What is the value of this levered firm? EBIT is $750,000 with an unlevered cost of equity of 10%, tax rate of 21%, and the firm just issued a $1,000,000 bond with a coupon of 6%.
Solution: | ||
Value of this levered firm | 6,135,000 | |
Working Notes: | ||
Unlevered value of the firm Vu | ||
Vu = EBIT x (1- tax rate )/ Cost of Equity unlevered | ||
Vu = EBIT x (1- tax rate )/R0 | ||
Vu = 750000 x (1- 0.21 )/10% | ||
Vu = 5,925,000 | ||
Levered value of the firm VL | ||
VL = Vu + Borrowing x tax rate | ||
VL = 5,925,000 + 1,000,000 x 21% | ||
VL = 5,925,000 + 210,000 | ||
VL = $6,135,000 | ||
Value of this levered firm = 6,135,000 | ||
Please feel free to ask if anything about above solution in comment section of the question. |
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