Simplified movement of value across international borders, avoiding excessive exchange fees.

Mind you, I don't think in its present form it is worth it (POW is intrinsically power-intensive; a lot of things about the banking system that seem like bugs are actually features; etc).

But I think A) value stored in tokens, and B) decentralized ledgers and nonrepudiation are things that are may want to have as core financial services in the future.