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. Calculate the following:
a. The expected overall payoff of each bank.
b. The standard deviation of the overall payoff of each bank.