True or False?
A rate sensitive asset is an asset whose interest rates will be repriced or changed over some future
period. - Answers True
True or False
If a bank has a negative repricing gap, the bank is exposed to refinancing risk, or the risk that interest
rates will increase and the cost of rolling over or reborrowing funds will be higher than the interest
revenue being earned on assets. - Answers True
A bank has rate sensitive assets of $100 and rate sensitive liabilities of $70. If interest rates increased
by 1%, what would be the expected annual change in net interest income? - Answers $0.30
100-70 = 30
1% x 30 = .30
A bank is facing a forecast of rising interest rates. What is the ideal repricing and duration gap? -
Answers Positive repricing gap and negative duration gap
A negative repricing gap is preferred when interest rates are expected to rise (interest income will go
up by more than interest expense goes up), and the negative duration gap implies a positive
relationship between changes in interst rates and changes in the market value of the financial
institution.
True or False
The higher the duration, the less sensitive the bond price is to changes in interest rates. - Answers
False
A bank has three assets. It has $75 million invested in consumer loans with a 3-year duration, $39
million invested in T-Bonds with a 16-year duration, and $39 million in 6-month maturity T-Bills with a
0.5-year duration. What is the duration of the bank's asset portfolio in years? - Answers (75/153)*3 +
(39/153)*16 + (39/153)*0.5 = 5.6765 years
A bond has three years left until it matures, the yield to maturity on the bond is 5% and the annual
coupon rate is 6%. If the face value (par value) of the bond is $1000, calculate the bond's duration in
years. - Answers Bond price equals 1027.23
Duration numerator is 60/1.05 + (2*60)/1.05^2 + (3*1060)/1.05^3 = 2,912.99
So duration is 2912.99/1027.23 = 2.8358 years
A bank has DA = 2.4 years and DL= 0.9 years. The bank has total equity of $82 million and total assets
of $850 million. What is the bank's duration gap in years? - Answers 2.4 - 0.9035*0.9
where k = (850-82)/850 = 0.9035
Duration gap model - Answers incorporates the impact of interest rate changes on the overall market
value of an FI's balance sheet and ultimately on its owners' equity or net worth
Insolvency risk - Answers the result, a consequence, or an outcome of excessive amounts of one or
more of the risks taken by an FI (for example, liquidity risk, credit risk, and interest rate risk)
If the Fed wants to slow down the economy - Answers it will tighten monetary policy by taking
actions that raise interest rates
If the Fed wants to stimulate the economy - Answers it allows interest rates to fall
Duration - Answers measures the interest rate sensitivity of an asset or liability's value to small
changes in interest rates
Effect of interest rate changes on the market value of an FI's equity or net worth (∆E) breaks down
into three effects - Answers Leverage-adjusted duration gap = DA - kDL.
Size of the FI.
Size of the interest rate shock
Difficulties in Applying the Duration Model to Real-World FI Balance Sheets - Answers Duration
matching can be costly.
Immunization is a dynamic problem.
Large interest rate changes and convexity.
True or False