Consider the setting of Problems 21 and 22, and suppose Petron Corp. must pay a 25% tax
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a. Which strategy will Petron choose with no debt? Which will it choose with a face value of $10 million, $30 million, or $50 million in debt? (Assume management maximizes the value of equity, and in the case of ties, will choose the safer strategy.)
b. Given your answer to (a), show that the total combined value of Petron’s equity and debt is maximized with a face value of $30 million in debt.
c. Show that if Petron has $30 million in debt outstanding, shareholders can gain by increasing the face value of debt to $50 million, even though this will reduce the total value of the firm.
d. Show that if Petron has $50 million in debt outstanding, shareholders will lose by buying back debt to reduce the face value of debt to $30 million, even though that will increase the total value of the firm.
Face Value
Face value is a financial term used to describe the nominal or dollar value of a security, as stated by its issuer. For stocks, the face value is the original cost of the stock, as listed on the certificate. For bonds, it is the amount paid to the...
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