everyone, I would like to ask how to make the following

Hi everyone,

I would like to ask how to make the following pages work, is there any special configs? Do I have to create pages with shortcodes anywhere?

/events is my root slug.

http://example.com/events/2013/06/new-year-event [WORKS]
http://example.com/events/2013/06/ [NOPE]
http://example.com/events/2013/ [NOPE]
http://example.com/events/ [NOPE]