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Shuangshuang · 2019年08月07日

问一道题:NO.PZ2016082402000058 [ FRM I ]

问题如下图:

选项:

A. 看不懂答案和题对不上

B.

C.

D.

解释:

1 个答案
已采纳答案

品职答疑小助手雍 · 2019年08月08日

同学你好,答案通过2年和1年的利率算出了第一年末到第二年末的利率为3.75%,而fra设置的也是3.75%,也就是价格只公允的,价值为0。后面又拿如果设置的fra利率是3.5%举了个例子。

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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

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.US35,629 B.US34,965 C.US664 US0 ANSWER: 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 No.PZ2016082402000058 (选择题)来源: HanookABInc., 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 entere1、a forwarrate agreement (FRto receive a rate of 3.75%—这句话是不是说明这个FRA的利率是3.75%且我是short position?2、这题求t=1年时刻的value,我理解就是在t=2年时刻,用(3.75%—三个月市场的int)再折现到t=1年时刻,得出t=1年时刻的value,首先题目没有给出三个月市场的int,其次为什么value是0?3、题目答案写的计算的远期利率是3.75%,确实没错,但是这个远期利率也不是市场利率啊,怎么能说这个利率equto quoterate(FRA rate)呢,不理解

2023-12-13 14:15 3 · 回答

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抛开这个题来说,FRA计算中,long和short的计算,谁减谁这个怎么记,比如这个题的假设,3.75-3.5

2023-10-15 16:13 1 · 回答

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.US35,629 B.US34,965 C.US664 US0 ANSWER: 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 助教你好这题是收录在经典题里的,我答对了,但我是因为看见题干最后一句问的是the value of FRA when the aler is just entere便认为题目是在问我forwar0时刻的value,于是选我压根没理会题干给的远期利率和zero rate。而李老师的做法是先验证远期利率3.75%是否合理。我的思路有问题吗?我看过往其他同学提问中都是在研究利率怎么算,可是这题明明不需要算吧?

2023-07-23 19:10 1 · 回答

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这个题能用画图法解一下吗

2023-02-27 16:41 1 · 回答