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花卷喵 · 2022年08月04日

重新定价法

NO.PZ2019010402000061

问题如下:

Suppose one year ago we entered a €200,000,000 three-year receive-fixed Libor-based interest rate swap with semi-annual resets (30/360 day count). The fixed rate in the swap contract entered one year ago was 4.5%. The value for the party receiving the fixed rate is:

选项:

A.- €648,079.61

B.

€648,079.61

C.

- €548,068.57

解释:

B is correct

本题考察的是利率互换求value。

先求出在t=1时刻的互换的固定利率:

i=1nPVi(1)=0.985222+0.966184+0.943396+0.917431=3.812233\sum_{i=1}^nPV_i\left(1\right)=0.985222+0.966184+0.943396+0.917431=3.812233

fixed swap rate = (1- 0.917431) / 3.812233=2.1659%

annulized: 2.1659% * 360/180 = 4.3318%

然后计算value,对于fixed receiver:

V= (0.045 - 0.0433) ×(180/360)×3.812233×200,000,000 = €648,079.61

在重新定价法里不应该是新价格减旧价格再折现吗,为什么这道题是用0.045 - 0.0433?

1 个答案

Lucky_品职助教 · 2022年08月04日

嗨,爱思考的PZer你好:


因为本题是fixed receiver,即short方,我们在课上举的例子都是long方的角度哦

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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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