How do I, as a resident in Sweden, open an account that can receive a payment in Euros, then spend those euros without having to convert them to Swedish crowns and back, and pay conversion fees each way?
Revolut does this. It also works out 2-3% cheaper for converting SEK to Euros than either SEB or Nordea.
Unfortunately, as it's UK based, it's not at all clear if Revolut will continue to exist in its current form after brexit.