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Practice problem--it's very helpful ~

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Department
Economics
Course Code
ECO359H5
Professor
Sun

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ECO359/2011UniversityofToronto
PracticeProblems5  DepartmentofEconomics
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ECO 359 Practice Problems 5
1. (DEBT OVERHANG) Air Ontario is in deep financial trouble. If everything goes well, next
period Air Ontario will be worth $100 million, but this event only occurs with probability 1/5.
With probability 4/5, the company is ultimately bankrupt -- it will be worth 0. Mrs. Lulu, a
smart investor from Macao, contemplates saving Air Ontario. She believes she can turn
around the business, but it would cost her F = $20 million. If she enters, Air Ontario is worth
$100 million with probability 1/5 + µ and 0 with probability 4/5 - µ. If Mrs. Lulu gets
involved, she would get all extra profits that the company makes. Assume there are no
discounting, no interest rates, and no taxes.
(a) For which values of µ does Mrs. Lulu's engagement in Air Ontario have a positive net
present value?
From now on assume µ = 0.3. All that stands between Mrs. Lulu and the company's
turnaround are the union. As it stands, workers have a legal claim of face value B = $40
million in the next period (you can think about this as a debt-obligation).
(b) If the union insists on workers' claims, would Mrs. Lulu get involved? Explain your
answer carefully.
(c) How much of their claim does the union have to give up so that Mrs. Lulu gets involved?
(d) Is there a reasonable amount of claim that Mrs. Lulu can ask the union to give up without
reducing workers’ expected welfare?
2. (DEBT OVERHANG) Consider the following example of a manager owned firm: There are two
periods t = 1, 2, the owner-manager is risk-neutral, the interest rate is zero and capital markets
are competitive. The firm's cash-flows and assets in period 1 and 2 are as follows:
The firm has outstanding debt with face value B repayable in period t = 2. The firm's cash-
flow in period t = 2 will be 200 with probability 0.1 and 0 with probability 0.9.
At t = 1 the owner-manager has to decide whether to undertake a new project at cost F = 40
(which he has to pay out of his own pocket). If the project is undertaken, the future cash-flow
becomes 200 with probability 0.1 + µ and 0 with probability 0.9 - µ.
(a) Compute the NPV of the new project. For which values of µ is it positive?
From now on assume that µ = 0.4.
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Description
ECO3592011 UniversityofToronto PracticeProblems5 DepartmentofEconomics ECO 359 Practice Problems 5 1. (D EBT O VERHANG ) Air Ontario is in deep financial trouble. If everything goes well, next period Air Ontario will be worth $100 million, but this event only occurs with probability 15. With probability 45, the company is ultimately bankrupt -- it will be worth 0. Mrs. Lulu, a smart investor from Macao, contemplates saving Air Ontario. She believes she can turn around the business, but it would cost her F = $20 million. If she enters, Air Ontario is worth $100 million with probability 15 + and 0 with probability 45 - . If Mrs. Lulu gets involved, she would get all extra profits that the company makes. Assume there are no discounting, no interest rates, and no taxes. (a) For which values of does Mrs. Lulus engagement in Air Ontario have a positive net present value? From now on assume = 0.3. All that stands between Mrs. Lulu and the companys turnaround are the union. As it stands, workers have a legal claim of face value B = $40 million in the next period (you can think about this as a debt-obli
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