What would change under Mr. Hill’s plan is how deposit insurance is funded. Starting in 2017, eurozone depositors would be able to draw from the European fund — but only once national insurance funds were fully depleted. After 2020, depositors would be able to retrieve steadily larger amounts of European money as part of what European Union officials called a “progressively mutualized system.” By 2024, a European fund amounting to about €43 billion would fully guarantee deposits across the eurozone.