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ZJH · 2018年10月07日

问一道题:NO.PZ2016082402000058

问题如下图:

    

选项:

A.

B.

C.

D.

解释:



请问求V的公式是哪一个?在讲义里哪里提到了,谢谢


1 个答案

品职答疑小助手雍 · 2018年10月08日

同学你好,这个求V的过程要理解现金流的时间节点就可以把问题解决了,公式不是重点。

这题里FRA是第1年末到第2年末的,所以根据求出来的市场的forward rate,二者相减乘以本金就是第二年末付息时的价值,比如答案里举例的就是(3.75%-3.5%)*1million=2500。然后把2500根据题目给的2年期利率3.5%continuous折现2年就是2331.

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NO.PZ2016082402000058问题如下 ABInc., enterea forwarrate agreement (FRto receive a rate of 3.75% with continuous compounng on a principof US1 million between the enof ye1 anthe enof ye2. The zero rates are 3.25% an3.50% for one antwo years. Whis the value of the FRA when the is just entere A.US35,629B.US34,965C.US664US0ANSWER: he market-implieforwarrate is given e−R2×2=e(−R1×1−F1,2×1)e^{-R_2\times2}=e^{(-R_1\times1-F_{1,2}\times1)}e−R2​×2=e(−R1​×1−F1,2​×1),or F1,2=2×3.50−1×3.25=3.75%.F_{1,2}=2\times3.50-1\times3.25=3.75\%.F1,2​=2×3.50−1×3.25=3.75%. Given ththis is exactly equto the quoterate, the value must zero. If instethis rate w3.50%, for example, the value woulV=$1,000,000×(3.75%−3.50%)×(2−1)×e−3.50%×2=2,331V=\$1,000,000\times{(3.75\%-3.50\%)}\times{(2-1)}\times e^{-3.50\%\times2}=2,331V=$1,000,000×(3.75%−3.50%)×(2−1)×e−3.50%×2=2,331没看到怎么算value的(2-1)是什么东西?

2024-04-11 15:07 1 · 回答

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