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