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

Ryoooh · 2020年07月05日

问一道题:NO.PZ2020021204000047 [ FRM I ]

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

这道题看了前面老师的解答还说不太明白,为什么要列4.3%+Libor-x%这个方程呢?尤其不明白为什么要+LIBOR
1 个答案
已采纳答案

小刘_品职助教 · 2020年07月06日

同学你好,

我写一下思路哈:首先如果从相对比较优势上来看,A借钱的成本应该是4.3%,B借钱的成本应该是libor+100;这样的话A和B加起来共有的成本优势应该是90BP(-160+70);

现在银行需要赚10BP,所以A和B共有的成本优势就变成了90-10=80BP。每边可以有40BP。

题目中因为A要想承担浮动成本,她原来承担的成本是L+30;因为可以享受这个成本优势所以其实成本可以变为L+(30-40)=L-10BP;

现在A从银行实际借钱的成本是4.3%,支付去一笔Libor,所以他应该收到的钱是4.4%,这样最后的成本就是L-10BP

  • 1

    回答
  • 0

    关注
  • 1624

    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}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

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