Assuming that risk-free zero rates are as in Problem 4.5, what is the value of an FRA

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Assuming that risk-free zero rates are as in Problem 4.5, what is the value of an FRA that enables the holder to pay LIBOR and receive 9.5% 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 10%. Both interest rates in this question are quarterly compounded.

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