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Christinafx · 2024年01月28日

关于Duration的使用

NO.PZ2023032703000049

问题如下:

Serena is a risk management specialist with Liability Protection Advisors. Trey, CFO of Kiest Manufacturing, enlists Serena’s help with three projects.

The third project for Serena is to make a significant direct investment in broadly diversified global bonds for Kiest’s pension plan. Kiest has a young workforce, and thus, the plan has a long-term investment horizon. Trey needs Serena’s help to select a benchmark index that is appropriate for Kiest’s young workforce. Serena discusses three benchmark candidates, presented in Exhibit 3.


The global bond benchmark in Exhibit 3 that is least appropriate for Kiest to use is the:

选项:

A.

Global Aggregate Index.

B.

Global High Yield Index.

C.

Global Aggregate GDP Weighted Index.

解释:

B is correct. Kiest has a young workforce and thus a long-term investment horizon. The Global Aggregate and Global Aggregate GDP Weighted Indexes have the highest durations (7.73 and 7.71, respectively) and would be appropriate for this group. Global High Yield is the least appropriate due to its relatively shorter duration.

这道题上面Index都用的是Effective Duration,有点疑惑,如果对比index的duration,为什么这里是effective duration,有点疑惑,因为题目的条件里,有时候出现的是Macaulay Duration,有点疑惑。

1 个答案
已采纳答案

pzqa31 · 2024年01月29日

嗨,努力学习的PZer你好:


一般用effective duration会更准确,同学提到的用mac duration基本是出现在免疫策略这个地方,但是也只有单笔现金流免疫我们才会用mac duration,多笔现金流免疫我们要用modified duration或effective duration


同学可能又会问为什么单笔现金流免疫用Mac durtion呢?当到期只有一笔负债,最好的方法就是用零息债券去cover liability,因为零息债券的Macaulay duration等于其maturity,对于持有至到期的零息债券,投资期investment horizon就等于零息债券的Macaulay duration。于是此时:Macaulay Duration = investment horizon = liability到期日,得到单笔负债免疫的条件是mac D=investment horizon,这个条件使得portfolio的price risk=reinvestment risk,从而portfolio可以获得确定的realized return。

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Christinafx · 2024年01月31日

明白了,谢谢老师