What GPU does your computer have? What sort of time do you get rendering in CC instead of CC 2014? What happens if you flatten the file in Photoshop and save it as a JPEG or a PNG?
NVIDIA GeForce GT 650M 1024 MB graphics
The time it takes to render is the same in CC. Flattening the file in Photoshop is not an option, since I need all the different layers.
The strange thing is that the first video I made using After Effects rendered fine, while the second one (and the third I'm working on now) are not. So I would think my computer is capable of doing this and it has to be something to do with a setting somewhere. Also, I sent someone on a Windows computer the files and the composition rendered within 20 minutes.
I wonder if it's something to do with the contents of the PSD. What is in it? Layer styles? Embedded smart shapes? Embedded images? What color space is it saved in? How many layers?