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Suppose that some time ago a financial institution agreed to receive 6-month LIBOR and pay 4% per annum (with semi-annual compounding) on a notional principal

Suppose that some time ago a financial institution agreed to receive 6-month LIBOR and pay 4% per annum (with semi-annual compounding) on a notional principal of $200 million. The swap has a remaining life of 1.25 years; assume that the payments are to be exchanged every 6 months. The LIBOR rates with continuous compounding for 3-month, 9-month, and 15-month maturities are 3.8%, 4.2%, and 4.4%, respectively. The 6-month LIBOR rate at the last payment date was 3.9% (with semiannual compounding). Suppose that the day count convention is ignored. Calculate the current value of the swap (in terms of bond prices) to the financial institution.

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