Question
A corporation enters into a $40 million notional amount interest rate swap. The swap calls for the corporation to pay fixed rate and receive a
A corporation enters into a $40 million notional amount interest rate swap. The swap calls for the corporation to pay fixed rate and receive a floating rate of LIBOR. The payments will be made every 90 days for one year and will be based on the 90/360 adjustment factor. The term structure of LIBOR when the swap is initiated:
Term Rate Discount Bond Price
90 days 8.10% ?
180 days 8.45 ?
270 days 8.5 ?
360 days 8.65 ?
e. What is the net payment? Does the fixed or floating rate payer owe?
Assume it is now 30 days later. The new term structure is as follows:
Days Rate (%)
60 7.90 ?
150 8.25 ?
240 8.30 ?
330 8.45 ?
Here are the new discount bond prices:
Term Rate Discount Bond Price
60 days 7.9% B30(60) = 1/(1 + 0.079(60/360)) = 0.9870
150 days 8.25 B30(150) = 1/(1 + 0.0825(150/360)) = 0.9667
240 days 8.30 B30(240) = 1/(1 + 0.0830(240/360)) = 0.9476
330 days 8.45 B30(330) = 1/(1 + 0.0845 (330/360)) = 0.9281
f. For $1 notional, what is the value of the remaining fixed payments? (round to 4 decimals)
g. For $1 notional, what is the value of the remaining floating payments? (round to 4 decimals)
h. What is the value of the swap (in $)?
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