A)What is the amount of RSA, RSL and the income gap amount? B) Calculate the duration gap. C)What is the change in this bank’s net income if the interest rises by 1%, does it go up or does it go down? Show work D) What happens when the interest rises by 1% to this bank’s asset value, liability value and the net worth in dollar amounts? Show work
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Financial Ratios
A Ratio refers to a figure calculated as a reference to the relationship of two or more numbers and can be expressed as a fraction, proportion, percentage, or the number of times. When the number is determined by taking two accounting numbers derived from the financial statements, it is termed as the accounting ratio.
Return on Equity
The Return on Equity (RoE) is a measure of the profitability of a business concerning the funds by its stockholders/shareholders. ROE is a metric used generally to determine how well the company utilizes its funds provided by the equity shareholders.
A)What is the amount of RSA, RSL and the income gap amount?
B) Calculate the duration gap.
C)What is the change in this bank’s net income if the interest rises by 1%, does it go up or does it go down? Show work
D) What happens when the interest rises by 1% to this bank’s asset value, liability value and the net worth in dollar amounts? Show work.
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- Assume a bank has the following balance sheet. Determine the 2-year GAP. AssetAmount LiabilityAmountCash$100 90-day CDs$1006-month Gbonds$400 360-day CDs$200 2-yearcommercialloans$400 Time Deposits 2- year $900 5-year fixedrate loans$500 Stockholder’s equity$200 Total$1,400 Total$1,400 GAP = (RSA2 yr – RSL2 yr) 0 -$100 -$200 -$300 -$800Consider the following Balance Sheet for Forward Thinking Commercial Bank(FTCB) (in millions) ASSETS LIABILITIES Floating rate mortgages 250 Demand deposits 300 (currently 14% annually) (currently 5% annually) 30 years fixed rate loans 1 year CD 50 (currently 9% annually) 120 (currently 8% annually) Equity 20 370 370 a. What is FTCB expected net interest income (NII) at year end? b. What is FTCB expected net interest income at year end if interest rates fell by seven percent (7%). c. What is FTCB expected net interest income at year end if interest rates grew by 300 basis points on assets, but decline by 2% on liabilities.Consider the following repricing buckets: Repricing Bucket Assets Liabilities 1 day $100,000 $240,000 1 day to 3 months $200,000 $140,000 3 to 6 months $200,000 $200,000 6 to 12 months $500,000 $160,000 1 to 5 years $150,000 $260,000 Over 5 years $50,000 $200,000 What is the change in the bank’s future net interest income if the average rate change for assets and liabilities that can be repriced within 12 months is an decrease of 1%? Round your final answer to 2 decimal places. E.g. if the final answer is -$3,590 , type -3,590 in the answer box. If the final answer is $3,590 , type 3,590 in the answer box (i.e do not type the dollar sign) .
- Assume a bank has the following (very simplified) balance sheet. 1)Assets Mortgages Fixed rate, 15 year, annual payments, both the coupon rate and yield-to-maturity are 8% Floating rate, 15 year, rate: LIBOR + 2%, (duration = 0) 2)Liabilities Overnight deposits, rate: 0.6%, (duration = 0) 2 year CD, rate: 2%, assume it is a zero coupon 3 year CD, rate: 4%, assume it is a zero coupon 3) Assignment: Calculate weights which will immunize the portfolio. Note this is a set of weights, there is not one unique solution. You don't have to calculate the full set, just some set of weights which immunizes the portfolio. Now say you can only invest 50% of your assets in floating rate mortgages. What is the minimum amount of interest rate risk you can have? What will happen to the value of your portfolio if interest rates increase by 1%?Use the following information about IGI security dealer. Market yields are in parenthesis, and amounts are in millions. Assets Liabilities and Equity Cash $10 Overnight Repos $170 1 month T-bills (7.05%) 75 Subordinated debt 3 month T-bills (7.25%) 75 7-year fixed rate (8.55% 150 2 year T-notes (7.50%) 50 8 year T-notes (8.96%) 100 5 year munis (floating rate) (8.20% reset every 6 months) 25 Equity 15…1.Consider the following repricing buckets: Repricing bucket Assets Liabilities 1 day $150,000 $240,000 1 day to 3 months $200,000 $140,000 3 to 6 months $200,000 $200,000 6 to 12 months $500,000 $160,000 1 to 5 years $150,000 $260,000 Over 5 years $50,000 $200,000 What is the annualised change in the bank’s future net interest income if the average rate change for assets and liabilities that can be repriced within one year is an increase of 0.5%? Round your final answer to 2 decimal places. E.g. if the final answer is $583.117 please type 583.12 in the answer box (do not type the dollar sign). 2.Key financial data and ratios are reported in the table below for ABC bank and for its competitor, DEF bank: Ratio ABC Bank DEF Bank Profit margin 6% 8% ROA 16%…
- Consider the following Balance Sheet for Forward Thinking CommercialBank(FTCB) (in millions) Assets Liabilities Floating rate mortgages (currently 14% annually) 250 Demand deposits (currently 5% annually) 300 30 years fixed rate loans 120 1 year CD (currently 8% annually) 50 Equity 20 370 370 a. What is FTCB expected net interest income (NII) at year end? b. What is FTCB expected net interest income at year end if interest rates fell by seven percent (7%). c. What is FTCB 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 mConsider 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.
- bank overdraft R22000, trade and other payables R99000, portion of loan to be paid next month R30000 and mortgage bond R180000. the total for current liabilities isConsider an FI with the following off-balance-sheet items: A two-year loan commitment with a face value of $120 million, a standby letter of credit with a face value of $20 million and trade-related letters of credit with a face value of $70 million. All counterparties have a credit rating of BBB. What is the total capital amount the FI needs to hold against these exposures? (Assume data obtained from 2020 FI records) Select one: A. $5.04 million B. $9.87 million C. $8.4 million D. $7.52 millionBalance 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?