Speaking on The Pat Kenny Show, Lagarde underscored Europe’s dependence on foreign digital payment infrastructure. “Visa, MasterCard, PayPal and Alipay are all controlled by American or Chinese companies,” she noted, arguing, “We should make sure there is a European offer.”
When you’re looking at your bank balance you’re seeing bank Euros, for which your bank has to hold a certain percentage of actual (central bank) Euros in reserve (that’s what fractional reserve banking is about: Not just the central bank, also ordinary banks can create money), when you transfer money to another bank the receiving bank will have to make sure that it has enough central bank Euros to back up the recipient’s balance. SEPA is a standard interface and procedure to negotiate such transfers.
The Digital Euro is central bank money, just as bank notes and coins. It’s a (possible) step towards a full-reserve banking system without having to actually keep actual notes and coins around. And the ECB is very aware of this which is why they’re talking so much about limiting how many digital Euros you can hold at one time so the current banking system doesn’t get completely up-ended over night.
…if that doesn’t really answer anything then that’s because money is fucking complex, and how our system works is completely unintuitive. But, essentially, Digital Euros are the same stuff as money under the mattress, just digitally.