Two types of borrowers, type A and B, are requesting a loan in the amount of $44,000. Type A repays with prob. 1, while type B repays with prob. 0.76. If a bank cannot observe type, but believes that fraction 0.8 of the borrower pool is type A, then what is the competitive pooling rate the bank can offer these borrowers? 8.7% 7.7% 6.5% 5.0%
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- A financial institution uses a loan base rate of 4.35% and sets the credit risk premium at 6.68%. The institution charges a 1.5% loan origination fee and imposes 3.22 % compensating balances. The required reserves for this institution are 10%. Additionally suppose your institution specifies the following linear probability model to estimate the probability of default: PD = Bo - Bi Wealth-B2Credit Score + B3 Number of Bankruptcics Bo = 10, 109.5 %3D B1 = 0.10 %3D B2 = 0.20 %3D B3 = 0.60 %3D Use the information above to answer the question. What is the gross rate of return on the loan? O 9.31% O 11.03% O 12.53% O 12.90%Question 5.A bank has borrowing needs at timeT >0. Show that by combining an FRAtrade today with a libor loan at timeT, the bank can today lock in its interest cost forthe periodTtoT+α. Does the borrowing bank need to buy or sell the FRA to do this?What is the fixed rate that the bank locks in?3. Suppose you dopiest SR 5000 in currency into your checking account at a branch of Al-Rajhi Bank, which we will assume that the required reserve ration is %10. a. Use a T-account to show the initial effect of this transaction on Al-Rajhi's balance sheet. b. Suppose that Al-Rajhi Bank makes the maximum loan it can from the fund you deposited. Use a T-account to show the the initial effect of this transaction on Al- Rajhi's balance sheet. Also include in this T-account the transaction from part (a). c. Now suppose that whoever took out the loan in part (b) writes a check for this amount and that person receiving the check deposit in Alinma Bank. Use a T-account to show the the initial effect of this transaction on Alinma's balance sheet.
- A financial institution uses a loan base rate of 4.35% and sets the credit risk premium at 6.68%. The institution charges a 1.5% loan origination fee and imposes 3.22% compensating balances. The required reserves for this institution are 10%. Additionally suppose your institution specifies the following linear probability model to estimate the probability of default: PD=80-8₁ Wealth - B₂Credit Score + B3 Number of Bankruptcies Bo= 10, 109.5 8₁0.10 B₂ = 0.20 B3 = 0.60 Use the information above to answer the question. What is the gross rate of return on the loan? O 9.31% O 11.03% O 12.53% 12.90%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.Bozo Bank makes a loan to Rizzo Razors. It has a base lending rate on loans of 11% and charges a risk premium of 3% on the loan. It does not charge an origination fee, but imposes compensating balances of 10%. Reserve Requirements are 10%, and they do not pay interest. a. What would be the approximate cost of the loan to Rizzo Razors? b. What would be the return to the bank?
- A commercial bank is planning to offer Luna a loan in the amount of $15,000 and the bank figures that Luna will repay the loan in full with probability 0.79 and default otherwise. Also, Luna has asked for an interest rate of 12%. In order for the bank to be able to offer this rate, what is the collateral amount that Luna must offer the bank in the event of default? $8,177.5 $8,228.6 $8,366.9 $8,401.1ank A has offered you a loan worth $20,000 for 180 days whereas bank B offered you the same loan but as a compensating balance loan. Which offer would you take and why, explain Why could have bank B offered a compensating balance loan.From the banker’s point of view, when the banker quotes a floating interest, in doingso, the banker is passing on the interest rate risk to the borrower.• What if the banker has to quote a fixed interest rate but his cost of funds are floating?In this case, the customer/borrower faces no risk but the banker does.• Example: As a Credit Officer bank you have agreed to provide a customer with a fixedrate, 3-month, RM 20 million loan 90 days from today. You had priced the loan at 12%annual interest rate.• The following quotes are available in the market.3-month KLIBOR = 9 %3-month KLIBOR futures = 90.0 (matures in 90 days) How would you protect yourself from a rise interest rates?
- Consider two local banks Bank A has 100 loans outstanding, each for $1.0 million, that it expects will be repaid today. Each loan has a 5% probability of default, in which case the bank is not repaid anything. The chance of default is independent across all the loans. Bank B has only one loan of $100 million outstanding, which it also expects will be repaid today It also has a 5% probability of not being repaid Calculate the following a. The expected overall payoff of each bank b. The standard deviation of the overall payoff of each bank a. The expected overall payoff of each bank The expected overall payoff of Bank A is $95 million (Round to the nearest integer) The expected overall payoff of Bank B is $95 million (Round to the nearest integer) b. The standard deviation of the overall payoff of each bank. The standard deviation of the overall payoff of Bank A is [217% (Round to two decimal places) The standard deviation of the overall payoff of Bank B is 21.79% (Round to two decimal…3. What are the advantages and disadvantages of a fixed principal, fixed interest loan? 4. What is the purpose of a bridge loan? 5. Distinguish between bank discount and simple interest.6. Differentiate between a stated rate of interest and an effective rate of interest. 7. What is the significance of finding the internal rate of return (IRR)? 8. Jill Kramer borrowed $25,000 to pay for a startup business. Jill must repay the loan at the end of five months in one payment with a 6 percent simple interest rate.What is the total amount that Jill must repay in five months?How much interest does Jill repay?9. Joe Jones went to his bank to find out how long it will take for $1,000 to amount to $1,350 at 9 percent simple interest. Solve Joe's problem.lu that he accept? Problem 7 EFFECTIVE VERSUS NOMINAL INTEREST RATES. Bank A pays 4% interest compounded annually on deposits, while Bank B pays 3.5% compounded daily. a. Based on the EAR (or EFF%), which bank should you use? b. Could your choice of banks be influenced by the fact that you might want to withdraw your funds during the year as opposed to at the end of the year? Assume that your funds must be left on deposit during an entire compounding period in order to receive any interest. Page 35 of 161