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Your firm is considering issuing one-year debt, and has come up with the following estimates of the value of the interest tax shield and the

Your firm is considering issuing one-year debt, and has come up with the following estimates of the value of the interest tax shield and the probability of distress for different levels of debt:

Debt level ($ Million)

0

40

50

60

70

80

90

PV (interests tax shield, $ Million)

0.00

0.76

0.95

1.14

1.33

1.53

1.71

Probability of financial distress

0%

0%

1%

2%

7%

16%

31%

Suppose the firm has a beta of zero, so that the appropriate discount rate for financial distress costs is the risk-free rate of 5%. Which level of debt above is optimal if, in the event of distress,the firm will have distress costs equal to

  1. $2 million?

  2. $5 million?

  3. $25 million?

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