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Frances · 2024年09月15日

不理解

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NO.PZ202208260100000606

问题如下:

Ace enters a 10-year GBP interest rate swap with a client in which Ace receives an initial six-month GBP MRR of 1.75% and pays a fixed GBP swap rate of 3.10% for the first semiannual period. Six months later, Ace and its counterparty settle the first swap payment, and no change has occurred in terms of future interest rate expectations. Which of the following statements best describes the value of the swap from Ace’s perspective?

选项:

A.Ace has an MTM gain on the swap, because once it makes the first known net payment to its counterparty, the remainder of the future net fixed versus floating cash flows must have a positive present value from Ace’s perspective. B.Ace has an MTM loss on the swap, because once it receives the first known payment from its counterparty, the remainder of the future net fixed versus floating cash flows must have a negative present value from Ace’s perspective. C.While the present value of fixed and future cash flows was set to zero by solving for the swap rate at inception, we do not have enough information to determine whether the swap currently has a positive or negative value from Ace’s perspective following inception

解释:

A is correct. Ace makes the first net payment because the fixed-rate payment is greater than the floating rate received. Given no change in forward interest rates, this implies that the remaining net cash flows must have positive present value to Ace. B is incorrect as this response states the opposite compared to the prior response. C is incorrect because we have information about forward rate expectations.

麻烦解释下

1 个答案

李坏_品职助教 · 2024年09月15日

嗨,爱思考的PZer你好:


Ace签订了一份利率互换,Ace是支付3.1%的固定利率,收取浮动利率。已知第一次Ace收取(6个月的时候)的浮动利率是1.75%. 题目问你在6个月的时候,Ace的swap value是怎样的?


需要注意的是,一份公平的利率互换,其初始时刻的总价值必然是0,这样对多空双方都是公平合理的。

而初始时刻的价值 = 6个月的结算value + 6个月的swap value折现到0时刻。

已知6个月结算的时候,Ace是亏损的,也就是6个月的结算value小于0,那么6个月的swap value折现到0时刻必然是大于0的,所以A正确。

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