Mattel just released the doll as part of a Ladies of the 80s special collectors edition along with Cyndi Lauper, Debbie Harry and Cher. If you wanted to be authentic, you could get all four and have them move into a1970's Barbie Dream House, with an elevator. (I had one of these when I was really little, I thought I was so cool.)
So glad that Joan Jett stood the test of time. She rules. I even liked The Runaways, about the beginning of her career with her first band. See it if you haven't yet.
Man, only circa early 1980's Joan Jett can pull off a mullet.