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陳泰傑 · 2019年03月26日

问一道题:NO.PZ2019010402000013 [ CFA II ]

问题如下图:上图是我的疑问 在三时间点借钱然后在六时间点还钱 中间不是只有三个月 所以利息应该计三个月的 为什么题目是用六个月的呢

选项:

A.

B.

C.

解释:

1 个答案

包包_品职助教 · 2019年03月26日

同学你好,30天前进入了一个3✖6FRA,说明现在是1时刻,求现在的Value,所以2笔现金流要折现到1时刻。NP从3时刻折现至1时刻,用60天libor,NP+interest 从6时刻折现至1时刻,用150天libor。

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NO.PZ2019010402000013 问题如下 A bank entereinto a 3×6 FRA 30 ys ago a fixereceiver. The fixerate is 1.25%, annotionprinciple is $100 million. The settlement terms are aanceset, aancesettle. The current Libor ta is follows:The value of this 3×6 FRA is: A.11,873 B.-11,873 C.-12,579 B is correct.考点FRA的估值解析画图valuelong=1000000001+1.05%×60360−100000000×(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}}=11873valuelong​=1+1.05%×36060​100000000​−1+1.2%×360150​100000000×(1+1.25%×36090​)​=11873题中的银行是fixereceiver,即FRA的short方。上图是以Long方,即Borrower(floating receiver)为例,所以fixereceiver (short)的value=-long=-11873 银行作为fixereceiver,FRA有1.25%,同时floating payer,Libor都是小于等于1.25%,难道这个value不应该是正的吗?

2024-08-01 11:44 1 · 回答

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