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Aaabby · 2020年01月05日

问一道题:NO.PZ201812020100000405

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问题如下:

Which of Compton’s statements about liability-driven investing is (are) correct?

选项:

A.

Statement 1 only

B.

Statement 2 only.

C.

Both Statement 1 and Statement 2.

解释:

C is correct.

Compton is correct that measurement error can arise even in immunization strategies for Type 1 cash flows, which have set amounts and set dates. Also, a parallel shift in yield curves is a sufficient but not a necessary condition to achieve the desired outcome. Non-parallel shifts as well as twists in the yield curve can change the cash flow yield on the immunizing portfolio; however, minimizing the dispersion of cash flows in the asset portfolio mitigates this risk. As a result, both statements are correct.

请问measurement error是什么意思?

1 个答案

发亮_品职助教 · 2020年01月06日

嗨,爱思考的PZer你好:


在匹配负债的时候会看一些参数,比如Macaulay duration/Convexity/BPV等等。

Measurement error就是债券的这些参数会有误差,给匹配带来不准确的风险。


对于Type 1,现金流金额已知、时间已知的债券(负债),Macaulay duration/Convexity/BPV等参数比较好求,对于其他类型,比如Type 2/3/4,都无法求出来一个Macaulay duration。

Statement 1是说,即便对于Type 1类型、即便能求出来准确的Macaulay duration,在匹配时也会存在Measurement error。

比如说,在匹配时,我们会让资产的Macaulay duration等于负债的Macaulay duration。

而一般资产会是一个Portfolio,求Portfolio的Macaulay duration常用的方法就是把各个成份债券的Macaulay duration直接求加权平均。这是一种近似、不准确的求法。

更准确的方法是,利用Macaulay duration的定义,求出来整个Portfolio的现金流平均归还时间(Macaulay duration)。

如果用近似的Macaulay duration来做匹配,会有误差、就会引入Measurement error。

所以Statement 1说对于SD&R这种Type 1 liability,在匹配时也会有Measurement error.


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虽然现在很辛苦,但努力过的感觉真的很好,加油!


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