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FRM Part I · FRM Exam Part I · Swaps

A bank enters a 2-year annual-pay interest rate swap with a notional of USD 50 million, paying a fixed rate of 4.00% and receiving the floating rate. The floating rate for the first period was set at 3.50% at inception. What is the net cash flow to the bank at the first payment date?

The bank pays a net USD 250,000. It pays fixed interest of USD 2.00 million (4.00% of 50 million) and receives floating interest of USD 1.75 million (3.50%), so the net outflow is the 0.50% rate difference applied to... correctly 0.50% of 50 million equals USD 250,000.

  1. APays USD 250,000Correct
  2. BReceives USD 250,000
  3. CPays USD 500,000
  4. DReceives USD 500,000

Explanation

Fixed payment = 4.00% x 50 million = 2.00 million. Floating receipt = 3.50% x 50 million = 1.75 million. Net = 1.75 - 2.00 = -0.25 million, so the bank pays USD 250,000. Receiving 250,000 reverses the sign; 500,000 uses the full rate difference wrongly.

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