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Determine the rate in a 45-day FRA on the 90-day LIBOR if the 45-day spot LIBOR is 4% and the 135-day spot LIBOR is 3.8%

Determine the rate in a 45-day FRA on the 90-day LIBOR if the 45-day spot LIBOR is 4% and the 135-day spot LIBOR is 3.8%

Correct answer is 3.68%. Please show how.

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