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shirley_hd · 2019年12月03日

问一道题:NO.PZ2019103001000055

问题如下:

Abram’s supervisor disagrees with Abram’s yield curve outlook. The supervisor develops two alternative portfolio scenarios based on her own yield curve outlook:

Scenario 1:Sell all bonds in the Fund except the 2-year and 30-year bonds, and increase positions in these two bonds while keeping duration neutral to the benchmark.

Scenario 2:Construct a condor to benefit from less curvature in the 5-year to 10-year area of the yield curve. The condor will utilize the same 1-year, 5-year, 10-year, and 30-year bonds held in the Fund. The maximum allowable position in the 30-year bond in the condor is $17 million, and the bonds must have equal (absolute value) money duration.

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

Money duration is equal to market value x modified duration divided by 100。PVBP是money duration divided by 10000?


2 个答案
已采纳答案

发亮_品职助教 · 2019年12月04日

嗨,努力学习的PZer你好:


对的,这是不同的作者写的,所以Money duration有两种方式;

第一种是:Money duration = Market value × Modified duration

第二种是:Money duration = Market value × Modified duration × 0.01

两个都没问题。建议记第一个,这样和PVBP就能连起来了,PVBP = Money duration ×0.0001

如下图标黄部分,就是原版书没有除以100的money duration:


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努力的时光都是限量版,加油!


发亮_品职助教 · 2019年12月06日

“PVBP是money duration divided by 10000,这个定义应该没有两种理解吧?”


是的,只有一个理解。

PVBP/BPV就是Money duration divided by 10000,没有其他理解。



“money duration在考试的时候,是可能两种计算都有可能出题吗?”


是的,协会公布的上午题标准答案里,两种情况都出现过,等复习到后期做真题的时候就会见到了。所以考试的时候,写任何一个都正确。



“我们就按照第一种计算方法去做吗?”


是的,建议记Money duration = Market value × Modified duration。这样Money duration和PVBP是一万倍的关系方便记忆。