开发者:上海品职教育科技有限公司 隐私政策详情

应用版本:4.2.11(IOS)|3.2.5(安卓)APP下载

梦梦 · 2024年07月07日

利率互换的bank pay X to A

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.

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


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pay X%to A?

2、蓝色公式没看明白

3 个答案
已采纳答案

李坏_品职助教 · 2024年07月07日

嗨,从没放弃的小努力你好:


我们作为swaps trader(也就是图中的bank)是要分别和A、B两家公司都各签订一份swap。


首先,A公司的最终目标是以浮动利率借款(就是A最终想支付浮动利率),但是A公司的相对优势是在4.3%的固定利率上。所以A先找其他银行支付4.3%的固定利率,为了抵消这个固定利率的影响,我们银行要给A支付固定利率X,然后A公司再给我们银行支付浮动利率libor。(绿色字体部分,就是我们银行与A公司签订的swap)

这样一来,A公司最终的效果就是固定利率被大部分抵消了,剩下了浮动利率libor,达到了A的目标。


由于题目要求进行swap交易之后,银行要分0.1%的好处费,这样留给A公司的好处只有0.4%了。而A公司自己本来支付浮动利率的成本 = libor + 0.3%, 算上swap的0.4%的好处,A最终的利率 = libor + 0.3% - 0.4% = libor - 0.1%.


所以考虑银行支付X给A之后,A支付的最终利率 = 4.3% - X + libor = libor - 0.1%, 所以X = 4.4%


同理,B公司自己支付固定利率成本 = 5.9%, 考虑0.4%的好处之后利率成本 = 5.9%-0.4% = 5.5%.

由于B最终是希望支付固定利率,而B的相对优势是在浮动利率,所以B先找其他银行支付libor + 1%,我们银行给B支付libor,抵消了B的浮动利率,然后B再给我们银行支付Y(红色字体是我们银行与B签订的swap)。如此一来,B最终只剩下固定利率,完成目标。

B最终支付的利率 = libor + 1% + Y - libor = 5.5%,Y = 4.5%.

----------------------------------------------
虽然现在很辛苦,但努力过的感觉真的很好,加油!

梦梦 · 2024年07月07日

“所以A先找其他银行支付4.3%的固定利率,为了抵消这个固定利率的影响,我们银行要给A支付固定利率X”,1、“其他银行”和“我们银行”不是一家吧?2、为了抵消固定利率的影响,为什么是支付X而不是4.3%?

梦梦 · 2024年07月10日

明白了,就是“我们银行要给A支付固定利率X,然后A公司再给我们银行支付浮动利率libor。(绿色字体部分,就是我们银行与A公司签订的swap)”,所有的题目,如果是这种设计方案的,都是先假设1、节约的利息双方平分;2、和swap tader的浮动利率交易都是libor,而不是libor加/减多少点?

李坏_品职助教 · 2024年07月10日

嗨,从没放弃的小努力你好:


对,是这样的。

----------------------------------------------
加油吧,让我们一起遇见更好的自己!

梦梦 · 2024年07月10日

好的,谢谢

李坏_品职助教 · 2024年07月08日

嗨,努力学习的PZer你好:


  1. 不是一家。
  2. 因为抵消固定利率并不是为了恰好弥补4.3%,具体是要支付给A多少的固定利率,取决于4.3% - X + libor = libor - 0.1% 这个等式的计算结果。 不是拍脑袋乱定的。

----------------------------------------------
加油吧,让我们一起遇见更好的自己!

  • 3

    回答
  • 0

    关注
  • 81

    浏览
相关问题

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}因为我算了 如果两个银行都是最优和最差解的话相差90银行要10个basis的话 一共每个减去40bp就好 为什么还要再给银行10bp?

2024-03-30 08:57 1 · 回答

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}看了几个解答都不明白 X是什么?最后一行公式是什么意思?

2023-10-31 00:01 1 · 回答

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} 有类似的题都是这么理解么?都是银行进出的浮动利率是libor?

2022-05-26 01:01 1 · 回答

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}为什么A到aler到B直接是Libor?不能是Libor-0.1%么?不是很明白Libor-0.1%和5.5%分别是A、B在考虑了各自分摊的收益以后的劣势,为什么解题思路从劣势考虑,而不是从优势考虑?

2022-03-20 02:14 1 · 回答