Thursday 12 September 2013

The most recent financial statements for Shinoda Manufacturing Co. are shown below: Income Statement Balance Sheet Sales $ 63,600 Current assets $ 25,000 Debt $ 41,200 Costs 44,980 Fixed assets 77,900 Equity 61,700 Taxable income $ 18,620 Total $ 102,900 Total $ 102,900 Tax (35%) 6,517 Net Income $ 12,103 Assets and costs are proportional to sales. Debt and equity are not. The company maintains a constant 37 percent dividend payout ratio. No external financing is possible. Required: What is the internal growth rate? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places (e.g., 32.16).) Internal growth rate % Explanation: To calculate the internal growth rate, we need to find the ROA and the plowback ratio. The ROA for the company is: ROA = Net income / Total assets ROA = $12,103 / $102,900 ROA = .1176 or 11.76% And the plowback ratio is: b = 1 – Payout ratio b = 1 – .37 b = .63 Now, we can use the internal growth rate equation to find: Internal growth rate = [(ROA)(b)] / [1 – (ROA)(b)] Internal growth rate = [.1176(.63)] / [1 – .1176(.63)] Internal growth rate = .0800, or 8.00%

The most recent financial statements for Shinoda Manufacturing Co. are shown below:

Income Statement Balance Sheet
  Sales $ 63,600     Current assets $ 25,000     Debt $ 41,200  
  Costs   44,980     Fixed assets   77,900     Equity   61,700  
 

 

 

  Taxable income $ 18,620        Total $ 102,900        Total $ 102,900  
       



 



  Tax (35%)   6,517              
 

           
  Net Income $ 12,103              
 



           


Assets and costs are proportional to sales. Debt and equity are not. The company maintains a constant 37 percent dividend payout ratio. No external financing is possible.

Required:
What is the internal growth rate? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places (e.g., 32.16).)

  Internal growth rate  %


Explanation:
To calculate the internal growth rate, we need to find the ROA and the plowback ratio. The ROA for the company is:
 
ROA =   Net income / Total assets
ROA =   $12,103 / $102,900
ROA =   .1176 or 11.76%
 
And the plowback ratio is:
 
b = 1 – Payout ratio
b = 1 – .37
b = .63   
 
Now, we can use the internal growth rate equation to find:
 
Internal growth rate =   [(ROA)(b)] / [1 – (ROA)(b)]
Internal growth rate =   [.1176(.63)] / [1 – .1176(.63)]
Internal growth rate =   .0800, or 8.00%

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