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Deposit Related to Lending

If I deposit $1000 in a bank, and the required reserve rate is 10%, can the bank lend out $10,000, or just $900?


Theoretically, the bank can lend ten times the deposit, if the funds it lends are always deposited in a transaction account in the same bank with a 10% reserve requirement. If the reserve requirement were 20%, the multiple drops from 10 to 5.

In fact, the theoretical multiplier is always the reciprocal of the reserve requirement expressed as a fraction.

10% = 1/10, multiplier is 10/1, or 10
5% = 1/20, multiplier is 20/1, or 20
20% = 1/5, multiplier is 5/1, or 5
etc.

Published on BankingQuestions.com 8/27/09