Why do the lines differ in shape?

Progressive Home Health Care Inc. is a for-profit provider of home health care services in the Pacif Show more Progressive Home Health Care Inc. is a for-profit provider of home health care services in the Pacific Northwest. At present it has EBIT of $2 million per year no debt and a market value of approximately $12 million. Although management is pleased with the good financial condition of Progressive they are also concerned that the firm might be the target of a potential hostile takeover by a large competitor. Therefore Progressive is considering issuing debt to buy back shares the interest on which would be tax deductible (its tax rate is 40 percent). Management recognizes that as the amount of debt increases both the value of the firm and the risk of financial distress increase. The CFO estimates that the present value of any future financial distress costs is $8 million and that the probability of distress increases with the amount of debt in the following steps: Probability of financial Value of debt distress 0 0% $2500000 1% $5000000 2% $7500000 4% $10000000 8% $12500000 16% $15000000 32% $20000000 64% a. What is Progressives cost of equity and corporate cost of capital now? b. According to MM with corporate taxes what is the optimal level of debt? c. According to MM with corporate taxes and financial distress what is the optimal level of debt? d. Plot the value of Progressive with and without the costs of financial distress as a function of the amount of debt. Why do the lines differ in shape? Show less

 

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