19. Brooks Corporation is financed with $32 million of 9% debt and $68 million of common equity. The firm has 1 million shares of common stock outstanding. Brooks needs to raise $25 million and is undecided between two possible plans for raising this capital:
Plan A: Equity financing. Under this plan, common stock will be sold at $62.50 per share.
Plan B: Debt financing. Under this plan, 11% coupon bonds will be sold. At what level of operating income (EBIT) will the firm be indifferent between the two plans? Assume a 21% marginal tax rate.
Use breakeven EBIT formula
At Breakeven ,Earning per share under both alternatives are equal.It is calculated using the formula=Earning available to stockholders /number of shares outstanding:
Alternative 1 | 2 | |
Interest |
current outstanding 32*9%=2.88 |
current outstanding +new issue of debt [32*9%]+[25*11%] 2.88+ 2.75 5.63 |
Number of shares outstanding |
1 million shares (current outstanding) +[25million/62.5] new issue 1+ .40 1.4 million shares |
1 million shares |
Alternative 1 | 2 | |
EBIT | EBIT | EBIT |
Less:Interest | 2.88 | 5.63 |
EBT | EBIT -2.88 | EBIT-5.63 |
less:Tax |
.21[EBIT-2.88] .21EBIT - .6048 |
.21[EBIT-5.63] .21EBIT -1.1823 |
Income after tax |
[EBIT-2.88]-[.21EBIT-.6048] EBIT -2.88 -.21EBIT +.6048 .79 EBIT - 2.2752 |
[EBIT-5.63]-[.21EBIT -1.1823] EBIT -5.63 -.21EBIT +1.1823 .79EBIT - 4.4477 |
Number of shares outstanding | 1.4 | 1 |
At breakeven ,earning per shares are equal
[.79ebit -2.2752 ]/1.4 = [.79ebit -4.4477]/1
.79EBIT -2.2752 = 1.4[.79EBIT -4.4477]
.79EBIT- 2.2752 = 1.106 EBIT - 6.22678
1.106EBIT -.79 EBIT = -2.2752 +6.22678
.316 EBIT = 3.95158
EBIT = 3.95158 /.316
= $ 12.505 Million
Breakeven point EBIT = 12.505 Million or 12,505,000
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