You purchased an interest rate swap of which notional principal is $100,000,000 that matures in 10 years (Annual settlement, annuity in arrears) 3 years ago. Fixed rate was set to be 4% and the floating rate was set to be LIBOR. Today, the benchmark 1-year LIBOR is 2.5% (use 2.5% instead of 2.493%) and the relevant 7-year yield is 2%. If you want to exit this swap, you have to convince the swap seller (the other party) by offering some payment. What is the minimum amount of such payment you need to offer to exit this swap? (Ignore swap dealers. In reality, it will be very hard to exit the swap because the ones who want to exit the swap must be on the losing side. The ones on the winning side are unlikely to let the others go. You may use the following annuity formula). ?? = ∑ ? (1 + ?) ? ? ?=1 = ? ∗ [ 1 − 1 (1 + ?)

You purchased an interest rate swap of which notional principal is $100,000,000 that matures in 10 years (Annual settlement, annuity in arrears) 3 years ago. Fixed rate was set to be 4% and the floating rate was set to be LIBOR. Today, the benchmark 1-year LIBOR is 2.5% (use 2.5% instead of 2.493%) and the relevant 7-year yield is 2%. If you want to exit this swap, you have to convince the swap seller (the other party) by offering some payment. What is the minimum amount of such payment you need to offer to exit this swap? (Ignore swap dealers. In reality, it will be very hard to exit the swap because the ones who want to exit the swap must be on the losing side. The ones on the winning side are unlikely to let the others go. You may use the following annuity formula). ?? = ∑ ? (1 + ?) ? ? ?=1 = ? ∗ [ 1 − 1 (1 + ?)

EBK CONTEMPORARY FINANCIAL MANAGEMENT

14th Edition

ISBN:9781337514835

Author:MOYER

Publisher:MOYER

Chapter8: Analysis Of Risk And Return

Section: Chapter Questions

Problem 9P

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Suppose you have a 2.5-year remaining on an interest rate swap with a notionalprincipal of $10, 000, 000 between Company A and Company B. Company A pays fixed rateand Company B pays the float rate. Fixed and float payments are exchanged every year andthe last payment was exchanged 6 months ago. The fixed rate is 3.5% per annum, and thefloating rate is tied to the annual LIBOR. The previous 1-year LIBOR rate, set 6 months ago,is 2.75%, 6 month LIBOR is 3.25%. the 1.5-year LIBOR is 3.25%, and the 2.5-year LIBOR is3.50%.Calculate the present value of the fixed and floating legs of the swap, and determine the swap’snet present value from Company A’s perspective. Assume annual compounding for discounting.
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