Finding If Any Part Of Date Range Falls In Period?

I'm trying to find if any part of a date range in my table between orig_start_rent and stop_rent falls within a period I specify in two variables: startPeriod and endPeriod

For example if I specify 2013-11-01 as startPeriod and 2013-11-30 as endPeriod, then if any part of the date range between orig_start_rent and stop_rent(stop-rent can be null if hire is open) falls within that period, I want that to be picked up and assigned the value of 1 in my case statement for OnHire. My code is not picking everything up however - using the example above, a record with orig_start_rent of 2013-05-23 and stop_rent of 2013-11-18 is being assigned 0 when it should be 1. My code here:

declare @startPeriod as smalldatetime
declare @endPeriod as smalldatetime
set @startPeriod = '2013-11-01'
set @endPeriod = '2013-11-30';
select dticket, orig_start_rent, stop_rent, case when orig_start_rent >= @startPeriod and orig_start_rent <= @endPeriod then 1 when orig_start_rent < @endPeriod and stop_rent is null then 1 else 0 end [OnHire] from deltickitem