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.) 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.

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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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.
Transcribed Image Text: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.
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