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EmilyZhou · 2024年08月21日

这道题好像和固收里边学的很像,请问是一样的吗?

NO.PZ2021061002000052

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:


About the three-period par swap rate (S3), Which of the following descriptions is correct?

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:

中文解析

本题考察的实际是“脱靴(bootstrapping)”的过程。

具体计算如下:

先根据下面的公式计算出:

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


然后再按照下面的公式计算S3:



最终得到S3 =3.46%,选A。

这道题好像和固收里边学的很像,请问是一样的吗?

1 个答案

李坏_品职助教 · 2024年08月21日

嗨,努力学习的PZer你好:


对,求的都是par rate(也可以叫par swap rate),fixed income也有类似的计算题:


fixed income这个比较简单,直接求出PMT就是par rate。


而derivative计算过程稍微复杂一点,需要先求出三个IFR,再利用IFR与par rate的关系求出par rate。

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