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lwang9 · 2019年02月04日

问一道题:NO.PZ201812020100000304 第4小题

* 问题详情,请 查看题干

问题如下图:

    

选项:

A.

B.

C.

解释:


请问老师,这道题C为什么不对呢?

1 个答案

发亮_品职助教 · 2019年02月12日

C选项刚好描述反了,正确的为:

Portfolio B provides more protection from yield curve shifts and twists than portfolio C.


注意这里的描述是Yield curve shifts以及Twists,是收益率曲线的移动以及Twists;所以是包括收益率曲线的平行移动,和非平行移动的;

Portfolio B和Portfolio C在收益率曲线平行移动时,提供的保护一致,因为都是做到了免疫策略;但是在收益率曲线Twists时,Portfolio B提供的保护更多。


做好的免疫策略,在收益率曲线非平行移动时,资产组合存在Structural risk,即资产组合在收益率曲线非平行移动时,会出现无法Match liability的情况;

为了使得Structural risk足够小,就要控制资产组合Convexity的相对大小数据;在匹配单期负债中,要求了资产的Convexity尽可能的小,而在匹配多期负债时,要求了资产组合的Convexity在大于负债的Convexity情况下,再尽可能地保证资产的Convexity足够地小。

因此比较Portfolio B和Portfolio C在收益率曲线Twists时提供的保护,就是要比较这两个Portfolio哪个Structural risk小,即哪个Portfolio的Convexity小。Convexity越小的,Structural risk越小,提供的收益率曲线非平行移动时的保护越多。

直接根据表中的数据,Portfolio B的Convexity 34.51小于Portfolio C的Convexity 50.21,因此Portfolio B在收益率曲线Twists时提供的保护更多。

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