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Problem 3-13 External Funds Needed The Optical Scam Company has forecast a sales growth rate of...

Problem 3-13 External Funds Needed

The Optical Scam Company has forecast a sales growth rate of 20 percent for next year. The current financial statements are shown here:

  

Income Statement
  Sales $ 31,200,000
  Costs 26,673,600
  Taxable income $ 4,526,400
  Taxes 1,584,240
  Net income $ 2,942,160
  Dividends $ 1,176,864
  Addition to retained earnings 1,765,296

  

Balance Sheet
Assets Liabilities and Equity
  Current assets $ 7,280,000   Short-term debt $ 6,552,000
        Long-term debt 5,248,000
  Fixed assets 19,240,000
  
  Common stock $ 2,902,000
  Accumulated retained earnings 11,818,000
  Total equity $ 14,720,000
  Total assets $ 26,520,000   Total liabilities and equity $ 26,520,000

  

a.

Calculate the external financing needed for next year. (Do not round intermediate calculations and round your answer to the nearest whole number, e.g., 32.)

  

   External financing needed $   

  

b-1.

Prepare the firm’s pro forma balance sheet for next year. (Do not round intermediate calculations and round your answers to the nearest whole number, e.g., 32.)

Balance Sheet
Assets Liabilities and equity
  Current assets $      Short-term debt $   
     Long-term debt   
  Fixed assets   
     Common stock $   
  Accumulated retained earnings   
  Total equity   
  Total assets $      Total liabilities and equity $   

  

b-2.

Calculate the external financing needed. (Do not round intermediate calculations and round your answer to the nearest whole number, e.g., 32.)

  

  External financing needed $   

  

c.

Calculate the sustainable growth rate for the company based on the current financial statements. (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)

  

  Sustainable growth rate %

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Solutions

Expert Solution

a.

Net Income = $2,942,160

Dividend payment =1,176,864

Addition to retained earnings = $1,765,296

Now.

External finance needed = (Growth rate × Total Assets) - Addition to retained earnings

= (20% × $26,520,000) - $1,765,296

= $5,304,00 - $$1,765,296

= $3,538,704

External Finance needed is $3,538,704.

b.

Retention Ratio = $1,765,296 / $2,942,160

                          = 60%

Retention ratio of company is 60%.

Return on equity = Net Income / total equity

                            = $2,942,160 / 14,720,000

                            = 19.99%

Return on equity is 19.99%.

Sustainable Growth rate is calculated below using following formula:

Sustainable Growth rate = Retention ratio × return on equity

                                        = 60% × 19.99%

                                        = 11.99%

Hence, Sustainable Growth rate is 11.99%.


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