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3. It is January 1, 2022. A bank has thirty more months remaining in an interest rate swap with semiannual payments according to which it

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3. It is January 1", 2022. A bank has thirty more months remaining in an interest rate swap with semiannual payments according to which it has agreed to receive APR 8% compounded semiannually on a notional principal of $50,000,000 in return for the prevailing six-month LIBOR rate. If the first swap payments are exactly six months away, compute the value of this fixed-to-floating interest rate swap from the perspective of the bank based on the LIBOR zero rate term structure given below in continuously compounded form. 6 month 7.00% 12 month 18 month 24 month 30 month 8.00% 9.00% LIBOR 8.50% 9.25%

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