If it's a money market deposit account, and the bank or credit union is federally insured, your deposits at a given institution would be covered up to the legal maximum insured amount, which will be $250,000 per depositor through 12/31/2013 (more for various forms of ownership - consult the bank for details). The insurance limit is scheduled to fall back to $100,000 after that date unless legislation changes it. Funds in excess of the insurance limits would not be insured if the bank fails. We have a lot more information on deposit insurance in our "Keeping Your Money Safe" section.
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