In: Finance
14. The Albany Company has a present capital structure consisting of common stock ($200 million, 10 million shares) and debt ($150 million, 8% coupon rate). The company is planning a major expansion and is undecided between two financing plans.
Plan A: Equity financing. Under this plan, an additional 2.5 million shares of common stock will be sold at $15 per share.
Plan B: Debt financing. Under this plan, $37.5 million of 10% long-term debt 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.
a) $6.75 million d) $30.75 million
Use breakeven EBIT formula
Plan A | Plan B | |
Interest expense | 150*8%= 12 (current debt outstanding) | 12 (current debt) + (37.5*10%=3.75 )new Debt = 15.75 |
Number of shares outstanding | 10+2.5=12.50 M shares | 10 M shares |
At breakeven ,Earning per share under both plans are equal .
Earning per share =Earning available to common stockholders /number of shares
Plan A | Plan B | |
EBIT | EBIT | EBIT |
less Interest | 12 | 15.75 |
EBT | EBIT-12 | EBIT-15.75 |
less:Tax expense |
.21[EBIT-12] .21EBIT-2.52 |
.21[EBIT-15.75] .21EBIT- 3.3075 |
EAT/Net income |
[EBIT-12]-[.21EBIT-2.52] EBIT-12-.21EBIT +2.52 .79EBIT - 9.48 |
[EBIT-15.75]-[.21EBIT-3.3075] EBIT-15.75-.21EBIT+3.3075 .79EBIT- 12.4425 |
Number of shares outstanding | 12.5 | 10 |
[.79EBIT - 9.48]/12.5 = [.79EBIT-12.4425]/10
.79EBIT -9.48 = 12.5[.79EBIT - 12.4425]/10
.79EBIT -9.48= 1.25[.79EBIT-12.4425]
.79EBIT -9.48 = .9875EBIT-15.553125
.9875 EBIT -.79 EBIT = 15.553125-9.48
.1975EBIT = 6.073125
EBIT = 6.073125 /.1975
= 30.75 MILLION
Breakeven point EBIT = 30.75 million