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daiwin18 · 2024年01月01日

两个问题

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.

问题1:The duration of the original loan is –1.5,是哪一句话的体现呢?上面不是说swap的固定利率就是是1.5而已吗?

问题2:为什么说是poor hedge?对利率的敏感程度已经下降了

3 个答案

pzqa31 · 2024年01月04日

嗨,爱思考的PZer你好:


同学,从这个题干里确实看不出来,这道题应该是从一个大case截取的一个问题,相关信息应该在原题干里体现了。

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加油吧,让我们一起遇见更好的自己!

pzqa31 · 2024年01月03日

嗨,努力学习的PZer你好:


首先,1.5这个地方是题目给的已知条件,不是推出来的。poor 还是good hedge要看目标是什么,这里说的是对于现金流的预测这方面,因为浮动端无法预测现金流,所以是poor,就是这里做了取舍,所以才说在现金流预测这方面hedge的就不好了啊。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

pzqa31 · 2024年01月02日

嗨,努力学习的PZer你好:


1.已知条件这里: the duration of a two-year fixed rate loan is –1.5 years

2.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。因为最后net的头寸只剩下一个浮动端的头寸了,所以不好预测未来的现金流情况了,所以这里说在predicting cash flows方面是一个poor hedge.



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虽然现在很辛苦,但努力过的感觉真的很好,加油!

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