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 LGD is 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 and unexpected 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 added to the portfolio by RARoC analysis
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) 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 LGD
is 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 and
unexpected loss (i.e. UL) as the capital-as-risk estimation.
Required:
If the
to the portfolio by RARoC analysis
Step by step
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- a) A commercial bank is planning to give a loan of $3,000,000 to a firm. The bank expects to charge an up-front fee of 0.15% and a service fee of 0.04%. The loan has a maturity of 10 years. The cost of funds (and the RAROC benchmark) for the commercial bank is 12%. The commercial bank has estimated the risk premium on the loan to be approximately 0.20%, based on three years of historical data. The current market interest rate for loans in this sector is 12.15%. The 99th (extreme case) loss rate for borrowers of this type has historically run at 4%, and the dollar proportion of loans of this type that cannot be recaptured on default has historically been 85%. The 'bank's Return on Equity (ROE) ratio is 13%. Using the risk-adjusted return on capital (RAROC) model, should the commercial bank make the loan? Please show each step of your calculation.Set Corporation is deciding which of two banks to borrow from on a 1-year basis. Bank A charges an 18 percent interest rate payable at maturity. Bank B charges a 17 percent interest rate on a discount basis. Which loan is cheaper and its effective interest rate? choose the letter of the correct answera. Bank A with 18%b. Bank B with 18%c. Bank A with 20.5%d. Bank B with 20.5%e. Both banks with 20.5%Suppose that a bank does the following: a. Sets a loan rate on a prospective loan with BR = 4.23% and ϕ = 3.16%. b. Charges a 0.33 percent loan origination fee to the borrower. c. Imposes a 9 percent compensating balance requirement to be held as noninterest-bearing demand deposits. d. Holds reserve requirements of 8 percent imposed by the Federal Reserve on the bank’s demand deposits. Calculate the bank’s ROA on this loan.
- Jolly Banker is calculating the loan price for a $500,000 operating loan to Kelly business. If approved, this loan will be funded with 35% equity capital, and the remaining funds will come from the bank's debt capital. You have the following information about your bank’s outlays: Administrative costs 0.45% Cost of debt 7.00% Cost of equity 5.00% Probability of loss 0.55% Fees paid by the borrower 1.00% Calculate the weighted average cost of debt for this funding request. (Enter your answer in percentage. Round your answer to 2 decimal places)Assume a bank’s review of its historical loan losses has been estimated at 1.33% for its auto loans. The bank currently has gross auto loans of $2,000,000. If the bank determines that the optimal or desired rate (r) for its auto loans is 4.5%, what rate should it charge to compensate for its expected losses?An FI is planning the purchase of a $4 million loan to raise the existing average duration of its assets from 4.8 years to 6.3 years. It currently has total assets worth $20 million, $4 million in cash (0 duration), and $16 million in loans. All the loans are fairly priced. a-1. Assuming it uses the cash to purchase the loan, calculate the duration of the existing loan. a-2. Assuming the FI uses the cash to purchase the loan and that the loan has a 8.3 year duration, calculate the resulting duration of the asset portfolio. a-3. Should it purchase the loan if its duration is 8.3 years?b. What asset duration loans should it purchase in order to raise its average duration to 6.3 years?
- AB Borda shall establish a risk-adjusted required rate of return as part of their investment analysis. The company has produced the following information: • The investment will be financed to 40% with bank loans and 60% with equity • The company's tax rate is 22% • The government bond for the intended investment period has an interest rate corresponding to 2% • The company has negotiated with the bank for a loan for the investment with an interest rate of 5%. • For the investment period, the company has an expectation that the index for the market portfolio will increase from the current 110 to 119.9 at the end of the investment period. • The company's intended investment has a covariance with a market portfolio of 120 and that the standard deviation for the market portfolio is 7.56. a) Calculate the company's nationally adjusted return requirement for the investment.A bank has estimated its expected (predicted) loan loss rate on its consumer loans at 3.25%. If the bank wishes to earn 8% on it consumer loans, what rate should it charge its customers?Maximum Bank has analyzed the accounts receivable of Scientific Software, Inc. The bank has chosen eight accounts totaling $134,000 that it will accept as collateral. The bank’s terms include a lending rate set at prime 3% and a 2% commission charge. The prime rate currently is 8.5%. 1.The bank will adjust the accounts by 10% for returns and allowances. It then will lend up to 85% of the adjusted acceptable collateral. What is the maximum amount that the bank will lend to Scientific Software? Format: 111,111 2.What is Scientific Software’s effective annual rate of interest if it borrows $100,000 for 12 months? (Note: Assume a 365- day year and a prime rate that remains at 8.5% during the life of the loan.) Format: 11.1%
- Van Buren Resources Inc. is considering borrowing $100,000 for 182 days from its bank. Van Buren will pay $6,000 of interest at maturity, and it will repay the $100,000 of principal at maturity. a. Calculate the loan’s annual financing cost. b. Calculate the loan’s annual percentage rate. c. What is the reason for the difference in your answers to Parts a and b?A bank sets the loan rate on a prospective loan at 14%. This consists of a 12% base rate and a 2% credit risk premium. It charges 1/8 of a percent loan origination fee to the borrower and imposes a 10% compensating balance requirement to be held as non-interest bearing demand deposits. It is also required to set aside reserves at a rate of 10% of deposits with the Federal Reserve. • What is the total return on this loan?Suppose that a bank does the following: a. Sets a loan rate on a prospective loan at 8 percent (where BR=5% and φ=3%. b. Charges a 110 percent (or 0.10 percent) loan origination fee to the borrower. c. Imposes a 5 percent compensating balance requirement to be held as non-interest-bearing demand deposits. d. Holds reserve requirements of 10 percent imposed by the Federal Reserve on the bank’s demand deposits. Calculate the bank’s ROA on this loan.