Corporate Finance (4th Edition) (Pearson Series in Finance) - Standalone book
4th Edition
ISBN: 9780134083278
Author: Jonathan Berk, Peter DeMarzo
Publisher: PEARSON
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Chapter 10, Problem 20P
Consider two local banks. Bank A has 100 loans outstanding, each for $1 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. Explain the difference between the type of risk each bank races. Which bank faces less risk? Why?
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Consider two local banks. Bank A has 95 loans outstanding, each for $1.0 million, that it expects will be repaid today. Each loan has a 4% 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 $95 million outstanding, which it also expects will be repaid today. It also has a 4% probability of not being repaid. Which bank faces less risk? Why?
A. The expected payoff is higher for Bank A, but is riskier. I prefer Bank B.
B. The expected payoffs are the same, but Bank A is less risky. I prefer Bank A.
C. In both cases, the expected loan payoff is the same: $95 million×0.96=$91.2 million. Consequently, I don't care which bank I own.
D. The expected payoffs are the same, but Bank A is riskier. I prefer Bank B.
Consider two local banks. Bank A has 83 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 $83 million outstanding, which it also expects will be
repaid today. It also has a 3% probability of not being repaid. Which bank faces less risk? Why?
(Select the best choice below.)
O A. The expected payoff is higher for Bank A, but is riskier. I prefer Bank B.
B. The expected payoffs are the same, but Bank A is less risky. I prefer Bank A.
C. The expected payoffs are the same, but Bank A is riskier. I prefer Bank B.
D. In both cases, the expected loan payoff is the same: $83 million x 0.97 = $80.5 million. Consequently, I don't
care which bank I own.
Consider two local banks. Bank A has 77 loans outstanding, each for $1.0 million, that it expects will be repaid today. Each loan has a 4%
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 $77 million outstanding, which it also expects will be repaid today. It also has a 4% 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.
Chapter 10 Solutions
Corporate Finance (4th Edition) (Pearson Series in Finance) - Standalone book
Ch. 10.1 - For an investment horizon from 1926 to 2012, which...Ch. 10.1 - For an investment horizon of just one year, which...Ch. 10.2 - Prob. 1CCCh. 10.2 - Prob. 2CCCh. 10.3 - How do we estimate the average annual return of an...Ch. 10.3 - Prob. 2CCCh. 10.4 - Prob. 1CCCh. 10.4 - Do expected returns of well-diversified large...Ch. 10.4 - Do expected returns for Individual stocks appear...Ch. 10.5 - What is the difference between common risk and...
Ch. 10.5 - Prob. 2CCCh. 10.6 - Explain why the risk premium of diversifiable risk...Ch. 10.6 - Why is the risk premium of a security determined...Ch. 10.7 - What is the market portfolio?Ch. 10.7 - Define the beta of a security.Ch. 10.8 - Prob. 1CCCh. 10.8 - Prob. 2CCCh. 10 - The figure on page informalfigure shows the...Ch. 10 - Prob. 2PCh. 10 - Prob. 3PCh. 10 - Prob. 4PCh. 10 - Prob. 5PCh. 10 - Prob. 6PCh. 10 - The last four years of returns for a stock are as...Ch. 10 - Prob. 9PCh. 10 - Prob. 10PCh. 10 - Prob. 11PCh. 10 - How does the relationship between the average...Ch. 10 - Consider two local banks. Bank A has 100 loans...Ch. 10 - Prob. 21PCh. 10 - Prob. 22PCh. 10 - Consider an economy with two types of firms, S and...Ch. 10 - Prob. 24PCh. 10 - Explain why the risk premium of a stock does not...Ch. 10 - Prob. 26PCh. 10 - Prob. 27PCh. 10 - What is an efficient portfolio?Ch. 10 - What does the beta of a stock measure?Ch. 10 - Prob. 31PCh. 10 - Prob. 32PCh. 10 - Prob. 33PCh. 10 - Suppose the risk-free interest rate is 4%. a. i....Ch. 10 - Prob. 35PCh. 10 - Prob. 36PCh. 10 - Suppose the market risk premium is 6.5% and the...Ch. 10 - Prob. 38P
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- Suppose that the First United Bank of America has two loans. Each is due to be repaid one period hence and has independent and identically distributed cash flows. Each loan will repay $300 with a probability of 0.8 and $150 with a probability of 0.2. However, while the bank knows this, the investors cannot distinguish this loan from that of the Third TransAmerica Bank, which has the same number of loans, but will pay $300 with a probability of 0.5 and $150 with a probability of 0.5. There is a prior belief of 0.5 that the First United Bank of America has the higher-valued portfolio. Suppose that the First United wished to securitize these loans, and if it does so without a credit enhancement, the cost of communicating the true value is 7.5% of the true value. Assume that the discount rate is zero and that everybody is risk- neutral. Consider the following securitization scenario. The First United can create two classes of bondholders in a senior- subordinated structure or junior-senior…arrow_forwardSuppose that the First United Bank of America has two loans. Each is due to be repaid one period hence and has independent and identically distributed cash flows. Each loan will repay $300 with a probability of 0.8 and $150 with a probability of 0.2. However, while the bank knows this, the investors cannot distinguish this loan from that of the Third TransAmerica Bank, which has the same number of loans, but will pay $300 with a probability of 0.5 and $150 with a probability of 0.5. There is a prior belief of 0.5 that the First United Bank of America has the higher-valued portfolio. Suppose that the First United wished to securitize these loans, and if it does so without a credit enhancement, the cost of communicating the true value is 7.5% of the true value. Assume that the discount rate is zero and that everybody is risk-neutral. Consider the following securitization scenario. The First United can create two classes of bondholders in a senior- subordinated structure or junior-senior…arrow_forwardTwo 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%arrow_forward
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