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Suppose that we have to companies, AAACorp and BBBCorp. AAACorp’s credit rating

ID: 2656066 • Letter: S

Question

Suppose that we have to companies, AAACorp and BBBCorp. AAACorp’s credit rating is much better than BBBCorp, and both companies would like to borrow $10 million for 5 years. They have been offered the following rates for fixed rate and floating rate loans: Company Fixed Floating AAACorp 4.0% 6-month LIBOR - 0.1% BBBCorp 5.2% 6-month LIBOR + 0.6% Assume that AAACorp would like to borrow at the floating rate, whereas BBBCorp would like to borrow at the fixed rate. What would happen if the two companies get into a swap agreement in which AAACorp agrees to pay BBBCorp at the 6-month LIBOR rate, while BBBCorp agrees to pay AAACorp a fixed rate of 4.35% on $10 million principal?

Explanation / Answer

AAA cost of borrowing in fixed is 4% and in floating is L - 0.1% ; where as BBB cost of borrowing is 5.2% in fixed and L + 0.6% in floating. AAA has better costing in both but in fixed it is better by 1.2% and in floating by only 0.7% . This difference leads to possible gains by swapping which will maximum of (1.2% - 0.7%) = 0.5% which can be shared by both of them and they can benefit.

Now when AAA borrows fixed at 4% and it lends to BBB at 4.35%, it is making an incremental 0.35% on its fixed borrowing (benefit). BBB borrows floating at L + 0.6% and onward lends to AAA at L. In this case AAA is paying 0.1% higher than it would if borrowed in floating but on net basis its cost reduces by (0.35%-0.1%) = 0.25%. In case of BBB also, it looses 0.6% on its floating borrowing by lending to AAA at L but it gains (5.2%-4.35%) = 0.85% by borrowing fixed from AAA, hence its net benefit is also 0.25% . The total benefit is as we had postulated (0.25% +0.25%) = 0.50%. In numbers the flow will be :

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