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DAR Corporation is comparing two different capital structures: an all-equity pla

ID: 2761585 • Letter: D

Question

DAR Corporation is comparing two different capital structures: an all-equity plan (Plan I) and a levered plan (Plan II). Under Plan I, the company would have 185,000 shares of stock outstanding. Under Plan II, there would be 135,000 shares of stock outstanding and $2.7 million in debt outstanding. The interest rate on the debt is 5 percent, and there are no taxes.

If EBIT is $375,000, what is the EPS for each plan? (Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.)

  

    

If EBIT is $625,000, what is the EPS for each plan? (Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.)

  

   

What is the break-even EBIT? (Do not round intermediate calculations. Enter your answer in dollars, not millions of dollars, e.g., 1,234,567.)

  

a.

If EBIT is $375,000, what is the EPS for each plan? (Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.)

Explanation / Answer

Solution:

a.

Calculation of EPS under each plan (If EBIT $375,000)

All Equity

Levered Plan

Plan I

Plan II

Shares of Stock outstanding

185,000

135,000

Debt Value

-

$2,700,000

EBIT (given)

$375,000

$375,000

Less: Interest on Debt @ 5%

0

$135,000

EBT

$375,000

$240,000

Less: Tax

0

0

EAT

$375,000

$240,000

Divide by number of shares outstanding

185,000

135,000

EPS

$2.03

$1.78

EPS

  Plan I

$2.03   

  Plan II

$1.78   

b.

Calculation of EPS under each plan (if EBIT $625,000)

All Equity

Levered Plan

Plan I

Plan II

Shares of Stock outstanding

185,000

135,000

Debt Value

-

$2,700,000

EBIT (given)

$625,000

$625,000

Less: Interest on Debt @ 5%

0

$135,000

EBT

$625,000

$490,000

Less: Tax

0

0

EAT

$625,000

$490,000

Divide by number of shares outstanding

185,000

135,000

EPS

$3.38

$3.63

EPS

  Plan I

$ 3.38  

  Plan II

$ 3.63  

c.

Break Even EBIT

Break Even EBIT / No. of Shares outstanding in Plan I = (Break Even EBIT – Interest on Debt) / No. of Shares outstanding in plan II

Break Even EBIT /185,000 = (Break Even EBIT - $135,000) / 135,000

Break Even EBIT / 185 = (Break Even EBIT - $135,000) / 135

135 Break Even EBIT = 185 Break Even EBIT - $24,975,000

Or

185 Break Even EBIT - 135 Break Even EBIT = $24,975,000

50 Break Even EBIT = $24,975,000

Break Even EBIT = $24,975,000 / 50

Break Even EBIT = $499,500

All Equity

Levered Plan

Plan I

Plan II

Shares of Stock outstanding

185,000

135,000

Debt Value

-

$2,700,000

EBIT (given)

$375,000

$375,000

Less: Interest on Debt @ 5%

0

$135,000

EBT

$375,000

$240,000

Less: Tax

0

0

EAT

$375,000

$240,000

Divide by number of shares outstanding

185,000

135,000

EPS

$2.03

$1.78