Party A enters into a plain vanilla 1-year interest rate swap agreement with Bank B in which he will make fixed-rate payments in exchange for receiving floating- rate payments based on LIBOR plus 100 basis points. Assume that payments are made quarterly in arrears based on a 360-day year. The fixed rate on the swap is 6.5%. The current interest rates on 90, 180, 270, and 360-day LIBOR are 5.2%, 5.5%, 5.8%, and 6.0%, respectively. If the notional principal is SI00 million, what will Party A's net cash flow at the end of the first quarter equal?
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A. B. C.Explanation
To calculate Party A's net cash flow at the end of the first quarter in the interest rate swap agreement, we need to determine the fixed-rate payment and the floating-rate payment.
Given:
First, let's calculate the fixed-rate payment. The fixed-rate payment is based on the fixed rate and the notional principal.
Fixed-rate payment = Fixed rate * Notional principal
Fixed-rate payment = 6.5% * $100 million
Fixed-rate payment = $6.5 million
Next, let's calculate the floating-rate payment. The floating-rate payment is based on LIBOR plus 100 basis points. We need to find the applicable LIBOR rate for the quarter and add 100 basis points (1%).
The applicable LIBOR rate for the first quarter is the 90-day LIBOR, which is 5.2%.
Floating-rate payment = (LIBOR + 100 basis points) * Notional principal
Floating-rate payment = (5.2% + 1%) * $100 million
Floating-rate payment = 6.2% * $100 million
Floating-rate payment = $6.2 million
Since the payments are made quarterly in arrears, the net cash flow at the end of the first quarter is the difference between the fixed-rate payment and the floating-rate payment.
Net cash flow = Fixed-rate payment - Floating-rate payment
Net cash flow = $6.5 million - $6.2 million
Net cash flow = $300,000
Therefore, Party A's net cash flow at the end of the first quarter is +$300,000. None of the given answer choices match this result.