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Rachel · 2024年07月24日

还是没搞明白收益曲线stable和收益曲线flat之间的关联

NO.PZ2021120102000028

问题如下:

Which of the following statements best describes a credit curve roll-down strategy?

选项:

A.

Returns from a credit curve roll-down strategy can be estimated by combining the incremental coupon from a longer maturity corporate bond with price appreciation due to the passage of time.

B.

A synthetic credit curve roll-down strategy involves purchasing protection using a single-name CDS contract for a longer maturity.

C.

A credit curve roll-down strategy is expected to generate a positive return if the credit spread curve is upward sloping.

解释:

C is correct. A credit curve roll-down strategy will generate positive return only under an upward-sloping credit spread curve.

As for A, the benchmark yield changes must be separated from changes due to credit spreads, and under B, a synthetic credit roll-down strategy involves selling protection using a single-name CDS contract for a longer maturity.

所以,A句话的表述是有问题的,正确的表示是加上assuming flat benchmark yield curve这句话。



还是没搞清楚怎么判断收益曲线stable:stable曲线不变吧?是指上倾还是水平?什么时候曲线stable时指的是曲线水平flat? 收益曲线不变代表Duration不变吗?可否请老师详细解释一下

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发亮_品职助教 · 2024年07月24日

还是没搞清楚怎么判断收益曲线stable:stable曲线不变吧?是指上倾还是水平?


Stable yield curve是指利率曲线没有发生平行移动,没有发生形状的改变,期初与期末的利率曲线都是长一个样子。

就比如,今天的1年期利率是1%,5年期利率是5%,一个月之后,1年期利率还是1%,5年期利率还是5%。市场上的利率并未发生改变。

那么从1个月之前,到现在,我们说曲线是一个稳定的、stable曲线。


stable只是强调这期间利率曲线并未发生移动、改变。至于是向上倾斜还是水平,还是向下倾斜,这个都无所谓。要看期初的状态。

如果期初是一个向下倾斜的yield curve,且这是一个stable,那么期末也还是一个向下倾斜的yield curve

如果期初是一个向上倾斜的yield curve,且是stable,那么期末也还是一个向上倾向的yield curve。

stable只能判断期末的曲线和期初一样,至于期末的曲线具体是向上还是向下,要看期初的利率状态。


什么时候曲线stable时指的是曲线水平flat?


曲线的upward-sloping, inverted, flat,这是指曲线的形状

曲线stable,是指期初与期末的利率曲线形状没有改变。


stable只能判断期末的曲线和期初一样,至于期末的曲线具体是向上、向下还是水平,要看期初的利率状态。

只要题目说期初是flat曲线,且stable,那可知期末也是flat曲线。


收益曲线不变代表Duration不变吗?


不是一个概念哈。

Duration是债券自身的风险指标,随着债券的期限变动,duration会变,duration也是利率的函数,随着利率发生改变,债券自己的风险指标duration也会变动。


收益率曲线就是利率曲线哈,反应的是市场利率/价格信息,一般不用收益率曲线改变来分析duration如何变。

两个理解成一定程度的独立,不存在曲线不变就代表duration不变的关系。一般题目说利率曲线不变,or利率曲线改变,就单纯考虑曲线的形状,不用再额外分析duration的情况。因为duration的情况题目会给。


选项A是在credit curve,即在信用风险曲线上做rolldown return。注意,信用风险曲线不是债券的收益率曲线,债券的收益率曲线是(基准利率benchmark rate + 信用风险credit spread)。选项A说的credit curve相当于是把其中的信用风险单独拿出来,来考虑rolldown的收益,这里面没有benchmark rate基准利率的影响。


选项A说,在Credit cruve曲线上做rolldown strategy,收益来源是:incremental coupon以及price appreciation due to the passage of time。


债券的incremental coupon收益既有来自于信用风险的部分,又有来自于benchmark rate的部分,同时,随着时间的流逝,这个price appreciation既有来自于信用风险rolldown的收益部分,又有来自于benchmark rate的rolldown收益部分。

而在Credit curve曲线上做策略,收益只能来自于债券的信用风险。相当于选项A说的收益太多了,benchmark rate那部分的收益不属于credit curve strategy的收益。


选项A改成正确的应该是,增加以下描述:

by combining the incremental coupon related to credit risk from a longer maturity corporate bond with price appreciation related to credit risk due to the passage of time.

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