Final answer:
The maximum amount by which the bank may increase its loans is a. $2,000.
Step-by-step explanation:
The reserve requirement is the percentage of deposits that banks are required to hold as reserves. In this case, the reserve requirement is 20%. If a bank initially has no excess reserves and $10,000 cash is deposited in the bank, the maximum amount by which this bank may increase its loans is:
$10,000 x 0.2 (reserve requirement) = $2,000
So, the maximum amount by which this bank may increase its loans is $2,000.