Lenow’s Drug Stores and Hall’s Pharmaceuticals are competitors in the discount drug chain store business. The separate capital structures for Lenow and Hall are presented here.
Lenow | Hall | |||||
Debt @ 8% | $ | 300,000 | Debt @ 8% | $ | 600,000 | |
Common stock, $10 par | 600,000 | Common stock, $10 par | 300,000 | |||
Total | $ | 900,000 | Total | $ | 900,000 | |
Common shares | 60,000 | Common shares | 30,000 | |||
a. Complete the following table given earnings
before interest and taxes of $34,000, $72,000, and $89,000. Assume
the tax rate is 10 percent. (Negative amounts should be
indicated by parentheses or a minus sign. Round
your answers to 2 decimal places.)
b-1. What is the EBIT/TA rate when the firm's have
equal EPS?
EBIT/TA rate %
b-2. What is the cost of debt?
Cost of debt %
b-3. State the relationship between earnings per
share and the level of EBIT.
EPS is unaffected by financial leverage when the pretax return on assets (EBIT/TA)
c. If the cost of debt went up to 10 percent and
all other factors remained equal, what would be the break-even
level for EBIT?
Break-even level:
Please rate..
Answer a. | |||||||||
i | ii | iii=i/ii | |||||||
EBIT | Total asset | EBIT/TA | Lenow EPS | Hall EPS | |||||
34000 | 900000 | 3.78% | 0.15 | (0.42) | |||||
72000 | 900000 | 8.00% | 0.72 | 0.72 | |||||
89000 | 900000 | 9.89% | 0.98 | 1.23 | |||||
Computation of EPS | |||||||||
Lenow | Hall | ||||||||
i | EBIT | 34000 | 72000 | 89000 | 34000 | 72000 | 89000 | ||
ii | interest | 24000 | 24000 | 24000 | 48000 | 48000 | 48000 | ||
iii=i-ii | EBT | 10000 | 48000 | 65000 | -14000 | 24000 | 41000 | ||
iv=iii*.9 | PAT=EBT*(1-0.1) | 9000 | 43200 | 58500 | -12600 | 21600 | 36900 | ||
v | Share out standing | 60000 | 60000 | 60000 | 30000 | 30000 | 30000 | ||
vi=iv/v | EPS | 0.15 | 0.72 | 0.98 | (0.42) | 0.72 | 1.23 | ||
Answer b.-1 | |||||||||
at 8% EBIT/TA both the firm has equal EPS $0.71 per share | |||||||||
Answer b.-2 | |||||||||
Cost of debt =8% | |||||||||
Answer b.-3 | |||||||||
relationship | |||||||||
Pretax return is lower than cost of debt therefore Hall EPS is lower compared to Lenow | |||||||||
Pretax return is equal to the cost of debt therefore both EPS are equal | |||||||||
pretax return is higher than cost of debt therefore Lenow EPS is lower than Hall EPS | |||||||||
Therefore EPS is unaffected when cost of debt = EBIT/TA =8% | |||||||||
Answer c | |||||||||
Break even level if debt cost increased to 10% | |||||||||
At break even (with 10% cost of debt) we should have EBIT/TA = 10% | |||||||||
EBIT = 10%* TA | |||||||||
EBIT = | 10%*900000 | ||||||||
EBIT = | 90000 | ||||||||
Breakeven EBIT = | 90000 |
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