Given a FRA with the following terms:

- Notional principal \(=\$ 20\) million

- Reference rate \(=\) LIBOR

- Contract rate \(=R_{k}=2.00 \%\) (annual)

- Time period \(=90\) days

- Day-count convention \(=\) Actual \(/ 365\)

Show in a table the payments and receipts for long and short positions on the FRA given possible spot LIBORs at the FRA's expiration of \(1.00 \%,1.50 \%,2.00 \%,2.50 \%\), and \(3.00 \%\).