Optimal leverage under trade-off theory

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Question: Optimal Leverage under Trade-off Theory

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 onetime dividends, 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%

Reference no: EM132402986

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