Access Control to view events

I would like to restrict access to the events calendar to only authenticated users.
For other areas of my site I use the Content Access module to control access to the different node types. I am using this module for the event content type, however when anonymous users visit site.url/event, they still see the calendar, but it's empty.

Under regular Access Control the only event items are under BasicEvent Module, and they are for creating and editing events.
Is there a way to restrict viewing access of events and the calendar, other than the method I mentioned above?

Cheers,