Would you really trade your health, physical and mentally for paid sick leave?

I rarely get sick, but then again we're seven people in one office and only one have kids ( kids makes a difference ). Mentally it's different story. I can't begin to count the number of days where I get home stressed out due to the noise of my co-workers and people going in an out of the room to talk to one of my colleagues.

Maybe I'm just special, but for me to completely focus and do my best work, I need an almost eerie silence. That's doesn't mix well with co-workers talking on the phone or a radio playing.

Open offices have been known to be a bad idea since Peopleware, but they are just so cheap to build.