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jacqie · 2022年03月20日

为什么A到dealer到B直接是Libor?

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

为什么A到dealer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?

1 个答案

DD仔_品职助教 · 2022年03月20日

嗨,爱思考的PZer你好:


同学你好,

关键在于题目说Design a swap where you will earn 10-basis points, and which will appear equally attractive to both sides.

也就是银行帮忙做业务是要收取10bp的钱的,所以虽然A到bank是L-0.1%,但是这个0.1%被银行收走了,所以A只能是L而不能是L-0.1%。


AB都是以比较优势来进行借款的,在没有考虑40bp的好处之前,A的比较优势是固定,B的比较优势是浮动

但是A想借浮动,B想借固定,他俩就要进入一个 swap。

首先AB的固定利率spread=5.9-4.3=1.6%

浮动利率的spread=70bp

两个spread之间的差额0.9%

这个差额也就是他以自己的借款优势借款然后交换可以获得的好处的总额

银行作为中间商也是要获利的,银行要求有10bp的好处,那么剩下的好处是80bp,AB一分每人40bp

A想要以浮动利率借钱,A本来的浮动利率是L+30bp,可以有40bp的好处,A的浮动利率就变成了L+30bp-40bp=L-10bp。A现在从银行实际的借钱成本是4.3%,支付出去L-10bp,收到的钱就是4.4%,这个就是答案中的X。

B同理,想要以5.9%固定利率借钱,有40bp的好处,就可以以5.9%-40bp=5.5%来借钱。B实际的借钱成本是L+100bp,支付出去5.5%,

实际借出去的就是4.5%,就是答案里的Y。



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