Algo Rhythm Ltd (ARL) receives fixed rate income of 6% p.a. paid semi-annually, but has borrowed by issuing floating rate notes with a total face value of $10 million.The floating rate notes mature in exactly 8 years, and pay interest semi-annually at the rate of 6-month Libor plus 1% p.a.The next payment, which was reset today, will be at the rate of 4.5% p.a.

ARL's management worry that interest rates may rise, and have approached you, as swap dealer, for a swap that will hedge their exposure.Your indicative pricing schedule shows the mid-rate for 8-year plain vanilla configuration swaps is 5.2% p.a. against Libor flat.(For dealer pays fixed, subtract 10 basis points; for dealer receives fixed, add 10 basis points.)

i)Design anon-marketplain vanilla swap which will remove ARL's interest rate risk.Indicate what values are required for the letters A to D on the above diagram.

ii)In exactly six months, in the exchange between ARL and the swap dealer, who will be the net receiver, and what will be the net dollar amount?

iii)If all payments (ARL's income, swap and floating rate note) coincide, what is ARL's locked-in spread?