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Spencer · 2022年12月15日

KRD和收益率曲线的关系

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NO.PZ202112010200000702

问题如下:

Which of the following statements best characterizes how the active portfolio is positioned for yield curve changes relative to the index portfolio?

选项:

A.

The active portfolio is positioned to benefit from a bear steepening of the yield curve versus the benchmark portfolio.

B.

The active portfolio is positioned to benefit from a positive butterfly movement in the shape of the yield curve versus the index.

C.

The active portfolio is positioned to benefit from yield curve flattening versus the index.

解释:

B is correct. A positive butterfly indicates a decrease in the butterfly spread due to an expected rise in short- and long-term yields-to-maturity combined with a lower medium-term yield-to-maturity.

Since the active portfolio is short duration versus the index in the 2-year, 5-year, and 30-year maturities and long duration in the 10-year, it will generate excess return if the butterfly spread falls.

老师请问,KRD和收益率曲线的关系是什么呢?Active Portfolio的KRD(2y, 5y, 30y) 小于Benchmark,就直接让(2y, 5y, 30y)收益率曲线上升就能outperform benchmark?


"我们的目的是让active portfolio outperform benchmark。先观察active portfolio与benchmark在KRD的差异,可以看到,对于短期(2y、5y)和长期(30y),active portfolio 的KRD<benchmark;对于中期(10y),active portfolio 的KRD>benchmark,那么就应该让长期与短期的收益率曲线上升,中期收益率曲线下降,才会使得active outperform benchmark"

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已采纳答案

pzqa015 · 2022年12月15日

嗨,努力学习的PZer你好:


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。


收益率曲线变动时,会通过不同关键点位的KRD对portfolio value产生影响。

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努力的时光都是限量版,加油!

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