Using the balance sheet below for a financial institution, and the duration of asset is 3.5 years, the duration of liabilities .5 years. Assets Reserves T-bills Mortgages Liabilities 5 m Money Market Deposits 5 m 50 m 1-year CDs 85 m 40 m Capital 10 m 5 m Commercial Loans What is the Duration Gap of this company? greater than 3 years 3 years O less than 3 years
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- NoneGiven the following information, calculate the duration of assets and liabilities. Assets Amount Rate Duration Cash 90 Loans 800 12% 2 years Treasuries 110 9% 8 years Liabilities and Equity Time deposits 500 6% 1.75 years CDs 425 8% 2.50 years Equity 75A bank makes an amortizing loan of $200,000 with a maturity of 8 years and equal payments every year. What is the principal outstanding at the end of year 6 if the interest rate is 6%? A $27,041.78 B $30,384.41 C $59,048.42 D $86,092.20
- Balance Sheet (dollars in thousands) and Duration (in years) Duration AmountT-bills. 0.5 $ 90T-notes 0.9 55T-bonds 4.393 176Loans 7 2,724Deposits. 1 2,092Fed. funds 0.01 238Equity 715What is the average duration of all the assets? What is the average duration of all the liabilities? What is the FI’s leverage-adjusted duration gap? What is the FI’s interest rate risk exposure? If the entire yield curve shifted upward 0.5 percent (i.e., ΔR/(1 + R) = 0.0050), what is the impact on the FI’s market value of equity? If the entire yield curve shifted downward 0.25 percent (i.e., ΔR/(1 + R) = −0.0025), what is the impact on the FI’s market value of equity?Consider the following Balance Sheet for Cutting Edge Commercial Bank(CECB) (in millions) ASSETS LIABILITIES Floating rate mortgages 120 Demand deposits 110 (currently 14% annually) (currently 5% annually) 30 years fixed rate loans 1 year CD 50 (currently 9% annually) 80 (currently 8% annually) Equity 40 200 200 1. What is CECB expected net interest income (NII) at year-end? 2. What is CECB expected net interest income at year end if interest rates fell by seven percent (7%). 3. What is CECB expected net interest income at year end if interest rates grew by 300 basis points on assets, but decline by 2% on liabilities.Use the following to answer questions 3-4: Use balance sheet available for an FI (all in market values). Consumer loans $150 m Liabilities $300 m Commercial Loans $250 m Equity $100 m Total Assets $400 m Total Liabilities & Equity $400 m The average duration of the loans is 8 years. The average duration of the liabilities is 2 years. 3. What is the duration gap of the bank's portfolio? A. 10 years B. 6.3 years C. 6.5 years D. 7.98 years E. 8.0 years 4. What is the change in the value of the FI's equity for a 1 percent increase in interest rates from the current rates of 0.07 (1.e., 7 percent)? Assume flat term structure, and parallel shifts in yield curves. Use the duration concept. A. $17.30987 m B. $19.51818 m C. -S 22.59093 m D. -$23.11114 m E. - $24.29906 m
- Subject:- finance. Estimate the duration of Loan MBank Balance SheetCash = $ 50Loan M (7%, 6 years) = $200Deposit N (3 years, 2%) = $ 200Equity = $ 50Total Assets = $250Total Liabilities = $ 250 a. 3.1 years b. 4.1 years c. 5.1 years d. 6.1 yearsConsider the following balance sheet for Whiz Financial Services Limited: Assets K Liabilities K Cash 6.25 Equity 25.00 Short term consumer loans (1 yr maturity) 62.50 Demand deposits 50.00 Long term consumer loans (2 yr maturity) 31.25 31.25 Client Savings accounts 37.50 3 month T-Bills 37.50 3 month CDs 50.00 6 month T-Bills 43.75 3 months Bankers Acceptances 25.00 3 year T-Bonds 75.00 6 month commercial paper 75.00 10 year, fixed rate mortgages 25.00 1 year time deposits 25.00 30- year floating rate mortgages 50.00 2-year time deposits 50.00 premises 6.25 - Total 337.50 337.50 Required:A. Calculate the value of the rate sensitive assets, rate sensitive liabilities and therepricing gap over the next year. B. Calculate the expected change in the net interest income for the bank if interestrates rise by 1 percent on both rate sensitive…
- In the following balance sheet, Loan A(8%, 3 year)= $150 Deposit A(5%, 2 years)=$250Loan B(11%, 4 years)= $200 Deposit B(7%, 3 year)= $100Total Assets = $350 Total Liabilities = $350The GAP 3 yr=-200 if all interest rates decrease by 3%, net impact on net interest income (ΔNII) is a. +$6 b. +$7 c. +$8 d. +$9FRM. (Term=30 years, Note Rate = 5.25, Loan Amount = 800,000, Points=2) What is the FTL annual percentage rate (FTLAPR) that the lender must disclose to the borrower? O 5.375% ○ 4.750% O 4.875% O 7.000% O 6.905% O 7.011%What is the weighted average duration assets?