A private office is very different than working from home, I'm not sure why that's the same option.
Could you please list some differences between a home and a private office?
It's not a real substitute to face-to-face discussion, but still is an option to reach someone in urgent cases.
Your own room in a company building.
Now I remember I once discussed this with a friend of mine who is married and has a kid; he told that it's much easier to concentrate in the office.
So, yes, my bad, the first line should've been split in two.