Demo Project DayPilotLiteMvc-1.3.400 does not launch in VS 2013. See screendump
This turned out to be an issue of IIS Express that reports different values in request.Path and request.ApplicationPath. It's now fixed in build 1.3.401:
http://mvc.daypilot.org/daypilot-lite-for-asp-net-mvc-1-3-sp5/
It's working now :) The demo site still contains some wrong hrefs but nothing serious I guess. For example this one: <a class="tab" href="//Month/">