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fresh · 2023年05月18日

MD ED KRD 区别与联系

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NO.PZ202209060200004204

问题如下:

In Larent’s discussion about the top-down approach to portfolio construction, she is most likely correct about:

选项:

A.assessing the impact of yield curve reshaping.

B.maturity weighting related to a change in spread curve.

C.the allocation of lower-quality bonds in a credit portfolio.

解释:

Solution

C is correct. Larent’s comment about credit portfolios that are overweight lower-quality bonds likely outperforming a global benchmark whenever global economic conditions improve is correct.

A is incorrect. Effective duration is used to measure the impact of a parallel change in the yield curve, not a steepening in the yield curve.

B is incorrect. With respect to the spread curve, overweighting shorter-maturity bonds and underweighting longer-maturity bonds is not optimal whenever there is an expectation that a relatively wide spread curve will flatten. When a wide spread curve flattens, the yields of longer-maturity bonds decline by a magnitude that is greater than the magnitude of changes (up or down) in the yields of shorter-maturity bonds. Accordingly, the optimal portfolio construction strategy is to be underweight shorter-maturity bonds and overweight longer-maturity bonds.

老师可否详细讲解下三者区别联系,谢谢

1 个答案
已采纳答案

pzqa015 · 2023年05月19日

嗨,从没放弃的小努力你好:


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。

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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加油吧,让我们一起遇见更好的自己!

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