Depends on what the purpose is for. If it's for narrative content, then you'd want to get a camera that can give you interchangeable lenses + shallow DOF...you know where this is going right? ;P DSLR! watch Zacuto's 2011 Great Camera shootout for a gauge on how the cameras did for low light:
http://www.zacuto.com/the-great-camera-shootout-2011/episode-two. Also, getting a dslr would stay in your budget. I got my canon dm-xm1 at Cash converters in Toa Payoh three years ago for 1.4k, and that's like an obsolete video camera even for that time! you can try scouting for a second hand video camera, but it's not worth it 'cause the cameras there are almost obsolete and they don't come with warranty, receipts etc, which will make it hard to resell.
If you're thinking of getting a good video camera, then get a first hand dslr. Otherwise, video cameras are pretty much costly. Waaaay above 1.5k. Oh and btw, If you decide to get a dslr, remember to not buy it from gray markets. I think there's a list of trusted dslr vendors on clubsnap here somewhere