Pretty sure every protection or insurance fund, be it for pensions or bank deposits has limits on size and generally holds enough money to bail out one, maybe two failing institutions.
In case of a systemic failure I'd assume all such schemes to be basically tits up and "please central bank bail us out of our idiocy so we can continue to scam our customers".
Yes, they exist to bail out an occasional or small failure. QE originated due to systemic risk, there's plenty of sources and interviews from the credit crunch where it all began... Systemic failure = its all over, for everyone!
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