Question
Question III: The Diamond Model (35 points) Vandelay Industries would like to fund a new project in importing and exporting goods. To do this, they
Question III: The Diamond Model (35 points)
Vandelay Industries would like to fund a new project in importing and exporting goods. To do this, they will need funding to cover various startup costs. Assume the following:
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The probability that the project is successful is 75%, and the probability of failure is 25%.
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The company needs to raise $100,000 to start its operation, and in a successful state, the project will be worth $150,000, while it will be worth its initial $100,000 if it fails.
H.E. Pennypacker, a wealthy American industrialist also wants to fund a new project in clothing retail. He also decides to pursue funding for various startup costs. Assume the following:
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The probability that the project is successful is 75%, and the probability of failure is thus 25%.
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The company needs to raise $100,000 to start its operation, and in a successful state, the project will be worth $150,000, while it will be worth its initial $100,000 if it fails.
Assumptions for both projects:
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Bankruptcy costs are 50%.
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Potential lenders require a rate of return of 5%.
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Monitoring Costs are $100 per each $25,000 that the bank funds
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The projects are independent of one another
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Assume Vandelay Industries pursues direct financing. To what should a potential lender set the face value of a loan to Vandelay Industries? Now assume that the bankruptcy costs increase to 75%. What should the face value of the loan be? (7 points)
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Return to the original assumption that bankruptcy costs are 50%. Vandelay Industries receives news that the project is successful. What return does the firm receive? What return does the lender receive? (7 points)
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Vandelay Industries offers to pay back the (direct financing) lender less than the face value you calculated above, claiming that a series of unfortunate events made the project a failure. What should the lender do? (3 points)
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Calculate the following probabilities: (3 points) a. Vandelay Industries and Pennypackers projects both succeed b. One of the two projects fails c. Both Vandelay Industries and Pennypackers projects fail
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If a bank were only to finance Pennypackers project, what would its probability of default be? What is the banks probability of default be if it funds both projects? (3 points)
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What rate should the bank promise to repay its depositors if it decides to fund both projects? (4 points)
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For what face value is monitoring feasible for the bank? (3 points)
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What are the expected profits for the bank? (5 points)
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