Absolute answers are not available, but I would suggest reading this post for more information.
http://www.medhelp.org/posts/STDs/Clarification-of-HPV-clearance/show/249312
From Dr Handsfield:
As I have said before, but perhaps not for a few months, the issue of HPV clearance is partly one of definition of 'cure'. Some experts believe that all HPV infections persist forever, at least in the sense that some HPV DNA persists at the cellular level. But even if that is true, in most persons the infection is kept in check by the immune system, and most people do not have recurrent symptoms any time in the future and do not continue to transmit the infection. So from a practical standpoint, they are cured, even if that's not quite true at a biological level. However, there definitely are exceptions; some infections do come back in the future in active form. Sometimes that occurs in people with immune deficiency (cancer, AIDS, etc)--but it can happen in completely healthy people. There is no way to predict who will and will not be in that inconvenient minority. But happily, such recurrent problems rarely represent serious health risks. All HPV infections should be viewed primarily as an inconvenience, not dangerous health problem.