A) what is the payoff amount

B) what is the fair price of the FRA

Q: Today is January 31, 2020. A 6X9 FRA with notional amount of $100 million is selling for 5%. The three- month, 6-month, and 9-month LIBOR rates are 4.25%, 4.5%, and 5.75%, respectively. There are 92 days until the end of April and 183 days until the end of July and 274 days until the end of October. At maturity of the contract the Underlying LIBOR rate for 3-month, 6-month are 6%, 7% respectively. Assume the actual/360 convention