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410140980 · 2023年07月04日

从DV hedge 引申到regression hedge

NO.PZ2018122701000081

问题如下:

The trading department of Dragon Fruit Bank now has a hedging position based on the duration. They shorted the $ 500 million U.S. Treasury bond and bought the $ 473 million U.S. TIPS. The analysis department of the bank has just made a regression analysis of the nominal interest rate and real interest rate, and found that when the nominal interest rate changes by 1 basis point, the real interest rate changes by 0.992 basis points. Based on this relationship, how should the trading department adjust their existing positions?

选项:

A.

There is no need to change the position.

B.

purchase $3.8 million TIPS.

C.

Purchase $4.8 million Treasury bond

D.

Sell $3.8 million TIPS

解释:

B is correct.

考点:Empirical Approaches To Risk Metrics And Hedging

解析:因为利率变化不同,原有的duration hedge平衡被打破了,实际需要的TIPS是473/0.992=476.8 million。所以要再买3.8million的TIPS。

老师我理解这道题的做法,就是通过DVhedge算出tresury bond和TIPS之间duration的关系,然后在通过regression去求出需要对冲的头寸。

只是我有个疑问,在这道题里面是说名义利率变动1%实际利率变动0.992,基础班的时候李老师说一定要让对冲工具作为自变量,要对冲的作为因变量。因为对冲工具可以有很多,那这道题里面我改怎么判断自变量因变量呢?

1 个答案
已采纳答案

品职答疑小助手雍 · 2023年07月04日

同学你好,这题不需要考虑自变量因变量。

我们只要保证△Treasury+△TIPS=0就可以了。

没考虑利率变化不同时的假设:-500*D1+473*D2=0

考虑了利率变化不同时的假设:-500*D1*1+Tips*D2*0.992=0

两个等式如果都要成立的话

Tips *0.992 = 473

所以我们可以算出来 Tips = 473/0.992

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