A couple of dollars more and you could have a 780ti with this build:
System Components:
CPU: Intel Core i7 4770K
Motherboard: MSI Z87-G45 Gaming Motherboard
Graphics: Gigabyte GeForce GTX 780 Ti 3GB
Memory: G.Skill Sniper F3-12800CL9D-8GBSR 8GB (2x4GB) DDR3
Solid State Drive: Samsung 840 EVO Series 120GB SSD
Hard Drive: Seagate Barracuda 2TB ST2000DM001
Optical Drive: Pioneer DVR-220LBKS Black 24x DVDRW Drive
Case: NZXT Phantom 530 Case White (*also available in black or red colour if preferred)
CPU Cooler: NZXT Kraken X40 140mm AIO Liquid CPU Cooler
Power Supply: Seasonic G-650 80Plus Gold 650W
Operating System: Microsoft Windows 7 Home Premium 64bit with SP1
To achieve a total price of $2,037 - You will need to sacrifice liquid cooling for stock cooling until you can upgrade