3. An entrepreneur has two projects to choose between. Both require an investment of $1 which must be borrowed. The projects produce gross returns in one year as follows.: Project payoff if failure ($) payoff if success ($) probability of success I Risky 0 10 2/10 6/10 Safe 0 6 Suppose there are 100 such entrepreneurs.. A bank cannot observe the project choice of an entrepreneur. Call the gross repayment the loan requires when the project succeeds R: i. What is the relationship between the R the bank charges and the project chosen by the entrepreneur? Explain in detail. ii. Over what ranges of R will the safe and risky projects, respectively, be chosen? What is the maximum R banks can charge consistent with the entrepreneur choosing the safe project? Explain. iii. What R will banks charge and why?

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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3. An entrepreneur has two projects to choose between. Both require an investment of $1 which
must be borrowed. The projects produce gross returns in one year as follows.:
Project
Risky
Safe
payoff if failure ($)
payoff if success ($)
10
probability of success
2/10
6/10
Suppose there are 100 such entrepreneurs. A bank cannot observe the project choice of an
entrepreneur. Call the gross repayment the loan requires when the project succeeds R:
i What is the relationship between the R the bank charges and the project chosen by the
entrepreneur? Explain in detail
ii. Over what ranges of R will the safe and risky projects, respectively, be chosen? What is the
maximum R banks can charge consistent with the entrepreneur choosing the safe project? Explain.
ii. What R will banks charge and why?
Transcribed Image Text:3. An entrepreneur has two projects to choose between. Both require an investment of $1 which must be borrowed. The projects produce gross returns in one year as follows.: Project Risky Safe payoff if failure ($) payoff if success ($) 10 probability of success 2/10 6/10 Suppose there are 100 such entrepreneurs. A bank cannot observe the project choice of an entrepreneur. Call the gross repayment the loan requires when the project succeeds R: i What is the relationship between the R the bank charges and the project chosen by the entrepreneur? Explain in detail ii. Over what ranges of R will the safe and risky projects, respectively, be chosen? What is the maximum R banks can charge consistent with the entrepreneur choosing the safe project? Explain. ii. What R will banks charge and why?
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