I had just bought the EVGA NVIDIA GeForce GTX 650 Ti, and I had also bought DayZ today too, and before I had the pirated version. And I usually got around 15-25 FPS. And i had the EVGA NVIDIA GeForce GT 610 (not a very good card). But I had a much better card and I still get around the same FPS. I put most to all the settings down and I still gets low framerate.
My specs are:
AMD II X4 640 @ 3.0GHz Processor
500W Power Supply