26 Jul WHAT IS THE PRESENT VALUE OF ALL OF YOUR EXPECTED TAX SHIELDS?
In this question we are going to value a tax shield when there is a probability that the firm will Show more In this question we are going to value a tax shield when there is a probability that the firm will default and will be unable to repay its debt payments. Assume that if the firm defaults the firm is liquidated that is if the firm defaults it does not issue any more debt and it does not obtain any more tax shields after default. Your firm just issued a one-year bond with a $1000 face value and a 4 percent promised interest payment. There is a 20 percent chance that the firm will default. In the event that the firm defaults it repays the face value but not the interest. In the event that the firm does not default it repays both the face value and the interest. If the firm does not default it re-issues a one-year bond with a $1000 face value and a 4 percent promised interest payment. The probability of default in every year is the same. Tax shields are only received on interest payments and not on the repayment of the face value of the bond. Assume a tax rate of 35 percent in all years and a discount rate of 4 percent on all cash flows. a) What is the expected tax shield next year? b) What is the expected tax shield in two years? Keep in mind that the only event in which you will receive this tax shield is when you do not default in the next two years. c) What is the present value of all of your expected tax shields? Show your work. Hint: for and ? ( ) ( ). d) What is the present value of all of your future tax shields if the firm has no probability of defaulting? How does this compare with your answer in part (c)? Show less
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