In: Finance
Clover Foods is considering two different capital structures. The first option consists of 12,000 shares of stock. The second option consists of 8,000 shares of stock plus $125,000 of debt at an interest rate of 8 percent. Ignore taxes. What is the break-even level of earnings before interest and taxes (EBIT) between these two options?
Break-even is the EBIT at which EPS of both options are same
Let X be the Break-even EBIT
Unlevered | Levered | ||
a | EBIT | X | X |
b | Less: Interest | - | 10,000 |
c | EBT (a-b) | X | X-10000 |
d | Less: Tax | - | - |
e | Earnings After Tax/Net income (c-d) | X | X-10000 |
f | Shares outstanding* | 12,000 | 8,000 |
g | EPS (e/f) | X/12000 | (X-10000)/8000 |
X/12000 = (X-10000)/8000
X-10000 = 8000X/12000
= 0.66666666666X
X-0.66666666666X = 10000
0.33333333334 X= 10000
X = 10000/0.33333333334
= 29999.9999994
= 30000