Change permissions for files created by docker daemon service

I'm trying to change the default permissions assigned to files when created by the docker daemon by changing the default umask. The docker daemon service runs as root and creates the files with umask of root. I tried changing the umask by adding a command to /etc/init.d/docker and also passed the desired umask(000) as an option to start-stop-daemon but none of them seem to be working. How can I change the default permissions assigned to files created by docker daemon? Edit: I am trying to set the default permissions for files and folders created by the docker daemon on the host and not within a container. For instance, if a folder on host machine, mapped within a container, doesn't exist, docker automatically creates the folders and assigns permissions based on default umask(which is that of root).