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10. Bank of Ariel Foster's balance sheet is listed below. Market yields and durations (in years) are in parenthesis, and amounts are in millions. Assets
10. Bank of Ariel Foster's balance sheet is listed below. Market yields and durations (in years) are in parenthesis, and amounts are in millions. Assets Liabilities and Equity Cash $31 Demand deposits $253 Fed funds (2.05%, 0.02) 150 Savings accounts (0.5%, 1.25) 50 3-month T-bills (3.25%, 0.22) 200 MMDAs (3.5%, 0.50) 8-year T-bonds (6.50%, 7.55) 250 (no minimum balance requirement) 460 5-year munis (7.20%, 4.25) 50 3-month CDs (3.2%, 0.20) 175 6-month consumer loans (5%, 0.42) 250 1-year CDs (3.5%, 0.95) 375 5-year car loans (6%, 3.78) 350 5-year CDs (5%, 4.85) 350 7-month C&I loans (4.8%, 0.55) 200 Fed funds (2%, 0.02) 225 2-year C&I loans (4.15%, 1.65) 275 Repos (2%, 0.05) 290 Fixed-rate mortgages (5.10%, 0.48) 6-month commercial paper (maturing in 5 months) 450 (4.05%, 0.55) 300 Fixed-rate mortgages (6.85%, 0.85) Subordinate notes: (maturing in 1 year) 300 1-year fixed rate (5.55%, 0.92) 200 Fixed-rate mortgages (5.30%, 4.45) Subordinated debt: (maturing in 5 years) 275 7-year fixed rate (6.25%, 6.65) 100 Fixed-rate mortgages (5.40%, 18.25) Total liabilities $2,778 (maturing in 20 years) 355 Premises and equipment Equity 378 Total assets $3.156 Total liabilities and equity $3.156 20 a. What is the repricing gap if the planning period is six months? One year? What is Bank of Ariel Foster's duration gap? b. c. What is the impact over the next six months on net interest income if interest rates on RSAs increase 50 basis points and on RSLs increase 35 basis points? Explain the results. d. What is the impact over the next year on net interest income if interest rates on RSAS decrease increase) 35 basis points and on RSLs decrease (increase) 50 basis points? Explain the results. e. Use these duration values to calculate the expected change in the value of the assets and liabilities of Bank of Ariel Foster for a predicted decrease of 0.35 percent in interest rates on assets and 0.50 percent on liabilities. f. What is the change in equity value forecasted from the duration values for decrease of 0.35 percent in interest rates on assets and 0.50 percent on liabilities? Use the duration gap model to calculate the change in equity value if the relative change in all market interest rates is a decrease of 50 basis points. 10. Bank of Ariel Foster's balance sheet is listed below. Market yields and durations (in years) are in parenthesis, and amounts are in millions. Assets Liabilities and Equity Cash $31 Demand deposits $253 Fed funds (2.05%, 0.02) 150 Savings accounts (0.5%, 1.25) 50 3-month T-bills (3.25%, 0.22) 200 MMDAs (3.5%, 0.50) 8-year T-bonds (6.50%, 7.55) 250 (no minimum balance requirement) 460 5-year munis (7.20%, 4.25) 50 3-month CDs (3.2%, 0.20) 175 6-month consumer loans (5%, 0.42) 250 1-year CDs (3.5%, 0.95) 375 5-year car loans (6%, 3.78) 350 5-year CDs (5%, 4.85) 350 7-month C&I loans (4.8%, 0.55) 200 Fed funds (2%, 0.02) 225 2-year C&I loans (4.15%, 1.65) 275 Repos (2%, 0.05) 290 Fixed-rate mortgages (5.10%, 0.48) 6-month commercial paper (maturing in 5 months) 450 (4.05%, 0.55) 300 Fixed-rate mortgages (6.85%, 0.85) Subordinate notes: (maturing in 1 year) 300 1-year fixed rate (5.55%, 0.92) 200 Fixed-rate mortgages (5.30%, 4.45) Subordinated debt: (maturing in 5 years) 275 7-year fixed rate (6.25%, 6.65) 100 Fixed-rate mortgages (5.40%, 18.25) Total liabilities $2,778 (maturing in 20 years) 355 Premises and equipment Equity 378 Total assets $3.156 Total liabilities and equity $3.156 20 a. What is the repricing gap if the planning period is six months? One year? What is Bank of Ariel Foster's duration gap? b. c. What is the impact over the next six months on net interest income if interest rates on RSAs increase 50 basis points and on RSLs increase 35 basis points? Explain the results. d. What is the impact over the next year on net interest income if interest rates on RSAS decrease increase) 35 basis points and on RSLs decrease (increase) 50 basis points? Explain the results. e. Use these duration values to calculate the expected change in the value of the assets and liabilities of Bank of Ariel Foster for a predicted decrease of 0.35 percent in interest rates on assets and 0.50 percent on liabilities. f. What is the change in equity value forecasted from the duration values for decrease of 0.35 percent in interest rates on assets and 0.50 percent on liabilities? Use the duration gap model to calculate the change in equity value if the relative change in all market interest rates is a decrease of 50 basis points
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