Mishkin • Instructor’s Manual for The Economics of Money, Banking, and Financial Markets, Twelfth Edition 124
22. Excess reserves act as insurance against deposit outflows. Suppose that on a yearly basis
Malcom Bank holds $12 million in excess reserves and $88 million in required reserves.
Suppose that Malcom Bank can earn 3.5% on its loans and that the interest paid on (total)
reserves is 0.2%. What would be the cost of this insurance policy?
The cost of the insurance policy is the amount of foregone interest income equal to $12 ×
23. Victory Bank reports an EM of 25, while Batovi Bank reports an EM equal to 14. Which
bank is better prepared to respond against large losses on loans?
24. Suppose you are the manager of a bank whose $100 billion of assets have an average
duration of four years and whose $90 billion of liabilities have an average duration of six
years. Conduct a duration analysis for the bank, and show what will happen to the net worth
of the bank if interest rates rise by 2 percentage points. What actions could you take to
reduce the bank’s interest-rate risk?
The assets fall in value by $8 million (= $100 million u –2% u 4 years) while the liabilities fall
in value by $10.8 million (= $90 million u –2% u 6 years). Because the liabilities fall in value
25. Suppose you are the manager of a bank that has $15 million of fixed-rate assets, $30 million
of rate-sensitive assets, $25 million of fixed-rate liabilities, and $20 million of rate-sensitive
liabilities. Conduct a gap analysis for the bank, and show what will happen to bank profits if
interest rates rise by 5 percentage points. What actions could you take to reduce the bank’s
interest-rate risk?
The gap is $10 million ($30 million of rate-sensitive assets minus $20 million of rate-
sensitive liabilities). The change in bank profits from the interest rate rise is +$0.5 million