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皓月 · 2025年03月19日

我这么理解对不对

* 问题详情,请 查看题干

NO.PZ202112010200000703

问题如下:

Which of the following derivatives strategies would best offset the yield curve exposure difference between the active and index portfolios?

选项:

A.

Add a pay-fixed 10-year swap and long 2-year, 5-year, and 30-year bond futures positions to the active portfolio.

B.

Add a receive-fixed 30-year swap, a pay-fixed 10-year swap, and short positions in 2-year and 5-year bond futures to the active portfolio.

C.

Add a pay-fixed 10-year swap, a short 30-year bond futures, and long 2-year and 5-year bond futures positions to the active portfolio.

解释:

A is correct.

A net positive key rate duration difference indicates a long duration position relative to the index, while a net negative duration difference indicates a short position.

Relative to the index, the active portfolio is “short” in the 2-year, 5-year, and 30-year maturities and “long” the 10-year maturity versus the index.

The pay-fixed 10-year swap and long 2-year, 5-year, and 30-year bond futures positions best offset these differences.

如果差值为负数,就要buy,差值为正数,就是sell,其实我还是没太理解题干的意思。

1 个答案

发亮_品职助教 · 2025年03月19日

题干说哪个衍生品可以抹平active和index之间的头寸差异(offset..difference)

前面的主题干显示difference如下:



如果difference是负数,说明active组合的duration太小,应该是使用衍生品增加duration,使得difference变成0。

比如,2y的difference是-1.270,衍生品应该增加这个期限的duration获得+1.270,这样就把2y的difference调成了0

如果difference是正数,如10y是2.434,应该用衍生品降低duration,把difference降到0。


选项A:

Add a pay-fixed 10-year swap and long 2-year, 5-year, and 30-year bond futures positions to the active portfolio.


pay fixed 10-year swap,支付10年期fixed rate,支付利息相当于是发行了债券,所以是short 10-year bond头寸,这会降低10-year的duration。原来10y的difference是2.434,通过pay fixed 10-year swap可以让difference降为0.


long 2-year, 5-year, 30-year,可以增加这3个期限的duration。原来这3个期限的difference为负数,通过Long对应的futures可以增加duration,让difference降为0.

所以选项A的策略可以达成目标,本题选A。


Add a receive-fixed 30-year swap, a pay-fixed 10-year swap, and short positions in 2-year and 5-year bond futures to the active portfolio.

选项B的问题在,short position in 2-year and 5-year bond futures。

原本2-year和5-year的difference已经是负数了,现在再额外short futures,会进一步降低duration。


Add a pay-fixed 10-year swap, a short 30-year bond futures, and long 2-year and 5-year bond futures positions to the active portfolio.

选项C的问题在short 30-year bond futures。原本30-year已经是负数的difference了,如果再short futures的话,会进一步降低duration。