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Elcarim · 2023年11月07日

老师好为什么不是2.1719

NO.PZ2019070101000047

问题如下:

An asset manager wants to hedge the interest risk of a short position on the 10-year bond whose DV01 is 0.0619, and a 5-year T-bond with a DV01 of 0.0285 is avaliable to use. The manager has to:

选项:

A.

Buy $46.04 of the 5-year T bond.

B.

Sell $46.04 of the 5-year T bond.

C.

Buy $217.19 of the 5-year T bond.

D.

Sell $217.19 of the 5-year T bond.

解释:

C is correct

考点:DV01 hedge.

解析:

已知原本的头寸为short10y债券 DV01=0.0619,想要用5y DV01=0.0285的债券来对冲掉原本的头寸的风险,问manager应该怎么做?

目标是使得组合价格的变动=0

- DV0110y * Price 10y+DV015Y * Price 5y =0

-0.0619*Price 10y+0.0285*Price 5y =0

Price 5y =0.0619*Price 10y/0.0285=2.1719Price 10y

代表想要对冲掉1$short position10y债券的头寸,需要long 2.1719$5y债券,答案选C

为什么要多乘100?

1 个答案

李坏_品职助教 · 2023年11月07日

嗨,从没放弃的小努力你好:



这里面算出来的最终结果表示:每1美元的10年债券,需要用2.1719美元的5年债券对冲。债券按照100元面值算的话,那么每100美元的10年债券,就需要217.19美元的5年债券进行对冲。

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