Install NAV 2013R2 Demo on PROD server with NAV 2009R2 already installed

Hello experts,
I have a production server with three tiers of Microsoft Dynamics NAV 2009 R2 installed on it (SQL-server, service tier and RTC).

Now the client requires to install NAV 2013R2 Demo on this server. Is there any hidden rocks in this case? Am I right presuming that installing NAV 2013R2 Demo won't intefere with existing NAV 2009R2 configuration?

P.S.: I remember from the past that newer versions of Dynamics NAV deleted the older versions (like you install NAV 2009R2 and it deletes NAV 2005). Is it still valid for NAV 2013R2 installation?

Thanks for your help!