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Sofia nice · 2024年08月11日

解释没看懂

NO.PZ2021061002000055

问题如下:

QWR enters a 5-year interest rate swap in which QWR pays the fixed rate of 3% for the first semiannual period and receives an initial six-month MRR of 2.65%.

Based on the information above, which of the following statements is true?

选项:

A.

Three months after the inception of the trade, QWR has an MTM loss on the swap, because it owes a net settlement payment to its counterparty.

B.

Three months after the inception of the trade, QWR has an MTM gain on the swap, because after the first known net payment to its counterparty, the remainder of the future cash flows must have a positive present value from QWR's perspective.

C.

We do not have enough information to determine whether the swap has a positive or negative value from QWR's perspective after the inception of the trade.

解释:

中文解析

本题考察的是互换在合约期间的value。

互换合约的value由互换两端的利率大小来决定,虽然固定端的利率已知,但是浮动端的利率是随着市场变化而变化的,无法确定下来.

因此我们此时无法判断3个月后,站在QWR的角度上互换的value是正还是负。

我们无法确定在互换合约开始后的3个月内,QWR在互换交易中是否有正值或负值。

原因是浮动利率在市场上是变动的,无法确定未来的现金流量。尽管在合约开始时我们知道了固定利率和初始的浮动利率,但在未来的时间段内,浮动利率可能会发生变化,从而影响互换交易的价值。


到底三个月和六个月对应的是哪个时间段,老师你没明白我们问的点,或者画个图解释下

2 个答案

李坏_品职助教 · 2024年08月11日

嗨,努力学习的PZer你好:


题目给的数据2.65%是0到6之间的利率,但只有这一个利率数据是不足以计算value的。


浮动利率一直变动,等到了第3个月,从3到6, 3到12, 3到18……这几个时间段的浮动利率都不知道,条件不足。



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加油吧,让我们一起遇见更好的自己!

李坏_品职助教 · 2024年08月11日

嗨,从没放弃的小努力你好:


现在是0时刻(期初),刚签订了一份利率互换合约,QWR这个公司是支付固定利率、收取浮动利率。每半年发生一次现金流,第一次现金流是第6个月,第二次现金流是第12个月……


题目给的2.65%这个条件,是现在0时刻得知的未来第6个月的浮动利率。但是等到了第3个月的时候,浮动利率又会发生变化了,而题目也没有给出第3个月的时候利率是多少,自然也就无法计算利率互换的价值,所以只有C选项正确。


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虽然现在很辛苦,但努力过的感觉真的很好,加油!

Sofia nice · 2024年08月11日

就是未来六个月是时点值,不是0到6个月期间值,是吗?期间利率还是不停变化的

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