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he123456 · 2019年03月03日

问一道题:NO.PZ2019010402000013 [ CFA II ]

问题如下图:

选项:

A.

B.

C.

解释:这道题题目说,30天前进入了这个FRA的合约,那么到底是求30天这个时点的value还是求60天这个时点的value?30天前不是指合约到期前的30天前吗?就是说图是这样的:

1 个答案
已采纳答案

竹子 · 2019年03月04日

30天前签订的合约,现在已经过了30天,并不是说距离到期日是30天。

正常来说,在现在(30天之后)的时间轴应该如上面的下图所示,但这样画就不方便看,所以就直接画成上图的样子

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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?

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