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世纪之龙5 · 2024年03月14日

没看懂题目什么意思

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。

如题

3 个答案
已采纳答案

品职答疑小助手雍 · 2024年03月14日

同学你好,这就是Empirical Approaches To Risk Metrics And Hedging这节课的原始场景。

就是企业原始的对冲没有考虑TIPS和Treasury bond的利率变动其实不一样,所以要重新构建对冲结构。

本题只要保证△Treasury+△TIPS=0这个对冲等式成立就可以了。

不考虑利率变化不同时的对冲等式:-500*D1+473*D2=0,这个等式意思是:假如nominal 和real interest rate变动幅度一样的话。

但是二者变动幅度不一样,所以:考虑了利率变化不同时的对冲等式:-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

世纪之龙5 · 2024年03月17日

这里的d1是什么

品职答疑小助手雍 · 2024年03月20日

500是value,不是duration。

品职答疑小助手雍 · 2024年03月17日

U.S. Treasury bond持仓的duration

世纪之龙5 · 2024年03月18日

那个500不是duration吗

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