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灰飞翔的猫 · 2024年11月10日

不太理解

* 问题详情,请 查看题干

NO.PZ202208260100000606

问题如下:

Aceenters a 10-year GBP interest rate swap with a client in which Ace receivesan initialsix-month GBP MRR of 1.75% and pays a fixed GBP swap rate of 3.10%for the firstsemiannual period. Six months later, Ace and its counterparty settlethe firstswap payment, and no change has occurred in terms of future interestrateexpectations. Which of the following statements best describes the value ofthe swap fromAce’sperspective?

选项:

A.Ace has an MTM gain on the swap,because once it makes the first known net payment to its counterparty, theremainder of the future net fixed versus floating cash flows must have apositive 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, theremainder of the future net fixed versus floating cash flows must have anegative present value from Ace’s perspective.

C.While the present value of fixed andfuture cash flows was set to zero by solving for the swap rate at inception, wedo not have enough information to determine whether the swap currently has apositive or negative value from Ace’s perspective following inception

解释:

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

不是未来的市场利率不确定么?所以MTM value不应该无法确定?为啥选A

3 个答案
已采纳答案

李坏_品职助教 · 2024年11月13日

嗨,从没放弃的小努力你好:


任何一个时刻的价值 都等于该时刻本身的结算价值 + 后续所有现金流折现再求和。


先站在t=6的时刻,t=6的swap的价值分为两部分:

  1. t=6时刻本身的结算价值。
  2. t=6后面的那些现金流折现到t=6再求和,形成的swap value。


然后再把上面1和2都折现到t=0,那就是t=6的结算价值折现,加上t=6的swap value折现,二者在t=0的时候加起来就是初始时刻的价值。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

灰飞翔的猫 · 2024年11月12日

为什么初始时刻的价值 = 6个月的结算value + 6个月的swap value折现到0时刻(这个也就是6个月时刻的MTM value)?

李坏_品职助教 · 2024年11月11日

嗨,从没放弃的小努力你好:


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(这个也就是6个月时刻的MTM value)。

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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加油吧,让我们一起遇见更好的自己!

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