# balance sheet of XYZ Bank

The balance sheet of XYZ Bank appears below. All figures in millions of US Dollars.
a. Calculate total one-year rate-sensitive assets.
b. Calculate total one-year rate-sensitive liabilities.
c. Calculate one-year repricing GAP for the bank.
d. Suppose that interest rates rise by 2 percent on both RSAs and RSLs. What would be the
expected annual change in net interest income of the bank?
2. A government bond currently carries a yield to maturity of 6 percent and a market price of
\$1,168.49. If the bond promises to pay \$100 in interest annually for five years, what is its current
duration?
3. Suppose that you purchase a bond that matures in five years and pays a 13.76% coupon rate
annually. The bond is priced to yield 10%. What’s the duration?
4. A \$1,000 par value bond with five years left to maturity pays an interest payment semiannually
with a 6% coupon rate and is priced to have a 5% yield to maturity. If interest rates surprisingly
increase by 0.5%, by how much would the bond’s price change?
5. Suppose that a savings institution has an average asset duration of 2.5 years and an average
liability duration of 3.0 years. If the savings institution holds total assets of \$560 million and total
liabilities of \$467 million, does it have a significant leverage-adjusted duration gap? If interest
rates rise, what will happen to the value of its net worth?
6. Why do we need to make a convexity adjustment to estimate a bond’s percentage price change
with respect to a given change in interest rates?
7. Blue Moon National Bank holds assets and liabilities whose average durations and dollar
amounts are as shown in this table:
Asset and Liability Items
Avg. Duration
(years)
Dollar Amount
(millions)