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和棋 · 2022年04月06日

有点分不清Effiective Duration 和 Key rate Duration的区别了

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.

有点分不清Effiective Duration 和 Key rate Duration的区别了,option可以用Key rate吗?这两者有什么区别呢?

1 个答案

pzqa015 · 2022年04月08日

嗨,努力学习的PZer你好:


不可以。

Effective duration是一个事后检验收益率变化对债券价格影响的久期概念,是一个事后回看的角度。Effective duration是一个事后检验收益率变化对债券价格影响的久期概念,是一个事后回看的角度。ED=(V--V+)/2V0△y。由于ED是事后检验,所以对于embedded bond,我们只能用ED来衡量债券价格对利率的敏感程度。

KRD是假定Portfolio中全是零息债,每一个关键时间点(债券到期时间)利率变动,其他期限利率不变,对Portfolio value的影响。KDRi=wi*Di,wi为i时刻到期债占portfolio value的权重,Di为i期限债的久期,因为是0息债,所以每一个时间点的现金流都是本金,KDRi表示只有第i个时间点收益率的变动对组合value的影响。Portfolio中有几个关键时间点,就有几个KRD。

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