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A corporate treasurer wishes to hedge against an increase in future borrowing costs due to possible rise in short - term interest rates. She proposes

A corporate treasurer wishes to hedge against an increase in future borrowing costs due to possible rise in short-term interest rates. She proposes to hedge against this risk by entering a long FRA contract that expires in 180 days and is based on 180-Day LIBOR. The current term structure for LIBOR is as follows:
Term (Days) Interest Rate (%)
305.1
905.25
1805.7
3605.95
Interest rates are measured with a compounding frequency reflecting the length of the period they apply to.
a. Calculate the rate that the treasurer would receive on this FRA.
b. Suppose the treasurer went long this FRA. Now, 45 days later, interest rates have risen and the LIBOR term structure is as follows:
Term (Days) Interest Rate (%)
1355.9
3156.15
Calculate the market value of this FRA based on a notional principal of $10,000,000.
c. At expiration, the 180-day LIBOR is 6.25%. Calculate the payoff on the FRA. Does the treasurer receive a payment or make a payment to the dealer?

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