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JustJuve · 2021年03月15日

这题是不是不用算?

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

which short position is most likely to be included in the condor outlined in Scenario 2?

只有1年期是short头寸吧?

3 个答案
已采纳答案

发亮_品职助教 · 2021年03月15日

嗨,爱思考的PZer你好:


只有1年期是short头寸吧?


对的。按照题干给的4个头寸:1-year,5-year,10-year,30-year

如果要捕捉5~10-year curvature的下降。Condor策略需要Long 2个中期利率:

Long 5-year;Long 10-year

那对应Short头寸只能是Short 1-year、Short 30-year。所以按选项只能选Short 1-year,只能选A。这道题的选项不太好,所以不用计算,直接可以选出。

不过这种题目的计算方式也要掌握一下,以防考写作题。

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加油吧,让我们一起遇见更好的自己!

发亮_品职助教 · 2021年06月07日

嗨,从没放弃的小努力你好:


没明白Money duration这里公式除以100的意思,和PVBP那个有关吗?


这章原版书正文里面求Money duration = market value × duration /100,公式里面自带了一个除以100。所以答案有一个除以100。


不过现在协会发了勘误,原答案这里就有错误,无需再除以100了。

勘误对这章的Money duration进行了修正,改成了Money duration=market value × Duration,这样的话,本章学到的Money duration公式与前面章节学到的就一致了。

然后PVPB = Money duration × 0.0001 = market value × duration × 0.0001

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就算太阳没有迎着我们而来,我们正在朝着它而去,加油!

梦梦0708 · 2021年06月05日

没明白Money duration这里公式除以100的意思,和PVBP那个有关吗?