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比如世界 · 2020年03月02日

问一道题:NO.PZ2020021204000047

问题如下:

Company A can borrow at a fixed rate of 4.3% for five years and at a floating rate of Libor plus 30 basis points. Company B can borrow for five years at a fixed rate of 5.9% and at a floating rate of Libor plus 100 basis points. As a swaps trader you are in touch with both companies and know that Company A wants to borrow at a floating rate and that Company B wants to borrow at a fixed rate. Both companies want to borrow the same amount of money. Design a swap where you will earn 10-basis points, and which will appear equally attractive to both sides.

选项:

解释:

The spread between the fixed rates offered to Companies A and B is 5.9% - 4.3% or 1.6%. The spread between the floating rates is 70 basis points or 0.7%. The difference between these two spreads is 1.6% - 0.7% or 0.9%. It should be possible to design a swap where the parties are in aggregate 0.9% better off. The bank (intermediary) wants 0.1%. This leaves 0.4% for each side. We should therefore be able to design a swap where Company A borrows at Libor + 0.3% - 0.4% or Libor - 0.1 % and Company B appears to borrow at 5. 9% - 0.4% = 5.5%. If the bank pays X% to A we require 4.3% + Libor - X% = Libor - 0.1% so that X = 4.4. Similarly, if B pays Y% to the bank, we require Y% + 1% = 5.5% so that Y = 4.5. The swap arrangement is

答案中“We should therefore be able to design a swap where Company A borrows at Libor + 0.3% - 0.4% or Libor - 0.1 % and Company B appears to borrow at 5. 9% - 0.4% = 5.5%. If the bank pays X% to A we require 4.3% + Libor - X% = Libor - 0.1% so that X = 4.4. Similarly, if B pays Y% to the bank, we require Y% + 1% = 5.5% so that Y = 4.5. ”这一部分的求解思路,麻烦老师再讲一下,谢谢。

1 个答案

orange品职答疑助手 · 2020年03月03日

同学你好,答案先求出了A和B这次分别要付出的成本(考虑到了互换协议所带来的抵减优惠)。对A来说,根据比较优势,A应该去借固定利率,然后和B做互换,最终,对A来说,A要支付的是libor-0.1% 。对A来说,它的支出就应该是 4.3%+libor-X% = libor-0.1%(X%是Bank给A的收入,因为我们列的是支出的方程,所以在方程里应该是减号),这样就把X给解出来了。

Y的话道理差不多。同学你先独立想想呢,看看是不是能独立做出来。如果有问题的话就追问,我到时候给你解答~

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NO.PZ2020021204000047问题如下Company A cborrow a fixerate of 4.3% for five years ana floating rate of Libor plus 30 basis points. Company B cborrow for five years a fixerate of 5.9% ana floating rate of Libor plus 100 basis points. a swaps trar you are in touwith both companies anknow thCompany A wants to borrow a floating rate anthCompany B wants to borrow a fixerate. Both companies want to borrow the same amount of money. sign a swwhere you will earn 10-basis points, anwhiwill appeequally attractive to both sis.p.p1 {margin: 0.0px 0.0px 0.0px 0.0px; font: 8.5px Helveticcolor: #464047}p.p2 {margin: 0.0px 0.0px 0.0px 0.0px; font: 8.5px Helveticcolor: #453e45}span.s1 {color: #66544b}span.s2 {color: #4e5c6c}span.s3 {color: #374565}span.s4 {color: #453e45}span.s5 {color: #635144}span.s6 {color: #354568}span.s7 {color: #4b6f}The sprebetween the fixerates offereto Companies A anB is 5.9% - 4.3% or 1.6%. The sprebetween the floating rates is 70 basis points or 0.7%. The fferenbetween these two sprea is 1.6% - 0.7% or 0.9%. It shoulpossible to sign a swwhere the parties are in aggregate 0.9% better off. The bank (intermeary) wants 0.1%. This leaves 0.4% for easi. We shoultherefore able to sign a swwhere Company A borrows Libor + 0.3% - 0.4% or Libor - 0.1 % anCompany B appears to borrow 5. 9% - 0.4% = 5.5%. If the bank pays X% to A we require 4.3% + Libor - X% = Libor - 0.1% so thX = 4.4. Similarly, if B pays Y% to the bank, we require Y% + 1% = 5.5% so thY = 4.5. The swarrangement isp.p1 {margin: 0.0px 0.0px 0.0px 0.0px; font: 8.5px Helveticcolor: #453f47}p.p2 {margin: 0.0px 0.0px 0.0px 0.0px; font: 8.5px Helveticcolor: #463e47}p.p3 {margin: 0.0px 0.0px 0.0px 0.0px; font: 8.5px Helveticcolor: #4532}p.p4 {margin: 0.0px 0.0px 0.0px 0.0px; font: 8.5px Helveticcolor: #453f46}p.p5 {margin: 0.0px 0.0px 0.0px 0.0px; font: 8.5px Helveticcolor: #453f45}p.p6 {margin: 0.0px 0.0px 0.0px 0.0px; font: 8.5px Helveticcolor: #493c42}span.s1 {color: #374567}span.s2 {color: #3a353f}span.s3 {color: #4b6f}span.s4 {color: #7f7b7span.s5 {color: #67564span.s6 {color: #69564span.s7 {color: #4663}span.s8 {color: #354567}span.s9 {color: #6348}span.s10 {color: #736b67}span.s11 {color: #7f7b7f}span.s12 {color: #7b7b7b}span.s13 {color: #787777}span.s14 {color: #6b6b67}span.s15 {color: #68554c}span.s16 {color: #505e72}老师好,1、if bank pays X% to A是什么意思?bank已经拿了0.1%,A和B互分0.4%了,为啥bank还要pX%to A?2、蓝色公式没看明白

2024-07-07 21:03 3 · 回答

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2024-03-30 08:57 1 · 回答

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2023-10-31 00:01 1 · 回答

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2022-05-26 01:01 1 · 回答

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2022-03-20 02:14 1 · 回答