Corporate Finance (4th Edition) (Pearson Series in Finance) - Standalone book
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.

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Corporate Finance (4th Edition) (Pearson Series in Finance) - Standalone book

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Portfolio return, variance, standard deviation; Author: MyFinanceTeacher;https://www.youtube.com/watch?v=RWT0kx36vZE;License: Standard YouTube License, CC-BY