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Carolyne · 2023年05月29日

t时刻求value

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



请问,这道题 图片上我这样解法对吗?如果不对 请问哪里有问题,谢谢。

1 个答案

Lucky_品职助教 · 2023年05月30日

嗨,努力学习的PZer你好:


本题不适用重新定价法,一般要用重新定价法的话,题目会直接告诉FRA30,这个数是重签合约的市场值,和用公式推导出来的不一样。

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就算太阳没有迎着我们而来,我们正在朝着它而去,加油!

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