Answer:
The five banks' reserves will increase by $50 million, while the monetary base will increase by $100 million ($50 million in banks and $50 million out with the clients)
Step-by-step explanation:
The five banks:
assets liabilities
reserves +$100 million Fed's loan +$100 million
reserves -$50 million clients' deposits -$50 million
net effect
reserves +$50 million Fed's loan +$100 million
clients' deposits -$50 million
The Fed :
assets liabilities
loans to 5 banks reserves in banks +$50 million
+$100 million
currency +$50 million
net effect
loans +$100 million reserves +$50 million
currency +$50 million