It's not a loan. It is a swap of a stream of interest payments.
It's not a loan.
But you start out your example by stating:
Say you loaned out $1,000,000 at an adjustable rate, say 3 month Libor plus 2 points.
Is this a loan?
You proceed to state:
You go to another bank that is willing to pay you 5% fixed for the next 3 years in exchange for your adjustable payment.
Is this a loan? If not, how is this swap structured? Can you walk into a bank and tell them "I'll trade you my income stream lasting 3 years based on 3 month LIBOR plus two percent for a flat 5 percent per month, and the loser pays the difference"?