Can my iMac handle 4k???

I an using Premiere Pro on the following machine:

iMac 27 inch, mid 2011 computer
2.7 GHz Intel core i5
Memory 20 GB 1333 MHz DDR3
Graphics: AMD Radeon HD 6770M 512 MB

2 Questions:

1. I want to buy a cheap 4k Dell or Asus Monitor to view while I am editing 4k footage. Will my iMac be able to hook up to a 4k monitor and display 4k 60hz via the display port?

2. Will my system be able to handle 4k? The flavor of footage I am using is from the GH4, so file sizes are not huge.

Thanks!
 
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