Tuesday, 3 July 2012

Reliable Gearing currently is all-equity-financed. It has 14,000 shares of equity outstanding


Reliable Gearing currently is all-equity-financed. It has 14,000 shares of equity outstanding, selling at $100 a share. The firm is considering a capital restructuring. The low-debt plan calls for a debt issue of $300,000 with the proceeds used to buy back stock. The high-debt plan would exchange $300,000 of debt for equity. The debt will pay an interest rate of 10.4%. The firm pays no taxes.

a.
What will be the debt-to-equity ratio after each contemplated restructuring? (Round your answers to 2 decimal places.)


   Debt-to-Equity Ratio
  Low-debt plan
       
  High-debt plan
       



b-1.
If earnings before interest and tax (EBIT) will be either $110,000 or $160,000, what will be earnings per share for each financing mix for both possible values of EBIT? (Round your answers to 2 decimal places.)


Earnings Per Share
  EBIT
       Low-Debt Plan
     High-Debt Plan
  $110,000
$    
$   
  $160,000
  
  



b-2.
If both scenarios are equally likely, what is expected (i.e., average) EPS under each financing mix? (Do not round intermediate calculations. Round your answers to 2 decimal places.)


        Earnings Per Share
  Low-debt plan
$      
  High-debt plan
     



b-3.
Is the high-debt mix preferable?



No

c.
Suppose that EBIT is $145,600. What is EPS under each financing mix? (Round your answers to 2 decimal places.)


        Earnings Per Share
  Low-debt plan
$     
  High-debt plan
    




Explanation:
Some values below may show as rounded for display purposes, though unrounded numbers should be used for the actual calculations.

a.
Market value of the firm is $100 × 14,000 = $1,400,000.
With the low-debt plan, equity falls by $300,000, so:
D/E = $300,000/$1,100,000 = 0.27
11,000 shares remain outstanding.

With the high-debt plan, equity falls by $300,000, so:
D/E = $300,000/$1,100,000 = 0.27
11,000 shares remain outstanding.

b.
Low-debt plan:




  EBIT
$110,000  
$160,000  
  Interest
31,200  
31,200  
  Equity earnings
78,800  
128,800  
  EPS [earnings/11,000]
7.16  
11.71  



Expected EPS = ($7.16 + $11.71)/2 = $9.44

High-debt plan:




  EBIT
$110,000  
$160,000  
  Interest
31,200  
31,200  
  Equity earnings
78,800  
128,800  
  EPS [earnings/11,000]
7.16  
11.71  



Expected EPS = ($7.16 + $11.71)/2 = $9.44

The high-debt plan results in lower expected EPS, it is preferable because it also entails lower risk. The higher risk shows up in the fact that EPS for the high-debt plan is lower than EPS for the low-debt plan when EBIT is low but EPS for the high-debt plan is higher when EBIT is higher.

c.


  Low-Debt Plan
  High-Debt Plan
  EBIT
$145,600      
$145,600      
  Interest
31,200      
31,200      
  Equity earnings
114,400      
114,400      
  EPS
10.40      
10.40      

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