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Personal finance web service with account syncing in Germany
I don't think there is a law against it. For example comdirect offers multi banking so you can access your accounts from other banks through the comdirect website. My guess would be: Germans are very conservative when it comes to their money (preferring cash above cards, using "safe" low interest saving accounts instead of stocks) so there just might be no market for such a tool. There are desktop apps with bank syncing that offer different levels of personal finance management. Some I know are MoneyMoney, outbank, numbrs, GNUCash and StarMoney.