Assume that there are two types of borrowers high and low. The high type occurs with probability 0.75 and the low type occurs with probability 0.25. The high type succeeds and generates a gross return of 2 with probability 0.8 and fails and generates a gross return of 0 with probability 0.2. The low type succeeds and generates a gross return of 10 with probability 0.2 and fails and generates a gross return of 0 with probability 0.8. Assume limited liability. In addition, assume that the two types of potential borrowers are INDISTINGUISHABLE. What do you expect to happen if a commercial bank chooses to charge a gross interest rate of 1.5 to a potential borrower? O Both types will apply O Only the low type will apply O Neither type will apply O Only the high type will apply

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Assume that there are two types of borrowers high and low. The high type occurs with probability 0.75 and the low type occurs with
probability 0.25. The high type succeeds and generates a gross return of 2 with probability 0.8 and fails and generates a gross return
of 0 with probability 0.2. The low type succeeds and generates a gross return of 10 with probability 0.2 and fails and generates a gross
return of 0 with probability 0.8. Assume limited liability. In addition, assume that the two types of potential borrowers are
INDISTINGUISHABLE. What do you expect to happen if a commercial bank chooses to charge a gross interest rate of 1.5 to a
potential borrower?
O Both types will apply
O Only the low type will apply
O Neither type will apply
O Only the high type will apply
Transcribed Image Text:Assume that there are two types of borrowers high and low. The high type occurs with probability 0.75 and the low type occurs with probability 0.25. The high type succeeds and generates a gross return of 2 with probability 0.8 and fails and generates a gross return of 0 with probability 0.2. The low type succeeds and generates a gross return of 10 with probability 0.2 and fails and generates a gross return of 0 with probability 0.8. Assume limited liability. In addition, assume that the two types of potential borrowers are INDISTINGUISHABLE. What do you expect to happen if a commercial bank chooses to charge a gross interest rate of 1.5 to a potential borrower? O Both types will apply O Only the low type will apply O Neither type will apply O Only the high type will apply
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