Answer the following questions regarding the balance sheet given below. Assume £1 = $1.40. a) Is this bank net short or net long? b) What is the net interest income (NII) if the value of the £ appreciates to $1.65? c) What is the net interest margin (NIM) if the value of the £ depreciates to $1.15? Assets Liabilities and Equity $800M in USD $200M in GBP $300M in USD $700M in GBP Country US UK Deposit Rate 6% 8% Lending Rate 7% 9%
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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.
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- Consider a bank with the following balance sheet (M means million): (Image attached as Q3) If the interest rates go up by 1%, using the duration and convexity rule, determine the net worth of the bank and the equity to asset ratio. ALSO In above 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?Consider a bank with the following balance sheet (M means million): (Image attached as Q3) If the interest rates go up by 1%, using the duration and convexity rule, determine the net worth of the bank and the equity to asset ratio. ALSO In above 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? Attempted to create formula for first part - is it correct?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) .
- A bank's duration gap is 1.92, and the current interest rate used to value all of the bank's assets and liabilities is 5.2%. What is the change in the bank's net worth (in % of TA) if the interest rate changes to 8%?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%…a)Assume that the following data is extracted from the financial statements of Richy-Rich bank: equity is $350 million, interest expense is $115 million, provision for loan loss (P) is $35 million, noninterest income is $30 million, noninterest expense is $50 million and a tax rate is 33%. What is the minimum total interest income required to give a return on equity (ROE) of 20%? Show workings when necessary. b) Be-smart Bank reported an equity multipler ratio of 6.5 at the end of year 2021. If the bank’s total debt at the end of year 2021 was $5 million, how much of its assets were financed with equity? Show calculations when necessary. c) What are the main sources of funding for commercial banks? Using bullet points, classify these sources and briefly describe each category.
- 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.If a bank has quarterly deposit interest expense of $1MM, an average deposit portfolio of $3.2Bn and it is 50% non-interest bearing and 50% interest bearing, what is the bank's Interest Bearing Deposit cost?Assume you have the following asset and liability in your Balance Sheet: Asset - Bond A Modified Duration = 2.6 years Value = RM1.5 million Liability - Bond B Modified Duration = 3.1 years Value = RM1.0 million a. Calculate the duration gap. b. What is the expected change in Net Worth if interest increases by 1%? c. What should or could you to achieve immunised balance sheet? Note: Please show all workings.
- 1. An amount of 5 million is placed on deposit from 17 August to 31 December at 6.7%. What would be the interest earned if the rate had been quoted on an ACT/365, ACT/360 or 30/360 basis? 2. A dealer quotes a rate of 6.7% on a 30/360 basis for an investment from 17 August to 31 December. What would be the equivalent rate if the customer asked him to quote it instead on an ACT/365 basis? 3. What is the present value of a cashflow of EUR 5,327.21 arising in 276 days, using 4.2% as the rate of discount?In the following balance sheet, estimate the impact on the economic value of equity (EVE). If interest rates of assets fall by 1% and deposit rates increase by 1%. EVE=$( )Loan A(8%, 3 year)= $150 Deposit A(5%, 2 years)=$250 Loan B(11%, 4 years)= $200 Deposit B(7%, 3 year)= $100Total Assets = $350 Total Liabilities = $350 a. 16.44 b. 17.44 c. 18.44 d. 19.44) Prince Edward Bank considers increasing a type of loans in the credit portfolio by $3,500,000,which will generate a gross income of 2.5%p.a. The bank assumes PD is 10% and estimates LGDis 20% and EAD as 80%. The net income, which is gross income minus Expected Loss (i.e. EL),will be used in the RAROC analysis. When doing so, the Bank refers to the net income andunexpected loss (i.e. UL) as the capital-as-risk estimation.Required:If the ROE of Prince Edward Bank is targeted at 25%, analyze whether the loans could be addedto the portfolio by RARoC analysis