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Gabriela · 2024年09月08日

如何根据IFR 求得swap rate

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。

如何根据IFR 求得swap rate?该题的最后一步求swap rate不理解。视频课没讲这一步。

1 个答案

李坏_品职助教 · 2024年09月08日

嗨,从没放弃的小努力你好:


这道题目与基础班讲义的例题几乎是一样的(在Swaps VS. Forwards这部分):


所谓的swap rate,就是这么一种票面利率:按照swap rate作为票面利息,以zero rate进行折现并求和 = IFR折现的现值之和。


题目计算过程对应基础班视频1.5倍速 11:24开始:


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虽然现在很辛苦,但努力过的感觉真的很好,加油!

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