Company X wants to borrow $10,000,000 floating for 5 years; company Y wants to borrow $10,000,000 fixed for 5 years. Their external borrowing opportunities are shown here: Fixed-RateBorrowing CostFloating-RateBorrowing CostCompany X10%LIBORCompany Y12%LIBOR + 1.5% A swap bank proposes the following interest only swap:X will pay the swap bank annual payments on $10,000,000 with the coupon rate of LIBOR − 0.15 percent; in exchange the swap bank will pay to company X interest payments on $10,000,000 at a fixed rate of 9.90 percent. Y will pay the swap bank interest payments on $10,000,000 at a fixed rate of 10.30 percent and the swap bank will pay Y annual payments on $10,000,000 with the coupon rate of LIBOR − 0.15 percent. What is the value of this swap to the swap bank?Group of answer choicesThe swap bank will earn 40 basis points per year on $10,000,000 = $40,000 per year.none of the optionsThe swap bank will break even.The swap bank will lose money on the deal.
Question
Company X wants to borrow 10,000,000 fixed for 5 years. Their external borrowing opportunities are shown here: Fixed-RateBorrowing CostFloating-RateBorrowing CostCompany X10%LIBORCompany Y12%LIBOR + 1.5% A swap bank proposes the following interest only swap:X will pay the swap bank annual payments on 10,000,000 at a fixed rate of 9.90 percent. Y will pay the swap bank interest payments on 10,000,000 with the coupon rate of LIBOR − 0.15 percent. What is the value of this swap to the swap bank?Group of answer choicesThe swap bank will earn 40 basis points per year on 40,000 per year.none of the optionsThe swap bank will break even.The swap bank will lose money on the deal.
Solution
The value of this swap to the swap bank can be calculated by comparing the interest payments it receives from companies X and Y with the payments it makes to these companies.
From company X, the swap bank receives LIBOR - 0.15% and pays out a fixed rate of 9.90%. From company Y, the swap bank receives a fixed rate of 10.30% and pays out LIBOR - 0.15%.
The net payment received by the swap bank from company X is: LIBOR - 0.15% - 9.90% = -9.75% + LIBOR The net payment received by the swap bank from company Y is: 10.30% - (LIBOR - 0.15%) = 10.45% - LIBOR
Adding these two together, the net payment received by the swap bank is: -9.75% + LIBOR + 10.45% - LIBOR = 0.70%
This means that the swap bank will earn 0.70% per year on 70,000 per year. Therefore, the correct answer is not provided in the options given. The swap bank will earn 40,000.
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