I always thought that Switzerland was neither a monarchy nor a republic. The members of the federal council are not here by inheritance, nor are they elected by the people. Instead, they are elected by the parliament.
This system has been recently confirmed, as there was recently a vote where 76.3% of voters wanted to keep the current system, and did not want to elect the government themselves. The main argument in favour of the current system is that it prevents both political extremists and rich rockstars to getting access to the government. Instead, only competent politicians with moderate positions and that already distinguished themselves within the parliament can get votes form the majority of the parliament.
So the question is : Does this system make the Swiss Confederation a de-facto republic, or not?