A Bank has the following Credit Portfolio Loan Expected Portfolio Volatility Amount Return Credit A $1.0 10.0% 1.0% Credit B $1.5 12.0% 2.0% Credit C $3.0 14.0% 3.0% Credit D $0.5 16.0% 4.0% Credit E $0.2 18.0% 5.0% Credit F $2.0 20.0% 6.0% What is the risk in decimals on the bank's loan portfolio if loan returns are correlated as follows? (Round to two decimals) Credit A Credit B Credit C Credit D Credit E Credit F Credit A 0.4 -0.5 0.2 -0.3 -0.8 Credit B 0.7 0.6 0.5 0.4 Credit C -0.1 -0.8 -0.9 Credit D 0.2 0.4 Credit E -0.2 Credit F
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- A bank holds a loan portfolio with the following characteristics: Loan i Xi Annual spread between loan rate and bank’s cost of funds Annual fees Loss to bank given default Expected default frequency Correlation 1 .6 6% 3% 20% 3% -0.2 2 .4 5% 2% 30% 5% Question 1: what is the return and standard deviation on loan 1? Question 2: what is the return and standard deviation on loan 2?Consider a bank with the following balance sheet (Shown in image):a) Calculate the equity (total asset – total liability) to asset ratio of the bank(Hint: equity to asset ratio = total equity/total asset) b) Calculate the duration and convexity of the both asset and liability sides; c) If the interest rates go up by 1%, using the duration and convexity rule to determine the networth of the bank and the equity to asset ratio; d) In c)’s scenario, to maintain the equity to asset ratio at 40% which is required by the regulation,the bank decides to raise cash (zero duration and zero convexity) from the equity holders.How much cash does the bank need to raise? e) Do you agree with the following statement? Explain why. “The information about a bond’s duration and convexity adjustment is sufficient to quantifyinterest rate risk exposure.”Consider the following bank balance sheet and the associated yields for earning assets and costs of liabilities. Assets Amount (000). Rate cash 400. 0% securitie 1600. 6.5% commercial loans 4000 9.0% credit card loans 3300. 10.0% loss reserves. 200 other assets 500 total assets. 10,000 Liabilities and equity Demand deposits. 1600 MMDAs. 3600 6.0% CDs. 2600 6.5% ST deposits. 1360. 5.0% Deferret tax credit. 200 Equity 640 total. 10000 Assume that net charge-offs $44,000 cash taxes paid $78,000 and allocated risk capital is $550,000 with a capital charge of 6 percent. determine : a) Calculate and show the bank income statement.
- A security analyst calculates the following ratios for two banks. How should the analyst evaluate the financial health of the two banks.Bank A Bank BROE 22% 24%ROA 2% 1.5%Equity Multiplier 11X 16XProfit Margin 15% 14%Asset Utilization 13% 11%Spread 3% 3%Interest Exp. Ratio 35% 40%Provision for loan loss ratio 1% 4%Using the image attached: a) Calculate the equity (total asset – total liability) to asset ratio of the bank(Hint: equity to asset ratio = total equity/total asset)b) Calculate the duration and convexity of the both asset and liability sides;c) If the interest rates go up by 1%, using the duration and convexity rule to determine the networth of the bank and the equity to asset ratio; d) In c)’s scenario, to maintain the equity to asset ratio at 40% which is required by the regulation,the bank decides to raise cash (zero duration and zero convexity) from the equity holders.How much cash does the bank need to raise?e) Do you agree with the following statement? Explain why. “The information about a bond’s duration and convexity adjustment is sufficient to quantifyinterest rate risk exposure.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 -$800
- Reserves Treasury Securities Real Estate Loans Commercial Loans O 7.69%, No O 8.14%, Yes Assets O 7.27%, No O 6.45%, Yes Table 10 $15 $10 $64 $66 Use Table 10 to calculate the risk weighted capital ratio of First National Bank. Is it well capitalized? Use weights of zero for risk free assets and 0.95 for risky assets. Deposits Capital Liabilities $145 ?Given Bank A's Statement of Condition and Statement of Earnings, answer the next two questions: If the average net interest margin for this type of bank is 4.65 percent, then, ceteris paribus, this particular bank is performing(a) A bank has an ROA of 1% and an ROE of 9%. What is the equity multiplier for the bank? (b) A bank has an ROA of 1% and an equity multiplier of 9. What is the ROE for the bank?
- For the below questions use these rates that your bank has quoted you: EUR/USD: 1.0175 – 1.0180 GBP/USD: 1.2065 – 1.2070 USD/CAD: 1.2930 – 1.2935 USD/JPY: 134.85 – 134.90 AUD/USD: .6905 - .6910 Calculate the following crosses: GBP/CAD GBP/JPY CAD/JPYQUESTION #1 Populate the following “T-accounts” with the following data, please make sure where double entry is required $100 million in mortgage-backed securities (MBS) $200 million demand deposits $20 million in reserves held by banks $100 million in Treasury securities held by banks $50 million in Treasury securities held by the Fed $5 million in overnight borrowing by banks from the Fed Households Banks Federal Reserve Treasury ___A_______L___ ___A_______L___ ___A_____L___ ___A_____L___Suppose that the assets of a bank consist of $100 million of loans of BBB-rated corporations. The PD for the corporations is estimated as 1%. The average maturity is five years and the LGD is 60%. What is the total risk-weighted assets for credit risk under the Basel II advanced IRB approach? Question 5Answer a. $178.1 million b. $13.2 million c. $165.4 million d. $100 million