Assuming the lease is ending by its own terms or you properly give notice of the termination of the current lease, you are negotiating a new lease. There are no limitations on what you can do. You could, for example, increase the rent tenfold, but then you probably would not reach agreement, The issue is more what can be proposed that works for both parties or what is your breaking point for finding a new tenant who can and would pay the deposit and rent that you feel is appropriate.
