1. If a firm has $6.5 million in debt, $27.8 million in equity, a tax rate of 35

Question

1. If a firm has $6.5 million in debt, $27.8 million in equity, a tax rate of 35%, and pays 7% interest on debt, what is the firm's PV of the interest tax shields?

2. The unlevered firm expects to earn $250,000 in net operating income each year for the foreseeable future. It has a tax rate of 40% and has a capitalization rate of 8% equal to the industry required return for this type of firm. It calculates that there is a 10% chance the firm will fall into bankruptcy in any given year and that, if bankruptcy does occur, it will impose direct and indirect costs totaling $48,000. Assume that, in the event of bankruptcy, the firm will reorganize and continue operations indefinitely, with a constant 10% probability of reentering bankruptcy. If necessary, use the industry required return for discounting bankruptcy costs. Assume that the firm considers borrowing $500,000 debt at an interest rate 5% and use the proceeds to repurchase an equal amount of outstanding stock. With this level of debt, the likelihood of falling into bankruptcy in any given year increases to 15%, and if bankruptcy occurs then it will impose direct and indirect costs totaling $48,000. With all benefits and costs considered, what is the overall value of the levered firm if the proposed $500,000 debt is used, assuming no personal taxes on debt or equity income?

Explanation / Answer

1)

Present value of interest tax shield:

= $6,500,000×35%

= $2,275,000

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