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An agreement between a bank and a person or institution, whereby the bank agrees to hold money and/or other assets on behalf of the other party. What the holder may do with those assets depends upon the nature of the account. In a checking account or a savings account, the bank holds money and pays the client a certain percentage in interest. This payment gives the bank the right to lend the money to other clients or invest it within the confines of law and banking regulations. However, the client has the right to withdraw the total amount of money on demand.