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The simple deposit multiplier is ?D = (1/rr) × ?R, where ?D = change in deposits; ?R = change in reserves; rr = required reserve ratio. The simple deposit multiplier assumes that banks hold no excess reserves and that the public holds no currency.

How Are Bank Reserves Calculated? A bank's reserves are calculated by multiplying its total deposits by the reserve ratio. For example, if a bank's deposits total $500 million, and the required reserve is 10%, multiply 500 by 0.10. The bank's required minimum reserve is $50 million.

The maximum amount by which demand deposits can expand is given by the equation: ADD = AER/r. ADD is the expansion of demand deposits, AER is the excess reserves in the banking system, and r is the required reserve ratio. Thus, the maximum amount by which demand deposits can expand is equal to $30 million ($3/0.10).

A monetary reserve is the holdings of currencies, precious metals, and other highly liquid assets used to redeem national currencies and bank deposits and to meet current and near-term financial obligations by a country's central bank, government treasury, or other monetary authority.