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HG · 2021年04月02日

老师我感觉这题出的不严谨啊

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NO.PZ201812020100000705

问题如下:

Based on Exhibit 2, the amount that Hirji should allocate to the 2-year bond position is closest to:

选项:

A.

C$331 million.

B.

C$615 million.

C.

C$1,492 million

解释:

C is correct.

In order to take duration-neutral positions that will profit from an increase in the curvature of the yield curve, Hirji should structure a condor. This condor structure has the following positions: long the 2-year bonds, short the 5-year bonds, short the 10-year bonds, and long the long-term bonds. Hirji’s allocation to the 2-year bond position is calculated as follows: The C$150 million long-term bonds have a money duration of C$150 × 1,960 = C$294,000

Allocation to 2-year bond = Money duration of long-term bonds/PVBP of 2-year bond

2-year bond position = C$294,000/197 = 1,492.39 or C$1,492 million

老师我感觉这题出的不严谨啊,按理来说是中期的BPV(5年和10年的)=长短期的BPV(2年和长期的),即:2yr's BPV+long-term's BPV=5yr's BPV+10yr's BPV,这样子才对吧,并没有要求5yr's BPV=10yr's BPV和2yr's BPV=long-term's BPV的条件,只要左边翅膀和右边翅膀各自做到duration nuetral再加上上面的那个条件,这个condor的策略就不会出现倾斜的情况,所以这道题啥都没说,就要求2yr的MV,这不是太想当然了啊。。。。

1 个答案

发亮_品职助教 · 2021年04月03日

嗨,从没放弃的小努力你好:


老师我感觉这题出的不严谨啊,按理来说是中期的BPV(5年和10年的)=长短期的BPV(2年和长期的),即:2yr's BPV+long-term's BPV=5yr's BPV+10yr's BPV,这样子才对吧,并没有要求5yr's BPV=10yr's BPV和2yr's BPV=long-term's BPV的条件,只要左边翅膀和右边翅膀各自做到duration nuetral再加上上面的那个条件,这个condor的策略就不会出现倾斜的情况,所以这道题啥都没说,就要求2yr的MV,这不是太想当然了啊。。。。


提问的说法不对。

Condor策略的要求是:左翅膀的BPV相等;右翅膀的BPV相等。如下图所示:


2-year BPV = 5-year BPV,左翅膀是Long/Short策略,达到组内Money Duration-neutral。

30-year BPV = 10-year BPV,右翅膀是Long/Short策略,达到组合Money Duration-neutral。


一般情况下,我们是不要求左翅膀等于右翅膀的。也就说,2-year BPV = 5-year BPV=100;30-year BPV = 10-year BPV =200;只要左翅膀与右翅膀各自组内达到Duration-neutral即可,这种也是成功的Condor。


当然,一种特殊的Condor就是,左翅膀等于右翅膀,即4个头寸的BPV都相等:2-year BPV = 5-year BPV = 10-Year BPV = 30-year BPV

本题就是这种特殊的Condor,4个头寸的BPV都相等。

因为本题是知道30-year的BPV,让求2-year的头寸,所以4个头寸的BPV必须相等才能求出来。



另外需注意,看提问,可能是和Butterfly策略混淆了,如下图,对于Butterfly策略来讲:


5-year BPV = 2year BPV + 30-year BPV;Butterfly策略会出现两个头寸的BPV相加等于另外一个头寸BPV。而Condor策略是4个头寸的BPV都独立,不存在相加的情况。

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努力的时光都是限量版,加油!

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NO.PZ201812020100000705

2021-08-27 17:44 1 · 回答

C$615 million. C$1,492 million C is correct. In orr to take ration-neutrpositions thwill profit from increase in the curvature of the yielcurve, Hirji shoulstructure a conr. This conr structure hthe following positions: long the 2-yebon, short the 5-yebon, short the 10-yebon, anlong the long-term bon. Hirji’s allocation to the 2-yebonposition is calculatefollows: The C$150 million long-term bon have a money ration of C$150 × 1,960 = C$294,000 Allocation to 2-yebon= Money ration of long-term bon/PVof 2-yebon2-yebonposition = C$294,000/197 = 1,492.39 or C$1,492 million 老师您好,既然左边翅膀和右边翅膀不一定相等……怎么能用左边的长期直接算右边的2年的?

2021-05-12 19:41 1 · 回答

NO.PZ201812020100000705 C$615 million. C$1,492 million C is correct. In orr to take ration-neutrpositions thwill profit from increase in the curvature of the yielcurve, Hirji shoulstructure a conr. This conr structure hthe following positions: long the 2-yebon, short the 5-yebon, short the 10-yebon, anlong the long-term bon. Hirji’s allocation to the 2-yebonposition is calculatefollows: The C$150 million long-term bon have a money ration of C$150 × 1,960 = C$294,000 Allocation to 2-yebon= Money ration of long-term bon/PVof 2-yebon2-yebonposition = C$294,000/197 = 1,492.39 or C$1,492 million 我看了你们的回答是 money = mv 乘以 mofie为什么答案里用pvbp?这个1bp的区别要紧吗?mofieration和pvbp是什么公式啊?谢谢

2021-04-15 12:09 2 · 回答

本题为何should structure a condor?

2021-01-21 14:26 1 · 回答