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金融民工阿聪 · 2022年08月13日

mac.D和mod.D的应用场景有啥区别呢

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.

备注:本题题干说明是投资MBS与CMBS(commercial and residential mortgage-backed securities)。由于MBS、CMBS的基础资产为房贷,而房贷存在提前偿还的“期权”,所以本题的投资组合可以理解为含权债券(类似Callable bond),因此应该使用Effective duration。

mac.D和mod.D的应用场景有啥区别呢

1 个答案
已采纳答案

pzqa015 · 2022年08月14日

嗨,努力学习的PZer你好:


解释一下mac duration、modified duration与effective duration的区别。

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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