If it were a standard mass-produced model then Schwinn did build frames a month or more in advance of building the bikes, so a late '68 frame may not have been painted and built-up as a bike until 1969. However Paramounts were were made to order so I don't believe they would have built 1969 model Paramount frames until after the start of that year, in other words I believe yours was built in '68 as a '68 model. The only way to verify for sure would be to check the components (if original) and either date them or compare them against any possible changes from '68 to '69.

[MENTION=38510]Scooper[/MENTION] are you aware of any spec. changes in the Paramount from '68 to '69?