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%

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%

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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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?
ZLX is seeking a bank to place short-term deposits at a good rate. Bank A is offering 3.5% APR compounded daily, while Bank B is offering an effective annual rate of 3.54%. Which bank should ZLX select? A) Bank A B) Bank B C) ZLX is indifferent because the rates are equivalent
A corporate customer obtains a $2 million loan from a bank. The annual spread between the interest rate of this loan and the bank’s cost of fund is 6%, and this bank charges an annual fee of 2.8%. The expected probability of default of this borrower is 9.6%, and the loss given default is 30.7%. Calculate the expected return on this loan based on Moody’s analytics portfolio manager model. Round your answer up to 4 decimal places in decimal term, i.e., enter 0.1234 instead of 12.34%.
Consider two local banks. Bank A has 92 loans outstanding, each for $1.0 million, that it expects will be repaid today. Each loan has a 3% 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 $92 million outstanding, which it also expects will be repaid today. It also has a 3% probability of not being repaid. Calculate the following: The expected payoff of Bank A. The expected payoff of Bank B. The standard deviation of the overall payoff of Bank A. The standard deviation of the overall payoff of Bank B.
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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.
1. Which of the following is not a way in which banks lend short-term unsecured loans? Choices: By sending the amount earned from trust and investment products offered by the bank Through a guaranteed credit line that has a commitment fee for any unused amount for the year Through credits cards lines with a certain credit limit By lending a single date maturity loan to a debtor 2. The following are methods of acquiring funds through long-term financing, except Choices: Issuing bonds with semi-annual coupon payment at a discounted price Selling equity securities at an amount above the par value indicated in the stock certificate Issuing a note that indicates a promise to pay the indicated supplier in a future date Selling equity securities with a characteristic of both debt and equity security 3. Which is false about long-term sources of a firm's capital? Choices: Preferred shares are securities whose intrinsic value is based on prospective earnings All types of…
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A bank makes a loan of $1,000,000 at a rate of 6% p.a. It also requires a compensating balance of 5%. What is the effective cost to the borrower? 6.05% 6.25% 6.32% 6.45% You invest $10,000 in a 270-day CD at a rate of 6%, compounded daily. What is the amount you receive at maturity? $10,460.24 $10,600.22 $11,200.35 $11,345.48
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