Payment Issues Upon Renewal or Change of Membership Level

I created a membership level of Beta Tester which would be free for one day and then it should change to $5/mo. According to my Account settings it did exactly that, EXCEPT that I didn't have to input any payment information. So basically it now says that my membership level is $5/mo. I have all access to the website, but I haven't paid AND there is no button or link to allow me to pay.