1.) First I fold over the memory wire sideways so the folded piece is parallel to the body of the wire. This means not loop.
2.) Cut a small piece of buna flexible tubing to cover the folded wire and use crazy glue to hold it in place. I like to put a small bead at the join. Super easy.
The bottom picture show two more ways to finishing memory wire. One is ending it with a polymer clay ball that is cooked and drilled half way. The other is ended the memory wire end with a piece of brass tubing that is crimped and folded.
I hope this is of use to some one.