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Anne · 2024年01月31日

这句话不是说收固定吗,那么Duration会变大,sensitivity也会变大呀?

NO.PZ2022123002000067

问题如下:

TCMS, a medical college, is also a client of NMSA. TCMS currently has a two-year loan outstanding with a 5.5% fixed annual interest rate. Bing expects a decline in interest rates and advises TCMS to enter into a two-year interest rate swap in which TCMS would pay Libor + 0.5% and receive a 5.5% fixed rate. From TCMS's perspective, the duration of a two-year fixed rate loan is –1.5 years and the duration of a floating rate loan is –0.125. Bing asks Torres, "Can you comment on the overall impact of the interest rate swap on TCMS?"

Torres responds, "The net effect of entering the swap is to reduce the interest rate sensitivity of the overall loan plus swap position relative to the loan by itself. If the swap is added, however, it will be harder for TCMS to predict cash flows, and from this perspective, the swap does not serve as a good hedge."

Is Torres’ response to Bing most likely correct?

选项:

A.

No, he is incorrect about hedging ability of the swap

B.

Yes

C.

No, he is incorrect about the sensitivity of the overall position

解释:

Correct Answer: B

Torres is correct on both accounts. The duration of the original loan is –1.5. The fixed leg of the interest rate swap has a duration of 1.5, and the duration of the variable leg of the swap is –0.125. Thus, the duration of the overall position is –0.125. The overall sensitivity is reduced. The firm will find it harder to predict cash flows, however, because the net exposure is to the variable Libor rate. Therefore, Torres is correct that the swap serves as a poor hedge from the perspective of predicting cash flows.

这句话不是说收固定吗,那么Duration会变大,sensitivity也会变大呀?



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pzqa31 · 2024年02月01日

嗨,努力学习的PZer你好:


这道题说的是这个人有一笔固定付息的贷款,现在担心利率会下降,所以进入一个付固定收浮动的swap,把贷款转换成浮动利息的贷款,然后他就算了一下原来的固定贷款久期是1.5,swap里固定端收固定的久期是1.5(这两个正好轧差掉了),最后实际就剩下一个久期为0.125的浮动端,所以总体duration就从1.5降到了0.125。所以说“reduce the interest rate sensitivity of the overall loan plus swap position relative to the loan by itself.”,是指整体头寸比原来单独的loan头寸,对利率的敏感度(duration)下降了。


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努力的时光都是限量版,加油!

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