The thing that makes 2.5% so incredible in the US, is that it's the rate for a 30 year fixed mortgage. Get one of those loan today and you'd still be paying 2.5% interest in 2049.
Current 30 year rates in the EU are comparable to the US ones, maybe even lower.
Variable rate mortgages exist in the US.
Edit: Denmark apparently!
I got another mortgage in the deep of the aftermath of the 2008 crisis (2010/11 or so) and I had the same situation; rates were a bit higher then. I modeled various scenarios and basically a long fixed term mortgage would only be better if rates would double after, IIRC, 3 or 4 years after I got it. Despite my instinct that screamed 'NO' at variable rate mortgages, I got one anyway - and instead of going up, rates went down, significantly (in terms of their effect on monthly payments - I'm now paying more than 10% less per month than I did at the beginning).
Much of this is completely counterintuitive. This was the first time that cold hard reasoning and financial modeling made me direct profit, and it has done so several times since, but I also have to admit that it took me years to overcome the mental blocks and feeling of uneasiness that following through with real money on decisions that are based purely on facts. I know several people who got fixed terms mortgages around the time I got my first one, and they're still happy about it, they prefer the stability - even though they rationally know there is literally no downside to the variable rate one.
All that said, the Euribor-based mortgages mentioned elsewhere where you actually get paid for having a mortgage are no longer available :)
In other words, if you sit on your money, it might evaporate at a rate of -3%, but if you loan your money, it evaporates at a rate of -1%.
edit: for example, my mortage was the monthly Euribor-rate + 0.9% margin. Euribor-rate = -0.5, I pay 0.4%. But there are people who managed to get just a 0.5% margin. They pay nothing or get money back.
If you pay today’s price for a house in Palo Alto or condo in NYC and those areas fall in popularity, it could easily be a bad call.