ABC lending company, concerned about possible interest rate fluctuations, enters into $3$ month FRA with Company ABC, equally concerned about future borrowing rates, at an agreed upon FRA rate of $5\%$ for a notional value of $$50$MM$,$ in order to secure future lending rates. The underlying, or reference rate, for the FRA is the $6$ month SOFR rate. At expiration, the $6$ month LIBOR rate is quoted at $6\%.$A$)$ What is the gain or loss on the FRA to ABC lending company?B$)$ Who is the long and who is the short in this contract?C$)$ What terminology would be sued to express this contract's duration?