To determine how much a bank is allowed to loan out, you first need to calculate the required reserves based on the deposits.
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Calculate required reserves: \[ \text{Required Reserves} = \text{Deposits} \times \text{Reserve Requirement} \] \[ \text{Required Reserves} = 400 \times 0.05 = 20 \]
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Calculate how much the bank can loan out: \[ \text{Amount Allowed to Loan Out} = \text{Deposits} - \text{Required Reserves} \] \[ \text{Amount Allowed to Loan Out} = 400 - 20 = 380 \]
Based on this calculation, the bank is allowed to loan out $380.
So, the answer is: $380.