In: Finance
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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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%.