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cindypasscfa · 2022年05月22日

用什么利率和1.25%比较才能知道利率是升了还是降了

NO.PZ2019010402000013

问题如下:

A bank entered into a 3×6 FRA 30 days ago as a fixed receiver. The fixed rate is 1.25%, and notional principle is $100 million. The settlement terms are advanced set, advanced settle. The current Libor data is as follows:

The value of this 3×6 FRA is:

选项:

A.

11,873

B.

-11,873

C.

-12,579

解释:

B is correct.

考点:FRA的估值

解析:

画图:

valuelong=1000000001+1.05%×60360100000000×(1+1.25%×90360)1+1.2%×150360=11873value_{long}=\frac{100000000}{1+1.05\%\times\frac{60}{360}}-\frac{100000000\times(1+1.25\%\times\frac{90}{360})}{1+1.2\%\times\frac{150}{360}}=11873

题中的银行是fixed receiver,即FRA的short方。上图是以Long方,即Borrower(floating receiver)为例,所以fixed receiver (short)的value=-long=-11873

想理解下,抛开这道题,用什么利率和1.25%比较才能知道利率是升了还是降了。

2 个答案

Lucky_品职助教 · 2022年05月23日

嗨,从没放弃的小努力你好:


同学不好意思,我之前没理解你问的1.25%是fra的fixed rate,看成了180天的libor。

我们要到3时点,看未来3个月的libor,与fra中锁定的三个月贷款利率1.25%比较,才知道利率涨了还是跌了,本题没有给出这个信息,所以无法比较

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努力的时光都是限量版,加油!

Lucky_品职助教 · 2022年05月23日

嗨,从没放弃的小努力你好:


一般每天都会公布不同期限的libor利率,用下一个180天的libor利率和1.25%比较~

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

cindypasscfa · 2022年05月23日

所以这道题现在的180 libor也是1.25% 是没办法从题面上判断符号方向的是吗

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