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Assuming that risk-free rates are as in Problem 4.5, what is the value of an FRA where the holder will pay LIBOR and receive 4.5%

Assuming that risk-free rates are as in Problem 4.5, what is the value of an FRA where the holder will pay LIBOR and receive 4.5% (quarterly compounded) for a three-month period starting in one year on a principal of $1,000,000. The forward LIBOR rate for the three month period is 5% quarterly compounded.

Risk Free Rates from problem 4.5

Maturity (months) Rate (% per annum)
3 3.0
6 3.2
9 3.4
12 3.5
15 3.6
18 3.7

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