If I am added to the deed of a house my parents own (I live in it and pay the mortgage for them) can I claim the mortgage deduction? I am not on the mortgage note.

My parents purchased this house three years ago for an investment.  I moved in at that time and have been paying the property taxes and mortgage.  Now that I am earning more, I could benefit from the deduction.  My parents are supportive of this.  I could purchase it; we could refinance and add my name to the note.  BUT couldn't we save costs by simply adding me to the deed and let me claim the deduction?  If so, if I am added this November, can I claim the deduction for the entire year since I have been paying it and they will not claim the deduction?