Answer:
Unlevered Levered
EAT EBIT * (1-t) EBIT - Interest - Tax
No. of shares 4,200 3,800
Payoff per share holder = EAT / Number of shares. At Indifference point, per share payoff should be equal in both cases
EBIT * 0.66 / 4,200 = (EBIT - (37,000*8%) * 0.66) / 3,800
0.66*EBIT / 4,200 = [0.66*EBIT - 2,960*0.66] / 3,800
3,800 * 0.66EBIT = 4,200*[0.66EBIT - 1,954]
2,508 EBIT = 2,772 EBIT - 8,206,800
2,772 EBIT - 2,508 EBIT = 8,206,800
264 EBIT = 8,206,800
EBIT = 8,206,800/264
EBIT = 31086.36363636364
EBIT = $31,086.36