The numbers provided are in millions of dollars and reflect market values: Cash T-Bills 30 days (4.5%, PAR) years T-Bills 91 days (5.0%, PAR) duration=3.5 years Commercial Loans 150 (Avg. maturity = 9.0 years) (Avg. duration = 7.5 years) Consumer Loans 150 (Avg. maturity = 6.0 years) (Avg. duration=4.0 years) 20 Deposits 200 Mortgage Loans - Fixed Rate (Avg. maturity = 30 years) (Avg. Duration = 25 years) 130 TOTAL ASSETS EQUITY 830 200 50 (Historical avg. maturity=4 60 (Historical avg. 300 Certificates of Deposit (Avg. maturity=6 months) (Avg. duration=6 months) 200 Short-term Debt (Avg. maturity 4 years) Long-term Debt 200 (Avg. maturity=15 years) (Avg. duration=12 years) Equity 830 TOTAL LIABILITY & A. The short-term debt of the DePaul University Bank consists of 4- year bonds paying an annual coupon of 4 percent and selling at par. What is the duration of the short-term debt?

ENGR.ECONOMIC ANALYSIS
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ISBN:9780190931919
Author:NEWNAN
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Chapter1: Making Economics Decisions
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The numbers provided are in millions of dollars and reflect market
values:
Cash
T-Bills 30 days (4.5%, PAR)
years
T-Bills 91 days (5.0%, PAR)
duration=3.5 years
Commercial Loans
150
(Avg. maturity = 9.0 years)
(Avg. duration = 7.5 years)
Consumer Loans
150
(Avg. maturity = 6.0 years)
(Avg. duration=4.0 years)
20 Deposits
200
Mortgage Loans - Fixed Rate
(Avg. maturity = 30 years)
(Avg. Duration = 25 years)
130
TOTAL ASSETS
EQUITY 830
200
50 (Historical avg. maturity=4
60 (Historical avg.
300 Certificates of Deposit
(Avg. maturity=6 months)
(Avg. duration=6 months)
200 Short-term Debt
(Avg. maturity=4 years)
Long-term Debt
200 (Avg. maturity=15 years)
(Avg. duration=12 years)
Equity
830 TOTAL LIABILITY &
A. The short-term debt of the DePaul University Bank consists of 4-
year bonds paying an annual coupon of 4 percent and selling at par.
What is the duration of the short-term debt?
B. What is the weighted average duration of the assets of the bank?
C. What is the weighted average duration of the liabilities of the bank?
D. What is the leveraged adjusted duration gap of the bank?
E. Discuss how the bank's risk management manager could
restructure its liabilities to reduce
interest rate exposure. Quantify how much it must change the
duration of its liabilities.
Transcribed Image Text:The numbers provided are in millions of dollars and reflect market values: Cash T-Bills 30 days (4.5%, PAR) years T-Bills 91 days (5.0%, PAR) duration=3.5 years Commercial Loans 150 (Avg. maturity = 9.0 years) (Avg. duration = 7.5 years) Consumer Loans 150 (Avg. maturity = 6.0 years) (Avg. duration=4.0 years) 20 Deposits 200 Mortgage Loans - Fixed Rate (Avg. maturity = 30 years) (Avg. Duration = 25 years) 130 TOTAL ASSETS EQUITY 830 200 50 (Historical avg. maturity=4 60 (Historical avg. 300 Certificates of Deposit (Avg. maturity=6 months) (Avg. duration=6 months) 200 Short-term Debt (Avg. maturity=4 years) Long-term Debt 200 (Avg. maturity=15 years) (Avg. duration=12 years) Equity 830 TOTAL LIABILITY & A. The short-term debt of the DePaul University Bank consists of 4- year bonds paying an annual coupon of 4 percent and selling at par. What is the duration of the short-term debt? B. What is the weighted average duration of the assets of the bank? C. What is the weighted average duration of the liabilities of the bank? D. What is the leveraged adjusted duration gap of the bank? E. Discuss how the bank's risk management manager could restructure its liabilities to reduce interest rate exposure. Quantify how much it must change the duration of its liabilities.
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