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RichardGuan · 2020年01月05日

问一道题:NO.PZ201812020100000805

* 问题详情,请 查看题干

问题如下:

Based on Exhibit 1, which short position is most likely to be included in the condor outlined in Scenario 2?

选项:

A.

1-year $338 million

B.

5-year $71 million

C.

10-year $38 million

解释:

A is correct.

To profit from a decrease in yield curve curvature, the correct condor structure will be: short 1s, long 5s, long 10s, and short 30s. The positions of the condor will be: short $338 million 1-year bond, long $71 million 5-year bond, long $38 million 10-year bond, and short $17 million 30-year bond.

This condor is structured so that it benefits from a decline in curvature, where the middle of the yield curve decreases in yield relative to the short and long ends of the yield curve.

To determine the positions, we take the maximum allowance of 30-year bonds of $17 million and determine money

duration. Money duration is equal to market value x modified duration divided by 100. 30-year bond money duration = $17 million × 19.69/100 = $3,347,300. The market values of the other positions are:

1-year bond: $3,347,300 × 100/0.99 = $338.11 million or $338 million

5-year bond: $3,347,300 × 100/4.74 = $70.62 million or $71 million

10-year bond: $3,347,300 × 100/8.82 = $37.95 million or $38 million

两个问题:

1、money duration=moneyXmodified duration/100,这个公式是怎么得到的。

2、Exibit 2里有PVBP的值,我使用PVBP计算,1年期的要买约335,和答案有些出入,但是5年期和10年的很接近。这种题如果出上午题应该使用那个变量计算?


不知道我的问题是否清楚,谢谢!

1 个答案

发亮_品职助教 · 2020年01月06日

嗨,爱思考的PZer你好:


“1、money duration=moneyXmodified duration/100,这个公式是怎么得到的。”


这个就纯粹是个人习惯。常见Money duration有两种:

第一种是:Money Duration=MV × Modified Duration

第二种是:Money Duration=MV × Modified Duration × 0.01

差异主要源自对1单位的定义。两种计算都可以,原版书1-3级的固收书里,多处出现过两种情况,这里就不截图了。在真题的解析里两种情况也都出现过:

2018年真题

 

2017年真题,Dollar duration就是Money duration在美国的叫法:



所以,计算两种Money duration的方法都可以。不过建议用这个方法:Money Duration=MV × Modified Duration;也符合课上的讲解、与常见的情景。



“2、Exibit 2里有PVBP的值,我使用PVBP计算,1年期的要买约335,和答案有些出入,但是5年期和10年的很接近。这种题如果出上午题应该使用那个变量计算?”


我算了下确实有误差。

理论上说用PVBP这种方法、和用答案的这种方法,算下来的值是一样的,因为PVBP实际上也是用Modified duration求出来的。

如果出现上午题,题目没有特殊要求用哪个方法的话,两个都可以用。给哪个数据就用哪个,都可以。

这道题Exhibit 2的数据和Exhibit 1的数据其实是有点差异的,就仅针对这道题,应该用Exhibit 1,他题干也要求了用Exhibit 1,那就用里面的数据即可。


-------------------------------
就算太阳没有迎着我们而来,我们正在朝着它而去,加油!


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NO.PZ201812020100000805 5-ye$71 million 10-ye$38 million A is correct. To profit from a crease in yielcurve curvature, the correconr structure will be: short 1s, long 5s, long 10s, anshort 30s. The positions of the conr will be: short $338 million 1-yebon long $71 million 5-yebon long $38 million 10-yebon anshort $17 million 30-yebon This conr is structureso thit benefits from a cline in curvature, where the mile of the yielcurve creases in yielrelative to the short anlong en of the yielcurve. To termine the positions, we take the maximum allowanof 30-yebon of $17 million antermine money ration. Money ration is equto market value x mofieration vi100. 30-yebonmoney ration = $17 million × 19.69/100 = $3,347,300. The market values of the other positions are: 1-yebon $3,347,300 × 100/0.99 = $338.11 million or $338 million 5-yebon $3,347,300 × 100/4.74 = $70.62 million or $71 million 10-yebon $3,347,300 × 100/8.82 = $37.95 million or $38 million题目已经说了是less curvature,所以就是一个向下的conr,30年期的是short头寸,与之对应只可能是short1年期,这样思考对吗?

2021-07-26 03:05 1 · 回答

NO.PZ201812020100000805 5-ye$71 million 10-ye$38 million A is correct. To profit from a crease in yielcurve curvature, the correconr structure will be: short 1s, long 5s, long 10s, anshort 30s. The positions of the conr will be: short $338 million 1-yebon long $71 million 5-yebon long $38 million 10-yebon anshort $17 million 30-yebon This conr is structureso thit benefits from a cline in curvature, where the mile of the yielcurve creases in yielrelative to the short anlong en of the yielcurve. To termine the positions, we take the maximum allowanof 30-yebon of $17 million antermine money ration. Money ration is equto market value x mofieration vi100. 30-yebonmoney ration = $17 million × 19.69/100 = $3,347,300. The market values of the other positions are: 1-yebon $3,347,300 × 100/0.99 = $338.11 million or $338 million 5-yebon $3,347,300 × 100/4.74 = $70.62 million or $71 million 10-yebon $3,347,300 × 100/8.82 = $37.95 million or $38 million请问yielcurve less curvature图形是怎么变化

2021-05-15 11:19 2 · 回答

NO.PZ201812020100000805 老师您好, 我突然一下子转不过弯了。 请问 less curvature图形是什么表示呢? 我们假设原有图形是个桶吧, less curvature是桶更深了 还是更浅了呢? 我一直以为less curvature是1Y 与30Y 不变,但是5年和10年往上( 也就是桶变浅了), 所以我以为应该short 5到10年,但是看答案貌似我理解反了。。 谢谢!

2021-05-10 10:16 1 · 回答

NO.PZ201812020100000805 conr 的两边 long 1-yeshort 5-ye+ short 10-year, long 30-yebon, 是两边RATION NEUTRAL, 并没有说这四个POSITION 都NEUTR啊。 这样的话为什么不选10 年的那个啊,因为对应30年的应该是10年。

2021-04-22 22:38 1 · 回答

老师,这里的Money ration is equto market value x mofieration vi100. 为什么要除以100啊?

2020-01-11 23:28 1 · 回答