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Olinaaaaa · 2024年03月30日

不懂为什么Bank A要把10bp给bank

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

因为我算了 如果两个银行都是最优和最差解的话相差90bp 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?

1 个答案

pzqa39 · 2024年03月30日

嗨,从没放弃的小努力你好:


你的理解没问题呀,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。


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,是这样得出的。

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