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很不酷 · 2021年01月18日

问一道题: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。

麻烦讲一下这道题,不理解为什么473/0.992.

1 个答案

袁园_品职助教 · 2021年01月19日

同学你好!

这道题一开始的平衡状态是 -500*D1+473*D2=0

后来考虑了regression,也就是两个债券利率变化不一致,等式就变成 -500*D1*1+Tips*D2*0.992=0

可以看出 Tips *0.992 = 473,所以 Tips = 473/0.992

菱秋秋 · 2021年09月09日

请问怎样看出“Tips *0.992 = 473”的?

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NO.PZ2018122701000081 问题如下 The trang partment of agon Fruit Bank now ha heing position baseon the ration. They shortethe $ 500 million U.S. Treasury bonanbought the $ 473 million U.S. TIPS. The analysis partment of the bank hjust ma a regression analysis of the nomininterest rate anreinterest rate, anfounthwhen the nomininterest rate changes 1 basis point, the reinterest rate changes 0.992 basis points. Baseon this relationship, how shoulthe trang partment aust their existing positions? There is no neeto change the position. B.purchase $3.8 million TIPS. C.Purchase $4.8 million Treasury bon Sell $3.8 million TIPS B is correct.考点EmpiricApproaches To Risk MetriAnHeing解析因为利率变化不同,原有的ration hee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。 如题

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