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moon · 2022年05月31日

【一个CIO一开始签订了一个期货合约,锁定了借款利率是1.95%(100-98.05】他担心借款利率上升,那不是应该long FRA,为什么是题干说的是short的头寸? 【他又通过签订另一个期货合约锁定了自己将钱借出去时的利率是2.7%】这一步操作,又是为的什么? 【这个人是在市场上以2.7%的利率借的钱】不是锁定了借款利率是1.95%,为什么又是2.7%借的钱?

NO.PZ2017121101000006

问题如下:

The CIO of a Canadian private equity company wants to lock in the interest on a three-month “bridge” loan his firm will take out in six months to complete an LBO deal. He sells the relevant interest rate futures contracts at 98.05. In six-months’ time, he initiates the loan at 2.70% and unwinds the hedge at 97.30. The effective interest rate on the loan is:

选项:

A.

0.75%.

B.

1.95%.

C.

2.70%.

解释:

B is correct.

The CIO sells the relevant interest rate future contracts at 98.05, locking in a forward rate of 1.95% (= 100 – 98.05). After six months, the CIO initiates the bridge loan at a rate of 2.70%, but he unwinds the hedge at the lower futures price of 97.30, thus gaining 75 bps (= 98.05 – 97.30). The effective interest rate on the loan is 1.95% (= 2.70% – 0.75%).

中文解析:一个CIO一开始签订了一个期货合约,锁定了借款利率是1.95%100-98.05),后来他又通过签订另一个期货合约锁定了自己将钱借出去时的利率是2.7%100-97.3),于是在这一对期货合约上,他收益是2.7%-1.95%=75bps.到了六个月的时候,这个人是在市场上以2.7%的利率借的钱(he initiates the loan at 2.7%,所以期货头寸赚了75bps,借钱付出2.7%,等效借款利率就是1.95%了。

The CIO sells the relevant interest rate future contracts at 98.05, locking in a forward rate of 1.95% (= 100 – 98.05). After six months, the CIO initiates the bridge loan at a rate of 2.70%, but he unwinds the hedge at the lower futures price of 97.30, thus gaining 75 bps (= 98.05 – 97.30). The effective interest rate on the loan is 1.95% (= 2.70% – 0.75%).

中文解析:一个CIO一开始签订了一个期货合约,锁定了借款利率是1.95%(100-98.05),后来他又通过签订另一个期货合约锁定了自己将钱借出去时的利率是2.7%(100-97.3),于是在这一对期货合约上,他收益是2.7%-1.95%=75bps.到了六个月的时候,这个人是在市场上以2.7%的利率借的钱(he initiates the loan at 2.7%),所以期货头寸赚了75bps,借钱付出2.7%,等效借款利率就是1.95%了。


老师,这道题有几个地方没明白:

  1. 一个CIO一开始签订了一个期货合约,锁定了借款利率是1.95%(100-98.05】他担心借款利率上升,那不是应该long FRA,为什么是题干说的是short的头寸?
  2. 他又通过签订另一个期货合约锁定了自己将钱借出去时的利率是2.7%】这一步操作,又是为的什么?
  3. 这个人是在市场上以2.7%的利率借的钱】不是锁定了借款利率是1.95%,为什么又是2.7%借的钱?
2 个答案

Hertz_品职助教 · 2022年06月02日

嗨,爱思考的PZer你好:


同学你好

利率期货的标的是利率,其报价=100-利率,所以担心利率上升,对应的是担心价格下跌,所以short 。

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Hertz_品职助教 · 2022年06月01日

嗨,从没放弃的小努力你好:


同学你好

1.     本题中使用的是interest rate futures,不是FRA。担心利率上升,应该sell interest rate futures没有问题。

2.     这是题目的设定,可能是出题人为了出题而这样设定的背景,具体到现实中每个投资者都有自己的想法,我们只需要按照题目解题即可。

3.     这个人他没有按照原来合约约定的利率借钱,他可能突发奇想就是想在现货市场借钱。类似这种题目背景,我们只需要根据题意做题即可,因为很多题目经不起推敲,就是为了出题而出题的。

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NO.PZ2017121101000006 问题如下 The CIO of a Canaprivate equity company wants to loin the interest on a three-month “brie” lohis firm will take out in six months to complete Lal. He sells the relevant interest rate futures contracts 98.05. In six-months’ time, he initiates the lo2.70% anunwin the hee 97.30. The effective interest rate on the lois: A.0.75%. B.1.95%. C.2.70%. B is correct. The CIO sells the relevant interest rate future contracts 98.05, locking in a forwarrate of 1.95% (= 100 – 98.05). After six months, the CIO initiates the brie loa rate of 2.70%, but he unwin the hee the lower futures priof 97.30, thus gaining 75 bps (= 98.05 – 97.30). The effective interest rate on the lois 1.95% (= 2.70% – 0.75%). 中文解析一个CIO一开始签订了一个期货合约,锁定了借款利率是1.95%(100-98.05),后来他又通过签订另一个期货合约锁定了自己将钱借出去时的利率是2.7%(100-97.3),于是在这一对期货合约上,他收益是2.7%-1.95%=75bps.到了六个月的时候,这个人是在市场上以2.7%的利率借的钱(he initiates the lo2.7%),所以期货头寸赚了75bps,借钱付出2.7%,等效借款利率就是1.95%了。 整体的收益是一开始sell futures要付的1.95%-借钱的利率2.7%+unwin能收的2.7%,如果任何一项变了就是按这个公式算是吗

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