Couple things arrived today. First was the bank statement, showing the successful transfer of a slightly worryingly large amount of money. The exchange rate we got was 6.888 Swedish Kronor to the dollar. I had planned 6.9 in my budget so that's about right. (Wouldn't mind it skyrocketing into the 7's though!)
Second was a letter from Värmdö which Sooz was pretty much able to read, (and which Margaret later confirmed), that said they had received our application. They asked for a drawing of the house's orientation on the land, and that is exactly what Rutger and I plan to confirm in a couple weeks, so that's fine.