Assume the required reserve ratio is \( 9 \% \), the amount of deposits in a bank are \( \$ 1,390 \), and the bank is holding \( \$ 577 \) in reserves. What is the maximum amount of additional loans this bank can make? Please round to two decimal places and do not include the dollar sign. For example, if your answer is \( \$ 5678.977 \) you would enter 5678.98 .
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To find the maximum amount of additional loans the bank can make, we first need to determine the required reserves based on the deposits. The required reserve ratio is \(9\%\), so we calculate the required reserves as follows: \[ \text{Required Reserves} = \text{Deposits} \times \text{Required Reserve Ratio} = 1390 \times 0.09 = 125.10 \] Next, we can calculate the excess reserves, which represent the amount available for additional loans: \[ \text{Excess Reserves} = \text{Actual Reserves} - \text{Required Reserves} = 577 - 125.10 = 451.90 \] Thus, the maximum amount of additional loans the bank can make is: \[ \text{Maximum Additional Loans} = \text{Excess Reserves} = 451.90 \] Final answer: 451.90