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Your firm currently has no debt and a marginal tax rate of 40%. You are contemplating issuing a one-year bond to pay your shareholders a

Your firm currently has no debt and a marginal tax rate of 40%. You are contemplating issuing a one-year bond to pay your shareholders a one-time dividend, but you are unsure how much debt to issue. After one year you will repay the debt.

However, depending on how much debt you issue you will face a different interest rate and a different probability of financial distress (see table below). If you experience financial distress you expect the present value of distress costs to be $10 million. Assume that there are no agency benefits and no agency costs associated with this transaction. How much debt should you issue?

Estimates under Different Debt Levels

Debt Principal in $ millions

0

40

60

80

90

rD

0

3.50%

4%

4.50%

5%

Probability of Financial Distress

0.0%

0.0%

1.0%

5.0%

9.0%

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