · 2022年04月09日

可以请老师再帮忙区分一下这三个duration么,谢谢

NO.PZ2021120102000005

问题如下:

An active fixed-income manager holds a portfolio of commercial and residential mortgage-backed securities that tracks the Bloomberg Barclays US Mortgage-Backed Securities Index. Which of the following choices is the most relevant portfolio statistic for evaluating the first-order change in his portfolio’s value for a given change in benchmark yield?

选项:

A.

Effective duration

B.

Macaulay duration

C.

Modified duration

解释:

A is correct.

Effective duration is a yield duration statistic that measures interest rate risk using a parallel shift in the benchmark yield curve (ΔCurve).

Effective duration measures interest rate risk for complex bonds whose future cash flows are uncertain because they are contingent on future interest rates. Both Macaulay duration (B) and modified duration (C) are relevant statistics only for option-free bonds.



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pzqa015 · 2022年04月10日

嗨,爱思考的PZer你好:


mac duration是久期这个词最本源的含义,是现金流发生时间的加权平均值,权重为每个时间点现金流占债券现值的比例,我们一级固收讲duration时,也是从mac duration引入久期这个概念的,mac D只能看成债券近似到期日的长短,不能用来衡量债券价格对收益率的敏感程度。

mofidied duration与effective duration才可以用来衡量债券价格对收益率的敏感程度,其中:

Modified duration用来预测未来收益率变化对债券价格的影响,是站在事前预测的角度,mod D=mac D/(1+y);

Effective duration是事后检验收益率变化对债券价格的影响,是站在事后回看的角度。ED=(V--V+)/2V0△y,此外,embedded option债的价格对收益率 的敏感程度,我们只能用ED来衡量,也就是站在事后,因为事前现金流不可预测。



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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!

弓 · 2022年04月17日

Mac Duration常常给人一种荒唐的感觉,实在是不知道它除了作为price risk与reinvestment risk的分界点,还有什么其它意义。 然后你刚批判它不能像Modified Duration那样不能预测收益率变化对债券价格变化的影响 ,它又悄悄跟你说其实它俩有数学上的绑定关系 。

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