Does starting a new bank make sense?

My reasoning for starting a new bank is that creditworthy customers would rather trust that their money is held with a bank that is 100% free of toxic assets and that it won't go bust. People tell me I must be crazy to want to start a new bank because a) no one trusts banks any more and b) no one has money any more. I don't think b is true and a happens because existing banks have a lot of bad loans/investments in their books. A new bank that has none of it can earn the trust of creditworthy customers. It seems good business to me to want to start a new bank despite the turmoil in global finance.

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