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A corporate treasurer needs to hedge the risk of the interest rate on a future transaction. The risk is associated with the rate on 180-day

A corporate treasurer needs to hedge the risk of the interest rate on a future transaction. The risk is associated with the rate on 180-day LIBOR in 60 days. The term structure of LIBOR is given as follows (assume a 30/360 day count convention). Assume that LIBOR is the appropriate discount rate for FRA cash flows at settlement.

30-day LIBOR

5.25%

60-day LIBOR

5.40%

180-day LIBOR

5.60%

210-day LIBOR

5.70%

240-day LIBOR

5.75%

  1. Determine the rate that the company would get on an FRA expiring in 60 days on 180-day LIBOR.

  1. Suppose that manager went long this FRA. Now, 30 days later, interest rates have moved significantly upward to the following:

30-day LIBOR

5.40%

60-day LIBOR

5.55%

180-day LIBOR

5.75%

210-day LIBOR

5.85%

240-day LIBOR

5.90%

The treasurer would like to know where the company stands on this FRA transaction. Determine the market value of the FRA for a $50 million notional principal.

  1. On the expiration day, 180-day LIBOR is 5.7 percent. Determine the payment made to or by the company to settle the FRA contract.

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