I got 2 Thinkpad T520 laptops (Resolution: 1920x1080) for less than $1000 (total). Granted, one had a broken keyboard + bios lock and the other a broken screen - but less than $300 in parts repaired the keyboard and screen and now I have the hardware to unlock the bios password of many thinkpad models. Still, I paid less than $1000 total for both after repairs. It can be done if you're a cheap enough bastard and are willing to put in a little effort.
Not all roses though - neither came with a hard drive or memory - so that added expense did put my total above $1000 - but I have 2 high-res laptops and I spent less than $2000 for both after adding to each a 1tb hdd and 8gb ram. It's good to have a spare.