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Mercury. · 2023年08月21日

这个是考点吗 不太清楚是怎么算的

NO.PZ2023040401000058

问题如下:

QWR is a financial intermediary active in both futures and forward markets. At time t = 0, QWR observes the following zero rates over three periods:


选项:

A.

Because the swap rate represents the fixed rate at which the present value of fixed and future cash flows equal one another, we can first use zero rates to solve for the implied forward rate per period, then discount each implied forward rate back to the present using zero rates, and solve for s3 to get 3.46%.

B.

Because the swap rate represents the fixed rate at which the present value of fixed and future cash flows equal one another, we can use zero rates to discount each zero rate back to the present, and solve for s3 to get 3.02%.

C.

Because the swap rate represents the fixed rate at which the present value of fixed and future cash flows equal one another, we can first use zero rates to solve for the implied forward rate per period, then discount each zero rate back to the present using implied forward rates, and solve for s3 to get 3.99%.

解释:

IFR0,1 = 2.52%, IFR1,1 = 3.56%, and IFR2,1 = 4.43%


RT

2 个答案
已采纳答案

Lucky_品职助教 · 2023年08月21日

嗨,从没放弃的小努力你好:


本题题目给的利率是0-1,0-2,0-3的利率,问的是par swap rate,我们通过先求1-2,2-3的forward rate,再求出par swap rate,因为同样1块钱,从0-1和1-2复利得到的金额(存一年后再存一年),应该和0-2复利得到的金额(直接存两年)是一样的,bootstrapping用的就是这个原理~

S3求解公式左侧是0-1,1-2,2-3分区间并按照区间利率进行折现,右侧是0-3区间,假定都是同一利率S3,从而算出这个S3的值

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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!

摇一摇 · 2023年08月22日

S3是什么

Lucky_品职助教 · 2023年08月23日

嗨,努力学习的PZer你好:


这个题经典题中李老师有详细的讲解,同学可以查看下module 5的经典题,大致视频位置如下图。如果观后有疑问,我们再继续讨论

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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!