Hi,
since July 1, 2017 is has no longer been possible to receive unemployment benefits (dagpenge), in the period of a PhD study from where the salary ends until the PhD is completed. Before July 2017 it was possible to receive dagpenge, if the PhD was completed as a part-time study with less than 20 hours per week.
However, after the law change in 2017, this is not possible anymore.
To be able to get dagpenge, you must not be signed up/registered as a PhD student. And also off course you must be able to meet the requirements for being eligble for dagpenge. This is not relevant for you because you have to be member one year of A-kasse, and furthermore you need a work-permit (see next paragraph).
It will be difficult to get dagpenge after finishing your PhD (after graduate scheme), because you probably don’t have a work permit that allows you to take any job with one day notice. However we do not give advice regarding VISA/work-permit, but can only tell that paying for A-kasse is only relevant if you have a work-permit which allows you to take any job with one day notice. This is a requirement for being eligible for dagpenge in Denmark.
Best regards,
Anders Weber, A-kasser.dk