Consider two local banks. Bank A has 100 loans outstanding, each for $0.9 million, that it expects will be repaid today. Each loan has a 7% 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 $90 million outstanding, which it also expects will be repaid today. It also has a 7% 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.
Consider two local banks. Bank A has 100 loans outstanding, each for $0.9 million, that it expects will be repaid today. Each loan has a 7% 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 $90 million outstanding, which it also expects will be repaid today. It also has a 7% 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.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Consider two local banks. Bank A has 100 loans outstanding, each for $0.9 million, that it expects will be repaid today. Each loan has a 7% 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 $90 million outstanding, which it also expects will be repaid today. It also has a 7% 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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