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Consider two local banks. Bank A has 75 loans outstanding, each for $1.0 million, that it expects will be repaid today. Each loan has a
Consider two local banks. Bank A has 75 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 $75 million outstanding, which it also expects will be repaid today. It also has a 3% 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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