Answer the question on the assumption that the legal reserve ratio is 20 percent. Suppose that the Fed sells $500 of government securities to commercial banks (paid for out of commercial bank reserves) and buys $500 of securities from individuals, who deposit the cash in checking accounts. As a result of the given transactions, reserves in the banking system will:

A. remain unchanged.
B. rise by $100
C. rise bi $1000
D. fall by $100