Question

The LIBOR rates today for 2, 3, and 6 months are 4.0%, 4.5%, and 5.0%, respectively....

  1. The LIBOR rates today for 2, 3, and 6 months are 4.0%, 4.5%, and 5.0%, respectively. What should be the rate of 2×6 FRA contract initiated today? Assume all rates are continuously compounded annual rates.

    A. 4% B. 4.5% C. 5% D. 5.5% E. 6% D is the answer, please show the solution.

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Answer #1

At initiation, value of FRA to both the parties will be zero. This will happen when FRA rate=forward ratr for 4 months starting in 2 months

rate for 2 months*2+forward rate for 4 months*4=rate for 6 months*6

=>forward rate for 4 months=(6*5%-2*4%)/4=5.5%

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