Solution:
Question1:
Given
reserves = $100
loans = $800
T-bills = $100
deposits = $1000
The reserve requirement is 10%.
If the Fed buys $50 worth of T-bills from this bank, immediately after that exchange, before the bank expands its lending in response, the bank's reserves would equal ._______
calculation:
If Fed buys $50 amount of Treasury bill,
Then,
Reserves = 100+50
Reserves = $150
Question 2:
Given
reserves = $100
loans = $800
T-bills = $100
deposits = $1000
Immediately after the Fed buys the securities, but before the bank expands its lending in response, the bank's excess reserves would equal -___________
calculation:
Required reserved for the bank = Required reserve ratio*deposits
= 10%*1000
= $100
Excess reserve = total reserve – required reserve
= 150-100
= $50
ie T-bill account balance = $(100 - 50) = $50
Question 3:
explanation:
When the Federal Reserve buys $50 in Treasury bills from commercial banks, itsassets increase by $50 (it now owns $50 in Treasury bills) but its liabili-ties also increase by $50 million as it credits the banks’ accounts at the Federal Reserve,. From the perspective of commercial banks, their assets fall by$50 because they sell Treasury bills to the Fed, but their assets also rise by $50 when their deposits at the Fed are credited with $50
hence,
In the initial balance sheet, Excess Reserves were equal to zero. Thus, as a result of the Fed's purchase of $50 of T-bills, the initial change in Excess Reserves = $ 50
Once the banking system has fully responded to this change in reserves, the ultimate change in lending = the initial change in Excess Reserves x (1/rr) = $50*(1/0.1)= $500
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